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skia / external / github.com / BinomialLLC / basis_universal / 19111ce77b388cd27c29f0a8a1cdc078ed5bdd26 / . / contrib / previewers / lib / basisu_transcoder.cpp
blob: 37640ee158913140a4013533bd3135f443100740 [file] [log] [blame]
/**
* Basis Universal single file library. Generated using:
* \code
* ./combine.sh -r ../../transcoder -o basisu_transcoder.cpp basisu_transcoder-in.cpp
* \endcode
*/
/*
* Transcoder build options for known platforms (iOS has ETC, ASTC and PVRTC;
* Emscripten adds DXT to iOS's options; Android adds PVRTC2 to Emscripten's
* options; other platforms build all except FXT1).
*
* See https://github.com/BinomialLLC/basis_universal#shrinking-the-transcoders-compiled-size
*/
#ifdef __APPLE__
#include <TargetConditionals.h>
#endif
#if TARGET_OS_IPHONE
#define BASISD_SUPPORT_DXT1 0
#define BASISD_SUPPORT_DXT5A 0
#endif
#if TARGET_OS_IPHONE || defined(__EMSCRIPTEN__) || defined(__ANDROID__)
#define BASISD_SUPPORT_BC7 0
#define BASISD_SUPPORT_ATC 0
#ifndef __ANDROID__
#define BASISD_SUPPORT_PVRTC2 0
#endif
#endif
#define BASISD_SUPPORT_FXT1 0
/*
* KTX2 support disabled.
*/
#define BASISD_SUPPORT_KTX2 0
/**** start inlining basisu_transcoder.cpp ****/
// basisu_transcoder.cpp
// Copyright (C) 2019-2021 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
/**** start inlining basisu_transcoder.h ****/
// basisu_transcoder.h
// Copyright (C) 2019-2021 Binomial LLC. All Rights Reserved.
// Important: If compiling with gcc, be sure strict aliasing is disabled: -fno-strict-aliasing
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
// By default KTX2 support is enabled to simplify compilation. This implies the need for the Zstandard library (which we distribute as a single source file in the "zstd" directory) by default.
// Set BASISD_SUPPORT_KTX2 to 0 to completely disable KTX2 support as well as Zstd/miniz usage which is only required for UASTC supercompression in KTX2 files.
// Also see BASISD_SUPPORT_KTX2_ZSTD in basisu_transcoder.cpp, which individually disables Zstd usage.
#ifndef BASISD_SUPPORT_KTX2
#define BASISD_SUPPORT_KTX2 1
#endif
// Set BASISD_SUPPORT_KTX2_ZSTD to 0 to disable Zstd usage and KTX2 UASTC Zstd supercompression support
#ifndef BASISD_SUPPORT_KTX2_ZSTD
#define BASISD_SUPPORT_KTX2_ZSTD 1
#endif
// Set BASISU_FORCE_DEVEL_MESSAGES to 1 to enable debug printf()'s whenever an error occurs, for easier debugging during development.
#ifndef BASISU_FORCE_DEVEL_MESSAGES
#define BASISU_FORCE_DEVEL_MESSAGES 0
#endif
/**** start inlining basisu_transcoder_internal.h ****/
// basisu_transcoder_internal.h - Universal texture format transcoder library.
// Copyright (C) 2019-2021 Binomial LLC. All Rights Reserved.
//
// Important: If compiling with gcc, be sure strict aliasing is disabled: -fno-strict-aliasing
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#ifdef _MSC_VER
#pragma warning (disable: 4127) // conditional expression is constant
#endif
#define BASISD_LIB_VERSION 116
#define BASISD_VERSION_STRING "01.16"
#ifdef _DEBUG
#define BASISD_BUILD_DEBUG
#else
#define BASISD_BUILD_RELEASE
#endif
/**** start inlining basisu.h ****/
// basisu.h
// Copyright (C) 2019-2021 Binomial LLC. All Rights Reserved.
// Important: If compiling with gcc, be sure strict aliasing is disabled: -fno-strict-aliasing
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#ifdef _MSC_VER
#pragma warning (disable : 4201)
#pragma warning (disable : 4127) // warning C4127: conditional expression is constant
#pragma warning (disable : 4530) // C++ exception handler used, but unwind semantics are not enabled.
// Slamming this off always for v1.16 because we've gotten rid of most std containers.
#ifndef BASISU_NO_ITERATOR_DEBUG_LEVEL
#define BASISU_NO_ITERATOR_DEBUG_LEVEL (1)
#endif
#ifndef BASISU_NO_ITERATOR_DEBUG_LEVEL
//#define _HAS_ITERATOR_DEBUGGING 0
#if defined(_DEBUG) || defined(DEBUG)
// This is madness, but we need to disable iterator debugging in debug builds or the encoder is unsable because MSVC's iterator debugging implementation is totally broken.
#ifndef _ITERATOR_DEBUG_LEVEL
#define _ITERATOR_DEBUG_LEVEL 1
#endif
#ifndef _SECURE_SCL
#define _SECURE_SCL 1
#endif
#else // defined(_DEBUG) || defined(DEBUG)
#ifndef _SECURE_SCL
#define _SECURE_SCL 0
#endif
#ifndef _ITERATOR_DEBUG_LEVEL
#define _ITERATOR_DEBUG_LEVEL 0
#endif
#endif // defined(_DEBUG) || defined(DEBUG)
#endif // BASISU_NO_ITERATOR_DEBUG_LEVEL
#endif // _MSC_VER
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <stdarg.h>
#include <string.h>
#include <memory.h>
#include <limits.h>
#include <stdint.h>
#include <algorithm>
#include <limits>
#include <functional>
#include <iterator>
#include <type_traits>
#include <assert.h>
#include <random>
/**** start inlining basisu_containers.h ****/
// basisu_containers.h
#include <stdlib.h>
#include <stdio.h>
#include <stdint.h>
#include <assert.h>
#include <algorithm>
#if defined(__linux__) && !defined(ANDROID)
// Only for malloc_usable_size() in basisu_containers_impl.h
#include <malloc.h>
#define HAS_MALLOC_USABLE_SIZE 1
#endif
// Set to 1 to always check vector operator[], front(), and back() even in release.
#define BASISU_VECTOR_FORCE_CHECKING 0
// If 1, the vector container will not query the CRT to get the size of resized memory blocks.
#define BASISU_VECTOR_DETERMINISTIC 1
#ifdef _MSC_VER
#define BASISU_FORCE_INLINE __forceinline
#else
#define BASISU_FORCE_INLINE inline
#endif
namespace basisu
{
enum { cInvalidIndex = -1 };
namespace helpers
{
inline bool is_power_of_2(uint32_t x) { return x && ((x & (x - 1U)) == 0U); }
inline bool is_power_of_2(uint64_t x) { return x && ((x & (x - 1U)) == 0U); }
template<class T> const T& minimum(const T& a, const T& b) { return (b < a) ? b : a; }
template<class T> const T& maximum(const T& a, const T& b) { return (a < b) ? b : a; }
inline uint32_t floor_log2i(uint32_t v)
{
uint32_t l = 0;
while (v > 1U)
{
v >>= 1;
l++;
}
return l;
}
inline uint32_t next_pow2(uint32_t val)
{
val--;
val |= val >> 16;
val |= val >> 8;
val |= val >> 4;
val |= val >> 2;
val |= val >> 1;
return val + 1;
}
inline uint64_t next_pow2(uint64_t val)
{
val--;
val |= val >> 32;
val |= val >> 16;
val |= val >> 8;
val |= val >> 4;
val |= val >> 2;
val |= val >> 1;
return val + 1;
}
} // namespace helpers
template <typename T>
inline T* construct(T* p)
{
return new (static_cast<void*>(p)) T;
}
template <typename T, typename U>
inline T* construct(T* p, const U& init)
{
return new (static_cast<void*>(p)) T(init);
}
template <typename T>
inline void construct_array(T* p, size_t n)
{
T* q = p + n;
for (; p != q; ++p)
new (static_cast<void*>(p)) T;
}
template <typename T, typename U>
inline void construct_array(T* p, size_t n, const U& init)
{
T* q = p + n;
for (; p != q; ++p)
new (static_cast<void*>(p)) T(init);
}
template <typename T>
inline void destruct(T* p)
{
(void)p;
p->~T();
}
template <typename T> inline void destruct_array(T* p, size_t n)
{
T* q = p + n;
for (; p != q; ++p)
p->~T();
}
template<typename T> struct int_traits { enum { cMin = INT32_MIN, cMax = INT32_MAX, cSigned = true }; };
template<> struct int_traits<int8_t> { enum { cMin = INT8_MIN, cMax = INT8_MAX, cSigned = true }; };
template<> struct int_traits<int16_t> { enum { cMin = INT16_MIN, cMax = INT16_MAX, cSigned = true }; };
template<> struct int_traits<int32_t> { enum { cMin = INT32_MIN, cMax = INT32_MAX, cSigned = true }; };
template<> struct int_traits<uint8_t> { enum { cMin = 0, cMax = UINT8_MAX, cSigned = false }; };
template<> struct int_traits<uint16_t> { enum { cMin = 0, cMax = UINT16_MAX, cSigned = false }; };
template<> struct int_traits<uint32_t> { enum { cMin = 0, cMax = UINT32_MAX, cSigned = false }; };
template<typename T>
struct scalar_type
{
enum { cFlag = false };
static inline void construct(T* p) { basisu::construct(p); }
static inline void construct(T* p, const T& init) { basisu::construct(p, init); }
static inline void construct_array(T* p, size_t n) { basisu::construct_array(p, n); }
static inline void destruct(T* p) { basisu::destruct(p); }
static inline void destruct_array(T* p, size_t n) { basisu::destruct_array(p, n); }
};
template<typename T> struct scalar_type<T*>
{
enum { cFlag = true };
static inline void construct(T** p) { memset(p, 0, sizeof(T*)); }
static inline void construct(T** p, T* init) { *p = init; }
static inline void construct_array(T** p, size_t n) { memset(p, 0, sizeof(T*) * n); }
static inline void destruct(T** p) { p; }
static inline void destruct_array(T** p, size_t n) { p, n; }
};
#define BASISU_DEFINE_BUILT_IN_TYPE(X) \
template<> struct scalar_type<X> { \
enum { cFlag = true }; \
static inline void construct(X* p) { memset(p, 0, sizeof(X)); } \
static inline void construct(X* p, const X& init) { memcpy(p, &init, sizeof(X)); } \
static inline void construct_array(X* p, size_t n) { memset(p, 0, sizeof(X) * n); } \
static inline void destruct(X* p) { p; } \
static inline void destruct_array(X* p, size_t n) { p, n; } };
BASISU_DEFINE_BUILT_IN_TYPE(bool)
BASISU_DEFINE_BUILT_IN_TYPE(char)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned char)
BASISU_DEFINE_BUILT_IN_TYPE(short)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned short)
BASISU_DEFINE_BUILT_IN_TYPE(int)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned int)
BASISU_DEFINE_BUILT_IN_TYPE(long)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned long)
#ifdef __GNUC__
BASISU_DEFINE_BUILT_IN_TYPE(long long)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned long long)
#else
BASISU_DEFINE_BUILT_IN_TYPE(__int64)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned __int64)
#endif
BASISU_DEFINE_BUILT_IN_TYPE(float)
BASISU_DEFINE_BUILT_IN_TYPE(double)
BASISU_DEFINE_BUILT_IN_TYPE(long double)
#undef BASISU_DEFINE_BUILT_IN_TYPE
template<typename T>
struct bitwise_movable { enum { cFlag = false }; };
#define BASISU_DEFINE_BITWISE_MOVABLE(Q) template<> struct bitwise_movable<Q> { enum { cFlag = true }; };
template<typename T>
struct bitwise_copyable { enum { cFlag = false }; };
#define BASISU_DEFINE_BITWISE_COPYABLE(Q) template<> struct bitwise_copyable<Q> { enum { cFlag = true }; };
#define BASISU_IS_POD(T) __is_pod(T)
#define BASISU_IS_SCALAR_TYPE(T) (scalar_type<T>::cFlag)
#if defined(__GNUC__) && __GNUC__<5
#define BASISU_IS_TRIVIALLY_COPYABLE(...) __has_trivial_copy(__VA_ARGS__)
#else
#define BASISU_IS_TRIVIALLY_COPYABLE(...) std::is_trivially_copyable<__VA_ARGS__>::value
#endif
// TODO: clean this up
#define BASISU_IS_BITWISE_COPYABLE(T) (BASISU_IS_SCALAR_TYPE(T) || BASISU_IS_POD(T) || BASISU_IS_TRIVIALLY_COPYABLE(T) || (bitwise_copyable<T>::cFlag))
#define BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(T) (BASISU_IS_BITWISE_COPYABLE(T) || (bitwise_movable<T>::cFlag))
#define BASISU_HAS_DESTRUCTOR(T) ((!scalar_type<T>::cFlag) && (!__is_pod(T)))
typedef char(&yes_t)[1];
typedef char(&no_t)[2];
template <class U> yes_t class_test(int U::*);
template <class U> no_t class_test(...);
template <class T> struct is_class
{
enum { value = (sizeof(class_test<T>(0)) == sizeof(yes_t)) };
};
template <typename T> struct is_pointer
{
enum { value = false };
};
template <typename T> struct is_pointer<T*>
{
enum { value = true };
};
struct empty_type { };
BASISU_DEFINE_BITWISE_COPYABLE(empty_type);
BASISU_DEFINE_BITWISE_MOVABLE(empty_type);
template<typename T> struct rel_ops
{
friend bool operator!=(const T& x, const T& y) { return (!(x == y)); }
friend bool operator> (const T& x, const T& y) { return (y < x); }
friend bool operator<=(const T& x, const T& y) { return (!(y < x)); }
friend bool operator>=(const T& x, const T& y) { return (!(x < y)); }
};
struct elemental_vector
{
void* m_p;
uint32_t m_size;
uint32_t m_capacity;
typedef void (*object_mover)(void* pDst, void* pSrc, uint32_t num);
bool increase_capacity(uint32_t min_new_capacity, bool grow_hint, uint32_t element_size, object_mover pRelocate, bool nofail);
};
template<typename T>
class vector : public rel_ops< vector<T> >
{
public:
typedef T* iterator;
typedef const T* const_iterator;
typedef T value_type;
typedef T& reference;
typedef const T& const_reference;
typedef T* pointer;
typedef const T* const_pointer;
inline vector() :
m_p(NULL),
m_size(0),
m_capacity(0)
{
}
inline vector(uint32_t n, const T& init) :
m_p(NULL),
m_size(0),
m_capacity(0)
{
increase_capacity(n, false);
construct_array(m_p, n, init);
m_size = n;
}
inline vector(const vector& other) :
m_p(NULL),
m_size(0),
m_capacity(0)
{
increase_capacity(other.m_size, false);
m_size = other.m_size;
if (BASISU_IS_BITWISE_COPYABLE(T))
memcpy(m_p, other.m_p, m_size * sizeof(T));
else
{
T* pDst = m_p;
const T* pSrc = other.m_p;
for (uint32_t i = m_size; i > 0; i--)
construct(pDst++, *pSrc++);
}
}
inline explicit vector(size_t size) :
m_p(NULL),
m_size(0),
m_capacity(0)
{
resize(size);
}
inline ~vector()
{
if (m_p)
{
scalar_type<T>::destruct_array(m_p, m_size);
free(m_p);
}
}
inline vector& operator= (const vector& other)
{
if (this == &other)
return *this;
if (m_capacity >= other.m_size)
resize(0);
else
{
clear();
increase_capacity(other.m_size, false);
}
if (BASISU_IS_BITWISE_COPYABLE(T))
memcpy(m_p, other.m_p, other.m_size * sizeof(T));
else
{
T* pDst = m_p;
const T* pSrc = other.m_p;
for (uint32_t i = other.m_size; i > 0; i--)
construct(pDst++, *pSrc++);
}
m_size = other.m_size;
return *this;
}
BASISU_FORCE_INLINE const T* begin() const { return m_p; }
BASISU_FORCE_INLINE T* begin() { return m_p; }
BASISU_FORCE_INLINE const T* end() const { return m_p + m_size; }
BASISU_FORCE_INLINE T* end() { return m_p + m_size; }
BASISU_FORCE_INLINE bool empty() const { return !m_size; }
BASISU_FORCE_INLINE uint32_t size() const { return m_size; }
BASISU_FORCE_INLINE uint32_t size_in_bytes() const { return m_size * sizeof(T); }
BASISU_FORCE_INLINE uint32_t capacity() const { return m_capacity; }
// operator[] will assert on out of range indices, but in final builds there is (and will never be) any range checking on this method.
//BASISU_FORCE_INLINE const T& operator[] (uint32_t i) const { assert(i < m_size); return m_p[i]; }
//BASISU_FORCE_INLINE T& operator[] (uint32_t i) { assert(i < m_size); return m_p[i]; }
#if !BASISU_VECTOR_FORCE_CHECKING
BASISU_FORCE_INLINE const T& operator[] (size_t i) const { assert(i < m_size); return m_p[i]; }
BASISU_FORCE_INLINE T& operator[] (size_t i) { assert(i < m_size); return m_p[i]; }
#else
BASISU_FORCE_INLINE const T& operator[] (size_t i) const
{
if (i >= m_size)
{
fprintf(stderr, "operator[] invalid index: %u, max entries %u, type size %u\n", (uint32_t)i, m_size, (uint32_t)sizeof(T));
abort();
}
return m_p[i];
}
BASISU_FORCE_INLINE T& operator[] (size_t i)
{
if (i >= m_size)
{
fprintf(stderr, "operator[] invalid index: %u, max entries %u, type size %u\n", (uint32_t)i, m_size, (uint32_t)sizeof(T));
abort();
}
return m_p[i];
}
#endif
// at() always includes range checking, even in final builds, unlike operator [].
// The first element is returned if the index is out of range.
BASISU_FORCE_INLINE const T& at(size_t i) const { assert(i < m_size); return (i >= m_size) ? m_p[0] : m_p[i]; }
BASISU_FORCE_INLINE T& at(size_t i) { assert(i < m_size); return (i >= m_size) ? m_p[0] : m_p[i]; }
#if !BASISU_VECTOR_FORCE_CHECKING
BASISU_FORCE_INLINE const T& front() const { assert(m_size); return m_p[0]; }
BASISU_FORCE_INLINE T& front() { assert(m_size); return m_p[0]; }
BASISU_FORCE_INLINE const T& back() const { assert(m_size); return m_p[m_size - 1]; }
BASISU_FORCE_INLINE T& back() { assert(m_size); return m_p[m_size - 1]; }
#else
BASISU_FORCE_INLINE const T& front() const
{
if (!m_size)
{
fprintf(stderr, "front: vector is empty, type size %u\n", (uint32_t)sizeof(T));
abort();
}
return m_p[0];
}
BASISU_FORCE_INLINE T& front()
{
if (!m_size)
{
fprintf(stderr, "front: vector is empty, type size %u\n", (uint32_t)sizeof(T));
abort();
}
return m_p[0];
}
BASISU_FORCE_INLINE const T& back() const
{
if(!m_size)
{
fprintf(stderr, "back: vector is empty, type size %u\n", (uint32_t)sizeof(T));
abort();
}
return m_p[m_size - 1];
}
BASISU_FORCE_INLINE T& back()
{
if (!m_size)
{
fprintf(stderr, "back: vector is empty, type size %u\n", (uint32_t)sizeof(T));
abort();
}
return m_p[m_size - 1];
}
#endif
BASISU_FORCE_INLINE const T* get_ptr() const { return m_p; }
BASISU_FORCE_INLINE T* get_ptr() { return m_p; }
BASISU_FORCE_INLINE const T* data() const { return m_p; }
BASISU_FORCE_INLINE T* data() { return m_p; }
// clear() sets the container to empty, then frees the allocated block.
inline void clear()
{
if (m_p)
{
scalar_type<T>::destruct_array(m_p, m_size);
free(m_p);
m_p = NULL;
m_size = 0;
m_capacity = 0;
}
}
inline void clear_no_destruction()
{
if (m_p)
{
free(m_p);
m_p = NULL;
m_size = 0;
m_capacity = 0;
}
}
inline void reserve(size_t new_capacity_size_t)
{
if (new_capacity_size_t > UINT32_MAX)
{
assert(0);
return;
}
uint32_t new_capacity = (uint32_t)new_capacity_size_t;
if (new_capacity > m_capacity)
increase_capacity(new_capacity, false);
else if (new_capacity < m_capacity)
{
// Must work around the lack of a "decrease_capacity()" method.
// This case is rare enough in practice that it's probably not worth implementing an optimized in-place resize.
vector tmp;
tmp.increase_capacity(helpers::maximum(m_size, new_capacity), false);
tmp = *this;
swap(tmp);
}
}
inline bool try_reserve(size_t new_capacity_size_t)
{
if (new_capacity_size_t > UINT32_MAX)
{
assert(0);
return false;
}
uint32_t new_capacity = (uint32_t)new_capacity_size_t;
if (new_capacity > m_capacity)
{
if (!increase_capacity(new_capacity, false))
return false;
}
else if (new_capacity < m_capacity)
{
// Must work around the lack of a "decrease_capacity()" method.
// This case is rare enough in practice that it's probably not worth implementing an optimized in-place resize.
vector tmp;
tmp.increase_capacity(helpers::maximum(m_size, new_capacity), false);
tmp = *this;
swap(tmp);
}
return true;
}
// resize(0) sets the container to empty, but does not free the allocated block.
inline void resize(size_t new_size_size_t, bool grow_hint = false)
{
if (new_size_size_t > UINT32_MAX)
{
assert(0);
return;
}
uint32_t new_size = (uint32_t)new_size_size_t;
if (m_size != new_size)
{
if (new_size < m_size)
scalar_type<T>::destruct_array(m_p + new_size, m_size - new_size);
else
{
if (new_size > m_capacity)
increase_capacity(new_size, (new_size == (m_size + 1)) || grow_hint);
scalar_type<T>::construct_array(m_p + m_size, new_size - m_size);
}
m_size = new_size;
}
}
inline bool try_resize(size_t new_size_size_t, bool grow_hint = false)
{
if (new_size_size_t > UINT32_MAX)
{
assert(0);
return false;
}
uint32_t new_size = (uint32_t)new_size_size_t;
if (m_size != new_size)
{
if (new_size < m_size)
scalar_type<T>::destruct_array(m_p + new_size, m_size - new_size);
else
{
if (new_size > m_capacity)
{
if (!increase_capacity(new_size, (new_size == (m_size + 1)) || grow_hint, true))
return false;
}
scalar_type<T>::construct_array(m_p + m_size, new_size - m_size);
}
m_size = new_size;
}
return true;
}
// If size >= capacity/2, reset() sets the container's size to 0 but doesn't free the allocated block (because the container may be similarly loaded in the future).
// Otherwise it blows away the allocated block. See http://www.codercorner.com/blog/?p=494
inline void reset()
{
if (m_size >= (m_capacity >> 1))
resize(0);
else
clear();
}
inline T* enlarge(uint32_t i)
{
uint32_t cur_size = m_size;
resize(cur_size + i, true);
return get_ptr() + cur_size;
}
inline T* try_enlarge(uint32_t i)
{
uint32_t cur_size = m_size;
if (!try_resize(cur_size + i, true))
return NULL;
return get_ptr() + cur_size;
}
BASISU_FORCE_INLINE void push_back(const T& obj)
{
assert(!m_p || (&obj < m_p) || (&obj >= (m_p + m_size)));
if (m_size >= m_capacity)
increase_capacity(m_size + 1, true);
scalar_type<T>::construct(m_p + m_size, obj);
m_size++;
}
inline bool try_push_back(const T& obj)
{
assert(!m_p || (&obj < m_p) || (&obj >= (m_p + m_size)));
if (m_size >= m_capacity)
{
if (!increase_capacity(m_size + 1, true, true))
return false;
}
scalar_type<T>::construct(m_p + m_size, obj);
m_size++;
return true;
}
inline void push_back_value(T obj)
{
if (m_size >= m_capacity)
increase_capacity(m_size + 1, true);
scalar_type<T>::construct(m_p + m_size, obj);
m_size++;
}
inline void pop_back()
{
assert(m_size);
if (m_size)
{
m_size--;
scalar_type<T>::destruct(&m_p[m_size]);
}
}
inline void insert(uint32_t index, const T* p, uint32_t n)
{
assert(index <= m_size);
if (!n)
return;
const uint32_t orig_size = m_size;
resize(m_size + n, true);
const uint32_t num_to_move = orig_size - index;
if (BASISU_IS_BITWISE_COPYABLE(T))
{
// This overwrites the destination object bits, but bitwise copyable means we don't need to worry about destruction.
memmove(m_p + index + n, m_p + index, sizeof(T) * num_to_move);
}
else
{
const T* pSrc = m_p + orig_size - 1;
T* pDst = const_cast<T*>(pSrc) + n;
for (uint32_t i = 0; i < num_to_move; i++)
{
assert((pDst - m_p) < (int)m_size);
*pDst-- = *pSrc--;
}
}
T* pDst = m_p + index;
if (BASISU_IS_BITWISE_COPYABLE(T))
{
// This copies in the new bits, overwriting the existing objects, which is OK for copyable types that don't need destruction.
memcpy(pDst, p, sizeof(T) * n);
}
else
{
for (uint32_t i = 0; i < n; i++)
{
assert((pDst - m_p) < (int)m_size);
*pDst++ = *p++;
}
}
}
inline void insert(T* p, const T& obj)
{
int64_t ofs = p - begin();
if ((ofs < 0) || (ofs > UINT32_MAX))
{
assert(0);
return;
}
insert((uint32_t)ofs, &obj, 1);
}
// push_front() isn't going to be very fast - it's only here for usability.
inline void push_front(const T& obj)
{
insert(0, &obj, 1);
}
vector& append(const vector& other)
{
if (other.m_size)
insert(m_size, &other[0], other.m_size);
return *this;
}
vector& append(const T* p, uint32_t n)
{
if (n)
insert(m_size, p, n);
return *this;
}
inline void erase(uint32_t start, uint32_t n)
{
assert((start + n) <= m_size);
if ((start + n) > m_size)
return;
if (!n)
return;
const uint32_t num_to_move = m_size - (start + n);
T* pDst = m_p + start;
const T* pSrc = m_p + start + n;
if (BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(T))
{
// This test is overly cautious.
if ((!BASISU_IS_BITWISE_COPYABLE(T)) || (BASISU_HAS_DESTRUCTOR(T)))
{
// Type has been marked explictly as bitwise movable, which means we can move them around but they may need to be destructed.
// First destroy the erased objects.
scalar_type<T>::destruct_array(pDst, n);
}
// Copy "down" the objects to preserve, filling in the empty slots.
memmove(pDst, pSrc, num_to_move * sizeof(T));
}
else
{
// Type is not bitwise copyable or movable.
// Move them down one at a time by using the equals operator, and destroying anything that's left over at the end.
T* pDst_end = pDst + num_to_move;
while (pDst != pDst_end)
*pDst++ = *pSrc++;
scalar_type<T>::destruct_array(pDst_end, n);
}
m_size -= n;
}
inline void erase(uint32_t index)
{
erase(index, 1);
}
inline void erase(T* p)
{
assert((p >= m_p) && (p < (m_p + m_size)));
erase(static_cast<uint32_t>(p - m_p));
}
inline void erase(T *pFirst, T *pEnd)
{
assert(pFirst <= pEnd);
assert(pFirst >= begin() && pFirst <= end());
assert(pEnd >= begin() && pEnd <= end());
int64_t ofs = pFirst - begin();
if ((ofs < 0) || (ofs > UINT32_MAX))
{
assert(0);
return;
}
int64_t n = pEnd - pFirst;
if ((n < 0) || (n > UINT32_MAX))
{
assert(0);
return;
}
erase((uint32_t)ofs, (uint32_t)n);
}
void erase_unordered(uint32_t index)
{
assert(index < m_size);
if ((index + 1) < m_size)
(*this)[index] = back();
pop_back();
}
inline bool operator== (const vector& rhs) const
{
if (m_size != rhs.m_size)
return false;
else if (m_size)
{
if (scalar_type<T>::cFlag)
return memcmp(m_p, rhs.m_p, sizeof(T) * m_size) == 0;
else
{
const T* pSrc = m_p;
const T* pDst = rhs.m_p;
for (uint32_t i = m_size; i; i--)
if (!(*pSrc++ == *pDst++))
return false;
}
}
return true;
}
inline bool operator< (const vector& rhs) const
{
const uint32_t min_size = helpers::minimum(m_size, rhs.m_size);
const T* pSrc = m_p;
const T* pSrc_end = m_p + min_size;
const T* pDst = rhs.m_p;
while ((pSrc < pSrc_end) && (*pSrc == *pDst))
{
pSrc++;
pDst++;
}
if (pSrc < pSrc_end)
return *pSrc < *pDst;
return m_size < rhs.m_size;
}
inline void swap(vector& other)
{
std::swap(m_p, other.m_p);
std::swap(m_size, other.m_size);
std::swap(m_capacity, other.m_capacity);
}
inline void sort()
{
std::sort(begin(), end());
}
inline void unique()
{
if (!empty())
{
sort();
resize(std::unique(begin(), end()) - begin());
}
}
inline void reverse()
{
uint32_t j = m_size >> 1;
for (uint32_t i = 0; i < j; i++)
std::swap(m_p[i], m_p[m_size - 1 - i]);
}
inline int find(const T& key) const
{
const T* p = m_p;
const T* p_end = m_p + m_size;
uint32_t index = 0;
while (p != p_end)
{
if (key == *p)
return index;
p++;
index++;
}
return cInvalidIndex;
}
inline int find_sorted(const T& key) const
{
if (m_size)
{
// Uniform binary search - Knuth Algorithm 6.2.1 U, unrolled twice.
int i = ((m_size + 1) >> 1) - 1;
int m = m_size;
for (; ; )
{
assert(i >= 0 && i < (int)m_size);
const T* pKey_i = m_p + i;
int cmp = key < *pKey_i;
#if defined(_DEBUG) || defined(DEBUG)
int cmp2 = *pKey_i < key;
assert((cmp != cmp2) || (key == *pKey_i));
#endif
if ((!cmp) && (key == *pKey_i)) return i;
m >>= 1;
if (!m) break;
cmp = -cmp;
i += (((m + 1) >> 1) ^ cmp) - cmp;
if (i < 0)
break;
assert(i >= 0 && i < (int)m_size);
pKey_i = m_p + i;
cmp = key < *pKey_i;
#if defined(_DEBUG) || defined(DEBUG)
cmp2 = *pKey_i < key;
assert((cmp != cmp2) || (key == *pKey_i));
#endif
if ((!cmp) && (key == *pKey_i)) return i;
m >>= 1;
if (!m) break;
cmp = -cmp;
i += (((m + 1) >> 1) ^ cmp) - cmp;
if (i < 0)
break;
}
}
return cInvalidIndex;
}
template<typename Q>
inline int find_sorted(const T& key, Q less_than) const
{
if (m_size)
{
// Uniform binary search - Knuth Algorithm 6.2.1 U, unrolled twice.
int i = ((m_size + 1) >> 1) - 1;
int m = m_size;
for (; ; )
{
assert(i >= 0 && i < (int)m_size);
const T* pKey_i = m_p + i;
int cmp = less_than(key, *pKey_i);
if ((!cmp) && (!less_than(*pKey_i, key))) return i;
m >>= 1;
if (!m) break;
cmp = -cmp;
i += (((m + 1) >> 1) ^ cmp) - cmp;
if (i < 0)
break;
assert(i >= 0 && i < (int)m_size);
pKey_i = m_p + i;
cmp = less_than(key, *pKey_i);
if ((!cmp) && (!less_than(*pKey_i, key))) return i;
m >>= 1;
if (!m) break;
cmp = -cmp;
i += (((m + 1) >> 1) ^ cmp) - cmp;
if (i < 0)
break;
}
}
return cInvalidIndex;
}
inline uint32_t count_occurences(const T& key) const
{
uint32_t c = 0;
const T* p = m_p;
const T* p_end = m_p + m_size;
while (p != p_end)
{
if (key == *p)
c++;
p++;
}
return c;
}
inline void set_all(const T& o)
{
if ((sizeof(T) == 1) && (scalar_type<T>::cFlag))
memset(m_p, *reinterpret_cast<const uint8_t*>(&o), m_size);
else
{
T* pDst = m_p;
T* pDst_end = pDst + m_size;
while (pDst != pDst_end)
*pDst++ = o;
}
}
// Caller assumes ownership of the heap block associated with the container. Container is cleared.
inline void* assume_ownership()
{
T* p = m_p;
m_p = NULL;
m_size = 0;
m_capacity = 0;
return p;
}
// Caller is granting ownership of the indicated heap block.
// Block must have size constructed elements, and have enough room for capacity elements.
// The block must have been allocated using malloc().
// Important: This method is used in Basis Universal. If you change how this container allocates memory, you'll need to change any users of this method.
inline bool grant_ownership(T* p, uint32_t size, uint32_t capacity)
{
// To to prevent the caller from obviously shooting themselves in the foot.
if (((p + capacity) > m_p) && (p < (m_p + m_capacity)))
{
// Can grant ownership of a block inside the container itself!
assert(0);
return false;
}
if (size > capacity)
{
assert(0);
return false;
}
if (!p)
{
if (capacity)
{
assert(0);
return false;
}
}
else if (!capacity)
{
assert(0);
return false;
}
clear();
m_p = p;
m_size = size;
m_capacity = capacity;
return true;
}
private:
T* m_p;
uint32_t m_size;
uint32_t m_capacity;
template<typename Q> struct is_vector { enum { cFlag = false }; };
template<typename Q> struct is_vector< vector<Q> > { enum { cFlag = true }; };
static void object_mover(void* pDst_void, void* pSrc_void, uint32_t num)
{
T* pSrc = static_cast<T*>(pSrc_void);
T* const pSrc_end = pSrc + num;
T* pDst = static_cast<T*>(pDst_void);
while (pSrc != pSrc_end)
{
// placement new
new (static_cast<void*>(pDst)) T(*pSrc);
pSrc->~T();
++pSrc;
++pDst;
}
}
inline bool increase_capacity(uint32_t min_new_capacity, bool grow_hint, bool nofail = false)
{
return reinterpret_cast<elemental_vector*>(this)->increase_capacity(
min_new_capacity, grow_hint, sizeof(T),
(BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(T) || (is_vector<T>::cFlag)) ? NULL : object_mover, nofail);
}
};
template<typename T> struct bitwise_movable< vector<T> > { enum { cFlag = true }; };
// Hash map
template <typename T>
struct hasher
{
inline size_t operator() (const T& key) const { return static_cast<size_t>(key); }
};
template <typename T>
struct equal_to
{
inline bool operator()(const T& a, const T& b) const { return a == b; }
};
// Important: The Hasher and Equals objects must be bitwise movable!
template<typename Key, typename Value = empty_type, typename Hasher = hasher<Key>, typename Equals = equal_to<Key> >
class hash_map
{
public:
class iterator;
class const_iterator;
private:
friend class iterator;
friend class const_iterator;
enum state
{
cStateInvalid = 0,
cStateValid = 1
};
enum
{
cMinHashSize = 4U
};
public:
typedef hash_map<Key, Value, Hasher, Equals> hash_map_type;
typedef std::pair<Key, Value> value_type;
typedef Key key_type;
typedef Value referent_type;
typedef Hasher hasher_type;
typedef Equals equals_type;
hash_map() :
m_hash_shift(32), m_num_valid(0), m_grow_threshold(0)
{
}
hash_map(const hash_map& other) :
m_values(other.m_values),
m_hash_shift(other.m_hash_shift),
m_hasher(other.m_hasher),
m_equals(other.m_equals),
m_num_valid(other.m_num_valid),
m_grow_threshold(other.m_grow_threshold)
{
}
hash_map& operator= (const hash_map& other)
{
if (this == &other)
return *this;
clear();
m_values = other.m_values;
m_hash_shift = other.m_hash_shift;
m_num_valid = other.m_num_valid;
m_grow_threshold = other.m_grow_threshold;
m_hasher = other.m_hasher;
m_equals = other.m_equals;
return *this;
}
inline ~hash_map()
{
clear();
}
const Equals& get_equals() const { return m_equals; }
Equals& get_equals() { return m_equals; }
void set_equals(const Equals& equals) { m_equals = equals; }
const Hasher& get_hasher() const { return m_hasher; }
Hasher& get_hasher() { return m_hasher; }
void set_hasher(const Hasher& hasher) { m_hasher = hasher; }
inline void clear()
{
if (!m_values.empty())
{
if (BASISU_HAS_DESTRUCTOR(Key) || BASISU_HAS_DESTRUCTOR(Value))
{
node* p = &get_node(0);
node* p_end = p + m_values.size();
uint32_t num_remaining = m_num_valid;
while (p != p_end)
{
if (p->state)
{
destruct_value_type(p);
num_remaining--;
if (!num_remaining)
break;
}
p++;
}
}
m_values.clear_no_destruction();
m_hash_shift = 32;
m_num_valid = 0;
m_grow_threshold = 0;
}
}
inline void reset()
{
if (!m_num_valid)
return;
if (BASISU_HAS_DESTRUCTOR(Key) || BASISU_HAS_DESTRUCTOR(Value))
{
node* p = &get_node(0);
node* p_end = p + m_values.size();
uint32_t num_remaining = m_num_valid;
while (p != p_end)
{
if (p->state)
{
destruct_value_type(p);
p->state = cStateInvalid;
num_remaining--;
if (!num_remaining)
break;
}
p++;
}
}
else if (sizeof(node) <= 32)
{
memset(&m_values[0], 0, m_values.size_in_bytes());
}
else
{
node* p = &get_node(0);
node* p_end = p + m_values.size();
uint32_t num_remaining = m_num_valid;
while (p != p_end)
{
if (p->state)
{
p->state = cStateInvalid;
num_remaining--;
if (!num_remaining)
break;
}
p++;
}
}
m_num_valid = 0;
}
inline uint32_t size()
{
return m_num_valid;
}
inline uint32_t get_table_size()
{
return m_values.size();
}
inline bool empty()
{
return !m_num_valid;
}
inline void reserve(uint32_t new_capacity)
{
uint64_t new_hash_size = helpers::maximum(1U, new_capacity);
new_hash_size = new_hash_size * 2ULL;
if (!helpers::is_power_of_2(new_hash_size))
new_hash_size = helpers::next_pow2(new_hash_size);
new_hash_size = helpers::maximum<uint64_t>(cMinHashSize, new_hash_size);
new_hash_size = helpers::minimum<uint64_t>(0x80000000UL, new_hash_size);
if (new_hash_size > m_values.size())
rehash((uint32_t)new_hash_size);
}
class iterator
{
friend class hash_map<Key, Value, Hasher, Equals>;
friend class hash_map<Key, Value, Hasher, Equals>::const_iterator;
public:
inline iterator() : m_pTable(NULL), m_index(0) { }
inline iterator(hash_map_type& table, uint32_t index) : m_pTable(&table), m_index(index) { }
inline iterator(const iterator& other) : m_pTable(other.m_pTable), m_index(other.m_index) { }
inline iterator& operator= (const iterator& other)
{
m_pTable = other.m_pTable;
m_index = other.m_index;
return *this;
}
// post-increment
inline iterator operator++(int)
{
iterator result(*this);
++*this;
return result;
}
// pre-increment
inline iterator& operator++()
{
probe();
return *this;
}
inline value_type& operator*() const { return *get_cur(); }
inline value_type* operator->() const { return get_cur(); }
inline bool operator == (const iterator& b) const { return (m_pTable == b.m_pTable) && (m_index == b.m_index); }
inline bool operator != (const iterator& b) const { return !(*this == b); }
inline bool operator == (const const_iterator& b) const { return (m_pTable == b.m_pTable) && (m_index == b.m_index); }
inline bool operator != (const const_iterator& b) const { return !(*this == b); }
private:
hash_map_type* m_pTable;
uint32_t m_index;
inline value_type* get_cur() const
{
assert(m_pTable && (m_index < m_pTable->m_values.size()));
assert(m_pTable->get_node_state(m_index) == cStateValid);
return &m_pTable->get_node(m_index);
}
inline void probe()
{
assert(m_pTable);
m_index = m_pTable->find_next(m_index);
}
};
class const_iterator
{
friend class hash_map<Key, Value, Hasher, Equals>;
friend class hash_map<Key, Value, Hasher, Equals>::iterator;
public:
inline const_iterator() : m_pTable(NULL), m_index(0) { }
inline const_iterator(const hash_map_type& table, uint32_t index) : m_pTable(&table), m_index(index) { }
inline const_iterator(const iterator& other) : m_pTable(other.m_pTable), m_index(other.m_index) { }
inline const_iterator(const const_iterator& other) : m_pTable(other.m_pTable), m_index(other.m_index) { }
inline const_iterator& operator= (const const_iterator& other)
{
m_pTable = other.m_pTable;
m_index = other.m_index;
return *this;
}
inline const_iterator& operator= (const iterator& other)
{
m_pTable = other.m_pTable;
m_index = other.m_index;
return *this;
}
// post-increment
inline const_iterator operator++(int)
{
const_iterator result(*this);
++*this;
return result;
}
// pre-increment
inline const_iterator& operator++()
{
probe();
return *this;
}
inline const value_type& operator*() const { return *get_cur(); }
inline const value_type* operator->() const { return get_cur(); }
inline bool operator == (const const_iterator& b) const { return (m_pTable == b.m_pTable) && (m_index == b.m_index); }
inline bool operator != (const const_iterator& b) const { return !(*this == b); }
inline bool operator == (const iterator& b) const { return (m_pTable == b.m_pTable) && (m_index == b.m_index); }
inline bool operator != (const iterator& b) const { return !(*this == b); }
private:
const hash_map_type* m_pTable;
uint32_t m_index;
inline const value_type* get_cur() const
{
assert(m_pTable && (m_index < m_pTable->m_values.size()));
assert(m_pTable->get_node_state(m_index) == cStateValid);
return &m_pTable->get_node(m_index);
}
inline void probe()
{
assert(m_pTable);
m_index = m_pTable->find_next(m_index);
}
};
inline const_iterator begin() const
{
if (!m_num_valid)
return end();
return const_iterator(*this, find_next(UINT32_MAX));
}
inline const_iterator end() const
{
return const_iterator(*this, m_values.size());
}
inline iterator begin()
{
if (!m_num_valid)
return end();
return iterator(*this, find_next(UINT32_MAX));
}
inline iterator end()
{
return iterator(*this, m_values.size());
}
// insert_result.first will always point to inserted key/value (or the already existing key/value).
// insert_resutt.second will be true if a new key/value was inserted, or false if the key already existed (in which case first will point to the already existing value).
typedef std::pair<iterator, bool> insert_result;
inline insert_result insert(const Key& k, const Value& v = Value())
{
insert_result result;
if (!insert_no_grow(result, k, v))
{
grow();
// This must succeed.
if (!insert_no_grow(result, k, v))
{
fprintf(stderr, "insert() failed");
abort();
}
}
return result;
}
inline insert_result insert(const value_type& v)
{
return insert(v.first, v.second);
}
inline const_iterator find(const Key& k) const
{
return const_iterator(*this, find_index(k));
}
inline iterator find(const Key& k)
{
return iterator(*this, find_index(k));
}
inline bool erase(const Key& k)
{
uint32_t i = find_index(k);
if (i >= m_values.size())
return false;
node* pDst = &get_node(i);
destruct_value_type(pDst);
pDst->state = cStateInvalid;
m_num_valid--;
for (; ; )
{
uint32_t r, j = i;
node* pSrc = pDst;
do
{
if (!i)
{
i = m_values.size() - 1;
pSrc = &get_node(i);
}
else
{
i--;
pSrc--;
}
if (!pSrc->state)
return true;
r = hash_key(pSrc->first);
} while ((i <= r && r < j) || (r < j && j < i) || (j < i && i <= r));
move_node(pDst, pSrc);
pDst = pSrc;
}
}
inline void swap(hash_map_type& other)
{
m_values.swap(other.m_values);
std::swap(m_hash_shift, other.m_hash_shift);
std::swap(m_num_valid, other.m_num_valid);
std::swap(m_grow_threshold, other.m_grow_threshold);
std::swap(m_hasher, other.m_hasher);
std::swap(m_equals, other.m_equals);
}
private:
struct node : public value_type
{
uint8_t state;
};
static inline void construct_value_type(value_type* pDst, const Key& k, const Value& v)
{
if (BASISU_IS_BITWISE_COPYABLE(Key))
memcpy(&pDst->first, &k, sizeof(Key));
else
scalar_type<Key>::construct(&pDst->first, k);
if (BASISU_IS_BITWISE_COPYABLE(Value))
memcpy(&pDst->second, &v, sizeof(Value));
else
scalar_type<Value>::construct(&pDst->second, v);
}
static inline void construct_value_type(value_type* pDst, const value_type* pSrc)
{
if ((BASISU_IS_BITWISE_COPYABLE(Key)) && (BASISU_IS_BITWISE_COPYABLE(Value)))
{
memcpy(pDst, pSrc, sizeof(value_type));
}
else
{
if (BASISU_IS_BITWISE_COPYABLE(Key))
memcpy(&pDst->first, &pSrc->first, sizeof(Key));
else
scalar_type<Key>::construct(&pDst->first, pSrc->first);
if (BASISU_IS_BITWISE_COPYABLE(Value))
memcpy(&pDst->second, &pSrc->second, sizeof(Value));
else
scalar_type<Value>::construct(&pDst->second, pSrc->second);
}
}
static inline void destruct_value_type(value_type* p)
{
scalar_type<Key>::destruct(&p->first);
scalar_type<Value>::destruct(&p->second);
}
// Moves *pSrc to *pDst efficiently.
// pDst should NOT be constructed on entry.
static inline void move_node(node* pDst, node* pSrc, bool update_src_state = true)
{
assert(!pDst->state);
if (BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(Key) && BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(Value))
{
memcpy(pDst, pSrc, sizeof(node));
}
else
{
if (BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(Key))
memcpy(&pDst->first, &pSrc->first, sizeof(Key));
else
{
scalar_type<Key>::construct(&pDst->first, pSrc->first);
scalar_type<Key>::destruct(&pSrc->first);
}
if (BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(Value))
memcpy(&pDst->second, &pSrc->second, sizeof(Value));
else
{
scalar_type<Value>::construct(&pDst->second, pSrc->second);
scalar_type<Value>::destruct(&pSrc->second);
}
pDst->state = cStateValid;
}
if (update_src_state)
pSrc->state = cStateInvalid;
}
struct raw_node
{
inline raw_node()
{
node* p = reinterpret_cast<node*>(this);
p->state = cStateInvalid;
}
inline ~raw_node()
{
node* p = reinterpret_cast<node*>(this);
if (p->state)
hash_map_type::destruct_value_type(p);
}
inline raw_node(const raw_node& other)
{
node* pDst = reinterpret_cast<node*>(this);
const node* pSrc = reinterpret_cast<const node*>(&other);
if (pSrc->state)
{
hash_map_type::construct_value_type(pDst, pSrc);
pDst->state = cStateValid;
}
else
pDst->state = cStateInvalid;
}
inline raw_node& operator= (const raw_node& rhs)
{
if (this == &rhs)
return *this;
node* pDst = reinterpret_cast<node*>(this);
const node* pSrc = reinterpret_cast<const node*>(&rhs);
if (pSrc->state)
{
if (pDst->state)
{
pDst->first = pSrc->first;
pDst->second = pSrc->second;
}
else
{
hash_map_type::construct_value_type(pDst, pSrc);
pDst->state = cStateValid;
}
}
else if (pDst->state)
{
hash_map_type::destruct_value_type(pDst);
pDst->state = cStateInvalid;
}
return *this;
}
uint8_t m_bits[sizeof(node)];
};
typedef basisu::vector<raw_node> node_vector;
node_vector m_values;
uint32_t m_hash_shift;
Hasher m_hasher;
Equals m_equals;
uint32_t m_num_valid;
uint32_t m_grow_threshold;
inline uint32_t hash_key(const Key& k) const
{
assert((1U << (32U - m_hash_shift)) == m_values.size());
uint32_t hash = static_cast<uint32_t>(m_hasher(k));
// Fibonacci hashing
hash = (2654435769U * hash) >> m_hash_shift;
assert(hash < m_values.size());
return hash;
}
inline const node& get_node(uint32_t index) const
{
return *reinterpret_cast<const node*>(&m_values[index]);
}
inline node& get_node(uint32_t index)
{
return *reinterpret_cast<node*>(&m_values[index]);
}
inline state get_node_state(uint32_t index) const
{
return static_cast<state>(get_node(index).state);
}
inline void set_node_state(uint32_t index, bool valid)
{
get_node(index).state = valid;
}
inline void grow()
{
uint64_t n = m_values.size() * 3ULL; // was * 2
if (!helpers::is_power_of_2(n))
n = helpers::next_pow2(n);
if (n > 0x80000000UL)
n = 0x80000000UL;
rehash(helpers::maximum<uint32_t>(cMinHashSize, (uint32_t)n));
}
inline void rehash(uint32_t new_hash_size)
{
assert(new_hash_size >= m_num_valid);
assert(helpers::is_power_of_2(new_hash_size));
if ((new_hash_size < m_num_valid) || (new_hash_size == m_values.size()))
return;
hash_map new_map;
new_map.m_values.resize(new_hash_size);
new_map.m_hash_shift = 32U - helpers::floor_log2i(new_hash_size);
assert(new_hash_size == (1U << (32U - new_map.m_hash_shift)));
new_map.m_grow_threshold = UINT_MAX;
node* pNode = reinterpret_cast<node*>(m_values.begin());
node* pNode_end = pNode + m_values.size();
while (pNode != pNode_end)
{
if (pNode->state)
{
new_map.move_into(pNode);
if (new_map.m_num_valid == m_num_valid)
break;
}
pNode++;
}
new_map.m_grow_threshold = (new_hash_size + 1U) >> 1U;
m_values.clear_no_destruction();
m_hash_shift = 32;
swap(new_map);
}
inline uint32_t find_next(uint32_t index) const
{
index++;
if (index >= m_values.size())
return index;
const node* pNode = &get_node(index);
for (; ; )
{
if (pNode->state)
break;
if (++index >= m_values.size())
break;
pNode++;
}
return index;
}
inline uint32_t find_index(const Key& k) const
{
if (m_num_valid)
{
uint32_t index = hash_key(k);
const node* pNode = &get_node(index);
if (pNode->state)
{
if (m_equals(pNode->first, k))
return index;
const uint32_t orig_index = index;
for (; ; )
{
if (!index)
{
index = m_values.size() - 1;
pNode = &get_node(index);
}
else
{
index--;
pNode--;
}
if (index == orig_index)
break;
if (!pNode->state)
break;
if (m_equals(pNode->first, k))
return index;
}
}
}
return m_values.size();
}
inline bool insert_no_grow(insert_result& result, const Key& k, const Value& v = Value())
{
if (!m_values.size())
return false;
uint32_t index = hash_key(k);
node* pNode = &get_node(index);
if (pNode->state)
{
if (m_equals(pNode->first, k))
{
result.first = iterator(*this, index);
result.second = false;
return true;
}
const uint32_t orig_index = index;
for (; ; )
{
if (!index)
{
index = m_values.size() - 1;
pNode = &get_node(index);
}
else
{
index--;
pNode--;
}
if (orig_index == index)
return false;
if (!pNode->state)
break;
if (m_equals(pNode->first, k))
{
result.first = iterator(*this, index);
result.second = false;
return true;
}
}
}
if (m_num_valid >= m_grow_threshold)
return false;
construct_value_type(pNode, k, v);
pNode->state = cStateValid;
m_num_valid++;
assert(m_num_valid <= m_values.size());
result.first = iterator(*this, index);
result.second = true;
return true;
}
inline void move_into(node* pNode)
{
uint32_t index = hash_key(pNode->first);
node* pDst_node = &get_node(index);
if (pDst_node->state)
{
const uint32_t orig_index = index;
for (; ; )
{
if (!index)
{
index = m_values.size() - 1;
pDst_node = &get_node(index);
}
else
{
index--;
pDst_node--;
}
if (index == orig_index)
{
assert(false);
return;
}
if (!pDst_node->state)
break;
}
}
move_node(pDst_node, pNode, false);
m_num_valid++;
}
};
template<typename Key, typename Value, typename Hasher, typename Equals>
struct bitwise_movable< hash_map<Key, Value, Hasher, Equals> > { enum { cFlag = true }; };
#if BASISU_HASHMAP_TEST
extern void hash_map_test();
#endif
} // namespace basisu
namespace std
{
template<typename T>
inline void swap(basisu::vector<T>& a, basisu::vector<T>& b)
{
a.swap(b);
}
template<typename Key, typename Value, typename Hasher, typename Equals>
inline void swap(basisu::hash_map<Key, Value, Hasher, Equals>& a, basisu::hash_map<Key, Value, Hasher, Equals>& b)
{
a.swap(b);
}
} // namespace std
/**** ended inlining basisu_containers.h ****/
#ifdef max
#undef max
#endif
#ifdef min
#undef min
#endif
#ifdef _WIN32
#define strcasecmp _stricmp
#endif
// Set to one to enable debug printf()'s when any errors occur, for development/debugging. Especially useful for WebGL development.
#ifndef BASISU_FORCE_DEVEL_MESSAGES
#define BASISU_FORCE_DEVEL_MESSAGES 0
#endif
#define BASISU_NOTE_UNUSED(x) (void)(x)
#define BASISU_ARRAY_SIZE(x) (sizeof(x) / sizeof(x[0]))
#define BASISU_NO_EQUALS_OR_COPY_CONSTRUCT(x) x(const x &) = delete; x& operator= (const x &) = delete;
#define BASISU_ASSUME(x) static_assert(x, #x);
#define BASISU_OFFSETOF(s, m) offsetof(s, m)
#define BASISU_STRINGIZE(x) #x
#define BASISU_STRINGIZE2(x) BASISU_STRINGIZE(x)
#if BASISU_FORCE_DEVEL_MESSAGES
#define BASISU_DEVEL_ERROR(...) do { basisu::debug_printf(__VA_ARGS__); } while(0)
#else
#define BASISU_DEVEL_ERROR(...)
#endif
namespace basisu
{
// Types/utilities
#ifdef _WIN32
const char BASISU_PATH_SEPERATOR_CHAR = '\\';
#else
const char BASISU_PATH_SEPERATOR_CHAR = '/';
#endif
typedef basisu::vector<uint8_t> uint8_vec;
typedef basisu::vector<int16_t> int16_vec;
typedef basisu::vector<uint16_t> uint16_vec;
typedef basisu::vector<uint32_t> uint_vec;
typedef basisu::vector<uint64_t> uint64_vec;
typedef basisu::vector<int> int_vec;
typedef basisu::vector<bool> bool_vec;
void enable_debug_printf(bool enabled);
void debug_printf(const char *pFmt, ...);
template <typename T> inline void clear_obj(T& obj) { memset(&obj, 0, sizeof(obj)); }
template <typename T0, typename T1> inline T0 lerp(T0 a, T0 b, T1 c) { return a + (b - a) * c; }
template <typename S> inline S maximum(S a, S b) { return (a > b) ? a : b; }
template <typename S> inline S maximum(S a, S b, S c) { return maximum(maximum(a, b), c); }
template <typename S> inline S maximum(S a, S b, S c, S d) { return maximum(maximum(maximum(a, b), c), d); }
template <typename S> inline S minimum(S a, S b) { return (a < b) ? a : b; }
template <typename S> inline S minimum(S a, S b, S c) { return minimum(minimum(a, b), c); }
template <typename S> inline S minimum(S a, S b, S c, S d) { return minimum(minimum(minimum(a, b), c), d); }
inline float clampf(float value, float low, float high) { if (value < low) value = low; else if (value > high) value = high; return value; }
inline float saturate(float value) { return clampf(value, 0, 1.0f); }
inline uint8_t minimumub(uint8_t a, uint8_t b) { return (a < b) ? a : b; }
inline uint32_t minimumu(uint32_t a, uint32_t b) { return (a < b) ? a : b; }
inline int32_t minimumi(int32_t a, int32_t b) { return (a < b) ? a : b; }
inline float minimumf(float a, float b) { return (a < b) ? a : b; }
inline uint8_t maximumub(uint8_t a, uint8_t b) { return (a > b) ? a : b; }
inline uint32_t maximumu(uint32_t a, uint32_t b) { return (a > b) ? a : b; }
inline int32_t maximumi(int32_t a, int32_t b) { return (a > b) ? a : b; }
inline float maximumf(float a, float b) { return (a > b) ? a : b; }
inline int squarei(int i) { return i * i; }
inline float squaref(float i) { return i * i; }
template<typename T> inline T square(T a) { return a * a; }
template <typename S> inline S clamp(S value, S low, S high) { return (value < low) ? low : ((value > high) ? high : value); }
inline uint32_t iabs(int32_t i) { return (i < 0) ? static_cast<uint32_t>(-i) : static_cast<uint32_t>(i); }
inline uint64_t iabs64(int64_t i) { return (i < 0) ? static_cast<uint64_t>(-i) : static_cast<uint64_t>(i); }
template<typename T> inline void clear_vector(T &vec) { vec.erase(vec.begin(), vec.end()); }
template<typename T> inline typename T::value_type *enlarge_vector(T &vec, size_t n) { size_t cs = vec.size(); vec.resize(cs + n); return &vec[cs]; }
inline bool is_pow2(uint32_t x) { return x && ((x & (x - 1U)) == 0U); }
inline bool is_pow2(uint64_t x) { return x && ((x & (x - 1U)) == 0U); }
template<typename T> inline T open_range_check(T v, T minv, T maxv) { assert(v >= minv && v < maxv); BASISU_NOTE_UNUSED(minv); BASISU_NOTE_UNUSED(maxv); return v; }
template<typename T> inline T open_range_check(T v, T maxv) { assert(v < maxv); BASISU_NOTE_UNUSED(maxv); return v; }
inline uint32_t total_bits(uint32_t v) { uint32_t l = 0; for ( ; v > 0U; ++l) v >>= 1; return l; }
template<typename T> inline T saturate(T val) { return clamp(val, 0.0f, 1.0f); }
template<typename T, typename R> inline void append_vector(T &vec, const R *pObjs, size_t n)
{
if (n)
{
if (vec.size())
{
assert((pObjs + n) <= vec.begin() || (pObjs >= vec.end()));
}
const size_t cur_s = vec.size();
vec.resize(cur_s + n);
memcpy(&vec[cur_s], pObjs, sizeof(R) * n);
}
}
template<typename T> inline void append_vector(T &vec, const T &other_vec)
{
assert(&vec != &other_vec);
if (other_vec.size())
append_vector(vec, &other_vec[0], other_vec.size());
}
template<typename T> inline void vector_ensure_element_is_valid(T &vec, size_t idx)
{
if (idx >= vec.size())
vec.resize(idx + 1);
}
template<typename T> inline void vector_sort(T &vec)
{
if (vec.size())
std::sort(vec.begin(), vec.end());
}
template<typename T, typename U> inline bool unordered_set_contains(T& set, const U&obj)
{
return set.find(obj) != set.end();
}
template<typename T> int vector_find(const T &vec, const typename T::value_type &obj)
{
assert(vec.size() <= INT_MAX);
for (size_t i = 0; i < vec.size(); i++)
if (vec[i] == obj)
return static_cast<int>(i);
return -1;
}
template<typename T> void vector_set_all(T &vec, const typename T::value_type &obj)
{
for (size_t i = 0; i < vec.size(); i++)
vec[i] = obj;
}
inline uint64_t read_be64(const void *p)
{
uint64_t val = 0;
for (uint32_t i = 0; i < 8; i++)
val |= (static_cast<uint64_t>(static_cast<const uint8_t *>(p)[7 - i]) << (i * 8));
return val;
}
inline void write_be64(void *p, uint64_t x)
{
for (uint32_t i = 0; i < 8; i++)
static_cast<uint8_t *>(p)[7 - i] = static_cast<uint8_t>(x >> (i * 8));
}
static inline uint16_t byteswap16(uint16_t x) { return static_cast<uint16_t>((x << 8) | (x >> 8)); }
static inline uint32_t byteswap32(uint32_t x) { return ((x << 24) | ((x << 8) & 0x00FF0000) | ((x >> 8) & 0x0000FF00) | (x >> 24)); }
inline uint32_t floor_log2i(uint32_t v)
{
uint32_t b = 0;
for (; v > 1U; ++b)
v >>= 1;
return b;
}
inline uint32_t ceil_log2i(uint32_t v)
{
uint32_t b = floor_log2i(v);
if ((b != 32) && (v > (1U << b)))
++b;
return b;
}
inline int posmod(int x, int y)
{
if (x >= 0)
return (x < y) ? x : (x % y);
int m = (-x) % y;
return (m != 0) ? (y - m) : m;
}
inline bool do_excl_ranges_overlap(int la, int ha, int lb, int hb)
{
assert(la < ha && lb < hb);
if ((ha <= lb) || (la >= hb)) return false;
return true;
}
static inline uint32_t read_le_dword(const uint8_t *pBytes)
{
return (pBytes[3] << 24U) | (pBytes[2] << 16U) | (pBytes[1] << 8U) | (pBytes[0]);
}
static inline void write_le_dword(uint8_t* pBytes, uint32_t val)
{
pBytes[0] = (uint8_t)val;
pBytes[1] = (uint8_t)(val >> 8U);
pBytes[2] = (uint8_t)(val >> 16U);
pBytes[3] = (uint8_t)(val >> 24U);
}
// Always little endian 1-8 byte unsigned int
template<uint32_t NumBytes>
struct packed_uint
{
uint8_t m_bytes[NumBytes];
inline packed_uint() { static_assert(NumBytes <= sizeof(uint64_t), "Invalid NumBytes"); }
inline packed_uint(uint64_t v) { *this = v; }
inline packed_uint(const packed_uint& other) { *this = other; }
inline packed_uint& operator= (uint64_t v)
{
for (uint32_t i = 0; i < NumBytes; i++)
m_bytes[i] = static_cast<uint8_t>(v >> (i * 8));
return *this;
}
inline packed_uint& operator= (const packed_uint& rhs)
{
memcpy(m_bytes, rhs.m_bytes, sizeof(m_bytes));
return *this;
}
inline operator uint32_t() const
{
switch (NumBytes)
{
case 1:
{
return m_bytes[0];
}
case 2:
{
return (m_bytes[1] << 8U) | m_bytes[0];
}
case 3:
{
return (m_bytes[2] << 16U) | (m_bytes[1] << 8U) | m_bytes[0];
}
case 4:
{
return read_le_dword(m_bytes);
}
case 5:
{
uint32_t l = read_le_dword(m_bytes);
uint32_t h = m_bytes[4];
return static_cast<uint64_t>(l) | (static_cast<uint64_t>(h) << 32U);
}
case 6:
{
uint32_t l = read_le_dword(m_bytes);
uint32_t h = (m_bytes[5] << 8U) | m_bytes[4];
return static_cast<uint64_t>(l) | (static_cast<uint64_t>(h) << 32U);
}
case 7:
{
uint32_t l = read_le_dword(m_bytes);
uint32_t h = (m_bytes[6] << 16U) | (m_bytes[5] << 8U) | m_bytes[4];
return static_cast<uint64_t>(l) | (static_cast<uint64_t>(h) << 32U);
}
case 8:
{
uint32_t l = read_le_dword(m_bytes);
uint32_t h = read_le_dword(m_bytes + 4);
return static_cast<uint64_t>(l) | (static_cast<uint64_t>(h) << 32U);
}
default:
{
assert(0);
return 0;
}
}
}
};
enum eZero { cZero };
enum eNoClamp { cNoClamp };
// Rice/Huffman entropy coding
// This is basically Deflate-style canonical Huffman, except we allow for a lot more symbols.
enum
{
cHuffmanMaxSupportedCodeSize = 16, cHuffmanMaxSupportedInternalCodeSize = 31,
cHuffmanFastLookupBits = 10,
cHuffmanMaxSymsLog2 = 14, cHuffmanMaxSyms = 1 << cHuffmanMaxSymsLog2,
// Small zero runs
cHuffmanSmallZeroRunSizeMin = 3, cHuffmanSmallZeroRunSizeMax = 10, cHuffmanSmallZeroRunExtraBits = 3,
// Big zero run
cHuffmanBigZeroRunSizeMin = 11, cHuffmanBigZeroRunSizeMax = 138, cHuffmanBigZeroRunExtraBits = 7,
// Small non-zero run
cHuffmanSmallRepeatSizeMin = 3, cHuffmanSmallRepeatSizeMax = 6, cHuffmanSmallRepeatExtraBits = 2,
// Big non-zero run
cHuffmanBigRepeatSizeMin = 7, cHuffmanBigRepeatSizeMax = 134, cHuffmanBigRepeatExtraBits = 7,
cHuffmanTotalCodelengthCodes = 21, cHuffmanSmallZeroRunCode = 17, cHuffmanBigZeroRunCode = 18, cHuffmanSmallRepeatCode = 19, cHuffmanBigRepeatCode = 20
};
static const uint8_t g_huffman_sorted_codelength_codes[] = { cHuffmanSmallZeroRunCode, cHuffmanBigZeroRunCode, cHuffmanSmallRepeatCode, cHuffmanBigRepeatCode, 0, 8, 7, 9, 6, 0xA, 5, 0xB, 4, 0xC, 3, 0xD, 2, 0xE, 1, 0xF, 0x10 };
const uint32_t cHuffmanTotalSortedCodelengthCodes = sizeof(g_huffman_sorted_codelength_codes) / sizeof(g_huffman_sorted_codelength_codes[0]);
// GPU texture formats
enum class texture_format
{
cInvalidTextureFormat = -1,
// Block-based formats
cETC1, // ETC1
cETC1S, // ETC1 (subset: diff colors only, no subblocks)
cETC2_RGB, // ETC2 color block (basisu doesn't support ETC2 planar/T/H modes - just basic ETC1)
cETC2_RGBA, // ETC2 EAC alpha block followed by ETC2 color block
cETC2_ALPHA, // ETC2 EAC alpha block
cBC1, // DXT1
cBC3, // DXT5 (BC4/DXT5A block followed by a BC1/DXT1 block)
cBC4, // DXT5A
cBC5, // 3DC/DXN (two BC4/DXT5A blocks)
cBC7,
cASTC4x4, // LDR only
cPVRTC1_4_RGB,
cPVRTC1_4_RGBA,
cATC_RGB,
cATC_RGBA_INTERPOLATED_ALPHA,
cFXT1_RGB,
cPVRTC2_4_RGBA,
cETC2_R11_EAC,
cETC2_RG11_EAC,
cUASTC4x4,
cBC1_NV,
cBC1_AMD,
// Uncompressed/raw pixels
cRGBA32,
cRGB565,
cBGR565,
cRGBA4444,
cABGR4444
};
inline uint32_t get_bytes_per_block(texture_format fmt)
{
switch (fmt)
{
case texture_format::cETC1:
case texture_format::cETC1S:
case texture_format::cETC2_RGB:
case texture_format::cETC2_ALPHA:
case texture_format::cBC1:
case texture_format::cBC1_NV:
case texture_format::cBC1_AMD:
case texture_format::cBC4:
case texture_format::cPVRTC1_4_RGB:
case texture_format::cPVRTC1_4_RGBA:
case texture_format::cATC_RGB:
case texture_format::cPVRTC2_4_RGBA:
case texture_format::cETC2_R11_EAC:
return 8;
case texture_format::cRGBA32:
return sizeof(uint32_t) * 16;
default:
break;
}
return 16;
}
inline uint32_t get_qwords_per_block(texture_format fmt)
{
return get_bytes_per_block(fmt) >> 3;
}
inline uint32_t get_block_width(texture_format fmt)
{
BASISU_NOTE_UNUSED(fmt);
switch (fmt)
{
case texture_format::cFXT1_RGB:
return 8;
default:
break;
}
return 4;
}
inline uint32_t get_block_height(texture_format fmt)
{
BASISU_NOTE_UNUSED(fmt);
return 4;
}
} // namespace basisu
/**** ended inlining basisu.h ****/
#define BASISD_znew (z = 36969 * (z & 65535) + (z >> 16))
namespace basisu
{
extern bool g_debug_printf;
}
namespace basist
{
// Low-level formats directly supported by the transcoder (other supported texture formats are combinations of these low-level block formats).
// You probably don't care about these enum's unless you are going pretty low-level and calling the transcoder to decode individual slices.
enum class block_format
{
cETC1, // ETC1S RGB
cETC2_RGBA, // full ETC2 EAC RGBA8 block
cBC1, // DXT1 RGB
cBC3, // BC4 block followed by a four color BC1 block
cBC4, // DXT5A (alpha block only)
cBC5, // two BC4 blocks
cPVRTC1_4_RGB, // opaque-only PVRTC1 4bpp
cPVRTC1_4_RGBA, // PVRTC1 4bpp RGBA
cBC7, // Full BC7 block, any mode
cBC7_M5_COLOR, // RGB BC7 mode 5 color (writes an opaque mode 5 block)
cBC7_M5_ALPHA, // alpha portion of BC7 mode 5 (cBC7_M5_COLOR output data must have been written to the output buffer first to set the mode/rot fields etc.)
cETC2_EAC_A8, // alpha block of ETC2 EAC (first 8 bytes of the 16-bit ETC2 EAC RGBA format)
cASTC_4x4, // ASTC 4x4 (either color-only or color+alpha). Note that the transcoder always currently assumes sRGB is not enabled when outputting ASTC
// data. If you use a sRGB ASTC format you'll get ~1 LSB of additional error, because of the different way ASTC decoders scale 8-bit endpoints to 16-bits during unpacking.
cATC_RGB,
cATC_RGBA_INTERPOLATED_ALPHA,
cFXT1_RGB, // Opaque-only, has oddball 8x4 pixel block size
cPVRTC2_4_RGB,
cPVRTC2_4_RGBA,
cETC2_EAC_R11,
cETC2_EAC_RG11,
cIndices, // Used internally: Write 16-bit endpoint and selector indices directly to output (output block must be at least 32-bits)
cRGB32, // Writes RGB components to 32bpp output pixels
cRGBA32, // Writes RGB255 components to 32bpp output pixels
cA32, // Writes alpha component to 32bpp output pixels
cRGB565,
cBGR565,
cRGBA4444_COLOR,
cRGBA4444_ALPHA,
cRGBA4444_COLOR_OPAQUE,
cRGBA4444,
cTotalBlockFormats
};
const int COLOR5_PAL0_PREV_HI = 9, COLOR5_PAL0_DELTA_LO = -9, COLOR5_PAL0_DELTA_HI = 31;
const int COLOR5_PAL1_PREV_HI = 21, COLOR5_PAL1_DELTA_LO = -21, COLOR5_PAL1_DELTA_HI = 21;
const int COLOR5_PAL2_PREV_HI = 31, COLOR5_PAL2_DELTA_LO = -31, COLOR5_PAL2_DELTA_HI = 9;
const int COLOR5_PAL_MIN_DELTA_B_RUNLEN = 3, COLOR5_PAL_DELTA_5_RUNLEN_VLC_BITS = 3;
const uint32_t ENDPOINT_PRED_TOTAL_SYMBOLS = (4 * 4 * 4 * 4) + 1;
const uint32_t ENDPOINT_PRED_REPEAT_LAST_SYMBOL = ENDPOINT_PRED_TOTAL_SYMBOLS - 1;
const uint32_t ENDPOINT_PRED_MIN_REPEAT_COUNT = 3;
const uint32_t ENDPOINT_PRED_COUNT_VLC_BITS = 4;
const uint32_t NUM_ENDPOINT_PREDS = 3;// BASISU_ARRAY_SIZE(g_endpoint_preds);
const uint32_t CR_ENDPOINT_PRED_INDEX = NUM_ENDPOINT_PREDS - 1;
const uint32_t NO_ENDPOINT_PRED_INDEX = 3;//NUM_ENDPOINT_PREDS;
const uint32_t MAX_SELECTOR_HISTORY_BUF_SIZE = 64;
const uint32_t SELECTOR_HISTORY_BUF_RLE_COUNT_THRESH = 3;
const uint32_t SELECTOR_HISTORY_BUF_RLE_COUNT_BITS = 6;
const uint32_t SELECTOR_HISTORY_BUF_RLE_COUNT_TOTAL = (1 << SELECTOR_HISTORY_BUF_RLE_COUNT_BITS);
uint16_t crc16(const void *r, size_t size, uint16_t crc);
class huffman_decoding_table
{
friend class bitwise_decoder;
public:
huffman_decoding_table()
{
}
void clear()
{
basisu::clear_vector(m_code_sizes);
basisu::clear_vector(m_lookup);
basisu::clear_vector(m_tree);
}
bool init(uint32_t total_syms, const uint8_t *pCode_sizes, uint32_t fast_lookup_bits = basisu::cHuffmanFastLookupBits)
{
if (!total_syms)
{
clear();
return true;
}
m_code_sizes.resize(total_syms);
memcpy(&m_code_sizes[0], pCode_sizes, total_syms);
const uint32_t huffman_fast_lookup_size = 1 << fast_lookup_bits;
m_lookup.resize(0);
m_lookup.resize(huffman_fast_lookup_size);
m_tree.resize(0);
m_tree.resize(total_syms * 2);
uint32_t syms_using_codesize[basisu::cHuffmanMaxSupportedInternalCodeSize + 1];
basisu::clear_obj(syms_using_codesize);
for (uint32_t i = 0; i < total_syms; i++)
{
if (pCode_sizes[i] > basisu::cHuffmanMaxSupportedInternalCodeSize)
return false;
syms_using_codesize[pCode_sizes[i]]++;
}
uint32_t next_code[basisu::cHuffmanMaxSupportedInternalCodeSize + 1];
next_code[0] = next_code[1] = 0;
uint32_t used_syms = 0, total = 0;
for (uint32_t i = 1; i < basisu::cHuffmanMaxSupportedInternalCodeSize; i++)
{
used_syms += syms_using_codesize[i];
next_code[i + 1] = (total = ((total + syms_using_codesize[i]) << 1));
}
if (((1U << basisu::cHuffmanMaxSupportedInternalCodeSize) != total) && (used_syms > 1U))
return false;
for (int tree_next = -1, sym_index = 0; sym_index < (int)total_syms; ++sym_index)
{
uint32_t rev_code = 0, l, cur_code, code_size = pCode_sizes[sym_index];
if (!code_size)
continue;
cur_code = next_code[code_size]++;
for (l = code_size; l > 0; l--, cur_code >>= 1)
rev_code = (rev_code << 1) | (cur_code & 1);
if (code_size <= fast_lookup_bits)
{
uint32_t k = (code_size << 16) | sym_index;
while (rev_code < huffman_fast_lookup_size)
{
if (m_lookup[rev_code] != 0)
{
// Supplied codesizes can't create a valid prefix code.
return false;
}
m_lookup[rev_code] = k;
rev_code += (1 << code_size);
}
continue;
}
int tree_cur;
if (0 == (tree_cur = m_lookup[rev_code & (huffman_fast_lookup_size - 1)]))
{
const uint32_t idx = rev_code & (huffman_fast_lookup_size - 1);
if (m_lookup[idx] != 0)
{
// Supplied codesizes can't create a valid prefix code.
return false;
}
m_lookup[idx] = tree_next;
tree_cur = tree_next;
tree_next -= 2;
}
if (tree_cur >= 0)
{
// Supplied codesizes can't create a valid prefix code.
return false;
}
rev_code >>= (fast_lookup_bits - 1);
for (int j = code_size; j > ((int)fast_lookup_bits + 1); j--)
{
tree_cur -= ((rev_code >>= 1) & 1);
const int idx = -tree_cur - 1;
if (idx < 0)
return false;
else if (idx >= (int)m_tree.size())
m_tree.resize(idx + 1);
if (!m_tree[idx])
{
m_tree[idx] = (int16_t)tree_next;
tree_cur = tree_next;
tree_next -= 2;
}
else
{
tree_cur = m_tree[idx];
if (tree_cur >= 0)
{
// Supplied codesizes can't create a valid prefix code.
return false;
}
}
}
tree_cur -= ((rev_code >>= 1) & 1);
const int idx = -tree_cur - 1;
if (idx < 0)
return false;
else if (idx >= (int)m_tree.size())
m_tree.resize(idx + 1);
if (m_tree[idx] != 0)
{
// Supplied codesizes can't create a valid prefix code.
return false;
}
m_tree[idx] = (int16_t)sym_index;
}
return true;
}
const basisu::uint8_vec &get_code_sizes() const { return m_code_sizes; }
const basisu::int_vec get_lookup() const { return m_lookup; }
const basisu::int16_vec get_tree() const { return m_tree; }
bool is_valid() const { return m_code_sizes.size() > 0; }
private:
basisu::uint8_vec m_code_sizes;
basisu::int_vec m_lookup;
basisu::int16_vec m_tree;
};
class bitwise_decoder
{
public:
bitwise_decoder() :
m_buf_size(0),
m_pBuf(nullptr),
m_pBuf_start(nullptr),
m_pBuf_end(nullptr),
m_bit_buf(0),
m_bit_buf_size(0)
{
}
void clear()
{
m_buf_size = 0;
m_pBuf = nullptr;
m_pBuf_start = nullptr;
m_pBuf_end = nullptr;
m_bit_buf = 0;
m_bit_buf_size = 0;
}
bool init(const uint8_t *pBuf, uint32_t buf_size)
{
if ((!pBuf) && (buf_size))
return false;
m_buf_size = buf_size;
m_pBuf = pBuf;
m_pBuf_start = pBuf;
m_pBuf_end = pBuf + buf_size;
m_bit_buf = 0;
m_bit_buf_size = 0;
return true;
}
void stop()
{
}
inline uint32_t peek_bits(uint32_t num_bits)
{
if (!num_bits)
return 0;
assert(num_bits <= 25);
while (m_bit_buf_size < num_bits)
{
uint32_t c = 0;
if (m_pBuf < m_pBuf_end)
c = *m_pBuf++;
m_bit_buf |= (c << m_bit_buf_size);
m_bit_buf_size += 8;
assert(m_bit_buf_size <= 32);
}
return m_bit_buf & ((1 << num_bits) - 1);
}
void remove_bits(uint32_t num_bits)
{
assert(m_bit_buf_size >= num_bits);
m_bit_buf >>= num_bits;
m_bit_buf_size -= num_bits;
}
uint32_t get_bits(uint32_t num_bits)
{
if (num_bits > 25)
{
assert(num_bits <= 32);
const uint32_t bits0 = peek_bits(25);
m_bit_buf >>= 25;
m_bit_buf_size -= 25;
num_bits -= 25;
const uint32_t bits = peek_bits(num_bits);
m_bit_buf >>= num_bits;
m_bit_buf_size -= num_bits;
return bits0 | (bits << 25);
}
const uint32_t bits = peek_bits(num_bits);
m_bit_buf >>= num_bits;
m_bit_buf_size -= num_bits;
return bits;
}
uint32_t decode_truncated_binary(uint32_t n)
{
assert(n >= 2);
const uint32_t k = basisu::floor_log2i(n);
const uint32_t u = (1 << (k + 1)) - n;
uint32_t result = get_bits(k);
if (result >= u)
result = ((result << 1) | get_bits(1)) - u;
return result;
}
uint32_t decode_rice(uint32_t m)
{
assert(m);
uint32_t q = 0;
for (;;)
{
uint32_t k = peek_bits(16);
uint32_t l = 0;
while (k & 1)
{
l++;
k >>= 1;
}
q += l;
remove_bits(l);
if (l < 16)
break;
}
return (q << m) + (get_bits(m + 1) >> 1);
}
inline uint32_t decode_vlc(uint32_t chunk_bits)
{
assert(chunk_bits);
const uint32_t chunk_size = 1 << chunk_bits;
const uint32_t chunk_mask = chunk_size - 1;
uint32_t v = 0;
uint32_t ofs = 0;
for ( ; ; )
{
uint32_t s = get_bits(chunk_bits + 1);
v |= ((s & chunk_mask) << ofs);
ofs += chunk_bits;
if ((s & chunk_size) == 0)
break;
if (ofs >= 32)
{
assert(0);
break;
}
}
return v;
}
inline uint32_t decode_huffman(const huffman_decoding_table &ct, int fast_lookup_bits = basisu::cHuffmanFastLookupBits)
{
assert(ct.m_code_sizes.size());
const uint32_t huffman_fast_lookup_size = 1 << fast_lookup_bits;
while (m_bit_buf_size < 16)
{
uint32_t c = 0;
if (m_pBuf < m_pBuf_end)
c = *m_pBuf++;
m_bit_buf |= (c << m_bit_buf_size);
m_bit_buf_size += 8;
assert(m_bit_buf_size <= 32);
}
int code_len;
int sym;
if ((sym = ct.m_lookup[m_bit_buf & (huffman_fast_lookup_size - 1)]) >= 0)
{
code_len = sym >> 16;
sym &= 0xFFFF;
}
else
{
code_len = fast_lookup_bits;
do
{
sym = ct.m_tree[~sym + ((m_bit_buf >> code_len++) & 1)]; // ~sym = -sym - 1
} while (sym < 0);
}
m_bit_buf >>= code_len;
m_bit_buf_size -= code_len;
return sym;
}
bool read_huffman_table(huffman_decoding_table &ct)
{
ct.clear();
const uint32_t total_used_syms = get_bits(basisu::cHuffmanMaxSymsLog2);
if (!total_used_syms)
return true;
if (total_used_syms > basisu::cHuffmanMaxSyms)
return false;
uint8_t code_length_code_sizes[basisu::cHuffmanTotalCodelengthCodes];
basisu::clear_obj(code_length_code_sizes);
const uint32_t num_codelength_codes = get_bits(5);
if ((num_codelength_codes < 1) || (num_codelength_codes > basisu::cHuffmanTotalCodelengthCodes))
return false;
for (uint32_t i = 0; i < num_codelength_codes; i++)
code_length_code_sizes[basisu::g_huffman_sorted_codelength_codes[i]] = static_cast<uint8_t>(get_bits(3));
huffman_decoding_table code_length_table;
if (!code_length_table.init(basisu::cHuffmanTotalCodelengthCodes, code_length_code_sizes))
return false;
if (!code_length_table.is_valid())
return false;
basisu::uint8_vec code_sizes(total_used_syms);
uint32_t cur = 0;
while (cur < total_used_syms)
{
int c = decode_huffman(code_length_table);
if (c <= 16)
code_sizes[cur++] = static_cast<uint8_t>(c);
else if (c == basisu::cHuffmanSmallZeroRunCode)
cur += get_bits(basisu::cHuffmanSmallZeroRunExtraBits) + basisu::cHuffmanSmallZeroRunSizeMin;
else if (c == basisu::cHuffmanBigZeroRunCode)
cur += get_bits(basisu::cHuffmanBigZeroRunExtraBits) + basisu::cHuffmanBigZeroRunSizeMin;
else
{
if (!cur)
return false;
uint32_t l;
if (c == basisu::cHuffmanSmallRepeatCode)
l = get_bits(basisu::cHuffmanSmallRepeatExtraBits) + basisu::cHuffmanSmallRepeatSizeMin;
else
l = get_bits(basisu::cHuffmanBigRepeatExtraBits) + basisu::cHuffmanBigRepeatSizeMin;
const uint8_t prev = code_sizes[cur - 1];
if (prev == 0)
return false;
do
{
if (cur >= total_used_syms)
return false;
code_sizes[cur++] = prev;
} while (--l > 0);
}
}
if (cur != total_used_syms)
return false;
return ct.init(total_used_syms, &code_sizes[0]);
}
private:
uint32_t m_buf_size;
const uint8_t *m_pBuf;
const uint8_t *m_pBuf_start;
const uint8_t *m_pBuf_end;
uint32_t m_bit_buf;
uint32_t m_bit_buf_size;
};
inline uint32_t basisd_rand(uint32_t seed)
{
if (!seed)
seed++;
uint32_t z = seed;
BASISD_znew;
return z;
}
// Returns random number in [0,limit). Max limit is 0xFFFF.
inline uint32_t basisd_urand(uint32_t& seed, uint32_t limit)
{
seed = basisd_rand(seed);
return (((seed ^ (seed >> 16)) & 0xFFFF) * limit) >> 16;
}
class approx_move_to_front
{
public:
approx_move_to_front(uint32_t n)
{
init(n);
}
void init(uint32_t n)
{
m_values.resize(n);
m_rover = n / 2;
}
const basisu::int_vec& get_values() const { return m_values; }
basisu::int_vec& get_values() { return m_values; }
uint32_t size() const { return (uint32_t)m_values.size(); }
const int& operator[] (uint32_t index) const { return m_values[index]; }
int operator[] (uint32_t index) { return m_values[index]; }
void add(int new_value)
{
m_values[m_rover++] = new_value;
if (m_rover == m_values.size())
m_rover = (uint32_t)m_values.size() / 2;
}
void use(uint32_t index)
{
if (index)
{
//std::swap(m_values[index / 2], m_values[index]);
int x = m_values[index / 2];
int y = m_values[index];
m_values[index / 2] = y;
m_values[index] = x;
}
}
// returns -1 if not found
int find(int value) const
{
for (uint32_t i = 0; i < m_values.size(); i++)
if (m_values[i] == value)
return i;
return -1;
}
void reset()
{
const uint32_t n = (uint32_t)m_values.size();
m_values.clear();
init(n);
}
private:
basisu::int_vec m_values;
uint32_t m_rover;
};
struct decoder_etc_block;
inline uint8_t clamp255(int32_t i)
{
return (uint8_t)((i & 0xFFFFFF00U) ? (~(i >> 31)) : i);
}
enum eNoClamp
{
cNoClamp = 0
};
struct color32
{
union
{
struct
{
uint8_t r;
uint8_t g;
uint8_t b;
uint8_t a;
};
uint8_t c[4];
uint32_t m;
};
color32() { }
color32(uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { set(vr, vg, vb, va); }
color32(eNoClamp unused, uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { (void)unused; set_noclamp_rgba(vr, vg, vb, va); }
void set(uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { c[0] = static_cast<uint8_t>(vr); c[1] = static_cast<uint8_t>(vg); c[2] = static_cast<uint8_t>(vb); c[3] = static_cast<uint8_t>(va); }
void set_noclamp_rgb(uint32_t vr, uint32_t vg, uint32_t vb) { c[0] = static_cast<uint8_t>(vr); c[1] = static_cast<uint8_t>(vg); c[2] = static_cast<uint8_t>(vb); }
void set_noclamp_rgba(uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { set(vr, vg, vb, va); }
void set_clamped(int vr, int vg, int vb, int va) { c[0] = clamp255(vr); c[1] = clamp255(vg); c[2] = clamp255(vb); c[3] = clamp255(va); }
uint8_t operator[] (uint32_t idx) const { assert(idx < 4); return c[idx]; }
uint8_t &operator[] (uint32_t idx) { assert(idx < 4); return c[idx]; }
bool operator== (const color32&rhs) const { return m == rhs.m; }
static color32 comp_min(const color32& a, const color32& b) { return color32(cNoClamp, basisu::minimum(a[0], b[0]), basisu::minimum(a[1], b[1]), basisu::minimum(a[2], b[2]), basisu::minimum(a[3], b[3])); }
static color32 comp_max(const color32& a, const color32& b) { return color32(cNoClamp, basisu::maximum(a[0], b[0]), basisu::maximum(a[1], b[1]), basisu::maximum(a[2], b[2]), basisu::maximum(a[3], b[3])); }
};
struct endpoint
{
color32 m_color5;
uint8_t m_inten5;
bool operator== (const endpoint& rhs) const
{
return (m_color5.r == rhs.m_color5.r) && (m_color5.g == rhs.m_color5.g) && (m_color5.b == rhs.m_color5.b) && (m_inten5 == rhs.m_inten5);
}
bool operator!= (const endpoint& rhs) const { return !(*this == rhs); }
};
struct selector
{
// Plain selectors (2-bits per value)
uint8_t m_selectors[4];
// ETC1 selectors
uint8_t m_bytes[4];
uint8_t m_lo_selector, m_hi_selector;
uint8_t m_num_unique_selectors;
bool operator== (const selector& rhs) const
{
return (m_selectors[0] == rhs.m_selectors[0]) &&
(m_selectors[1] == rhs.m_selectors[1]) &&
(m_selectors[2] == rhs.m_selectors[2]) &&
(m_selectors[3] == rhs.m_selectors[3]);
}
bool operator!= (const selector& rhs) const
{
return !(*this == rhs);
}
void init_flags()
{
uint32_t hist[4] = { 0, 0, 0, 0 };
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = get_selector(x, y);
hist[s]++;
}
}
m_lo_selector = 3;
m_hi_selector = 0;
m_num_unique_selectors = 0;
for (uint32_t i = 0; i < 4; i++)
{
if (hist[i])
{
m_num_unique_selectors++;
if (i < m_lo_selector) m_lo_selector = static_cast<uint8_t>(i);
if (i > m_hi_selector) m_hi_selector = static_cast<uint8_t>(i);
}
}
}
// Returned selector value ranges from 0-3 and is a direct index into g_etc1_inten_tables.
inline uint32_t get_selector(uint32_t x, uint32_t y) const
{
assert((x < 4) && (y < 4));
return (m_selectors[y] >> (x * 2)) & 3;
}
void set_selector(uint32_t x, uint32_t y, uint32_t val)
{
static const uint8_t s_selector_index_to_etc1[4] = { 3, 2, 0, 1 };
assert((x | y | val) < 4);
m_selectors[y] &= ~(3 << (x * 2));
m_selectors[y] |= (val << (x * 2));
const uint32_t etc1_bit_index = x * 4 + y;
uint8_t *p = &m_bytes[3 - (etc1_bit_index >> 3)];
const uint32_t byte_bit_ofs = etc1_bit_index & 7;
const uint32_t mask = 1 << byte_bit_ofs;
const uint32_t etc1_val = s_selector_index_to_etc1[val];
const uint32_t lsb = etc1_val & 1;
const uint32_t msb = etc1_val >> 1;
p[0] &= ~mask;
p[0] |= (lsb << byte_bit_ofs);
p[-2] &= ~mask;
p[-2] |= (msb << byte_bit_ofs);
}
};
bool basis_block_format_is_uncompressed(block_format tex_type);
} // namespace basist
/**** ended inlining basisu_transcoder_internal.h ****/
/**** start inlining basisu_transcoder_uastc.h ****/
// basisu_transcoder_uastc.h
/**** skipping file: basisu_transcoder_internal.h ****/
namespace basist
{
struct color_quad_u8
{
uint8_t m_c[4];
};
const uint32_t TOTAL_UASTC_MODES = 19;
const uint32_t UASTC_MODE_INDEX_SOLID_COLOR = 8;
const uint32_t TOTAL_ASTC_BC7_COMMON_PARTITIONS2 = 30;
const uint32_t TOTAL_ASTC_BC7_COMMON_PARTITIONS3 = 11;
const uint32_t TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS = 19;
extern const uint8_t g_uastc_mode_weight_bits[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_weight_ranges[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_endpoint_ranges[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_subsets[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_planes[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_comps[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_has_etc1_bias[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_has_bc1_hint0[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_has_bc1_hint1[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_has_alpha[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_is_la[TOTAL_UASTC_MODES];
struct astc_bc7_common_partition2_desc
{
uint8_t m_bc7;
uint16_t m_astc;
bool m_invert;
};
extern const astc_bc7_common_partition2_desc g_astc_bc7_common_partitions2[TOTAL_ASTC_BC7_COMMON_PARTITIONS2];
struct bc73_astc2_common_partition_desc
{
uint8_t m_bc73;
uint16_t m_astc2;
uint8_t k; // 0-5 - how to modify the BC7 3-subset pattern to match the ASTC pattern (LSB=invert)
};
extern const bc73_astc2_common_partition_desc g_bc7_3_astc2_common_partitions[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS];
struct astc_bc7_common_partition3_desc
{
uint8_t m_bc7;
uint16_t m_astc;
uint8_t m_astc_to_bc7_perm; // converts ASTC to BC7 partition using g_astc_bc7_partition_index_perm_tables[][]
};
extern const astc_bc7_common_partition3_desc g_astc_bc7_common_partitions3[TOTAL_ASTC_BC7_COMMON_PARTITIONS3];
extern const uint8_t g_astc_bc7_patterns2[TOTAL_ASTC_BC7_COMMON_PARTITIONS2][16];
extern const uint8_t g_astc_bc7_patterns3[TOTAL_ASTC_BC7_COMMON_PARTITIONS3][16];
extern const uint8_t g_bc7_3_astc2_patterns2[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS][16];
extern const uint8_t g_astc_bc7_pattern2_anchors[TOTAL_ASTC_BC7_COMMON_PARTITIONS2][3];
extern const uint8_t g_astc_bc7_pattern3_anchors[TOTAL_ASTC_BC7_COMMON_PARTITIONS3][3];
extern const uint8_t g_bc7_3_astc2_patterns2_anchors[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS][3];
extern const uint32_t g_uastc_mode_huff_codes[TOTAL_UASTC_MODES + 1][2];
extern const uint8_t g_astc_to_bc7_partition_index_perm_tables[6][3];
extern const uint8_t g_bc7_to_astc_partition_index_perm_tables[6][3]; // inverse of g_astc_to_bc7_partition_index_perm_tables
extern const uint8_t* s_uastc_to_bc1_weights[6];
uint32_t bc7_convert_partition_index_3_to_2(uint32_t p, uint32_t k);
inline uint32_t astc_interpolate(uint32_t l, uint32_t h, uint32_t w, bool srgb)
{
if (srgb)
{
l = (l << 8) | 0x80;
h = (h << 8) | 0x80;
}
else
{
l = (l << 8) | l;
h = (h << 8) | h;
}
uint32_t k = (l * (64 - w) + h * w + 32) >> 6;
return k >> 8;
}
struct astc_block_desc
{
int m_weight_range; // weight BISE range
int m_subsets; // number of ASTC partitions
int m_partition_seed; // partition pattern seed
int m_cem; // color endpoint mode used by all subsets
int m_ccs; // color component selector (dual plane only)
bool m_dual_plane; // true if dual plane
// Weight and endpoint BISE values.
// Note these values are NOT linear, they must be BISE encoded. See Table 97 and Table 107.
uint8_t m_endpoints[18]; // endpoint values, in RR GG BB etc. order
uint8_t m_weights[64]; // weight index values, raster order, in P0 P1, P0 P1, etc. or P0, P0, P0, P0, etc. order
};
const uint32_t BC7ENC_TOTAL_ASTC_RANGES = 21;
// See tables 81, 93, 18.13.Endpoint Unquantization
const uint32_t TOTAL_ASTC_RANGES = 21;
extern const int g_astc_bise_range_table[TOTAL_ASTC_RANGES][3];
struct astc_quant_bin
{
uint8_t m_unquant; // unquantized value
uint8_t m_index; // sorted index
};
extern astc_quant_bin g_astc_unquant[BC7ENC_TOTAL_ASTC_RANGES][256]; // [ASTC encoded endpoint index]
int astc_get_levels(int range);
bool astc_is_valid_endpoint_range(uint32_t range);
uint32_t unquant_astc_endpoint(uint32_t packed_bits, uint32_t packed_trits, uint32_t packed_quints, uint32_t range);
uint32_t unquant_astc_endpoint_val(uint32_t packed_val, uint32_t range);
const uint8_t* get_anchor_indices(uint32_t subsets, uint32_t mode, uint32_t common_pattern, const uint8_t*& pPartition_pattern);
// BC7
const uint32_t BC7ENC_BLOCK_SIZE = 16;
struct bc7_block
{
uint64_t m_qwords[2];
};
struct bc7_optimization_results
{
uint32_t m_mode;
uint32_t m_partition;
uint8_t m_selectors[16];
uint8_t m_alpha_selectors[16];
color_quad_u8 m_low[3];
color_quad_u8 m_high[3];
uint32_t m_pbits[3][2];
uint32_t m_index_selector;
uint32_t m_rotation;
};
extern const uint32_t g_bc7_weights1[2];
extern const uint32_t g_bc7_weights2[4];
extern const uint32_t g_bc7_weights3[8];
extern const uint32_t g_bc7_weights4[16];
extern const uint32_t g_astc_weights4[16];
extern const uint32_t g_astc_weights5[32];
extern const uint32_t g_astc_weights_3levels[3];
extern const uint8_t g_bc7_partition1[16];
extern const uint8_t g_bc7_partition2[64 * 16];
extern const uint8_t g_bc7_partition3[64 * 16];
extern const uint8_t g_bc7_table_anchor_index_second_subset[64];
extern const uint8_t g_bc7_table_anchor_index_third_subset_1[64];
extern const uint8_t g_bc7_table_anchor_index_third_subset_2[64];
extern const uint8_t g_bc7_num_subsets[8];
extern const uint8_t g_bc7_partition_bits[8];
extern const uint8_t g_bc7_color_index_bitcount[8];
extern const uint8_t g_bc7_mode_has_p_bits[8];
extern const uint8_t g_bc7_mode_has_shared_p_bits[8];
extern const uint8_t g_bc7_color_precision_table[8];
extern const int8_t g_bc7_alpha_precision_table[8];
extern const uint8_t g_bc7_alpha_index_bitcount[8];
inline bool get_bc7_mode_has_seperate_alpha_selectors(int mode) { return (mode == 4) || (mode == 5); }
inline int get_bc7_color_index_size(int mode, int index_selection_bit) { return g_bc7_color_index_bitcount[mode] + index_selection_bit; }
inline int get_bc7_alpha_index_size(int mode, int index_selection_bit) { return g_bc7_alpha_index_bitcount[mode] - index_selection_bit; }
struct endpoint_err
{
uint16_t m_error; uint8_t m_lo; uint8_t m_hi;
};
extern endpoint_err g_bc7_mode_6_optimal_endpoints[256][2]; // [c][pbit]
const uint32_t BC7ENC_MODE_6_OPTIMAL_INDEX = 5;
extern endpoint_err g_bc7_mode_5_optimal_endpoints[256]; // [c]
const uint32_t BC7ENC_MODE_5_OPTIMAL_INDEX = 1;
// Packs a BC7 block from a high-level description. Handles all BC7 modes.
void encode_bc7_block(void* pBlock, const bc7_optimization_results* pResults);
// Packs an ASTC block
// Constraints: Always 4x4, all subset CEM's must be equal, only tested with LDR CEM's.
bool pack_astc_block(uint32_t* pDst, const astc_block_desc* pBlock, uint32_t mode);
void pack_astc_solid_block(void* pDst_block, const color32& color);
#ifdef _DEBUG
int astc_compute_texel_partition(int seed, int x, int y, int z, int partitioncount, bool small_block);
#endif
struct uastc_block
{
union
{
uint8_t m_bytes[16];
uint32_t m_dwords[4];
#ifndef __EMSCRIPTEN__
uint64_t m_qwords[2];
#endif
};
};
struct unpacked_uastc_block
{
astc_block_desc m_astc;
uint32_t m_mode;
uint32_t m_common_pattern;
color32 m_solid_color;
bool m_bc1_hint0;
bool m_bc1_hint1;
bool m_etc1_flip;
bool m_etc1_diff;
uint32_t m_etc1_inten0;
uint32_t m_etc1_inten1;
uint32_t m_etc1_bias;
uint32_t m_etc2_hints;
uint32_t m_etc1_selector;
uint32_t m_etc1_r, m_etc1_g, m_etc1_b;
};
color32 apply_etc1_bias(const color32 &block_color, uint32_t bias, uint32_t limit, uint32_t subblock);
struct decoder_etc_block;
struct eac_block;
bool unpack_uastc(uint32_t mode, uint32_t common_pattern, const color32& solid_color, const astc_block_desc& astc, color32* pPixels, bool srgb);
bool unpack_uastc(const unpacked_uastc_block& unpacked_blk, color32* pPixels, bool srgb);
bool unpack_uastc(const uastc_block& blk, color32* pPixels, bool srgb);
bool unpack_uastc(const uastc_block& blk, unpacked_uastc_block& unpacked, bool undo_blue_contract, bool read_hints = true);
bool transcode_uastc_to_astc(const uastc_block& src_blk, void* pDst);
bool transcode_uastc_to_bc7(const unpacked_uastc_block& unpacked_src_blk, bc7_optimization_results& dst_blk);
bool transcode_uastc_to_bc7(const uastc_block& src_blk, bc7_optimization_results& dst_blk);
bool transcode_uastc_to_bc7(const uastc_block& src_blk, void* pDst);
void transcode_uastc_to_etc1(unpacked_uastc_block& unpacked_src_blk, color32 block_pixels[4][4], void* pDst);
bool transcode_uastc_to_etc1(const uastc_block& src_blk, void* pDst);
bool transcode_uastc_to_etc1(const uastc_block& src_blk, void* pDst, uint32_t channel);
void transcode_uastc_to_etc2_eac_a8(unpacked_uastc_block& unpacked_src_blk, color32 block_pixels[4][4], void* pDst);
bool transcode_uastc_to_etc2_rgba(const uastc_block& src_blk, void* pDst);
// Packs 16 scalar values to BC4. Same PSNR as stb_dxt's BC4 encoder, around 13% faster.
void encode_bc4(void* pDst, const uint8_t* pPixels, uint32_t stride);
void encode_bc1_solid_block(void* pDst, uint32_t fr, uint32_t fg, uint32_t fb);
enum
{
cEncodeBC1HighQuality = 1,
cEncodeBC1HigherQuality = 2,
cEncodeBC1UseSelectors = 4,
};
void encode_bc1(void* pDst, const uint8_t* pPixels, uint32_t flags);
// Alternate PCA-free encoder, around 15% faster, same (or slightly higher) avg. PSNR
void encode_bc1_alt(void* pDst, const uint8_t* pPixels, uint32_t flags);
void transcode_uastc_to_bc1_hint0(const unpacked_uastc_block& unpacked_src_blk, void* pDst);
void transcode_uastc_to_bc1_hint1(const unpacked_uastc_block& unpacked_src_blk, const color32 block_pixels[4][4], void* pDst, bool high_quality);
bool transcode_uastc_to_bc1(const uastc_block& src_blk, void* pDst, bool high_quality);
bool transcode_uastc_to_bc3(const uastc_block& src_blk, void* pDst, bool high_quality);
bool transcode_uastc_to_bc4(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0);
bool transcode_uastc_to_bc5(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0, uint32_t chan1);
bool transcode_uastc_to_etc2_eac_r11(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0);
bool transcode_uastc_to_etc2_eac_rg11(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0, uint32_t chan1);
bool transcode_uastc_to_pvrtc1_4_rgb(const uastc_block* pSrc_blocks, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, bool high_quality, bool from_alpha);
bool transcode_uastc_to_pvrtc1_4_rgba(const uastc_block* pSrc_blocks, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, bool high_quality);
// uastc_init() MUST be called before using this module.
void uastc_init();
} // namespace basist
/**** ended inlining basisu_transcoder_uastc.h ****/
/**** start inlining basisu_file_headers.h ****/
// basis_file_headers.h
// Copyright (C) 2019-2020 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
/**** skipping file: basisu_transcoder_internal.h ****/
namespace basist
{
// Slice desc header flags
enum basis_slice_desc_flags
{
cSliceDescFlagsHasAlpha = 1,
// Video only: Frame doesn't refer to previous frame (no usage of conditional replenishment pred symbols)
// Currently the first frame is always an I-Frame, all subsequent frames are P-Frames. This will eventually be changed to periodic I-Frames.
cSliceDescFlagsFrameIsIFrame = 2
};
#pragma pack(push)
#pragma pack(1)
struct basis_slice_desc
{
basisu::packed_uint<3> m_image_index; // The index of the source image provided to the encoder (will always appear in order from first to last, first image index is 0, no skipping allowed)
basisu::packed_uint<1> m_level_index; // The mipmap level index (mipmaps will always appear from largest to smallest)
basisu::packed_uint<1> m_flags; // enum basis_slice_desc_flags
basisu::packed_uint<2> m_orig_width; // The original image width (may not be a multiple of 4 pixels)
basisu::packed_uint<2> m_orig_height; // The original image height (may not be a multiple of 4 pixels)
basisu::packed_uint<2> m_num_blocks_x; // The slice's block X dimensions. Each block is 4x4 pixels. The slice's pixel resolution may or may not be a power of 2.
basisu::packed_uint<2> m_num_blocks_y; // The slice's block Y dimensions.
basisu::packed_uint<4> m_file_ofs; // Offset from the start of the file to the start of the slice's data
basisu::packed_uint<4> m_file_size; // The size of the compressed slice data in bytes
basisu::packed_uint<2> m_slice_data_crc16; // The CRC16 of the compressed slice data, for extra-paranoid use cases
};
// File header files
enum basis_header_flags
{
// Always set for ETC1S files. Not set for UASTC files.
cBASISHeaderFlagETC1S = 1,
// Set if the texture had to be Y flipped before encoding. The actual interpretation of this (is Y up or down?) is up to the user.
cBASISHeaderFlagYFlipped = 2,
// Set if any slices contain alpha (for ETC1S, if the odd slices contain alpha data)
cBASISHeaderFlagHasAlphaSlices = 4,
// For ETC1S files, this will be true if the file utilizes a codebook from another .basis file.
cBASISHeaderFlagUsesGlobalCodebook = 8,
// Set if the texture data is sRGB, otherwise it's linear.
// In reality, we have no idea if the texture data is actually linear or sRGB. This is the m_perceptual parameter passed to the compressor.
cBASISHeaderFlagSRGB = 16,
};
// The image type field attempts to describe how to interpret the image data in a Basis file.
// The encoder library doesn't really do anything special or different with these texture types, this is mostly here for the benefit of the user.
// We do make sure the various constraints are followed (2DArray/cubemap/videoframes/volume implies that each image has the same resolution and # of mipmap levels, etc., cubemap implies that the # of image slices is a multiple of 6)
enum basis_texture_type
{
cBASISTexType2D = 0, // An arbitrary array of 2D RGB or RGBA images with optional mipmaps, array size = # images, each image may have a different resolution and # of mipmap levels
cBASISTexType2DArray = 1, // An array of 2D RGB or RGBA images with optional mipmaps, array size = # images, each image has the same resolution and mipmap levels
cBASISTexTypeCubemapArray = 2, // an array of cubemap levels, total # of images must be divisable by 6, in X+, X-, Y+, Y-, Z+, Z- order, with optional mipmaps
cBASISTexTypeVideoFrames = 3, // An array of 2D video frames, with optional mipmaps, # frames = # images, each image has the same resolution and # of mipmap levels
cBASISTexTypeVolume = 4, // A 3D texture with optional mipmaps, Z dimension = # images, each image has the same resolution and # of mipmap levels
cBASISTexTypeTotal
};
enum
{
cBASISMaxUSPerFrame = 0xFFFFFF
};
enum class basis_tex_format
{
cETC1S = 0,
cUASTC4x4 = 1
};
struct basis_file_header
{
enum
{
cBASISSigValue = ('B' << 8) | 's',
cBASISFirstVersion = 0x10
};
basisu::packed_uint<2> m_sig; // 2 byte file signature
basisu::packed_uint<2> m_ver; // Baseline file version
basisu::packed_uint<2> m_header_size; // Header size in bytes, sizeof(basis_file_header)
basisu::packed_uint<2> m_header_crc16; // CRC16 of the remaining header data
basisu::packed_uint<4> m_data_size; // The total size of all data after the header
basisu::packed_uint<2> m_data_crc16; // The CRC16 of all data after the header
basisu::packed_uint<3> m_total_slices; // The total # of compressed slices (1 slice per image, or 2 for alpha .basis files)
basisu::packed_uint<3> m_total_images; // The total # of images
basisu::packed_uint<1> m_tex_format; // enum basis_tex_format
basisu::packed_uint<2> m_flags; // enum basist::header_flags
basisu::packed_uint<1> m_tex_type; // enum basist::basis_texture_type
basisu::packed_uint<3> m_us_per_frame; // Framerate of video, in microseconds per frame
basisu::packed_uint<4> m_reserved; // For future use
basisu::packed_uint<4> m_userdata0; // For client use
basisu::packed_uint<4> m_userdata1; // For client use
basisu::packed_uint<2> m_total_endpoints; // The number of endpoints in the endpoint codebook
basisu::packed_uint<4> m_endpoint_cb_file_ofs; // The compressed endpoint codebook's file offset relative to the start of the file
basisu::packed_uint<3> m_endpoint_cb_file_size; // The compressed endpoint codebook's size in bytes
basisu::packed_uint<2> m_total_selectors; // The number of selectors in the endpoint codebook
basisu::packed_uint<4> m_selector_cb_file_ofs; // The compressed selectors codebook's file offset relative to the start of the file
basisu::packed_uint<3> m_selector_cb_file_size; // The compressed selector codebook's size in bytes
basisu::packed_uint<4> m_tables_file_ofs; // The file offset of the compressed Huffman codelength tables, for decompressing slices
basisu::packed_uint<4> m_tables_file_size; // The file size in bytes of the compressed huffman codelength tables
basisu::packed_uint<4> m_slice_desc_file_ofs; // The file offset to the slice description array, usually follows the header
basisu::packed_uint<4> m_extended_file_ofs; // The file offset of the "extended" header and compressed data, for future use
basisu::packed_uint<4> m_extended_file_size; // The file size in bytes of the "extended" header and compressed data, for future use
};
#pragma pack (pop)
} // namespace basist
/**** ended inlining basisu_file_headers.h ****/
namespace basist
{
// High-level composite texture formats supported by the transcoder.
// Each of these texture formats directly correspond to OpenGL/D3D/Vulkan etc. texture formats.
// Notes:
// - If you specify a texture format that supports alpha, but the .basis file doesn't have alpha, the transcoder will automatically output a
// fully opaque (255) alpha channel.
// - The PVRTC1 texture formats only support power of 2 dimension .basis files, but this may be relaxed in a future version.
// - The PVRTC1 transcoders are real-time encoders, so don't expect the highest quality. We may add a slower encoder with improved quality.
// - These enums must be kept in sync with Javascript code that calls the transcoder.
enum class transcoder_texture_format
{
// Compressed formats
// ETC1-2
cTFETC1_RGB = 0, // Opaque only, returns RGB or alpha data if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified
cTFETC2_RGBA = 1, // Opaque+alpha, ETC2_EAC_A8 block followed by a ETC1 block, alpha channel will be opaque for opaque .basis files
// BC1-5, BC7 (desktop, some mobile devices)
cTFBC1_RGB = 2, // Opaque only, no punchthrough alpha support yet, transcodes alpha slice if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified
cTFBC3_RGBA = 3, // Opaque+alpha, BC4 followed by a BC1 block, alpha channel will be opaque for opaque .basis files
cTFBC4_R = 4, // Red only, alpha slice is transcoded to output if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified
cTFBC5_RG = 5, // XY: Two BC4 blocks, X=R and Y=Alpha, .basis file should have alpha data (if not Y will be all 255's)
cTFBC7_RGBA = 6, // RGB or RGBA, mode 5 for ETC1S, modes (1,2,3,5,6,7) for UASTC
// PVRTC1 4bpp (mobile, PowerVR devices)
cTFPVRTC1_4_RGB = 8, // Opaque only, RGB or alpha if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified, nearly lowest quality of any texture format.
cTFPVRTC1_4_RGBA = 9, // Opaque+alpha, most useful for simple opacity maps. If .basis file doesn't have alpha cTFPVRTC1_4_RGB will be used instead. Lowest quality of any supported texture format.
// ASTC (mobile, Intel devices, hopefully all desktop GPU's one day)
cTFASTC_4x4_RGBA = 10, // Opaque+alpha, ASTC 4x4, alpha channel will be opaque for opaque .basis files. Transcoder uses RGB/RGBA/L/LA modes, void extent, and up to two ([0,47] and [0,255]) endpoint precisions.
// ATC (mobile, Adreno devices, this is a niche format)
cTFATC_RGB = 11, // Opaque, RGB or alpha if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified. ATI ATC (GL_ATC_RGB_AMD)
cTFATC_RGBA = 12, // Opaque+alpha, alpha channel will be opaque for opaque .basis files. ATI ATC (GL_ATC_RGBA_INTERPOLATED_ALPHA_AMD)
// FXT1 (desktop, Intel devices, this is a super obscure format)
cTFFXT1_RGB = 17, // Opaque only, uses exclusively CC_MIXED blocks. Notable for having a 8x4 block size. GL_3DFX_texture_compression_FXT1 is supported on Intel integrated GPU's (such as HD 630).
// Punch-through alpha is relatively easy to support, but full alpha is harder. This format is only here for completeness so opaque-only is fine for now.
// See the BASISU_USE_ORIGINAL_3DFX_FXT1_ENCODING macro in basisu_transcoder_internal.h.
cTFPVRTC2_4_RGB = 18, // Opaque-only, almost BC1 quality, much faster to transcode and supports arbitrary texture dimensions (unlike PVRTC1 RGB).
cTFPVRTC2_4_RGBA = 19, // Opaque+alpha, slower to encode than cTFPVRTC2_4_RGB. Premultiplied alpha is highly recommended, otherwise the color channel can leak into the alpha channel on transparent blocks.
cTFETC2_EAC_R11 = 20, // R only (ETC2 EAC R11 unsigned)
cTFETC2_EAC_RG11 = 21, // RG only (ETC2 EAC RG11 unsigned), R=opaque.r, G=alpha - for tangent space normal maps
// Uncompressed (raw pixel) formats
cTFRGBA32 = 13, // 32bpp RGBA image stored in raster (not block) order in memory, R is first byte, A is last byte.
cTFRGB565 = 14, // 16bpp RGB image stored in raster (not block) order in memory, R at bit position 11
cTFBGR565 = 15, // 16bpp RGB image stored in raster (not block) order in memory, R at bit position 0
cTFRGBA4444 = 16, // 16bpp RGBA image stored in raster (not block) order in memory, R at bit position 12, A at bit position 0
cTFTotalTextureFormats = 22,
// Old enums for compatibility with code compiled against previous versions
cTFETC1 = cTFETC1_RGB,
cTFETC2 = cTFETC2_RGBA,
cTFBC1 = cTFBC1_RGB,
cTFBC3 = cTFBC3_RGBA,
cTFBC4 = cTFBC4_R,
cTFBC5 = cTFBC5_RG,
// Previously, the caller had some control over which BC7 mode the transcoder output. We've simplified this due to UASTC, which supports numerous modes.
cTFBC7_M6_RGB = cTFBC7_RGBA, // Opaque only, RGB or alpha if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified. Highest quality of all the non-ETC1 formats.
cTFBC7_M5_RGBA = cTFBC7_RGBA, // Opaque+alpha, alpha channel will be opaque for opaque .basis files
cTFBC7_M6_OPAQUE_ONLY = cTFBC7_RGBA,
cTFBC7_M5 = cTFBC7_RGBA,
cTFBC7_ALT = 7,
cTFASTC_4x4 = cTFASTC_4x4_RGBA,
cTFATC_RGBA_INTERPOLATED_ALPHA = cTFATC_RGBA,
};
// For compressed texture formats, this returns the # of bytes per block. For uncompressed, it returns the # of bytes per pixel.
// NOTE: Previously, this function was called basis_get_bytes_per_block(), and it always returned 16*bytes_per_pixel for uncompressed formats which was confusing.
uint32_t basis_get_bytes_per_block_or_pixel(transcoder_texture_format fmt);
// Returns format's name in ASCII
const char* basis_get_format_name(transcoder_texture_format fmt);
// Returns block format name in ASCII
const char* basis_get_block_format_name(block_format fmt);
// Returns true if the format supports an alpha channel.
bool basis_transcoder_format_has_alpha(transcoder_texture_format fmt);
// Returns the basisu::texture_format corresponding to the specified transcoder_texture_format.
basisu::texture_format basis_get_basisu_texture_format(transcoder_texture_format fmt);
// Returns the texture type's name in ASCII.
const char* basis_get_texture_type_name(basis_texture_type tex_type);
// Returns true if the transcoder texture type is an uncompressed (raw pixel) format.
bool basis_transcoder_format_is_uncompressed(transcoder_texture_format tex_type);
// Returns the # of bytes per pixel for uncompressed formats, or 0 for block texture formats.
uint32_t basis_get_uncompressed_bytes_per_pixel(transcoder_texture_format fmt);
// Returns the block width for the specified texture format, which is currently either 4 or 8 for FXT1.
uint32_t basis_get_block_width(transcoder_texture_format tex_type);
// Returns the block height for the specified texture format, which is currently always 4.
uint32_t basis_get_block_height(transcoder_texture_format tex_type);
// Returns true if the specified format was enabled at compile time.
bool basis_is_format_supported(transcoder_texture_format tex_type, basis_tex_format fmt = basis_tex_format::cETC1S);
// Validates that the output buffer is large enough to hold the entire transcoded texture.
// For uncompressed texture formats, most input parameters are in pixels, not blocks. Blocks are 4x4 pixels.
bool basis_validate_output_buffer_size(transcoder_texture_format target_format,
uint32_t output_blocks_buf_size_in_blocks_or_pixels,
uint32_t orig_width, uint32_t orig_height,
uint32_t output_row_pitch_in_blocks_or_pixels,
uint32_t output_rows_in_pixels,
uint32_t total_slice_blocks);
class basisu_transcoder;
// This struct holds all state used during transcoding. For video, it needs to persist between image transcodes (it holds the previous frame).
// For threading you can use one state per thread.
struct basisu_transcoder_state
{
struct block_preds
{
uint16_t m_endpoint_index;
uint8_t m_pred_bits;
};
basisu::vector<block_preds> m_block_endpoint_preds[2];
enum { cMaxPrevFrameLevels = 16 };
basisu::vector<uint32_t> m_prev_frame_indices[2][cMaxPrevFrameLevels]; // [alpha_flag][level_index]
void clear()
{
for (uint32_t i = 0; i < 2; i++)
{
m_block_endpoint_preds[i].clear();
for (uint32_t j = 0; j < cMaxPrevFrameLevels; j++)
m_prev_frame_indices[i][j].clear();
}
}
};
// Low-level helper class that does the actual transcoding.
class basisu_lowlevel_etc1s_transcoder
{
friend class basisu_transcoder;
public:
basisu_lowlevel_etc1s_transcoder();
void set_global_codebooks(const basisu_lowlevel_etc1s_transcoder* pGlobal_codebook) { m_pGlobal_codebook = pGlobal_codebook; }
const basisu_lowlevel_etc1s_transcoder* get_global_codebooks() const { return m_pGlobal_codebook; }
bool decode_palettes(
uint32_t num_endpoints, const uint8_t* pEndpoints_data, uint32_t endpoints_data_size,
uint32_t num_selectors, const uint8_t* pSelectors_data, uint32_t selectors_data_size);
bool decode_tables(const uint8_t* pTable_data, uint32_t table_data_size);
bool transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const bool is_video, const bool is_alpha_slice, const uint32_t level_index, const uint32_t orig_width, const uint32_t orig_height, uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr, bool astc_transcode_alpha = false, void* pAlpha_blocks = nullptr, uint32_t output_rows_in_pixels = 0);
bool transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const basis_file_header& header, const basis_slice_desc& slice_desc, uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr, bool astc_transcode_alpha = false, void* pAlpha_blocks = nullptr, uint32_t output_rows_in_pixels = 0)
{
return transcode_slice(pDst_blocks, num_blocks_x, num_blocks_y, pImage_data, image_data_size, fmt, output_block_or_pixel_stride_in_bytes, bc1_allow_threecolor_blocks,
header.m_tex_type == cBASISTexTypeVideoFrames, (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0, slice_desc.m_level_index,
slice_desc.m_orig_width, slice_desc.m_orig_height, output_row_pitch_in_blocks_or_pixels, pState,
astc_transcode_alpha,
pAlpha_blocks,
output_rows_in_pixels);
}
// Container independent transcoding
bool transcode_image(
transcoder_texture_format target_format,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
const uint8_t* pCompressed_data, uint32_t compressed_data_length,
uint32_t num_blocks_x, uint32_t num_blocks_y, uint32_t orig_width, uint32_t orig_height, uint32_t level_index,
uint32_t rgb_offset, uint32_t rgb_length, uint32_t alpha_offset, uint32_t alpha_length,
uint32_t decode_flags = 0,
bool basis_file_has_alpha_slices = false,
bool is_video = false,
uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr,
uint32_t output_rows_in_pixels = 0);
void clear()
{
m_local_endpoints.clear();
m_local_selectors.clear();
m_endpoint_pred_model.clear();
m_delta_endpoint_model.clear();
m_selector_model.clear();
m_selector_history_buf_rle_model.clear();
m_selector_history_buf_size = 0;
}
// Low-level methods
typedef basisu::vector<endpoint> endpoint_vec;
const endpoint_vec& get_endpoints() const { return m_local_endpoints; }
typedef basisu::vector<selector> selector_vec;
const selector_vec& get_selectors() const { return m_local_selectors; }
private:
const basisu_lowlevel_etc1s_transcoder* m_pGlobal_codebook;
endpoint_vec m_local_endpoints;
selector_vec m_local_selectors;
huffman_decoding_table m_endpoint_pred_model, m_delta_endpoint_model, m_selector_model, m_selector_history_buf_rle_model;
uint32_t m_selector_history_buf_size;
basisu_transcoder_state m_def_state;
};
enum basisu_decode_flags
{
// PVRTC1: decode non-pow2 ETC1S texture level to the next larger power of 2 (not implemented yet, but we're going to support it). Ignored if the slice's dimensions are already a power of 2.
cDecodeFlagsPVRTCDecodeToNextPow2 = 2,
// When decoding to an opaque texture format, if the basis file has alpha, decode the alpha slice instead of the color slice to the output texture format.
// This is primarily to allow decoding of textures with alpha to multiple ETC1 textures (one for color, another for alpha).
cDecodeFlagsTranscodeAlphaDataToOpaqueFormats = 4,
// Forbid usage of BC1 3 color blocks (we don't support BC1 punchthrough alpha yet).
// This flag is used internally when decoding to BC3.
cDecodeFlagsBC1ForbidThreeColorBlocks = 8,
// The output buffer contains alpha endpoint/selector indices.
// Used internally when decoding formats like ASTC that require both color and alpha data to be available when transcoding to the output format.
cDecodeFlagsOutputHasAlphaIndices = 16,
cDecodeFlagsHighQuality = 32
};
class basisu_lowlevel_uastc_transcoder
{
friend class basisu_transcoder;
public:
basisu_lowlevel_uastc_transcoder();
bool transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, bool has_alpha, const uint32_t orig_width, const uint32_t orig_height, uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr, uint32_t output_rows_in_pixels = 0, int channel0 = -1, int channel1 = -1, uint32_t decode_flags = 0);
bool transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const basis_file_header& header, const basis_slice_desc& slice_desc, uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr, uint32_t output_rows_in_pixels = 0, int channel0 = -1, int channel1 = -1, uint32_t decode_flags = 0)
{
return transcode_slice(pDst_blocks, num_blocks_x, num_blocks_y, pImage_data, image_data_size, fmt,
output_block_or_pixel_stride_in_bytes, bc1_allow_threecolor_blocks, (header.m_flags & cBASISHeaderFlagHasAlphaSlices) != 0, slice_desc.m_orig_width, slice_desc.m_orig_height, output_row_pitch_in_blocks_or_pixels,
pState, output_rows_in_pixels, channel0, channel1, decode_flags);
}
// Container independent transcoding
bool transcode_image(
transcoder_texture_format target_format,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
const uint8_t* pCompressed_data, uint32_t compressed_data_length,
uint32_t num_blocks_x, uint32_t num_blocks_y, uint32_t orig_width, uint32_t orig_height, uint32_t level_index,
uint32_t slice_offset, uint32_t slice_length,
uint32_t decode_flags = 0,
bool has_alpha = false,
bool is_video = false,
uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr,
uint32_t output_rows_in_pixels = 0,
int channel0 = -1, int channel1 = -1);
};
struct basisu_slice_info
{
uint32_t m_orig_width;
uint32_t m_orig_height;
uint32_t m_width;
uint32_t m_height;
uint32_t m_num_blocks_x;
uint32_t m_num_blocks_y;
uint32_t m_total_blocks;
uint32_t m_compressed_size;
uint32_t m_slice_index; // the slice index in the .basis file
uint32_t m_image_index; // the source image index originally provided to the encoder
uint32_t m_level_index; // the mipmap level within this image
uint32_t m_unpacked_slice_crc16;
bool m_alpha_flag; // true if the slice has alpha data
bool m_iframe_flag; // true if the slice is an I-Frame
};
typedef basisu::vector<basisu_slice_info> basisu_slice_info_vec;
struct basisu_image_info
{
uint32_t m_image_index;
uint32_t m_total_levels;
uint32_t m_orig_width;
uint32_t m_orig_height;
uint32_t m_width;
uint32_t m_height;
uint32_t m_num_blocks_x;
uint32_t m_num_blocks_y;
uint32_t m_total_blocks;
uint32_t m_first_slice_index;
bool m_alpha_flag; // true if the image has alpha data
bool m_iframe_flag; // true if the image is an I-Frame
};
struct basisu_image_level_info
{
uint32_t m_image_index;
uint32_t m_level_index;
uint32_t m_orig_width;
uint32_t m_orig_height;
uint32_t m_width;
uint32_t m_height;
uint32_t m_num_blocks_x;
uint32_t m_num_blocks_y;
uint32_t m_total_blocks;
uint32_t m_first_slice_index;
uint32_t m_rgb_file_ofs;
uint32_t m_rgb_file_len;
uint32_t m_alpha_file_ofs;
uint32_t m_alpha_file_len;
bool m_alpha_flag; // true if the image has alpha data
bool m_iframe_flag; // true if the image is an I-Frame
};
struct basisu_file_info
{
uint32_t m_version;
uint32_t m_total_header_size;
uint32_t m_total_selectors;
// will be 0 for UASTC or if the file uses global codebooks
uint32_t m_selector_codebook_ofs;
uint32_t m_selector_codebook_size;
uint32_t m_total_endpoints;
// will be 0 for UASTC or if the file uses global codebooks
uint32_t m_endpoint_codebook_ofs;
uint32_t m_endpoint_codebook_size;
uint32_t m_tables_ofs;
uint32_t m_tables_size;
uint32_t m_slices_size;
basis_texture_type m_tex_type;
uint32_t m_us_per_frame;
// Low-level slice information (1 slice per image for color-only basis files, 2 for alpha basis files)
basisu_slice_info_vec m_slice_info;
uint32_t m_total_images; // total # of images
basisu::vector<uint32_t> m_image_mipmap_levels; // the # of mipmap levels for each image
uint32_t m_userdata0;
uint32_t m_userdata1;
basis_tex_format m_tex_format; // ETC1S, UASTC, etc.
bool m_y_flipped; // true if the image was Y flipped
bool m_etc1s; // true if the file is ETC1S
bool m_has_alpha_slices; // true if the texture has alpha slices (for ETC1S: even slices RGB, odd slices alpha)
};
// High-level transcoder class which accepts .basis file data and allows the caller to query information about the file and transcode image levels to various texture formats.
// If you're just starting out this is the class you care about.
class basisu_transcoder
{
basisu_transcoder(basisu_transcoder&);
basisu_transcoder& operator= (const basisu_transcoder&);
public:
basisu_transcoder();
// Validates the .basis file. This computes a crc16 over the entire file, so it's slow.
bool validate_file_checksums(const void* pData, uint32_t data_size, bool full_validation) const;
// Quick header validation - no crc16 checks.
bool validate_header(const void* pData, uint32_t data_size) const;
basis_texture_type get_texture_type(const void* pData, uint32_t data_size) const;
bool get_userdata(const void* pData, uint32_t data_size, uint32_t& userdata0, uint32_t& userdata1) const;
// Returns the total number of images in the basis file (always 1 or more).
// Note that the number of mipmap levels for each image may differ, and that images may have different resolutions.
uint32_t get_total_images(const void* pData, uint32_t data_size) const;
basis_tex_format get_tex_format(const void* pData, uint32_t data_size) const;
// Returns the number of mipmap levels in an image.
uint32_t get_total_image_levels(const void* pData, uint32_t data_size, uint32_t image_index) const;
// Returns basic information about an image. Note that orig_width/orig_height may not be a multiple of 4.
bool get_image_level_desc(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index, uint32_t& orig_width, uint32_t& orig_height, uint32_t& total_blocks) const;
// Returns information about the specified image.
bool get_image_info(const void* pData, uint32_t data_size, basisu_image_info& image_info, uint32_t image_index) const;
// Returns information about the specified image's mipmap level.
bool get_image_level_info(const void* pData, uint32_t data_size, basisu_image_level_info& level_info, uint32_t image_index, uint32_t level_index) const;
// Get a description of the basis file and low-level information about each slice.
bool get_file_info(const void* pData, uint32_t data_size, basisu_file_info& file_info) const;
// start_transcoding() must be called before calling transcode_slice() or transcode_image_level().
// For ETC1S files, this call decompresses the selector/endpoint codebooks, so ideally you would only call this once per .basis file (not each image/mipmap level).
bool start_transcoding(const void* pData, uint32_t data_size);
bool stop_transcoding();
// Returns true if start_transcoding() has been called.
bool get_ready_to_transcode() const { return m_ready_to_transcode; }
// transcode_image_level() decodes a single mipmap level from the .basis file to any of the supported output texture formats.
// It'll first find the slice(s) to transcode, then call transcode_slice() one or two times to decode both the color and alpha texture data (or RG texture data from two slices for BC5).
// If the .basis file doesn't have alpha slices, the output alpha blocks will be set to fully opaque (all 255's).
// Currently, to decode to PVRTC1 the basis texture's dimensions in pixels must be a power of 2, due to PVRTC1 format requirements.
// output_blocks_buf_size_in_blocks_or_pixels should be at least the image level's total_blocks (num_blocks_x * num_blocks_y), or the total number of output pixels if fmt==cTFRGBA32.
// output_row_pitch_in_blocks_or_pixels: Number of blocks or pixels per row. If 0, the transcoder uses the slice's num_blocks_x or orig_width (NOT num_blocks_x * 4). Ignored for PVRTC1 (due to texture swizzling).
// output_rows_in_pixels: Ignored unless fmt is uncompressed (cRGBA32, etc.). The total number of output rows in the output buffer. If 0, the transcoder assumes the slice's orig_height (NOT num_blocks_y * 4).
// Notes:
// - basisu_transcoder_init() must have been called first to initialize the transcoder lookup tables before calling this function.
// - This method assumes the output texture buffer is readable. In some cases to handle alpha, the transcoder will write temporary data to the output texture in
// a first pass, which will be read in a second pass.
bool transcode_image_level(
const void* pData, uint32_t data_size,
uint32_t image_index, uint32_t level_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
transcoder_texture_format fmt,
uint32_t decode_flags = 0, uint32_t output_row_pitch_in_blocks_or_pixels = 0, basisu_transcoder_state* pState = nullptr, uint32_t output_rows_in_pixels = 0) const;
// Finds the basis slice corresponding to the specified image/level/alpha params, or -1 if the slice can't be found.
int find_slice(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index, bool alpha_data) const;
// transcode_slice() decodes a single slice from the .basis file. It's a low-level API - most likely you want to use transcode_image_level().
// This is a low-level API, and will be needed to be called multiple times to decode some texture formats (like BC3, BC5, or ETC2).
// output_blocks_buf_size_in_blocks_or_pixels is just used for verification to make sure the output buffer is large enough.
// output_blocks_buf_size_in_blocks_or_pixels should be at least the image level's total_blocks (num_blocks_x * num_blocks_y), or the total number of output pixels if fmt==cTFRGBA32.
// output_block_stride_in_bytes: Number of bytes between each output block.
// output_row_pitch_in_blocks_or_pixels: Number of blocks or pixels per row. If 0, the transcoder uses the slice's num_blocks_x or orig_width (NOT num_blocks_x * 4). Ignored for PVRTC1 (due to texture swizzling).
// output_rows_in_pixels: Ignored unless fmt is cRGBA32. The total number of output rows in the output buffer. If 0, the transcoder assumes the slice's orig_height (NOT num_blocks_y * 4).
// Notes:
// - basisu_transcoder_init() must have been called first to initialize the transcoder lookup tables before calling this function.
bool transcode_slice(const void* pData, uint32_t data_size, uint32_t slice_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
block_format fmt, uint32_t output_block_stride_in_bytes, uint32_t decode_flags = 0, uint32_t output_row_pitch_in_blocks_or_pixels = 0, basisu_transcoder_state* pState = nullptr, void* pAlpha_blocks = nullptr,
uint32_t output_rows_in_pixels = 0, int channel0 = -1, int channel1 = -1) const;
static void write_opaque_alpha_blocks(
uint32_t num_blocks_x, uint32_t num_blocks_y,
void* pOutput_blocks, block_format fmt,
uint32_t block_stride_in_bytes, uint32_t output_row_pitch_in_blocks_or_pixels);
void set_global_codebooks(const basisu_lowlevel_etc1s_transcoder* pGlobal_codebook) { m_lowlevel_etc1s_decoder.set_global_codebooks(pGlobal_codebook); }
const basisu_lowlevel_etc1s_transcoder* get_global_codebooks() const { return m_lowlevel_etc1s_decoder.get_global_codebooks(); }
const basisu_lowlevel_etc1s_transcoder& get_lowlevel_etc1s_decoder() const { return m_lowlevel_etc1s_decoder; }
basisu_lowlevel_etc1s_transcoder& get_lowlevel_etc1s_decoder() { return m_lowlevel_etc1s_decoder; }
const basisu_lowlevel_uastc_transcoder& get_lowlevel_uastc_decoder() const { return m_lowlevel_uastc_decoder; }
basisu_lowlevel_uastc_transcoder& get_lowlevel_uastc_decoder() { return m_lowlevel_uastc_decoder; }
private:
mutable basisu_lowlevel_etc1s_transcoder m_lowlevel_etc1s_decoder;
mutable basisu_lowlevel_uastc_transcoder m_lowlevel_uastc_decoder;
bool m_ready_to_transcode;
int find_first_slice_index(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index) const;
bool validate_header_quick(const void* pData, uint32_t data_size) const;
};
// basisu_transcoder_init() MUST be called before a .basis file can be transcoded.
void basisu_transcoder_init();
enum debug_flags_t
{
cDebugFlagVisCRs = 1,
cDebugFlagVisBC1Sels = 2,
cDebugFlagVisBC1Endpoints = 4
};
uint32_t get_debug_flags();
void set_debug_flags(uint32_t f);
// ------------------------------------------------------------------------------------------------------
// Optional .KTX2 file format support
// KTX2 reading optionally requires miniz or Zstd decompressors for supercompressed UASTC files.
// ------------------------------------------------------------------------------------------------------
#if BASISD_SUPPORT_KTX2
#pragma pack(push)
#pragma pack(1)
struct ktx2_header
{
uint8_t m_identifier[12];
basisu::packed_uint<4> m_vk_format;
basisu::packed_uint<4> m_type_size;
basisu::packed_uint<4> m_pixel_width;
basisu::packed_uint<4> m_pixel_height;
basisu::packed_uint<4> m_pixel_depth;
basisu::packed_uint<4> m_layer_count;
basisu::packed_uint<4> m_face_count;
basisu::packed_uint<4> m_level_count;
basisu::packed_uint<4> m_supercompression_scheme;
basisu::packed_uint<4> m_dfd_byte_offset;
basisu::packed_uint<4> m_dfd_byte_length;
basisu::packed_uint<4> m_kvd_byte_offset;
basisu::packed_uint<4> m_kvd_byte_length;
basisu::packed_uint<8> m_sgd_byte_offset;
basisu::packed_uint<8> m_sgd_byte_length;
};
struct ktx2_level_index
{
basisu::packed_uint<8> m_byte_offset;
basisu::packed_uint<8> m_byte_length;
basisu::packed_uint<8> m_uncompressed_byte_length;
};
struct ktx2_etc1s_global_data_header
{
basisu::packed_uint<2> m_endpoint_count;
basisu::packed_uint<2> m_selector_count;
basisu::packed_uint<4> m_endpoints_byte_length;
basisu::packed_uint<4> m_selectors_byte_length;
basisu::packed_uint<4> m_tables_byte_length;
basisu::packed_uint<4> m_extended_byte_length;
};
struct ktx2_etc1s_image_desc
{
basisu::packed_uint<4> m_image_flags;
basisu::packed_uint<4> m_rgb_slice_byte_offset;
basisu::packed_uint<4> m_rgb_slice_byte_length;
basisu::packed_uint<4> m_alpha_slice_byte_offset;
basisu::packed_uint<4> m_alpha_slice_byte_length;
};
struct ktx2_animdata
{
basisu::packed_uint<4> m_duration;
basisu::packed_uint<4> m_timescale;
basisu::packed_uint<4> m_loopcount;
};
#pragma pack(pop)
const uint32_t KTX2_VK_FORMAT_UNDEFINED = 0;
const uint32_t KTX2_KDF_DF_MODEL_UASTC = 166;
const uint32_t KTX2_KDF_DF_MODEL_ETC1S = 163;
const uint32_t KTX2_IMAGE_IS_P_FRAME = 2;
const uint32_t KTX2_UASTC_BLOCK_SIZE = 16;
const uint32_t KTX2_MAX_SUPPORTED_LEVEL_COUNT = 16; // this is an implementation specific constraint and can be increased
// The KTX2 transfer functions supported by KTX2
const uint32_t KTX2_KHR_DF_TRANSFER_LINEAR = 1;
const uint32_t KTX2_KHR_DF_TRANSFER_SRGB = 2;
enum ktx2_supercompression
{
KTX2_SS_NONE = 0,
KTX2_SS_BASISLZ = 1,
KTX2_SS_ZSTANDARD = 2
};
extern const uint8_t g_ktx2_file_identifier[12];
enum ktx2_df_channel_id
{
KTX2_DF_CHANNEL_ETC1S_RGB = 0U,
KTX2_DF_CHANNEL_ETC1S_RRR = 3U,
KTX2_DF_CHANNEL_ETC1S_GGG = 4U,
KTX2_DF_CHANNEL_ETC1S_AAA = 15U,
KTX2_DF_CHANNEL_UASTC_DATA = 0U,
KTX2_DF_CHANNEL_UASTC_RGB = 0U,
KTX2_DF_CHANNEL_UASTC_RGBA = 3U,
KTX2_DF_CHANNEL_UASTC_RRR = 4U,
KTX2_DF_CHANNEL_UASTC_RRRG = 5U,
KTX2_DF_CHANNEL_UASTC_RG = 6U,
};
inline const char* ktx2_get_etc1s_df_channel_id_str(ktx2_df_channel_id id)
{
switch (id)
{
case KTX2_DF_CHANNEL_ETC1S_RGB: return "RGB";
case KTX2_DF_CHANNEL_ETC1S_RRR: return "RRR";
case KTX2_DF_CHANNEL_ETC1S_GGG: return "GGG";
case KTX2_DF_CHANNEL_ETC1S_AAA: return "AAA";
default: break;
}
return "?";
}
inline const char* ktx2_get_uastc_df_channel_id_str(ktx2_df_channel_id id)
{
switch (id)
{
case KTX2_DF_CHANNEL_UASTC_RGB: return "RGB";
case KTX2_DF_CHANNEL_UASTC_RGBA: return "RGBA";
case KTX2_DF_CHANNEL_UASTC_RRR: return "RRR";
case KTX2_DF_CHANNEL_UASTC_RRRG: return "RRRG";
case KTX2_DF_CHANNEL_UASTC_RG: return "RG";
default: break;
}
return "?";
}
enum ktx2_df_color_primaries
{
KTX2_DF_PRIMARIES_UNSPECIFIED = 0,
KTX2_DF_PRIMARIES_BT709 = 1,
KTX2_DF_PRIMARIES_SRGB = 1,
KTX2_DF_PRIMARIES_BT601_EBU = 2,
KTX2_DF_PRIMARIES_BT601_SMPTE = 3,
KTX2_DF_PRIMARIES_BT2020 = 4,
KTX2_DF_PRIMARIES_CIEXYZ = 5,
KTX2_DF_PRIMARIES_ACES = 6,
KTX2_DF_PRIMARIES_ACESCC = 7,
KTX2_DF_PRIMARIES_NTSC1953 = 8,
KTX2_DF_PRIMARIES_PAL525 = 9,
KTX2_DF_PRIMARIES_DISPLAYP3 = 10,
KTX2_DF_PRIMARIES_ADOBERGB = 11
};
inline const char* ktx2_get_df_color_primaries_str(ktx2_df_color_primaries p)
{
switch (p)
{
case KTX2_DF_PRIMARIES_UNSPECIFIED: return "UNSPECIFIED";
case KTX2_DF_PRIMARIES_BT709: return "BT709";
case KTX2_DF_PRIMARIES_BT601_EBU: return "EBU";
case KTX2_DF_PRIMARIES_BT601_SMPTE: return "SMPTE";
case KTX2_DF_PRIMARIES_BT2020: return "BT2020";
case KTX2_DF_PRIMARIES_CIEXYZ: return "CIEXYZ";
case KTX2_DF_PRIMARIES_ACES: return "ACES";
case KTX2_DF_PRIMARIES_ACESCC: return "ACESCC";
case KTX2_DF_PRIMARIES_NTSC1953: return "NTSC1953";
case KTX2_DF_PRIMARIES_PAL525: return "PAL525";
case KTX2_DF_PRIMARIES_DISPLAYP3: return "DISPLAYP3";
case KTX2_DF_PRIMARIES_ADOBERGB: return "ADOBERGB";
default: break;
}
return "?";
}
// Information about a single 2D texture "image" in a KTX2 file.
struct ktx2_image_level_info
{
// The mipmap level index (0=largest), texture array layer index, and cubemap face index of the image.
uint32_t m_level_index;
uint32_t m_layer_index;
uint32_t m_face_index;
// The image's actual (or the original source image's) width/height in pixels, which may not be divisible by 4 pixels.
uint32_t m_orig_width;
uint32_t m_orig_height;
// The image's physical width/height, which will always be divisible by 4 pixels.
uint32_t m_width;
uint32_t m_height;
// The texture's dimensions in 4x4 texel blocks.
uint32_t m_num_blocks_x;
uint32_t m_num_blocks_y;
// The total number of blocks
uint32_t m_total_blocks;
// true if the image has alpha data
bool m_alpha_flag;
// true if the image is an I-Frame. Currently, for ETC1S textures, the first frame will always be an I-Frame, and subsequent frames will always be P-Frames.
bool m_iframe_flag;
};
// Thread-specific ETC1S/supercompressed UASTC transcoder state. (If you're not doing multithreading transcoding you can ignore this.)
struct ktx2_transcoder_state
{
basist::basisu_transcoder_state m_transcoder_state;
basisu::uint8_vec m_level_uncomp_data;
int m_uncomp_data_level_index;
void clear()
{
m_transcoder_state.clear();
m_level_uncomp_data.clear();
m_uncomp_data_level_index = -1;
}
};
// This class is quite similar to basisu_transcoder. It treats KTX2 files as a simple container for ETC1S/UASTC texture data.
// It does not support 1D or 3D textures.
// It only supports 2D and cubemap textures, with or without mipmaps, texture arrays of 2D/cubemap textures, and texture video files.
// It only supports raw non-supercompressed UASTC, ETC1S, UASTC+Zstd, or UASTC+zlib compressed files.
// DFD (Data Format Descriptor) parsing is purposely as simple as possible.
// If you need to know how to interpret the texture channels you'll need to parse the DFD yourself after calling get_dfd().
class ktx2_transcoder
{
public:
ktx2_transcoder();
// Frees all allocations, resets object.
void clear();
// init() parses the KTX2 header, level index array, DFD, and key values, but nothing else.
// Importantly, it does not parse or decompress the ETC1S global supercompressed data, so some things (like which frames are I/P-Frames) won't be available until start_transcoding() is called.
// This method holds a pointer to the file data until clear() is called.
bool init(const void* pData, uint32_t data_size);
// Returns the data/size passed to init().
const uint8_t* get_data() const { return m_pData; }
uint32_t get_data_size() const { return m_data_size; }
// Returns the KTX2 header. Valid after init().
const ktx2_header& get_header() const { return m_header; }
// Returns the KTX2 level index array. There will be one entry for each mipmap level. Valid after init().
const basisu::vector<ktx2_level_index>& get_level_index() const { return m_levels; }
// Returns the texture's width in texels. Always non-zero, might not be divisible by 4. Valid after init().
uint32_t get_width() const { return m_header.m_pixel_width; }
// Returns the texture's height in texels. Always non-zero, might not be divisible by 4. Valid after init().
uint32_t get_height() const { return m_header.m_pixel_height; }
// Returns the texture's number of mipmap levels. Always returns 1 or higher. Valid after init().
uint32_t get_levels() const { return m_header.m_level_count; }
// Returns the number of faces. Returns 1 for 2D textures and or 6 for cubemaps. Valid after init().
uint32_t get_faces() const { return m_header.m_face_count; }
// Returns 0 or the number of layers in the texture array or texture video. Valid after init().
uint32_t get_layers() const { return m_header.m_layer_count; }
// Returns cETC1S or cUASTC4x4. Valid after init().
basist::basis_tex_format get_format() const { return m_format; }
bool is_etc1s() const { return get_format() == basist::basis_tex_format::cETC1S; }
bool is_uastc() const { return get_format() == basist::basis_tex_format::cUASTC4x4; }
// Returns true if the ETC1S file has two planes (typically RGBA, or RRRG), or true if the UASTC file has alpha data. Valid after init().
uint32_t get_has_alpha() const { return m_has_alpha; }
// Returns the entire Data Format Descriptor (DFD) from the KTX2 file. Valid after init().
// See https://www.khronos.org/registry/DataFormat/specs/1.3/dataformat.1.3.html#_the_khronos_data_format_descriptor_overview
const basisu::uint8_vec& get_dfd() const { return m_dfd; }
// Some basic DFD accessors. Valid after init().
uint32_t get_dfd_color_model() const { return m_dfd_color_model; }
// Returns the DFD color primary.
// We do not validate the color primaries, so the returned value may not be in the ktx2_df_color_primaries enum.
ktx2_df_color_primaries get_dfd_color_primaries() const { return m_dfd_color_prims; }
// Returns KTX2_KHR_DF_TRANSFER_LINEAR or KTX2_KHR_DF_TRANSFER_SRGB.
uint32_t get_dfd_transfer_func() const { return m_dfd_transfer_func; }
uint32_t get_dfd_flags() const { return m_dfd_flags; }
// Returns 1 (ETC1S/UASTC) or 2 (ETC1S with an internal alpha channel).
uint32_t get_dfd_total_samples() const { return m_dfd_samples; }
// Returns the channel mapping for each DFD "sample". UASTC always has 1 sample, ETC1S can have one or two.
// Note the returned value SHOULD be one of the ktx2_df_channel_id enums, but we don't validate that.
// It's up to the caller to decide what to do if the value isn't in the enum.
ktx2_df_channel_id get_dfd_channel_id0() const { return m_dfd_chan0; }
ktx2_df_channel_id get_dfd_channel_id1() const { return m_dfd_chan1; }
// Key value field data.
struct key_value
{
// The key field is UTF8 and always zero terminated.
basisu::uint8_vec m_key;
// The value may be empty. It consists of raw bytes which may or may not be zero terminated.
basisu::uint8_vec m_value;
bool operator< (const key_value& rhs) const { return strcmp((const char*)m_key.data(), (const char *)rhs.m_key.data()) < 0; }
};
typedef basisu::vector<key_value> key_value_vec;
// Returns the array of key-value entries. This may be empty. Valid after init().
// The order of key values fields in this array exactly matches the order they were stored in the file. The keys are supposed to be sorted by their Unicode code points.
const key_value_vec& get_key_values() const { return m_key_values; }
const basisu::uint8_vec *find_key(const std::string& key_name) const;
// Low-level ETC1S specific accessors
// Returns the ETC1S global supercompression data header, which is only valid after start_transcoding() is called.
const ktx2_etc1s_global_data_header& get_etc1s_header() const { return m_etc1s_header; }
// Returns the array of ETC1S image descriptors, which is only valid after get_etc1s_image_descs() is called.
const basisu::vector<ktx2_etc1s_image_desc>& get_etc1s_image_descs() const { return m_etc1s_image_descs; }
// Must have called startTranscoding() first
uint32_t get_etc1s_image_descs_image_flags(uint32_t level_index, uint32_t layer_index, uint32_t face_index) const;
// is_video() is only valid after start_transcoding() is called.
// For ETC1S data, if this returns true you must currently transcode the file from first to last frame, in order, without skipping any frames.
bool is_video() const { return m_is_video; }
// start_transcoding() MUST be called before calling transcode_image().
// This method decompresses the ETC1S global endpoint/selector codebooks, which is not free, so try to avoid calling it excessively.
bool start_transcoding();
// get_image_level_info() be called after init(), but the m_iframe_flag's won't be valid until start_transcoding() is called.
// You can call this method before calling transcode_image_level() to retrieve basic information about the mipmap level's dimensions, etc.
bool get_image_level_info(ktx2_image_level_info& level_info, uint32_t level_index, uint32_t layer_index, uint32_t face_index) const;
// transcode_image_level() transcodes a single 2D texture or cubemap face from the KTX2 file.
// Internally it uses the same low-level transcode API's as basisu_transcoder::transcode_image_level().
// If the file is UASTC and is supercompressed with Zstandard, and the file is a texture array or cubemap, it's highly recommended that each mipmap level is
// completely transcoded before switching to another level. Every time the mipmap level is changed all supercompressed level data must be decompressed using Zstandard as a single unit.
// Currently ETC1S videos must always be transcoded from first to last frame (or KTX2 "layer"), in order, with no skipping of frames.
// By default this method is not thread safe unless you specify a pointer to a user allocated thread-specific transcoder_state struct.
bool transcode_image_level(
uint32_t level_index, uint32_t layer_index, uint32_t face_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
basist::transcoder_texture_format fmt,
uint32_t decode_flags = 0, uint32_t output_row_pitch_in_blocks_or_pixels = 0, uint32_t output_rows_in_pixels = 0, int channel0 = -1, int channel1 = -1,
ktx2_transcoder_state *pState = nullptr);
private:
const uint8_t* m_pData;
uint32_t m_data_size;
ktx2_header m_header;
basisu::vector<ktx2_level_index> m_levels;
basisu::uint8_vec m_dfd;
key_value_vec m_key_values;
ktx2_etc1s_global_data_header m_etc1s_header;
basisu::vector<ktx2_etc1s_image_desc> m_etc1s_image_descs;
basist::basis_tex_format m_format;
uint32_t m_dfd_color_model;
ktx2_df_color_primaries m_dfd_color_prims;
uint32_t m_dfd_transfer_func;
uint32_t m_dfd_flags;
uint32_t m_dfd_samples;
ktx2_df_channel_id m_dfd_chan0, m_dfd_chan1;
basist::basisu_lowlevel_etc1s_transcoder m_etc1s_transcoder;
basist::basisu_lowlevel_uastc_transcoder m_uastc_transcoder;
ktx2_transcoder_state m_def_transcoder_state;
bool m_has_alpha;
bool m_is_video;
bool decompress_level_data(uint32_t level_index, basisu::uint8_vec& uncomp_data);
bool decompress_etc1s_global_data();
bool read_key_values();
};
#endif // BASISD_SUPPORT_KTX2
// Returns true if the transcoder was compiled with KTX2 support.
bool basisu_transcoder_supports_ktx2();
// Returns true if the transcoder was compiled with Zstandard support.
bool basisu_transcoder_supports_ktx2_zstd();
} // namespace basisu
/**** ended inlining basisu_transcoder.h ****/
#include <limits.h>
/**** start inlining basisu_containers_impl.h ****/
// basisu_containers_impl.h
// Do not include directly
#ifdef _MSC_VER
#pragma warning (disable:4127) // warning C4127: conditional expression is constant
#endif
namespace basisu
{
bool elemental_vector::increase_capacity(uint32_t min_new_capacity, bool grow_hint, uint32_t element_size, object_mover pMover, bool nofail)
{
assert(m_size <= m_capacity);
if (sizeof(void *) == sizeof(uint64_t))
assert(min_new_capacity < (0x400000000ULL / element_size));
else
assert(min_new_capacity < (0x7FFF0000U / element_size));
if (m_capacity >= min_new_capacity)
return true;
size_t new_capacity = min_new_capacity;
if ((grow_hint) && (!helpers::is_power_of_2((uint64_t)new_capacity)))
{
new_capacity = (size_t)helpers::next_pow2((uint64_t)new_capacity);
assert(new_capacity && (new_capacity > m_capacity));
if (new_capacity < min_new_capacity)
{
if (nofail)
return false;
fprintf(stderr, "vector too large\n");
abort();
}
}
const size_t desired_size = element_size * new_capacity;
size_t actual_size = 0;
if (!pMover)
{
void* new_p = realloc(m_p, desired_size);
if (!new_p)
{
if (nofail)
return false;
char buf[256];
#ifdef _MSC_VER
sprintf_s(buf, sizeof(buf), "vector: realloc() failed allocating %u bytes", (uint32_t)desired_size);
#else
sprintf(buf, "vector: realloc() failed allocating %u bytes", (uint32_t)desired_size);
#endif
fprintf(stderr, "%s", buf);
abort();
}
#if BASISU_VECTOR_DETERMINISTIC
actual_size = desired_size;
#elif defined(_MSC_VER)
actual_size = _msize(new_p);
#elif HAS_MALLOC_USABLE_SIZE
actual_size = malloc_usable_size(new_p);
#else
actual_size = desired_size;
#endif
m_p = new_p;
}
else
{
void* new_p = malloc(desired_size);
if (!new_p)
{
if (nofail)
return false;
char buf[256];
#ifdef _MSC_VER
sprintf_s(buf, sizeof(buf), "vector: malloc() failed allocating %u bytes", (uint32_t)desired_size);
#else
sprintf(buf, "vector: malloc() failed allocating %u bytes", (uint32_t)desired_size);
#endif
fprintf(stderr, "%s", buf);
abort();
}
#if BASISU_VECTOR_DETERMINISTIC
actual_size = desired_size;
#elif defined(_MSC_VER)
actual_size = _msize(new_p);
#elif HAS_MALLOC_USABLE_SIZE
actual_size = malloc_usable_size(new_p);
#else
actual_size = desired_size;
#endif
(*pMover)(new_p, m_p, m_size);
if (m_p)
free(m_p);
m_p = new_p;
}
if (actual_size > desired_size)
m_capacity = static_cast<uint32_t>(actual_size / element_size);
else
m_capacity = static_cast<uint32_t>(new_capacity);
return true;
}
#if BASISU_HASHMAP_TEST
#define HASHMAP_TEST_VERIFY(c) do { if (!(c)) handle_hashmap_test_verify_failure(__LINE__); } while(0)
static void handle_hashmap_test_verify_failure(int line)
{
fprintf(stderr, "HASHMAP_TEST_VERIFY() faild on line %i\n", line);
abort();
}
class counted_obj
{
public:
counted_obj(uint32_t v = 0) :
m_val(v)
{
m_count++;
}
counted_obj(const counted_obj& obj) :
m_val(obj.m_val)
{
m_count++;
}
~counted_obj()
{
assert(m_count > 0);
m_count--;
}
static uint32_t m_count;
uint32_t m_val;
operator size_t() const { return m_val; }
bool operator== (const counted_obj& rhs) const { return m_val == rhs.m_val; }
bool operator== (const uint32_t rhs) const { return m_val == rhs; }
};
uint32_t counted_obj::m_count;
static uint32_t urand32()
{
uint32_t a = rand();
uint32_t b = rand() << 15;
uint32_t c = rand() << (32 - 15);
return a ^ b ^ c;
}
static int irand32(int l, int h)
{
assert(l < h);
if (l >= h)
return l;
uint32_t range = static_cast<uint32_t>(h - l);
uint32_t rnd = urand32();
uint32_t rnd_range = static_cast<uint32_t>((((uint64_t)range) * ((uint64_t)rnd)) >> 32U);
int result = l + rnd_range;
assert((result >= l) && (result < h));
return result;
}
void hash_map_test()
{
{
basisu::hash_map<uint64_t, uint64_t> k;
basisu::hash_map<uint64_t, uint64_t> l;
std::swap(k, l);
k.begin();
k.end();
k.clear();
k.empty();
k.erase(0);
k.insert(0, 1);
k.find(0);
k.get_equals();
k.get_hasher();
k.get_table_size();
k.reset();
k.reserve(1);
k = l;
k.set_equals(l.get_equals());
k.set_hasher(l.get_hasher());
k.get_table_size();
}
uint32_t seed = 0;
for (; ; )
{
seed++;
typedef basisu::hash_map<counted_obj, counted_obj> my_hash_map;
my_hash_map m;
const uint32_t n = irand32(0, 100000);
printf("%u\n", n);
srand(seed); // r1.seed(seed);
basisu::vector<int> q;
uint32_t count = 0;
for (uint32_t i = 0; i < n; i++)
{
uint32_t v = urand32() & 0x7FFFFFFF;
my_hash_map::insert_result res = m.insert(counted_obj(v), counted_obj(v ^ 0xdeadbeef));
if (res.second)
{
count++;
q.push_back(v);
}
}
HASHMAP_TEST_VERIFY(m.size() == count);
srand(seed);
my_hash_map cm(m);
m.clear();
m = cm;
cm.reset();
for (uint32_t i = 0; i < n; i++)
{
uint32_t v = urand32() & 0x7FFFFFFF;
my_hash_map::const_iterator it = m.find(counted_obj(v));
HASHMAP_TEST_VERIFY(it != m.end());
HASHMAP_TEST_VERIFY(it->first == v);
HASHMAP_TEST_VERIFY(it->second == (v ^ 0xdeadbeef));
}
for (uint32_t t = 0; t < 2; t++)
{
const uint32_t nd = irand32(1, q.size() + 1);
for (uint32_t i = 0; i < nd; i++)
{
uint32_t p = irand32(0, q.size());
int k = q[p];
if (k >= 0)
{
q[p] = -k - 1;
bool s = m.erase(counted_obj(k));
HASHMAP_TEST_VERIFY(s);
}
}
typedef basisu::hash_map<uint32_t, empty_type> uint_hash_set;
uint_hash_set s;
for (uint32_t i = 0; i < q.size(); i++)
{
int v = q[i];
if (v >= 0)
{
my_hash_map::const_iterator it = m.find(counted_obj(v));
HASHMAP_TEST_VERIFY(it != m.end());
HASHMAP_TEST_VERIFY(it->first == (uint32_t)v);
HASHMAP_TEST_VERIFY(it->second == ((uint32_t)v ^ 0xdeadbeef));
s.insert(v);
}
else
{
my_hash_map::const_iterator it = m.find(counted_obj(-v - 1));
HASHMAP_TEST_VERIFY(it == m.end());
}
}
uint32_t found_count = 0;
for (my_hash_map::const_iterator it = m.begin(); it != m.end(); ++it)
{
HASHMAP_TEST_VERIFY(it->second == ((uint32_t)it->first ^ 0xdeadbeef));
uint_hash_set::const_iterator fit(s.find((uint32_t)it->first));
HASHMAP_TEST_VERIFY(fit != s.end());
HASHMAP_TEST_VERIFY(fit->first == it->first);
found_count++;
}
HASHMAP_TEST_VERIFY(found_count == s.size());
}
HASHMAP_TEST_VERIFY(counted_obj::m_count == m.size() * 2);
}
}
#endif // BASISU_HASHMAP_TEST
} // namespace basisu
/**** ended inlining basisu_containers_impl.h ****/
#ifndef BASISD_IS_BIG_ENDIAN
// TODO: This doesn't work on OSX. How can this be so difficult?
//#if defined(__BIG_ENDIAN__) || defined(_BIG_ENDIAN) || defined(BIG_ENDIAN)
// #define BASISD_IS_BIG_ENDIAN (1)
//#else
#define BASISD_IS_BIG_ENDIAN (0)
//#endif
#endif
#ifndef BASISD_USE_UNALIGNED_WORD_READS
#ifdef __EMSCRIPTEN__
// Can't use unaligned loads/stores with WebAssembly.
#define BASISD_USE_UNALIGNED_WORD_READS (0)
#elif defined(_M_AMD64) || defined(_M_IX86) || defined(__i386__) || defined(__x86_64__)
#define BASISD_USE_UNALIGNED_WORD_READS (1)
#else
#define BASISD_USE_UNALIGNED_WORD_READS (0)
#endif
#endif
#define BASISD_SUPPORTED_BASIS_VERSION (0x13)
#ifndef BASISD_SUPPORT_KTX2
#error Must have defined BASISD_SUPPORT_KTX2
#endif
#ifndef BASISD_SUPPORT_KTX2_ZSTD
#error Must have defined BASISD_SUPPORT_KTX2_ZSTD
#endif
// Set to 1 for fuzz testing. This will disable all CRC16 checks on headers and compressed data.
#ifndef BASISU_NO_HEADER_OR_DATA_CRC16_CHECKS
#define BASISU_NO_HEADER_OR_DATA_CRC16_CHECKS 0
#endif
#ifndef BASISD_SUPPORT_DXT1
#define BASISD_SUPPORT_DXT1 1
#endif
#ifndef BASISD_SUPPORT_DXT5A
#define BASISD_SUPPORT_DXT5A 1
#endif
// Disable all BC7 transcoders if necessary (useful when cross compiling to Javascript)
#if defined(BASISD_SUPPORT_BC7) && !BASISD_SUPPORT_BC7
#ifndef BASISD_SUPPORT_BC7_MODE5
#define BASISD_SUPPORT_BC7_MODE5 0
#endif
#endif // !BASISD_SUPPORT_BC7
// BC7 mode 5 supports both opaque and opaque+alpha textures, and uses less memory BC1.
#ifndef BASISD_SUPPORT_BC7_MODE5
#define BASISD_SUPPORT_BC7_MODE5 1
#endif
#ifndef BASISD_SUPPORT_PVRTC1
#define BASISD_SUPPORT_PVRTC1 1
#endif
#ifndef BASISD_SUPPORT_ETC2_EAC_A8
#define BASISD_SUPPORT_ETC2_EAC_A8 1
#endif
// Set BASISD_SUPPORT_UASTC to 0 to completely disable support for transcoding UASTC files.
#ifndef BASISD_SUPPORT_UASTC
#define BASISD_SUPPORT_UASTC 1
#endif
#ifndef BASISD_SUPPORT_ASTC
#define BASISD_SUPPORT_ASTC 1
#endif
// Note that if BASISD_SUPPORT_ATC is enabled, BASISD_SUPPORT_DXT5A should also be enabled for alpha support.
#ifndef BASISD_SUPPORT_ATC
#define BASISD_SUPPORT_ATC 1
#endif
// Support for ETC2 EAC R11 and ETC2 EAC RG11
#ifndef BASISD_SUPPORT_ETC2_EAC_RG11
#define BASISD_SUPPORT_ETC2_EAC_RG11 1
#endif
// If BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY is 1, opaque blocks will be transcoded to ASTC at slightly higher quality (higher than BC1), but the transcoder tables will be 2x as large.
// This impacts grayscale and grayscale+alpha textures the most.
#ifndef BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
#ifdef __EMSCRIPTEN__
// Let's assume size matters more than quality when compiling with emscripten.
#define BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY 0
#else
// Compiling native, so an extra 64K lookup table is probably acceptable.
#define BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY 1
#endif
#endif
#ifndef BASISD_SUPPORT_FXT1
#define BASISD_SUPPORT_FXT1 1
#endif
#ifndef BASISD_SUPPORT_PVRTC2
#define BASISD_SUPPORT_PVRTC2 1
#endif
#if BASISD_SUPPORT_PVRTC2
#if !BASISD_SUPPORT_ATC
#error BASISD_SUPPORT_ATC must be 1 if BASISD_SUPPORT_PVRTC2 is 1
#endif
#endif
#if BASISD_SUPPORT_ATC
#if !BASISD_SUPPORT_DXT5A
#error BASISD_SUPPORT_DXT5A must be 1 if BASISD_SUPPORT_ATC is 1
#endif
#endif
#define BASISD_WRITE_NEW_BC7_MODE5_TABLES 0
#define BASISD_WRITE_NEW_DXT1_TABLES 0
#define BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES 0
#define BASISD_WRITE_NEW_ASTC_TABLES 0
#define BASISD_WRITE_NEW_ATC_TABLES 0
#define BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES 0
#ifndef BASISD_ENABLE_DEBUG_FLAGS
#define BASISD_ENABLE_DEBUG_FLAGS 0
#endif
// If KTX2 support is enabled, we may need Zstd for decompression of supercompressed UASTC files. Include this header.
#if BASISD_SUPPORT_KTX2
// If BASISD_SUPPORT_KTX2_ZSTD is 0, UASTC files compressed with Zstd cannot be loaded.
#if BASISD_SUPPORT_KTX2_ZSTD
// We only use two Zstd API's: ZSTD_decompress() and ZSTD_isError()
/**** start inlining zstd ****/
#error Unable to find "zstd"
/**** ended inlining zstd ****/
#endif
#endif
namespace basisu
{
bool g_debug_printf;
void enable_debug_printf(bool enabled)
{
g_debug_printf = enabled;
}
void debug_printf(const char* pFmt, ...)
{
#if BASISU_FORCE_DEVEL_MESSAGES
g_debug_printf = true;
#endif
if (g_debug_printf)
{
va_list args;
va_start(args, pFmt);
vprintf(pFmt, args);
va_end(args);
}
}
} // namespace basisu
namespace basist
{
#if BASISD_ENABLE_DEBUG_FLAGS
static uint32_t g_debug_flags = 0;
#endif
uint32_t get_debug_flags()
{
#if BASISD_ENABLE_DEBUG_FLAGS
return g_debug_flags;
#else
return 0;
#endif
}
void set_debug_flags(uint32_t f)
{
BASISU_NOTE_UNUSED(f);
#if BASISD_ENABLE_DEBUG_FLAGS
g_debug_flags = f;
#endif
}
inline uint16_t byteswap_uint16(uint16_t v)
{
return static_cast<uint16_t>((v >> 8) | (v << 8));
}
static inline int32_t clampi(int32_t value, int32_t low, int32_t high) { if (value < low) value = low; else if (value > high) value = high; return value; }
static inline float clampf(float value, float low, float high) { if (value < low) value = low; else if (value > high) value = high; return value; }
static inline float saturate(float value) { return clampf(value, 0, 1.0f); }
static inline uint8_t mul_8(uint32_t v, uint32_t q) { v = v * q + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
uint16_t crc16(const void* r, size_t size, uint16_t crc)
{
crc = ~crc;
const uint8_t* p = static_cast<const uint8_t*>(r);
for (; size; --size)
{
const uint16_t q = *p++ ^ (crc >> 8);
uint16_t k = (q >> 4) ^ q;
crc = (((crc << 8) ^ k) ^ (k << 5)) ^ (k << 12);
}
return static_cast<uint16_t>(~crc);
}
enum etc_constants
{
cETC1BytesPerBlock = 8U,
cETC1SelectorBits = 2U,
cETC1SelectorValues = 1U << cETC1SelectorBits,
cETC1SelectorMask = cETC1SelectorValues - 1U,
cETC1BlockShift = 2U,
cETC1BlockSize = 1U << cETC1BlockShift,
cETC1LSBSelectorIndicesBitOffset = 0,
cETC1MSBSelectorIndicesBitOffset = 16,
cETC1FlipBitOffset = 32,
cETC1DiffBitOffset = 33,
cETC1IntenModifierNumBits = 3,
cETC1IntenModifierValues = 1 << cETC1IntenModifierNumBits,
cETC1RightIntenModifierTableBitOffset = 34,
cETC1LeftIntenModifierTableBitOffset = 37,
// Base+Delta encoding (5 bit bases, 3 bit delta)
cETC1BaseColorCompNumBits = 5,
cETC1BaseColorCompMax = 1 << cETC1BaseColorCompNumBits,
cETC1DeltaColorCompNumBits = 3,
cETC1DeltaColorComp = 1 << cETC1DeltaColorCompNumBits,
cETC1DeltaColorCompMax = 1 << cETC1DeltaColorCompNumBits,
cETC1BaseColor5RBitOffset = 59,
cETC1BaseColor5GBitOffset = 51,
cETC1BaseColor5BBitOffset = 43,
cETC1DeltaColor3RBitOffset = 56,
cETC1DeltaColor3GBitOffset = 48,
cETC1DeltaColor3BBitOffset = 40,
// Absolute (non-delta) encoding (two 4-bit per component bases)
cETC1AbsColorCompNumBits = 4,
cETC1AbsColorCompMax = 1 << cETC1AbsColorCompNumBits,
cETC1AbsColor4R1BitOffset = 60,
cETC1AbsColor4G1BitOffset = 52,
cETC1AbsColor4B1BitOffset = 44,
cETC1AbsColor4R2BitOffset = 56,
cETC1AbsColor4G2BitOffset = 48,
cETC1AbsColor4B2BitOffset = 40,
cETC1ColorDeltaMin = -4,
cETC1ColorDeltaMax = 3,
// Delta3:
// 0 1 2 3 4 5 6 7
// 000 001 010 011 100 101 110 111
// 0 1 2 3 -4 -3 -2 -1
};
#define DECLARE_ETC1_INTEN_TABLE(name, N) \
static const int name[cETC1IntenModifierValues][cETC1SelectorValues] = \
{ \
{ N * -8, N * -2, N * 2, N * 8 },{ N * -17, N * -5, N * 5, N * 17 },{ N * -29, N * -9, N * 9, N * 29 },{ N * -42, N * -13, N * 13, N * 42 }, \
{ N * -60, N * -18, N * 18, N * 60 },{ N * -80, N * -24, N * 24, N * 80 },{ N * -106, N * -33, N * 33, N * 106 },{ N * -183, N * -47, N * 47, N * 183 } \
};
DECLARE_ETC1_INTEN_TABLE(g_etc1_inten_tables, 1);
DECLARE_ETC1_INTEN_TABLE(g_etc1_inten_tables16, 16);
DECLARE_ETC1_INTEN_TABLE(g_etc1_inten_tables48, 3 * 16);
//const uint8_t g_etc1_to_selector_index[cETC1SelectorValues] = { 2, 3, 1, 0 };
const uint8_t g_selector_index_to_etc1[cETC1SelectorValues] = { 3, 2, 0, 1 };
static const uint8_t g_etc_5_to_8[32] = { 0, 8, 16, 24, 33, 41, 49, 57, 66, 74, 82, 90, 99, 107, 115, 123, 132, 140, 148, 156, 165, 173, 181, 189, 198, 206, 214, 222, 231, 239, 247, 255 };
struct decoder_etc_block
{
// big endian uint64:
// bit ofs: 56 48 40 32 24 16 8 0
// byte ofs: b0, b1, b2, b3, b4, b5, b6, b7
union
{
uint64_t m_uint64;
uint32_t m_uint32[2];
uint8_t m_bytes[8];
struct
{
signed m_dred2 : 3;
uint32_t m_red1 : 5;
signed m_dgreen2 : 3;
uint32_t m_green1 : 5;
signed m_dblue2 : 3;
uint32_t m_blue1 : 5;
uint32_t m_flip : 1;
uint32_t m_diff : 1;
uint32_t m_cw2 : 3;
uint32_t m_cw1 : 3;
uint32_t m_selectors;
} m_differential;
};
inline void clear()
{
assert(sizeof(*this) == 8);
basisu::clear_obj(*this);
}
inline void set_byte_bits(uint32_t ofs, uint32_t num, uint32_t bits)
{
assert((ofs + num) <= 64U);
assert(num && (num < 32U));
assert((ofs >> 3) == ((ofs + num - 1) >> 3));
assert(bits < (1U << num));
const uint32_t byte_ofs = 7 - (ofs >> 3);
const uint32_t byte_bit_ofs = ofs & 7;
const uint32_t mask = (1 << num) - 1;
m_bytes[byte_ofs] &= ~(mask << byte_bit_ofs);
m_bytes[byte_ofs] |= (bits << byte_bit_ofs);
}
inline void set_flip_bit(bool flip)
{
m_bytes[3] &= ~1;
m_bytes[3] |= static_cast<uint8_t>(flip);
}
inline void set_diff_bit(bool diff)
{
m_bytes[3] &= ~2;
m_bytes[3] |= (static_cast<uint32_t>(diff) << 1);
}
// Sets intensity modifier table (0-7) used by subblock subblock_id (0 or 1)
inline void set_inten_table(uint32_t subblock_id, uint32_t t)
{
assert(subblock_id < 2);
assert(t < 8);
const uint32_t ofs = subblock_id ? 2 : 5;
m_bytes[3] &= ~(7 << ofs);
m_bytes[3] |= (t << ofs);
}
// Selector "val" ranges from 0-3 and is a direct index into g_etc1_inten_tables.
inline void set_selector(uint32_t x, uint32_t y, uint32_t val)
{
assert((x | y | val) < 4);
const uint32_t bit_index = x * 4 + y;
uint8_t* p = &m_bytes[7 - (bit_index >> 3)];
const uint32_t byte_bit_ofs = bit_index & 7;
const uint32_t mask = 1 << byte_bit_ofs;
static const uint8_t s_selector_index_to_etc1[4] = { 3, 2, 0, 1 };
const uint32_t etc1_val = s_selector_index_to_etc1[val];
const uint32_t lsb = etc1_val & 1;
const uint32_t msb = etc1_val >> 1;
p[0] &= ~mask;
p[0] |= (lsb << byte_bit_ofs);
p[-2] &= ~mask;
p[-2] |= (msb << byte_bit_ofs);
}
// Returned encoded selector value ranges from 0-3 (this is NOT a direct index into g_etc1_inten_tables, see get_selector())
inline uint32_t get_raw_selector(uint32_t x, uint32_t y) const
{
assert((x | y) < 4);
const uint32_t bit_index = x * 4 + y;
const uint32_t byte_bit_ofs = bit_index & 7;
const uint8_t* p = &m_bytes[7 - (bit_index >> 3)];
const uint32_t lsb = (p[0] >> byte_bit_ofs) & 1;
const uint32_t msb = (p[-2] >> byte_bit_ofs) & 1;
const uint32_t val = lsb | (msb << 1);
return val;
}
// Returned selector value ranges from 0-3 and is a direct index into g_etc1_inten_tables.
inline uint32_t get_selector(uint32_t x, uint32_t y) const
{
static const uint8_t s_etc1_to_selector_index[cETC1SelectorValues] = { 2, 3, 1, 0 };
return s_etc1_to_selector_index[get_raw_selector(x, y)];
}
inline void set_raw_selector_bits(uint32_t bits)
{
m_bytes[4] = static_cast<uint8_t>(bits);
m_bytes[5] = static_cast<uint8_t>(bits >> 8);
m_bytes[6] = static_cast<uint8_t>(bits >> 16);
m_bytes[7] = static_cast<uint8_t>(bits >> 24);
}
inline bool are_all_selectors_the_same() const
{
uint32_t v = *reinterpret_cast<const uint32_t*>(&m_bytes[4]);
if ((v == 0xFFFFFFFF) || (v == 0xFFFF) || (!v) || (v == 0xFFFF0000))
return true;
return false;
}
inline void set_raw_selector_bits(uint8_t byte0, uint8_t byte1, uint8_t byte2, uint8_t byte3)
{
m_bytes[4] = byte0;
m_bytes[5] = byte1;
m_bytes[6] = byte2;
m_bytes[7] = byte3;
}
inline uint32_t get_raw_selector_bits() const
{
return m_bytes[4] | (m_bytes[5] << 8) | (m_bytes[6] << 16) | (m_bytes[7] << 24);
}
inline void set_base4_color(uint32_t idx, uint16_t c)
{
if (idx)
{
set_byte_bits(cETC1AbsColor4R2BitOffset, 4, (c >> 8) & 15);
set_byte_bits(cETC1AbsColor4G2BitOffset, 4, (c >> 4) & 15);
set_byte_bits(cETC1AbsColor4B2BitOffset, 4, c & 15);
}
else
{
set_byte_bits(cETC1AbsColor4R1BitOffset, 4, (c >> 8) & 15);
set_byte_bits(cETC1AbsColor4G1BitOffset, 4, (c >> 4) & 15);
set_byte_bits(cETC1AbsColor4B1BitOffset, 4, c & 15);
}
}
inline void set_base5_color(uint16_t c)
{
set_byte_bits(cETC1BaseColor5RBitOffset, 5, (c >> 10) & 31);
set_byte_bits(cETC1BaseColor5GBitOffset, 5, (c >> 5) & 31);
set_byte_bits(cETC1BaseColor5BBitOffset, 5, c & 31);
}
void set_delta3_color(uint16_t c)
{
set_byte_bits(cETC1DeltaColor3RBitOffset, 3, (c >> 6) & 7);
set_byte_bits(cETC1DeltaColor3GBitOffset, 3, (c >> 3) & 7);
set_byte_bits(cETC1DeltaColor3BBitOffset, 3, c & 7);
}
void set_block_color4(const color32& c0_unscaled, const color32& c1_unscaled)
{
set_diff_bit(false);
set_base4_color(0, pack_color4(c0_unscaled, false));
set_base4_color(1, pack_color4(c1_unscaled, false));
}
void set_block_color5(const color32& c0_unscaled, const color32& c1_unscaled)
{
set_diff_bit(true);
set_base5_color(pack_color5(c0_unscaled, false));
int dr = c1_unscaled.r - c0_unscaled.r;
int dg = c1_unscaled.g - c0_unscaled.g;
int db = c1_unscaled.b - c0_unscaled.b;
set_delta3_color(pack_delta3(dr, dg, db));
}
bool set_block_color5_check(const color32& c0_unscaled, const color32& c1_unscaled)
{
set_diff_bit(true);
set_base5_color(pack_color5(c0_unscaled, false));
int dr = c1_unscaled.r - c0_unscaled.r;
int dg = c1_unscaled.g - c0_unscaled.g;
int db = c1_unscaled.b - c0_unscaled.b;
if (((dr < cETC1ColorDeltaMin) || (dr > cETC1ColorDeltaMax)) ||
((dg < cETC1ColorDeltaMin) || (dg > cETC1ColorDeltaMax)) ||
((db < cETC1ColorDeltaMin) || (db > cETC1ColorDeltaMax)))
return false;
set_delta3_color(pack_delta3(dr, dg, db));
return true;
}
inline uint32_t get_byte_bits(uint32_t ofs, uint32_t num) const
{
assert((ofs + num) <= 64U);
assert(num && (num <= 8U));
assert((ofs >> 3) == ((ofs + num - 1) >> 3));
const uint32_t byte_ofs = 7 - (ofs >> 3);
const uint32_t byte_bit_ofs = ofs & 7;
return (m_bytes[byte_ofs] >> byte_bit_ofs) & ((1 << num) - 1);
}
inline uint16_t get_base5_color() const
{
const uint32_t r = get_byte_bits(cETC1BaseColor5RBitOffset, 5);
const uint32_t g = get_byte_bits(cETC1BaseColor5GBitOffset, 5);
const uint32_t b = get_byte_bits(cETC1BaseColor5BBitOffset, 5);
return static_cast<uint16_t>(b | (g << 5U) | (r << 10U));
}
inline uint16_t get_base4_color(uint32_t idx) const
{
uint32_t r, g, b;
if (idx)
{
r = get_byte_bits(cETC1AbsColor4R2BitOffset, 4);
g = get_byte_bits(cETC1AbsColor4G2BitOffset, 4);
b = get_byte_bits(cETC1AbsColor4B2BitOffset, 4);
}
else
{
r = get_byte_bits(cETC1AbsColor4R1BitOffset, 4);
g = get_byte_bits(cETC1AbsColor4G1BitOffset, 4);
b = get_byte_bits(cETC1AbsColor4B1BitOffset, 4);
}
return static_cast<uint16_t>(b | (g << 4U) | (r << 8U));
}
inline color32 get_base5_color_unscaled() const
{
return color32(m_differential.m_red1, m_differential.m_green1, m_differential.m_blue1, 255);
}
inline bool get_flip_bit() const
{
return (m_bytes[3] & 1) != 0;
}
inline bool get_diff_bit() const
{
return (m_bytes[3] & 2) != 0;
}
inline uint32_t get_inten_table(uint32_t subblock_id) const
{
assert(subblock_id < 2);
const uint32_t ofs = subblock_id ? 2 : 5;
return (m_bytes[3] >> ofs) & 7;
}
inline uint16_t get_delta3_color() const
{
const uint32_t r = get_byte_bits(cETC1DeltaColor3RBitOffset, 3);
const uint32_t g = get_byte_bits(cETC1DeltaColor3GBitOffset, 3);
const uint32_t b = get_byte_bits(cETC1DeltaColor3BBitOffset, 3);
return static_cast<uint16_t>(b | (g << 3U) | (r << 6U));
}
void get_block_colors(color32* pBlock_colors, uint32_t subblock_index) const
{
color32 b;
if (get_diff_bit())
{
if (subblock_index)
unpack_color5(b, get_base5_color(), get_delta3_color(), true, 255);
else
unpack_color5(b, get_base5_color(), true);
}
else
{
b = unpack_color4(get_base4_color(subblock_index), true, 255);
}
const int* pInten_table = g_etc1_inten_tables[get_inten_table(subblock_index)];
pBlock_colors[0].set_noclamp_rgba(clamp255(b.r + pInten_table[0]), clamp255(b.g + pInten_table[0]), clamp255(b.b + pInten_table[0]), 255);
pBlock_colors[1].set_noclamp_rgba(clamp255(b.r + pInten_table[1]), clamp255(b.g + pInten_table[1]), clamp255(b.b + pInten_table[1]), 255);
pBlock_colors[2].set_noclamp_rgba(clamp255(b.r + pInten_table[2]), clamp255(b.g + pInten_table[2]), clamp255(b.b + pInten_table[2]), 255);
pBlock_colors[3].set_noclamp_rgba(clamp255(b.r + pInten_table[3]), clamp255(b.g + pInten_table[3]), clamp255(b.b + pInten_table[3]), 255);
}
static uint16_t pack_color4(const color32& color, bool scaled, uint32_t bias = 127U)
{
return pack_color4(color.r, color.g, color.b, scaled, bias);
}
static uint16_t pack_color4(uint32_t r, uint32_t g, uint32_t b, bool scaled, uint32_t bias = 127U)
{
if (scaled)
{
r = (r * 15U + bias) / 255U;
g = (g * 15U + bias) / 255U;
b = (b * 15U + bias) / 255U;
}
r = basisu::minimum(r, 15U);
g = basisu::minimum(g, 15U);
b = basisu::minimum(b, 15U);
return static_cast<uint16_t>(b | (g << 4U) | (r << 8U));
}
static uint16_t pack_color5(const color32& color, bool scaled, uint32_t bias = 127U)
{
return pack_color5(color.r, color.g, color.b, scaled, bias);
}
static uint16_t pack_color5(uint32_t r, uint32_t g, uint32_t b, bool scaled, uint32_t bias = 127U)
{
if (scaled)
{
r = (r * 31U + bias) / 255U;
g = (g * 31U + bias) / 255U;
b = (b * 31U + bias) / 255U;
}
r = basisu::minimum(r, 31U);
g = basisu::minimum(g, 31U);
b = basisu::minimum(b, 31U);
return static_cast<uint16_t>(b | (g << 5U) | (r << 10U));
}
uint16_t pack_delta3(const color32& color)
{
return pack_delta3(color.r, color.g, color.b);
}
uint16_t pack_delta3(int r, int g, int b)
{
assert((r >= cETC1ColorDeltaMin) && (r <= cETC1ColorDeltaMax));
assert((g >= cETC1ColorDeltaMin) && (g <= cETC1ColorDeltaMax));
assert((b >= cETC1ColorDeltaMin) && (b <= cETC1ColorDeltaMax));
if (r < 0) r += 8;
if (g < 0) g += 8;
if (b < 0) b += 8;
return static_cast<uint16_t>(b | (g << 3) | (r << 6));
}
static void unpack_delta3(int& r, int& g, int& b, uint16_t packed_delta3)
{
r = (packed_delta3 >> 6) & 7;
g = (packed_delta3 >> 3) & 7;
b = packed_delta3 & 7;
if (r >= 4) r -= 8;
if (g >= 4) g -= 8;
if (b >= 4) b -= 8;
}
static color32 unpack_color5(uint16_t packed_color5, bool scaled, uint32_t alpha)
{
uint32_t b = packed_color5 & 31U;
uint32_t g = (packed_color5 >> 5U) & 31U;
uint32_t r = (packed_color5 >> 10U) & 31U;
if (scaled)
{
b = (b << 3U) | (b >> 2U);
g = (g << 3U) | (g >> 2U);
r = (r << 3U) | (r >> 2U);
}
assert(alpha <= 255);
return color32(cNoClamp, r, g, b, alpha);
}
static void unpack_color5(uint32_t& r, uint32_t& g, uint32_t& b, uint16_t packed_color5, bool scaled)
{
color32 c(unpack_color5(packed_color5, scaled, 0));
r = c.r;
g = c.g;
b = c.b;
}
static void unpack_color5(color32& result, uint16_t packed_color5, bool scaled)
{
result = unpack_color5(packed_color5, scaled, 255);
}
static bool unpack_color5(color32& result, uint16_t packed_color5, uint16_t packed_delta3, bool scaled, uint32_t alpha)
{
int dr, dg, db;
unpack_delta3(dr, dg, db, packed_delta3);
int r = ((packed_color5 >> 10U) & 31U) + dr;
int g = ((packed_color5 >> 5U) & 31U) + dg;
int b = (packed_color5 & 31U) + db;
bool success = true;
if (static_cast<uint32_t>(r | g | b) > 31U)
{
success = false;
r = basisu::clamp<int>(r, 0, 31);
g = basisu::clamp<int>(g, 0, 31);
b = basisu::clamp<int>(b, 0, 31);
}
if (scaled)
{
b = (b << 3U) | (b >> 2U);
g = (g << 3U) | (g >> 2U);
r = (r << 3U) | (r >> 2U);
}
result.set_noclamp_rgba(r, g, b, basisu::minimum(alpha, 255U));
return success;
}
static color32 unpack_color4(uint16_t packed_color4, bool scaled, uint32_t alpha)
{
uint32_t b = packed_color4 & 15U;
uint32_t g = (packed_color4 >> 4U) & 15U;
uint32_t r = (packed_color4 >> 8U) & 15U;
if (scaled)
{
b = (b << 4U) | b;
g = (g << 4U) | g;
r = (r << 4U) | r;
}
return color32(cNoClamp, r, g, b, basisu::minimum(alpha, 255U));
}
static void unpack_color4(uint32_t& r, uint32_t& g, uint32_t& b, uint16_t packed_color4, bool scaled)
{
color32 c(unpack_color4(packed_color4, scaled, 0));
r = c.r;
g = c.g;
b = c.b;
}
static void get_diff_subblock_colors(color32* pDst, uint16_t packed_color5, uint32_t table_idx)
{
assert(table_idx < cETC1IntenModifierValues);
const int* pInten_modifer_table = &g_etc1_inten_tables[table_idx][0];
uint32_t r, g, b;
unpack_color5(r, g, b, packed_color5, true);
const int ir = static_cast<int>(r), ig = static_cast<int>(g), ib = static_cast<int>(b);
const int y0 = pInten_modifer_table[0];
pDst[0].set(clamp255(ir + y0), clamp255(ig + y0), clamp255(ib + y0), 255);
const int y1 = pInten_modifer_table[1];
pDst[1].set(clamp255(ir + y1), clamp255(ig + y1), clamp255(ib + y1), 255);
const int y2 = pInten_modifer_table[2];
pDst[2].set(clamp255(ir + y2), clamp255(ig + y2), clamp255(ib + y2), 255);
const int y3 = pInten_modifer_table[3];
pDst[3].set(clamp255(ir + y3), clamp255(ig + y3), clamp255(ib + y3), 255);
}
static int clamp255(int x)
{
if (x & 0xFFFFFF00)
{
if (x < 0)
x = 0;
else if (x > 255)
x = 255;
}
return x;
}
static void get_block_colors5(color32* pBlock_colors, const color32& base_color5, uint32_t inten_table)
{
color32 b(base_color5);
b.r = (b.r << 3) | (b.r >> 2);
b.g = (b.g << 3) | (b.g >> 2);
b.b = (b.b << 3) | (b.b >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0].set(clamp255(b.r + pInten_table[0]), clamp255(b.g + pInten_table[0]), clamp255(b.b + pInten_table[0]), 255);
pBlock_colors[1].set(clamp255(b.r + pInten_table[1]), clamp255(b.g + pInten_table[1]), clamp255(b.b + pInten_table[1]), 255);
pBlock_colors[2].set(clamp255(b.r + pInten_table[2]), clamp255(b.g + pInten_table[2]), clamp255(b.b + pInten_table[2]), 255);
pBlock_colors[3].set(clamp255(b.r + pInten_table[3]), clamp255(b.g + pInten_table[3]), clamp255(b.b + pInten_table[3]), 255);
}
static void get_block_color5(const color32& base_color5, uint32_t inten_table, uint32_t index, uint32_t& r, uint32_t &g, uint32_t &b)
{
assert(index < 4);
uint32_t br = (base_color5.r << 3) | (base_color5.r >> 2);
uint32_t bg = (base_color5.g << 3) | (base_color5.g >> 2);
uint32_t bb = (base_color5.b << 3) | (base_color5.b >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
r = clamp255(br + pInten_table[index]);
g = clamp255(bg + pInten_table[index]);
b = clamp255(bb + pInten_table[index]);
}
static void get_block_color5_r(const color32& base_color5, uint32_t inten_table, uint32_t index, uint32_t &r)
{
assert(index < 4);
uint32_t br = (base_color5.r << 3) | (base_color5.r >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
r = clamp255(br + pInten_table[index]);
}
static void get_block_colors5_g(int* pBlock_colors, const color32& base_color5, uint32_t inten_table)
{
const int g = (base_color5.g << 3) | (base_color5.g >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0] = clamp255(g + pInten_table[0]);
pBlock_colors[1] = clamp255(g + pInten_table[1]);
pBlock_colors[2] = clamp255(g + pInten_table[2]);
pBlock_colors[3] = clamp255(g + pInten_table[3]);
}
static void get_block_colors5_bounds(color32* pBlock_colors, const color32& base_color5, uint32_t inten_table, uint32_t l = 0, uint32_t h = 3)
{
color32 b(base_color5);
b.r = (b.r << 3) | (b.r >> 2);
b.g = (b.g << 3) | (b.g >> 2);
b.b = (b.b << 3) | (b.b >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0].set(clamp255(b.r + pInten_table[l]), clamp255(b.g + pInten_table[l]), clamp255(b.b + pInten_table[l]), 255);
pBlock_colors[1].set(clamp255(b.r + pInten_table[h]), clamp255(b.g + pInten_table[h]), clamp255(b.b + pInten_table[h]), 255);
}
static void get_block_colors5_bounds_g(uint32_t* pBlock_colors, const color32& base_color5, uint32_t inten_table, uint32_t l = 0, uint32_t h = 3)
{
color32 b(base_color5);
b.g = (b.g << 3) | (b.g >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0] = clamp255(b.g + pInten_table[l]);
pBlock_colors[1] = clamp255(b.g + pInten_table[h]);
}
};
enum dxt_constants
{
cDXT1SelectorBits = 2U, cDXT1SelectorValues = 1U << cDXT1SelectorBits, cDXT1SelectorMask = cDXT1SelectorValues - 1U,
cDXT5SelectorBits = 3U, cDXT5SelectorValues = 1U << cDXT5SelectorBits, cDXT5SelectorMask = cDXT5SelectorValues - 1U,
};
static const uint8_t g_etc1_x_selector_unpack[4][256] =
{
{
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
},
{
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
},
{
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
},
{
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
}
};
struct dxt1_block
{
enum { cTotalEndpointBytes = 2, cTotalSelectorBytes = 4 };
uint8_t m_low_color[cTotalEndpointBytes];
uint8_t m_high_color[cTotalEndpointBytes];
uint8_t m_selectors[cTotalSelectorBytes];
inline void clear() { basisu::clear_obj(*this); }
inline uint32_t get_high_color() const { return m_high_color[0] | (m_high_color[1] << 8U); }
inline uint32_t get_low_color() const { return m_low_color[0] | (m_low_color[1] << 8U); }
inline void set_low_color(uint16_t c) { m_low_color[0] = static_cast<uint8_t>(c & 0xFF); m_low_color[1] = static_cast<uint8_t>((c >> 8) & 0xFF); }
inline void set_high_color(uint16_t c) { m_high_color[0] = static_cast<uint8_t>(c & 0xFF); m_high_color[1] = static_cast<uint8_t>((c >> 8) & 0xFF); }
inline uint32_t get_selector(uint32_t x, uint32_t y) const { assert((x < 4U) && (y < 4U)); return (m_selectors[y] >> (x * cDXT1SelectorBits)) & cDXT1SelectorMask; }
inline void set_selector(uint32_t x, uint32_t y, uint32_t val) { assert((x < 4U) && (y < 4U) && (val < 4U)); m_selectors[y] &= (~(cDXT1SelectorMask << (x * cDXT1SelectorBits))); m_selectors[y] |= (val << (x * cDXT1SelectorBits)); }
static uint16_t pack_color(const color32& color, bool scaled, uint32_t bias = 127U)
{
uint32_t r = color.r, g = color.g, b = color.b;
if (scaled)
{
r = (r * 31U + bias) / 255U;
g = (g * 63U + bias) / 255U;
b = (b * 31U + bias) / 255U;
}
return static_cast<uint16_t>(basisu::minimum(b, 31U) | (basisu::minimum(g, 63U) << 5U) | (basisu::minimum(r, 31U) << 11U));
}
static uint16_t pack_unscaled_color(uint32_t r, uint32_t g, uint32_t b) { return static_cast<uint16_t>(b | (g << 5U) | (r << 11U)); }
};
struct dxt_selector_range
{
uint32_t m_low;
uint32_t m_high;
};
struct etc1_to_dxt1_56_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
#if BASISD_SUPPORT_DXT1
static dxt_selector_range g_etc1_to_dxt1_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1_TO_DXT1_SELECTOR_RANGES = sizeof(g_etc1_to_dxt1_selector_ranges) / sizeof(g_etc1_to_dxt1_selector_ranges[0]);
static uint32_t g_etc1_to_dxt1_selector_range_index[4][4];
const uint32_t NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1_to_dxt1_selector_mappings[NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 },
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
static uint8_t g_etc1_to_dxt1_selector_mappings_raw_dxt1_256[NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS][256];
static uint8_t g_etc1_to_dxt1_selector_mappings_raw_dxt1_inv_256[NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS][256];
static const etc1_to_dxt1_56_solution g_etc1_to_dxt_6[32 * 8 * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS * NUM_ETC1_TO_DXT1_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_dxt1_6.inc ****/
// Copyright (C) 2017-2019 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
{0,4,18},{0,3,4},{0,2,0},{0,2,9},{0,3,36},{0,2,22},{0,2,13},{0,1,24},{0,1,41},{0,1,25},{0,4,18},{0,3,4},{0,2,0},{0,2,9},{1,1,36},{0,2,22},{0,2,13},{0,1,24},{3,0,36},{0,1,24},{0,2,0},{0,2,0},{0,2,0},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,2,0},
{0,2,0},{0,2,0},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{1,0,2},{0,0,4},{2,0,18},{0,3,4},{0,2,0},{0,2,9},{2,0,18},{4,0,18},{0,2,9},{0,1,20},{4,0,18},{0,1,20},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,8,38},{1,6,21},{1,4,24},
{1,4,24},{0,8,52},{0,5,18},{0,4,1},{0,3,24},{0,4,77},{0,3,40},{2,6,22},{1,6,5},{2,4,4},{1,4,8},{4,0,52},{0,5,18},{0,4,1},{0,3,24},{8,0,52},{0,3,24},{1,6,20},{1,6,20},{1,6,20},{1,3,21},{0,6,8},{0,4,1},{0,4,1},{0,2,5},{0,3,24},{0,2,9},{2,4,4},{2,4,4},{2,4,4},{2,3,4},{3,0,8},
{1,3,1},{1,3,1},{1,2,4},{6,0,8},{1,2,4},{5,0,18},{1,6,1},{2,4,0},{0,4,0},{5,0,18},{10,0,18},{0,4,0},{0,3,20},{10,0,18},{0,3,20},{1,0,20},{1,0,20},{1,0,20},{1,0,20},{0,5,0},{0,5,0},{0,5,0},{0,2,1},{0,2,5},{0,2,5},{3,10,38},{3,8,21},{3,6,24},{3,6,24},{2,10,52},{2,7,18},{2,6,1},
{2,5,24},{0,7,53},{1,5,21},{4,8,22},{3,8,5},{4,6,4},{3,6,8},{7,0,52},{2,7,18},{2,6,1},{1,5,20},{14,0,52},{1,5,20},{3,8,20},{3,8,20},{3,8,20},{3,5,21},{2,8,8},{2,6,1},{2,6,1},{2,4,5},{0,6,8},{1,5,5},{4,6,4},{4,6,4},{4,6,4},{4,5,4},{6,0,8},{3,5,1},{3,5,1},{3,4,4},{12,0,8},
{3,4,4},{8,0,18},{3,8,1},{4,6,0},{2,6,0},{8,0,18},{16,0,18},{2,6,0},{0,5,20},{16,0,18},{0,5,20},{3,0,20},{3,0,20},{3,0,20},{3,0,20},{2,7,0},{2,7,0},{2,7,0},{2,4,1},{1,5,1},{1,5,1},{5,12,38},{5,10,21},{5,8,24},{5,8,24},{4,12,52},{4,9,18},{4,8,1},{4,7,24},{2,9,53},{3,7,21},{6,10,22},
{5,10,5},{6,8,4},{5,8,8},{2,16,51},{4,9,18},{4,8,1},{3,7,20},{20,0,51},{3,7,20},{5,10,20},{5,10,20},{5,10,20},{5,7,21},{4,10,8},{4,8,1},{4,8,1},{4,6,5},{2,8,8},{3,7,5},{6,8,4},{6,8,4},{6,8,4},{6,7,4},{9,0,8},{5,7,1},{5,7,1},{5,6,4},{18,0,8},{5,6,4},{11,0,18},{5,10,1},{6,8,0},
{4,8,0},{11,0,18},{22,0,18},{4,8,0},{0,7,20},{22,0,18},{0,7,20},{5,0,20},{5,0,20},{5,0,20},{5,0,20},{4,9,0},{4,9,0},{4,9,0},{4,6,1},{3,7,1},{3,7,1},{7,15,36},{7,12,19},{7,10,28},{7,10,20},{6,15,52},{6,11,22},{6,10,7},{6,9,28},{3,12,52},{5,9,27},{8,13,19},{8,11,3},{8,10,3},{8,10,6},{13,1,51},
{6,11,21},{7,10,3},{5,9,27},{27,0,51},{5,9,27},{7,12,19},{7,12,19},{7,12,19},{7,10,19},{6,13,9},{6,10,6},{6,10,6},{6,9,3},{5,10,9},{5,9,2},{8,10,2},{8,10,2},{8,10,2},{8,9,2},{12,1,8},{7,10,2},{7,10,2},{5,9,2},{25,0,8},{5,9,2},{14,1,18},{7,12,1},{8,10,2},{6,10,2},{14,1,18},{15,7,18},{6,10,2},
{0,9,26},{15,7,18},{0,9,26},{7,0,18},{7,0,18},{7,0,18},{7,0,18},{6,11,2},{6,11,2},{6,11,2},{6,9,2},{5,9,1},{5,9,1},{9,16,38},{9,14,19},{9,12,28},{9,12,20},{8,17,52},{8,13,22},{8,12,7},{8,11,28},{5,14,52},{7,11,27},{10,15,19},{10,13,3},{10,12,3},{10,12,6},{16,1,51},{8,13,21},{9,12,3},{7,11,27},{33,0,51},
{7,11,27},{9,14,19},{9,14,19},{9,14,19},{9,12,19},{8,15,9},{8,12,6},{8,12,6},{8,11,3},{7,12,9},{7,11,2},{10,12,2},{10,12,2},{10,12,2},{10,11,2},{15,1,8},{9,12,2},{9,12,2},{7,11,2},{31,0,8},{7,11,2},{17,0,18},{9,14,1},{10,12,2},{8,12,2},{17,0,18},{34,0,18},{8,12,2},{0,11,26},{34,0,18},{0,11,26},{9,0,18},
{9,0,18},{9,0,18},{9,0,18},{8,13,2},{8,13,2},{8,13,2},{8,11,2},{7,11,1},{7,11,1},{11,18,38},{11,16,19},{11,14,28},{11,14,20},{10,19,52},{10,15,22},{10,14,7},{10,13,28},{7,16,52},{9,13,27},{12,16,21},{12,15,3},{12,14,3},{12,14,6},{19,1,51},{10,15,21},{11,14,3},{9,13,27},{39,0,51},{9,13,27},{11,16,18},{11,16,18},{11,16,18},
{11,14,19},{10,17,9},{10,14,6},{10,14,6},{10,13,3},{9,14,9},{9,13,2},{12,14,2},{12,14,2},{12,14,2},{12,13,2},{15,7,8},{11,14,2},{11,14,2},{9,13,2},{31,3,8},{9,13,2},{20,0,18},{11,16,1},{12,14,2},{10,14,2},{20,0,18},{40,0,18},{10,14,2},{0,13,26},{40,0,18},{0,13,26},{11,0,18},{11,0,18},{11,0,18},{11,0,18},{10,15,2},
{10,15,2},{10,15,2},{10,13,2},{9,13,1},{9,13,1},{13,20,38},{13,18,19},{13,16,27},{13,16,19},{12,21,52},{12,17,19},{12,16,5},{12,15,28},{10,17,52},{11,15,27},{14,18,21},{14,17,3},{14,16,1},{13,16,10},{22,1,51},{12,17,18},{13,16,2},{11,15,27},{45,0,51},{11,15,27},{13,18,18},{13,18,18},{13,18,18},{13,16,19},{12,19,9},{12,16,5},{12,16,5},
{12,15,3},{10,16,11},{11,15,2},{14,16,1},{14,16,1},{14,16,1},{14,15,2},{15,13,8},{13,16,2},{13,16,2},{11,15,2},{31,6,8},{11,15,2},{23,0,18},{13,18,1},{14,16,0},{12,16,0},{23,0,18},{46,0,18},{12,16,0},{0,15,26},{46,0,18},{0,15,26},{13,0,18},{13,0,18},{13,0,18},{13,0,18},{12,17,1},{12,17,1},{12,17,1},{12,15,2},{11,15,1},
{11,15,1},{15,23,38},{15,20,21},{15,18,37},{15,18,21},{15,22,55},{15,19,23},{15,18,5},{14,17,30},{13,19,56},{13,17,28},{16,21,19},{16,19,3},{16,18,3},{16,18,6},{17,17,51},{15,19,19},{15,18,1},{14,17,26},{51,0,51},{14,17,26},{15,21,20},{15,21,20},{15,21,20},{15,18,20},{15,19,14},{15,18,4},{15,18,4},{14,17,5},{13,18,9},{13,17,3},{16,18,2},
{16,18,2},{16,18,2},{16,17,2},{24,1,8},{15,18,0},{15,18,0},{14,17,1},{49,0,8},{14,17,1},{26,1,18},{15,20,1},{16,18,2},{15,18,1},{26,1,18},{53,0,18},{15,18,1},{0,17,26},{53,0,18},{0,17,26},{15,0,20},{15,0,20},{15,0,20},{15,0,20},{15,18,4},{15,18,4},{15,18,4},{14,17,4},{13,17,2},{13,17,2},{17,25,36},{17,22,19},{17,20,28},
{17,20,20},{16,25,52},{16,21,22},{16,20,7},{16,19,28},{15,21,56},{15,19,28},{18,23,19},{18,21,3},{18,20,3},{18,20,6},{20,17,51},{16,21,21},{17,20,3},{14,20,26},{57,0,51},{14,20,26},{17,22,19},{17,22,19},{17,22,19},{17,20,19},{16,23,9},{16,20,6},{16,20,6},{16,19,3},{15,20,9},{15,19,3},{18,20,2},{18,20,2},{18,20,2},{18,19,2},{27,1,8},
{17,20,2},{17,20,2},{15,19,2},{55,0,8},{15,19,2},{29,1,18},{17,22,1},{18,20,2},{16,20,2},{29,1,18},{59,0,18},{16,20,2},{0,19,26},{59,0,18},{0,19,26},{17,0,18},{17,0,18},{17,0,18},{17,0,18},{16,21,2},{16,21,2},{16,21,2},{16,19,2},{15,19,2},{15,19,2},{19,27,36},{19,24,19},{19,22,28},{19,22,20},{18,27,52},{18,23,22},{18,22,7},
{18,21,28},{15,24,56},{17,21,27},{20,25,19},{20,23,3},{20,22,3},{20,22,6},{23,17,51},{18,23,21},{19,22,3},{17,21,27},{63,0,51},{17,21,27},{19,24,19},{19,24,19},{19,24,19},{19,22,19},{18,25,9},{18,22,6},{18,22,6},{18,21,3},{17,22,9},{17,21,2},{20,22,2},{20,22,2},{20,22,2},{20,21,2},{30,1,8},{19,22,2},{19,22,2},{17,21,2},{61,0,8},
{17,21,2},{31,3,18},{19,24,1},{20,22,2},{18,22,2},{31,3,18},{63,1,18},{18,22,2},{0,21,26},{63,1,18},{0,21,26},{19,0,18},{19,0,18},{19,0,18},{19,0,18},{18,23,2},{18,23,2},{18,23,2},{18,21,2},{17,21,1},{17,21,1},{21,29,36},{21,26,19},{21,24,28},{21,24,20},{20,29,52},{20,25,22},{20,24,7},{20,23,28},{17,26,52},{19,23,27},{22,27,19},
{22,25,3},{22,24,3},{22,24,6},{34,1,51},{20,25,21},{21,24,3},{19,23,27},{63,3,51},{19,23,27},{21,26,19},{21,26,19},{21,26,19},{21,24,19},{20,27,9},{20,24,6},{20,24,6},{20,23,3},{19,24,9},{19,23,2},{22,24,2},{22,24,2},{22,24,2},{22,23,2},{33,1,8},{21,24,2},{21,24,2},{19,23,2},{63,2,8},{19,23,2},{31,9,18},{21,26,1},{22,24,2},
{20,24,2},{31,9,18},{63,4,18},{20,24,2},{0,23,26},{63,4,18},{0,23,26},{21,0,18},{21,0,18},{21,0,18},{21,0,18},{20,25,2},{20,25,2},{20,25,2},{20,23,2},{19,23,1},{19,23,1},{23,31,40},{23,29,24},{23,27,33},{23,26,24},{23,30,55},{22,28,24},{23,26,8},{22,26,28},{20,28,51},{21,26,21},{24,29,20},{24,28,1},{24,27,4},{24,26,5},{38,0,51},
{22,28,20},{23,26,4},{20,26,20},{62,7,51},{20,26,20},{23,29,20},{23,29,20},{23,29,20},{23,26,20},{23,28,12},{23,26,4},{23,26,4},{22,25,4},{20,27,9},{22,25,4},{24,27,0},{24,27,0},{24,27,0},{24,26,1},{31,12,8},{23,26,0},{23,26,0},{22,25,0},{62,6,8},{22,25,0},{38,1,18},{24,28,1},{24,27,4},{23,26,4},{38,1,18},{45,16,18},{23,26,4},
{0,26,20},{45,16,18},{0,26,20},{23,0,20},{23,0,20},{23,0,20},{23,0,20},{23,26,4},{23,26,4},{23,26,4},{22,25,4},{21,26,1},{21,26,1},{25,33,38},{25,31,24},{25,29,33},{25,28,24},{25,32,55},{24,30,24},{25,28,8},{24,28,28},{22,30,51},{23,28,21},{26,31,20},{26,30,1},{26,29,4},{26,28,5},{41,0,51},{24,30,20},{25,28,4},{22,28,20},{62,10,51},
{22,28,20},{25,31,20},{25,31,20},{25,31,20},{25,28,20},{25,30,12},{25,28,4},{25,28,4},{24,27,4},{22,29,9},{24,27,4},{26,29,0},{26,29,0},{26,29,0},{26,28,1},{31,18,8},{25,28,0},{25,28,0},{24,27,0},{62,9,8},{24,27,0},{41,1,18},{26,30,1},{26,29,4},{25,28,4},{41,1,18},{51,16,18},{25,28,4},{0,28,20},{51,16,18},{0,28,20},{25,0,20},
{25,0,20},{25,0,20},{25,0,20},{25,28,4},{25,28,4},{25,28,4},{24,27,4},{23,28,1},{23,28,1},{27,35,38},{27,32,21},{27,31,33},{27,30,24},{27,34,55},{26,32,24},{27,30,8},{26,30,28},{25,31,56},{25,30,21},{28,33,18},{28,32,2},{28,31,4},{28,30,5},{44,0,51},{26,32,20},{27,30,4},{24,30,20},{62,13,51},{24,30,20},{27,33,20},{27,33,20},{27,33,20},
{27,30,20},{27,31,14},{27,30,4},{27,30,4},{26,29,4},{24,31,9},{26,29,4},{28,31,0},{28,31,0},{28,31,0},{28,30,1},{34,17,8},{27,30,0},{27,30,0},{26,29,0},{62,12,8},{26,29,0},{44,1,18},{27,32,1},{28,31,4},{27,30,4},{44,1,18},{57,16,18},{27,30,4},{0,30,20},{57,16,18},{0,30,20},{27,0,20},{27,0,20},{27,0,20},{27,0,20},{27,30,4},
{27,30,4},{27,30,4},{26,29,4},{25,30,1},{25,30,1},{29,37,38},{29,34,21},{29,32,37},{29,32,21},{29,36,55},{29,33,23},{29,32,5},{28,32,39},{27,33,56},{26,32,30},{30,35,18},{30,34,2},{30,32,2},{30,32,5},{47,0,51},{29,33,19},{29,32,1},{26,32,26},{46,24,51},{26,32,26},{29,35,20},{29,35,20},{29,35,20},{29,32,20},{29,33,14},{29,32,4},{29,32,4},
{28,31,4},{27,32,9},{28,31,4},{30,33,0},{30,33,0},{30,33,0},{30,31,4},{37,17,8},{29,32,0},{29,32,0},{28,31,0},{62,15,8},{28,31,0},{47,1,18},{29,34,1},{30,32,2},{29,32,1},{47,1,18},{63,16,18},{29,32,1},{0,32,26},{63,16,18},{0,32,26},{29,0,20},{29,0,20},{29,0,20},{29,0,20},{29,32,4},{29,32,4},{29,32,4},{28,31,4},{28,31,4},
{28,31,4},{31,40,44},{31,37,28},{32,35,40},{31,34,31},{31,38,53},{31,35,21},{31,34,7},{31,34,30},{28,36,51},{29,34,21},{32,37,20},{32,36,1},{32,35,4},{32,34,5},{50,0,51},{30,36,19},{31,34,6},{28,34,21},{62,19,51},{28,34,21},{31,38,26},{31,38,26},{31,38,26},{31,34,27},{31,36,9},{31,34,3},{31,34,3},{31,33,2},{29,34,10},{30,33,2},{32,35,0},
{32,35,0},{32,35,0},{32,34,1},{49,0,8},{31,34,2},{31,34,2},{30,33,1},{62,18,8},{30,33,1},{47,8,18},{32,36,1},{32,35,4},{31,34,5},{47,8,18},{62,20,18},{31,34,5},{0,34,20},{62,20,18},{0,34,20},{31,0,26},{31,0,26},{31,0,26},{31,0,26},{31,35,1},{31,35,1},{31,35,1},{31,33,2},{29,34,1},{29,34,1},{33,41,40},{33,39,24},{33,37,33},
{33,36,24},{33,40,55},{32,38,24},{33,36,8},{32,36,28},{30,38,51},{31,36,21},{34,39,20},{34,38,1},{34,37,4},{34,36,5},{53,0,51},{32,38,20},{33,36,4},{30,36,21},{62,22,51},{30,36,21},{33,39,20},{33,39,20},{33,39,20},{33,36,20},{33,38,12},{33,36,4},{33,36,4},{32,35,4},{31,36,10},{32,35,4},{34,37,0},{34,37,0},{34,37,0},{34,36,1},{52,0,8},
{33,36,0},{33,36,0},{32,35,0},{62,21,8},{32,35,0},{47,14,18},{34,38,1},{34,37,4},{33,36,4},{47,14,18},{62,23,18},{33,36,4},{0,36,20},{62,23,18},{0,36,20},{33,0,20},{33,0,20},{33,0,20},{33,0,20},{33,36,4},{33,36,4},{33,36,4},{32,35,4},{31,36,1},{31,36,1},{35,43,40},{35,41,24},{35,39,33},{35,38,24},{35,42,55},{34,40,24},{35,38,8},
{34,38,28},{32,40,51},{33,38,21},{36,41,20},{36,40,1},{36,39,4},{36,38,5},{56,0,51},{34,40,20},{35,38,4},{32,38,20},{62,25,51},{32,38,20},{35,41,20},{35,41,20},{35,41,20},{35,38,20},{35,40,12},{35,38,4},{35,38,4},{34,37,4},{32,39,9},{34,37,4},{36,39,0},{36,39,0},{36,39,0},{36,38,1},{55,0,8},{35,38,0},{35,38,0},{34,37,0},{62,24,8},
{34,37,0},{48,17,18},{36,40,1},{36,39,4},{35,38,4},{48,17,18},{62,26,18},{35,38,4},{0,38,20},{62,26,18},{0,38,20},{35,0,20},{35,0,20},{35,0,20},{35,0,20},{35,38,4},{35,38,4},{35,38,4},{34,37,4},{33,38,1},{33,38,1},{37,45,40},{37,43,24},{37,41,33},{37,40,24},{37,44,55},{36,42,24},{37,40,8},{36,40,28},{34,42,51},{35,40,21},{38,43,20},
{38,42,1},{38,41,4},{38,40,5},{59,0,51},{36,42,20},{37,40,4},{34,40,20},{62,28,51},{34,40,20},{37,43,20},{37,43,20},{37,43,20},{37,40,20},{37,42,12},{37,40,4},{37,40,4},{36,39,4},{34,41,9},{36,39,4},{38,41,0},{38,41,0},{38,41,0},{38,40,1},{58,0,8},{37,40,0},{37,40,0},{36,39,0},{62,27,8},{36,39,0},{51,17,18},{38,42,1},{38,41,4},
{37,40,4},{51,17,18},{62,29,18},{37,40,4},{0,40,20},{62,29,18},{0,40,20},{37,0,20},{37,0,20},{37,0,20},{37,0,20},{37,40,4},{37,40,4},{37,40,4},{36,39,4},{35,40,1},{35,40,1},{40,46,44},{40,44,27},{40,43,28},{39,43,28},{39,47,52},{39,44,22},{39,43,3},{38,42,28},{36,44,53},{37,42,19},{40,46,19},{40,44,2},{40,43,3},{40,42,10},{62,1,51},
{38,44,19},{39,43,2},{37,42,18},{63,31,51},{37,42,18},{40,44,26},{40,44,26},{40,44,26},{40,42,26},{39,44,11},{39,43,2},{39,43,2},{39,41,2},{37,43,11},{38,41,3},{40,44,1},{40,44,1},{40,44,1},{40,42,1},{53,16,8},{40,42,1},{40,42,1},{39,41,1},{63,30,8},{39,41,1},{63,0,18},{40,44,1},{40,43,2},{38,43,1},{63,0,18},{62,32,18},{38,43,1},
{0,42,18},{62,32,18},{0,42,18},{39,0,26},{39,0,26},{39,0,26},{39,0,26},{39,43,1},{39,43,1},{39,43,1},{39,41,1},{37,42,1},{37,42,1},{42,48,44},{42,46,27},{42,45,28},{41,45,28},{41,48,53},{41,46,22},{41,45,3},{40,44,28},{38,46,53},{39,44,19},{42,48,19},{42,46,2},{42,45,3},{42,44,10},{63,5,51},{40,46,19},{41,45,2},{39,44,18},{47,42,51},
{39,44,18},{42,46,26},{42,46,26},{42,46,26},{42,44,26},{41,46,11},{41,45,2},{41,45,2},{41,43,2},{39,45,11},{40,43,3},{42,46,1},{42,46,1},{42,46,1},{42,44,1},{56,16,8},{42,44,1},{42,44,1},{41,43,1},{62,33,8},{41,43,1},{63,6,18},{42,46,1},{42,45,2},{40,45,1},{63,6,18},{62,35,18},{40,45,1},{0,44,18},{62,35,18},{0,44,18},{41,0,26},
{41,0,26},{41,0,26},{41,0,26},{41,45,1},{41,45,1},{41,45,1},{41,43,1},{39,44,1},{39,44,1},{44,50,44},{44,48,26},{44,47,28},{43,47,28},{43,50,53},{43,47,27},{43,47,3},{42,46,28},{40,48,51},{41,46,19},{44,50,19},{44,48,1},{44,47,3},{44,46,10},{63,11,51},{42,48,19},{43,47,2},{41,46,18},{47,45,51},{41,46,18},{44,48,26},{44,48,26},{44,48,26},
{44,46,26},{43,48,9},{43,47,2},{43,47,2},{43,45,2},{41,47,11},{42,45,3},{44,48,1},{44,48,1},{44,48,1},{44,46,1},{59,16,8},{44,46,1},{44,46,1},{43,45,1},{62,36,8},{43,45,1},{63,12,18},{44,48,0},{44,47,2},{42,47,1},{63,12,18},{62,38,18},{42,47,1},{0,46,18},{62,38,18},{0,46,18},{43,0,26},{43,0,26},{43,0,26},{43,0,26},{43,47,1},
{43,47,1},{43,47,1},{43,45,1},{41,46,1},{41,46,1},{46,52,44},{46,50,26},{46,49,31},{45,48,31},{45,52,53},{45,49,21},{45,48,7},{45,48,30},{42,50,51},{43,48,21},{46,52,19},{46,50,1},{46,49,6},{46,48,6},{55,32,51},{44,50,19},{45,48,6},{42,48,21},{46,48,51},{42,48,21},{46,50,26},{46,50,26},{46,50,26},{45,48,27},{45,50,9},{45,48,3},{45,48,3},
{45,47,2},{43,48,10},{44,47,3},{46,50,1},{46,50,1},{46,50,1},{46,48,2},{62,16,8},{45,48,2},{45,48,2},{45,47,1},{62,39,8},{45,47,1},{63,18,18},{46,50,0},{47,48,4},{45,48,5},{63,18,18},{62,41,18},{45,48,5},{0,48,20},{62,41,18},{0,48,20},{45,0,26},{45,0,26},{45,0,26},{45,0,26},{45,49,1},{45,49,1},{45,49,1},{45,47,1},{43,48,1},
{43,48,1},{48,54,44},{48,52,27},{48,51,28},{48,50,35},{47,55,51},{47,52,21},{47,51,3},{47,50,22},{45,52,52},{45,50,19},{48,54,19},{48,52,2},{48,51,3},{48,50,10},{63,23,51},{47,52,21},{47,51,3},{45,50,18},{63,43,51},{45,50,18},{48,52,26},{48,52,26},{48,52,26},{48,50,26},{47,53,8},{47,51,2},{47,51,2},{47,49,1},{45,51,8},{46,49,5},{48,52,1},
{48,52,1},{48,52,1},{48,50,1},{63,21,8},{48,50,1},{48,50,1},{47,49,1},{63,42,8},{47,49,1},{63,25,18},{48,52,1},{48,51,2},{46,51,1},{63,25,18},{63,44,18},{46,51,1},{0,50,18},{63,44,18},{0,50,18},{48,0,26},{48,0,26},{48,0,26},{48,0,26},{47,51,1},{47,51,1},{47,51,1},{47,49,0},{45,50,1},{45,50,1},{50,56,44},{50,54,27},{50,53,28},
{49,53,28},{49,57,52},{49,54,22},{49,53,3},{48,52,28},{47,54,52},{47,52,19},{50,56,19},{50,54,2},{50,53,3},{50,52,10},{63,29,51},{48,54,19},{49,53,2},{47,52,18},{63,46,51},{47,52,18},{50,54,26},{50,54,26},{50,54,26},{50,52,26},{49,54,11},{49,53,2},{49,53,2},{49,51,2},{47,53,8},{48,51,3},{50,54,1},{50,54,1},{50,54,1},{50,52,1},{63,27,8},
{50,52,1},{50,52,1},{49,51,1},{63,45,8},{49,51,1},{63,31,18},{50,54,1},{50,53,2},{48,53,1},{63,31,18},{63,47,18},{48,53,1},{0,52,18},{63,47,18},{0,52,18},{49,0,26},{49,0,26},{49,0,26},{49,0,26},{49,53,1},{49,53,1},{49,53,1},{49,51,1},{47,52,1},{47,52,1},{52,58,44},{52,56,27},{52,55,28},{51,55,28},{51,59,52},{51,56,22},{51,55,3},
{50,54,28},{48,56,53},{49,54,19},{52,58,19},{52,56,2},{52,55,3},{52,54,10},{63,35,51},{50,56,19},{51,55,2},{49,54,18},{63,49,51},{49,54,18},{52,56,26},{52,56,26},{52,56,26},{52,54,26},{51,56,11},{51,55,2},{51,55,2},{51,53,2},{49,55,11},{50,53,3},{52,56,1},{52,56,1},{52,56,1},{52,54,1},{63,33,8},{52,54,1},{52,54,1},{51,53,1},{47,56,8},
{51,53,1},{57,48,18},{52,56,1},{52,55,2},{50,55,1},{57,48,18},{62,50,18},{50,55,1},{0,54,18},{62,50,18},{0,54,18},{51,0,26},{51,0,26},{51,0,26},{51,0,26},{51,55,1},{51,55,1},{51,55,1},{51,53,1},{49,54,1},{49,54,1},{54,60,44},{54,58,27},{54,57,28},{53,57,28},{53,61,52},{53,58,22},{53,57,3},{52,56,28},{50,58,53},{51,56,19},{54,60,19},
{54,58,2},{54,57,3},{54,56,10},{63,41,51},{52,58,19},{53,57,2},{51,56,18},{63,52,51},{51,56,18},{54,58,26},{54,58,26},{54,58,26},{54,56,26},{53,58,11},{53,57,2},{53,57,2},{53,55,2},{51,57,11},{52,55,3},{54,58,1},{54,58,1},{54,58,1},{54,56,1},{63,39,8},{54,56,1},{54,56,1},{53,55,1},{47,59,8},{53,55,1},{60,48,18},{54,58,1},{54,57,2},
{52,57,1},{60,48,18},{62,53,18},{52,57,1},{0,56,18},{62,53,18},{0,56,18},{53,0,26},{53,0,26},{53,0,26},{53,0,26},{53,57,1},{53,57,1},{53,57,1},{53,55,1},{51,56,1},{51,56,1},{56,63,38},{56,61,21},{56,59,24},{56,59,24},{55,63,52},{55,60,18},{55,59,1},{55,58,24},{53,60,53},{54,58,21},{57,61,22},{56,61,5},{57,59,4},{56,59,8},{63,47,52},
{55,60,18},{55,59,1},{54,58,20},{63,55,52},{54,58,20},{56,61,20},{56,61,20},{56,61,20},{56,58,21},{55,61,8},{55,59,1},{55,59,1},{55,57,5},{53,59,8},{54,58,5},{57,59,4},{57,59,4},{57,59,4},{57,58,4},{61,49,8},{56,58,1},{56,58,1},{56,57,4},{63,54,8},{56,57,4},{63,49,18},{56,61,1},{57,59,0},{55,59,0},{63,49,18},{63,56,18},{55,59,0},
{0,58,20},{63,56,18},{0,58,20},{56,0,20},{56,0,20},{56,0,20},{56,0,20},{55,60,0},{55,60,0},{55,60,0},{55,57,1},{54,58,1},{54,58,1},{58,63,56},{58,63,21},{58,61,24},{58,61,24},{58,63,68},{57,62,18},{57,61,1},{57,60,24},{55,62,53},{56,60,21},{59,63,22},{58,63,5},{59,61,4},{58,61,8},{63,53,52},{57,62,18},{57,61,1},{56,60,20},{63,58,52},
{56,60,20},{58,63,20},{58,63,20},{58,63,20},{58,60,21},{57,63,8},{57,61,1},{57,61,1},{57,59,5},{55,61,8},{56,60,5},{59,61,4},{59,61,4},{59,61,4},{59,60,4},{63,51,8},{58,60,1},{58,60,1},{58,59,4},{63,57,8},{58,59,4},{63,55,18},{58,63,1},{59,61,0},{57,61,0},{63,55,18},{63,59,18},{57,61,0},{0,60,20},{63,59,18},{0,60,20},{58,0,20},
{58,0,20},{58,0,20},{58,0,20},{57,62,0},{57,62,0},{57,62,0},{57,59,1},{56,60,1},{56,60,1},{60,63,88},{60,63,40},{60,63,24},{60,63,24},{60,63,88},{59,63,37},{59,63,1},{59,62,24},{58,63,63},{58,62,21},{61,63,40},{61,63,13},{61,63,4},{60,63,8},{63,59,52},{60,63,24},{59,63,1},{58,62,20},{63,61,52},{58,62,20},{60,63,24},{60,63,24},{60,63,24},
{60,62,21},{60,63,24},{59,63,1},{59,63,1},{59,61,5},{57,63,8},{58,62,5},{61,63,4},{61,63,4},{61,63,4},{61,62,4},{63,57,8},{60,62,1},{60,62,1},{60,61,4},{63,60,8},{60,61,4},{63,61,18},{61,63,9},{61,63,0},{59,63,0},{63,61,18},{63,62,18},{59,63,0},{0,62,20},{63,62,18},{0,62,20},{60,0,20},{60,0,20},{60,0,20},{60,0,20},{59,63,1},
{59,63,1},{59,63,1},{59,61,1},{58,62,1},{58,62,1},{62,63,38},{62,63,33},{62,63,29},{62,63,24},{62,63,35},{62,63,25},{62,63,21},{61,63,1},{61,63,23},{60,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{62,63,0},{63,63,4},{62,63,0},{62,63,29},{62,63,29},{62,63,29},{62,63,24},{62,63,26},{62,63,21},{62,63,21},
{61,63,1},{61,63,14},{60,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,62,4},{63,63,4},{63,63,4},{62,63,0},{62,63,4},{62,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{62,0,20},{62,0,20},{62,0,20},{62,0,20},{61,63,16},{61,63,16},{61,63,16},{61,63,1},{60,63,4},
{60,63,4},{0,8,74},{0,6,10},{0,4,1},{0,4,26},{0,6,154},{0,4,99},{0,3,50},{0,2,115},{0,3,170},{0,2,119},{0,8,74},{0,6,10},{0,4,1},{0,4,26},{3,0,154},{0,4,99},{0,3,50},{0,2,115},{6,0,154},{0,2,115},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,2,13},{0,2,4},{0,2,4},{0,1,5},{0,1,14},{0,1,6},{0,4,0},
{0,4,0},{0,4,0},{0,2,0},{1,0,13},{0,2,4},{0,2,4},{0,1,5},{2,0,13},{0,1,5},{4,0,74},{0,6,10},{0,4,1},{0,4,26},{4,0,74},{8,0,74},{0,4,26},{0,3,74},{8,0,74},{0,3,74},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,14,83},{0,10,10},{1,6,27},
{0,6,19},{0,11,243},{0,7,110},{0,5,34},{0,4,139},{0,5,280},{0,4,164},{1,12,75},{1,9,2},{1,6,11},{1,6,18},{5,1,243},{0,7,110},{0,5,34},{0,4,139},{11,0,243},{0,4,139},{0,10,9},{0,10,9},{0,10,9},{0,5,9},{0,6,50},{0,5,9},{0,5,9},{0,3,26},{0,3,66},{0,2,33},{1,8,1},{1,8,1},{1,8,1},{1,4,2},{3,0,50},
{0,5,9},{0,5,9},{0,3,26},{6,0,50},{0,3,26},{7,0,74},{1,9,1},{2,6,1},{0,6,10},{7,0,74},{14,0,74},{0,6,10},{0,5,74},{14,0,74},{0,5,74},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,2},{0,1,2},{1,18,137},{1,12,74},{2,9,98},{1,8,67},{0,16,244},{0,10,78},{0,8,2},
{0,6,115},{0,8,344},{0,6,179},{3,14,75},{3,11,2},{3,8,11},{3,8,18},{8,1,243},{0,10,78},{0,8,2},{0,6,115},{15,1,243},{0,6,115},{1,14,65},{1,14,65},{1,14,65},{1,7,66},{0,12,50},{0,8,1},{0,8,1},{0,5,5},{0,5,104},{0,5,41},{3,10,1},{3,10,1},{3,10,1},{3,6,2},{6,0,50},{0,8,1},{0,8,1},{0,5,5},{12,0,50},
{0,5,5},{2,16,72},{3,11,1},{4,8,1},{0,8,1},{2,16,72},{20,0,72},{0,8,1},{0,7,74},{20,0,72},{0,7,74},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,3,25},{0,3,25},{3,20,146},{3,14,83},{4,11,115},{3,10,76},{2,18,245},{2,12,79},{2,10,3},{1,8,108},{0,11,293},{0,8,103},{5,16,73},
{5,13,2},{5,10,11},{5,10,18},{11,1,243},{1,13,75},{2,10,2},{0,8,94},{15,4,243},{0,8,94},{3,16,74},{3,16,74},{3,16,74},{3,9,75},{2,14,51},{2,10,2},{2,10,2},{2,7,6},{0,9,75},{0,7,6},{5,12,1},{5,12,1},{5,12,1},{5,8,2},{9,0,50},{2,10,1},{2,10,1},{0,7,2},{18,0,50},{0,7,2},{5,16,72},{5,13,1},{6,10,1},
{2,10,1},{5,16,72},{26,0,72},{2,10,1},{0,9,74},{26,0,72},{0,9,74},{3,0,74},{3,0,74},{3,0,74},{3,0,74},{2,10,2},{2,10,2},{2,10,2},{2,6,2},{0,7,5},{0,7,5},{6,21,152},{6,16,82},{6,13,109},{5,12,84},{4,21,243},{4,15,78},{4,13,8},{4,11,108},{0,14,255},{0,11,77},{7,19,72},{7,15,1},{7,13,8},{7,12,13},{6,17,243},
{3,15,72},{5,12,5},{0,11,73},{29,0,243},{0,11,73},{6,16,81},{6,16,81},{6,16,81},{5,12,80},{4,17,50},{4,13,4},{4,13,4},{4,9,5},{0,12,52},{1,10,4},{7,15,0},{7,15,0},{7,15,0},{7,11,0},{12,1,50},{5,12,1},{5,12,1},{3,9,4},{25,0,50},{3,9,4},{16,1,72},{7,15,1},{8,13,4},{5,12,4},{16,1,72},{33,0,72},{5,12,4},
{0,11,72},{33,0,72},{0,11,72},{5,0,80},{5,0,80},{5,0,80},{5,0,80},{4,13,0},{4,13,0},{4,13,0},{4,9,1},{1,10,0},{1,10,0},{8,23,152},{8,18,82},{8,15,109},{7,14,84},{6,23,243},{6,16,75},{6,15,8},{6,13,108},{1,17,244},{2,13,77},{9,21,72},{9,17,1},{9,15,8},{9,14,13},{17,1,243},{5,17,72},{7,14,5},{1,13,72},{35,0,243},
{1,13,72},{8,18,81},{8,18,81},{8,18,81},{7,14,80},{6,19,50},{6,15,4},{6,15,4},{6,11,5},{2,14,52},{3,12,4},{9,16,1},{9,16,1},{9,16,1},{9,13,0},{15,1,50},{7,14,1},{7,14,1},{5,11,4},{31,0,50},{5,11,4},{19,1,72},{9,17,1},{10,15,4},{7,14,4},{19,1,72},{39,0,72},{7,14,4},{0,13,72},{39,0,72},{0,13,72},{7,0,80},
{7,0,80},{7,0,80},{7,0,80},{6,15,0},{6,15,0},{6,15,0},{6,11,1},{3,12,0},{3,12,0},{10,25,152},{10,20,82},{10,17,114},{9,16,82},{8,25,243},{8,18,75},{8,16,2},{8,15,108},{3,19,244},{4,15,77},{11,23,72},{11,19,1},{11,16,10},{11,16,17},{20,1,243},{7,19,72},{8,16,2},{3,15,72},{41,0,243},{3,15,72},{10,20,81},{10,20,81},{10,20,81},
{10,15,81},{8,21,50},{8,16,1},{8,16,1},{8,13,5},{4,16,52},{5,14,4},{11,18,1},{11,18,1},{11,18,1},{11,15,0},{15,7,50},{8,16,1},{8,16,1},{7,13,4},{31,3,50},{7,13,4},{22,1,72},{11,19,1},{12,16,2},{8,16,1},{22,1,72},{45,0,72},{8,16,1},{0,15,72},{45,0,72},{0,15,72},{9,0,80},{9,0,80},{9,0,80},{9,0,80},{8,17,0},
{8,17,0},{8,17,0},{8,13,1},{5,14,0},{5,14,0},{12,27,152},{12,22,82},{12,19,114},{11,18,82},{10,27,243},{10,20,75},{10,18,2},{10,16,106},{5,21,244},{6,17,79},{13,25,72},{13,21,1},{13,18,10},{13,18,17},{23,1,243},{9,21,72},{10,18,2},{5,17,74},{47,0,243},{5,17,74},{12,22,81},{12,22,81},{12,22,81},{12,17,80},{10,23,50},{10,18,1},{10,18,1},
{10,15,5},{6,18,52},{8,15,9},{13,20,1},{13,20,1},{13,20,1},{13,17,1},{15,13,50},{10,18,1},{10,18,1},{9,15,4},{31,6,50},{9,15,4},{25,1,72},{13,21,1},{14,18,2},{10,18,1},{25,1,72},{47,2,72},{10,18,1},{0,17,74},{47,2,72},{0,17,74},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,19,0},{10,19,0},{10,19,0},{10,15,1},{7,16,0},
{7,16,0},{14,30,146},{14,24,78},{14,21,114},{14,20,79},{12,30,244},{12,23,79},{12,21,7},{12,19,109},{7,23,244},{9,19,76},{15,28,73},{15,23,2},{15,21,14},{15,20,14},{27,0,243},{11,23,75},{13,20,4},{7,19,73},{46,4,243},{7,19,73},{14,25,74},{14,25,74},{14,25,74},{14,19,75},{12,25,53},{12,21,3},{12,21,3},{12,17,6},{8,21,52},{9,18,6},{15,23,1},
{15,23,1},{15,23,1},{15,19,1},{24,1,50},{13,20,0},{13,20,0},{11,17,5},{49,0,50},{11,17,5},{20,17,72},{15,23,1},{16,21,4},{13,20,4},{20,17,72},{57,0,72},{13,20,4},{0,19,72},{57,0,72},{0,19,72},{14,0,74},{14,0,74},{14,0,74},{14,0,74},{12,22,1},{12,22,1},{12,22,1},{12,17,2},{9,18,2},{9,18,2},{16,31,152},{16,26,81},{16,23,109},
{16,22,88},{14,32,244},{14,25,79},{14,23,7},{14,21,109},{9,25,244},{11,21,76},{17,29,72},{17,25,1},{17,23,8},{17,22,13},{30,0,243},{13,25,75},{15,22,4},{9,21,73},{46,7,243},{9,21,73},{16,27,80},{16,27,80},{16,27,80},{16,21,81},{14,27,53},{14,23,3},{14,23,3},{14,19,6},{10,23,52},{11,20,6},{17,25,0},{17,25,0},{17,25,0},{17,21,0},{27,1,50},
{15,22,0},{15,22,0},{13,19,5},{55,0,50},{13,19,5},{23,17,72},{17,25,1},{18,23,4},{15,22,4},{23,17,72},{63,0,72},{15,22,4},{0,21,72},{63,0,72},{0,21,72},{16,0,80},{16,0,80},{16,0,80},{16,0,80},{14,24,1},{14,24,1},{14,24,1},{14,19,2},{11,20,2},{11,20,2},{18,33,152},{18,28,81},{18,25,109},{17,24,84},{16,33,243},{16,27,78},{16,25,8},
{16,23,108},{11,27,244},{13,23,76},{19,31,72},{19,27,1},{19,25,8},{19,24,13},{32,1,243},{15,27,75},{17,24,5},{11,23,73},{46,10,243},{11,23,73},{18,29,80},{18,29,80},{18,29,80},{17,24,80},{16,29,50},{16,25,4},{16,25,4},{16,21,5},{12,25,52},{13,22,6},{19,27,0},{19,27,0},{19,27,0},{19,23,0},{30,1,50},{17,24,1},{17,24,1},{15,21,5},{61,0,50},
{15,21,5},{34,1,72},{19,27,1},{20,25,4},{17,24,4},{34,1,72},{63,3,72},{17,24,4},{0,23,72},{63,3,72},{0,23,72},{17,0,80},{17,0,80},{17,0,80},{17,0,80},{16,25,0},{16,25,0},{16,25,0},{16,21,1},{13,22,2},{13,22,2},{20,35,152},{20,30,81},{20,27,109},{19,26,84},{18,35,243},{18,29,78},{18,27,8},{18,25,108},{13,29,244},{15,25,76},{21,33,72},
{21,29,1},{21,27,8},{21,26,13},{35,1,243},{17,29,72},{19,26,5},{13,25,73},{46,13,243},{13,25,73},{20,31,80},{20,31,80},{20,31,80},{19,26,80},{18,31,50},{18,27,4},{18,27,4},{18,23,5},{14,27,52},{15,24,6},{21,29,0},{21,29,0},{21,29,0},{21,25,0},{33,1,50},{19,26,1},{19,26,1},{17,23,4},{63,2,50},{17,23,4},{37,1,72},{21,29,1},{22,27,4},
{19,26,4},{37,1,72},{63,6,72},{19,26,4},{0,25,72},{63,6,72},{0,25,72},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,27,0},{18,27,0},{18,27,0},{18,23,1},{15,24,2},{15,24,2},{22,38,146},{22,32,78},{22,29,111},{22,28,84},{20,38,244},{20,31,74},{20,29,4},{20,27,100},{14,32,247},{17,27,75},{23,36,73},{23,32,3},{23,29,11},{23,28,14},{39,0,243},
{20,31,73},{20,29,3},{16,27,74},{62,8,243},{16,27,74},{22,33,74},{22,33,74},{22,33,74},{22,28,75},{20,33,53},{20,29,3},{20,29,3},{20,25,10},{16,29,50},{18,26,2},{23,31,2},{23,31,2},{23,31,2},{23,27,2},{31,12,50},{21,28,1},{21,28,1},{18,26,1},{62,6,50},{18,26,1},{41,0,72},{23,32,2},{24,29,2},{19,29,2},{41,0,72},{62,10,72},{19,29,2},
{0,27,74},{62,10,72},{0,27,74},{22,0,74},{22,0,74},{22,0,74},{22,0,74},{20,30,1},{20,30,1},{20,30,1},{20,25,1},{18,26,1},{18,26,1},{24,40,146},{24,34,78},{24,31,111},{24,30,84},{22,40,244},{22,33,79},{22,31,4},{22,29,100},{17,33,244},{19,29,75},{25,38,73},{25,33,2},{25,31,11},{25,30,14},{42,0,243},{21,33,75},{22,31,3},{18,29,74},{62,11,243},
{18,29,74},{24,35,74},{24,35,74},{24,35,74},{24,30,75},{22,35,53},{22,31,3},{22,31,3},{22,27,10},{18,31,50},{20,28,2},{25,33,1},{25,33,1},{25,33,1},{25,29,2},{31,18,50},{23,30,1},{23,30,1},{20,28,1},{62,9,50},{20,28,1},{44,0,72},{25,33,1},{26,31,2},{21,31,2},{44,0,72},{62,13,72},{21,31,2},{0,29,74},{62,13,72},{0,29,74},{24,0,74},
{24,0,74},{24,0,74},{24,0,74},{22,32,1},{22,32,1},{22,32,1},{22,27,1},{20,28,1},{20,28,1},{26,42,146},{26,36,78},{26,33,114},{26,32,79},{24,42,244},{24,35,79},{24,33,7},{24,31,100},{19,35,244},{21,31,75},{27,40,73},{27,35,2},{28,33,13},{27,32,14},{45,0,243},{23,35,75},{25,32,4},{20,31,74},{62,14,243},{20,31,74},{26,37,74},{26,37,74},{26,37,74},
{26,32,75},{24,37,53},{24,33,3},{24,33,3},{24,29,10},{20,33,52},{22,30,2},{27,35,1},{27,35,1},{27,35,1},{27,31,2},{34,17,50},{25,32,0},{25,32,0},{22,30,1},{62,12,50},{22,30,1},{47,0,72},{27,35,1},{28,33,4},{25,32,4},{47,0,72},{46,24,72},{25,32,4},{0,31,74},{46,24,72},{0,31,74},{26,0,74},{26,0,74},{26,0,74},{26,0,74},{24,34,1},
{24,34,1},{24,34,1},{24,29,1},{22,30,1},{22,30,1},{28,44,146},{28,38,78},{28,35,114},{28,34,79},{26,44,244},{26,37,79},{26,35,7},{26,33,109},{21,37,244},{23,33,76},{29,42,73},{29,37,2},{30,35,13},{29,34,14},{47,2,243},{25,37,75},{27,34,4},{21,33,73},{62,17,243},{21,33,73},{28,39,74},{28,39,74},{28,39,74},{28,33,75},{26,39,53},{26,35,3},{26,35,3},
{26,31,10},{22,35,52},{23,32,6},{29,37,1},{29,37,1},{29,37,1},{29,33,1},{37,17,50},{27,34,0},{27,34,0},{23,32,5},{62,15,50},{23,32,5},{49,1,72},{29,37,1},{30,35,4},{27,34,4},{49,1,72},{46,27,72},{27,34,4},{0,33,72},{46,27,72},{0,33,72},{28,0,74},{28,0,74},{28,0,74},{28,0,74},{26,36,1},{26,36,1},{26,36,1},{26,31,1},{23,32,2},
{23,32,2},{30,46,146},{30,41,77},{31,37,121},{30,36,81},{29,45,247},{28,39,77},{28,37,9},{28,35,103},{24,39,248},{25,35,76},{31,44,78},{31,40,4},{32,37,11},{31,36,17},{51,0,243},{28,39,73},{28,37,5},{24,35,74},{47,28,243},{24,35,74},{30,42,72},{30,42,72},{30,42,72},{30,36,72},{29,40,54},{29,36,6},{29,36,6},{28,34,9},{24,37,51},{26,34,2},{31,40,4},
{31,40,4},{31,40,4},{31,35,5},{49,0,50},{29,36,2},{29,36,2},{26,34,1},{62,18,50},{26,34,1},{53,0,72},{31,40,0},{32,37,2},{28,37,1},{53,0,72},{62,22,72},{28,37,1},{0,35,74},{62,22,72},{0,35,74},{30,0,72},{30,0,72},{30,0,72},{30,0,72},{29,36,5},{29,36,5},{29,36,5},{28,33,4},{26,34,1},{26,34,1},{32,48,146},{32,42,79},{32,39,111},
{32,38,84},{31,47,247},{30,41,77},{30,39,9},{30,37,103},{26,41,248},{27,37,76},{33,46,73},{33,42,3},{33,39,11},{33,38,14},{54,0,243},{30,41,73},{30,39,5},{26,37,74},{47,31,243},{26,37,74},{32,43,75},{32,43,75},{32,43,75},{32,38,75},{31,42,54},{31,38,6},{31,38,6},{30,36,9},{26,39,51},{28,36,2},{33,41,2},{33,41,2},{33,41,2},{33,37,2},{52,0,50},
{31,38,2},{31,38,2},{28,36,1},{62,21,50},{28,36,1},{56,0,72},{33,42,2},{34,39,2},{30,39,1},{56,0,72},{62,25,72},{30,39,1},{0,37,74},{62,25,72},{0,37,74},{32,0,74},{32,0,74},{32,0,74},{32,0,74},{31,38,5},{31,38,5},{31,38,5},{30,35,4},{28,36,1},{28,36,1},{34,50,146},{34,44,79},{34,41,111},{34,40,84},{32,50,244},{32,43,74},{32,41,4},
{32,39,100},{28,43,248},{29,39,76},{35,48,73},{35,44,3},{35,41,11},{35,40,14},{57,0,243},{32,43,73},{32,41,3},{28,39,74},{50,32,243},{28,39,74},{34,45,75},{34,45,75},{34,45,75},{34,40,75},{32,46,51},{32,41,3},{32,41,3},{32,37,10},{28,41,51},{30,38,2},{35,43,2},{35,43,2},{35,43,2},{35,39,2},{55,0,50},{33,40,1},{33,40,1},{30,38,1},{62,24,50},
{30,38,1},{59,0,72},{35,44,2},{36,41,2},{31,41,2},{59,0,72},{62,28,72},{31,41,2},{0,39,74},{62,28,72},{0,39,74},{34,0,74},{34,0,74},{34,0,74},{34,0,74},{32,42,1},{32,42,1},{32,42,1},{32,37,1},{30,38,1},{30,38,1},{36,52,146},{36,46,79},{36,43,111},{36,42,84},{34,52,244},{34,45,74},{34,43,4},{34,41,100},{30,45,248},{31,41,76},{37,50,73},
{37,46,3},{37,43,11},{37,42,14},{60,0,243},{34,45,73},{34,43,3},{30,41,74},{56,32,243},{30,41,74},{36,47,75},{36,47,75},{36,47,75},{36,42,75},{34,47,53},{34,43,3},{34,43,3},{34,39,10},{30,43,51},{32,40,2},{37,45,2},{37,45,2},{37,45,2},{37,41,2},{58,0,50},{35,42,1},{35,42,1},{32,40,1},{62,27,50},{32,40,1},{62,0,72},{37,46,2},{38,43,2},
{33,43,2},{62,0,72},{62,31,72},{33,43,2},{0,41,74},{62,31,72},{0,41,74},{36,0,74},{36,0,74},{36,0,74},{36,0,74},{34,44,1},{34,44,1},{34,44,1},{34,39,1},{32,40,1},{32,40,1},{38,54,146},{38,49,77},{39,45,120},{38,45,76},{37,53,247},{36,47,78},{37,45,5},{36,43,100},{31,48,243},{33,43,81},{40,50,78},{39,48,4},{40,45,8},{39,45,20},{63,1,243},
{36,47,74},{37,45,1},{33,43,80},{63,32,243},{33,43,80},{38,50,72},{38,50,72},{38,50,72},{38,44,72},{37,48,54},{37,45,5},{37,45,5},{36,42,8},{32,45,53},{34,42,1},{40,46,4},{40,46,4},{40,46,4},{40,43,4},{53,16,50},{37,45,1},{37,45,1},{35,42,0},{63,30,50},{35,42,0},{63,5,72},{39,48,0},{41,45,1},{36,45,0},{63,5,72},{47,42,72},{36,45,0},
{0,43,80},{47,42,72},{0,43,80},{38,0,72},{38,0,72},{38,0,72},{38,0,72},{37,45,4},{37,45,4},{37,45,4},{37,41,4},{34,42,1},{34,42,1},{40,56,146},{40,51,77},{41,47,120},{40,47,76},{39,55,247},{38,49,77},{39,47,5},{38,45,100},{34,49,248},{35,45,81},{42,52,78},{41,50,4},{42,47,8},{41,47,20},{63,7,243},{38,49,73},{39,47,1},{35,45,80},{63,35,243},
{35,45,80},{40,52,72},{40,52,72},{40,52,72},{40,46,72},{39,50,54},{39,47,5},{39,47,5},{38,44,8},{34,47,53},{36,44,1},{42,48,4},{42,48,4},{42,48,4},{42,45,4},{56,16,50},{39,47,1},{39,47,1},{37,44,0},{62,33,50},{37,44,0},{63,11,72},{41,50,0},{43,47,1},{38,47,0},{63,11,72},{47,45,72},{38,47,0},{0,45,80},{47,45,72},{0,45,80},{40,0,72},
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{48,54,4},{48,54,4},{48,51,4},{63,21,50},{45,53,1},{45,53,1},{43,50,0},{63,42,50},{43,50,0},{63,29,72},{47,56,2},{49,53,1},{44,53,1},{63,29,72},{63,46,72},{44,53,1},{0,51,80},{63,46,72},{0,51,80},{46,0,74},{46,0,74},{46,0,74},{46,0,74},{45,53,1},{45,53,1},{45,53,1},{45,49,1},{42,50,1},{42,50,1},{48,63,152},{48,59,77},{49,55,120},
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{47,55,1},{47,55,1},{45,52,0},{63,45,50},{45,52,0},{63,35,72},{49,58,0},{51,55,1},{46,55,1},{63,35,72},{63,49,72},{46,55,1},{0,53,80},{63,49,72},{0,53,80},{48,0,72},{48,0,72},{48,0,72},{48,0,72},{47,55,1},{47,55,1},{47,55,1},{47,51,1},{44,52,1},{44,52,1},{51,63,184},{50,61,77},{51,57,120},{50,57,76},{49,63,268},{48,59,78},{49,57,5},
{48,55,100},{43,60,243},{46,55,82},{52,63,76},{51,60,4},{52,57,8},{51,57,20},{63,37,243},{48,59,74},{49,57,1},{45,55,80},{63,50,243},{45,55,80},{50,62,72},{50,62,72},{50,62,72},{50,56,72},{49,60,56},{49,57,5},{49,57,5},{48,54,8},{45,57,51},{46,54,1},{52,58,4},{52,58,4},{52,58,4},{52,55,4},{63,33,50},{49,57,1},{49,57,1},{47,54,0},{47,56,50},
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{53,62,4},{54,59,8},{53,59,20},{63,43,243},{49,62,73},{51,59,1},{47,57,80},{63,53,243},{47,57,80},{52,63,76},{52,63,76},{52,63,76},{52,58,72},{51,62,56},{51,59,5},{51,59,5},{50,56,8},{47,59,51},{48,56,1},{54,60,4},{54,60,4},{54,60,4},{54,57,4},{63,39,50},{51,59,1},{51,59,1},{49,56,0},{47,59,50},{49,56,0},{63,47,72},{53,62,0},{55,59,1},
{50,59,0},{63,47,72},{63,55,72},{50,59,0},{0,57,80},{63,55,72},{0,57,80},{52,0,72},{52,0,72},{52,0,72},{52,0,72},{51,59,4},{51,59,4},{51,59,4},{51,55,4},{48,56,1},{48,56,1},{56,63,314},{55,63,115},{55,62,115},{54,61,76},{54,63,364},{53,63,79},{53,61,3},{52,59,108},{48,63,252},{49,60,79},{57,63,115},{56,63,10},{56,61,11},{56,61,18},{63,50,243},
{53,63,78},{53,61,2},{47,60,75},{62,57,243},{47,60,75},{54,63,99},{54,63,99},{54,63,99},{54,60,75},{53,63,69},{53,61,2},{53,61,2},{53,58,6},{49,61,51},{50,58,6},{56,63,1},{56,63,1},{56,63,1},{56,59,2},{61,49,50},{53,61,1},{53,61,1},{51,58,2},{63,54,50},{51,58,2},{63,53,74},{56,63,9},{57,61,1},{53,61,1},{63,53,74},{63,58,74},{53,61,1},
{0,60,74},{63,58,74},{0,60,74},{54,0,74},{54,0,74},{54,0,74},{54,0,74},{53,61,2},{53,61,2},{53,61,2},{53,57,2},{50,59,2},{50,59,2},{57,63,371},{57,63,179},{57,63,115},{56,63,75},{57,63,387},{55,63,123},{55,63,2},{54,61,91},{52,63,286},{51,62,70},{59,63,146},{58,63,59},{58,63,10},{58,63,17},{63,55,221},{57,63,98},{55,63,1},{49,62,66},{63,59,221},
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{56,0,74},{56,0,74},{56,0,74},{55,63,2},{55,63,2},{55,63,2},{55,59,2},{52,61,2},{52,61,2},{60,63,259},{59,63,190},{59,63,154},{58,63,90},{59,63,270},{58,63,91},{57,63,35},{57,62,22},{56,63,194},{54,63,11},{61,63,70},{60,63,42},{60,63,26},{60,63,2},{63,59,94},{60,63,42},{59,63,13},{53,63,10},{63,61,94},{53,63,10},{59,63,154},{59,63,154},{59,63,154},
{58,63,90},{58,63,147},{57,63,35},{57,63,35},{57,62,6},{55,63,77},{54,62,6},{60,63,26},{60,63,26},{60,63,26},{60,63,2},{63,57,50},{59,63,13},{59,63,13},{55,62,2},{63,60,50},{55,62,2},{63,62,5},{62,63,4},{62,63,0},{61,63,0},{63,62,5},{62,63,5},{61,63,0},{0,63,9},{62,63,5},{0,63,9},{58,0,74},{58,0,74},{58,0,74},{58,0,74},{57,63,10},
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{59,63,2},{58,63,62},{57,63,10},{62,63,10},{62,63,10},{62,63,10},{62,63,5},{63,61,13},{62,63,8},{62,63,8},{59,63,1},{63,62,13},{59,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{60,0,74},{60,0,74},{60,0,74},{60,0,74},{60,63,34},{60,63,34},{60,63,34},{59,63,2},{57,63,10},
{57,63,10},{0,14,202},{0,10,25},{0,7,1},{0,6,74},{0,10,441},{0,6,282},{0,5,133},{0,4,318},{0,5,477},{0,4,343},{0,14,202},{0,10,25},{0,7,1},{0,6,74},{5,0,441},{0,6,282},{0,5,133},{0,4,318},{10,0,441},{0,4,318},{0,7,0},{0,7,0},{0,7,0},{0,3,1},{0,3,41},{0,3,17},{0,3,17},{0,2,26},{0,2,45},{0,1,30},{0,7,0},
{0,7,0},{0,7,0},{0,3,1},{2,0,41},{0,3,17},{0,3,17},{0,2,26},{3,0,41},{0,2,26},{7,0,202},{0,10,25},{0,7,1},{0,6,74},{7,0,202},{14,0,202},{0,6,74},{0,5,202},{14,0,202},{0,5,202},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,20,200},{0,14,1},{0,10,25},
{0,8,41},{0,14,686},{0,9,362},{0,8,141},{0,5,467},{0,6,762},{0,5,503},{0,20,200},{0,14,1},{0,10,25},{0,8,41},{7,0,686},{0,9,362},{0,8,141},{0,5,467},{14,0,686},{0,5,467},{0,13,0},{0,13,0},{0,13,0},{0,6,1},{0,6,145},{0,5,52},{0,5,52},{0,3,89},{0,3,161},{0,3,105},{0,13,0},{0,13,0},{0,13,0},{0,6,1},{3,0,145},
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{4,17,5},{4,14,26},{3,13,35},{13,0,723},{0,16,236},{0,13,6},{0,10,339},{14,6,723},{0,10,339},{2,21,113},{2,21,113},{2,21,113},{2,11,114},{0,18,162},{0,12,2},{0,12,2},{0,7,34},{0,8,280},{0,7,115},{4,17,1},{4,17,1},{4,17,1},{4,10,2},{9,0,162},{0,12,2},{0,12,2},{0,7,34},{18,0,162},{0,7,34},{16,0,200},{3,18,2},{6,13,1},
{0,13,2},{16,0,200},{32,0,200},{0,13,2},{0,11,202},{32,0,200},{0,11,202},{2,0,113},{2,0,113},{2,0,113},{2,0,113},{0,11,1},{0,11,1},{0,11,1},{0,6,1},{0,5,40},{0,5,40},{4,31,408},{4,22,216},{4,16,317},{3,15,216},{1,30,723},{1,19,216},{1,15,9},{0,12,312},{0,15,1000},{0,12,440},{6,27,200},{6,20,1},{7,16,29},{5,15,36},{16,0,723},
{0,19,203},{2,15,5},{0,12,296},{32,0,723},{0,12,296},{4,23,209},{4,23,209},{4,23,209},{4,14,208},{1,23,162},{1,16,4},{1,16,4},{1,10,20},{0,11,294},{0,10,89},{6,19,1},{6,19,1},{6,19,1},{6,13,0},{12,1,162},{2,15,1},{2,15,1},{0,10,8},{25,0,162},{0,10,8},{19,1,200},{6,20,1},{8,15,5},{2,15,4},{19,1,200},{39,0,200},{2,15,4},
{0,13,200},{39,0,200},{0,13,200},{3,0,208},{3,0,208},{3,0,208},{3,0,208},{1,16,0},{1,16,0},{1,16,0},{1,9,1},{0,8,45},{0,8,45},{6,33,408},{6,24,216},{6,18,317},{5,17,213},{3,32,723},{3,21,216},{3,17,2},{2,14,312},{0,18,888},{0,14,293},{8,29,200},{8,22,1},{9,17,26},{8,17,37},{19,0,723},{1,22,200},{3,17,2},{0,14,257},{38,0,723},
{0,14,257},{6,25,209},{6,25,209},{6,25,209},{5,16,208},{3,25,162},{3,17,1},{3,17,1},{3,12,20},{0,15,228},{0,12,20},{8,21,1},{8,21,1},{8,21,1},{8,15,0},{15,1,162},{3,17,1},{3,17,1},{0,12,4},{31,0,162},{0,12,4},{22,1,200},{8,22,1},{10,17,2},{3,17,1},{22,1,200},{45,0,200},{3,17,1},{0,15,200},{45,0,200},{0,15,200},{5,0,208},
{5,0,208},{5,0,208},{5,0,208},{3,18,0},{3,18,0},{3,18,0},{3,11,1},{0,11,13},{0,11,13},{8,35,408},{8,26,216},{8,20,317},{7,19,213},{5,34,723},{5,23,216},{5,19,2},{4,16,298},{0,22,804},{0,16,228},{10,31,200},{10,24,1},{11,19,26},{10,19,37},{22,0,723},{3,24,200},{5,19,2},{0,16,227},{44,0,723},{0,16,227},{8,27,209},{8,27,209},{8,27,209},
{7,18,208},{5,27,162},{5,19,1},{5,19,1},{5,14,20},{0,18,180},{0,15,4},{10,23,1},{10,23,1},{10,23,1},{10,17,1},{15,7,162},{5,19,1},{5,19,1},{2,14,4},{31,3,162},{2,14,4},{25,1,200},{10,24,1},{12,19,2},{5,19,1},{25,1,200},{47,2,200},{5,19,1},{0,17,202},{47,2,200},{0,17,202},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{5,20,0},
{5,20,0},{5,20,0},{5,13,1},{0,15,0},{0,15,0},{10,37,408},{10,28,216},{10,22,317},{9,21,213},{7,36,723},{7,25,216},{7,21,2},{6,18,298},{0,25,748},{1,19,218},{12,33,200},{12,26,1},{13,21,26},{12,21,37},{25,0,723},{5,26,200},{7,21,2},{0,19,211},{50,0,723},{0,19,211},{10,29,209},{10,29,209},{10,29,209},{9,20,208},{7,29,162},{7,21,1},{7,21,1},
{7,16,17},{0,21,164},{3,16,3},{12,25,1},{12,25,1},{12,25,1},{12,19,1},{15,13,162},{7,21,1},{7,21,1},{4,16,1},{31,6,162},{4,16,1},{28,1,200},{12,26,1},{14,21,2},{7,21,1},{28,1,200},{47,5,200},{7,21,1},{0,19,202},{47,5,200},{0,19,202},{9,0,208},{9,0,208},{9,0,208},{9,0,208},{7,22,0},{7,22,0},{7,22,0},{7,15,1},{2,17,0},
{2,17,0},{12,39,404},{12,30,212},{13,24,318},{12,23,215},{9,39,724},{9,27,212},{9,24,7},{8,20,306},{0,28,724},{3,21,210},{14,35,203},{14,28,2},{15,24,22},{14,23,30},{28,1,723},{7,28,203},{10,23,4},{0,21,201},{47,5,723},{0,21,201},{12,32,202},{12,32,202},{12,32,202},{12,22,202},{9,31,165},{9,24,3},{9,24,3},{9,18,14},{2,24,164},{4,19,6},{14,28,1},
{14,28,1},{14,28,1},{14,21,1},{24,1,162},{10,23,0},{10,23,0},{6,18,5},{49,0,162},{6,18,5},{23,17,200},{14,28,1},{16,24,4},{10,23,4},{23,17,200},{63,0,200},{10,23,4},{0,21,200},{63,0,200},{0,21,200},{12,0,202},{12,0,202},{12,0,202},{12,0,202},{9,25,1},{9,25,1},{9,25,1},{9,17,2},{4,19,2},{4,19,2},{14,41,404},{14,32,215},{15,26,318},
{14,25,215},{11,41,724},{11,29,212},{11,26,7},{10,22,306},{2,30,724},{5,23,210},{16,37,200},{16,30,1},{17,26,24},{16,25,40},{31,1,723},{9,30,203},{12,25,4},{2,23,201},{47,8,723},{2,23,201},{14,34,202},{14,34,202},{14,34,202},{14,24,202},{11,33,163},{11,26,3},{11,26,3},{11,20,14},{4,26,164},{6,21,6},{16,30,0},{16,30,0},{16,30,0},{16,23,0},{27,1,162},
{12,25,0},{12,25,0},{8,20,5},{55,0,162},{8,20,5},{34,1,200},{16,30,1},{18,26,4},{12,25,4},{34,1,200},{63,3,200},{12,25,4},{0,23,200},{63,3,200},{0,23,200},{14,0,202},{14,0,202},{14,0,202},{14,0,202},{11,27,1},{11,27,1},{11,27,1},{11,19,2},{6,21,2},{6,21,2},{16,43,408},{16,34,216},{16,28,312},{16,27,221},{13,43,724},{13,31,212},{13,28,7},
{12,24,306},{4,32,724},{7,25,210},{18,39,200},{18,32,1},{19,28,24},{17,27,36},{34,0,723},{11,32,201},{14,27,4},{4,25,201},{47,11,723},{4,25,201},{16,35,209},{16,35,209},{16,35,209},{16,26,208},{13,35,163},{13,28,3},{13,28,3},{13,22,14},{6,28,164},{8,23,6},{18,31,1},{18,31,1},{18,31,1},{18,25,0},{30,1,162},{14,27,0},{14,27,0},{10,22,5},{61,0,162},
{10,22,5},{37,1,200},{18,32,1},{20,28,4},{14,27,4},{37,1,200},{63,6,200},{14,27,4},{0,25,200},{63,6,200},{0,25,200},{16,0,208},{16,0,208},{16,0,208},{16,0,208},{13,29,1},{13,29,1},{13,29,1},{13,21,2},{8,23,2},{8,23,2},{18,45,408},{18,36,216},{18,30,312},{17,29,216},{15,45,724},{15,33,210},{15,30,7},{14,26,306},{6,34,724},{9,27,210},{20,41,200},
{20,34,1},{21,30,24},{19,29,36},{37,0,723},{13,34,201},{16,29,5},{6,27,201},{47,14,723},{6,27,201},{18,37,209},{18,37,209},{18,37,209},{18,28,208},{15,37,163},{15,30,3},{15,30,3},{15,24,14},{8,30,164},{10,25,6},{20,33,1},{20,33,1},{20,33,1},{20,27,0},{33,1,162},{16,29,1},{16,29,1},{12,24,5},{63,2,162},{12,24,5},{40,1,200},{20,34,1},{22,30,4},
{16,29,4},{40,1,200},{63,9,200},{16,29,4},{0,27,200},{63,9,200},{0,27,200},{17,0,208},{17,0,208},{17,0,208},{17,0,208},{15,31,1},{15,31,1},{15,31,1},{15,23,2},{10,25,2},{10,25,2},{20,47,404},{20,38,212},{21,32,318},{20,31,215},{17,47,724},{17,35,212},{17,32,7},{16,29,308},{8,36,724},{11,29,210},{22,44,201},{22,36,2},{23,32,22},{22,31,35},{40,1,723},
{15,36,206},{17,32,6},{9,29,202},{63,9,723},{9,29,202},{20,40,202},{20,40,202},{20,40,202},{20,30,203},{17,39,165},{17,32,3},{17,32,3},{17,26,19},{10,32,164},{13,27,2},{22,36,1},{22,36,1},{22,36,1},{22,29,2},{31,12,162},{18,31,1},{18,31,1},{13,27,1},{62,6,162},{13,27,1},{44,0,200},{22,36,1},{24,32,4},{16,32,4},{44,0,200},{62,13,200},{16,32,4},
{0,29,202},{62,13,200},{0,29,202},{20,0,202},{20,0,202},{20,0,202},{20,0,202},{17,33,1},{17,33,1},{17,33,1},{17,25,1},{13,27,1},{13,27,1},{22,49,404},{22,40,212},{23,34,318},{22,33,215},{19,49,724},{19,37,212},{19,34,7},{18,31,308},{10,38,724},{13,31,210},{24,46,201},{24,38,2},{25,34,22},{24,33,30},{43,1,723},{17,38,203},{20,33,4},{11,31,202},{63,12,723},
{11,31,202},{22,42,202},{22,42,202},{22,42,202},{22,32,202},{19,41,165},{19,34,3},{19,34,3},{19,28,19},{12,34,164},{15,29,2},{24,38,1},{24,38,1},{24,38,1},{24,31,2},{31,18,162},{20,33,0},{20,33,0},{15,29,1},{62,9,162},{15,29,1},{47,0,200},{24,38,1},{26,34,4},{20,33,4},{47,0,200},{46,24,200},{20,33,4},{0,31,202},{46,24,200},{0,31,202},{22,0,202},
{22,0,202},{22,0,202},{22,0,202},{19,35,1},{19,35,1},{19,35,1},{19,27,1},{15,29,1},{15,29,1},{24,51,404},{24,42,212},{25,36,318},{24,35,215},{21,51,724},{21,39,212},{21,36,7},{20,32,306},{12,40,724},{15,33,213},{26,47,203},{26,40,2},{27,36,22},{26,35,30},{46,1,723},{19,40,203},{22,35,4},{13,33,200},{63,15,723},{13,33,200},{24,44,202},{24,44,202},{24,44,202},
{24,34,202},{21,43,165},{21,36,3},{21,36,3},{21,30,19},{14,36,164},{17,31,2},{26,40,1},{26,40,1},{26,40,1},{26,33,1},{34,17,162},{22,35,0},{22,35,0},{17,31,1},{62,12,162},{17,31,1},{49,1,200},{26,40,1},{28,36,4},{22,35,4},{49,1,200},{46,27,200},{22,35,4},{0,33,200},{46,27,200},{0,33,200},{24,0,202},{24,0,202},{24,0,202},{24,0,202},{21,37,1},
{21,37,1},{21,37,1},{21,29,1},{17,31,1},{17,31,1},{26,53,404},{26,44,212},{27,38,318},{26,37,215},{23,53,724},{23,41,212},{23,38,7},{22,34,306},{14,42,724},{17,35,210},{28,49,203},{28,42,2},{29,38,22},{28,37,30},{47,5,723},{21,42,203},{24,37,4},{15,35,200},{63,18,723},{15,35,200},{26,46,202},{26,46,202},{26,46,202},{26,36,202},{23,45,165},{23,38,3},{23,38,3},
{23,32,14},{16,38,164},{18,33,6},{28,42,1},{28,42,1},{28,42,1},{28,35,1},{37,17,162},{24,37,0},{24,37,0},{20,32,5},{62,15,162},{20,32,5},{52,1,200},{28,42,1},{30,38,4},{24,37,4},{52,1,200},{46,30,200},{24,37,4},{0,35,200},{46,30,200},{0,35,200},{26,0,202},{26,0,202},{26,0,202},{26,0,202},{23,39,1},{23,39,1},{23,39,1},{23,31,1},{18,33,2},
{18,33,2},{28,56,400},{28,46,216},{29,40,314},{28,39,213},{26,53,728},{25,44,215},{25,40,9},{25,37,306},{17,44,728},{19,37,210},{31,50,204},{30,45,4},{31,40,21},{30,39,29},{52,1,723},{24,44,201},{25,40,5},{17,37,202},{46,30,723},{17,37,202},{28,49,200},{28,49,200},{28,49,200},{28,38,201},{26,46,166},{26,39,6},{26,39,6},{25,34,17},{18,40,163},{21,35,2},{31,43,4},
{31,43,4},{31,43,4},{31,37,4},{49,0,162},{26,39,2},{26,39,2},{21,35,1},{62,18,162},{21,35,1},{56,0,200},{30,45,0},{32,40,2},{25,40,1},{56,0,200},{62,25,200},{25,40,1},{0,37,202},{62,25,200},{0,37,202},{28,0,200},{28,0,200},{28,0,200},{28,0,200},{26,39,5},{26,39,5},{26,39,5},{25,33,4},{21,35,1},{21,35,1},{30,58,400},{30,48,217},{31,42,314},
{30,41,213},{28,55,728},{27,46,215},{27,42,9},{27,39,306},{19,46,728},{21,39,210},{32,54,201},{32,47,3},{33,42,19},{32,41,35},{55,1,723},{26,46,201},{27,42,5},{19,39,202},{47,32,723},{19,39,202},{30,51,200},{30,51,200},{30,51,200},{30,40,201},{28,48,166},{28,41,6},{28,41,6},{27,36,17},{20,42,163},{23,37,2},{32,46,2},{32,46,2},{32,46,2},{32,39,2},{52,0,162},
{28,41,2},{28,41,2},{23,37,1},{62,21,162},{23,37,1},{59,0,200},{32,47,2},{34,42,2},{27,42,1},{59,0,200},{62,28,200},{27,42,1},{0,39,202},{62,28,200},{0,39,202},{30,0,200},{30,0,200},{30,0,200},{30,0,200},{28,41,5},{28,41,5},{28,41,5},{27,35,4},{23,37,1},{23,37,1},{32,60,402},{32,50,212},{32,44,324},{32,43,215},{30,57,728},{29,47,216},{29,44,9},
{29,41,306},{20,48,724},{23,41,210},{34,56,201},{34,48,2},{35,44,19},{34,43,35},{58,1,723},{28,48,201},{29,44,5},{21,41,202},{53,32,723},{21,41,202},{32,52,202},{32,52,202},{32,52,202},{32,42,203},{30,50,166},{30,43,6},{30,43,6},{29,38,17},{22,44,163},{25,39,2},{34,48,1},{34,48,1},{34,48,1},{34,41,2},{55,0,162},{30,43,2},{30,43,2},{25,39,1},{62,24,162},
{25,39,1},{62,0,200},{34,48,1},{36,44,2},{29,44,1},{62,0,200},{62,31,200},{29,44,1},{0,41,202},{62,31,200},{0,41,202},{32,0,202},{32,0,202},{32,0,202},{32,0,202},{30,43,5},{30,43,5},{30,43,5},{29,37,4},{25,39,1},{25,39,1},{34,62,402},{34,52,212},{34,46,324},{34,45,215},{31,61,728},{31,49,210},{31,46,9},{31,43,306},{22,50,724},{25,43,210},{36,58,201},
{36,50,2},{37,46,19},{36,45,35},{61,1,723},{30,50,201},{31,46,5},{23,43,202},{59,32,723},{23,43,202},{34,54,202},{34,54,202},{34,54,202},{34,44,203},{31,54,166},{31,46,8},{31,46,8},{31,40,17},{24,46,163},{27,41,2},{36,50,1},{36,50,1},{36,50,1},{36,43,2},{58,0,162},{32,45,1},{32,45,1},{27,41,1},{62,27,162},{27,41,1},{63,4,200},{36,50,1},{38,46,2},
{31,46,1},{63,4,200},{62,34,200},{31,46,1},{0,43,202},{62,34,200},{0,43,202},{34,0,202},{34,0,202},{34,0,202},{34,0,202},{31,47,5},{31,47,5},{31,47,5},{31,39,4},{27,41,1},{27,41,1},{36,63,408},{36,54,216},{37,48,314},{36,47,217},{34,62,727},{33,52,215},{33,48,9},{32,45,308},{24,53,723},{28,45,217},{39,58,206},{38,53,4},{39,48,21},{38,47,36},{63,4,723},
{32,52,201},{33,48,5},{26,45,208},{62,34,723},{26,45,208},{36,57,200},{36,57,200},{36,57,200},{36,47,201},{34,54,166},{33,48,8},{33,48,8},{33,43,20},{26,48,163},{29,43,1},{39,51,4},{39,51,4},{39,51,4},{39,45,4},{53,16,162},{35,47,4},{35,47,4},{30,43,0},{63,30,162},{30,43,0},{63,11,200},{38,53,0},{40,48,2},{33,48,1},{63,11,200},{47,45,200},{33,48,1},
{0,45,208},{47,45,200},{0,45,208},{36,0,200},{36,0,200},{36,0,200},{36,0,200},{34,47,5},{34,47,5},{34,47,5},{34,41,4},{29,43,1},{29,43,1},{39,63,440},{38,56,216},{39,50,314},{38,49,213},{36,63,728},{35,54,215},{35,50,9},{34,47,308},{26,55,723},{30,47,217},{41,60,206},{40,55,4},{41,50,21},{40,49,29},{63,10,723},{34,54,201},{35,50,5},{28,47,208},{62,37,723},
{28,47,208},{38,59,200},{38,59,200},{38,59,200},{38,48,201},{36,56,166},{36,49,6},{36,49,6},{35,45,20},{28,50,163},{31,45,1},{41,53,4},{41,53,4},{41,53,4},{41,47,4},{56,16,162},{36,49,2},{36,49,2},{32,45,0},{62,33,162},{32,45,0},{55,32,200},{40,55,0},{42,50,2},{35,50,1},{55,32,200},{46,48,200},{35,50,1},{0,47,208},{46,48,200},{0,47,208},{38,0,200},
{38,0,200},{38,0,200},{38,0,200},{36,49,5},{36,49,5},{36,49,5},{36,43,4},{31,45,1},{31,45,1},{41,63,482},{40,58,216},{41,52,314},{40,51,213},{39,63,760},{37,56,215},{37,52,9},{37,49,306},{28,57,723},{31,49,215},{43,62,206},{42,57,4},{43,52,21},{42,51,29},{63,16,723},{36,56,201},{37,52,5},{29,49,203},{62,40,723},{29,49,203},{40,61,200},{40,61,200},{40,61,200},
{40,50,201},{38,58,166},{38,51,6},{38,51,6},{37,47,20},{30,52,163},{33,47,1},{43,55,4},{43,55,4},{43,55,4},{43,49,4},{59,16,162},{38,51,2},{38,51,2},{34,47,0},{62,36,162},{34,47,0},{58,32,200},{42,57,0},{44,52,2},{37,52,1},{58,32,200},{52,48,200},{37,52,1},{0,49,202},{52,48,200},{0,49,202},{40,0,200},{40,0,200},{40,0,200},{40,0,200},{38,51,5},
{38,51,5},{38,51,5},{38,45,4},{33,47,1},{33,47,1},{43,63,530},{42,60,216},{43,54,314},{42,53,213},{41,63,799},{39,58,215},{39,54,9},{39,51,306},{30,59,723},{33,51,210},{45,63,212},{44,59,4},{45,54,21},{44,53,29},{63,22,723},{38,58,201},{39,54,5},{31,51,203},{62,43,723},{31,51,203},{42,63,200},{42,63,200},{42,63,200},{42,52,201},{40,60,166},{40,53,6},{40,53,6},
{39,48,17},{32,54,163},{35,49,2},{45,57,4},{45,57,4},{45,57,4},{45,51,4},{62,16,162},{40,53,2},{40,53,2},{35,49,1},{62,39,162},{35,49,1},{61,32,200},{44,59,0},{46,54,2},{39,54,1},{61,32,200},{58,48,200},{39,54,1},{0,51,202},{58,48,200},{0,51,202},{42,0,200},{42,0,200},{42,0,200},{42,0,200},{40,53,5},{40,53,5},{40,53,5},{40,47,4},{35,49,1},
{35,49,1},{46,63,626},{44,63,222},{45,57,315},{44,56,211},{44,63,869},{41,60,213},{42,56,2},{41,53,298},{32,61,723},{36,53,217},{48,63,244},{47,60,5},{47,56,26},{46,55,34},{61,32,723},{40,60,202},{42,56,1},{34,53,208},{58,48,723},{34,53,208},{44,63,218},{44,63,218},{44,63,218},{44,55,203},{42,63,163},{42,56,2},{42,56,2},{41,51,25},{35,56,163},{37,51,1},{47,60,1},
{47,60,1},{47,60,1},{47,53,2},{63,21,162},{42,56,1},{42,56,1},{38,51,0},{63,42,162},{38,51,0},{63,35,200},{46,61,2},{49,56,1},{41,56,1},{63,35,200},{63,49,200},{41,56,1},{0,53,208},{63,49,200},{0,53,208},{44,0,202},{44,0,202},{44,0,202},{44,0,202},{42,56,1},{42,56,1},{42,56,1},{42,49,1},{37,51,1},{37,51,1},{48,63,728},{47,63,238},{47,59,315},
{46,58,211},{46,63,937},{43,62,213},{44,58,2},{43,55,298},{34,63,723},{38,55,217},{50,63,286},{48,63,4},{49,58,20},{48,57,36},{63,34,723},{42,62,202},{44,58,1},{36,55,208},{62,49,723},{36,55,208},{47,63,234},{47,63,234},{47,63,234},{46,57,203},{44,63,181},{44,58,2},{44,58,2},{43,53,25},{37,58,163},{39,53,1},{49,61,4},{49,61,4},{49,61,4},{49,55,4},{63,27,162},
{44,58,1},{44,58,1},{40,53,0},{63,45,162},{40,53,0},{63,41,200},{48,63,0},{51,58,1},{43,58,1},{63,41,200},{63,52,200},{43,58,1},{0,55,208},{63,52,200},{0,55,208},{46,0,202},{46,0,202},{46,0,202},{46,0,202},{44,58,1},{44,58,1},{44,58,1},{44,51,1},{39,53,1},{39,53,1},{50,63,866},{49,63,317},{49,61,312},{48,60,216},{48,63,1048},{46,63,219},{46,60,2},
{45,57,298},{38,63,748},{40,57,217},{53,63,350},{51,63,20},{51,60,20},{50,59,36},{63,40,723},{46,63,218},{46,60,1},{38,57,208},{62,52,723},{38,57,208},{48,63,264},{48,63,264},{48,63,264},{48,59,201},{47,63,205},{46,60,2},{46,60,2},{45,55,25},{39,60,163},{41,55,1},{51,63,4},{51,63,4},{51,63,4},{51,57,4},{63,33,162},{46,60,1},{46,60,1},{42,55,0},{47,56,162},
{42,55,0},{63,47,200},{52,63,13},{53,60,1},{45,60,1},{63,47,200},{63,55,200},{45,60,1},{0,57,208},{63,55,200},{0,57,208},{48,0,200},{48,0,200},{48,0,200},{48,0,200},{46,60,1},{46,60,1},{46,60,1},{46,53,1},{41,55,1},{41,55,1},{53,63,1026},{51,63,440},{51,63,312},{50,62,216},{51,63,1144},{48,63,280},{48,62,5},{47,59,298},{43,63,827},{42,59,217},{55,63,428},
{54,63,100},{53,62,20},{52,61,36},{63,46,723},{49,63,266},{48,62,1},{40,59,208},{62,55,723},{40,59,208},{51,63,296},{51,63,296},{51,63,296},{50,61,201},{49,63,248},{48,62,5},{48,62,5},{47,57,25},{41,62,163},{43,57,1},{53,63,13},{53,63,13},{53,63,13},{53,59,4},{63,39,162},{48,62,1},{48,62,1},{44,57,0},{47,59,162},{44,57,0},{63,53,200},{55,63,53},{55,62,1},
{47,62,1},{63,53,200},{63,58,200},{47,62,1},{0,59,208},{63,58,200},{0,59,208},{50,0,200},{50,0,200},{50,0,200},{50,0,200},{48,62,4},{48,62,4},{48,62,4},{48,55,4},{43,57,1},{43,57,1},{54,63,955},{54,63,523},{53,63,362},{52,63,202},{54,63,1027},{51,63,283},{50,63,14},{49,60,198},{47,63,735},{44,61,118},{57,63,338},{56,63,141},{56,63,41},{55,63,17},{63,51,546},
{53,63,233},{51,63,2},{43,61,113},{63,57,546},{43,61,113},{53,63,362},{53,63,362},{53,63,362},{52,63,202},{51,63,315},{50,63,14},{50,63,14},{49,59,19},{44,63,171},{46,59,3},{56,63,41},{56,63,41},{56,63,41},{55,61,2},{61,49,162},{51,63,2},{51,63,2},{47,59,1},{63,54,162},{47,59,1},{63,57,113},{58,63,50},{57,63,1},{52,63,0},{63,57,113},{63,60,113},{52,63,0},
{0,61,113},{63,60,113},{0,61,113},{52,0,202},{52,0,202},{52,0,202},{52,0,202},{50,63,5},{50,63,5},{50,63,5},{50,57,2},{45,60,0},{45,60,0},{57,63,779},{56,63,542},{56,63,442},{54,63,227},{56,63,830},{54,63,251},{53,63,78},{51,62,70},{51,63,587},{47,62,25},{59,63,218},{58,63,123},{58,63,74},{57,63,2},{63,55,333},{56,63,145},{55,63,25},{47,62,25},{63,59,333},
{47,62,25},{56,63,442},{56,63,442},{56,63,442},{54,63,227},{54,63,371},{53,63,78},{53,63,78},{51,61,19},{48,63,219},{47,61,6},{58,63,74},{58,63,74},{58,63,74},{57,63,2},{63,51,162},{55,63,25},{55,63,25},{48,61,2},{63,57,162},{48,61,2},{63,60,25},{61,63,10},{60,63,1},{58,63,0},{63,60,25},{62,62,25},{58,63,0},{0,62,25},{62,62,25},{0,62,25},{54,0,202},
{54,0,202},{54,0,202},{54,0,202},{52,63,26},{52,63,26},{52,63,26},{52,59,2},{47,62,0},{47,62,0},{59,63,684},{57,63,538},{57,63,474},{57,63,282},{57,63,682},{56,63,285},{55,63,171},{53,63,18},{54,63,482},{49,63,5},{60,63,153},{60,63,105},{60,63,89},{59,63,37},{63,59,193},{58,63,107},{58,63,58},{50,63,1},{63,61,193},{50,63,1},{57,63,474},{57,63,474},{57,63,474},
{57,63,282},{57,63,426},{55,63,171},{55,63,171},{53,63,18},{52,63,278},{49,63,5},{60,63,89},{60,63,89},{60,63,89},{59,63,37},{63,57,145},{58,63,58},{58,63,58},{50,63,1},{63,60,145},{50,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{56,0,202},{56,0,202},{56,0,202},{56,0,202},{54,63,50},
{54,63,50},{54,63,50},{54,61,2},{49,63,5},{49,63,5},{60,63,426},{59,63,375},{59,63,339},{58,63,251},{59,63,415},{57,63,202},{57,63,138},{56,63,2},{55,63,295},{53,63,29},{62,63,43},{62,63,38},{62,63,34},{61,63,10},{63,61,54},{61,63,27},{60,63,17},{56,63,1},{63,62,54},{56,63,1},{59,63,339},{59,63,339},{59,63,339},{58,63,251},{59,63,294},{57,63,138},{57,63,138},
{56,63,2},{55,63,174},{53,63,29},{62,63,34},{62,63,34},{62,63,34},{61,63,10},{63,60,41},{60,63,17},{60,63,17},{56,63,1},{62,62,41},{56,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{58,0,202},{58,0,202},{58,0,202},{58,0,202},{57,63,74},{57,63,74},{57,63,74},{56,63,2},{53,63,29},
{53,63,29},{0,20,421},{0,14,50},{0,10,4},{0,9,157},{0,14,925},{0,9,589},{0,8,264},{0,6,701},{0,6,1005},{0,5,738},{0,20,421},{0,14,50},{0,10,4},{0,9,157},{7,0,925},{0,9,589},{0,8,264},{0,6,701},{14,0,925},{0,6,701},{0,10,0},{0,10,0},{0,10,0},{0,5,0},{0,5,85},{0,4,34},{0,4,34},{0,2,50},{0,2,93},{0,2,54},{0,10,0},
{0,10,0},{0,10,0},{0,5,0},{2,1,85},{0,4,34},{0,4,34},{0,2,50},{5,0,85},{0,2,50},{10,1,421},{0,14,50},{0,10,4},{0,9,157},{10,1,421},{20,0,421},{0,9,157},{0,7,421},{20,0,421},{0,7,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,26,421},{0,18,13},{0,13,20},
{0,11,100},{0,18,1261},{0,11,701},{0,10,294},{0,7,857},{0,8,1382},{0,7,938},{0,26,421},{0,18,13},{0,13,20},{0,11,100},{9,0,1261},{0,11,701},{0,10,294},{0,7,857},{18,0,1261},{0,7,857},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{0,8,221},{0,6,89},{0,6,89},{0,4,125},{0,4,246},{0,4,150},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{4,0,221},
{0,6,89},{0,6,89},{0,4,125},{8,0,221},{0,4,125},{13,1,421},{0,18,13},{2,12,4},{0,11,100},{13,1,421},{26,0,421},{0,11,100},{0,9,421},{26,0,421},{0,9,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,32,430},{0,22,10},{1,15,70},{0,13,70},{0,22,1517},{0,14,730},{0,13,257},
{0,9,974},{0,11,1713},{0,8,1109},{1,30,422},{1,21,5},{2,15,45},{0,13,70},{11,1,1514},{0,14,730},{0,13,257},{0,9,974},{15,4,1514},{0,9,974},{0,22,9},{0,22,9},{0,22,9},{0,11,9},{0,12,338},{0,9,106},{0,9,106},{0,5,181},{0,5,392},{0,5,217},{1,20,1},{1,20,1},{1,20,1},{1,10,2},{6,0,338},{0,9,106},{0,9,106},{0,5,181},{12,0,338},
{0,5,181},{16,0,421},{0,22,1},{4,14,4},{0,13,61},{16,0,421},{32,0,421},{0,13,61},{0,11,421},{32,0,421},{0,11,421},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,2},{0,1,2},{1,36,486},{1,24,69},{2,17,163},{1,16,115},{0,28,1517},{0,18,614},{0,15,126},{0,11,857},{0,14,1841},{0,11,1053},{3,32,422},
{3,23,5},{3,17,46},{2,15,70},{14,1,1514},{0,18,614},{0,15,126},{0,11,857},{15,7,1514},{0,11,857},{1,26,65},{1,26,65},{1,26,65},{1,13,66},{0,18,338},{0,13,45},{0,13,45},{0,8,125},{0,8,456},{0,7,211},{3,22,1},{3,22,1},{3,22,1},{3,12,2},{9,0,338},{0,13,45},{0,13,45},{0,8,125},{18,0,338},{0,8,125},{19,0,421},{2,24,1},{6,16,1},
{0,16,37},{19,0,421},{38,0,421},{0,16,37},{0,13,421},{38,0,421},{0,13,421},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,3,25},{0,3,25},{3,39,629},{3,27,213},{3,20,365},{2,18,237},{0,35,1514},{0,22,506},{0,18,24},{0,14,750},{0,16,2003},{0,13,1050},{5,35,421},{5,25,2},{6,19,45},{5,17,72},{17,1,1514},
{0,22,506},{0,18,24},{0,14,750},{35,0,1514},{0,14,750},{3,28,209},{3,28,209},{3,28,209},{2,16,208},{0,25,338},{0,17,9},{0,17,9},{0,10,72},{0,11,566},{0,10,241},{5,24,1},{5,24,1},{5,24,1},{5,15,0},{12,1,338},{0,17,9},{0,17,9},{0,10,72},{25,0,338},{0,10,72},{22,1,421},{4,26,1},{8,18,5},{0,18,8},{22,1,421},{45,0,421},{0,18,8},
{0,15,421},{45,0,421},{0,15,421},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{0,15,0},{0,15,0},{0,15,0},{0,8,1},{0,6,80},{0,6,80},{4,43,821},{4,30,418},{5,22,621},{3,20,420},{0,41,1514},{0,25,450},{0,20,5},{0,16,670},{0,19,2187},{0,15,1109},{7,37,421},{7,27,2},{8,21,45},{7,19,72},{20,1,1514},{0,25,450},{0,20,5},{0,16,670},{41,0,1514},
{0,16,670},{4,32,400},{4,32,400},{4,32,400},{4,18,400},{0,31,338},{0,20,1},{0,20,1},{0,13,40},{0,14,694},{0,11,297},{7,26,1},{7,26,1},{7,26,1},{7,17,1},{15,1,338},{0,20,1},{0,20,1},{0,13,40},{31,0,338},{0,13,40},{25,1,421},{6,28,1},{10,20,5},{0,20,4},{25,1,421},{51,0,421},{0,20,4},{0,17,421},{51,0,421},{0,17,421},{3,0,400},
{3,0,400},{3,0,400},{3,0,400},{0,21,0},{0,21,0},{0,21,0},{0,11,1},{0,8,149},{0,8,149},{5,47,846},{6,32,451},{6,23,662},{5,22,445},{2,43,1515},{1,28,446},{2,22,6},{0,18,638},{0,22,2046},{0,18,878},{9,39,421},{9,29,2},{10,23,45},{9,21,72},{23,1,1514},{0,28,426},{2,22,5},{0,18,589},{47,0,1514},{0,18,589},{5,36,425},{5,36,425},{5,36,425},
{5,21,426},{2,32,341},{2,22,2},{2,22,2},{1,15,38},{0,16,606},{0,14,158},{9,28,1},{9,28,1},{9,28,1},{9,19,1},{15,7,338},{2,22,1},{2,22,1},{0,15,20},{31,3,338},{0,15,20},{28,1,421},{8,30,1},{12,22,5},{2,22,4},{28,1,421},{57,0,421},{2,22,4},{0,19,421},{57,0,421},{0,19,421},{5,0,425},{5,0,425},{5,0,425},{5,0,425},{2,23,1},
{2,23,1},{2,23,1},{2,13,2},{0,12,97},{0,12,97},{7,49,846},{8,33,450},{8,25,662},{7,24,445},{4,45,1515},{3,30,446},{4,24,6},{2,20,638},{0,25,1886},{0,19,682},{11,41,421},{11,31,2},{12,25,45},{11,23,72},{26,1,1514},{1,31,421},{4,24,5},{0,20,545},{53,0,1514},{0,20,545},{7,38,425},{7,38,425},{7,38,425},{7,23,426},{4,34,341},{4,24,2},{4,24,2},
{4,16,42},{0,20,500},{0,16,62},{11,30,1},{11,30,1},{11,30,1},{11,21,1},{15,13,338},{4,24,1},{4,24,1},{0,17,5},{31,6,338},{0,17,5},{31,1,421},{10,32,1},{14,24,5},{4,24,4},{31,1,421},{63,0,421},{4,24,4},{0,21,421},{63,0,421},{0,21,421},{7,0,425},{7,0,425},{7,0,425},{7,0,425},{4,25,1},{4,25,1},{4,25,1},{4,15,2},{0,16,37},
{0,16,37},{10,49,846},{10,36,445},{11,28,650},{10,26,450},{6,47,1517},{5,32,446},{6,27,3},{4,22,646},{0,29,1751},{0,22,522},{13,44,422},{13,34,3},{14,27,46},{13,26,74},{30,0,1514},{3,33,422},{6,27,3},{0,22,497},{46,7,1514},{0,22,497},{10,39,425},{10,39,425},{10,39,425},{10,24,426},{6,37,338},{6,27,2},{6,27,2},{6,19,40},{0,24,410},{0,19,9},{13,33,1},
{13,33,1},{13,33,1},{13,23,1},{24,1,338},{7,26,0},{7,26,0},{1,19,5},{49,0,338},{1,19,5},{35,0,421},{12,34,1},{16,27,1},{5,27,1},{35,0,421},{63,3,421},{5,27,1},{0,23,421},{63,3,421},{0,23,421},{10,0,425},{10,0,425},{10,0,425},{10,0,425},{6,28,0},{6,28,0},{6,28,0},{6,17,1},{0,19,5},{0,19,5},{12,51,846},{12,38,445},{13,30,650},
{12,28,450},{8,49,1517},{7,34,446},{8,29,3},{6,24,646},{0,32,1647},{0,25,458},{15,46,422},{15,36,3},{16,29,42},{15,28,74},{32,1,1514},{5,35,422},{8,29,3},{0,25,457},{46,10,1514},{0,25,457},{12,41,425},{12,41,425},{12,41,425},{12,26,426},{8,39,338},{8,29,2},{8,29,2},{8,21,40},{0,27,362},{1,22,5},{15,35,1},{15,35,1},{15,35,1},{15,25,1},{27,1,338},
{9,28,0},{9,28,0},{3,21,5},{55,0,338},{3,21,5},{38,0,421},{14,36,1},{18,29,1},{7,29,1},{38,0,421},{63,6,421},{7,29,1},{0,25,421},{63,6,421},{0,25,421},{12,0,425},{12,0,425},{12,0,425},{12,0,425},{8,30,0},{8,30,0},{8,30,0},{8,19,1},{1,22,1},{1,22,1},{14,53,846},{14,40,445},{15,32,661},{14,30,450},{10,51,1517},{9,36,446},{10,31,3},
{8,26,646},{0,35,1575},{0,27,446},{17,47,421},{17,37,2},{18,31,42},{17,30,73},{35,1,1514},{7,37,422},{10,31,3},{0,27,430},{46,13,1514},{0,27,430},{14,43,425},{14,43,425},{14,43,425},{14,28,426},{10,41,338},{10,31,2},{10,31,2},{10,23,40},{0,31,341},{3,24,5},{17,36,1},{17,36,1},{17,36,1},{17,27,0},{30,1,338},{11,30,0},{11,30,0},{5,23,5},{61,0,338},
{5,23,5},{41,0,421},{16,38,1},{20,31,1},{9,31,1},{41,0,421},{63,9,421},{9,31,1},{0,27,421},{63,9,421},{0,27,421},{14,0,425},{14,0,425},{14,0,425},{14,0,425},{10,31,1},{10,31,1},{10,31,1},{10,21,1},{3,24,1},{3,24,1},{16,55,854},{16,42,451},{16,33,662},{15,32,446},{12,53,1517},{11,38,446},{12,32,9},{10,28,646},{0,39,1533},{2,29,446},{19,49,421},
{19,39,2},{20,33,45},{18,31,81},{38,1,1514},{9,39,422},{13,32,6},{0,29,422},{45,16,1514},{0,29,422},{15,47,433},{15,47,433},{15,47,433},{15,31,433},{12,43,338},{12,32,5},{12,32,5},{12,25,40},{1,33,339},{5,26,5},{19,38,1},{19,38,1},{19,38,1},{19,29,0},{33,1,338},{13,32,2},{13,32,2},{7,25,5},{63,2,338},{7,25,5},{44,0,421},{18,40,1},{22,32,5},
{12,32,5},{44,0,421},{63,12,421},{12,32,5},{0,29,421},{63,12,421},{0,29,421},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{12,33,1},{12,33,1},{12,33,1},{12,23,1},{5,26,1},{5,26,1},{18,58,846},{18,44,445},{19,36,650},{18,34,450},{14,56,1515},{14,40,447},{14,35,7},{13,31,646},{0,42,1515},{5,31,445},{21,52,422},{21,42,2},{22,35,46},{21,34,74},{42,0,1514},
{12,41,422},{14,35,6},{2,31,425},{62,11,1514},{2,31,425},{18,47,425},{18,47,425},{18,47,425},{18,32,426},{14,46,339},{14,35,6},{14,35,6},{14,27,35},{4,35,341},{8,28,5},{21,41,1},{21,41,1},{21,41,1},{21,31,2},{31,12,338},{15,34,0},{15,34,0},{8,28,1},{62,6,338},{8,28,1},{47,0,421},{21,42,1},{24,35,1},{13,35,1},{47,0,421},{62,16,421},{13,35,1},
{0,31,425},{62,16,421},{0,31,425},{18,0,425},{18,0,425},{18,0,425},{18,0,425},{14,36,1},{14,36,1},{14,36,1},{14,25,1},{7,29,1},{7,29,1},{20,60,846},{20,46,445},{21,38,650},{20,36,450},{16,58,1514},{16,41,449},{16,37,3},{15,32,630},{2,44,1515},{7,33,441},{23,54,422},{23,44,2},{24,37,46},{23,36,74},{45,0,1514},{14,43,422},{16,37,3},{4,33,421},{62,14,1514},
{4,33,421},{20,49,425},{20,49,425},{20,49,425},{20,34,426},{16,47,340},{16,37,2},{16,37,2},{16,29,34},{6,37,341},{10,30,5},{23,43,1},{23,43,1},{23,43,1},{23,33,1},{31,18,338},{17,36,0},{17,36,0},{10,30,1},{62,9,338},{10,30,1},{50,0,421},{23,44,1},{26,37,1},{15,37,1},{50,0,421},{62,19,421},{15,37,1},{0,33,421},{62,19,421},{0,33,421},{20,0,425},
{20,0,425},{20,0,425},{20,0,425},{16,38,0},{16,38,0},{16,38,0},{16,27,0},{9,31,1},{9,31,1},{22,62,846},{22,48,445},{23,40,650},{22,38,450},{18,60,1514},{18,43,449},{18,39,3},{16,34,646},{4,46,1515},{9,35,441},{25,56,422},{25,46,2},{26,39,46},{25,38,74},{47,2,1514},{16,45,425},{18,39,3},{6,35,421},{62,17,1514},{6,35,421},{22,51,425},{22,51,425},{22,51,425},
{22,36,426},{18,49,338},{18,39,2},{18,39,2},{18,31,34},{8,39,341},{11,32,6},{25,45,1},{25,45,1},{25,45,1},{25,35,1},{34,17,338},{19,38,0},{19,38,0},{12,32,4},{62,12,338},{12,32,4},{53,0,421},{25,46,1},{28,39,1},{17,39,1},{53,0,421},{62,22,421},{17,39,1},{0,35,421},{62,22,421},{0,35,421},{22,0,425},{22,0,425},{22,0,425},{22,0,425},{18,40,0},
{18,40,0},{18,40,0},{18,29,0},{11,32,2},{11,32,2},{24,63,850},{24,50,445},{25,42,650},{24,40,450},{20,62,1514},{20,45,449},{20,41,3},{18,36,646},{6,48,1517},{11,37,441},{27,58,422},{27,48,3},{28,41,46},{27,40,74},{47,8,1514},{18,47,425},{20,41,3},{8,37,421},{62,20,1514},{8,37,421},{24,53,425},{24,53,425},{24,53,425},{24,38,426},{20,51,338},{20,41,2},{20,41,2},
{20,33,40},{10,41,341},{13,34,6},{27,47,1},{27,47,1},{27,47,1},{27,37,1},{37,17,338},{21,40,0},{21,40,0},{14,34,4},{62,15,338},{14,34,4},{56,0,421},{26,48,1},{30,41,1},{19,41,1},{56,0,421},{62,25,421},{19,41,1},{0,37,421},{62,25,421},{0,37,421},{24,0,425},{24,0,425},{24,0,425},{24,0,425},{20,42,0},{20,42,0},{20,42,0},{20,31,0},{13,34,2},
{13,34,2},{26,63,882},{26,52,447},{27,44,646},{26,42,446},{23,62,1526},{22,48,447},{22,43,5},{21,39,646},{8,50,1515},{13,39,443},{30,58,425},{29,50,4},{30,44,45},{29,42,69},{54,0,1514},{20,49,422},{22,43,4},{10,39,426},{47,31,1514},{10,39,426},{26,56,421},{26,56,421},{26,56,421},{26,41,421},{22,54,339},{22,43,5},{22,43,5},{22,35,35},{12,43,338},{16,36,5},{30,48,4},
{30,48,4},{30,48,4},{30,39,4},{49,0,338},{23,42,2},{23,42,2},{16,36,1},{62,18,338},{16,36,1},{59,0,421},{29,50,0},{32,43,1},{22,43,0},{59,0,421},{62,28,421},{22,43,0},{0,39,425},{62,28,421},{0,39,425},{26,0,421},{26,0,421},{26,0,421},{26,0,421},{22,44,2},{22,44,2},{22,44,2},{22,33,1},{15,37,1},{15,37,1},{29,63,922},{28,54,447},{29,46,646},
{28,44,446},{25,63,1535},{24,50,447},{24,45,5},{23,41,646},{10,52,1515},{15,41,443},{31,62,425},{31,52,4},{32,45,45},{31,44,69},{57,0,1514},{22,51,422},{24,45,4},{12,41,426},{50,32,1514},{12,41,426},{28,58,421},{28,58,421},{28,58,421},{28,43,421},{24,56,339},{24,45,5},{24,45,5},{24,37,35},{14,45,338},{18,38,5},{31,52,4},{31,52,4},{31,52,4},{31,41,5},{52,0,338},
{25,44,2},{25,44,2},{18,38,1},{62,21,338},{18,38,1},{62,0,421},{31,52,0},{34,45,1},{24,45,0},{62,0,421},{62,31,421},{24,45,0},{0,41,425},{62,31,421},{0,41,425},{28,0,421},{28,0,421},{28,0,421},{28,0,421},{24,46,2},{24,46,2},{24,46,2},{24,35,1},{17,39,1},{17,39,1},{31,63,994},{30,56,447},{31,48,655},{30,46,446},{28,63,1575},{26,52,447},{26,47,5},
{25,43,646},{12,54,1515},{17,43,445},{33,63,426},{33,54,2},{34,47,45},{33,46,66},{60,0,1514},{24,53,422},{26,47,4},{14,43,426},{56,32,1514},{14,43,426},{30,60,421},{30,60,421},{30,60,421},{30,45,421},{26,58,339},{26,47,5},{26,47,5},{26,39,35},{16,47,338},{20,40,5},{33,53,1},{33,53,1},{33,53,1},{33,43,2},{55,0,338},{27,46,2},{27,46,2},{20,40,1},{62,24,338},
{20,40,1},{63,4,421},{33,54,1},{36,47,1},{26,47,0},{63,4,421},{62,34,421},{26,47,0},{0,43,425},{62,34,421},{0,43,425},{30,0,421},{30,0,421},{30,0,421},{30,0,421},{26,48,1},{26,48,1},{26,48,1},{26,37,1},{19,41,1},{19,41,1},{33,63,1082},{32,58,445},{33,50,650},{32,48,450},{30,63,1638},{28,54,447},{28,49,7},{27,45,646},{14,56,1515},{19,45,445},{36,63,434},
{35,56,2},{36,49,46},{35,48,74},{63,0,1514},{26,55,422},{28,49,6},{16,45,425},{62,32,1514},{16,45,425},{32,61,425},{32,61,425},{32,61,425},{32,47,426},{28,60,339},{28,49,6},{28,49,6},{28,41,35},{18,49,341},{22,42,5},{35,55,1},{35,55,1},{35,55,1},{35,45,2},{58,0,338},{29,48,0},{29,48,0},{22,42,1},{62,27,338},{22,42,1},{63,10,421},{35,56,1},{38,49,1},
{27,49,1},{63,10,421},{62,37,421},{27,49,1},{0,45,425},{62,37,421},{0,45,425},{32,0,425},{32,0,425},{32,0,425},{32,0,425},{28,50,1},{28,50,1},{28,50,1},{28,39,1},{21,43,1},{21,43,1},{36,63,1206},{34,61,446},{35,52,646},{34,50,446},{33,63,1710},{30,56,445},{31,51,5},{29,47,638},{17,58,1515},{22,47,450},{39,63,469},{37,58,5},{38,52,45},{37,50,69},{63,7,1514},
{27,58,422},{31,51,1},{19,47,433},{63,35,1514},{19,47,433},{34,63,422},{34,63,422},{34,63,422},{34,49,421},{31,61,342},{31,51,5},{31,51,5},{30,43,36},{20,51,338},{24,44,2},{38,56,4},{38,56,4},{38,56,4},{38,47,4},{53,16,338},{31,51,1},{31,51,1},{25,44,0},{63,30,338},{25,44,0},{63,17,421},{37,58,1},{40,51,1},{30,51,0},{63,17,421},{63,40,421},{30,51,0},
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{38,53,421},{35,63,355},{34,55,5},{34,55,5},{34,47,33},{24,55,338},{28,48,3},{42,60,4},{42,60,4},{42,60,4},{42,51,4},{59,16,338},{35,54,2},{35,54,2},{28,48,2},{62,36,338},{28,48,2},{63,29,421},{41,62,1},{44,55,1},{34,55,0},{63,29,421},{63,46,421},{34,55,0},{0,51,425},{63,46,421},{0,51,425},{38,0,421},{38,0,421},{38,0,421},{38,0,421},{34,56,2},
{34,56,2},{34,56,2},{34,45,2},{27,49,1},{27,49,1},{43,63,1634},{41,63,546},{41,58,646},{40,56,446},{40,63,2039},{36,62,447},{36,57,5},{35,53,646},{24,63,1521},{27,53,443},{46,63,633},{44,63,9},{44,58,45},{43,56,69},{63,25,1514},{34,63,422},{36,57,4},{24,53,426},{63,44,1514},{24,53,426},{40,63,502},{40,63,502},{40,63,502},{40,55,421},{37,63,379},{36,57,5},{36,57,5},
{36,49,35},{26,57,338},{30,50,3},{44,62,4},{44,62,4},{44,62,4},{44,53,4},{62,16,338},{37,56,2},{37,56,2},{30,50,2},{62,39,338},{30,50,2},{63,34,421},{44,63,5},{46,57,1},{36,57,0},{63,34,421},{62,49,421},{36,57,0},{0,53,425},{62,49,421},{0,53,425},{40,0,421},{40,0,421},{40,0,421},{40,0,421},{36,58,2},{36,58,2},{36,58,2},{36,47,2},{29,51,1},
{29,51,1},{45,63,1866},{43,63,689},{43,60,650},{42,59,447},{43,63,2201},{38,63,469},{39,59,6},{37,55,638},{29,63,1590},{30,55,450},{48,63,741},{46,63,69},{46,60,46},{45,58,70},{62,33,1514},{38,63,465},{39,59,2},{25,56,425},{61,48,1514},{25,56,425},{43,63,545},{43,63,545},{43,63,545},{42,57,422},{40,63,424},{39,59,5},{39,59,5},{38,51,36},{29,59,339},{32,52,2},{46,63,5},
{46,63,5},{46,63,5},{46,55,2},{63,21,338},{39,59,1},{39,59,1},{33,52,0},{63,42,338},{33,52,0},{63,41,421},{48,63,41},{49,59,2},{38,59,2},{63,41,421},{63,52,421},{38,59,2},{0,56,425},{63,52,421},{0,56,425},{42,0,421},{42,0,421},{42,0,421},{42,0,421},{39,59,4},{39,59,4},{39,59,4},{39,49,4},{31,53,1},{31,53,1},{48,63,2070},{46,63,889},{45,62,650},
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{41,59,605},{37,63,1804},{34,59,417},{54,63,916},{51,63,308},{51,63,52},{49,62,56},{63,43,1459},{46,63,618},{43,63,1},{31,59,400},{63,53,1459},{31,59,400},{47,63,701},{47,63,701},{47,63,701},{46,61,422},{45,63,566},{43,63,5},{43,63,5},{42,55,36},{32,63,341},{36,56,2},{51,63,52},{51,63,52},{51,63,52},{50,59,4},{63,33,338},{43,63,1},{43,63,1},{37,56,0},{47,56,338},
{37,56,0},{63,53,392},{55,63,157},{53,63,1},{42,63,1},{63,53,392},{63,58,392},{42,63,1},{0,59,400},{63,58,392},{0,59,400},{46,0,421},{46,0,421},{46,0,421},{46,0,421},{43,63,4},{43,63,4},{43,63,4},{43,53,4},{35,57,1},{35,57,1},{51,63,1901},{50,63,1114},{49,63,785},{48,63,421},{51,63,2093},{46,63,574},{45,63,38},{44,60,356},{40,63,1476},{36,60,213},{55,63,684},
{54,63,260},{53,63,85},{51,63,20},{63,47,1064},{49,63,426},{47,63,8},{35,60,208},{63,55,1064},{35,60,208},{49,63,785},{49,63,785},{49,63,785},{48,63,421},{48,63,661},{45,63,38},{45,63,38},{44,57,36},{37,63,371},{38,58,2},{53,63,85},{53,63,85},{53,63,85},{52,61,4},{63,39,338},{47,63,8},{47,63,8},{39,58,0},{47,59,338},{39,58,0},{63,56,200},{57,63,80},{56,63,1},
{48,63,0},{63,56,200},{62,60,200},{48,63,0},{0,60,208},{62,60,200},{0,60,208},{48,0,421},{48,0,421},{48,0,421},{48,0,421},{45,63,13},{45,63,13},{45,63,13},{45,55,4},{37,59,1},{37,59,1},{54,63,1646},{52,63,1119},{51,63,886},{50,63,470},{53,63,1761},{48,63,526},{48,63,126},{46,61,146},{44,63,1218},{39,62,69},{57,63,450},{56,63,245},{56,63,145},{54,63,2},{63,51,722},
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{53,63,5},{51,63,365},{49,63,52},{61,63,61},{61,63,61},{61,63,61},{60,63,17},{63,58,85},{59,63,40},{59,63,40},{53,63,1},{62,61,85},{53,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{56,0,421},{56,0,421},{56,0,421},{56,0,421},{54,63,157},{54,63,157},{54,63,157},{53,63,5},{49,63,52},
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{0,14,0},{0,14,0},{0,7,0},{3,1,162},{0,5,61},{0,5,61},{0,3,100},{7,0,162},{0,3,100},{6,17,882},{0,21,116},{0,15,4},{0,13,320},{6,17,882},{29,0,882},{0,13,320},{0,10,884},{29,0,882},{0,10,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,35,882},{0,25,50},{0,17,10},
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{0,8,125},{0,8,125},{0,4,200},{10,0,338},{0,4,200},{17,1,882},{0,25,50},{1,17,2},{0,15,260},{17,1,882},{35,0,882},{0,15,260},{0,12,884},{35,0,882},{0,12,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,41,882},{0,28,10},{1,19,69},{0,17,193},{0,28,2899},{0,19,1539},{0,16,643},
{0,11,1965},{0,13,3209},{0,11,2161},{0,41,882},{0,28,10},{1,19,53},{0,17,193},{14,0,2899},{0,19,1539},{0,16,643},{0,11,1965},{28,0,2899},{0,11,1965},{0,25,1},{0,25,1},{0,25,1},{0,13,0},{0,13,578},{0,11,221},{0,11,221},{0,6,356},{0,6,644},{0,5,401},{0,25,1},{0,25,1},{0,25,1},{0,13,0},{6,1,578},{0,11,221},{0,11,221},{0,6,356},{13,0,578},
{0,6,356},{20,1,882},{0,28,10},{3,19,2},{0,17,193},{20,1,882},{41,0,882},{0,17,193},{0,14,884},{41,0,882},{0,14,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,45,902},{1,31,24},{1,21,142},{0,19,166},{0,33,3048},{0,22,1443},{0,18,481},{0,13,1908},{0,16,3492},{0,13,2197},{2,43,886},
{1,31,8},{3,21,73},{1,19,153},{16,1,3048},{0,22,1443},{0,18,481},{0,13,1908},{33,0,3048},{0,13,1908},{1,29,21},{1,29,21},{1,29,21},{1,15,21},{0,18,648},{0,14,169},{0,14,169},{0,8,325},{0,8,766},{0,7,421},{2,27,5},{2,27,5},{2,27,5},{2,15,4},{9,0,648},{0,14,169},{0,14,169},{0,8,325},{18,0,648},{0,8,325},{23,1,882},{0,31,2},{5,21,2},
{0,19,130},{23,1,882},{47,0,882},{0,19,130},{0,16,890},{47,0,882},{0,16,890},{1,0,20},{1,0,20},{1,0,20},{1,0,20},{0,5,0},{0,5,0},{0,5,0},{0,2,1},{0,2,5},{0,2,5},{2,49,997},{2,34,114},{3,24,290},{1,22,234},{0,39,3051},{0,25,1256},{0,21,258},{0,16,1764},{0,19,3685},{0,15,2195},{4,46,883},{3,33,10},{5,23,74},{3,21,154},{15,10,3048},
{0,25,1256},{0,21,258},{0,16,1764},{30,5,3048},{0,16,1764},{2,34,113},{2,34,113},{2,34,113},{2,18,113},{0,25,648},{0,17,89},{0,17,89},{0,10,242},{0,11,876},{0,10,411},{4,30,1},{4,30,1},{4,30,1},{4,17,1},{12,1,648},{0,17,89},{0,17,89},{0,10,242},{25,0,648},{0,10,242},{27,0,882},{3,33,1},{8,23,1},{0,22,80},{27,0,882},{46,4,882},{0,22,80},
{0,18,884},{46,4,882},{0,18,884},{2,0,113},{2,0,113},{2,0,113},{2,0,113},{0,11,1},{0,11,1},{0,11,1},{0,6,1},{0,5,40},{0,5,40},{3,53,1149},{3,36,274},{4,27,513},{3,24,362},{0,45,3051},{0,28,1128},{0,24,122},{0,18,1605},{0,22,3901},{0,16,2173},{6,47,885},{5,35,10},{7,25,74},{5,23,154},{15,16,3048},{0,28,1128},{0,24,122},{0,18,1605},{30,8,3048},
{0,18,1605},{3,38,265},{3,38,265},{3,38,265},{3,20,266},{0,31,648},{0,21,34},{0,21,34},{0,13,170},{0,14,1004},{0,11,457},{6,32,1},{6,32,1},{6,32,1},{6,19,1},{15,1,648},{0,21,34},{0,21,34},{0,13,170},{31,0,648},{0,13,170},{30,0,882},{5,35,1},{10,25,1},{0,24,41},{30,0,882},{46,7,882},{0,24,41},{0,20,884},{46,7,882},{0,20,884},{3,0,265},
{3,0,265},{3,0,265},{3,0,265},{0,17,0},{0,17,0},{0,17,0},{0,9,1},{0,8,104},{0,8,104},{4,57,1365},{4,39,498},{5,28,793},{4,26,561},{0,51,3048},{0,31,1032},{0,26,41},{0,20,1509},{0,24,4147},{0,19,2149},{8,49,885},{7,37,10},{9,27,74},{7,25,154},{17,17,3048},{0,31,1032},{0,26,41},{0,20,1509},{51,0,3048},{0,20,1509},{4,42,481},{4,42,481},{4,42,481},
{4,23,481},{0,36,650},{0,25,4},{0,25,4},{0,15,130},{0,16,1161},{0,14,481},{8,34,1},{8,34,1},{8,34,1},{8,21,1},{15,7,648},{0,25,4},{0,25,4},{0,15,130},{31,3,648},{0,15,130},{32,1,882},{7,37,1},{12,27,1},{0,26,25},{32,1,882},{46,10,882},{0,26,25},{0,22,884},{46,10,882},{0,22,884},{4,0,481},{4,0,481},{4,0,481},{4,0,481},{0,23,0},
{0,23,0},{0,23,0},{0,12,1},{0,9,193},{0,9,193},{5,61,1645},{5,42,795},{7,30,1177},{4,28,826},{0,57,3048},{0,35,954},{0,29,9},{0,22,1380},{0,27,4419},{0,21,2197},{10,51,885},{9,39,10},{11,29,74},{9,27,154},{20,17,3048},{0,35,954},{0,29,9},{0,22,1380},{57,0,3048},{0,22,1380},{5,46,761},{5,46,761},{5,46,761},{5,25,762},{0,42,650},{0,28,4},{0,28,4},
{0,17,85},{0,19,1345},{0,16,557},{10,36,1},{10,36,1},{10,36,1},{10,23,1},{15,13,648},{1,27,1},{1,27,1},{0,17,85},{31,6,648},{0,17,85},{35,1,882},{9,39,1},{14,29,1},{0,29,9},{35,1,882},{46,13,882},{0,29,9},{0,24,884},{46,13,882},{0,24,884},{5,0,761},{5,0,761},{5,0,761},{5,0,761},{0,29,0},{0,29,0},{0,29,0},{0,15,1},{0,11,296},
{0,11,296},{7,63,1774},{7,44,924},{8,33,1320},{6,30,941},{2,60,3052},{1,38,924},{2,31,10},{0,24,1302},{0,31,4300},{0,24,1942},{12,54,882},{12,40,8},{13,32,68},{11,29,161},{32,0,3048},{0,39,898},{2,31,6},{0,24,1266},{62,1,3048},{0,24,1266},{7,48,885},{7,48,885},{7,48,885},{7,28,884},{2,45,652},{2,31,9},{2,31,9},{1,20,62},{0,22,1275},{0,19,419},{12,39,0},
{12,39,0},{12,39,0},{12,25,1},{24,1,648},{3,30,0},{3,30,0},{0,20,45},{49,0,648},{0,20,45},{39,0,882},{11,41,1},{16,31,2},{1,31,1},{39,0,882},{62,8,882},{1,31,1},{0,26,882},{62,8,882},{0,26,882},{7,0,884},{7,0,884},{7,0,884},{7,0,884},{2,32,4},{2,32,4},{2,32,4},{2,17,4},{0,16,250},{0,16,250},{9,63,1798},{9,46,924},{10,35,1320},
{9,32,936},{4,62,3052},{3,40,924},{4,33,9},{2,26,1302},{0,33,4023},{0,26,1647},{14,56,882},{14,42,8},{15,34,68},{13,31,161},{35,0,3048},{0,42,882},{4,33,5},{0,27,1170},{62,4,3048},{0,27,1170},{9,50,885},{9,50,885},{9,50,885},{9,30,884},{4,47,652},{4,32,8},{4,32,8},{3,22,62},{0,25,1107},{0,22,243},{14,41,0},{14,41,0},{14,41,0},{14,27,1},{27,1,648},
{5,32,1},{5,32,1},{0,22,18},{55,0,648},{0,22,18},{42,0,882},{13,43,1},{18,33,1},{2,33,0},{42,0,882},{62,11,882},{2,33,0},{0,28,882},{62,11,882},{0,28,882},{9,0,884},{9,0,884},{9,0,884},{9,0,884},{4,34,4},{4,34,4},{4,34,4},{4,19,4},{0,19,146},{0,19,146},{12,63,1846},{11,48,924},{12,37,1320},{11,34,936},{6,63,3055},{5,42,924},{6,35,9},
{4,28,1302},{0,36,3799},{0,28,1356},{16,58,883},{16,44,9},{17,35,74},{15,33,161},{38,0,3048},{2,44,882},{6,35,5},{0,29,1110},{62,7,3048},{0,29,1110},{11,52,885},{11,52,885},{11,52,885},{11,32,885},{6,49,652},{6,34,8},{6,34,8},{5,24,62},{0,29,969},{0,24,109},{16,42,1},{16,42,1},{16,42,1},{16,29,2},{30,1,648},{7,34,1},{7,34,1},{0,24,9},{61,0,648},
{0,24,9},{45,0,882},{15,45,1},{20,35,1},{4,35,0},{45,0,882},{62,14,882},{4,35,0},{0,30,882},{62,14,882},{0,30,882},{11,0,884},{11,0,884},{11,0,884},{11,0,884},{6,36,4},{6,36,4},{6,36,4},{6,21,4},{0,22,74},{0,22,74},{14,63,1912},{13,50,924},{14,39,1320},{13,36,936},{9,63,3087},{7,44,924},{8,37,9},{6,30,1302},{0,39,3607},{0,31,1156},{18,60,883},
{18,46,9},{19,37,74},{17,35,154},{41,0,3048},{4,46,882},{8,37,5},{0,31,1035},{62,10,3048},{0,31,1035},{13,54,885},{13,54,885},{13,54,885},{13,34,885},{8,51,652},{8,36,8},{8,36,8},{7,26,62},{0,33,846},{0,27,37},{18,44,1},{18,44,1},{18,44,1},{18,31,2},{33,1,648},{9,36,1},{9,36,1},{0,27,1},{63,2,648},{0,27,1},{47,2,882},{16,48,1},{22,37,1},
{6,37,0},{47,2,882},{62,17,882},{6,37,0},{0,32,884},{62,17,882},{0,32,884},{13,0,884},{13,0,884},{13,0,884},{13,0,884},{8,38,4},{8,38,4},{8,38,4},{8,23,4},{0,26,29},{0,26,29},{16,63,2014},{15,52,932},{16,40,1341},{15,38,932},{12,63,3141},{9,46,924},{10,39,7},{9,32,1308},{0,43,3436},{0,33,1003},{20,62,884},{20,48,8},{21,40,74},{19,37,161},{36,16,3048},
{6,48,882},{10,39,6},{0,33,978},{63,13,3048},{0,33,978},{15,57,882},{15,57,882},{15,57,882},{15,36,882},{10,54,649},{10,39,6},{10,39,6},{9,28,61},{0,36,737},{1,29,8},{20,47,0},{20,47,0},{20,47,0},{20,33,1},{31,12,648},{11,38,1},{11,38,1},{2,29,1},{62,6,648},{2,29,1},{51,0,882},{19,49,1},{24,39,1},{9,39,1},{51,0,882},{47,28,882},{9,39,1},
{0,34,882},{47,28,882},{0,34,882},{15,0,882},{15,0,882},{15,0,882},{15,0,882},{10,40,2},{10,40,2},{10,40,2},{10,25,2},{0,30,2},{0,30,2},{19,63,2126},{17,54,924},{18,42,1341},{16,40,941},{14,63,3204},{11,48,924},{12,41,7},{11,34,1308},{0,46,3300},{0,35,939},{22,63,890},{22,50,8},{23,42,74},{21,39,161},{39,16,3048},{8,50,882},{12,41,6},{0,35,939},{62,16,3048},
{0,35,939},{17,59,884},{17,59,884},{17,59,884},{17,38,884},{12,56,649},{12,41,6},{12,41,6},{11,30,61},{0,39,681},{3,31,8},{22,49,0},{22,49,0},{22,49,0},{22,35,1},{31,18,648},{13,40,1},{13,40,1},{4,31,1},{62,9,648},{4,31,1},{54,0,882},{21,51,1},{26,41,1},{11,41,1},{54,0,882},{47,31,882},{11,41,1},{0,36,882},{47,31,882},{0,36,882},{17,0,884},
{17,0,884},{17,0,884},{17,0,884},{12,42,2},{12,42,2},{12,42,2},{12,27,2},{2,32,1},{2,32,1},{20,63,2264},{19,56,924},{20,44,1341},{18,42,941},{17,63,3292},{13,50,924},{14,43,7},{13,36,1308},{0,50,3192},{0,38,923},{25,63,906},{24,52,8},{25,44,74},{23,41,161},{50,0,3048},{10,52,882},{14,43,6},{0,38,907},{62,19,3048},{0,38,907},{19,61,884},{19,61,884},{19,61,884},
{19,40,884},{14,58,649},{14,43,6},{14,43,6},{13,32,67},{0,42,657},{4,33,10},{24,51,0},{24,51,0},{24,51,0},{24,37,1},{34,17,648},{15,42,1},{15,42,1},{6,33,1},{62,12,648},{6,33,1},{57,0,882},{23,53,1},{28,43,1},{13,43,1},{57,0,882},{50,32,882},{13,43,1},{0,38,882},{50,32,882},{0,38,882},{19,0,884},{19,0,884},{19,0,884},{19,0,884},{14,44,2},
{14,44,2},{14,44,2},{14,29,2},{4,34,1},{4,34,1},{23,63,2376},{21,58,924},{22,46,1341},{20,44,941},{19,63,3391},{15,52,924},{16,45,10},{15,38,1308},{0,53,3112},{2,40,923},{27,63,948},{26,54,8},{27,46,74},{25,43,161},{53,0,3048},{12,54,882},{16,45,6},{0,40,891},{62,22,3048},{0,40,891},{21,63,884},{21,63,884},{21,63,884},{21,42,884},{16,59,652},{16,45,9},{16,45,9},
{15,34,67},{1,45,650},{6,35,10},{26,53,0},{26,53,0},{26,53,0},{26,39,1},{37,17,648},{17,44,0},{17,44,0},{8,35,1},{62,15,648},{8,35,1},{60,0,882},{25,55,1},{30,45,1},{15,45,1},{60,0,882},{56,32,882},{15,45,1},{0,40,882},{56,32,882},{0,40,882},{21,0,884},{21,0,884},{21,0,884},{21,0,884},{16,46,4},{16,46,4},{16,46,4},{16,31,4},{6,36,1},
{6,36,1},{26,63,2564},{23,61,927},{24,49,1324},{23,47,935},{22,63,3529},{17,54,924},{18,47,10},{17,41,1302},{0,56,3060},{5,42,924},{30,63,1003},{28,57,6},{29,48,67},{28,46,158},{56,1,3048},{15,56,883},{19,47,8},{1,42,884},{63,25,3048},{1,42,884},{23,63,891},{23,63,891},{23,63,891},{23,44,883},{18,62,649},{18,47,6},{18,47,6},{17,36,61},{4,47,652},{9,37,8},{28,55,2},
{28,55,2},{28,55,2},{28,42,2},{49,0,648},{19,46,2},{19,46,2},{11,37,0},{62,18,648},{11,37,0},{63,1,882},{27,58,2},{32,47,4},{17,47,5},{63,1,882},{63,32,882},{17,47,5},{0,42,884},{63,32,882},{0,42,884},{23,0,882},{23,0,882},{23,0,882},{23,0,882},{18,48,2},{18,48,2},{18,48,2},{18,33,2},{8,38,1},{8,38,1},{28,63,2774},{25,63,927},{26,51,1324},
{25,48,932},{25,63,3681},{19,56,924},{20,49,7},{19,43,1302},{0,59,3052},{7,44,924},{32,63,1074},{30,59,6},{31,50,67},{30,48,170},{59,1,3048},{16,58,885},{20,49,6},{3,44,884},{63,28,3048},{3,44,884},{25,63,918},{25,63,918},{25,63,918},{25,46,883},{20,63,651},{20,49,6},{20,49,6},{19,38,61},{5,49,651},{11,39,8},{30,57,2},{30,57,2},{30,57,2},{30,44,2},{52,0,648},
{21,48,1},{21,48,1},{13,39,0},{62,21,648},{13,39,0},{63,7,882},{29,60,2},{34,49,1},{19,49,1},{63,7,882},{63,35,882},{19,49,1},{0,44,884},{63,35,882},{0,44,884},{25,0,882},{25,0,882},{25,0,882},{25,0,882},{20,50,2},{20,50,2},{20,50,2},{20,35,2},{10,40,1},{10,40,1},{31,63,2998},{28,63,951},{28,53,1324},{27,50,932},{26,63,3844},{21,58,924},{22,51,7},
{21,45,1302},{2,61,3052},{9,46,924},{34,63,1146},{32,61,9},{33,52,74},{32,50,169},{62,1,3048},{18,60,885},{22,51,6},{5,46,884},{63,31,3048},{5,46,884},{28,63,950},{28,63,950},{28,63,950},{27,48,882},{23,63,675},{22,51,6},{22,51,6},{21,40,61},{7,51,651},{13,41,8},{32,59,0},{32,59,0},{32,59,0},{32,46,1},{55,0,648},{23,50,1},{23,50,1},{15,41,0},{62,24,648},
{15,41,0},{63,13,882},{31,62,2},{36,51,1},{21,51,1},{63,13,882},{63,38,882},{21,51,1},{0,46,884},{63,38,882},{0,46,884},{27,0,882},{27,0,882},{27,0,882},{27,0,882},{22,52,2},{22,52,2},{22,52,2},{22,37,2},{12,42,1},{12,42,1},{33,63,3224},{30,63,1031},{30,55,1324},{29,52,932},{29,63,3996},{23,60,924},{24,53,7},{23,47,1302},{4,63,3052},{11,48,922},{37,63,1226},
{34,63,9},{35,54,74},{33,51,161},{63,5,3048},{20,62,885},{24,53,6},{6,48,882},{47,42,3048},{6,48,882},{30,63,995},{30,63,995},{30,63,995},{29,50,882},{25,63,705},{24,53,6},{24,53,6},{23,42,61},{9,53,651},{15,43,8},{34,61,0},{34,61,0},{34,61,0},{34,47,4},{58,0,648},{25,52,1},{25,52,1},{16,43,1},{62,27,648},{16,43,1},{63,19,882},{33,63,4},{38,53,1},
{23,53,1},{63,19,882},{63,41,882},{23,53,1},{0,48,882},{63,41,882},{0,48,882},{29,0,882},{29,0,882},{29,0,882},{29,0,882},{24,54,2},{24,54,2},{24,54,2},{24,39,2},{14,44,1},{14,44,1},{34,63,3510},{32,63,1202},{33,57,1335},{31,54,936},{33,63,4252},{25,63,925},{26,55,13},{25,49,1309},{9,63,3091},{13,50,918},{40,63,1349},{37,63,38},{37,56,77},{36,54,158},{60,17,3048},
{24,63,894},{27,55,8},{9,50,884},{63,37,3048},{9,50,884},{32,63,1058},{32,63,1058},{32,63,1058},{31,52,885},{28,63,762},{26,55,9},{26,55,9},{26,44,61},{11,56,650},{17,45,11},{36,63,2},{36,63,2},{36,63,2},{36,50,2},{53,16,648},{28,54,1},{28,54,1},{19,45,1},{63,30,648},{19,45,1},{59,33,882},{37,63,29},{40,56,4},{26,55,4},{59,33,882},{55,48,882},{26,55,4},
{0,50,884},{55,48,882},{0,50,884},{31,0,884},{31,0,884},{31,0,884},{31,0,884},{26,57,0},{26,57,0},{26,57,0},{26,42,1},{16,47,2},{16,47,2},{37,63,3734},{34,63,1399},{35,59,1335},{33,57,935},{34,63,4441},{28,63,957},{28,57,13},{27,51,1309},{13,63,3192},{15,52,918},{43,63,1485},{39,63,131},{39,58,77},{38,56,158},{63,17,3048},{28,63,957},{29,57,8},{11,52,884},{63,40,3048},
{11,52,884},{34,63,1110},{34,63,1110},{34,63,1110},{33,54,883},{30,63,840},{28,57,9},{28,57,9},{28,46,61},{13,58,650},{19,47,11},{39,63,10},{39,63,10},{39,63,10},{38,52,2},{56,16,648},{30,56,1},{30,56,1},{21,47,1},{62,33,648},{21,47,1},{62,33,882},{41,63,80},{42,58,4},{28,57,4},{62,33,882},{61,48,882},{28,57,4},{0,52,884},{61,48,882},{0,52,884},{33,0,882},
{33,0,882},{33,0,882},{33,0,882},{28,59,0},{28,59,0},{28,59,0},{28,44,1},{18,48,1},{18,48,1},{40,63,4022},{37,63,1647},{37,61,1335},{35,59,935},{37,63,4657},{31,63,1085},{30,59,13},{29,53,1309},{18,63,3339},{17,54,924},{45,63,1635},{42,63,275},{41,60,77},{40,58,158},{63,23,3048},{32,63,1044},{31,59,8},{13,54,884},{63,43,3048},{13,54,884},{36,63,1203},{36,63,1203},{36,63,1203},
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{39,63,8},{39,63,8},{29,55,2},{63,45,648},{29,55,2},{63,51,481},{54,63,193},{51,63,1},{40,63,0},{63,51,481},{63,57,481},{40,63,0},{0,59,481},{63,57,481},{0,59,481},{41,0,884},{41,0,884},{41,0,884},{41,0,884},{37,63,25},{37,63,25},{37,63,25},{36,52,1},{26,57,2},{26,57,2},{48,63,3571},{46,63,2182},{46,63,1653},{43,63,900},{46,63,3838},{41,63,1094},{40,63,137},
{37,59,490},{32,63,2703},{27,60,270},{53,63,1106},{51,63,458},{50,63,193},{48,63,10},{63,43,1769},{46,63,698},{42,63,40},{25,60,266},{63,53,1769},{25,60,266},{46,63,1653},{46,63,1653},{46,63,1653},{43,63,900},{43,63,1386},{40,63,137},{40,63,137},{38,56,61},{29,63,779},{29,57,11},{50,63,193},{50,63,193},{50,63,193},{48,62,1},{63,33,648},{42,63,40},{42,63,40},{31,57,2},{47,56,648},
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{54,63,450},{53,63,265},{50,63,10},{63,47,1374},{48,63,546},{46,63,89},{29,61,114},{63,55,1374},{29,61,114},{48,63,1795},{48,63,1795},{48,63,1795},{46,63,964},{45,63,1560},{42,63,296},{42,63,296},{40,58,61},{32,63,891},{31,59,11},{53,63,265},{53,63,265},{53,63,265},{50,63,10},{63,39,648},{46,63,89},{46,63,89},{33,59,1},{47,59,648},{33,59,1},{63,57,113},{58,63,50},{57,63,1},
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{2,0,145},{2,0,145},{2,0,145},{0,13,0},{0,13,0},{0,13,0},{0,6,1},{0,5,52},{0,5,52},{4,63,1977},{3,47,318},{5,33,675},{3,30,498},{0,56,5420},{0,36,2129},{0,30,338},{0,22,3012},{0,25,6733},{0,21,3825},{6,63,1569},{6,45,10},{8,33,123},{5,30,285},{28,1,5419},{0,36,2129},{0,30,338},{0,22,3012},{47,5,5419},{0,22,3012},{3,48,313},{3,48,313},{3,48,313},
{3,26,314},{0,36,1154},{0,25,100},{0,25,100},{0,16,388},{0,16,1665},{0,14,757},{6,42,2},{6,42,2},{6,42,2},{6,24,2},{15,7,1152},{0,25,100},{0,25,100},{0,16,388},{31,3,1152},{0,16,388},{37,1,1568},{4,46,1},{11,32,2},{0,30,113},{37,1,1568},{63,6,1568},{0,30,113},{0,25,1568},{63,6,1568},{0,25,1568},{3,0,313},{3,0,313},{3,0,313},{3,0,313},{0,19,0},
{0,19,0},{0,19,0},{0,9,1},{0,8,116},{0,8,116},{6,63,2353},{4,49,562},{6,35,1006},{3,32,715},{0,62,5420},{0,39,1961},{0,32,174},{0,24,2817},{0,28,7013},{0,24,3841},{9,63,1577},{8,47,10},{10,35,123},{7,31,290},{31,1,5419},{0,39,1961},{0,32,174},{0,24,2817},{47,8,5419},{0,24,2817},{4,52,545},{4,52,545},{4,52,545},{4,28,546},{0,42,1154},{0,29,45},{0,29,45},
{0,18,289},{0,19,1849},{0,16,797},{8,44,2},{8,44,2},{8,44,2},{8,26,2},{15,13,1152},{0,29,45},{0,29,45},{0,18,289},{31,6,1152},{0,18,289},{40,1,1568},{6,48,1},{13,34,2},{0,33,73},{40,1,1568},{63,9,1568},{0,33,73},{0,27,1568},{63,9,1568},{0,27,1568},{4,0,545},{4,0,545},{4,0,545},{4,0,545},{0,25,0},{0,25,0},{0,25,0},{0,12,1},{0,11,212},
{0,11,212},{8,63,2980},{6,52,920},{7,38,1444},{5,34,1012},{2,63,5504},{0,42,1814},{0,35,57},{0,27,2630},{0,31,7380},{0,25,3860},{11,63,1604},{10,49,13},{12,37,116},{10,33,292},{34,1,5419},{0,42,1814},{0,35,57},{0,27,2630},{63,3,5419},{0,27,2630},{5,57,884},{5,57,884},{5,57,884},{5,31,884},{0,49,1152},{0,33,5},{0,33,5},{0,21,221},{0,22,2091},{0,19,875},{11,45,4},
{11,45,4},{11,45,4},{11,28,4},{24,1,1152},{0,33,5},{0,33,5},{0,21,221},{49,0,1152},{0,21,221},{44,0,1568},{8,50,1},{15,36,4},{0,35,32},{44,0,1568},{62,13,1568},{0,35,32},{0,29,1570},{62,13,1568},{0,29,1570},{5,0,884},{5,0,884},{5,0,884},{5,0,884},{0,31,1},{0,31,1},{0,31,1},{0,16,1},{0,14,349},{0,14,349},{9,63,3638},{7,55,1309},{8,39,1940},
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{11,49,2670},{6,63,2795},{3,54,14},{3,54,14},{2,34,245},{0,39,4227},{0,33,1470},{21,63,58},{21,63,58},{21,63,58},{20,45,1},{34,17,2178},{4,53,0},{4,53,0},{0,35,180},{62,12,2178},{0,35,180},{63,11,2665},{26,63,305},{28,54,4},{2,54,4},{63,11,2665},{63,37,2665},{2,54,4},{0,46,2669},{63,37,2665},{0,46,2669},{11,0,2669},{11,0,2669},{11,0,2669},{11,0,2669},{2,57,1},
{2,57,1},{2,57,1},{2,30,2},{0,25,801},{0,25,801},{22,63,12554},{17,63,5066},{16,59,4118},{13,55,2805},{17,63,14614},{6,63,3255},{5,56,18},{1,45,4078},{0,56,13194},{0,44,5633},{31,63,5090},{26,63,802},{24,58,254},{21,53,446},{58,1,9669},{7,63,3198},{5,56,9},{0,45,3846},{53,32,9669},{0,45,3846},{15,63,3710},{15,63,3710},{15,63,3710},{13,51,2670},{9,63,2931},{5,56,14},{5,56,14},
{4,36,245},{0,42,3899},{0,36,1110},{23,63,90},{23,63,90},{23,63,90},{22,47,1},{37,17,2178},{6,55,0},{6,55,0},{0,37,136},{62,15,2178},{0,37,136},{63,17,2665},{30,63,442},{30,56,4},{4,56,4},{63,17,2665},{63,40,2665},{4,56,4},{0,47,2677},{63,40,2665},{0,47,2677},{13,0,2669},{13,0,2669},{13,0,2669},{13,0,2669},{4,59,1},{4,59,1},{4,59,1},{4,31,5},{0,28,625},
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{16,0,7946},{16,0,7946},{16,0,7946},{5,63,1184},{5,63,1184},{5,63,1184},{0,47,0},{0,36,3145},{0,36,3145},{29,63,26667},{26,63,19695},{23,63,16891},{18,63,10206},{26,63,26795},{12,63,9118},{9,63,4037},{0,58,933},{0,63,19110},{0,56,6699},{46,63,5181},{40,63,2970},{40,63,2009},{34,63,160},{63,27,8069},{30,63,3310},{23,63,898},{0,58,933},{63,45,8069},{0,58,933},{23,63,16891},{23,63,16891},{23,63,16891},
{18,63,10206},{17,63,14179},{9,63,4037},{9,63,4037},{0,55,221},{0,59,11627},{0,50,5115},{40,63,2009},{40,63,2009},{40,63,2009},{34,63,160},{59,16,4418},{23,63,898},{23,63,898},{0,55,221},{62,36,4418},{0,55,221},{63,53,365},{55,63,146},{53,63,0},{43,63,0},{63,53,365},{63,58,365},{43,63,0},{0,60,369},{63,58,365},{0,60,369},{16,0,8986},{16,0,8986},{16,0,8986},{16,0,8986},{6,63,1665},
{6,63,1665},{6,63,1665},{0,50,1},{0,39,3545},{0,39,3545},{31,63,26643},{26,63,20231},{26,63,17731},{20,63,10867},{26,63,26531},{15,63,9546},{12,63,4889},{0,59,590},{0,63,18606},{0,56,5707},{46,63,4781},{43,63,2978},{42,63,2228},{37,63,320},{63,31,7322},{32,63,3134},{27,63,1125},{0,59,554},{63,47,7322},{0,59,554},{26,63,17731},{26,63,17731},{26,63,17731},{20,63,10867},{20,63,15043},{12,63,4889},{12,63,4889},
{1,56,185},{0,62,11315},{0,53,4667},{42,63,2228},{42,63,2228},{42,63,2228},{37,63,320},{62,16,4418},{27,63,1125},{27,63,1125},{0,56,162},{62,39,4418},{0,56,162},{63,56,181},{57,63,73},{56,63,0},{49,63,0},{63,56,181},{62,60,181},{49,63,0},{0,61,185},{62,60,181},{0,61,185},{18,0,9250},{18,0,9250},{18,0,9250},{18,0,9250},{8,63,1972},{8,63,1972},{8,63,1972},{1,52,4},{0,42,3341},
{0,42,3341},{34,63,26006},{29,63,20400},{28,63,18273},{23,63,11384},{29,63,25736},{17,63,9864},{12,63,5726},{2,60,366},{0,63,18111},{0,59,4452},{48,63,4436},{46,63,3050},{43,63,2465},{40,63,562},{63,35,6584},{37,63,3006},{30,63,1421},{0,61,237},{63,49,6584},{0,61,237},{28,63,18273},{28,63,18273},{28,63,18273},{23,63,11384},{23,63,15704},{12,63,5726},{12,63,5726},{3,59,189},{0,63,10886},{0,56,3924},{43,63,2465},
{43,63,2465},{43,63,2465},{40,63,562},{63,21,4418},{30,63,1421},{30,63,1421},{0,59,100},{63,42,4418},{0,59,100},{63,59,52},{60,63,20},{59,63,1},{56,63,0},{63,59,52},{63,61,52},{56,63,0},{0,62,52},{63,61,52},{0,62,52},{20,0,9256},{20,0,9256},{20,0,9256},{20,0,9256},{9,63,2205},{9,63,2205},{9,63,2205},{4,54,1},{0,45,2925},{0,45,2925},{34,63,25526},{31,63,20721},{29,63,18700},
{24,63,11921},{31,63,25279},{20,63,10264},{15,63,6494},{4,62,238},{4,63,17924},{0,59,3588},{51,63,4228},{48,63,3140},{46,63,2665},{41,63,833},{63,39,6019},{40,63,2958},{34,63,1693},{0,62,84},{47,59,6019},{0,62,84},{29,63,18700},{29,63,18700},{29,63,18700},{24,63,11921},{23,63,16280},{15,63,6494},{15,63,6494},{5,61,189},{0,63,10854},{0,59,3332},{46,63,2665},{46,63,2665},{46,63,2665},{41,63,833},{63,27,4418},
{34,63,1693},{34,63,1693},{0,61,61},{63,45,4418},{0,61,61},{63,62,4},{63,63,4},{62,63,1},{62,63,0},{63,62,4},{62,63,4},{62,63,0},{0,63,4},{62,63,4},{0,63,4},{22,0,9256},{22,0,9256},{22,0,9256},{22,0,9256},{12,63,2389},{12,63,2389},{12,63,2389},{6,56,1},{0,50,2512},{0,50,2512},{37,63,24250},{34,63,19895},{31,63,18169},{26,63,11820},{34,63,23717},{20,63,10012},{17,63,6584},
{7,62,122},{6,63,16879},{0,62,2736},{51,63,3648},{48,63,2784},{48,63,2384},{43,63,778},{63,42,5163},{41,63,2584},{37,63,1549},{0,63,9},{46,61,5163},{0,63,9},{31,63,18169},{31,63,18169},{31,63,18169},{26,63,11820},{26,63,15620},{17,63,6584},{17,63,6584},{7,62,106},{0,63,10150},{0,59,2624},{48,63,2384},{48,63,2384},{48,63,2384},{43,63,778},{63,31,3872},{37,63,1549},{37,63,1549},{0,63,9},{63,47,3872},
{0,63,9},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{24,0,9256},{24,0,9256},{24,0,9256},{24,0,9256},{15,63,2605},{15,63,2605},{15,63,2605},{8,58,1},{0,53,2176},{0,53,2176},{37,63,22746},{34,63,18775},{34,63,17254},{29,63,11564},{34,63,21973},{23,63,9532},{20,63,6424},{9,62,57},{9,63,15607},{0,62,2032},{53,63,3058},
{51,63,2304},{48,63,2000},{46,63,650},{63,43,4267},{43,63,2134},{40,63,1285},{4,63,0},{63,53,4267},{4,63,0},{34,63,17254},{34,63,17254},{34,63,17254},{29,63,11564},{29,63,14692},{20,63,6424},{20,63,6424},{9,62,41},{0,63,9366},{0,62,2016},{48,63,2000},{48,63,2000},{48,63,2000},{46,63,650},{55,49,3200},{40,63,1285},{40,63,1285},{4,63,0},{63,48,3200},{4,63,0},{63,63,0},{63,63,0},{63,63,0},
{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{26,0,9256},{26,0,9256},{26,0,9256},{26,0,9256},{17,63,2836},{17,63,2836},{17,63,2836},{10,60,1},{0,59,1856},{0,59,1856},{40,63,21168},{37,63,17685},{34,63,16300},{30,63,11323},{37,63,20205},{26,63,9090},{23,63,6310},{12,63,4},{12,63,14287},{0,62,1546},{54,63,2377},{51,63,1809},{51,63,1553},{47,63,520},{61,49,3361},
{46,63,1683},{43,63,1018},{11,63,0},{63,54,3361},{11,63,0},{34,63,16300},{34,63,16300},{34,63,16300},{30,63,11323},{29,63,13666},{23,63,6310},{23,63,6310},{12,63,4},{3,63,8686},{0,62,1530},{51,63,1553},{51,63,1553},{51,63,1553},{47,63,520},{63,37,2521},{43,63,1018},{43,63,1018},{11,63,0},{62,50,2521},{11,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},
{0,63,0},{63,63,0},{0,63,0},{29,0,9250},{29,0,9250},{29,0,9250},{29,0,9250},{20,63,3114},{20,63,3114},{20,63,3114},{12,62,1},{0,62,1514},{0,62,1514},{40,63,19824},{37,63,16725},{37,63,15500},{32,63,11084},{37,63,18685},{26,63,8770},{26,63,6270},{14,63,16},{15,63,13215},{0,63,1325},{54,63,1881},{54,63,1449},{51,63,1249},{48,63,409},{63,47,2649},{47,63,1329},{44,63,797},{16,63,1},{63,55,2649},
{16,63,1},{37,63,15500},{37,63,15500},{37,63,15500},{32,63,11084},{31,63,12906},{26,63,6270},{26,63,6270},{14,63,16},{6,63,8150},{0,63,1325},{51,63,1249},{51,63,1249},{51,63,1249},{48,63,409},{63,40,1985},{44,63,797},{44,63,797},{16,63,1},{63,51,1985},{16,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{31,0,9250},
{31,0,9250},{31,0,9250},{31,0,9250},{22,63,3393},{22,63,3393},{22,63,3393},{14,63,16},{0,63,1325},{0,63,1325},{43,63,18608},{40,63,15853},{37,63,14796},{34,63,10841},{40,63,17341},{29,63,8410},{26,63,6206},{17,63,74},{17,63,12226},{0,63,1341},{56,63,1451},{54,63,1081},{54,63,937},{51,63,305},{63,50,2017},{49,63,1011},{47,63,605},{22,63,1},{62,57,2017},{22,63,1},{37,63,14796},{37,63,14796},{37,63,14796},
{34,63,10841},{34,63,12089},{26,63,6206},{26,63,6206},{17,63,74},{9,63,7678},{0,63,1341},{54,63,937},{54,63,937},{54,63,937},{51,63,305},{63,43,1513},{47,63,605},{47,63,605},{22,63,1},{62,53,1513},{22,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{32,0,9256},{32,0,9256},{32,0,9256},{32,0,9256},{23,63,3650},
{23,63,3650},{23,63,3650},{17,63,74},{0,63,1341},{0,63,1341},{43,63,17392},{40,63,15021},{40,63,14060},{37,63,10673},{40,63,16013},{32,63,8261},{29,63,6166},{19,63,194},{20,63,11338},{1,63,1594},{57,63,1041},{56,63,822},{54,63,697},{52,63,234},{63,51,1473},{51,63,737},{49,63,442},{28,63,1},{63,57,1473},{28,63,1},{40,63,14060},{40,63,14060},{40,63,14060},{37,63,10673},{34,63,11401},{29,63,6166},{29,63,6166},
{19,63,194},{12,63,7270},{1,63,1594},{54,63,697},{54,63,697},{54,63,697},{52,63,234},{63,46,1105},{49,63,442},{49,63,442},{28,63,1},{63,54,1105},{28,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{34,0,9256},{34,0,9256},{34,0,9256},{34,0,9256},{26,63,3898},{26,63,3898},{26,63,3898},{19,63,194},{1,63,1594},
{1,63,1594},
/**** ended inlining basisu_transcoder_tables_dxt1_6.inc ****/
};
static const etc1_to_dxt1_56_solution g_etc1_to_dxt_5[32 * 8 * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS * NUM_ETC1_TO_DXT1_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_dxt1_5.inc ****/
// Copyright (C) 2017-2019 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
{0,2,18},{0,1,9},{0,1,0},{0,1,9},{0,1,40},{0,1,22},{0,1,13},{0,1,61},{0,1,47},{0,1,65},{0,2,18},{0,1,9},{0,1,0},{0,1,9},{0,1,40},{0,1,22},{0,1,13},{0,1,61},{1,0,40},{0,1,61},{0,1,0},{0,1,0},{0,1,0},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,0},
{0,1,0},{0,1,0},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{1,0,18},{0,1,9},{0,1,0},{0,1,9},{1,0,18},{2,0,18},{0,1,9},{0,1,36},{2,0,18},{0,1,36},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,5,54},{0,3,40},{0,2,61},
{0,2,36},{0,4,51},{0,2,37},{0,2,1},{0,2,52},{0,2,77},{0,1,73},{1,3,22},{1,2,13},{1,2,4},{1,2,13},{0,4,51},{1,2,34},{0,2,1},{0,2,52},{4,0,51},{0,2,52},{0,4,37},{0,4,37},{0,4,37},{0,2,36},{0,3,8},{0,2,1},{0,2,1},{0,1,5},{0,1,30},{0,1,9},{1,2,4},{1,2,4},{1,2,4},{1,1,8},{1,1,8},
{0,2,1},{0,2,1},{0,1,5},{3,0,8},{0,1,5},{2,1,18},{0,3,4},{1,2,0},{0,2,0},{2,1,18},{5,0,18},{0,2,0},{0,2,36},{5,0,18},{0,2,36},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,5},{0,1,5},{1,6,54},{1,4,40},{1,3,61},{1,3,36},{1,5,51},{1,3,37},{1,3,1},
{1,3,52},{0,3,72},{0,3,40},{2,4,22},{2,3,13},{2,3,4},{2,3,13},{1,5,51},{0,4,29},{1,3,1},{0,3,40},{7,0,51},{0,3,40},{1,5,37},{1,5,37},{1,5,37},{1,3,36},{1,4,8},{1,3,1},{1,3,1},{1,2,5},{0,3,8},{1,2,9},{2,3,4},{2,3,4},{2,3,4},{2,2,8},{3,0,8},{1,3,1},{1,3,1},{1,2,5},{6,0,8},
{1,2,5},{3,2,18},{1,4,4},{2,3,0},{1,3,0},{3,2,18},{6,1,18},{1,3,0},{0,3,36},{6,1,18},{0,3,36},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,3,1},{1,3,1},{1,3,1},{1,2,1},{0,3,4},{0,3,4},{2,7,54},{2,5,40},{2,4,62},{2,4,38},{2,6,51},{2,4,27},{2,4,3},{2,3,69},{0,5,60},{1,4,54},{3,5,22},
{3,4,9},{3,4,6},{3,4,21},{5,0,51},{2,4,27},{2,4,3},{0,4,50},{10,0,51},{0,4,50},{2,6,37},{2,6,37},{2,6,37},{2,4,37},{2,5,8},{2,4,2},{2,4,2},{2,3,5},{1,4,8},{2,3,9},{3,4,5},{3,4,5},{3,4,5},{3,3,8},{4,1,8},{2,4,2},{2,4,2},{2,3,5},{9,0,8},{2,3,5},{3,5,18},{2,5,4},{3,4,2},
{2,4,2},{3,5,18},{7,2,18},{2,4,2},{0,4,50},{7,2,18},{0,4,50},{2,0,36},{2,0,36},{2,0,36},{2,0,36},{2,4,1},{2,4,1},{2,4,1},{2,3,1},{1,4,4},{1,4,4},{3,8,68},{3,6,60},{4,5,68},{3,5,50},{3,7,53},{3,6,28},{3,5,5},{3,5,53},{3,5,68},{2,5,38},{4,6,22},{4,5,13},{4,5,4},{4,5,13},{6,1,52},
{3,6,27},{3,5,4},{1,5,37},{13,0,52},{1,5,37},{3,7,50},{3,7,50},{3,7,50},{3,5,50},{3,6,11},{3,5,5},{3,5,5},{3,4,6},{2,5,11},{3,4,9},{4,5,4},{4,5,4},{4,5,4},{4,4,8},{4,4,8},{3,5,4},{3,5,4},{3,4,5},{12,0,8},{3,4,5},{7,0,18},{4,5,9},{4,5,0},{3,5,0},{7,0,18},{14,0,18},{3,5,0},
{0,5,36},{14,0,18},{0,5,36},{3,0,50},{3,0,50},{3,0,50},{3,0,50},{3,6,2},{3,6,2},{3,6,2},{3,4,2},{2,5,2},{2,5,2},{4,9,54},{4,7,40},{4,6,61},{4,6,36},{4,8,51},{4,6,37},{4,6,1},{4,6,52},{2,7,68},{3,6,38},{5,7,22},{5,6,13},{5,6,4},{5,6,13},{8,0,51},{5,6,34},{4,6,1},{2,6,37},{16,0,51},
{2,6,37},{4,8,37},{4,8,37},{4,8,37},{4,6,36},{4,7,8},{4,6,1},{4,6,1},{4,5,5},{3,6,11},{4,5,9},{5,6,4},{5,6,4},{5,6,4},{5,5,8},{5,5,8},{4,6,1},{4,6,1},{4,5,5},{15,0,8},{4,5,5},{8,1,18},{4,7,4},{5,6,0},{4,6,0},{8,1,18},{17,0,18},{4,6,0},{0,6,36},{17,0,18},{0,6,36},{4,0,36},
{4,0,36},{4,0,36},{4,0,36},{4,6,1},{4,6,1},{4,6,1},{4,5,1},{3,6,2},{3,6,2},{5,10,54},{5,8,40},{5,7,61},{5,7,36},{5,9,51},{5,7,37},{5,7,1},{5,7,52},{3,8,60},{4,7,40},{6,8,22},{6,7,13},{6,7,4},{6,7,13},{9,1,51},{4,8,29},{5,7,1},{3,7,37},{19,0,51},{3,7,37},{5,9,37},{5,9,37},{5,9,37},
{5,7,36},{5,8,8},{5,7,1},{5,7,1},{5,6,5},{4,7,8},{5,6,9},{6,7,4},{6,7,4},{6,7,4},{6,6,8},{9,0,8},{5,7,1},{5,7,1},{5,6,5},{18,0,8},{5,6,5},{10,0,18},{5,8,4},{6,7,0},{5,7,0},{10,0,18},{18,1,18},{5,7,0},{0,7,36},{18,1,18},{0,7,36},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,7,1},
{5,7,1},{5,7,1},{5,6,1},{4,7,4},{4,7,4},{6,11,54},{6,9,40},{6,8,62},{6,8,38},{6,10,51},{6,8,27},{6,8,3},{6,7,69},{4,9,60},{5,8,54},{7,9,22},{7,8,9},{7,8,6},{7,8,21},{11,0,51},{6,8,27},{6,8,3},{4,8,50},{22,0,51},{4,8,50},{6,10,37},{6,10,37},{6,10,37},{6,8,37},{6,9,8},{6,8,2},{6,8,2},
{6,7,5},{5,8,8},{6,7,9},{7,8,5},{7,8,5},{7,8,5},{7,7,8},{10,1,8},{6,8,2},{6,8,2},{6,7,5},{21,0,8},{6,7,5},{11,1,18},{6,9,4},{7,8,2},{6,8,2},{11,1,18},{19,2,18},{6,8,2},{0,8,50},{19,2,18},{0,8,50},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,8,1},{6,8,1},{6,8,1},{6,7,1},{5,8,4},
{5,8,4},{7,12,68},{7,10,60},{8,9,68},{7,9,50},{7,11,53},{7,10,28},{7,9,5},{7,9,53},{7,9,68},{6,9,38},{8,10,22},{8,9,13},{8,9,4},{8,9,13},{12,1,52},{7,10,27},{7,9,4},{5,9,37},{25,0,52},{5,9,37},{7,11,50},{7,11,50},{7,11,50},{7,9,50},{7,10,11},{7,9,5},{7,9,5},{7,8,6},{6,9,11},{7,8,9},{8,9,4},
{8,9,4},{8,9,4},{8,8,8},{12,0,8},{7,9,4},{7,9,4},{7,8,5},{24,0,8},{7,8,5},{13,0,18},{8,9,9},{8,9,0},{7,9,0},{13,0,18},{26,0,18},{7,9,0},{0,9,36},{26,0,18},{0,9,36},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,10,2},{7,10,2},{7,10,2},{7,8,2},{6,9,2},{6,9,2},{8,13,54},{8,11,40},{8,10,61},
{8,10,36},{8,12,51},{8,10,37},{8,10,1},{8,10,52},{6,11,68},{7,10,38},{9,11,22},{9,10,13},{9,10,4},{9,10,13},{12,4,51},{9,10,34},{8,10,1},{6,10,37},{28,0,51},{6,10,37},{8,12,37},{8,12,37},{8,12,37},{8,10,36},{8,11,8},{8,10,1},{8,10,1},{8,9,5},{7,10,11},{8,9,9},{9,10,4},{9,10,4},{9,10,4},{9,9,8},{13,1,8},
{8,10,1},{8,10,1},{8,9,5},{27,0,8},{8,9,5},{14,1,18},{8,11,4},{9,10,0},{8,10,0},{14,1,18},{29,0,18},{8,10,0},{0,10,36},{29,0,18},{0,10,36},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,10,1},{8,10,1},{8,10,1},{8,9,1},{7,10,2},{7,10,2},{9,14,54},{9,12,40},{9,11,61},{9,11,36},{9,13,51},{9,11,37},{9,11,1},
{9,11,52},{7,12,60},{8,11,40},{10,12,22},{10,11,13},{10,11,4},{10,11,13},{13,5,51},{8,12,29},{9,11,1},{7,11,37},{31,0,51},{7,11,37},{9,13,37},{9,13,37},{9,13,37},{9,11,36},{9,12,8},{9,11,1},{9,11,1},{9,10,5},{8,11,8},{9,10,9},{10,11,4},{10,11,4},{10,11,4},{10,10,8},{15,0,8},{9,11,1},{9,11,1},{9,10,5},{30,0,8},
{9,10,5},{15,2,18},{9,12,4},{10,11,0},{9,11,0},{15,2,18},{30,1,18},{9,11,0},{0,11,36},{30,1,18},{0,11,36},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,11,1},{9,11,1},{9,11,1},{9,10,1},{8,11,4},{8,11,4},{10,15,54},{10,13,40},{10,12,62},{10,12,38},{10,14,51},{10,12,27},{10,12,3},{10,11,69},{8,13,60},{9,12,54},{11,13,22},
{11,12,9},{11,12,6},{11,12,21},{17,0,51},{10,12,27},{10,12,3},{8,12,50},{30,2,51},{8,12,50},{10,14,37},{10,14,37},{10,14,37},{10,12,37},{10,13,8},{10,12,2},{10,12,2},{10,11,5},{9,12,8},{10,11,9},{11,12,5},{11,12,5},{11,12,5},{11,11,8},{16,1,8},{10,12,2},{10,12,2},{10,11,5},{31,1,8},{10,11,5},{15,5,18},{10,13,4},{11,12,2},
{10,12,2},{15,5,18},{31,2,18},{10,12,2},{0,12,50},{31,2,18},{0,12,50},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,12,1},{10,12,1},{10,12,1},{10,11,1},{9,12,4},{9,12,4},{11,16,68},{11,14,60},{12,13,68},{11,13,50},{11,15,53},{11,14,28},{11,13,5},{11,13,53},{11,13,68},{10,13,38},{12,14,22},{12,13,13},{12,13,4},{12,13,13},{18,1,52},
{11,14,27},{11,13,4},{9,13,37},{31,3,52},{9,13,37},{11,15,50},{11,15,50},{11,15,50},{11,13,50},{11,14,11},{11,13,5},{11,13,5},{11,12,6},{10,13,11},{11,12,9},{12,13,4},{12,13,4},{12,13,4},{12,12,8},{16,4,8},{11,13,4},{11,13,4},{11,12,5},{28,4,8},{11,12,5},{19,0,18},{12,13,9},{12,13,0},{11,13,0},{19,0,18},{30,4,18},{11,13,0},
{0,13,36},{30,4,18},{0,13,36},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,14,2},{11,14,2},{11,14,2},{11,12,2},{10,13,2},{10,13,2},{12,17,54},{12,15,40},{12,14,61},{12,14,36},{12,16,51},{12,14,37},{12,14,1},{12,14,52},{10,15,68},{11,14,38},{13,15,22},{13,14,13},{13,14,4},{13,14,13},{20,0,51},{13,14,34},{12,14,1},{10,14,37},{24,8,51},
{10,14,37},{12,16,37},{12,16,37},{12,16,37},{12,14,36},{12,15,8},{12,14,1},{12,14,1},{12,13,5},{11,14,11},{12,13,9},{13,14,4},{13,14,4},{13,14,4},{13,13,8},{17,5,8},{12,14,1},{12,14,1},{12,13,5},{31,4,8},{12,13,5},{20,1,18},{12,15,4},{13,14,0},{12,14,0},{20,1,18},{31,5,18},{12,14,0},{0,14,36},{31,5,18},{0,14,36},{12,0,36},
{12,0,36},{12,0,36},{12,0,36},{12,14,1},{12,14,1},{12,14,1},{12,13,1},{11,14,2},{11,14,2},{13,18,54},{13,16,40},{13,15,61},{13,15,36},{13,17,51},{13,15,37},{13,15,1},{13,15,52},{11,16,60},{12,15,40},{14,16,22},{14,15,13},{14,15,4},{14,15,13},{21,1,51},{12,16,29},{13,15,1},{11,15,37},{27,8,51},{11,15,37},{13,17,37},{13,17,37},{13,17,37},
{13,15,36},{13,16,8},{13,15,1},{13,15,1},{13,14,5},{12,15,8},{13,14,9},{14,15,4},{14,15,4},{14,15,4},{14,14,8},{21,0,8},{13,15,1},{13,15,1},{13,14,5},{30,6,8},{13,14,5},{22,0,18},{13,16,4},{14,15,0},{13,15,0},{22,0,18},{30,7,18},{13,15,0},{0,15,36},{30,7,18},{0,15,36},{13,0,36},{13,0,36},{13,0,36},{13,0,36},{13,15,1},
{13,15,1},{13,15,1},{13,14,1},{12,15,4},{12,15,4},{14,19,54},{14,17,40},{14,16,62},{14,16,38},{14,18,51},{14,16,27},{14,16,3},{14,15,69},{12,17,60},{13,16,54},{15,17,22},{15,16,9},{15,16,6},{15,16,21},{23,0,51},{14,16,27},{14,16,3},{12,16,50},{30,8,51},{12,16,50},{14,18,37},{14,18,37},{14,18,37},{14,16,37},{14,17,8},{14,16,2},{14,16,2},
{14,15,5},{13,16,8},{14,15,9},{15,16,5},{15,16,5},{15,16,5},{15,15,8},{22,1,8},{14,16,2},{14,16,2},{14,15,5},{31,7,8},{14,15,5},{23,1,18},{14,17,4},{15,16,2},{14,16,2},{23,1,18},{27,10,18},{14,16,2},{0,16,50},{27,10,18},{0,16,50},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,16,1},{14,16,1},{14,16,1},{14,15,1},{13,16,4},
{13,16,4},{15,20,68},{15,18,60},{16,17,68},{15,17,50},{15,19,53},{15,18,28},{15,17,5},{15,17,53},{15,17,68},{14,17,38},{16,18,22},{16,17,13},{16,17,4},{16,17,13},{24,1,52},{15,18,27},{15,17,4},{13,17,37},{31,9,52},{13,17,37},{15,19,50},{15,19,50},{15,19,50},{15,17,50},{15,18,11},{15,17,5},{15,17,5},{15,16,6},{14,17,11},{15,16,9},{16,17,4},
{16,17,4},{16,17,4},{16,16,8},{24,0,8},{15,17,4},{15,17,4},{15,16,5},{24,12,8},{15,16,5},{25,0,18},{16,17,9},{16,17,0},{15,17,0},{25,0,18},{30,10,18},{15,17,0},{0,17,36},{30,10,18},{0,17,36},{15,0,50},{15,0,50},{15,0,50},{15,0,50},{15,18,2},{15,18,2},{15,18,2},{15,16,2},{14,17,2},{14,17,2},{16,21,54},{16,19,40},{16,18,61},
{16,18,36},{16,20,51},{16,18,37},{16,18,1},{16,18,52},{14,19,68},{15,18,38},{17,19,22},{17,18,13},{17,18,4},{17,18,13},{24,4,51},{17,18,34},{16,18,1},{14,18,37},{28,12,51},{14,18,37},{16,20,37},{16,20,37},{16,20,37},{16,18,36},{16,19,8},{16,18,1},{16,18,1},{16,17,5},{15,18,11},{16,17,9},{17,18,4},{17,18,4},{17,18,4},{17,17,8},{25,1,8},
{16,18,1},{16,18,1},{16,17,5},{27,12,8},{16,17,5},{26,1,18},{16,19,4},{17,18,0},{16,18,0},{26,1,18},{31,11,18},{16,18,0},{0,18,36},{31,11,18},{0,18,36},{16,0,36},{16,0,36},{16,0,36},{16,0,36},{16,18,1},{16,18,1},{16,18,1},{16,17,1},{15,18,2},{15,18,2},{17,22,54},{17,20,40},{17,19,61},{17,19,36},{17,21,51},{17,19,37},{17,19,1},
{17,19,52},{15,20,60},{16,19,40},{18,20,22},{18,19,13},{18,19,4},{18,19,13},{25,5,51},{16,20,29},{17,19,1},{15,19,37},{31,12,51},{15,19,37},{17,21,37},{17,21,37},{17,21,37},{17,19,36},{17,20,8},{17,19,1},{17,19,1},{17,18,5},{16,19,8},{17,18,9},{18,19,4},{18,19,4},{18,19,4},{18,18,8},{27,0,8},{17,19,1},{17,19,1},{17,18,5},{30,12,8},
{17,18,5},{27,2,18},{17,20,4},{18,19,0},{17,19,0},{27,2,18},{30,13,18},{17,19,0},{0,19,36},{30,13,18},{0,19,36},{17,0,36},{17,0,36},{17,0,36},{17,0,36},{17,19,1},{17,19,1},{17,19,1},{17,18,1},{16,19,4},{16,19,4},{18,23,54},{18,21,40},{18,20,62},{18,20,38},{18,22,51},{18,20,27},{18,20,3},{18,19,69},{16,21,60},{17,20,54},{19,21,22},
{19,20,9},{19,20,6},{19,20,21},{29,0,51},{18,20,27},{18,20,3},{16,20,50},{30,14,51},{16,20,50},{18,22,37},{18,22,37},{18,22,37},{18,20,37},{18,21,8},{18,20,2},{18,20,2},{18,19,5},{17,20,8},{18,19,9},{19,20,5},{19,20,5},{19,20,5},{19,19,8},{28,1,8},{18,20,2},{18,20,2},{18,19,5},{31,13,8},{18,19,5},{27,5,18},{18,21,4},{19,20,2},
{18,20,2},{27,5,18},{31,14,18},{18,20,2},{0,20,50},{31,14,18},{0,20,50},{18,0,36},{18,0,36},{18,0,36},{18,0,36},{18,20,1},{18,20,1},{18,20,1},{18,19,1},{17,20,4},{17,20,4},{19,24,68},{19,22,60},{20,21,68},{19,21,50},{19,23,53},{19,22,28},{19,21,5},{19,21,53},{19,21,68},{18,21,38},{20,22,22},{20,21,13},{20,21,4},{20,21,13},{30,1,52},
{19,22,27},{19,21,4},{17,21,37},{31,15,52},{17,21,37},{19,23,50},{19,23,50},{19,23,50},{19,21,50},{19,22,11},{19,21,5},{19,21,5},{19,20,6},{18,21,11},{19,20,9},{20,21,4},{20,21,4},{20,21,4},{20,20,8},{28,4,8},{19,21,4},{19,21,4},{19,20,5},{28,16,8},{19,20,5},{31,0,18},{20,21,9},{20,21,0},{19,21,0},{31,0,18},{30,16,18},{19,21,0},
{0,21,36},{30,16,18},{0,21,36},{19,0,50},{19,0,50},{19,0,50},{19,0,50},{19,22,2},{19,22,2},{19,22,2},{19,20,2},{18,21,2},{18,21,2},{20,25,54},{20,23,40},{20,22,61},{20,22,36},{20,24,51},{20,22,37},{20,22,1},{20,22,52},{18,23,68},{19,22,38},{21,23,22},{21,22,13},{21,22,4},{21,22,13},{28,8,51},{21,22,34},{20,22,1},{18,22,37},{24,20,51},
{18,22,37},{20,24,37},{20,24,37},{20,24,37},{20,22,36},{20,23,8},{20,22,1},{20,22,1},{20,21,5},{19,22,11},{20,21,9},{21,22,4},{21,22,4},{21,22,4},{21,21,8},{29,5,8},{20,22,1},{20,22,1},{20,21,5},{31,16,8},{20,21,5},{31,3,18},{20,23,4},{21,22,0},{20,22,0},{31,3,18},{31,17,18},{20,22,0},{0,22,36},{31,17,18},{0,22,36},{20,0,36},
{20,0,36},{20,0,36},{20,0,36},{20,22,1},{20,22,1},{20,22,1},{20,21,1},{19,22,2},{19,22,2},{21,26,54},{21,24,40},{21,23,61},{21,23,36},{21,25,51},{21,23,37},{21,23,1},{21,23,52},{19,24,60},{20,23,40},{22,24,22},{22,23,13},{22,23,4},{22,23,13},{29,9,51},{20,24,29},{21,23,1},{19,23,37},{27,20,51},{19,23,37},{21,25,37},{21,25,37},{21,25,37},
{21,23,36},{21,24,8},{21,23,1},{21,23,1},{21,22,5},{20,23,8},{21,22,9},{22,23,4},{22,23,4},{22,23,4},{22,22,8},{31,4,8},{21,23,1},{21,23,1},{21,22,5},{30,18,8},{21,22,5},{31,6,18},{21,24,4},{22,23,0},{21,23,0},{31,6,18},{30,19,18},{21,23,0},{0,23,36},{30,19,18},{0,23,36},{21,0,36},{21,0,36},{21,0,36},{21,0,36},{21,23,1},
{21,23,1},{21,23,1},{21,22,1},{20,23,4},{20,23,4},{22,27,54},{22,25,40},{22,24,62},{22,24,38},{22,26,51},{22,24,27},{22,24,3},{22,23,69},{20,25,60},{21,24,54},{23,25,22},{23,24,9},{23,24,6},{23,24,21},{31,8,51},{22,24,27},{22,24,3},{20,24,50},{30,20,51},{20,24,50},{22,26,37},{22,26,37},{22,26,37},{22,24,37},{22,25,8},{22,24,2},{22,24,2},
{22,23,5},{21,24,8},{22,23,9},{23,24,5},{23,24,5},{23,24,5},{23,23,8},{31,7,8},{22,24,2},{22,24,2},{22,23,5},{31,19,8},{22,23,5},{31,9,18},{22,25,4},{23,24,2},{22,24,2},{31,9,18},{27,22,18},{22,24,2},{0,24,50},{27,22,18},{0,24,50},{22,0,36},{22,0,36},{22,0,36},{22,0,36},{22,24,1},{22,24,1},{22,24,1},{22,23,1},{21,24,4},
{21,24,4},{23,28,68},{23,26,60},{24,25,68},{23,25,50},{23,27,53},{23,26,28},{23,25,5},{23,25,53},{23,25,68},{22,25,38},{24,26,22},{24,25,13},{24,25,4},{24,25,13},{31,11,52},{23,26,27},{23,25,4},{21,25,37},{31,21,52},{21,25,37},{23,27,50},{23,27,50},{23,27,50},{23,25,50},{23,26,11},{23,25,5},{23,25,5},{23,24,6},{22,25,11},{23,24,9},{24,25,4},
{24,25,4},{24,25,4},{24,24,8},{28,16,8},{23,25,4},{23,25,4},{23,24,5},{24,24,8},{23,24,5},{31,12,18},{24,25,9},{24,25,0},{23,25,0},{31,12,18},{30,22,18},{23,25,0},{0,25,36},{30,22,18},{0,25,36},{23,0,50},{23,0,50},{23,0,50},{23,0,50},{23,26,2},{23,26,2},{23,26,2},{23,24,2},{22,25,2},{22,25,2},{24,29,54},{24,27,40},{24,26,61},
{24,26,36},{24,28,51},{24,26,37},{24,26,1},{24,26,52},{22,27,68},{23,26,38},{25,27,22},{25,26,13},{25,26,4},{25,26,13},{28,20,51},{25,26,34},{24,26,1},{22,26,37},{28,24,51},{22,26,37},{24,28,37},{24,28,37},{24,28,37},{24,26,36},{24,27,8},{24,26,1},{24,26,1},{24,25,5},{23,26,11},{24,25,9},{25,26,4},{25,26,4},{25,26,4},{25,25,8},{29,17,8},
{24,26,1},{24,26,1},{24,25,5},{27,24,8},{24,25,5},{31,15,18},{24,27,4},{25,26,0},{24,26,0},{31,15,18},{31,23,18},{24,26,0},{0,26,36},{31,23,18},{0,26,36},{24,0,36},{24,0,36},{24,0,36},{24,0,36},{24,26,1},{24,26,1},{24,26,1},{24,25,1},{23,26,2},{23,26,2},{25,30,54},{25,28,40},{25,27,61},{25,27,36},{25,29,51},{25,27,37},{25,27,1},
{25,27,52},{23,28,60},{24,27,40},{26,28,22},{26,27,13},{26,27,4},{26,27,13},{29,21,51},{24,28,29},{25,27,1},{23,27,37},{31,24,51},{23,27,37},{25,29,37},{25,29,37},{25,29,37},{25,27,36},{25,28,8},{25,27,1},{25,27,1},{25,26,5},{24,27,8},{25,26,9},{26,27,4},{26,27,4},{26,27,4},{26,26,8},{31,16,8},{25,27,1},{25,27,1},{25,26,5},{30,24,8},
{25,26,5},{31,18,18},{25,28,4},{26,27,0},{25,27,0},{31,18,18},{30,25,18},{25,27,0},{0,27,36},{30,25,18},{0,27,36},{25,0,36},{25,0,36},{25,0,36},{25,0,36},{25,27,1},{25,27,1},{25,27,1},{25,26,1},{24,27,4},{24,27,4},{26,31,54},{26,29,40},{26,28,62},{26,28,38},{26,30,51},{26,28,27},{26,28,3},{26,27,69},{24,29,60},{25,28,54},{27,29,22},
{27,28,9},{27,28,6},{27,28,21},{31,20,51},{26,28,27},{26,28,3},{24,28,50},{30,26,51},{24,28,50},{26,30,37},{26,30,37},{26,30,37},{26,28,37},{26,29,8},{26,28,2},{26,28,2},{26,27,5},{25,28,8},{26,27,9},{27,28,5},{27,28,5},{27,28,5},{27,27,8},{31,19,8},{26,28,2},{26,28,2},{26,27,5},{31,25,8},{26,27,5},{31,21,18},{26,29,4},{27,28,2},
{26,28,2},{31,21,18},{31,26,18},{26,28,2},{0,28,50},{31,26,18},{0,28,50},{26,0,36},{26,0,36},{26,0,36},{26,0,36},{26,28,1},{26,28,1},{26,28,1},{26,27,1},{25,28,4},{25,28,4},{28,30,86},{27,30,60},{28,29,68},{27,29,50},{27,31,53},{27,30,28},{27,29,5},{27,29,53},{27,29,68},{26,29,38},{28,30,22},{28,29,13},{28,29,4},{28,29,13},{31,23,52},
{27,30,27},{27,29,4},{25,29,37},{31,27,52},{25,29,37},{27,31,50},{27,31,50},{27,31,50},{27,29,50},{27,30,11},{27,29,5},{27,29,5},{27,28,6},{26,29,11},{27,28,9},{28,29,4},{28,29,4},{28,29,4},{28,28,8},{28,28,8},{27,29,4},{27,29,4},{27,28,5},{28,28,8},{27,28,5},{31,24,18},{28,29,9},{28,29,0},{27,29,0},{31,24,18},{30,28,18},{27,29,0},
{0,29,36},{30,28,18},{0,29,36},{27,0,50},{27,0,50},{27,0,50},{27,0,50},{27,30,2},{27,30,2},{27,30,2},{27,28,2},{26,29,2},{26,29,2},{29,31,86},{28,31,40},{28,30,61},{28,30,36},{28,31,72},{28,30,37},{28,30,1},{28,30,52},{26,31,68},{27,30,38},{29,31,22},{29,30,13},{29,30,4},{29,30,13},{31,26,52},{29,30,34},{28,30,1},{26,30,37},{30,29,52},
{26,30,37},{28,31,40},{28,31,40},{28,31,40},{28,30,36},{28,31,8},{28,30,1},{28,30,1},{28,29,5},{27,30,11},{28,29,9},{29,30,4},{29,30,4},{29,30,4},{29,29,8},{29,29,8},{28,30,1},{28,30,1},{28,29,5},{31,28,8},{28,29,5},{31,27,18},{28,31,4},{29,30,0},{28,30,0},{31,27,18},{31,29,18},{28,30,0},{0,30,36},{31,29,18},{0,30,36},{28,0,36},
{28,0,36},{28,0,36},{28,0,36},{28,30,1},{28,30,1},{28,30,1},{28,29,1},{27,30,2},{27,30,2},{30,31,104},{30,31,77},{29,31,61},{29,31,36},{30,31,116},{29,31,37},{29,31,1},{29,31,52},{28,31,72},{28,31,40},{30,31,40},{30,31,13},{30,31,4},{30,31,13},{31,29,52},{30,31,34},{29,31,1},{27,31,37},{31,30,52},{27,31,37},{29,31,61},{29,31,61},{29,31,61},
{29,31,36},{29,31,26},{29,31,1},{29,31,1},{29,30,5},{28,31,8},{29,30,9},{30,31,4},{30,31,4},{30,31,4},{30,30,8},{31,28,8},{29,31,1},{29,31,1},{29,30,5},{30,30,8},{29,30,5},{31,30,18},{30,31,9},{30,31,0},{29,31,0},{31,30,18},{30,31,18},{29,31,0},{0,31,36},{30,31,18},{0,31,36},{29,0,36},{29,0,36},{29,0,36},{29,0,36},{29,31,1},
{29,31,1},{29,31,1},{29,30,1},{28,31,4},{28,31,4},{31,31,68},{31,31,68},{31,31,68},{30,31,45},{31,31,68},{30,31,34},{30,31,25},{30,31,1},{30,31,23},{30,31,5},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{31,31,68},{31,31,68},{31,31,68},{30,31,45},{30,31,52},{30,31,25},{30,31,25},
{30,31,1},{30,31,14},{30,31,5},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,36},{30,0,36},{30,0,36},{30,0,36},{30,31,16},{30,31,16},{30,31,16},{30,31,1},{30,31,5},
{30,31,5},{0,4,72},{0,3,10},{0,2,1},{0,2,26},{0,3,154},{0,2,99},{0,2,51},{0,1,115},{0,1,173},{0,1,119},{0,4,72},{0,3,10},{0,2,1},{0,2,26},{1,1,154},{0,2,99},{0,2,51},{0,1,115},{3,0,154},{0,1,115},{0,2,0},{0,2,0},{0,2,0},{0,1,0},{0,1,13},{0,1,4},{0,1,4},{0,0,25},{0,0,25},{0,0,25},{0,2,0},
{0,2,0},{0,2,0},{0,1,0},{0,1,13},{0,1,4},{0,1,4},{0,0,25},{1,0,13},{0,0,25},{0,4,72},{0,3,10},{0,2,1},{0,2,26},{0,4,72},{4,0,72},{0,2,26},{0,1,90},{4,0,72},{0,1,90},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,7,81},{0,5,13},{0,3,35},
{0,3,19},{0,5,244},{0,3,115},{0,3,35},{0,2,139},{0,2,308},{0,2,164},{0,7,81},{0,5,13},{1,3,26},{0,3,19},{2,1,244},{0,3,115},{0,3,35},{0,2,139},{5,0,244},{0,2,139},{0,5,9},{0,5,9},{0,5,9},{0,2,18},{0,3,50},{0,2,13},{0,2,13},{0,1,29},{0,1,72},{0,1,33},{0,5,9},{0,5,9},{0,5,9},{0,2,18},{1,1,50},
{0,2,13},{0,2,13},{0,1,29},{3,0,50},{0,1,29},{1,5,72},{0,5,4},{1,3,1},{0,3,10},{1,5,72},{7,0,72},{0,3,10},{0,2,90},{7,0,72},{0,2,90},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,1},{0,1,1},{0,1,1},{0,1,4},{0,1,8},{0,1,8},{1,8,145},{1,6,77},{1,4,98},{1,4,82},{0,8,243},{0,5,76},{0,4,1},
{0,3,115},{0,4,364},{0,3,179},{1,8,81},{1,6,13},{2,4,25},{1,4,18},{4,0,243},{0,5,76},{0,4,1},{0,3,115},{8,0,243},{0,3,115},{1,6,73},{1,6,73},{1,6,73},{1,3,82},{0,6,50},{0,4,1},{0,4,1},{0,2,26},{0,3,114},{0,2,51},{1,6,9},{1,6,9},{1,6,9},{1,3,18},{3,0,50},{0,4,1},{0,4,1},{0,2,26},{6,0,50},
{0,2,26},{5,0,72},{1,6,4},{2,4,0},{0,4,1},{5,0,72},{10,0,72},{0,4,1},{0,3,90},{10,0,72},{0,3,90},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,26},{0,2,26},{2,9,162},{2,7,94},{2,5,115},{2,5,99},{1,9,244},{1,6,77},{1,5,2},{1,4,106},{0,5,300},{0,4,105},{2,9,81},
{2,7,13},{3,5,25},{2,5,18},{5,1,243},{1,6,76},{1,5,1},{0,4,89},{11,0,243},{0,4,89},{2,7,90},{2,7,90},{2,7,90},{2,4,94},{1,7,51},{1,5,2},{1,5,2},{1,3,27},{0,4,74},{0,3,35},{2,7,9},{2,7,9},{2,7,9},{2,4,13},{4,1,50},{1,5,1},{1,5,1},{0,4,25},{9,0,50},{0,4,25},{6,1,72},{2,7,4},{3,5,0},
{1,5,1},{6,1,72},{13,0,72},{1,5,1},{0,4,80},{13,0,72},{0,4,80},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{1,5,1},{1,5,1},{1,5,1},{1,3,2},{0,3,10},{0,3,10},{3,10,154},{3,8,84},{3,6,117},{3,6,85},{2,10,244},{2,7,75},{2,6,2},{2,5,106},{0,7,253},{0,5,100},{3,10,90},{3,8,20},{4,6,26},{3,6,21},{7,0,244},
{2,7,75},{2,6,2},{0,5,91},{14,0,244},{0,5,91},{3,8,80},{3,8,80},{3,8,80},{3,6,84},{2,8,52},{2,6,1},{2,6,1},{2,5,25},{0,6,52},{0,5,19},{3,8,16},{3,8,16},{3,8,16},{3,6,20},{4,4,50},{2,6,1},{2,6,1},{0,5,10},{12,0,50},{0,5,10},{8,0,72},{3,8,4},{4,6,1},{2,6,1},{8,0,72},{16,0,72},{2,6,1},
{0,5,90},{16,0,72},{0,5,90},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{2,6,1},{2,6,1},{2,6,1},{2,4,1},{0,5,10},{0,5,10},{4,11,162},{4,9,94},{4,7,116},{4,7,100},{3,11,244},{3,8,76},{3,7,2},{3,6,106},{1,8,253},{1,6,100},{4,11,81},{4,9,13},{5,7,26},{4,7,19},{8,1,244},{3,8,76},{3,7,2},{1,6,91},{17,0,244},
{1,6,91},{4,9,90},{4,9,90},{4,9,90},{4,6,99},{3,9,52},{3,7,1},{3,7,1},{3,6,25},{1,7,52},{1,6,19},{4,9,9},{4,9,9},{4,9,9},{4,6,18},{5,5,50},{3,7,1},{3,7,1},{1,6,10},{15,0,50},{1,6,10},{9,1,72},{4,9,4},{5,7,1},{3,7,1},{9,1,72},{19,0,72},{3,7,1},{0,6,90},{19,0,72},{0,6,90},{4,0,90},
{4,0,90},{4,0,90},{4,0,90},{3,7,1},{3,7,1},{3,7,1},{3,5,1},{1,6,10},{1,6,10},{5,12,162},{5,10,94},{5,8,115},{5,8,99},{4,12,244},{4,9,77},{4,8,2},{4,7,116},{2,9,253},{2,7,100},{5,12,81},{5,10,13},{6,8,25},{5,8,18},{8,4,243},{4,9,76},{4,8,1},{2,7,91},{20,0,243},{2,7,91},{5,10,90},{5,10,90},{5,10,90},
{5,7,99},{4,10,51},{4,8,2},{4,8,2},{4,6,27},{2,8,50},{2,7,19},{5,10,9},{5,10,9},{5,10,9},{5,7,18},{9,0,50},{4,8,1},{4,8,1},{2,7,10},{18,0,50},{2,7,10},{11,0,72},{5,10,4},{6,8,0},{4,8,1},{11,0,72},{22,0,72},{4,8,1},{0,7,90},{22,0,72},{0,7,90},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,8,1},
{4,8,1},{4,8,1},{4,6,2},{2,7,10},{2,7,10},{6,13,162},{6,11,94},{6,9,115},{6,9,99},{5,13,244},{5,10,77},{5,9,2},{5,8,106},{3,10,253},{3,8,84},{6,13,81},{6,11,13},{7,9,25},{6,9,18},{9,5,243},{5,10,76},{5,9,1},{3,8,80},{23,0,243},{3,8,80},{6,11,90},{6,11,90},{6,11,90},{6,8,94},{5,11,51},{5,9,2},{5,9,2},
{5,7,27},{3,9,50},{3,8,20},{6,11,9},{6,11,9},{6,11,9},{6,8,13},{10,1,50},{5,9,1},{5,9,1},{3,8,16},{21,0,50},{3,8,16},{12,1,72},{6,11,4},{7,9,0},{5,9,1},{12,1,72},{25,0,72},{5,9,1},{0,8,80},{25,0,72},{0,8,80},{6,0,90},{6,0,90},{6,0,90},{6,0,90},{5,9,1},{5,9,1},{5,9,1},{5,7,2},{3,8,4},
{3,8,4},{7,14,154},{7,12,84},{7,10,117},{7,10,85},{6,14,244},{6,11,75},{6,10,2},{6,9,106},{4,11,253},{4,9,100},{7,14,90},{7,12,20},{8,10,26},{7,10,21},{13,0,244},{6,11,75},{6,10,2},{4,9,91},{26,0,244},{4,9,91},{7,12,80},{7,12,80},{7,12,80},{7,10,84},{6,12,52},{6,10,1},{6,10,1},{6,9,25},{4,10,52},{4,9,19},{7,12,16},
{7,12,16},{7,12,16},{7,10,20},{12,0,50},{6,10,1},{6,10,1},{4,9,10},{24,0,50},{4,9,10},{12,4,72},{7,12,4},{8,10,1},{6,10,1},{12,4,72},{28,0,72},{6,10,1},{0,9,90},{28,0,72},{0,9,90},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{6,10,1},{6,10,1},{6,10,1},{6,8,1},{4,9,10},{4,9,10},{8,15,162},{8,13,94},{8,11,116},
{8,11,100},{7,15,244},{7,12,76},{7,11,2},{7,10,106},{5,12,253},{5,10,100},{8,15,81},{8,13,13},{9,11,26},{8,11,19},{14,1,244},{7,12,76},{7,11,2},{5,10,91},{29,0,244},{5,10,91},{8,13,90},{8,13,90},{8,13,90},{8,10,99},{7,13,52},{7,11,1},{7,11,1},{7,10,25},{5,11,52},{5,10,19},{8,13,9},{8,13,9},{8,13,9},{8,10,18},{13,1,50},
{7,11,1},{7,11,1},{5,10,10},{27,0,50},{5,10,10},{13,5,72},{8,13,4},{9,11,1},{7,11,1},{13,5,72},{31,0,72},{7,11,1},{0,10,90},{31,0,72},{0,10,90},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{7,11,1},{7,11,1},{7,11,1},{7,9,1},{5,10,10},{5,10,10},{9,16,162},{9,14,94},{9,12,115},{9,12,99},{8,16,244},{8,13,77},{8,12,2},
{8,11,116},{6,13,253},{6,11,100},{9,16,81},{9,14,13},{10,12,25},{9,12,18},{16,0,243},{8,13,76},{8,12,1},{6,11,91},{24,4,243},{6,11,91},{9,14,90},{9,14,90},{9,14,90},{9,11,99},{8,14,51},{8,12,2},{8,12,2},{8,10,27},{6,12,50},{6,11,19},{9,14,9},{9,14,9},{9,14,9},{9,11,18},{15,0,50},{8,12,1},{8,12,1},{6,11,10},{30,0,50},
{6,11,10},{17,0,72},{9,14,4},{10,12,0},{8,12,1},{17,0,72},{30,2,72},{8,12,1},{0,11,90},{30,2,72},{0,11,90},{9,0,90},{9,0,90},{9,0,90},{9,0,90},{8,12,1},{8,12,1},{8,12,1},{8,10,2},{6,11,10},{6,11,10},{10,17,162},{10,15,94},{10,13,115},{10,13,99},{9,17,244},{9,14,77},{9,13,2},{9,12,106},{7,14,253},{7,12,84},{10,17,81},
{10,15,13},{11,13,25},{10,13,18},{17,1,243},{9,14,76},{9,13,1},{7,12,80},{27,4,243},{7,12,80},{10,15,90},{10,15,90},{10,15,90},{10,12,94},{9,15,51},{9,13,2},{9,13,2},{9,11,27},{7,13,50},{7,12,20},{10,15,9},{10,15,9},{10,15,9},{10,12,13},{16,1,50},{9,13,1},{9,13,1},{7,12,16},{31,1,50},{7,12,16},{18,1,72},{10,15,4},{11,13,0},
{9,13,1},{18,1,72},{31,3,72},{9,13,1},{0,12,80},{31,3,72},{0,12,80},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,13,1},{9,13,1},{9,13,1},{9,11,2},{7,12,4},{7,12,4},{11,18,154},{11,16,84},{11,14,117},{11,14,85},{10,18,244},{10,15,75},{10,14,2},{10,13,106},{8,15,253},{8,13,100},{11,18,90},{11,16,20},{12,14,26},{11,14,21},{19,0,244},
{10,15,75},{10,14,2},{8,13,91},{30,4,244},{8,13,91},{11,16,80},{11,16,80},{11,16,80},{11,14,84},{10,16,52},{10,14,1},{10,14,1},{10,13,25},{8,14,52},{8,13,19},{11,16,16},{11,16,16},{11,16,16},{11,14,20},{16,4,50},{10,14,1},{10,14,1},{8,13,10},{28,4,50},{8,13,10},{20,0,72},{11,16,4},{12,14,1},{10,14,1},{20,0,72},{24,8,72},{10,14,1},
{0,13,90},{24,8,72},{0,13,90},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,14,1},{10,14,1},{10,14,1},{10,12,1},{8,13,10},{8,13,10},{12,19,162},{12,17,94},{12,15,116},{12,15,100},{11,19,244},{11,16,76},{11,15,2},{11,14,106},{9,16,253},{9,14,100},{12,19,81},{12,17,13},{13,15,26},{12,15,19},{20,1,244},{11,16,76},{11,15,2},{9,14,91},{31,5,244},
{9,14,91},{12,17,90},{12,17,90},{12,17,90},{12,14,99},{11,17,52},{11,15,1},{11,15,1},{11,14,25},{9,15,52},{9,14,19},{12,17,9},{12,17,9},{12,17,9},{12,14,18},{17,5,50},{11,15,1},{11,15,1},{9,14,10},{31,4,50},{9,14,10},{21,1,72},{12,17,4},{13,15,1},{11,15,1},{21,1,72},{27,8,72},{11,15,1},{0,14,90},{27,8,72},{0,14,90},{12,0,90},
{12,0,90},{12,0,90},{12,0,90},{11,15,1},{11,15,1},{11,15,1},{11,13,1},{9,14,10},{9,14,10},{13,20,162},{13,18,94},{13,16,115},{13,16,99},{12,20,244},{12,17,77},{12,16,2},{12,15,116},{10,17,253},{10,15,100},{13,20,81},{13,18,13},{14,16,25},{13,16,18},{20,4,243},{12,17,76},{12,16,1},{10,15,91},{28,8,243},{10,15,91},{13,18,90},{13,18,90},{13,18,90},
{13,15,99},{12,18,51},{12,16,2},{12,16,2},{12,14,27},{10,16,50},{10,15,19},{13,18,9},{13,18,9},{13,18,9},{13,15,18},{21,0,50},{12,16,1},{12,16,1},{10,15,10},{30,6,50},{10,15,10},{23,0,72},{13,18,4},{14,16,0},{12,16,1},{23,0,72},{30,8,72},{12,16,1},{0,15,90},{30,8,72},{0,15,90},{13,0,90},{13,0,90},{13,0,90},{13,0,90},{12,16,1},
{12,16,1},{12,16,1},{12,14,2},{10,15,10},{10,15,10},{14,21,162},{14,19,94},{14,17,115},{14,17,99},{13,21,244},{13,18,77},{13,17,2},{13,16,106},{11,18,253},{11,16,84},{14,21,81},{14,19,13},{15,17,25},{14,17,18},{21,5,243},{13,18,76},{13,17,1},{11,16,80},{31,8,243},{11,16,80},{14,19,90},{14,19,90},{14,19,90},{14,16,94},{13,19,51},{13,17,2},{13,17,2},
{13,15,27},{11,17,50},{11,16,20},{14,19,9},{14,19,9},{14,19,9},{14,16,13},{22,1,50},{13,17,1},{13,17,1},{11,16,16},{31,7,50},{11,16,16},{24,1,72},{14,19,4},{15,17,0},{13,17,1},{24,1,72},{31,9,72},{13,17,1},{0,16,80},{31,9,72},{0,16,80},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{13,17,1},{13,17,1},{13,17,1},{13,15,2},{11,16,4},
{11,16,4},{15,22,154},{15,20,84},{15,18,117},{15,18,85},{14,22,244},{14,19,75},{14,18,2},{14,17,106},{12,19,253},{12,17,100},{15,22,90},{15,20,20},{16,18,26},{15,18,21},{25,0,244},{14,19,75},{14,18,2},{12,17,91},{30,10,244},{12,17,91},{15,20,80},{15,20,80},{15,20,80},{15,18,84},{14,20,52},{14,18,1},{14,18,1},{14,17,25},{12,18,52},{12,17,19},{15,20,16},
{15,20,16},{15,20,16},{15,18,20},{24,0,50},{14,18,1},{14,18,1},{12,17,10},{24,12,50},{12,17,10},{24,4,72},{15,20,4},{16,18,1},{14,18,1},{24,4,72},{28,12,72},{14,18,1},{0,17,90},{28,12,72},{0,17,90},{15,0,80},{15,0,80},{15,0,80},{15,0,80},{14,18,1},{14,18,1},{14,18,1},{14,16,1},{12,17,10},{12,17,10},{16,23,162},{16,21,94},{16,19,116},
{16,19,100},{15,23,244},{15,20,76},{15,19,2},{15,18,106},{13,20,253},{13,18,100},{16,23,81},{16,21,13},{17,19,26},{16,19,19},{26,1,244},{15,20,76},{15,19,2},{13,18,91},{31,11,244},{13,18,91},{16,21,90},{16,21,90},{16,21,90},{16,18,99},{15,21,52},{15,19,1},{15,19,1},{15,18,25},{13,19,52},{13,18,19},{16,21,9},{16,21,9},{16,21,9},{16,18,18},{25,1,50},
{15,19,1},{15,19,1},{13,18,10},{27,12,50},{13,18,10},{25,5,72},{16,21,4},{17,19,1},{15,19,1},{25,5,72},{31,12,72},{15,19,1},{0,18,90},{31,12,72},{0,18,90},{16,0,90},{16,0,90},{16,0,90},{16,0,90},{15,19,1},{15,19,1},{15,19,1},{15,17,1},{13,18,10},{13,18,10},{17,24,162},{17,22,94},{17,20,115},{17,20,99},{16,24,244},{16,21,77},{16,20,2},
{16,19,116},{14,21,253},{14,19,100},{17,24,81},{17,22,13},{18,20,25},{17,20,18},{28,0,243},{16,21,76},{16,20,1},{14,19,91},{24,16,243},{14,19,91},{17,22,90},{17,22,90},{17,22,90},{17,19,99},{16,22,51},{16,20,2},{16,20,2},{16,18,27},{14,20,50},{14,19,19},{17,22,9},{17,22,9},{17,22,9},{17,19,18},{27,0,50},{16,20,1},{16,20,1},{14,19,10},{30,12,50},
{14,19,10},{29,0,72},{17,22,4},{18,20,0},{16,20,1},{29,0,72},{30,14,72},{16,20,1},{0,19,90},{30,14,72},{0,19,90},{17,0,90},{17,0,90},{17,0,90},{17,0,90},{16,20,1},{16,20,1},{16,20,1},{16,18,2},{14,19,10},{14,19,10},{18,25,162},{18,23,94},{18,21,115},{18,21,99},{17,25,244},{17,22,77},{17,21,2},{17,20,106},{15,22,253},{15,20,84},{18,25,81},
{18,23,13},{19,21,25},{18,21,18},{29,1,243},{17,22,76},{17,21,1},{15,20,80},{27,16,243},{15,20,80},{18,23,90},{18,23,90},{18,23,90},{18,20,94},{17,23,51},{17,21,2},{17,21,2},{17,19,27},{15,21,50},{15,20,20},{18,23,9},{18,23,9},{18,23,9},{18,20,13},{28,1,50},{17,21,1},{17,21,1},{15,20,16},{31,13,50},{15,20,16},{30,1,72},{18,23,4},{19,21,0},
{17,21,1},{30,1,72},{31,15,72},{17,21,1},{0,20,80},{31,15,72},{0,20,80},{18,0,90},{18,0,90},{18,0,90},{18,0,90},{17,21,1},{17,21,1},{17,21,1},{17,19,2},{15,20,4},{15,20,4},{19,26,154},{19,24,84},{19,22,117},{19,22,85},{18,26,244},{18,23,75},{18,22,2},{18,21,106},{16,23,253},{16,21,100},{19,26,90},{19,24,20},{20,22,26},{19,22,21},{31,0,244},
{18,23,75},{18,22,2},{16,21,91},{30,16,244},{16,21,91},{19,24,80},{19,24,80},{19,24,80},{19,22,84},{18,24,52},{18,22,1},{18,22,1},{18,21,25},{16,22,52},{16,21,19},{19,24,16},{19,24,16},{19,24,16},{19,22,20},{28,4,50},{18,22,1},{18,22,1},{16,21,10},{28,16,50},{16,21,10},{28,8,72},{19,24,4},{20,22,1},{18,22,1},{28,8,72},{24,20,72},{18,22,1},
{0,21,90},{24,20,72},{0,21,90},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,22,1},{18,22,1},{18,22,1},{18,20,1},{16,21,10},{16,21,10},{20,27,162},{20,25,94},{20,23,116},{20,23,100},{19,27,244},{19,24,76},{19,23,2},{19,22,106},{17,24,253},{17,22,100},{20,27,81},{20,25,13},{21,23,26},{20,23,19},{31,3,244},{19,24,76},{19,23,2},{17,22,91},{31,17,244},
{17,22,91},{20,25,90},{20,25,90},{20,25,90},{20,22,99},{19,25,52},{19,23,1},{19,23,1},{19,22,25},{17,23,52},{17,22,19},{20,25,9},{20,25,9},{20,25,9},{20,22,18},{29,5,50},{19,23,1},{19,23,1},{17,22,10},{31,16,50},{17,22,10},{29,9,72},{20,25,4},{21,23,1},{19,23,1},{29,9,72},{27,20,72},{19,23,1},{0,22,90},{27,20,72},{0,22,90},{20,0,90},
{20,0,90},{20,0,90},{20,0,90},{19,23,1},{19,23,1},{19,23,1},{19,21,1},{17,22,10},{17,22,10},{21,28,162},{21,26,94},{21,24,115},{21,24,99},{20,28,244},{20,25,77},{20,24,2},{20,23,116},{18,25,253},{18,23,100},{21,28,81},{21,26,13},{22,24,25},{21,24,18},{28,12,243},{20,25,76},{20,24,1},{18,23,91},{28,20,243},{18,23,91},{21,26,90},{21,26,90},{21,26,90},
{21,23,99},{20,26,51},{20,24,2},{20,24,2},{20,22,27},{18,24,50},{18,23,19},{21,26,9},{21,26,9},{21,26,9},{21,23,18},{31,4,50},{20,24,1},{20,24,1},{18,23,10},{30,18,50},{18,23,10},{31,8,72},{21,26,4},{22,24,0},{20,24,1},{31,8,72},{30,20,72},{20,24,1},{0,23,90},{30,20,72},{0,23,90},{21,0,90},{21,0,90},{21,0,90},{21,0,90},{20,24,1},
{20,24,1},{20,24,1},{20,22,2},{18,23,10},{18,23,10},{22,29,162},{22,27,94},{22,25,115},{22,25,99},{21,29,244},{21,26,77},{21,25,2},{21,24,106},{19,26,253},{19,24,84},{22,29,81},{22,27,13},{23,25,25},{22,25,18},{29,13,243},{21,26,76},{21,25,1},{19,24,80},{31,20,243},{19,24,80},{22,27,90},{22,27,90},{22,27,90},{22,24,94},{21,27,51},{21,25,2},{21,25,2},
{21,23,27},{19,25,50},{19,24,20},{22,27,9},{22,27,9},{22,27,9},{22,24,13},{31,7,50},{21,25,1},{21,25,1},{19,24,16},{31,19,50},{19,24,16},{31,11,72},{22,27,4},{23,25,0},{21,25,1},{31,11,72},{31,21,72},{21,25,1},{0,24,80},{31,21,72},{0,24,80},{22,0,90},{22,0,90},{22,0,90},{22,0,90},{21,25,1},{21,25,1},{21,25,1},{21,23,2},{19,24,4},
{19,24,4},{23,30,154},{23,28,84},{23,26,117},{23,26,85},{22,30,244},{22,27,75},{22,26,2},{22,25,106},{20,27,253},{20,25,100},{23,30,90},{23,28,20},{24,26,26},{23,26,21},{31,12,244},{22,27,75},{22,26,2},{20,25,91},{30,22,244},{20,25,91},{23,28,80},{23,28,80},{23,28,80},{23,26,84},{22,28,52},{22,26,1},{22,26,1},{22,25,25},{20,26,52},{20,25,19},{23,28,16},
{23,28,16},{23,28,16},{23,26,20},{28,16,50},{22,26,1},{22,26,1},{20,25,10},{24,24,50},{20,25,10},{28,20,72},{23,28,4},{24,26,1},{22,26,1},{28,20,72},{28,24,72},{22,26,1},{0,25,90},{28,24,72},{0,25,90},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{22,26,1},{22,26,1},{22,26,1},{22,24,1},{20,25,10},{20,25,10},{24,31,162},{24,29,94},{24,27,116},
{24,27,100},{23,31,244},{23,28,76},{23,27,2},{23,26,106},{21,28,253},{21,26,100},{24,31,81},{24,29,13},{25,27,26},{24,27,19},{31,15,244},{23,28,76},{23,27,2},{21,26,91},{31,23,244},{21,26,91},{24,29,90},{24,29,90},{24,29,90},{24,26,99},{23,29,52},{23,27,1},{23,27,1},{23,26,25},{21,27,52},{21,26,19},{24,29,9},{24,29,9},{24,29,9},{24,26,18},{29,17,50},
{23,27,1},{23,27,1},{21,26,10},{27,24,50},{21,26,10},{29,21,72},{24,29,4},{25,27,1},{23,27,1},{29,21,72},{31,24,72},{23,27,1},{0,26,90},{31,24,72},{0,26,90},{24,0,90},{24,0,90},{24,0,90},{24,0,90},{23,27,1},{23,27,1},{23,27,1},{23,25,1},{21,26,10},{21,26,10},{25,31,180},{25,30,94},{25,28,115},{25,28,99},{24,31,265},{24,29,77},{24,28,2},
{24,27,116},{22,29,253},{22,27,100},{26,30,97},{25,30,13},{26,28,25},{25,28,18},{28,24,243},{24,29,76},{24,28,1},{22,27,91},{24,28,243},{22,27,91},{25,30,90},{25,30,90},{25,30,90},{25,27,99},{24,30,51},{24,28,2},{24,28,2},{24,26,27},{22,28,50},{22,27,19},{25,30,9},{25,30,9},{25,30,9},{25,27,18},{31,16,50},{24,28,1},{24,28,1},{22,27,10},{30,24,50},
{22,27,10},{31,20,72},{25,30,4},{26,28,0},{24,28,1},{31,20,72},{30,26,72},{24,28,1},{0,27,90},{30,26,72},{0,27,90},{25,0,90},{25,0,90},{25,0,90},{25,0,90},{24,28,1},{24,28,1},{24,28,1},{24,26,2},{22,27,10},{22,27,10},{26,31,234},{26,31,94},{26,29,115},{26,29,99},{26,31,325},{25,30,77},{25,29,2},{25,28,106},{23,30,253},{23,28,84},{27,31,97},
{26,31,13},{27,29,25},{26,29,18},{29,25,243},{25,30,76},{25,29,1},{23,28,80},{27,28,243},{23,28,80},{26,31,90},{26,31,90},{26,31,90},{26,28,94},{25,31,51},{25,29,2},{25,29,2},{25,27,27},{23,29,50},{23,28,20},{26,31,9},{26,31,9},{26,31,9},{26,28,13},{31,19,50},{25,29,1},{25,29,1},{23,28,16},{31,25,50},{23,28,16},{31,23,72},{26,31,4},{27,29,0},
{25,29,1},{31,23,72},{31,27,72},{25,29,1},{0,28,80},{31,27,72},{0,28,80},{26,0,90},{26,0,90},{26,0,90},{26,0,90},{25,29,1},{25,29,1},{25,29,1},{25,27,2},{23,28,4},{23,28,4},{27,31,314},{27,31,105},{27,30,117},{27,30,85},{27,31,347},{26,31,75},{26,30,2},{26,29,106},{24,31,253},{24,29,100},{28,31,115},{28,31,35},{28,30,26},{27,30,21},{31,24,244},
{26,31,75},{26,30,2},{24,29,91},{30,28,244},{24,29,91},{27,31,89},{27,31,89},{27,31,89},{27,30,84},{26,31,82},{26,30,1},{26,30,1},{26,29,25},{24,30,52},{24,29,19},{28,30,25},{28,30,25},{28,30,25},{27,30,20},{28,28,50},{26,30,1},{26,30,1},{24,29,10},{28,28,50},{24,29,10},{31,26,74},{28,31,10},{28,30,1},{26,30,1},{31,26,74},{30,29,74},{26,30,1},
{0,29,90},{30,29,74},{0,29,90},{27,0,80},{27,0,80},{27,0,80},{27,0,80},{26,30,1},{26,30,1},{26,30,1},{26,28,1},{24,29,10},{24,29,10},{28,31,371},{28,31,179},{28,31,115},{28,31,99},{28,31,387},{27,31,122},{27,31,1},{27,30,89},{26,31,279},{25,30,83},{29,31,146},{29,31,61},{29,31,25},{28,31,18},{31,27,221},{28,31,98},{27,31,1},{25,30,74},{31,29,221},
{25,30,74},{28,31,115},{28,31,115},{28,31,115},{28,30,99},{27,31,122},{27,31,1},{27,31,1},{27,30,25},{25,31,52},{25,30,19},{29,31,25},{29,31,25},{29,31,25},{28,30,18},{29,29,50},{27,31,1},{27,31,1},{25,30,10},{31,28,50},{25,30,10},{31,29,61},{30,31,34},{29,31,0},{27,31,0},{31,29,61},{31,30,61},{27,31,0},{0,30,73},{31,30,61},{0,30,73},{28,0,90},
{28,0,90},{28,0,90},{28,0,90},{27,31,1},{27,31,1},{27,31,1},{27,29,1},{25,30,10},{25,30,10},{29,31,275},{29,31,190},{29,31,154},{29,31,99},{29,31,270},{28,31,99},{28,31,35},{28,31,35},{28,31,195},{26,31,19},{30,31,70},{30,31,43},{30,31,34},{29,31,18},{31,29,94},{29,31,49},{29,31,13},{26,31,10},{31,30,94},{26,31,10},{29,31,154},{29,31,154},{29,31,154},
{29,31,99},{29,31,149},{28,31,35},{28,31,35},{28,30,27},{27,31,77},{26,31,19},{30,31,34},{30,31,34},{30,31,34},{29,31,18},{31,28,50},{29,31,13},{29,31,13},{26,31,10},{30,30,50},{26,31,10},{31,30,9},{31,31,9},{30,31,9},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{29,0,90},{29,0,90},{29,0,90},{29,0,90},{28,31,10},
{28,31,10},{28,31,10},{28,30,2},{26,31,10},{26,31,10},{30,31,162},{30,31,135},{30,31,126},{30,31,99},{30,31,154},{30,31,100},{29,31,73},{29,31,2},{29,31,109},{28,31,10},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,22},{30,31,19},{30,31,10},{29,31,1},{30,31,22},{29,31,1},{30,31,126},{30,31,126},{30,31,126},{30,31,99},{30,31,118},{29,31,73},{29,31,73},
{29,31,2},{29,31,73},{28,31,10},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,13},{30,31,10},{30,31,10},{29,31,1},{30,31,13},{29,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,90},{30,0,90},{30,0,90},{30,0,90},{29,31,37},{29,31,37},{29,31,37},{29,31,2},{28,31,10},
{28,31,10},{0,7,200},{0,5,20},{0,4,20},{0,3,74},{0,5,441},{0,3,282},{0,3,138},{0,2,318},{0,2,487},{0,2,343},{0,7,200},{0,5,20},{0,4,20},{0,3,74},{2,1,441},{0,3,282},{0,3,138},{0,2,318},{5,0,441},{0,2,318},{0,3,1},{0,3,1},{0,3,1},{0,2,1},{0,2,41},{0,1,20},{0,1,20},{0,1,26},{0,1,45},{0,1,30},{0,3,1},
{0,3,1},{0,3,1},{0,2,1},{1,0,41},{0,1,20},{0,1,20},{0,1,26},{2,0,41},{0,1,26},{1,5,200},{0,5,20},{0,4,20},{0,3,74},{1,5,200},{7,0,200},{0,3,74},{0,2,218},{7,0,200},{0,2,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,10,200},{0,7,5},{0,5,32},
{0,4,41},{0,7,689},{0,5,369},{0,4,162},{0,3,474},{0,3,762},{0,3,538},{0,10,200},{0,7,5},{0,5,32},{0,4,41},{3,1,686},{0,5,369},{0,4,162},{0,3,474},{3,2,686},{0,3,474},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,3,145},{0,3,65},{0,3,65},{0,2,101},{0,1,173},{0,1,110},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{1,1,145},
{0,3,65},{0,3,65},{0,2,101},{3,0,145},{0,2,101},{5,0,200},{0,7,5},{1,4,17},{0,4,41},{5,0,200},{10,0,200},{0,4,41},{0,3,218},{10,0,200},{0,3,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,13,249},{0,8,59},{1,6,97},{0,5,69},{0,10,728},{0,6,299},{0,5,56},
{0,4,433},{0,4,884},{0,4,554},{1,11,201},{1,8,6},{1,6,33},{1,5,42},{5,0,728},{0,6,299},{0,5,56},{0,4,433},{10,0,728},{0,4,433},{0,9,50},{0,9,50},{0,9,50},{0,5,53},{0,6,162},{0,4,25},{0,4,25},{0,3,82},{0,3,226},{0,2,115},{1,7,2},{1,7,2},{1,7,2},{1,4,2},{3,0,162},{0,4,25},{0,4,25},{0,3,82},{6,0,162},
{0,3,82},{6,1,200},{1,8,5},{2,5,17},{0,5,20},{6,1,200},{13,0,200},{0,5,20},{0,4,208},{13,0,200},{0,4,208},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,3,1},{0,3,1},{0,3,1},{0,1,4},{0,1,8},{0,1,8},{1,14,313},{1,9,123},{1,7,210},{1,6,133},{0,12,724},{0,8,251},{0,6,18},{0,5,352},{0,6,987},{0,5,521},{2,12,201},
{2,9,6},{2,7,33},{2,6,42},{4,4,724},{0,8,251},{0,6,18},{0,5,352},{12,0,724},{0,5,352},{1,10,114},{1,10,114},{1,10,114},{1,6,117},{0,9,162},{0,6,2},{0,6,2},{0,4,49},{0,4,291},{0,3,146},{2,8,2},{2,8,2},{2,8,2},{2,5,2},{4,1,162},{0,6,2},{0,6,2},{0,4,49},{9,0,162},{0,4,49},{7,2,200},{2,9,5},{3,6,17},
{0,6,17},{7,2,200},{14,1,200},{0,6,17},{0,5,208},{14,1,200},{0,5,208},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,2,50},{0,2,50},{2,15,410},{2,11,221},{2,8,324},{2,7,234},{1,14,739},{0,10,233},{0,8,40},{0,6,298},{0,7,1013},{0,6,426},{3,13,202},{3,10,1},{3,8,32},{3,7,41},{7,2,723},
{0,10,217},{0,8,24},{0,6,282},{14,1,723},{0,6,282},{2,12,209},{2,12,209},{2,12,209},{2,7,209},{0,12,178},{1,7,20},{1,7,20},{0,5,26},{0,6,308},{0,5,91},{3,10,1},{3,10,1},{3,10,1},{3,6,4},{4,4,162},{1,7,4},{1,7,4},{0,5,10},{12,0,162},{0,5,10},{9,1,200},{3,10,1},{4,8,20},{0,8,20},{9,1,200},{19,0,200},{0,8,20},
{0,6,218},{19,0,200},{0,6,218},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{1,7,16},{1,7,16},{1,7,16},{1,4,16},{0,4,53},{0,4,53},{3,16,408},{3,12,225},{3,9,324},{3,8,228},{2,15,739},{1,11,233},{2,8,33},{1,7,298},{0,9,875},{0,7,303},{4,14,201},{4,11,6},{4,9,33},{4,8,42},{7,5,723},{0,11,204},{2,8,17},{0,7,254},{15,2,723},
{0,7,254},{3,12,209},{3,12,209},{3,12,209},{3,8,212},{1,13,178},{2,8,17},{2,8,17},{1,6,26},{0,7,229},{0,6,17},{4,10,2},{4,10,2},{4,10,2},{4,7,2},{5,5,162},{2,8,1},{2,8,1},{0,6,1},{15,0,162},{0,6,1},{11,0,200},{4,11,5},{5,8,17},{2,8,17},{11,0,200},{22,0,200},{2,8,17},{0,7,218},{22,0,200},{0,7,218},{3,0,208},
{3,0,208},{3,0,208},{3,0,208},{2,8,16},{2,8,16},{2,8,16},{2,5,16},{0,6,16},{0,6,16},{4,17,418},{4,12,228},{4,10,315},{4,9,238},{3,16,744},{2,11,234},{3,9,33},{2,8,305},{0,11,828},{0,8,228},{5,15,201},{5,12,6},{5,10,33},{5,9,42},{11,0,728},{1,12,204},{3,9,17},{0,8,224},{22,0,728},{0,8,224},{4,13,219},{4,13,219},{4,13,219},
{4,9,222},{3,12,178},{3,9,17},{3,9,17},{2,7,26},{0,9,178},{0,7,6},{5,11,2},{5,11,2},{5,11,2},{5,8,2},{9,0,162},{3,9,1},{3,9,1},{1,7,1},{18,0,162},{1,7,1},{12,1,200},{5,12,5},{6,9,17},{3,9,17},{12,1,200},{25,0,200},{3,9,17},{0,8,208},{25,0,200},{0,8,208},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{3,9,16},
{3,9,16},{3,9,16},{3,6,16},{0,7,5},{0,7,5},{5,18,418},{5,13,228},{5,11,315},{5,10,238},{3,19,744},{3,12,225},{3,11,40},{3,9,305},{0,12,749},{0,9,225},{6,16,201},{6,13,6},{6,11,33},{6,10,42},{12,0,724},{2,13,204},{4,10,18},{0,9,209},{24,0,724},{0,9,209},{5,14,219},{5,14,219},{5,14,219},{5,10,222},{3,15,178},{3,11,24},{3,11,24},
{3,8,32},{1,10,178},{1,8,5},{6,12,2},{6,12,2},{6,12,2},{6,9,2},{10,1,162},{4,10,2},{4,10,2},{2,8,1},{21,0,162},{2,8,1},{14,0,200},{6,13,5},{7,10,17},{4,10,17},{14,0,200},{26,1,200},{4,10,17},{0,9,208},{26,1,200},{0,9,208},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{3,12,17},{3,12,17},{3,12,17},{3,7,20},{1,8,5},
{1,8,5},{6,19,410},{6,15,221},{6,12,324},{6,11,234},{5,18,739},{4,14,233},{4,12,40},{4,10,298},{0,14,724},{2,10,228},{7,17,202},{7,14,1},{7,12,32},{7,11,41},{14,0,723},{3,14,211},{4,12,24},{1,10,218},{26,1,723},{1,10,218},{6,16,209},{6,16,209},{6,16,209},{6,11,209},{4,16,178},{5,11,20},{5,11,20},{4,9,26},{1,12,171},{3,9,10},{7,14,1},
{7,14,1},{7,14,1},{7,10,4},{12,0,162},{5,11,4},{5,11,4},{3,9,1},{24,0,162},{3,9,1},{13,5,200},{7,14,1},{8,12,20},{3,12,17},{13,5,200},{31,0,200},{3,12,17},{0,10,218},{31,0,200},{0,10,218},{6,0,208},{6,0,208},{6,0,208},{6,0,208},{5,11,16},{5,11,16},{5,11,16},{5,8,16},{3,9,9},{3,9,9},{7,20,408},{7,16,225},{7,13,324},
{7,12,228},{6,19,739},{5,15,233},{6,12,33},{5,11,298},{1,15,724},{3,11,228},{8,18,201},{8,15,6},{8,13,33},{8,12,42},{15,1,723},{4,15,204},{6,12,17},{2,11,218},{27,2,723},{2,11,218},{7,16,209},{7,16,209},{7,16,209},{7,12,212},{5,17,178},{6,12,17},{6,12,17},{5,10,26},{2,13,171},{3,10,14},{8,14,2},{8,14,2},{8,14,2},{8,11,2},{13,1,162},
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{22,31,49},{27,31,433},{27,31,433},{27,31,433},{27,31,224},{27,31,378},{26,31,74},{26,31,74},{25,30,26},{24,31,229},{23,30,14},{28,31,82},{28,31,82},{28,31,82},{28,31,2},{29,29,162},{27,31,25},{27,31,25},{24,30,1},{31,28,162},{24,30,1},{31,30,25},{30,31,10},{30,31,1},{28,31,1},{31,30,25},{30,31,25},{28,31,1},{0,31,49},{30,31,25},{0,31,49},{27,0,208},
{27,0,208},{27,0,208},{27,0,208},{26,31,25},{26,31,25},{26,31,25},{26,29,16},{23,31,10},{23,31,10},{29,31,684},{28,31,538},{28,31,474},{28,31,282},{28,31,682},{27,31,283},{27,31,162},{26,31,25},{26,31,482},{24,31,5},{30,31,153},{30,31,126},{30,31,117},{29,31,37},{31,29,193},{29,31,108},{28,31,65},{25,31,0},{31,30,193},{25,31,0},{28,31,474},{28,31,474},{28,31,474},
{28,31,282},{28,31,426},{27,31,162},{27,31,162},{26,31,25},{26,31,286},{24,31,5},{30,31,117},{30,31,117},{30,31,117},{29,31,37},{31,28,145},{28,31,65},{28,31,65},{25,31,0},{30,30,145},{25,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,218},{28,0,218},{28,0,218},{28,0,218},{27,31,41},
{27,31,41},{27,31,41},{27,30,16},{24,31,5},{24,31,5},{29,31,460},{29,31,375},{29,31,339},{29,31,254},{29,31,415},{28,31,202},{28,31,138},{27,31,20},{27,31,295},{26,31,26},{30,31,73},{30,31,46},{30,31,37},{30,31,10},{31,30,54},{30,31,27},{30,31,18},{28,31,1},{30,31,54},{28,31,1},{29,31,339},{29,31,339},{29,31,339},{29,31,254},{29,31,294},{28,31,138},{28,31,138},
{27,31,20},{27,31,174},{26,31,26},{30,31,37},{30,31,37},{30,31,37},{30,31,10},{31,29,45},{30,31,18},{30,31,18},{28,31,1},{31,30,45},{28,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{29,0,218},{29,0,218},{29,0,218},{29,0,218},{28,31,74},{28,31,74},{28,31,74},{27,31,20},{26,31,26},
{26,31,26},{0,10,421},{0,7,52},{0,5,1},{0,4,162},{0,7,926},{0,5,590},{0,4,283},{0,3,701},{0,3,1005},{0,3,765},{0,10,421},{0,7,52},{0,5,1},{0,4,162},{3,1,925},{0,5,590},{0,4,283},{0,3,701},{3,2,925},{0,3,701},{0,5,0},{0,5,0},{0,5,0},{0,2,9},{0,2,89},{0,2,34},{0,2,34},{0,1,50},{0,1,93},{0,1,54},{0,5,0},
{0,5,0},{0,5,0},{0,2,9},{1,0,89},{0,2,34},{0,2,34},{0,1,50},{2,0,89},{0,1,50},{5,0,421},{0,7,52},{0,5,1},{0,4,162},{5,0,421},{10,0,421},{0,4,162},{0,3,445},{10,0,421},{0,3,445},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,13,421},{0,9,10},{0,6,26},
{0,5,117},{0,9,1261},{0,6,701},{0,5,286},{0,4,917},{0,4,1390},{0,3,1005},{0,13,421},{0,9,10},{0,6,26},{0,5,117},{4,1,1261},{0,6,701},{0,5,286},{0,4,917},{9,0,1261},{0,4,917},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,4,221},{0,3,89},{0,3,89},{0,2,125},{0,2,246},{0,2,150},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{2,0,221},
{0,3,89},{0,3,89},{0,2,125},{4,0,221},{0,2,125},{6,1,421},{0,9,10},{1,6,1},{0,5,117},{6,1,421},{13,0,421},{0,5,117},{0,4,433},{13,0,421},{0,4,433},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,16,430},{0,11,14},{0,7,110},{0,7,91},{0,11,1514},{0,7,737},{0,6,259},
{0,4,1002},{0,5,1710},{0,4,1123},{0,16,430},{0,11,14},{1,7,51},{0,7,91},{5,1,1514},{0,7,737},{0,6,259},{0,4,1002},{11,0,1514},{0,4,1002},{0,11,10},{0,11,10},{0,11,10},{0,5,13},{0,6,338},{0,5,104},{0,5,104},{0,3,194},{0,3,402},{0,2,243},{0,11,10},{0,11,10},{0,11,10},{0,5,13},{3,0,338},{0,5,104},{0,5,104},{0,3,194},{6,0,338},
{0,3,194},{8,0,421},{0,11,5},{2,7,1},{0,7,82},{8,0,421},{16,0,421},{0,7,82},{0,5,433},{16,0,421},{0,5,433},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,1},{0,1,1},{0,1,1},{0,1,4},{0,1,8},{0,1,8},{1,17,494},{1,12,78},{1,8,173},{1,8,154},{0,14,1514},{0,9,602},{0,7,146},{0,6,874},{0,7,1875},{0,5,1066},{1,17,430},
{1,12,14},{2,8,50},{1,8,90},{7,0,1514},{0,9,602},{0,7,146},{0,6,874},{14,0,1514},{0,6,874},{1,12,74},{1,12,74},{1,12,74},{1,6,77},{0,9,338},{0,6,50},{0,6,50},{0,4,137},{0,4,467},{0,3,258},{1,12,10},{1,12,10},{1,12,10},{1,6,13},{4,1,338},{0,6,50},{0,6,50},{0,4,137},{9,0,338},{0,4,137},{9,1,421},{1,12,5},{3,8,1},
{0,8,49},{9,1,421},{19,0,421},{0,8,49},{0,6,433},{19,0,421},{0,6,433},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,26},{0,2,26},{1,20,629},{1,14,233},{2,10,385},{1,9,245},{0,17,1517},{0,11,521},{0,9,26},{0,7,769},{0,8,2025},{0,6,1085},{3,16,437},{2,13,17},{3,9,53},{2,9,81},{8,1,1517},
{0,11,521},{0,9,26},{0,7,769},{17,0,1517},{0,7,769},{1,15,208},{1,15,208},{1,15,208},{1,8,208},{0,12,338},{0,8,8},{0,8,8},{0,5,74},{0,5,579},{0,5,243},{3,11,16},{3,11,16},{3,11,16},{3,7,16},{4,4,338},{0,8,8},{0,8,8},{0,5,74},{12,0,338},{0,5,74},{11,0,421},{2,13,1},{4,9,1},{0,9,10},{11,0,421},{22,0,421},{0,9,10},
{0,7,445},{22,0,421},{0,7,445},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,7,1},{0,7,1},{0,7,1},{0,4,4},{0,3,80},{0,3,80},{2,21,821},{2,15,425},{2,11,645},{2,10,437},{0,20,1514},{0,12,458},{0,10,2},{0,8,689},{0,9,2198},{0,7,1146},{3,19,437},{3,14,17},{4,10,51},{3,10,81},{8,4,1514},{0,12,458},{0,10,2},{0,8,689},{20,0,1514},
{0,8,689},{2,16,400},{2,16,400},{2,16,400},{2,9,400},{0,15,338},{0,10,1},{0,10,1},{0,6,41},{0,7,717},{0,6,297},{3,14,16},{3,14,16},{3,14,16},{3,8,20},{5,5,338},{0,10,1},{0,10,1},{0,6,41},{15,0,338},{0,6,41},{12,1,421},{3,14,1},{5,10,1},{0,10,1},{12,1,421},{25,0,421},{0,10,1},{0,8,433},{25,0,421},{0,8,433},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,10,1},{0,10,1},{0,10,1},{0,5,1},{0,4,157},{0,4,157},{3,22,854},{3,15,459},{3,12,666},{3,11,470},{1,21,1515},{1,13,459},{1,11,3},{0,9,651},{0,11,2070},{0,9,891},{4,20,430},{4,15,14},{5,11,51},{4,11,91},{9,5,1514},{0,14,425},{1,11,2},{0,9,602},{23,0,1514},{0,9,602},{3,17,433},{3,17,433},{3,17,433},
{3,10,433},{1,16,339},{1,11,2},{1,11,2},{1,7,42},{0,8,613},{0,7,173},{4,15,10},{4,15,10},{4,15,10},{4,9,13},{9,0,338},{1,11,1},{1,11,1},{0,7,29},{18,0,338},{0,7,29},{14,0,421},{4,15,5},{6,11,1},{1,11,1},{14,0,421},{28,0,421},{1,11,1},{0,9,433},{28,0,421},{0,9,433},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{1,11,2},
{1,11,2},{1,11,2},{1,6,2},{0,6,97},{0,6,97},{4,23,866},{4,16,461},{4,12,670},{4,12,494},{2,22,1515},{2,14,459},{2,12,3},{1,10,651},{0,12,1913},{0,10,677},{5,21,430},{5,16,14},{6,12,50},{5,12,90},{13,0,1514},{1,15,425},{2,12,2},{0,10,533},{26,0,1514},{0,10,533},{4,18,446},{4,18,446},{4,18,446},{4,11,446},{2,17,339},{2,12,3},{2,12,3},
{2,8,42},{0,10,500},{0,8,65},{5,16,10},{5,16,10},{5,16,10},{5,10,13},{10,1,338},{2,12,2},{2,12,2},{0,8,16},{21,0,338},{0,8,16},{15,1,421},{5,16,5},{7,12,1},{2,12,1},{15,1,421},{31,0,421},{2,12,1},{0,10,433},{31,0,421},{0,10,433},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{2,12,2},{2,12,2},{2,12,2},{2,7,2},{0,8,49},
{0,8,49},{5,24,854},{5,18,458},{5,14,678},{5,13,470},{3,23,1517},{3,15,461},{3,13,5},{2,11,653},{0,14,1758},{0,11,530},{7,20,437},{6,17,17},{7,13,53},{6,13,81},{14,1,1517},{2,16,422},{3,13,5},{0,11,494},{29,0,1517},{0,11,494},{5,19,433},{5,19,433},{5,19,433},{5,12,433},{3,18,340},{3,13,4},{3,13,4},{3,9,41},{0,12,419},{0,10,19},{7,15,16},
{7,15,16},{7,15,16},{7,11,16},{12,0,338},{3,13,4},{3,13,4},{0,10,10},{24,0,338},{0,10,10},{17,0,421},{6,17,1},{8,13,1},{3,13,1},{17,0,421},{30,2,421},{3,13,1},{0,11,445},{30,2,421},{0,11,445},{5,0,433},{5,0,433},{5,0,433},{5,0,433},{3,14,1},{3,14,1},{3,14,1},{3,8,1},{0,10,10},{0,10,10},{6,25,854},{6,19,458},{6,15,678},
{6,14,470},{4,24,1515},{4,16,459},{4,14,3},{3,12,666},{0,16,1658},{0,12,459},{7,23,437},{7,18,17},{8,14,51},{7,14,81},{16,0,1514},{3,17,422},{4,14,2},{0,12,458},{24,4,1514},{0,12,458},{6,20,433},{6,20,433},{6,20,433},{6,13,433},{4,19,339},{4,14,2},{4,14,2},{4,10,42},{0,13,365},{0,11,14},{7,18,16},{7,18,16},{7,18,16},{7,12,20},{13,1,338},
{4,14,1},{4,14,1},{0,11,10},{27,0,338},{0,11,10},{18,1,421},{7,18,1},{9,14,1},{4,14,1},{18,1,421},{31,3,421},{4,14,1},{0,12,433},{31,3,421},{0,12,433},{6,0,433},{6,0,433},{6,0,433},{6,0,433},{4,14,2},{4,14,2},{4,14,2},{4,9,2},{0,11,5},{0,11,5},{7,26,854},{7,19,459},{7,16,666},{7,15,470},{5,25,1515},{5,17,459},{5,15,3},
{4,13,651},{0,17,1577},{1,13,459},{8,24,430},{8,19,14},{9,15,51},{8,15,91},{17,1,1514},{4,18,425},{5,15,2},{0,13,437},{27,4,1514},{0,13,437},{7,21,433},{7,21,433},{7,21,433},{7,14,433},{5,20,339},{5,15,2},{5,15,2},{5,11,42},{0,15,339},{1,12,21},{8,19,10},{8,19,10},{8,19,10},{8,13,13},{15,0,338},{5,15,1},{5,15,1},{1,12,17},{30,0,338},
{1,12,17},{20,0,421},{8,19,5},{10,15,1},{5,15,1},{20,0,421},{30,5,421},{5,15,1},{0,13,433},{30,5,421},{0,13,433},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{5,15,2},{5,15,2},{5,15,2},{5,10,2},{1,12,5},{1,12,5},{8,27,866},{8,20,461},{8,16,670},{8,16,494},{6,26,1515},{6,18,459},{6,16,3},{5,14,651},{0,19,1530},{2,14,459},{9,25,430},
{9,20,14},{10,16,50},{9,16,90},{19,0,1514},{5,19,425},{6,16,2},{0,14,434},{30,4,1514},{0,14,434},{8,22,446},{8,22,446},{8,22,446},{8,15,446},{6,21,339},{6,16,3},{6,16,3},{6,12,42},{1,16,339},{2,13,21},{9,20,10},{9,20,10},{9,20,10},{9,14,13},{16,1,338},{6,16,2},{6,16,2},{4,12,16},{31,1,338},{4,12,16},{21,1,421},{9,20,5},{11,16,1},
{6,16,1},{21,1,421},{31,6,421},{6,16,1},{0,14,433},{31,6,421},{0,14,433},{8,0,445},{8,0,445},{8,0,445},{8,0,445},{6,16,2},{6,16,2},{6,16,2},{6,11,2},{2,13,5},{2,13,5},{9,28,854},{9,22,458},{9,18,678},{9,17,470},{7,27,1517},{7,19,461},{7,17,5},{6,15,653},{1,20,1526},{3,15,461},{11,24,437},{10,21,17},{11,17,53},{10,17,81},{20,1,1517},
{6,20,422},{7,17,5},{2,15,446},{31,5,1517},{2,15,446},{9,23,433},{9,23,433},{9,23,433},{9,16,433},{7,22,340},{7,17,4},{7,17,4},{7,13,41},{2,17,340},{4,14,19},{11,19,16},{11,19,16},{11,19,16},{11,15,16},{16,4,338},{7,17,4},{7,17,4},{4,14,10},{28,4,338},{4,14,10},{23,0,421},{10,21,1},{12,17,1},{7,17,1},{23,0,421},{30,8,421},{7,17,1},
{0,15,445},{30,8,421},{0,15,445},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{7,18,1},{7,18,1},{7,18,1},{7,12,1},{4,14,10},{4,14,10},{10,29,854},{10,23,458},{10,19,678},{10,18,470},{8,28,1515},{8,20,459},{8,18,3},{7,16,666},{2,21,1526},{4,16,459},{11,27,437},{11,22,17},{12,18,51},{11,18,81},{20,4,1514},{7,21,422},{8,18,2},{2,16,434},{28,8,1514},
{2,16,434},{10,24,433},{10,24,433},{10,24,433},{10,17,433},{8,23,339},{8,18,2},{8,18,2},{8,14,42},{3,18,340},{4,15,14},{11,22,16},{11,22,16},{11,22,16},{11,16,20},{17,5,338},{8,18,1},{8,18,1},{4,15,10},{31,4,338},{4,15,10},{24,1,421},{11,22,1},{13,18,1},{8,18,1},{24,1,421},{31,9,421},{8,18,1},{0,16,433},{31,9,421},{0,16,433},{10,0,433},
{10,0,433},{10,0,433},{10,0,433},{8,18,2},{8,18,2},{8,18,2},{8,13,2},{4,15,5},{4,15,5},{11,30,854},{11,23,459},{11,20,666},{11,19,470},{9,29,1515},{9,21,459},{9,19,3},{8,17,651},{3,22,1526},{5,17,459},{12,28,430},{12,23,14},{13,19,51},{12,19,91},{21,5,1514},{8,22,425},{9,19,2},{3,17,434},{31,8,1514},{3,17,434},{11,25,433},{11,25,433},{11,25,433},
{11,18,433},{9,24,339},{9,19,2},{9,19,2},{9,15,42},{4,19,339},{5,16,21},{12,23,10},{12,23,10},{12,23,10},{12,17,13},{21,0,338},{9,19,1},{9,19,1},{5,16,17},{30,6,338},{5,16,17},{26,0,421},{12,23,5},{14,19,1},{9,19,1},{26,0,421},{30,11,421},{9,19,1},{0,17,433},{30,11,421},{0,17,433},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{9,19,2},
{9,19,2},{9,19,2},{9,14,2},{5,16,5},{5,16,5},{12,31,866},{12,24,461},{12,20,670},{12,20,494},{10,30,1515},{10,22,459},{10,20,3},{9,18,651},{4,23,1530},{6,18,459},{13,29,430},{13,24,14},{14,20,50},{13,20,90},{25,0,1514},{9,23,425},{10,20,2},{4,18,434},{30,10,1514},{4,18,434},{12,26,446},{12,26,446},{12,26,446},{12,19,446},{10,25,339},{10,20,3},{10,20,3},
{10,16,42},{5,20,339},{6,17,21},{13,24,10},{13,24,10},{13,24,10},{13,18,13},{22,1,338},{10,20,2},{10,20,2},{8,16,16},{31,7,338},{8,16,16},{27,1,421},{13,24,5},{15,20,1},{10,20,1},{27,1,421},{31,12,421},{10,20,1},{0,18,433},{31,12,421},{0,18,433},{12,0,445},{12,0,445},{12,0,445},{12,0,445},{10,20,2},{10,20,2},{10,20,2},{10,15,2},{6,17,5},
{6,17,5},{13,31,878},{13,26,458},{13,22,678},{13,21,470},{11,31,1517},{11,23,461},{11,21,5},{10,19,653},{5,24,1526},{7,19,461},{15,28,437},{14,25,17},{15,21,53},{14,21,81},{26,1,1517},{10,24,422},{11,21,5},{6,19,446},{31,11,1517},{6,19,446},{13,27,433},{13,27,433},{13,27,433},{13,20,433},{11,26,340},{11,21,4},{11,21,4},{11,17,41},{6,21,340},{8,18,19},{15,23,16},
{15,23,16},{15,23,16},{15,19,16},{24,0,338},{11,21,4},{11,21,4},{8,18,10},{24,12,338},{8,18,10},{29,0,421},{14,25,1},{16,21,1},{11,21,1},{29,0,421},{30,14,421},{11,21,1},{0,19,445},{30,14,421},{0,19,445},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{11,22,1},{11,22,1},{11,22,1},{11,16,1},{8,18,10},{8,18,10},{14,31,938},{14,27,458},{14,23,678},
{14,22,470},{12,31,1542},{12,24,459},{12,22,3},{11,20,666},{6,25,1526},{8,20,459},{15,31,437},{15,26,17},{16,22,51},{15,22,81},{28,0,1514},{11,25,422},{12,22,2},{6,20,434},{24,16,1514},{6,20,434},{14,28,433},{14,28,433},{14,28,433},{14,21,433},{12,27,339},{12,22,2},{12,22,2},{12,18,42},{7,22,340},{8,19,14},{15,26,16},{15,26,16},{15,26,16},{15,20,20},{25,1,338},
{12,22,1},{12,22,1},{8,19,10},{27,12,338},{8,19,10},{30,1,421},{15,26,1},{17,22,1},{12,22,1},{30,1,421},{31,15,421},{12,22,1},{0,20,433},{31,15,421},{0,20,433},{14,0,433},{14,0,433},{14,0,433},{14,0,433},{12,22,2},{12,22,2},{12,22,2},{12,17,2},{8,19,5},{8,19,5},{15,31,998},{15,27,459},{15,24,666},{15,23,470},{14,31,1598},{13,25,459},{13,23,3},
{12,21,651},{7,26,1526},{9,21,459},{16,31,442},{16,27,14},{17,23,51},{16,23,91},{29,1,1514},{12,26,425},{13,23,2},{7,21,434},{27,16,1514},{7,21,434},{15,29,433},{15,29,433},{15,29,433},{15,22,433},{13,28,339},{13,23,2},{13,23,2},{13,19,42},{8,23,339},{9,20,21},{16,27,10},{16,27,10},{16,27,10},{16,21,13},{27,0,338},{13,23,1},{13,23,1},{9,20,17},{30,12,338},
{9,20,17},{31,2,421},{16,27,5},{18,23,1},{13,23,1},{31,2,421},{30,17,421},{13,23,1},{0,21,433},{30,17,421},{0,21,433},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{13,23,2},{13,23,2},{13,23,2},{13,18,2},{9,20,5},{9,20,5},{16,31,1086},{16,28,461},{16,24,670},{16,24,494},{15,31,1622},{14,26,459},{14,24,3},{13,22,651},{8,27,1530},{10,22,459},{18,31,446},
{17,28,14},{18,24,50},{17,24,90},{31,0,1514},{13,27,425},{14,24,2},{8,22,434},{30,16,1514},{8,22,434},{16,30,446},{16,30,446},{16,30,446},{16,23,446},{14,29,339},{14,24,3},{14,24,3},{14,20,42},{9,24,339},{10,21,21},{17,28,10},{17,28,10},{17,28,10},{17,22,13},{28,1,338},{14,24,2},{14,24,2},{12,20,16},{31,13,338},{12,20,16},{31,5,421},{17,28,5},{19,24,1},
{14,24,1},{31,5,421},{31,18,421},{14,24,1},{0,22,433},{31,18,421},{0,22,433},{16,0,445},{16,0,445},{16,0,445},{16,0,445},{14,24,2},{14,24,2},{14,24,2},{14,19,2},{10,21,5},{10,21,5},{18,31,1242},{17,30,458},{17,26,678},{17,25,470},{16,31,1703},{15,27,461},{15,25,5},{14,23,653},{9,28,1526},{11,23,461},{19,31,461},{18,29,17},{19,25,53},{18,25,81},{31,3,1517},
{14,28,422},{15,25,5},{10,23,446},{31,17,1517},{10,23,446},{17,31,433},{17,31,433},{17,31,433},{17,24,433},{15,30,340},{15,25,4},{15,25,4},{15,21,41},{10,25,340},{12,22,19},{19,27,16},{19,27,16},{19,27,16},{19,23,16},{28,4,338},{15,25,4},{15,25,4},{12,22,10},{28,16,338},{12,22,10},{31,8,421},{18,29,1},{20,25,1},{15,25,1},{31,8,421},{30,20,421},{15,25,1},
{0,23,445},{30,20,421},{0,23,445},{17,0,433},{17,0,433},{17,0,433},{17,0,433},{15,26,1},{15,26,1},{15,26,1},{15,20,1},{12,22,10},{12,22,10},{19,31,1326},{18,31,458},{18,27,678},{18,26,470},{17,31,1838},{16,28,459},{16,26,3},{15,24,666},{10,29,1526},{12,24,459},{20,31,506},{19,30,17},{20,26,51},{19,26,81},{28,12,1514},{15,29,422},{16,26,2},{10,24,434},{28,20,1514},
{10,24,434},{18,31,442},{18,31,442},{18,31,442},{18,25,433},{16,31,339},{16,26,2},{16,26,2},{16,22,42},{11,26,340},{12,23,14},{19,30,16},{19,30,16},{19,30,16},{19,24,20},{29,5,338},{16,26,1},{16,26,1},{12,23,10},{31,16,338},{12,23,10},{31,11,421},{19,30,1},{21,26,1},{16,26,1},{31,11,421},{31,21,421},{16,26,1},{0,24,433},{31,21,421},{0,24,433},{18,0,433},
{18,0,433},{18,0,433},{18,0,433},{16,26,2},{16,26,2},{16,26,2},{16,21,2},{12,23,5},{12,23,5},{20,31,1470},{19,31,459},{19,28,666},{19,27,470},{19,31,1911},{17,29,459},{17,27,3},{16,25,651},{11,30,1526},{13,25,459},{21,31,590},{20,31,14},{21,27,51},{20,27,91},{29,13,1514},{16,30,425},{17,27,2},{11,25,434},{31,20,1514},{11,25,434},{19,31,458},{19,31,458},{19,31,458},
{19,26,433},{17,31,357},{17,27,2},{17,27,2},{17,23,42},{12,27,339},{13,24,21},{20,31,10},{20,31,10},{20,31,10},{20,25,13},{31,4,338},{17,27,1},{17,27,1},{13,24,17},{30,18,338},{13,24,17},{31,14,421},{20,31,5},{22,27,1},{17,27,1},{31,14,421},{30,23,421},{17,27,1},{0,25,433},{30,23,421},{0,25,433},{19,0,433},{19,0,433},{19,0,433},{19,0,433},{17,27,2},
{17,27,2},{17,27,2},{17,22,2},{13,24,5},{13,24,5},{21,31,1650},{20,31,530},{20,28,670},{20,28,494},{20,31,2030},{18,30,459},{18,28,3},{17,26,651},{12,31,1530},{14,26,459},{23,31,650},{21,31,29},{22,28,50},{21,28,90},{31,12,1514},{17,31,425},{18,28,2},{12,26,434},{30,22,1514},{12,26,434},{20,31,494},{20,31,494},{20,31,494},{20,27,446},{18,31,411},{18,28,3},{18,28,3},
{18,24,42},{13,28,339},{14,25,21},{21,31,13},{21,31,13},{21,31,13},{21,26,13},{31,7,338},{18,28,2},{18,28,2},{16,24,16},{31,19,338},{16,24,16},{31,17,421},{22,31,10},{23,28,1},{18,28,1},{31,17,421},{31,24,421},{18,28,1},{0,26,433},{31,24,421},{0,26,433},{20,0,445},{20,0,445},{20,0,445},{20,0,445},{18,28,2},{18,28,2},{18,28,2},{18,23,2},{14,25,5},
{14,25,5},{22,31,1902},{21,31,723},{21,30,678},{21,29,470},{21,31,2235},{19,31,461},{19,29,5},{18,27,653},{14,31,1587},{15,27,461},{24,31,734},{23,31,65},{23,29,53},{22,29,81},{31,15,1517},{19,31,461},{19,29,5},{14,27,446},{31,23,1517},{14,27,446},{21,31,554},{21,31,554},{21,31,554},{21,28,433},{20,31,437},{19,29,4},{19,29,4},{19,25,41},{14,29,340},{16,26,19},{23,31,16},
{23,31,16},{23,31,16},{23,27,16},{28,16,338},{19,29,4},{19,29,4},{16,26,10},{24,24,338},{16,26,10},{31,20,421},{23,31,49},{24,29,1},{19,29,1},{31,20,421},{30,26,421},{19,29,1},{0,27,445},{30,26,421},{0,27,445},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{19,30,1},{19,30,1},{19,30,1},{19,24,1},{16,26,10},{16,26,10},{23,31,2074},{23,31,930},{22,31,678},
{22,30,470},{23,31,2382},{20,31,570},{20,30,3},{19,28,666},{16,31,1703},{16,28,459},{25,31,854},{24,31,173},{24,30,51},{23,30,81},{28,24,1514},{21,31,554},{20,30,2},{14,28,434},{24,28,1514},{14,28,434},{22,31,629},{22,31,629},{22,31,629},{22,29,433},{21,31,491},{20,30,2},{20,30,2},{20,26,42},{15,30,340},{16,27,14},{24,31,29},{24,31,29},{24,31,29},{23,28,20},{29,17,338},
{20,30,1},{20,30,1},{16,27,10},{27,24,338},{16,27,10},{31,23,421},{25,31,109},{25,30,1},{20,30,1},{31,23,421},{31,27,421},{20,30,1},{0,28,433},{31,27,421},{0,28,433},{22,0,433},{22,0,433},{22,0,433},{22,0,433},{20,30,2},{20,30,2},{20,30,2},{20,25,2},{16,27,5},{16,27,5},{24,31,2229},{24,31,1146},{23,31,689},{23,31,469},{24,31,2476},{22,31,731},{21,31,2},
{20,29,618},{18,31,1805},{17,29,426},{26,31,953},{25,31,339},{25,31,50},{24,30,82},{29,25,1459},{23,31,620},{21,31,1},{15,29,401},{27,28,1459},{15,29,401},{23,31,689},{23,31,689},{23,31,689},{23,30,433},{22,31,581},{21,31,2},{21,31,2},{21,27,42},{16,31,339},{17,28,21},{25,31,50},{25,31,50},{25,31,50},{24,29,13},{31,16,338},{21,31,1},{21,31,1},{17,28,17},{30,24,338},
{17,28,17},{31,26,392},{27,31,157},{26,31,0},{21,31,0},{31,26,392},{30,29,392},{21,31,0},{0,29,400},{30,29,392},{0,29,400},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{21,31,2},{21,31,2},{21,31,2},{21,26,2},{17,28,5},{17,28,5},{25,31,1943},{24,31,1130},{24,31,769},{24,31,446},{25,31,2103},{23,31,573},{22,31,42},{22,29,373},{20,31,1481},{18,30,234},{27,31,657},
{26,31,285},{26,31,89},{25,31,18},{31,23,1064},{24,31,426},{23,31,8},{16,30,209},{31,27,1064},{16,30,209},{24,31,769},{24,31,769},{24,31,769},{24,31,446},{23,31,661},{22,31,42},{22,31,42},{22,28,42},{18,31,365},{18,29,21},{26,31,89},{26,31,89},{26,31,89},{25,30,13},{31,19,338},{23,31,8},{23,31,8},{20,28,16},{31,25,338},{20,28,16},{31,27,202},{28,31,80},{27,31,4},
{24,31,1},{31,27,202},{31,29,202},{24,31,1},{0,30,208},{31,29,202},{0,30,208},{24,0,445},{24,0,445},{24,0,445},{24,0,445},{22,31,17},{22,31,17},{22,31,17},{22,27,2},{18,29,5},{18,29,5},{27,31,1710},{26,31,1126},{25,31,917},{25,31,469},{26,31,1779},{24,31,507},{24,31,146},{23,30,154},{22,31,1221},{20,30,83},{28,31,450},{27,31,258},{27,31,137},{27,31,16},{29,29,722},
{26,31,286},{25,31,52},{20,30,74},{31,28,722},{20,30,74},{25,31,917},{25,31,917},{25,31,917},{25,31,469},{25,31,789},{24,31,146},{24,31,146},{23,29,41},{20,31,446},{20,30,19},{27,31,137},{27,31,137},{27,31,137},{27,31,16},{28,28,338},{25,31,52},{25,31,52},{20,30,10},{28,28,338},{20,30,10},{31,29,61},{30,31,34},{29,31,0},{27,31,0},{31,29,61},{31,30,61},{27,31,0},
{0,30,73},{31,30,61},{0,30,73},{25,0,433},{25,0,433},{25,0,433},{25,0,433},{23,31,49},{23,31,49},{23,31,49},{23,28,1},{20,30,10},{20,30,10},{27,31,1486},{27,31,1123},{27,31,1002},{26,31,554},{27,31,1519},{25,31,582},{25,31,293},{24,30,106},{23,31,1090},{20,31,14},{29,31,354},{28,31,258},{28,31,194},{28,31,50},{31,27,509},{27,31,234},{27,31,113},{20,31,10},{31,29,509},
{20,31,10},{27,31,1002},{27,31,1002},{27,31,1002},{26,31,554},{26,31,915},{25,31,293},{25,31,293},{24,30,42},{22,31,564},{20,31,14},{28,31,194},{28,31,194},{28,31,194},{28,31,50},{29,29,338},{27,31,113},{27,31,113},{20,31,10},{31,28,338},{20,31,10},{31,30,9},{31,31,9},{30,31,9},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{26,0,433},
{26,0,433},{26,0,433},{26,0,433},{24,31,82},{24,31,82},{24,31,82},{24,29,2},{20,31,5},{20,31,5},{28,31,1197},{28,31,1005},{27,31,917},{27,31,554},{28,31,1213},{26,31,522},{26,31,326},{25,31,17},{24,31,870},{22,31,16},{30,31,241},{29,31,182},{29,31,146},{29,31,61},{31,28,297},{28,31,153},{28,31,89},{23,31,1},{30,30,297},{23,31,1},{27,31,917},{27,31,917},{27,31,917},
{27,31,554},{27,31,774},{26,31,326},{26,31,326},{25,31,17},{24,31,509},{22,31,16},{29,31,146},{29,31,146},{29,31,146},{29,31,61},{31,27,221},{28,31,89},{28,31,89},{23,31,1},{31,29,221},{23,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{27,0,433},{27,0,433},{27,0,433},{27,0,433},{26,31,130},
{26,31,130},{26,31,130},{25,30,2},{22,31,16},{22,31,16},{29,31,927},{28,31,765},{28,31,701},{28,31,509},{28,31,845},{27,31,404},{27,31,283},{26,31,2},{26,31,589},{24,31,52},{30,31,97},{30,31,70},{30,31,61},{30,31,34},{31,30,118},{30,31,67},{29,31,40},{26,31,1},{30,31,118},{26,31,1},{28,31,701},{28,31,701},{28,31,701},{28,31,509},{28,31,589},{27,31,283},{27,31,283},
{26,31,2},{25,31,386},{24,31,52},{30,31,61},{30,31,61},{30,31,61},{30,31,34},{31,29,85},{29,31,40},{29,31,40},{26,31,1},{31,30,85},{26,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,445},{28,0,445},{28,0,445},{28,0,445},{27,31,162},{27,31,162},{27,31,162},{26,31,2},{24,31,52},
{24,31,52},{0,14,884},{0,10,117},{0,7,10},{0,6,317},{0,10,1899},{0,6,1236},{0,6,573},{0,4,1438},{0,4,2065},{0,4,1559},{0,14,884},{0,10,117},{0,7,10},{0,6,317},{5,0,1899},{0,6,1236},{0,6,573},{0,4,1438},{10,0,1899},{0,4,1438},{0,7,1},{0,7,1},{0,7,1},{0,3,4},{0,3,164},{0,3,68},{0,3,68},{0,2,104},{0,2,189},{0,1,129},{0,7,1},
{0,7,1},{0,7,1},{0,3,4},{2,0,164},{0,3,68},{0,3,68},{0,2,104},{3,0,164},{0,2,104},{7,0,884},{0,10,117},{0,7,10},{0,6,317},{7,0,884},{14,0,884},{0,6,317},{0,5,890},{14,0,884},{0,5,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,17,884},{0,12,53},{0,8,20},
{0,7,265},{0,11,2360},{0,8,1384},{0,7,626},{0,5,1683},{0,5,2580},{0,5,1852},{0,17,884},{0,12,53},{0,8,20},{0,7,265},{6,0,2356},{0,8,1384},{0,7,626},{0,5,1683},{10,1,2356},{0,5,1683},{0,10,1},{0,10,1},{0,10,1},{0,5,1},{0,5,338},{0,4,137},{0,4,137},{0,2,200},{0,2,381},{0,2,225},{0,10,1},{0,10,1},{0,10,1},{0,5,1},{2,1,338},
{0,4,137},{0,4,137},{0,2,200},{5,0,338},{0,2,200},{8,1,884},{0,12,53},{1,8,5},{0,7,265},{8,1,884},{17,0,884},{0,7,265},{0,6,890},{17,0,884},{0,6,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,20,882},{0,14,16},{0,10,85},{0,8,200},{0,14,2904},{0,9,1530},{0,8,684},
{0,6,1978},{0,6,3220},{0,5,2172},{0,20,882},{0,14,16},{1,9,84},{0,8,200},{7,0,2904},{0,9,1530},{0,8,684},{0,6,1978},{14,0,2904},{0,6,1978},{0,12,1},{0,12,1},{0,12,1},{0,6,4},{0,6,580},{0,5,218},{0,5,218},{0,3,356},{0,3,644},{0,3,420},{0,12,1},{0,12,1},{0,12,1},{0,6,4},{3,0,580},{0,5,218},{0,5,218},{0,3,356},{6,0,580},
{0,3,356},{8,4,882},{0,14,16},{2,9,5},{0,8,200},{8,4,882},{20,0,882},{0,8,200},{0,7,890},{20,0,882},{0,7,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,23,918},{0,15,41},{1,11,153},{0,10,184},{0,16,3048},{0,11,1476},{0,9,473},{0,6,1950},{0,7,3517},{0,6,2206},{1,21,886},
{1,15,20},{1,11,89},{0,10,184},{8,0,3048},{0,11,1476},{0,9,473},{0,6,1950},{16,0,3048},{0,6,1950},{0,15,37},{0,15,37},{0,15,37},{0,8,40},{0,9,648},{0,7,185},{0,7,185},{0,4,337},{0,4,777},{0,4,458},{1,13,5},{1,13,5},{1,13,5},{1,7,8},{4,1,648},{0,7,185},{0,7,185},{0,4,337},{9,0,648},{0,4,337},{9,5,882},{0,15,5},{3,10,5},
{0,10,148},{9,5,882},{23,0,882},{0,10,148},{0,8,900},{23,0,882},{0,8,900},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,5},{0,1,5},{1,24,997},{1,17,123},{1,12,318},{1,11,243},{0,19,3051},{0,12,1278},{0,10,274},{0,8,1795},{0,9,3672},{0,7,2222},{2,22,885},{2,16,10},{2,12,101},{1,11,179},{10,0,3051},
{0,12,1278},{0,10,274},{0,8,1795},{19,0,3051},{0,8,1795},{1,17,114},{1,17,114},{1,17,114},{1,9,114},{0,12,648},{0,9,85},{0,9,85},{0,5,244},{0,5,889},{0,5,413},{2,15,1},{2,15,1},{2,15,1},{2,8,5},{4,4,648},{0,9,85},{0,9,85},{0,5,244},{12,0,648},{0,5,244},{13,0,884},{2,16,9},{4,11,10},{0,11,90},{13,0,884},{26,0,884},{0,11,90},
{0,9,890},{26,0,884},{0,9,890},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,2,50},{0,2,50},{1,27,1173},{1,18,314},{2,13,510},{1,12,374},{0,22,3051},{0,14,1139},{0,12,153},{0,9,1630},{0,10,3924},{0,8,2199},{3,23,885},{3,17,10},{3,13,101},{2,12,197},{11,0,3051},{0,14,1139},{0,12,153},{0,9,1630},{22,0,3051},
{0,9,1630},{1,20,290},{1,20,290},{1,20,290},{1,10,293},{0,15,648},{0,10,41},{0,10,41},{0,6,181},{0,7,1027},{0,6,437},{3,16,2},{3,16,2},{3,16,2},{3,9,5},{5,5,648},{0,10,41},{0,10,41},{0,6,181},{15,0,648},{0,6,181},{14,1,884},{3,17,9},{5,12,5},{0,12,53},{14,1,884},{29,0,884},{0,12,53},{0,10,890},{29,0,884},{0,10,890},{1,0,289},
{1,0,289},{1,0,289},{1,0,289},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,3,113},{0,3,113},{2,28,1365},{2,19,506},{3,14,830},{2,13,566},{0,25,3051},{0,16,1051},{0,13,36},{0,10,1483},{0,12,4164},{0,9,2174},{4,24,886},{4,18,20},{4,14,89},{3,13,197},{12,1,3051},{0,16,1051},{0,13,36},{0,10,1483},{25,0,3051},{0,10,1483},{2,21,482},{2,21,482},{2,21,482},
{2,11,485},{0,18,648},{0,12,5},{0,12,5},{0,7,149},{0,8,1182},{0,7,510},{4,16,5},{4,16,5},{4,16,5},{4,10,8},{9,0,648},{0,12,5},{0,12,5},{0,7,149},{18,0,648},{0,7,149},{16,0,882},{3,19,10},{6,13,5},{0,13,20},{16,0,882},{24,4,882},{0,13,20},{0,11,890},{24,4,882},{0,11,890},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,11,1},
{0,11,1},{0,11,1},{0,6,1},{0,5,185},{0,5,185},{2,31,1669},{3,20,818},{3,15,1161},{2,14,838},{0,28,3048},{0,17,949},{0,14,6},{0,11,1395},{0,13,4381},{0,10,2228},{5,25,886},{5,19,20},{5,15,89},{4,14,184},{12,4,3048},{0,17,949},{0,14,6},{0,11,1395},{28,0,3048},{0,11,1395},{2,24,786},{2,24,786},{2,24,786},{2,13,786},{0,21,648},{0,14,2},{0,14,2},
{0,9,101},{0,9,1352},{0,8,590},{5,17,5},{5,17,5},{5,17,5},{5,11,8},{10,1,648},{0,14,2},{0,14,2},{0,9,101},{21,0,648},{0,9,101},{17,1,882},{4,19,5},{7,14,5},{0,14,5},{17,1,882},{27,4,882},{0,14,5},{0,12,900},{27,4,882},{0,12,900},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{0,14,1},{0,14,1},{0,14,1},{0,7,1},{0,6,305},
{0,6,305},{3,31,1814},{3,22,968},{4,16,1314},{3,15,945},{1,29,3055},{0,19,936},{1,15,17},{0,12,1314},{0,15,4321},{0,12,2007},{6,26,885},{6,20,10},{6,16,101},{5,15,179},{15,2,3051},{0,19,900},{1,15,13},{0,12,1278},{31,0,3051},{0,12,1278},{3,25,900},{3,25,900},{3,25,900},{3,14,900},{1,22,654},{1,15,8},{1,15,8},{0,10,76},{0,11,1296},{0,9,425},{6,19,1},
{6,19,1},{6,19,1},{6,12,5},{12,0,648},{1,15,4},{1,15,4},{0,10,40},{24,0,648},{0,10,40},{19,0,884},{6,20,9},{8,15,10},{1,15,9},{19,0,884},{30,4,884},{1,15,9},{0,13,890},{30,4,884},{0,13,890},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{1,16,5},{1,16,5},{1,16,5},{1,8,8},{0,7,269},{0,7,269},{5,31,1838},{4,23,948},{5,17,1314},
{4,16,943},{2,30,3055},{1,20,936},{2,16,13},{1,13,1314},{0,16,4056},{0,13,1620},{7,27,885},{7,21,10},{7,17,101},{6,16,197},{17,0,3051},{0,21,891},{2,16,9},{0,13,1179},{30,2,3051},{0,13,1179},{4,26,891},{4,26,891},{4,26,891},{4,15,891},{2,23,654},{2,16,9},{2,16,9},{1,11,76},{0,13,1107},{0,10,273},{7,20,2},{7,20,2},{7,20,2},{7,13,5},{13,1,648},
{3,15,5},{3,15,5},{0,11,20},{27,0,648},{0,11,20},{20,1,884},{7,21,9},{9,16,5},{2,16,5},{20,1,884},{31,5,884},{2,16,5},{0,14,890},{31,5,884},{0,14,890},{4,0,890},{4,0,890},{4,0,890},{4,0,890},{2,17,5},{2,17,5},{2,17,5},{2,9,8},{0,9,149},{0,9,149},{6,31,1868},{5,24,948},{6,18,1314},{5,17,943},{3,31,3055},{2,21,936},{3,17,13},
{2,14,1314},{0,18,3825},{0,14,1354},{8,28,886},{8,22,20},{8,18,89},{7,17,197},{18,1,3051},{1,22,891},{3,17,9},{0,14,1098},{31,3,3051},{0,14,1098},{5,27,891},{5,27,891},{5,27,891},{5,16,891},{3,24,652},{3,17,9},{3,17,9},{2,12,86},{0,14,976},{0,12,126},{8,20,5},{8,20,5},{8,20,5},{8,14,8},{15,0,648},{4,16,5},{4,16,5},{0,12,5},{30,0,648},
{0,12,5},{20,4,882},{7,23,10},{10,17,5},{3,17,5},{20,4,882},{28,8,882},{3,17,5},{0,15,890},{28,8,882},{0,15,890},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{3,18,5},{3,18,5},{3,18,5},{3,10,8},{0,11,80},{0,11,80},{7,31,1908},{6,25,948},{7,19,1314},{6,18,943},{4,31,3084},{3,22,936},{4,18,15},{3,15,1314},{0,19,3640},{0,15,1175},{9,29,886},
{9,23,20},{9,19,89},{8,18,184},{20,0,3048},{2,23,891},{4,18,6},{0,15,1054},{24,8,3048},{0,15,1054},{6,28,891},{6,28,891},{6,28,891},{6,17,891},{4,25,657},{4,18,11},{4,18,11},{3,13,86},{0,16,852},{0,13,27},{9,21,5},{9,21,5},{9,21,5},{9,15,8},{16,1,648},{4,18,2},{4,18,2},{0,13,2},{31,1,648},{0,13,2},{21,5,882},{8,23,5},{11,18,5},
{4,18,5},{21,5,882},{31,8,882},{4,18,5},{0,16,900},{31,8,882},{0,16,900},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{4,18,10},{4,18,10},{4,18,10},{4,11,10},{0,13,26},{0,13,26},{8,31,1998},{7,26,968},{8,20,1314},{7,19,945},{6,31,3160},{4,23,936},{5,19,17},{4,16,1314},{0,21,3420},{0,16,1028},{10,30,885},{10,24,10},{10,20,101},{9,19,179},{22,0,3051},
{3,24,891},{5,19,13},{0,16,1003},{30,7,3051},{0,16,1003},{7,29,900},{7,29,900},{7,29,900},{7,18,900},{5,26,654},{5,19,8},{5,19,8},{4,14,76},{0,18,750},{1,14,24},{10,23,1},{10,23,1},{10,23,1},{10,16,5},{16,4,648},{5,19,4},{5,19,4},{2,14,5},{28,4,648},{2,14,5},{25,0,884},{10,24,9},{12,19,10},{5,19,9},{25,0,884},{30,10,884},{5,19,9},
{0,17,890},{30,10,884},{0,17,890},{7,0,900},{7,0,900},{7,0,900},{7,0,900},{5,20,5},{5,20,5},{5,20,5},{5,12,8},{0,15,5},{0,15,5},{9,31,2124},{8,27,948},{9,21,1314},{8,20,943},{7,31,3196},{5,24,936},{6,20,13},{5,17,1314},{0,23,3307},{0,17,971},{11,31,885},{11,25,10},{11,21,101},{10,20,197},{23,0,3051},{4,25,891},{6,20,9},{0,17,970},{30,8,3051},
{0,17,970},{8,30,891},{8,30,891},{8,30,891},{8,19,891},{6,27,654},{6,20,9},{6,20,9},{5,15,76},{0,19,691},{2,15,24},{11,24,2},{11,24,2},{11,24,2},{11,17,5},{17,5,648},{7,19,5},{7,19,5},{3,15,5},{31,4,648},{3,15,5},{26,1,884},{11,25,9},{13,20,5},{6,20,5},{26,1,884},{31,11,884},{6,20,5},{0,18,890},{31,11,884},{0,18,890},{8,0,890},
{8,0,890},{8,0,890},{8,0,890},{6,21,5},{6,21,5},{6,21,5},{6,13,8},{1,16,5},{1,16,5},{10,31,2286},{9,28,948},{10,22,1314},{9,21,943},{8,31,3277},{6,25,936},{7,21,13},{6,18,1314},{0,24,3196},{0,19,948},{12,31,904},{12,26,20},{12,22,89},{11,21,197},{24,1,3051},{5,26,891},{7,21,9},{0,19,939},{31,9,3051},{0,19,939},{9,31,891},{9,31,891},{9,31,891},
{9,20,891},{7,28,652},{7,21,9},{7,21,9},{6,16,86},{0,21,652},{2,16,18},{12,24,5},{12,24,5},{12,24,5},{12,18,8},{21,0,648},{8,20,5},{8,20,5},{3,16,2},{30,6,648},{3,16,2},{28,0,882},{11,27,10},{14,21,5},{7,21,5},{28,0,882},{24,16,882},{7,21,5},{0,19,890},{24,16,882},{0,19,890},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{7,22,5},
{7,22,5},{7,22,5},{7,14,8},{2,17,5},{2,17,5},{11,31,2414},{10,29,948},{11,23,1314},{10,22,943},{9,31,3412},{7,26,936},{8,22,15},{7,19,1314},{0,26,3115},{1,20,958},{13,31,958},{13,27,20},{13,23,89},{12,22,184},{24,4,3048},{6,27,891},{8,22,6},{0,20,925},{28,12,3048},{0,20,925},{10,31,894},{10,31,894},{10,31,894},{10,21,891},{8,29,657},{8,22,11},{8,22,11},
{7,17,86},{1,22,652},{3,17,18},{13,25,5},{13,25,5},{13,25,5},{13,19,8},{22,1,648},{8,22,2},{8,22,2},{4,17,2},{31,7,648},{4,17,2},{29,1,882},{12,27,5},{15,22,5},{8,22,5},{29,1,882},{27,16,882},{8,22,5},{0,20,900},{27,16,882},{0,20,900},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{8,22,10},{8,22,10},{8,22,10},{8,15,10},{3,18,5},
{3,18,5},{13,31,2606},{11,30,968},{12,24,1314},{11,23,945},{11,31,3519},{8,27,936},{9,23,17},{8,20,1314},{0,28,3085},{2,21,942},{15,31,995},{14,28,10},{14,24,101},{13,23,179},{27,2,3051},{7,28,891},{9,23,13},{0,21,891},{31,12,3051},{0,21,891},{11,31,925},{11,31,925},{11,31,925},{11,22,900},{9,30,654},{9,23,8},{9,23,8},{8,18,76},{2,23,651},{5,18,24},{14,27,1},
{14,27,1},{14,27,1},{14,20,5},{24,0,648},{9,23,4},{9,23,4},{6,18,5},{24,12,648},{6,18,5},{31,0,884},{14,28,9},{16,23,10},{9,23,9},{31,0,884},{30,16,884},{9,23,9},{0,21,890},{30,16,884},{0,21,890},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{9,24,5},{9,24,5},{9,24,5},{9,16,8},{4,19,5},{4,19,5},{14,31,2804},{12,31,948},{13,25,1314},
{12,24,943},{12,31,3652},{9,28,936},{10,24,13},{9,21,1314},{0,29,3052},{3,22,942},{16,31,1054},{15,29,10},{15,25,101},{14,24,197},{29,0,3051},{8,29,891},{10,24,9},{1,22,891},{30,14,3051},{1,22,891},{12,31,939},{12,31,939},{12,31,939},{12,23,891},{10,31,654},{10,24,9},{10,24,9},{9,19,76},{3,24,652},{6,19,24},{15,28,2},{15,28,2},{15,28,2},{15,21,5},{25,1,648},
{11,23,5},{11,23,5},{7,19,5},{27,12,648},{7,19,5},{31,3,884},{15,29,9},{17,24,5},{10,24,5},{31,3,884},{31,17,884},{10,24,5},{0,22,890},{31,17,884},{0,22,890},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{10,25,5},{10,25,5},{10,25,5},{10,17,8},{5,20,5},{5,20,5},{15,31,2956},{14,31,979},{14,26,1314},{13,25,943},{13,31,3841},{10,29,936},{11,25,13},
{10,22,1314},{1,30,3052},{4,23,948},{17,31,1144},{16,30,20},{16,26,89},{15,25,197},{30,1,3051},{9,30,891},{11,25,9},{2,23,891},{31,15,3051},{2,23,891},{14,31,979},{14,31,979},{14,31,979},{13,24,891},{11,31,670},{11,25,9},{11,25,9},{10,20,86},{4,25,652},{6,20,18},{16,28,5},{16,28,5},{16,28,5},{16,22,8},{27,0,648},{12,24,5},{12,24,5},{7,20,2},{30,12,648},
{7,20,2},{28,12,882},{15,31,10},{18,25,5},{11,25,5},{28,12,882},{28,20,882},{11,25,5},{0,23,890},{28,20,882},{0,23,890},{13,0,890},{13,0,890},{13,0,890},{13,0,890},{11,26,5},{11,26,5},{11,26,5},{11,18,8},{6,21,5},{6,21,5},{16,31,3182},{15,31,1028},{15,27,1314},{14,26,943},{15,31,4020},{11,30,936},{12,26,15},{11,23,1314},{2,31,3052},{5,24,958},{18,31,1270},
{17,31,20},{17,27,89},{16,26,184},{28,8,3048},{10,31,891},{12,26,6},{2,24,901},{24,20,3048},{2,24,901},{15,31,1003},{15,31,1003},{15,31,1003},{14,25,891},{12,31,707},{12,26,11},{12,26,11},{11,21,86},{5,26,652},{7,21,18},{17,29,5},{17,29,5},{17,29,5},{17,23,8},{28,1,648},{12,26,2},{12,26,2},{8,21,2},{31,13,648},{8,21,2},{29,13,882},{16,31,5},{19,26,5},
{12,26,5},{29,13,882},{31,20,882},{12,26,5},{0,24,900},{31,20,882},{0,24,900},{14,0,890},{14,0,890},{14,0,890},{14,0,890},{12,26,10},{12,26,10},{12,26,10},{12,19,10},{7,22,5},{7,22,5},{17,31,3508},{16,31,1175},{16,28,1314},{15,27,945},{16,31,4209},{12,31,936},{13,27,17},{12,24,1314},{4,31,3100},{6,25,942},{20,31,1368},{18,31,37},{18,28,101},{17,27,179},{31,6,3051},
{12,31,900},{13,27,13},{4,25,891},{30,19,3051},{4,25,891},{16,31,1054},{16,31,1054},{16,31,1054},{15,26,900},{14,31,780},{13,27,8},{13,27,8},{12,22,76},{6,27,651},{9,22,24},{18,31,1},{18,31,1},{18,31,1},{18,24,5},{28,4,648},{13,27,4},{13,27,4},{10,22,5},{28,16,648},{10,22,5},{31,12,884},{18,31,36},{20,27,10},{13,27,9},{31,12,884},{30,22,884},{13,27,9},
{0,25,890},{30,22,884},{0,25,890},{15,0,900},{15,0,900},{15,0,900},{15,0,900},{13,28,5},{13,28,5},{13,28,5},{13,20,8},{8,23,5},{8,23,5},{19,31,3790},{17,31,1412},{17,29,1314},{16,28,943},{17,31,4452},{14,31,954},{14,28,13},{13,25,1314},{7,31,3196},{7,26,942},{21,31,1494},{19,31,126},{19,29,101},{18,28,197},{31,8,3051},{14,31,950},{14,28,9},{5,26,891},{30,20,3051},
{5,26,891},{17,31,1123},{17,31,1123},{17,31,1123},{16,27,891},{15,31,820},{14,28,9},{14,28,9},{13,23,76},{7,28,652},{10,23,24},{19,31,5},{19,31,5},{19,31,5},{19,25,5},{29,5,648},{15,27,5},{15,27,5},{11,23,5},{31,16,648},{11,23,5},{31,15,884},{20,31,80},{21,28,5},{14,28,5},{31,15,884},{31,23,884},{14,28,5},{0,26,890},{31,23,884},{0,26,890},{16,0,890},
{16,0,890},{16,0,890},{16,0,890},{14,29,5},{14,29,5},{14,29,5},{14,21,8},{9,24,5},{9,24,5},{20,31,4072},{18,31,1694},{18,30,1314},{17,29,943},{19,31,4705},{15,31,1064},{15,29,13},{14,26,1314},{8,31,3355},{8,27,948},{22,31,1656},{20,31,276},{20,30,89},{19,29,197},{31,11,3051},{16,31,1054},{15,29,9},{6,27,891},{31,21,3051},{6,27,891},{18,31,1210},{18,31,1210},{18,31,1210},
{17,28,891},{16,31,897},{15,29,9},{15,29,9},{14,24,86},{8,29,652},{10,24,18},{20,31,20},{20,31,20},{20,31,20},{20,26,8},{31,4,648},{16,28,5},{16,28,5},{11,24,2},{30,18,648},{11,24,2},{28,24,882},{22,31,157},{22,29,5},{15,29,5},{28,24,882},{24,28,882},{15,29,5},{0,27,890},{24,28,882},{0,27,890},{17,0,890},{17,0,890},{17,0,890},{17,0,890},{15,30,5},
{15,30,5},{15,30,5},{15,22,8},{10,25,5},{10,25,5},{21,31,4390},{19,31,2007},{19,31,1314},{18,30,943},{20,31,4932},{16,31,1287},{16,30,15},{15,27,1314},{11,31,3547},{9,28,958},{23,31,1784},{22,31,465},{21,31,89},{20,30,184},{28,20,3048},{18,31,1188},{16,30,6},{6,28,901},{28,24,3048},{6,28,901},{19,31,1278},{19,31,1278},{19,31,1278},{18,29,891},{17,31,1011},{16,30,11},{16,30,11},
{15,25,86},{9,30,652},{11,25,18},{21,31,53},{21,31,53},{21,31,53},{21,27,8},{31,7,648},{16,30,2},{16,30,2},{12,25,2},{31,19,648},{12,25,2},{29,25,882},{24,31,269},{23,30,5},{16,30,5},{29,25,882},{27,28,882},{16,30,5},{0,28,900},{27,28,882},{0,28,900},{18,0,890},{18,0,890},{18,0,890},{18,0,890},{16,30,10},{16,30,10},{16,30,10},{16,23,10},{11,26,5},
{11,26,5},{22,31,4471},{20,31,2295},{20,31,1395},{19,31,936},{21,31,4906},{18,31,1414},{17,31,8},{16,28,1161},{13,31,3570},{11,28,818},{24,31,1769},{23,31,590},{23,31,106},{22,30,146},{29,21,2814},{19,31,1206},{17,31,4},{8,29,786},{31,24,2814},{8,29,786},{20,31,1395},{20,31,1395},{20,31,1395},{19,30,900},{19,31,1134},{17,31,8},{17,31,8},{16,26,76},{10,31,651},{13,26,24},{23,31,106},
{23,31,106},{23,31,106},{22,28,5},{28,16,648},{17,31,4},{17,31,4},{14,26,5},{24,24,648},{14,26,5},{31,24,761},{26,31,317},{24,31,1},{17,31,0},{31,24,761},{30,28,761},{17,31,0},{0,29,785},{30,28,761},{0,29,785},{19,0,900},{19,0,900},{19,0,900},{19,0,900},{17,31,8},{17,31,8},{17,31,8},{17,24,8},{12,27,5},{12,27,5},{23,31,3955},{22,31,2260},{21,31,1530},
{20,31,891},{22,31,4375},{19,31,1194},{18,31,54},{17,28,805},{15,31,3075},{12,29,498},{25,31,1417},{24,31,510},{24,31,149},{23,30,74},{31,19,2249},{21,31,937},{19,31,5},{11,29,482},{31,25,2249},{11,29,482},{21,31,1530},{21,31,1530},{21,31,1530},{20,31,891},{20,31,1251},{18,31,54},{18,31,54},{17,27,76},{12,31,691},{14,27,24},{24,31,149},{24,31,149},{24,31,149},{23,29,5},{29,17,648},
{19,31,5},{19,31,5},{15,27,5},{27,24,648},{15,27,5},{29,29,481},{27,31,202},{25,31,4},{20,31,1},{29,29,481},{31,28,481},{20,31,1},{0,29,481},{31,28,481},{0,29,481},{20,0,890},{20,0,890},{20,0,890},{20,0,890},{18,31,29},{18,31,29},{18,31,29},{18,25,8},{13,28,5},{13,28,5},{24,31,3609},{23,31,2199},{22,31,1683},{21,31,915},{23,31,3827},{20,31,1071},{19,31,153},
{18,29,485},{16,31,2690},{13,30,306},{26,31,1133},{25,31,489},{25,31,200},{24,31,20},{29,25,1769},{22,31,710},{21,31,41},{12,30,290},{27,28,1769},{12,30,290},{22,31,1683},{22,31,1683},{22,31,1683},{21,31,915},{21,31,1401},{19,31,153},{19,31,153},{18,28,86},{14,31,769},{14,28,18},{25,31,200},{25,31,200},{25,31,200},{24,30,8},{31,16,648},{21,31,41},{21,31,41},{15,28,2},{30,24,648},
{15,28,2},{31,27,265},{28,31,113},{27,31,1},{23,31,1},{31,27,265},{31,29,265},{23,31,1},{0,30,289},{31,29,265},{0,30,289},{21,0,890},{21,0,890},{21,0,890},{21,0,890},{19,31,53},{19,31,53},{19,31,53},{19,26,8},{14,29,5},{14,29,5},{24,31,3305},{24,31,2222},{23,31,1795},{22,31,990},{24,31,3438},{22,31,1087},{21,31,306},{19,30,293},{18,31,2403},{15,30,118},{27,31,857},
{26,31,465},{26,31,269},{25,31,8},{31,23,1374},{24,31,546},{23,31,98},{14,30,114},{31,27,1374},{14,30,114},{23,31,1795},{23,31,1795},{23,31,1795},{22,31,990},{22,31,1587},{21,31,306},{21,31,306},{19,29,86},{16,31,897},{15,29,18},{26,31,269},{26,31,269},{26,31,269},{25,31,8},{31,19,648},{23,31,98},{23,31,98},{16,29,2},{31,25,648},{16,29,2},{31,28,113},{29,31,52},{28,31,1},
{26,31,1},{31,28,113},{30,30,113},{26,31,1},{0,30,113},{30,30,113},{0,30,113},{22,0,890},{22,0,890},{22,0,890},{22,0,890},{20,31,90},{20,31,90},{20,31,90},{20,27,10},{15,30,5},{15,30,5},{25,31,3092},{25,31,2292},{24,31,1978},{24,31,1123},{25,31,3124},{23,31,1068},{22,31,525},{20,30,140},{20,31,2196},{16,31,41},{28,31,680},{27,31,458},{27,31,337},{26,31,65},{29,29,1032},
{26,31,456},{24,31,185},{16,31,37},{31,28,1032},{16,31,37},{24,31,1978},{24,31,1978},{24,31,1978},{24,31,1123},{24,31,1769},{22,31,525},{22,31,525},{20,30,76},{18,31,1080},{17,30,24},{27,31,337},{27,31,337},{27,31,337},{26,31,65},{28,28,648},{24,31,185},{24,31,185},{18,30,5},{28,28,648},{18,30,5},{31,30,18},{30,31,9},{30,31,0},{29,31,0},{31,30,18},{30,31,18},{29,31,0},
{0,31,36},{30,31,18},{0,31,36},{23,0,900},{23,0,900},{23,0,900},{23,0,900},{22,31,164},{22,31,164},{22,31,164},{21,28,8},{16,31,5},{16,31,5},{27,31,2818},{26,31,2254},{25,31,2043},{25,31,1243},{26,31,2829},{24,31,1099},{23,31,684},{21,31,72},{22,31,2007},{18,31,20},{29,31,566},{28,31,420},{28,31,356},{27,31,122},{31,27,771},{27,31,386},{26,31,232},{19,31,1},{31,29,771},
{19,31,1},{25,31,2043},{25,31,2043},{25,31,2043},{25,31,1243},{25,31,1819},{23,31,684},{23,31,684},{21,31,72},{20,31,1172},{18,31,20},{28,31,356},{28,31,356},{28,31,356},{27,31,122},{31,25,578},{26,31,232},{26,31,232},{19,31,1},{27,30,578},{19,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{23,31,200},{23,31,200},{23,31,200},{22,29,8},{18,31,20},{18,31,20},{27,31,2242},{27,31,1879},{26,31,1738},{26,31,1150},{27,31,2209},{24,31,987},{24,31,626},{23,31,20},{23,31,1560},{19,31,53},{29,31,342},{29,31,257},{29,31,221},{28,31,68},{31,28,452},{28,31,228},{27,31,137},{22,31,1},{30,30,452},{22,31,1},{26,31,1738},{26,31,1738},{26,31,1738},
{26,31,1150},{25,31,1499},{24,31,626},{24,31,626},{23,31,20},{22,31,950},{19,31,53},{29,31,221},{29,31,221},{29,31,221},{28,31,68},{31,26,340},{27,31,137},{27,31,137},{22,31,1},{30,29,340},{22,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{24,31,265},
{24,31,265},{24,31,265},{23,30,8},{19,31,53},{19,31,53},{28,31,1844},{27,31,1559},{27,31,1438},{27,31,1075},{27,31,1713},{26,31,853},{25,31,635},{24,31,10},{24,31,1207},{21,31,125},{30,31,172},{30,31,145},{29,31,125},{29,31,40},{31,29,216},{29,31,121},{28,31,68},{24,31,1},{31,30,216},{24,31,1},{27,31,1438},{27,31,1438},{27,31,1438},{27,31,1075},{27,31,1229},{25,31,635},{25,31,635},
{24,31,10},{23,31,756},{21,31,125},{29,31,125},{29,31,125},{29,31,125},{29,31,40},{31,28,164},{28,31,68},{28,31,68},{24,31,1},{30,30,164},{24,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{25,31,346},{25,31,346},{25,31,346},{24,31,10},{21,31,125},
{21,31,125},{0,19,1568},{0,13,202},{0,10,13},{0,8,596},{0,13,3371},{0,9,2162},{0,8,1080},{0,5,2539},{0,6,3648},{0,5,2708},{0,19,1568},{0,13,202},{0,10,13},{0,8,596},{6,1,3371},{0,9,2162},{0,8,1080},{0,5,2539},{13,0,3371},{0,5,2539},{0,9,0},{0,9,0},{0,9,0},{0,4,4},{0,4,290},{0,4,125},{0,4,125},{0,2,164},{0,2,321},{0,2,189},{0,9,0},
{0,9,0},{0,9,0},{0,4,4},{2,1,290},{0,4,125},{0,4,125},{0,2,164},{4,0,290},{0,2,164},{9,1,1568},{0,13,202},{0,10,13},{0,8,596},{9,1,1568},{19,0,1568},{0,8,596},{0,6,1586},{19,0,1568},{0,6,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,22,1568},{0,15,117},{0,11,8},
{0,9,485},{0,15,3971},{0,10,2369},{0,9,1061},{0,6,2834},{0,7,4341},{0,6,3090},{0,22,1568},{0,15,117},{0,11,8},{0,9,485},{7,1,3968},{0,10,2369},{0,9,1061},{0,6,2834},{11,2,3968},{0,6,2834},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{0,6,512},{0,5,194},{0,5,194},{0,3,320},{0,3,576},{0,2,381},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{3,0,512},
{0,5,194},{0,5,194},{0,3,320},{6,0,512},{0,3,320},{11,0,1568},{0,15,117},{0,11,8},{0,9,485},{11,0,1568},{22,0,1568},{0,9,485},{0,7,1586},{22,0,1568},{0,7,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,1568},{0,17,45},{0,12,58},{0,10,392},{0,17,4652},{0,11,2596},{0,10,1121},
{0,7,3254},{0,8,5140},{0,6,3570},{0,25,1568},{0,17,45},{0,12,58},{0,10,392},{8,1,4652},{0,11,2596},{0,10,1121},{0,7,3254},{17,0,4652},{0,7,3254},{0,15,1},{0,15,1},{0,15,1},{0,7,4},{0,7,802},{0,6,320},{0,6,320},{0,3,512},{0,3,896},{0,3,576},{0,15,1},{0,15,1},{0,15,1},{0,7,4},{3,2,802},{0,6,320},{0,6,320},{0,3,512},{7,0,802},
{0,3,512},{12,1,1568},{0,17,45},{1,12,13},{0,10,392},{12,1,1568},{25,0,1568},{0,10,392},{0,8,1576},{25,0,1568},{0,8,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,28,1570},{0,19,16},{0,13,178},{0,11,340},{0,19,5424},{0,13,2843},{0,11,1240},{0,8,3704},{0,9,6003},{0,7,4095},{0,28,1570},
{0,19,16},{1,13,122},{0,11,340},{7,5,5419},{0,13,2843},{0,11,1240},{0,8,3704},{15,2,5419},{0,8,3704},{0,18,1},{0,18,1},{0,18,1},{0,9,1},{0,9,1152},{0,7,461},{0,7,461},{0,4,709},{0,4,1281},{0,4,830},{0,18,1},{0,18,1},{0,18,1},{0,9,1},{4,1,1152},{0,7,461},{0,7,461},{0,4,709},{9,0,1152},{0,4,709},{14,0,1568},{0,19,16},{2,13,13},
{0,11,340},{14,0,1568},{26,1,1568},{0,11,340},{0,9,1576},{26,1,1568},{0,9,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,29,1633},{1,20,75},{1,14,265},{0,13,313},{0,22,5419},{0,14,2571},{0,12,853},{0,9,3410},{0,10,6244},{0,9,3986},{1,29,1569},{1,20,11},{2,14,117},{0,13,313},{11,0,5419},
{0,14,2571},{0,12,853},{0,9,3410},{22,0,5419},{0,9,3410},{1,19,65},{1,19,65},{1,19,65},{1,10,65},{0,12,1152},{0,9,289},{0,9,289},{0,5,580},{0,5,1393},{0,5,749},{1,19,1},{1,19,1},{1,19,1},{1,10,1},{4,4,1152},{0,9,289},{0,9,289},{0,5,580},{12,0,1152},{0,5,580},{13,5,1568},{0,21,4},{3,14,13},{0,13,232},{13,5,1568},{31,0,1568},{0,13,232},
{0,10,1586},{31,0,1568},{0,10,1586},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,3,1},{0,3,1},{0,3,1},{0,2,1},{0,1,20},{0,1,20},{1,31,1731},{1,22,149},{2,15,457},{1,14,377},{0,25,5419},{0,16,2347},{0,13,556},{0,10,3179},{0,11,6495},{0,9,3890},{2,30,1569},{2,21,11},{3,15,117},{1,14,313},{12,1,5419},{0,16,2347},{0,13,556},{0,10,3179},{25,0,5419},
{0,10,3179},{1,22,145},{1,22,145},{1,22,145},{1,11,154},{0,15,1152},{0,11,194},{0,11,194},{0,6,481},{0,7,1531},{0,6,737},{2,20,1},{2,20,1},{2,20,1},{2,11,1},{5,5,1152},{0,11,194},{0,11,194},{0,6,481},{15,0,1152},{0,6,481},{17,0,1568},{1,22,4},{4,15,8},{0,14,157},{17,0,1568},{30,2,1568},{0,14,157},{0,11,1586},{30,2,1568},{0,11,1586},{1,0,145},
{1,0,145},{1,0,145},{1,0,145},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,3,65},{0,3,65},{2,31,1977},{2,23,341},{2,16,707},{1,15,510},{0,28,5424},{0,17,2137},{0,15,373},{0,11,3035},{0,13,6709},{0,10,3860},{3,31,1569},{3,22,11},{4,16,122},{2,15,313},{14,0,5419},{0,17,2137},{0,15,373},{0,11,3035},{26,1,5419},{0,11,3035},{2,23,337},{2,23,337},{2,23,337},
{2,12,341},{0,18,1152},{0,13,104},{0,13,104},{0,8,410},{0,8,1686},{0,7,786},{3,21,1},{3,21,1},{3,21,1},{3,12,2},{9,0,1152},{0,13,104},{0,13,104},{0,8,410},{18,0,1152},{0,8,410},{18,1,1568},{2,23,4},{5,16,13},{0,15,117},{18,1,1568},{31,3,1568},{0,15,117},{0,12,1576},{31,3,1568},{0,12,1576},{2,0,337},{2,0,337},{2,0,337},{2,0,337},{0,9,1},
{0,9,1},{0,9,1},{0,5,4},{0,4,130},{0,4,130},{3,31,2353},{2,24,570},{3,17,1027},{2,16,714},{0,31,5424},{0,19,1979},{0,16,195},{0,12,2857},{0,14,7039},{0,11,3919},{4,31,1576},{4,23,16},{5,17,122},{3,16,331},{15,1,5419},{0,19,1979},{0,16,195},{0,12,2857},{27,2,5419},{0,12,2857},{2,26,546},{2,26,546},{2,26,546},{2,14,546},{0,21,1152},{0,14,50},{0,14,50},
{0,9,305},{0,9,1856},{0,8,830},{4,22,1},{4,22,1},{4,22,1},{4,13,1},{10,1,1152},{0,14,50},{0,14,50},{0,9,305},{21,0,1152},{0,9,305},{19,2,1568},{3,24,10},{6,17,13},{0,16,74},{19,2,1568},{30,5,1568},{0,16,74},{0,13,1576},{30,5,1568},{0,13,1576},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,12,0},{0,12,0},{0,12,0},{0,6,1},{0,5,205},
{0,5,205},{4,31,2980},{3,26,925},{3,19,1484},{2,17,1032},{1,31,5504},{0,21,1811},{0,17,61},{0,13,2651},{0,16,7420},{0,13,3876},{6,31,1619},{5,24,11},{6,18,117},{4,17,313},{17,0,5419},{0,21,1811},{0,17,61},{0,13,2651},{30,2,5419},{0,13,2651},{3,27,900},{3,27,900},{3,27,900},{3,15,900},{0,24,1152},{0,16,8},{0,16,8},{0,10,208},{0,11,2124},{0,9,881},{5,23,1},
{5,23,1},{5,23,1},{5,14,1},{12,0,1152},{0,16,8},{0,16,8},{0,10,208},{24,0,1152},{0,10,208},{21,1,1568},{4,25,4},{7,18,13},{0,17,45},{21,1,1568},{27,8,1568},{0,17,45},{0,14,1586},{27,8,1568},{0,14,1586},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{0,15,1},{0,15,1},{0,15,1},{0,8,4},{0,6,356},{0,6,356},{4,31,3668},{3,27,1320},{4,20,1940},
{3,18,1352},{2,31,5771},{0,23,1737},{0,18,37},{0,14,2486},{0,17,7711},{0,14,3930},{7,31,1635},{6,25,11},{7,19,117},{5,18,313},{18,1,5419},{0,23,1737},{0,18,37},{0,14,2486},{31,3,5419},{0,14,2486},{3,30,1252},{3,30,1252},{3,30,1252},{3,16,1256},{0,27,1152},{0,18,1},{0,18,1},{0,11,164},{0,12,2369},{0,10,1001},{6,24,1},{6,24,1},{6,24,1},{6,15,1},{13,1,1152},
{0,18,1},{0,18,1},{0,11,164},{27,0,1152},{0,11,164},{23,0,1568},{5,26,4},{8,19,8},{0,18,36},{23,0,1568},{30,8,1568},{0,18,36},{0,15,1586},{30,8,1568},{0,15,1586},{3,0,1252},{3,0,1252},{3,0,1252},{3,0,1252},{0,18,1},{0,18,1},{0,18,1},{0,9,1},{0,7,505},{0,7,505},{5,31,4346},{4,28,1644},{5,21,2372},{4,19,1703},{3,31,6079},{0,24,1644},{0,20,38},
{0,15,2390},{0,18,7969},{0,15,3907},{8,31,1682},{7,26,11},{8,20,122},{6,19,313},{19,2,5419},{0,24,1640},{0,20,34},{0,15,2386},{30,5,5419},{0,15,2386},{4,31,1587},{4,31,1587},{4,31,1587},{4,17,1590},{0,30,1156},{0,20,29},{0,20,29},{0,12,117},{0,13,2483},{0,11,1044},{7,25,1},{7,25,1},{7,25,1},{7,16,2},{15,0,1152},{1,19,1},{1,19,1},{0,12,113},{30,0,1152},
{0,12,113},{24,1,1568},{6,27,4},{9,20,13},{0,20,25},{24,1,1568},{31,9,1568},{0,20,25},{0,16,1576},{31,9,1568},{0,16,1576},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{0,21,5},{0,21,5},{0,21,5},{0,11,8},{0,9,565},{0,9,565},{7,31,4580},{5,29,1644},{6,22,2372},{4,20,1692},{4,31,6228},{1,25,1644},{1,21,38},{1,16,2348},{0,20,7577},{0,16,3408},{9,31,1760},
{8,27,16},{9,21,122},{7,20,331},{19,5,5419},{0,26,1593},{2,20,27},{0,16,2252},{31,6,5419},{0,16,2252},{5,31,1590},{5,31,1590},{5,31,1590},{5,18,1590},{1,31,1156},{1,21,29},{1,21,29},{1,13,117},{0,15,2241},{0,13,699},{8,26,1},{8,26,1},{8,26,1},{8,17,1},{16,1,1152},{2,20,2},{2,20,2},{0,13,74},{31,1,1152},{0,13,74},{26,0,1568},{7,28,10},{10,21,13},
{0,21,10},{26,0,1568},{30,11,1568},{0,21,10},{0,17,1576},{30,11,1568},{0,17,1576},{5,0,1586},{5,0,1586},{5,0,1586},{5,0,1586},{1,22,5},{1,22,5},{1,22,5},{1,12,8},{0,10,433},{0,10,433},{8,31,4826},{6,30,1644},{7,23,2352},{6,21,1676},{5,31,6463},{2,26,1644},{2,22,38},{2,17,2348},{0,22,7196},{0,17,2863},{11,31,1865},{9,28,11},{10,22,117},{8,21,313},{23,0,5419},
{1,27,1586},{2,22,29},{0,18,2115},{30,8,5419},{0,18,2115},{6,31,1612},{6,31,1612},{6,31,1612},{6,19,1585},{3,30,1179},{3,21,29},{3,21,29},{2,14,122},{0,17,1953},{0,14,426},{9,27,1},{9,27,1},{9,27,1},{9,18,1},{16,4,1152},{3,21,4},{3,21,4},{0,15,49},{28,4,1152},{0,15,49},{25,5,1568},{8,29,4},{11,22,13},{1,22,4},{25,5,1568},{31,12,1568},{1,22,4},
{0,18,1586},{31,12,1568},{0,18,1586},{6,0,1576},{6,0,1576},{6,0,1576},{6,0,1576},{2,24,10},{2,24,10},{2,24,10},{2,13,10},{0,13,272},{0,13,272},{9,31,5108},{7,31,1644},{8,24,2372},{7,22,1676},{7,31,6660},{3,27,1644},{3,23,38},{3,18,2348},{0,23,6891},{0,18,2519},{12,31,1952},{10,29,11},{11,23,117},{9,22,313},{24,1,5419},{2,28,1584},{3,23,29},{0,19,2027},{31,9,5419},
{0,19,2027},{7,31,1640},{7,31,1640},{7,31,1640},{7,20,1580},{4,31,1188},{3,23,34},{3,23,34},{3,15,122},{0,19,1795},{0,15,261},{10,28,1},{10,28,1},{10,28,1},{10,19,1},{17,5,1152},{4,22,1},{4,22,1},{0,16,26},{31,4,1152},{0,16,26},{29,0,1568},{9,30,4},{12,23,8},{2,23,4},{29,0,1568},{30,14,1568},{2,23,4},{0,19,1586},{30,14,1568},{0,19,1586},{7,0,1576},
{7,0,1576},{7,0,1576},{7,0,1576},{3,24,10},{3,24,10},{3,24,10},{3,14,10},{0,14,170},{0,14,170},{10,31,5426},{8,31,1695},{9,25,2372},{8,23,1703},{8,31,6861},{4,28,1644},{4,24,38},{3,19,2372},{0,25,6573},{0,19,2268},{13,31,2066},{11,30,11},{12,24,122},{10,23,313},{26,0,5419},{3,29,1584},{4,24,34},{0,20,1937},{30,11,5419},{0,20,1937},{8,31,1686},{8,31,1686},{8,31,1686},
{8,21,1590},{5,31,1206},{4,24,29},{4,24,29},{4,16,117},{0,20,1602},{0,17,126},{11,29,1},{11,29,1},{11,29,1},{11,20,2},{21,0,1152},{5,23,1},{5,23,1},{0,17,5},{30,6,1152},{0,17,5},{30,1,1568},{10,31,4},{13,24,13},{3,24,10},{30,1,1568},{31,15,1568},{3,24,10},{0,20,1576},{31,15,1568},{0,20,1576},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{4,25,5},
{4,25,5},{4,25,5},{4,15,8},{0,16,90},{0,16,90},{11,31,5658},{9,31,1836},{10,26,2372},{8,24,1692},{9,31,7116},{5,29,1644},{5,25,38},{5,20,2348},{0,26,6379},{0,21,2028},{14,31,2216},{12,31,16},{13,25,122},{11,24,331},{27,1,5419},{2,31,1584},{6,24,27},{0,21,1832},{27,14,5419},{0,21,1832},{9,31,1755},{9,31,1755},{9,31,1755},{9,22,1590},{6,31,1260},{5,25,29},{5,25,29},
{5,17,117},{0,22,1459},{0,18,38},{12,30,1},{12,30,1},{12,30,1},{12,21,1},{22,1,1152},{6,24,2},{6,24,2},{0,18,2},{31,7,1152},{0,18,2},{31,2,1568},{11,31,13},{14,25,13},{4,25,10},{31,2,1568},{30,17,1568},{4,25,10},{0,21,1576},{30,17,1568},{0,21,1576},{9,0,1586},{9,0,1586},{9,0,1586},{9,0,1586},{5,26,5},{5,26,5},{5,26,5},{5,16,8},{0,18,37},
{0,18,37},{12,31,6036},{11,31,2033},{11,27,2352},{10,25,1676},{11,31,7423},{6,30,1644},{6,26,38},{6,21,2348},{0,28,6109},{0,22,1794},{15,31,2371},{13,31,50},{14,26,117},{12,25,313},{29,0,5419},{5,31,1586},{6,26,29},{0,22,1730},{30,14,5419},{0,22,1730},{10,31,1865},{10,31,1865},{10,31,1865},{10,23,1585},{7,31,1339},{7,25,29},{7,25,29},{6,18,122},{0,23,1345},{0,19,16},{13,31,1},
{13,31,1},{13,31,1},{13,22,1},{24,0,1152},{7,25,4},{7,25,4},{2,19,1},{24,12,1152},{2,19,1},{29,9,1568},{14,31,41},{15,26,13},{5,26,4},{29,9,1568},{27,20,1568},{5,26,4},{0,22,1586},{27,20,1568},{0,22,1586},{10,0,1576},{10,0,1576},{10,0,1576},{10,0,1576},{6,28,10},{6,28,10},{6,28,10},{6,17,10},{0,20,13},{0,20,13},{13,31,6450},{12,31,2268},{12,28,2372},
{11,26,1676},{12,31,7676},{7,31,1644},{7,27,38},{7,22,2348},{0,30,5924},{0,23,1695},{17,31,2536},{15,31,139},{15,27,117},{13,26,313},{30,1,5419},{7,31,1635},{7,27,29},{0,23,1686},{31,15,5419},{0,23,1686},{11,31,1937},{11,31,1937},{11,31,1937},{11,24,1580},{9,31,1420},{7,27,34},{7,27,34},{7,19,122},{0,25,1234},{1,20,17},{14,31,10},{14,31,10},{14,31,10},{14,23,1},{25,1,1152},
{8,26,1},{8,26,1},{2,20,2},{27,12,1152},{2,20,2},{31,8,1568},{15,31,90},{16,27,8},{6,27,4},{31,8,1568},{30,20,1568},{6,27,4},{0,23,1586},{30,20,1568},{0,23,1586},{11,0,1576},{11,0,1576},{11,0,1576},{11,0,1576},{7,28,10},{7,28,10},{7,28,10},{7,18,10},{0,21,10},{0,21,10},{15,31,6772},{13,31,2595},{13,29,2372},{12,27,1703},{13,31,7985},{8,31,1725},{8,28,38},
{7,23,2372},{0,31,5773},{0,24,1644},{18,31,2722},{16,31,261},{16,28,122},{14,27,313},{31,2,5419},{8,31,1721},{8,28,34},{0,24,1640},{30,17,5419},{0,24,1640},{12,31,2027},{12,31,2027},{12,31,2027},{12,25,1590},{10,31,1510},{8,28,29},{8,28,29},{8,20,117},{0,27,1188},{2,21,17},{15,31,26},{15,31,26},{15,31,26},{15,24,2},{27,0,1152},{9,27,1},{9,27,1},{3,21,2},{30,12,1152},
{3,21,2},{31,11,1568},{17,31,180},{17,28,13},{7,28,10},{31,11,1568},{31,21,1568},{7,28,10},{0,24,1576},{31,21,1568},{0,24,1576},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{8,29,5},{8,29,5},{8,29,5},{8,19,8},{1,22,10},{1,22,10},{16,31,7154},{14,31,2955},{14,30,2372},{12,28,1692},{14,31,8348},{10,31,1895},{9,29,38},{9,24,2348},{1,31,5956},{1,25,1644},{19,31,2866},
{17,31,468},{17,29,122},{15,28,331},{31,5,5419},{10,31,1859},{10,28,27},{0,25,1601},{31,18,5419},{0,25,1601},{13,31,2162},{13,31,2162},{13,31,2162},{13,26,1590},{11,31,1590},{9,29,29},{9,29,29},{9,21,117},{0,28,1161},{3,22,17},{16,31,49},{16,31,49},{16,31,49},{16,25,1},{28,1,1152},{10,28,2},{10,28,2},{4,22,2},{31,13,1152},{4,22,2},{31,14,1568},{19,31,277},{18,29,13},
{8,29,10},{31,14,1568},{30,23,1568},{8,29,10},{0,25,1576},{30,23,1568},{0,25,1576},{13,0,1586},{13,0,1586},{13,0,1586},{13,0,1586},{9,30,5},{9,30,5},{9,30,5},{9,20,8},{2,23,10},{2,23,10},{17,31,7636},{15,31,3408},{15,31,2352},{14,29,1676},{16,31,8673},{11,31,2187},{10,30,38},{10,25,2348},{3,31,6235},{2,26,1644},{20,31,3112},{19,31,754},{18,30,117},{16,29,313},{31,8,5419},
{12,31,2060},{10,30,29},{0,26,1587},{30,20,5419},{0,26,1587},{15,31,2252},{15,31,2252},{15,31,2252},{14,27,1585},{12,31,1740},{11,29,29},{11,29,29},{10,22,122},{0,30,1163},{4,23,16},{18,31,85},{18,31,85},{18,31,85},{17,26,1},{28,4,1152},{11,29,4},{11,29,4},{6,23,1},{28,16,1152},{6,23,1},{29,21,1568},{20,31,436},{19,30,13},{9,30,4},{29,21,1568},{31,24,1568},{9,30,4},
{0,26,1586},{31,24,1568},{0,26,1586},{14,0,1576},{14,0,1576},{14,0,1576},{14,0,1576},{10,31,13},{10,31,13},{10,31,13},{10,21,10},{3,24,10},{3,24,10},{18,31,8122},{16,31,3907},{16,31,2390},{15,30,1676},{17,31,9036},{12,31,2576},{11,31,38},{11,26,2348},{6,31,6555},{3,27,1644},{22,31,3392},{20,31,1044},{19,31,117},{17,30,313},{31,11,5419},{15,31,2284},{11,31,29},{0,27,1587},{31,21,5419},
{0,27,1587},{16,31,2386},{16,31,2386},{16,31,2386},{15,28,1580},{14,31,1924},{11,31,34},{11,31,34},{11,23,122},{1,31,1163},{5,24,17},{19,31,113},{19,31,113},{19,31,113},{18,27,1},{29,5,1152},{12,30,1},{12,30,1},{6,24,2},{31,16,1152},{6,24,2},{31,20,1568},{22,31,593},{20,31,8},{10,31,4},{31,20,1568},{30,26,1568},{10,31,4},{0,27,1586},{30,26,1568},{0,27,1586},{15,0,1576},
{15,0,1576},{15,0,1576},{15,0,1576},{11,31,25},{11,31,25},{11,31,25},{11,22,10},{4,25,10},{4,25,10},{19,31,7638},{17,31,4060},{17,31,2539},{16,30,1659},{18,31,8553},{14,31,2430},{13,31,37},{11,27,1940},{7,31,6120},{4,28,1320},{23,31,2996},{20,31,1064},{20,31,164},{19,30,186},{29,17,4803},{16,31,2018},{13,31,1},{1,28,1253},{27,24,4803},{1,28,1253},{17,31,2539},{17,31,2539},{17,31,2539},
{16,29,1590},{15,31,2028},{13,31,37},{13,31,37},{12,24,117},{3,31,1170},{6,25,17},{20,31,164},{20,31,164},{20,31,164},{19,28,2},{31,4,1152},{13,31,1},{13,31,1},{7,25,2},{30,18,1152},{7,25,2},{31,22,1250},{24,31,505},{22,31,0},{13,31,0},{31,22,1250},{30,27,1250},{13,31,0},{0,28,1252},{30,27,1250},{0,28,1252},{16,0,1586},{16,0,1586},{16,0,1586},{16,0,1586},{13,31,37},
{13,31,37},{13,31,37},{12,23,8},{5,26,10},{5,26,10},{20,31,7060},{19,31,3955},{18,31,2710},{17,31,1595},{19,31,7717},{15,31,2140},{14,31,77},{13,28,1480},{8,31,5539},{6,28,925},{23,31,2516},{22,31,945},{21,31,233},{20,30,100},{31,15,4056},{18,31,1656},{15,31,8},{4,28,900},{31,23,4056},{4,28,900},{18,31,2710},{18,31,2710},{18,31,2710},{17,30,1590},{16,31,2193},{14,31,77},{14,31,77},
{13,25,117},{5,31,1233},{7,26,17},{21,31,233},{21,31,233},{21,31,233},{20,29,1},{31,7,1152},{15,31,8},{15,31,8},{8,26,2},{31,19,1152},{8,26,2},{31,23,884},{25,31,370},{23,31,4},{16,31,1},{31,23,884},{31,27,884},{16,31,1},{0,28,900},{31,27,884},{0,28,900},{17,0,1586},{17,0,1586},{17,0,1586},{17,0,1586},{14,31,52},{14,31,52},{14,31,52},{13,24,8},{6,27,10},
{6,27,10},{21,31,6535},{20,31,3919},{19,31,2857},{18,31,1585},{20,31,6979},{16,31,1942},{15,31,195},{14,28,990},{11,31,4914},{7,29,562},{24,31,2045},{23,31,830},{22,31,338},{21,31,26},{29,21,3318},{19,31,1314},{17,31,52},{5,29,546},{31,24,3318},{5,29,546},{19,31,2857},{19,31,2857},{19,31,2857},{18,31,1585},{17,31,2436},{15,31,195},{15,31,195},{14,26,122},{7,31,1339},{8,27,16},{22,31,338},
{22,31,338},{22,31,338},{21,30,1},{28,16,1152},{17,31,52},{17,31,52},{10,27,1},{24,24,1152},{10,27,1},{31,25,545},{26,31,221},{25,31,0},{19,31,0},{31,25,545},{31,28,545},{19,31,0},{0,29,545},{31,28,545},{0,29,545},{18,0,1576},{18,0,1576},{18,0,1576},{18,0,1576},{15,31,74},{15,31,74},{15,31,74},{14,25,10},{7,28,10},{7,28,10},{22,31,6151},{20,31,3935},{20,31,3035},
{19,31,1640},{21,31,6458},{18,31,1902},{16,31,373},{15,29,670},{12,31,4499},{8,29,347},{25,31,1729},{24,31,786},{23,31,410},{22,31,1},{31,19,2753},{20,31,1094},{19,31,113},{8,29,338},{31,25,2753},{8,29,338},{20,31,3035},{20,31,3035},{20,31,3035},{19,31,1640},{19,31,2630},{16,31,373},{16,31,373},{15,27,122},{10,31,1483},{9,28,17},{23,31,410},{23,31,410},{23,31,410},{22,31,1},{29,17,1152},
{19,31,113},{19,31,113},{10,28,2},{27,24,1152},{10,28,2},{31,26,317},{27,31,130},{26,31,9},{22,31,0},{31,26,317},{30,29,317},{22,31,0},{0,29,337},{30,29,317},{0,29,337},{19,0,1576},{19,0,1576},{19,0,1576},{19,0,1576},{16,31,117},{16,31,117},{16,31,117},{15,26,10},{8,29,10},{8,29,10},{23,31,5691},{22,31,4004},{21,31,3254},{20,31,1755},{22,31,6023},{19,31,1830},{18,31,606},
{16,29,430},{14,31,4162},{9,30,155},{26,31,1481},{25,31,801},{24,31,505},{23,31,26},{29,25,2273},{22,31,914},{20,31,194},{9,30,146},{27,28,2273},{9,30,146},{21,31,3254},{21,31,3254},{21,31,3254},{20,31,1755},{20,31,2835},{18,31,606},{18,31,606},{16,28,117},{11,31,1665},{10,29,17},{24,31,505},{24,31,505},{24,31,505},{23,31,26},{31,16,1152},{20,31,194},{20,31,194},{11,29,2},{30,24,1152},
{11,29,2},{31,28,145},{28,31,65},{28,31,1},{25,31,0},{31,28,145},{30,30,145},{25,31,0},{0,30,145},{30,30,145},{0,30,145},{20,0,1586},{20,0,1586},{20,0,1586},{20,0,1586},{17,31,180},{17,31,180},{17,31,180},{16,27,8},{9,30,10},{9,30,10},{24,31,5421},{23,31,3999},{22,31,3491},{21,31,1947},{23,31,5539},{20,31,1879},{19,31,853},{17,30,238},{16,31,3922},{11,30,81},{27,31,1229},
{26,31,813},{26,31,617},{24,31,100},{31,23,1878},{23,31,822},{22,31,305},{12,30,66},{31,27,1878},{12,30,66},{22,31,3491},{22,31,3491},{22,31,3491},{21,31,1947},{21,31,3081},{19,31,853},{19,31,853},{17,29,117},{14,31,1905},{11,30,17},{26,31,617},{26,31,617},{26,31,617},{24,31,100},{31,19,1152},{22,31,305},{22,31,305},{12,30,2},{31,25,1152},{12,30,2},{31,29,45},{30,31,18},{29,31,4},
{28,31,1},{31,29,45},{31,30,45},{28,31,1},{0,30,65},{31,30,45},{0,30,65},{21,0,1586},{21,0,1586},{21,0,1586},{21,0,1586},{18,31,261},{18,31,261},{18,31,261},{17,28,8},{10,31,10},{10,31,10},{24,31,5178},{24,31,4095},{23,31,3704},{22,31,2201},{24,31,5197},{21,31,2101},{20,31,1240},{18,31,153},{18,31,3760},{12,31,16},{28,31,1088},{27,31,830},{27,31,709},{26,31,245},{29,29,1536},
{26,31,792},{24,31,461},{14,31,1},{31,28,1536},{14,31,1},{23,31,3704},{23,31,3704},{23,31,3704},{22,31,2201},{23,31,3396},{20,31,1240},{20,31,1240},{18,30,122},{15,31,2208},{12,31,16},{27,31,709},{27,31,709},{27,31,709},{26,31,245},{28,28,1152},{24,31,461},{24,31,461},{14,31,1},{28,28,1152},{14,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{22,0,1576},{22,0,1576},{22,0,1576},{22,0,1576},{20,31,340},{20,31,340},{20,31,340},{18,29,10},{12,31,16},{12,31,16},{25,31,4468},{24,31,3615},{24,31,3254},{23,31,2060},{24,31,4413},{22,31,1834},{21,31,1205},{19,31,58},{19,31,3127},{14,31,53},{28,31,768},{28,31,576},{28,31,512},{27,31,170},{31,26,1068},{26,31,536},{25,31,338},{16,31,1},{30,29,1068},
{16,31,1},{24,31,3254},{24,31,3254},{24,31,3254},{23,31,2060},{23,31,2852},{21,31,1205},{21,31,1205},{19,31,58},{16,31,1878},{14,31,53},{28,31,512},{28,31,512},{28,31,512},{27,31,170},{31,24,802},{25,31,338},{25,31,338},{16,31,1},{30,28,802},{16,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,1576},
{23,0,1576},{23,0,1576},{23,0,1576},{21,31,421},{21,31,421},{21,31,421},{19,30,10},{14,31,53},{14,31,53},{26,31,3858},{25,31,3188},{25,31,2899},{24,31,1947},{25,31,3700},{23,31,1596},{23,31,1112},{20,31,8},{20,31,2588},{16,31,117},{29,31,498},{28,31,384},{28,31,320},{27,31,122},{31,27,683},{27,31,342},{26,31,212},{19,31,1},{31,29,683},{19,31,1},{25,31,2899},{25,31,2899},{25,31,2899},
{24,31,1947},{24,31,2441},{23,31,1112},{23,31,1112},{20,31,8},{18,31,1568},{16,31,117},{28,31,320},{28,31,320},{28,31,320},{27,31,122},{29,29,512},{26,31,212},{26,31,212},{19,31,1},{31,28,512},{19,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,1586},{24,0,1586},{24,0,1586},{24,0,1586},{22,31,520},
{22,31,520},{22,31,520},{20,31,8},{16,31,117},{16,31,117},{27,31,3258},{26,31,2790},{26,31,2594},{25,31,1875},{26,31,3105},{24,31,1447},{23,31,1080},{21,31,20},{22,31,2151},{18,31,208},{29,31,306},{29,31,221},{29,31,185},{28,31,64},{31,28,384},{28,31,192},{27,31,125},{22,31,1},{30,30,384},{22,31,1},{26,31,2594},{26,31,2594},{26,31,2594},{25,31,1875},{25,31,2131},{23,31,1080},{23,31,1080},
{21,31,20},{20,31,1336},{18,31,208},{29,31,185},{29,31,185},{29,31,185},{28,31,64},{31,27,290},{27,31,125},{27,31,125},{22,31,1},{31,29,290},{22,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,1586},{25,0,1586},{25,0,1586},{25,0,1586},{23,31,596},{23,31,596},{23,31,596},{21,31,20},{18,31,208},
{18,31,208},{0,25,2669},{0,18,320},{0,13,5},{0,11,985},{0,17,5885},{0,11,3745},{0,10,1746},{0,7,4421},{0,8,6385},{0,7,4782},{0,25,2669},{0,18,320},{0,13,5},{0,11,985},{8,1,5885},{0,11,3745},{0,10,1746},{0,7,4421},{17,0,5885},{0,7,4421},{0,12,0},{0,12,0},{0,12,0},{0,6,1},{0,6,545},{0,5,205},{0,5,205},{0,3,337},{0,3,609},{0,3,401},{0,12,0},
{0,12,0},{0,12,0},{0,6,1},{3,0,545},{0,5,205},{0,5,205},{0,3,337},{6,0,545},{0,3,337},{13,0,2669},{0,18,320},{0,13,5},{0,11,985},{13,0,2669},{25,0,2669},{0,11,985},{0,8,2689},{25,0,2669},{0,8,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,28,2665},{0,20,212},{0,14,10},
{0,12,850},{0,19,6669},{0,13,3974},{0,11,1837},{0,8,4865},{0,9,7266},{0,7,5310},{0,28,2665},{0,20,212},{0,14,10},{0,12,850},{9,1,6669},{0,13,3974},{0,11,1837},{0,8,4865},{19,0,6669},{0,8,4865},{0,15,0},{0,15,0},{0,15,0},{0,7,9},{0,7,845},{0,6,337},{0,6,337},{0,3,545},{0,3,945},{0,3,609},{0,15,0},{0,15,0},{0,15,0},{0,7,9},{3,2,841},
{0,6,337},{0,6,337},{0,3,545},{6,1,841},{0,3,545},{12,4,2665},{0,20,212},{1,14,5},{0,12,850},{12,4,2665},{28,0,2665},{0,12,850},{0,9,2689},{28,0,2665},{0,9,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,2665},{0,21,113},{0,15,65},{0,13,709},{0,21,7538},{0,14,4289},{0,12,1907},
{0,9,5330},{0,10,8294},{0,8,5845},{0,31,2665},{0,21,113},{0,15,65},{0,13,709},{10,1,7538},{0,14,4289},{0,12,1907},{0,9,5330},{21,0,7538},{0,9,5330},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{0,9,1201},{0,7,482},{0,7,482},{0,4,740},{0,4,1334},{0,4,861},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{4,1,1201},{0,7,482},{0,7,482},{0,4,740},{9,0,1201},
{0,4,740},{13,5,2665},{0,21,113},{2,15,5},{0,13,709},{13,5,2665},{31,0,2665},{0,13,709},{0,10,2689},{31,0,2665},{0,10,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,2809},{0,23,52},{0,16,173},{0,14,586},{0,23,8494},{0,15,4610},{0,13,1950},{0,9,5826},{0,11,9409},{0,9,6402},{1,31,2753},
{0,23,52},{1,16,132},{0,14,586},{11,1,8493},{0,15,4610},{0,13,1950},{0,9,5826},{19,2,8493},{0,9,5826},{0,21,0},{0,21,0},{0,21,0},{0,10,9},{0,10,1629},{0,9,640},{0,9,640},{0,5,985},{0,5,1798},{0,5,1154},{0,21,0},{0,21,0},{0,21,0},{0,10,9},{3,5,1625},{0,9,640},{0,9,640},{0,5,985},{7,2,1625},{0,5,985},{17,0,2665},{0,23,52},{2,16,13},
{0,14,586},{17,0,2665},{30,2,2665},{0,14,586},{0,11,2689},{30,2,2665},{0,11,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,31,3105},{0,25,8},{1,17,325},{0,15,512},{0,25,9669},{0,17,4961},{0,14,2120},{0,10,6421},{0,12,10774},{0,10,7150},{2,31,3033},{0,25,8},{1,17,261},{0,15,512},{12,1,9669},
{0,17,4961},{0,14,2120},{0,10,6421},{25,0,9669},{0,10,6421},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{0,12,2178},{0,9,865},{0,9,865},{0,6,1313},{0,5,2419},{0,5,1523},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{4,4,2178},{0,9,865},{0,9,865},{0,6,1313},{12,0,2178},{0,6,1313},{19,0,2669},{0,25,8},{4,17,5},{0,15,512},{19,0,2669},{31,3,2669},{0,15,512},
{0,12,2689},{31,3,2669},{0,12,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,31,3465},{0,27,65},{1,19,434},{0,17,474},{0,28,9670},{0,18,4658},{0,16,1717},{0,11,6209},{0,13,10979},{0,11,7109},{3,31,3101},{1,26,8},{2,18,261},{0,17,474},{14,0,9669},{0,18,4658},{0,16,1717},{0,11,6209},{26,1,9669},
{0,11,6209},{1,25,64},{1,25,64},{1,25,64},{1,13,64},{0,15,2178},{0,11,680},{0,11,680},{0,7,1189},{0,7,2557},{0,6,1457},{1,25,0},{1,25,0},{1,25,0},{1,13,0},{5,5,2178},{0,11,680},{0,11,680},{0,7,1189},{15,0,2178},{0,7,1189},{20,0,2665},{0,27,1},{5,18,5},{0,17,410},{20,0,2665},{24,8,2665},{0,17,410},{0,13,2689},{24,8,2665},{0,13,2689},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,3,0},{0,3,0},{0,3,0},{0,2,4},{0,1,13},{0,1,13},{3,31,3917},{1,28,129},{2,20,645},{1,18,538},{0,31,9670},{0,20,4330},{0,17,1246},{0,12,5925},{0,14,11321},{0,12,7014},{4,31,3218},{2,27,8},{3,19,261},{1,18,474},{15,1,9669},{0,20,4330},{0,17,1246},{0,12,5925},{27,2,9669},{0,12,5925},{1,28,128},{1,28,128},{1,28,128},
{1,15,132},{0,18,2178},{0,13,482},{0,13,482},{0,8,1040},{0,8,2712},{0,7,1470},{2,26,0},{2,26,0},{2,26,0},{2,14,0},{9,0,2178},{0,13,482},{0,13,482},{0,8,1040},{18,0,2178},{0,8,1040},{21,1,2665},{1,28,1},{6,19,5},{0,18,305},{21,1,2665},{27,8,2665},{0,18,305},{0,14,2689},{27,8,2665},{0,14,2689},{1,0,128},{1,0,128},{1,0,128},{1,0,128},{0,6,0},
{0,6,0},{0,6,0},{0,3,0},{0,2,61},{0,2,61},{3,31,4541},{2,29,321},{2,21,904},{1,19,625},{1,31,9749},{0,21,4018},{0,18,914},{0,14,5633},{0,16,11661},{0,13,6859},{5,31,3374},{3,28,10},{4,20,254},{2,19,474},{17,0,9670},{0,21,4018},{0,18,914},{0,14,5633},{30,2,9670},{0,14,5633},{2,29,320},{2,29,320},{2,29,320},{1,16,320},{0,21,2178},{0,15,353},{0,15,353},
{0,9,881},{0,9,2882},{0,9,1457},{3,27,0},{3,27,0},{3,27,0},{3,15,0},{10,1,2178},{0,15,353},{0,15,353},{0,9,881},{21,0,2178},{0,9,881},{23,0,2665},{2,29,1},{6,20,13},{0,19,245},{23,0,2665},{30,8,2665},{0,19,245},{0,15,2689},{30,8,2665},{0,15,2689},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,9,0},{0,9,0},{0,9,0},{0,4,4},{0,4,125},
{0,4,125},{4,31,5378},{2,31,570},{3,22,1267},{2,20,850},{2,31,10045},{0,23,3745},{0,19,642},{0,14,5354},{0,17,11993},{0,14,6798},{7,31,3553},{4,29,8},{5,21,261},{3,20,491},{18,1,9669},{0,23,3745},{0,19,642},{0,14,5354},{31,3,9669},{0,14,5354},{2,31,561},{2,31,561},{2,31,561},{2,17,546},{0,24,2178},{0,17,205},{0,17,205},{0,10,730},{0,11,3150},{0,9,1457},{4,28,0},
{4,28,0},{4,28,0},{4,16,0},{12,0,2178},{0,17,205},{0,17,205},{0,10,730},{24,0,2178},{0,10,730},{25,0,2669},{3,30,1},{8,21,5},{0,20,170},{25,0,2669},{31,9,2669},{0,20,170},{0,16,2689},{31,9,2669},{0,16,2689},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,12,0},{0,12,0},{0,12,0},{0,6,1},{0,5,205},{0,5,205},{5,31,6330},{3,31,905},{4,23,1718},
{2,21,1099},{3,31,10453},{0,25,3478},{0,21,369},{0,16,5138},{0,18,12455},{0,15,6867},{8,31,3710},{5,30,8},{6,22,261},{4,21,474},{19,2,9669},{0,25,3478},{0,21,369},{0,16,5138},{30,5,9669},{0,16,5138},{3,31,901},{3,31,901},{3,31,901},{3,18,866},{0,27,2178},{0,19,130},{0,19,130},{0,11,650},{0,12,3395},{0,10,1523},{5,29,0},{5,29,0},{5,29,0},{5,17,0},{13,1,2178},
{0,19,130},{0,19,130},{0,11,650},{27,0,2178},{0,11,650},{24,4,2665},{4,31,1},{9,22,5},{0,21,113},{24,4,2665},{28,12,2665},{0,21,113},{0,17,2689},{28,12,2665},{0,17,2689},{3,0,865},{3,0,865},{3,0,865},{3,0,865},{0,15,0},{0,15,0},{0,15,0},{0,7,9},{0,6,337},{0,6,337},{6,31,7446},{4,31,1458},{4,24,2174},{3,22,1419},{3,31,11045},{0,27,3314},{0,22,195},
{0,17,4865},{0,20,12855},{0,16,6882},{9,31,3902},{6,31,8},{7,23,261},{5,22,474},{19,5,9669},{0,27,3314},{0,22,195},{0,17,4865},{31,6,9669},{0,17,4865},{3,31,1397},{3,31,1397},{3,31,1397},{3,19,1210},{0,30,2178},{0,20,61},{0,20,61},{0,12,545},{0,13,3645},{0,12,1634},{6,30,0},{6,30,0},{6,30,0},{6,18,0},{15,0,2178},{0,20,61},{0,20,61},{0,12,545},{30,0,2178},
{0,12,545},{25,5,2665},{6,31,8},{10,23,5},{0,22,74},{25,5,2665},{31,12,2665},{0,22,74},{0,18,2689},{31,12,2665},{0,18,2689},{3,0,1201},{3,0,1201},{3,0,1201},{3,0,1201},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{0,7,482},{0,7,482},{7,31,8578},{4,31,2146},{5,25,2766},{3,23,1835},{4,31,11766},{0,28,3125},{0,23,94},{0,18,4610},{0,21,13238},{0,17,6837},{10,31,4130},
{7,31,49},{8,24,254},{6,23,474},{23,0,9670},{0,28,3125},{0,23,94},{0,18,4610},{30,8,9670},{0,18,4610},{4,31,1921},{4,31,1921},{4,31,1921},{3,21,1665},{0,31,2228},{0,22,18},{0,22,18},{0,14,425},{0,15,3987},{0,13,1677},{7,31,0},{7,31,0},{7,31,0},{7,19,0},{16,1,2178},{0,22,18},{0,22,18},{0,14,425},{31,1,2178},{0,14,425},{29,0,2665},{7,31,49},{10,24,13},
{0,23,58},{29,0,2665},{30,14,2665},{0,23,58},{0,19,2689},{30,14,2665},{0,19,2689},{3,0,1665},{3,0,1665},{3,0,1665},{3,0,1665},{0,21,0},{0,21,0},{0,21,0},{0,10,9},{0,9,640},{0,9,640},{7,31,10135},{5,31,3190},{5,26,3543},{4,24,2348},{5,31,12846},{0,30,2961},{0,25,30},{0,19,4421},{0,23,13846},{0,18,6930},{11,31,4345},{8,31,178},{9,25,261},{7,24,491},{24,1,9669},
{0,30,2961},{0,25,30},{0,19,4421},{31,9,9669},{0,19,4421},{5,31,2706},{5,31,2706},{5,31,2706},{4,22,2179},{1,31,2404},{0,24,0},{0,24,0},{0,15,337},{0,16,4356},{0,14,1833},{8,31,9},{8,31,9},{8,31,9},{8,20,0},{16,4,2178},{0,24,0},{0,24,0},{0,15,337},{28,4,2178},{0,15,337},{31,0,2669},{10,31,113},{12,25,5},{0,25,26},{31,0,2669},{31,15,2669},{0,25,26},
{0,20,2689},{31,15,2669},{0,20,2689},{4,0,2178},{4,0,2178},{4,0,2178},{4,0,2178},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{0,9,865},{0,9,865},{8,31,11466},{6,31,4187},{6,27,4166},{4,25,2818},{6,31,13898},{0,31,2871},{0,26,15},{0,20,4226},{0,24,14214},{0,19,7006},{12,31,4590},{10,31,321},{10,26,261},{8,25,474},{26,0,9669},{0,31,2870},{0,26,14},{0,20,4225},{30,11,9669},
{0,20,4225},{6,31,3458},{6,31,3458},{6,31,3458},{5,23,2690},{2,31,2691},{0,26,14},{0,26,14},{0,16,261},{0,17,4595},{0,15,1953},{9,31,36},{9,31,36},{9,31,36},{9,21,0},{17,5,2178},{1,25,0},{1,25,0},{0,16,260},{31,4,2178},{0,16,260},{28,8,2665},{11,31,194},{13,26,5},{0,26,5},{28,8,2665},{24,20,2665},{0,26,5},{0,21,2689},{24,20,2665},{0,21,2689},{5,0,2689},
{5,0,2689},{5,0,2689},{5,0,2689},{0,27,1},{0,27,1},{0,27,1},{0,14,5},{0,11,1037},{0,11,1037},{9,31,12054},{7,31,4578},{7,28,4118},{5,26,2818},{7,31,14214},{1,31,3042},{1,27,15},{0,21,4099},{0,25,13683},{0,21,6322},{14,31,4858},{11,31,514},{11,27,261},{9,26,474},{27,1,9669},{2,31,3014},{1,27,14},{0,21,4018},{27,14,9669},{0,21,4018},{7,31,3554},{7,31,3554},{7,31,3554},
{6,24,2689},{3,31,2795},{1,27,14},{1,27,14},{1,17,261},{0,19,4269},{0,16,1517},{11,31,73},{11,31,73},{11,31,73},{10,22,0},{21,0,2178},{2,26,0},{2,26,0},{0,17,185},{30,6,2178},{0,17,185},{29,9,2665},{13,31,320},{14,27,5},{0,27,1},{29,9,2665},{27,20,2665},{0,27,1},{0,22,2689},{27,20,2665},{0,22,2689},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{1,28,1},
{1,28,1},{1,28,1},{1,15,5},{0,13,797},{0,13,797},{11,31,12506},{8,31,5075},{8,29,4166},{6,27,2818},{8,31,14651},{3,31,3255},{2,28,23},{1,22,4099},{0,27,13238},{0,21,5650},{15,31,5054},{12,31,782},{12,28,254},{10,27,474},{29,0,9670},{3,31,3206},{2,28,22},{0,22,3829},{30,14,9670},{0,22,3829},{8,31,3706},{8,31,3706},{8,31,3706},{7,25,2689},{4,31,2946},{2,28,19},{2,28,19},
{2,18,261},{0,21,3906},{0,17,1106},{12,31,106},{12,31,106},{12,31,106},{11,23,0},{22,1,2178},{3,27,0},{3,27,0},{0,18,128},{31,7,2178},{0,18,128},{31,8,2665},{15,31,445},{14,28,13},{1,28,4},{31,8,2665},{30,20,2665},{1,28,4},{0,23,2689},{30,20,2665},{0,23,2689},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{2,29,1},{2,29,1},{2,29,1},{2,15,10},{0,14,637},
{0,14,637},{12,31,13094},{10,31,5782},{9,30,4166},{7,28,2838},{10,31,15213},{4,31,3618},{3,29,25},{2,23,4101},{0,29,12686},{0,23,5075},{16,31,5378},{14,31,1172},{13,29,261},{11,28,491},{30,1,9669},{6,31,3469},{3,29,21},{0,23,3706},{31,15,9669},{0,23,3706},{9,31,3890},{9,31,3890},{9,31,3890},{8,26,2690},{6,31,3157},{3,29,24},{3,29,24},{3,19,254},{0,23,3619},{0,19,782},{13,31,145},
{13,31,145},{13,31,145},{12,24,0},{24,0,2178},{4,28,0},{4,28,0},{0,19,106},{24,12,2178},{0,19,106},{31,11,2669},{16,31,640},{16,29,5},{2,29,2},{31,11,2669},{31,21,2669},{2,29,2},{0,24,2689},{31,21,2669},{0,24,2689},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{3,30,5},{3,30,5},{3,30,5},{3,17,8},{0,17,436},{0,17,436},{13,31,13718},{11,31,6325},{10,31,4166},
{8,29,2818},{11,31,15565},{6,31,4094},{4,30,15},{3,24,4118},{0,31,12355},{0,24,4578},{17,31,5738},{15,31,1517},{14,30,261},{12,29,474},{31,2,9669},{7,31,3761},{4,30,14},{0,24,3554},{30,17,9669},{0,24,3554},{10,31,4085},{10,31,4085},{10,31,4085},{9,27,2690},{7,31,3285},{4,30,14},{4,30,14},{4,20,261},{0,24,3330},{0,20,514},{14,31,208},{14,31,208},{14,31,208},{13,25,0},{25,1,2178},
{5,29,0},{5,29,0},{0,21,64},{27,12,2178},{0,21,64},{28,20,2665},{18,31,829},{17,30,5},{3,30,2},{28,20,2665},{28,24,2665},{3,30,2},{0,25,2689},{28,24,2665},{0,25,2689},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{4,31,1},{4,31,1},{4,31,1},{4,18,5},{0,18,306},{0,18,306},{14,31,14378},{12,31,7006},{11,31,4226},{9,30,2818},{12,31,16054},{7,31,4578},{5,31,15},
{4,25,4099},{0,31,12051},{0,25,4089},{19,31,5970},{16,31,1953},{15,31,261},{13,30,474},{31,5,9669},{10,31,4081},{5,31,14},{0,25,3413},{31,18,9669},{0,25,3413},{11,31,4225},{11,31,4225},{11,31,4225},{10,28,2689},{8,31,3476},{5,31,14},{5,31,14},{5,21,261},{0,26,3091},{0,21,289},{15,31,260},{15,31,260},{15,31,260},{14,26,0},{27,0,2178},{6,30,0},{6,30,0},{0,22,25},{30,12,2178},
{0,22,25},{29,21,2665},{20,31,1037},{18,31,5},{4,31,1},{29,21,2665},{31,24,2665},{4,31,1},{0,26,2689},{31,24,2665},{0,26,2689},{10,0,2689},{10,0,2689},{10,0,2689},{10,0,2689},{5,31,10},{5,31,10},{5,31,10},{5,19,5},{0,20,194},{0,20,194},{15,31,13557},{13,31,7094},{12,31,4421},{10,31,2769},{13,31,15228},{8,31,4270},{6,31,46},{5,26,3476},{0,31,11020},{0,26,3108},{20,31,5400},
{17,31,1931},{16,31,337},{15,30,320},{31,7,8712},{11,31,3630},{7,31,0},{0,26,2667},{31,19,8712},{0,26,2667},{12,31,4421},{12,31,4421},{12,31,4421},{11,29,2689},{9,31,3722},{6,31,46},{6,31,46},{6,22,261},{0,27,2882},{0,22,173},{16,31,337},{16,31,337},{16,31,337},{15,27,0},{28,1,2178},{7,31,0},{7,31,0},{0,23,9},{31,13,2178},{0,23,9},{31,19,2178},{22,31,881},{19,31,0},
{7,31,0},{31,19,2178},{31,25,2178},{7,31,0},{0,27,2178},{31,25,2178},{0,27,2178},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{6,31,37},{6,31,37},{6,31,37},{6,19,10},{0,22,109},{0,22,109},{16,31,12678},{14,31,7003},{13,31,4693},{12,31,2714},{15,31,14026},{10,31,3943},{8,31,94},{6,26,2766},{2,31,10074},{0,27,2146},{20,31,4698},{19,31,1746},{17,31,464},{16,30,164},{29,13,7578},
{12,31,3090},{9,31,20},{0,27,1921},{31,20,7578},{0,27,1921},{13,31,4693},{13,31,4693},{13,31,4693},{12,30,2690},{11,31,3939},{8,31,94},{8,31,94},{7,23,254},{0,29,2650},{0,24,49},{17,31,464},{17,31,464},{17,31,464},{16,28,0},{28,4,2178},{9,31,20},{9,31,20},{0,24,0},{28,16,2178},{0,24,0},{31,21,1625},{23,31,653},{21,31,4},{10,31,1},{31,21,1625},{31,26,1625},{10,31,1},
{0,27,1665},{31,26,1625},{0,27,1665},{12,0,2689},{12,0,2689},{12,0,2689},{12,0,2689},{8,31,58},{8,31,58},{8,31,58},{7,21,8},{0,24,49},{0,24,49},{17,31,12042},{15,31,6882},{15,31,4946},{13,31,2690},{16,31,13127},{11,31,3615},{9,31,229},{7,27,2174},{3,31,9313},{0,27,1458},{21,31,4150},{19,31,1634},{19,31,545},{17,30,89},{31,11,6661},{14,31,2654},{11,31,61},{0,28,1397},{31,21,6661},
{0,28,1397},{15,31,4946},{15,31,4946},{15,31,4946},{13,31,2690},{12,31,4170},{9,31,229},{9,31,229},{8,24,261},{0,31,2520},{0,25,10},{19,31,545},{19,31,545},{19,31,545},{17,29,0},{29,5,2178},{11,31,61},{11,31,61},{1,25,0},{31,16,2178},{1,25,0},{31,22,1201},{24,31,482},{22,31,1},{13,31,1},{31,22,1201},{30,27,1201},{13,31,1},{0,28,1201},{30,27,1201},{0,28,1201},{13,0,2689},
{13,0,2689},{13,0,2689},{13,0,2689},{9,31,85},{9,31,85},{9,31,85},{8,22,5},{0,25,10},{0,25,10},{18,31,11474},{16,31,6867},{15,31,5138},{14,31,2725},{16,31,12279},{12,31,3410},{10,31,419},{8,27,1718},{4,31,8678},{0,28,905},{23,31,3626},{20,31,1550},{20,31,650},{18,31,25},{29,17,5829},{15,31,2306},{12,31,130},{0,28,901},{27,24,5829},{0,28,901},{15,31,5138},{15,31,5138},{15,31,5138},
{14,31,2725},{13,31,4452},{10,31,419},{10,31,419},{9,25,261},{0,31,2520},{1,26,10},{20,31,650},{20,31,650},{20,31,650},{18,30,0},{31,4,2178},{12,31,130},{12,31,130},{2,26,0},{30,18,2178},{2,26,0},{31,23,845},{25,31,353},{23,31,9},{16,31,0},{31,23,845},{31,27,845},{16,31,0},{0,28,865},{31,27,845},{0,28,865},{14,0,2689},{14,0,2689},{14,0,2689},{14,0,2689},{10,31,130},
{10,31,130},{10,31,130},{9,23,5},{0,27,1},{0,27,1},{19,31,10774},{17,31,6962},{16,31,5378},{15,31,2810},{17,31,11598},{12,31,3346},{12,31,642},{9,28,1222},{6,31,8113},{0,29,570},{23,31,3146},{22,31,1539},{21,31,773},{19,31,0},{31,15,5082},{16,31,2034},{14,31,221},{0,29,554},{31,23,5082},{0,29,554},{16,31,5378},{16,31,5378},{16,31,5378},{15,31,2810},{15,31,4746},{12,31,642},{12,31,642},
{10,26,261},{2,31,2714},{2,27,10},{21,31,773},{21,31,773},{21,31,773},{19,31,0},{31,7,2178},{14,31,221},{14,31,221},{3,27,0},{31,19,2178},{3,27,0},{31,25,545},{26,31,221},{25,31,0},{19,31,0},{31,25,545},{31,28,545},{19,31,0},{0,29,545},{31,28,545},{0,29,545},{15,0,2689},{15,0,2689},{15,0,2689},{15,0,2689},{11,31,170},{11,31,170},{11,31,170},{10,23,10},{1,28,1},
{1,28,1},{20,31,10225},{18,31,7025},{18,31,5729},{16,31,2978},{19,31,10792},{14,31,3283},{13,31,982},{10,29,861},{8,31,7588},{2,29,325},{24,31,2729},{23,31,1460},{22,31,932},{20,31,36},{29,21,4344},{19,31,1746},{16,31,353},{2,29,321},{31,24,4344},{2,29,321},{18,31,5729},{18,31,5729},{18,31,5729},{16,31,2978},{16,31,5028},{13,31,982},{13,31,982},{11,27,254},{4,31,2981},{3,28,10},{22,31,932},
{22,31,932},{22,31,932},{20,31,36},{28,16,2178},{16,31,353},{16,31,353},{4,28,0},{24,24,2178},{4,28,0},{31,27,290},{27,31,125},{27,31,4},{22,31,1},{31,27,290},{31,29,290},{22,31,1},{0,29,320},{31,29,290},{0,29,320},{16,0,2689},{16,0,2689},{16,0,2689},{16,0,2689},{12,31,245},{12,31,245},{12,31,245},{11,25,8},{2,29,5},{2,29,5},{20,31,9825},{19,31,7014},{19,31,5925},
{17,31,3218},{20,31,10245},{15,31,3285},{14,31,1330},{11,29,612},{10,31,7225},{3,30,133},{25,31,2467},{24,31,1470},{23,31,1040},{21,31,144},{31,19,3779},{20,31,1580},{18,31,500},{3,30,129},{31,25,3779},{3,30,129},{19,31,5925},{19,31,5925},{19,31,5925},{17,31,3218},{17,31,5346},{14,31,1330},{14,31,1330},{12,28,261},{6,31,3267},{4,29,10},{23,31,1040},{23,31,1040},{23,31,1040},{21,31,144},{29,17,2178},
{18,31,500},{18,31,500},{5,29,0},{27,24,2178},{5,29,0},{31,28,128},{29,31,61},{28,31,0},{25,31,1},{31,28,128},{30,30,128},{25,31,1},{0,30,128},{30,30,128},{0,30,128},{17,0,2689},{17,0,2689},{17,0,2689},{17,0,2689},{13,31,338},{13,31,338},{13,31,338},{12,26,5},{3,30,5},{3,30,5},{21,31,9523},{20,31,7109},{20,31,6209},{18,31,3473},{20,31,9749},{16,31,3410},{15,31,1717},
{12,30,401},{11,31,6964},{4,31,65},{26,31,2273},{25,31,1539},{24,31,1189},{23,31,260},{29,25,3299},{22,31,1490},{20,31,680},{6,30,64},{27,28,3299},{6,30,64},{20,31,6209},{20,31,6209},{20,31,6209},{18,31,3473},{18,31,5700},{15,31,1717},{15,31,1717},{13,29,261},{8,31,3587},{5,30,10},{24,31,1189},{24,31,1189},{24,31,1189},{23,31,260},{31,16,2178},{20,31,680},{20,31,680},{6,30,0},{30,24,2178},
{6,30,0},{31,30,34},{30,31,13},{30,31,4},{28,31,0},{31,30,34},{30,31,34},{28,31,0},{0,30,64},{30,31,34},{0,30,64},{18,0,2689},{18,0,2689},{18,0,2689},{18,0,2689},{15,31,421},{15,31,421},{15,31,421},{13,27,5},{4,31,1},{4,31,1},{23,31,9201},{21,31,7314},{21,31,6530},{19,31,3778},{21,31,9420},{18,31,3652},{16,31,2193},{14,30,325},{14,31,6804},{6,31,10},{27,31,2057},
{26,31,1605},{25,31,1378},{24,31,442},{31,23,2904},{23,31,1452},{22,31,881},{7,31,0},{31,27,2904},{7,31,0},{21,31,6530},{21,31,6530},{21,31,6530},{19,31,3778},{19,31,5956},{16,31,2193},{16,31,2193},{14,30,261},{10,31,3957},{6,31,10},{25,31,1378},{25,31,1378},{25,31,1378},{24,31,442},{31,19,2178},{22,31,881},{22,31,881},{7,31,0},{31,25,2178},{7,31,0},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{19,0,2689},{19,0,2689},{19,0,2689},{19,0,2689},{16,31,512},{16,31,512},{16,31,512},{14,27,10},{6,31,10},{6,31,10},{23,31,8049},{22,31,6550},{22,31,5925},{20,31,3589},{23,31,8137},{19,31,3220},{18,31,2050},{15,31,173},{15,31,5805},{8,31,52},{27,31,1544},{27,31,1181},{26,31,1040},{25,31,353},{31,24,2166},
{24,31,1083},{23,31,653},{10,31,1},{30,28,2166},{10,31,1},{22,31,5925},{22,31,5925},{22,31,5925},{20,31,3589},{20,31,5209},{18,31,2050},{18,31,2050},{15,30,117},{12,31,3405},{8,31,52},{26,31,1040},{26,31,1040},{26,31,1040},{25,31,353},{31,21,1625},{23,31,653},{23,31,653},{10,31,1},{31,26,1625},{10,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{20,0,2689},{20,0,2689},{20,0,2689},{20,0,2689},{17,31,625},{17,31,625},{17,31,625},{15,29,8},{8,31,52},{8,31,52},{24,31,7177},{23,31,5845},{23,31,5361},{21,31,3473},{23,31,7033},{20,31,2945},{19,31,1907},{16,31,65},{16,31,5026},{10,31,117},{28,31,1137},{27,31,861},{27,31,740},{26,31,260},{29,29,1601},{26,31,833},{24,31,482},{13,31,1},{31,28,1601},
{13,31,1},{23,31,5361},{23,31,5361},{23,31,5361},{21,31,3473},{21,31,4661},{19,31,1907},{19,31,1907},{16,31,65},{14,31,2997},{10,31,117},{27,31,740},{27,31,740},{27,31,740},{26,31,260},{31,22,1201},{24,31,482},{24,31,482},{13,31,1},{30,27,1201},{13,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{21,0,2689},
{21,0,2689},{21,0,2689},{21,0,2689},{18,31,754},{18,31,754},{18,31,754},{16,30,5},{10,31,117},{10,31,117},{24,31,6393},{24,31,5310},{23,31,4865},{22,31,3314},{24,31,6146},{20,31,2737},{20,31,1837},{17,31,5},{18,31,4381},{11,31,212},{28,31,801},{28,31,609},{28,31,545},{27,31,185},{31,26,1121},{26,31,561},{25,31,353},{16,31,0},{30,29,1121},{16,31,0},{23,31,4865},{23,31,4865},{23,31,4865},
{22,31,3314},{22,31,4181},{20,31,1837},{20,31,1837},{17,31,5},{15,31,2621},{11,31,212},{28,31,545},{28,31,545},{28,31,545},{27,31,185},{31,23,845},{25,31,353},{25,31,353},{16,31,0},{31,27,845},{16,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{22,0,2689},{22,0,2689},{22,0,2689},{22,0,2689},{19,31,850},
{19,31,850},{19,31,850},{17,31,5},{11,31,212},{11,31,212},{25,31,5683},{24,31,4782},{24,31,4421},{23,31,3173},{24,31,5314},{22,31,2563},{21,31,1844},{18,31,10},{18,31,3757},{13,31,338},{29,31,531},{28,31,401},{28,31,337},{27,31,121},{31,27,726},{27,31,363},{26,31,221},{19,31,0},{31,29,726},{19,31,0},{24,31,4421},{24,31,4421},{24,31,4421},{23,31,3173},{23,31,3657},{21,31,1844},{21,31,1844},
{18,31,10},{16,31,2321},{13,31,338},{28,31,337},{28,31,337},{28,31,337},{27,31,121},{31,25,545},{26,31,221},{26,31,221},{19,31,0},{31,28,545},{19,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,2689},{23,0,2689},{23,0,2689},{23,0,2689},{20,31,985},{20,31,985},{20,31,985},{18,31,10},{13,31,338},
{13,31,338},{2,31,10560},{0,30,1586},{0,22,173},{0,18,3826},{0,28,18065},{0,19,12194},{0,17,6081},{0,11,14098},{0,13,19386},{0,11,14998},{3,31,10216},{0,30,1586},{0,22,173},{0,18,3826},{12,4,18065},{0,19,12194},{0,17,6081},{0,11,14098},{28,0,18065},{0,11,14098},{0,17,1},{0,17,1},{0,17,1},{0,9,4},{0,9,1105},{0,7,442},{0,7,442},{0,4,680},{0,4,1230},{0,4,801},{0,17,1},
{0,17,1},{0,17,1},{0,9,4},{4,1,1105},{0,7,442},{0,7,442},{0,4,680},{9,0,1105},{0,4,680},{21,0,9248},{0,30,1586},{0,22,173},{0,18,3826},{21,0,9248},{30,6,9248},{0,18,3826},{0,14,9248},{30,6,9248},{0,14,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,31,11328},{0,31,1341},{0,23,68},
{0,19,3626},{0,30,19334},{0,20,12611},{0,18,6099},{0,12,14756},{0,14,20886},{0,12,15845},{3,31,10792},{0,31,1341},{0,23,68},{0,19,3626},{15,0,19334},{0,20,12611},{0,18,6099},{0,12,14756},{30,0,19334},{0,12,14756},{0,20,0},{0,20,0},{0,20,0},{0,10,1},{0,10,1513},{0,8,605},{0,8,605},{0,5,925},{0,5,1682},{0,4,1089},{0,20,0},{0,20,0},{0,20,0},{0,10,1},{5,0,1513},
{0,8,605},{0,8,605},{0,5,925},{10,0,1513},{0,5,925},{22,1,9248},{0,31,1341},{0,23,68},{0,19,3626},{22,1,9248},{31,7,9248},{0,19,3626},{0,15,9248},{31,7,9248},{0,15,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,31,12200},{0,31,1325},{0,24,10},{0,20,3365},{0,31,20705},{0,21,13009},{0,18,6227},
{0,13,15441},{0,15,22455},{0,13,16666},{4,31,11489},{0,31,1325},{0,24,10},{0,20,3365},{15,2,20689},{0,21,13009},{0,18,6227},{0,13,15441},{30,1,20689},{0,13,15441},{0,23,0},{0,23,0},{0,23,0},{0,11,9},{0,11,1989},{0,9,772},{0,9,772},{0,5,1213},{0,5,2194},{0,5,1382},{0,23,0},{0,23,0},{0,23,0},{0,11,9},{6,0,1985},{0,9,772},{0,9,772},{0,5,1213},{10,1,1985},
{0,5,1213},{23,2,9248},{0,31,1325},{0,24,10},{0,20,3365},{23,2,9248},{30,9,9248},{0,20,3365},{0,16,9250},{30,9,9248},{0,16,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,31,13288},{0,31,1565},{0,25,10},{0,22,3077},{1,31,22214},{0,23,13555},{0,20,6310},{0,14,16176},{0,16,24130},{0,13,17562},{4,31,12385},
{0,31,1565},{0,25,10},{0,22,3077},{17,0,22129},{0,23,13555},{0,20,6310},{0,14,16176},{30,2,22129},{0,14,16176},{0,26,0},{0,26,0},{0,26,0},{0,13,0},{0,13,2521},{0,10,1018},{0,10,1018},{0,6,1508},{0,6,2801},{0,6,1764},{0,26,0},{0,26,0},{0,26,0},{0,13,0},{6,1,2521},{0,10,1018},{0,10,1018},{0,6,1508},{13,0,2521},{0,6,1508},{23,5,9248},{0,31,1565},{0,25,10},
{0,22,3077},{23,5,9248},{31,10,9248},{0,22,3077},{0,17,9250},{31,10,9248},{0,17,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,31,14788},{0,31,2141},{0,27,72},{0,22,2825},{1,31,24140},{0,25,14114},{0,21,6323},{0,14,17202},{0,17,26063},{0,14,18646},{5,31,13521},{1,31,2100},{0,27,72},{0,22,2825},{16,4,23851},
{0,25,14114},{0,21,6323},{0,14,17202},{28,4,23851},{0,14,17202},{0,29,1},{0,29,1},{0,29,1},{0,15,4},{0,15,3202},{0,12,1285},{0,12,1285},{0,7,1973},{0,7,3569},{0,6,2241},{0,29,1},{0,29,1},{0,29,1},{0,15,4},{7,1,3200},{0,12,1285},{0,12,1285},{0,7,1973},{11,2,3200},{0,7,1973},{27,0,9248},{3,31,1885},{2,26,8},{0,22,2825},{27,0,9248},{30,12,9248},{0,22,2825},
{0,18,9248},{30,12,9248},{0,18,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,31,16228},{1,31,2836},{0,28,170},{0,24,2612},{2,31,25971},{0,25,14594},{0,22,6473},{0,16,18144},{0,17,27951},{0,14,19830},{7,31,14675},{2,31,2706},{1,27,149},{0,24,2612},{19,0,25472},{0,25,14594},{0,22,6473},{0,16,18144},{30,4,25472},
{0,16,18144},{0,31,9},{0,31,9},{0,31,9},{0,16,0},{0,16,3872},{0,13,1514},{0,13,1514},{0,7,2405},{0,7,4305},{0,7,2766},{0,31,9},{0,31,9},{0,31,9},{0,16,0},{8,0,3872},{0,13,1514},{0,13,1514},{0,7,2405},{16,0,3872},{0,7,2405},{28,1,9248},{4,31,2210},{3,27,8},{0,24,2612},{28,1,9248},{31,13,9248},{0,24,2612},{0,19,9248},{31,13,9248},{0,19,9248},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,31,17796},{2,31,3702},{1,29,270},{0,25,2361},{3,31,27563},{0,27,14944},{0,23,6470},{0,17,18681},{0,19,29556},{0,16,20628},{7,31,15635},{3,31,3425},{1,29,206},{0,25,2361},{20,0,26744},{0,27,14944},{0,23,6470},{0,17,18681},{24,8,26744},{0,17,18681},{0,31,125},{0,31,125},{0,31,125},
{0,18,8},{0,18,4418},{0,14,1696},{0,14,1696},{0,8,2664},{0,8,4952},{0,8,3148},{1,31,72},{1,31,72},{1,31,72},{0,18,8},{9,0,4418},{0,14,1696},{0,14,1696},{0,8,2664},{18,0,4418},{0,8,2664},{30,0,9248},{6,31,2557},{3,28,10},{0,25,2357},{30,0,9248},{30,15,9248},{0,25,2357},{0,20,9250},{30,15,9248},{0,20,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,0},
{0,1,0},{0,1,0},{0,0,4},{0,0,4},{0,0,4},{5,31,19090},{2,31,4598},{1,30,406},{0,26,2220},{3,31,28187},{0,29,14347},{0,25,5609},{0,18,18144},{0,20,29961},{0,17,20301},{8,31,16082},{4,31,4019},{2,30,206},{0,26,2220},{21,1,26744},{0,29,14347},{0,25,5609},{0,18,18144},{27,8,26744},{0,18,18144},{1,31,264},{1,31,264},{1,31,264},{1,19,72},{0,21,4418},{0,16,1412},{0,16,1412},
{0,10,2420},{0,9,5122},{0,9,2997},{2,31,117},{2,31,117},{2,31,117},{1,19,8},{10,1,4418},{0,16,1412},{0,16,1412},{0,10,2420},{21,0,4418},{0,10,2420},{31,1,9248},{8,31,2929},{4,29,10},{0,26,2120},{31,1,9248},{27,18,9248},{0,26,2120},{0,21,9250},{27,18,9248},{0,21,9250},{1,0,68},{1,0,68},{1,0,68},{1,0,68},{0,4,1},{0,4,1},{0,4,1},{0,2,0},{0,2,25},
{0,2,25},{7,31,20669},{3,31,5786},{2,31,625},{1,27,2283},{4,31,29033},{0,30,13795},{0,26,4770},{0,18,17667},{0,21,30425},{0,18,20068},{9,31,16691},{5,31,4841},{3,31,205},{1,27,2219},{23,0,26747},{0,30,13795},{0,26,4770},{0,18,17667},{30,8,26747},{0,18,17667},{2,31,589},{2,31,589},{2,31,589},{1,20,186},{0,24,4418},{0,18,1125},{0,18,1125},{0,10,2186},{0,11,5390},{0,10,2915},{3,31,169},
{3,31,169},{3,31,169},{2,20,13},{12,0,4418},{0,18,1125},{0,18,1125},{0,10,2186},{24,0,4418},{0,10,2186},{31,4,9248},{10,31,3380},{6,30,8},{0,27,1954},{31,4,9248},{30,18,9248},{0,27,1954},{0,22,9248},{30,18,9248},{0,22,9248},{1,0,185},{1,0,185},{1,0,185},{1,0,185},{0,7,0},{0,7,0},{0,7,0},{0,3,9},{0,3,73},{0,3,73},{7,31,21577},{4,31,6797},{3,31,985},
{1,28,2226},{5,31,29436},{0,31,12990},{0,27,4027},{0,20,16925},{0,23,30436},{0,18,19620},{11,31,16645},{7,31,5260},{4,31,232},{2,28,2141},{24,1,26259},{0,31,12990},{0,27,4027},{0,20,16925},{31,9,26259},{0,20,16925},{3,31,985},{3,31,985},{3,31,985},{2,21,378},{0,27,4418},{0,20,905},{0,20,905},{0,12,2005},{0,12,5635},{0,11,2950},{4,31,232},{4,31,232},{4,31,232},{3,21,13},{13,1,4418},
{0,20,905},{0,20,905},{0,12,2005},{27,0,4418},{0,12,2005},{31,7,8980},{11,31,3601},{7,31,4},{0,28,1665},{31,7,8980},{31,19,8980},{0,28,1665},{0,23,8980},{31,19,8980},{0,23,8980},{2,0,377},{2,0,377},{2,0,377},{2,0,377},{0,10,0},{0,10,0},{0,10,0},{0,5,0},{0,4,146},{0,4,146},{7,31,21193},{4,31,7053},{3,31,1481},{2,28,2093},{6,31,28313},{0,31,11406},{0,28,2965},
{0,20,15021},{0,23,28900},{0,19,17995},{11,31,15381},{7,31,4876},{5,31,325},{3,28,1786},{25,1,24371},{0,31,11406},{0,28,2965},{0,20,15021},{27,12,24371},{0,20,15021},{3,31,1481},{3,31,1481},{3,31,1481},{2,23,621},{0,30,4418},{0,21,680},{0,21,680},{0,13,1780},{0,13,5885},{0,12,2950},{5,31,325},{5,31,325},{5,31,325},{4,22,8},{15,0,4418},{0,21,680},{0,21,680},{0,13,1780},{30,0,4418},
{0,13,1780},{31,8,7938},{12,31,3188},{8,31,0},{0,29,1156},{31,8,7938},{30,20,7938},{0,29,1156},{0,23,7956},{30,20,7938},{0,23,7956},{2,0,617},{2,0,617},{2,0,617},{2,0,617},{0,13,0},{0,13,0},{0,13,0},{0,6,9},{0,5,233},{0,5,233},{8,31,20825},{5,31,7494},{4,31,2089},{2,29,1970},{7,31,27269},{0,31,10078},{0,28,2021},{0,21,13204},{0,25,27384},{0,20,16398},{12,31,14148},
{8,31,4562},{7,31,392},{4,29,1445},{26,1,22568},{0,31,10078},{0,28,2021},{0,21,13204},{31,11,22568},{0,21,13204},{4,31,2089},{4,31,2089},{4,31,2089},{3,23,946},{0,31,4468},{0,23,521},{0,23,521},{0,14,1573},{0,15,6227},{0,13,2909},{7,31,392},{7,31,392},{7,31,392},{5,23,8},{16,1,4418},{0,23,521},{0,23,521},{0,14,1573},{31,1,4418},{0,14,1573},{31,10,6964},{14,31,2785},{10,31,4},
{0,29,740},{31,10,6964},{31,20,6964},{0,29,740},{0,24,6970},{31,20,6964},{0,24,6970},{3,0,937},{3,0,937},{3,0,937},{3,0,937},{0,16,1},{0,16,1},{0,16,1},{0,8,1},{0,6,377},{0,6,377},{8,31,20717},{6,31,8012},{5,31,2958},{3,29,2057},{7,31,26243},{0,31,8890},{0,29,1154},{0,22,11325},{0,25,25854},{0,21,14671},{13,31,12926},{10,31,4313},{8,31,485},{5,29,1106},{25,5,20642},
{0,31,8890},{0,29,1154},{0,22,11325},{31,12,20642},{0,22,11325},{5,31,2958},{5,31,2958},{5,31,2958},{3,25,1361},{1,31,4644},{0,25,337},{0,25,337},{0,15,1429},{0,16,6596},{0,14,2981},{8,31,485},{8,31,485},{8,31,485},{6,24,13},{16,4,4418},{0,25,337},{0,25,337},{0,15,1429},{28,4,4418},{0,15,1429},{31,11,5941},{15,31,2377},{11,31,1},{0,30,388},{31,11,5941},{31,21,5941},{0,30,388},
{0,24,5953},{31,21,5941},{0,24,5953},{3,0,1360},{3,0,1360},{3,0,1360},{3,0,1360},{0,19,0},{0,19,0},{0,19,0},{0,10,4},{0,8,548},{0,8,548},{9,31,20713},{7,31,8575},{5,31,3806},{3,30,2260},{7,31,25603},{0,31,8106},{0,29,642},{0,22,9805},{0,26,24678},{0,21,13359},{15,31,11882},{11,31,4006},{9,31,596},{6,29,818},{28,1,19021},{2,31,8066},{0,29,642},{0,22,9805},{31,13,19021},
{0,22,9805},{5,31,3806},{5,31,3806},{5,31,3806},{4,26,1819},{2,31,4962},{0,27,232},{0,27,232},{0,16,1268},{0,17,6926},{0,15,3126},{9,31,596},{9,31,596},{9,31,596},{7,25,13},{17,5,4418},{0,27,232},{0,27,232},{0,16,1268},{31,4,4418},{0,16,1268},{31,13,5101},{16,31,2042},{13,31,4},{0,30,164},{31,13,5101},{31,22,5101},{0,30,164},{0,25,5105},{31,22,5101},{0,25,5105},{4,0,1818},
{4,0,1818},{4,0,1818},{4,0,1818},{0,22,0},{0,22,0},{0,22,0},{0,11,0},{0,9,697},{0,9,697},{10,31,20905},{7,31,9247},{6,31,4787},{4,30,2547},{8,31,25042},{1,31,7537},{0,30,264},{0,23,8449},{0,27,23521},{0,22,12141},{15,31,10794},{12,31,3786},{10,31,725},{8,29,621},{29,1,17485},{3,31,7274},{0,30,264},{0,23,8449},{27,16,17485},{0,23,8449},{6,31,4787},{6,31,4787},{6,31,4787},
{4,27,2323},{3,31,5386},{0,29,130},{0,29,130},{0,18,1096},{0,19,7364},{0,17,3225},{10,31,725},{10,31,725},{10,31,725},{8,26,8},{21,0,4418},{0,29,130},{0,29,130},{0,18,1096},{30,6,4418},{0,18,1096},{31,14,4325},{18,31,1737},{14,31,1},{0,31,64},{31,14,4325},{30,23,4325},{0,31,64},{0,25,4337},{30,23,4325},{0,25,4337},{4,0,2314},{4,0,2314},{4,0,2314},{4,0,2314},{0,25,0},
{0,25,0},{0,25,0},{0,12,4},{0,10,925},{0,10,925},{11,31,21021},{8,31,10106},{7,31,5819},{4,30,3027},{8,31,24722},{2,31,7042},{0,31,81},{0,24,7169},{0,29,22467},{0,22,11133},{16,31,9869},{12,31,3594},{11,31,821},{8,30,420},{30,1,16034},{4,31,6558},{0,31,81},{0,24,7169},{31,15,16034},{0,24,7169},{7,31,5819},{7,31,5819},{7,31,5819},{5,28,2915},{3,31,5962},{0,30,72},{0,30,72},
{0,18,968},{0,20,7781},{0,17,3305},{11,31,821},{11,31,821},{11,31,821},{9,27,8},{22,1,4418},{0,30,72},{0,30,72},{0,18,968},{31,7,4418},{0,18,968},{31,15,3617},{19,31,1450},{15,31,9},{0,31,0},{31,15,3617},{31,23,3617},{0,31,0},{0,26,3617},{31,23,3617},{0,26,3617},{5,0,2906},{5,0,2906},{5,0,2906},{5,0,2906},{0,28,1},{0,28,1},{0,28,1},{0,14,0},{0,11,1156},
{0,11,1156},{11,31,21381},{8,31,11186},{7,31,7169},{5,31,3633},{9,31,24543},{3,31,6762},{0,31,81},{0,24,5819},{0,29,21333},{0,23,10106},{17,31,8955},{14,31,3433},{12,31,980},{10,30,242},{29,5,14504},{6,31,5834},{1,31,74},{0,24,5819},{31,16,14504},{0,24,5819},{7,31,7169},{7,31,7169},{7,31,7169},{5,30,3618},{4,31,6757},{0,31,81},{0,31,81},{0,20,821},{0,21,8245},{0,18,3531},{12,31,980},
{12,31,980},{12,31,980},{10,28,13},{24,0,4418},{1,31,74},{1,31,74},{0,20,821},{24,12,4418},{0,20,821},{29,21,2888},{20,31,1156},{17,31,1},{3,31,1},{29,21,2888},{31,24,2888},{3,31,1},{0,26,2906},{31,24,2888},{0,26,2906},{5,0,3617},{5,0,3617},{5,0,3617},{5,0,3617},{0,31,0},{0,31,0},{0,31,0},{0,15,9},{0,13,1421},{0,13,1421},{12,31,21949},{9,31,12367},{8,31,8449},
{6,31,4338},{10,31,24600},{3,31,6650},{1,31,298},{0,25,4698},{0,30,20575},{0,24,9247},{17,31,8219},{15,31,3236},{13,31,1157},{11,30,122},{31,3,13235},{7,31,5260},{3,31,145},{0,25,4698},{31,17,13235},{0,25,4698},{8,31,8449},{8,31,8449},{8,31,8449},{6,31,4338},{5,31,7667},{1,31,298},{1,31,298},{0,21,680},{0,23,8779},{0,19,3786},{13,31,1157},{13,31,1157},{13,31,1157},{11,29,13},{25,1,4418},
{3,31,145},{3,31,145},{0,21,680},{27,12,4418},{0,21,680},{31,19,2314},{22,31,949},{19,31,4},{6,31,1},{31,19,2314},{31,25,2314},{6,31,1},{0,27,2314},{31,25,2314},{0,27,2314},{6,0,4337},{6,0,4337},{6,0,4337},{6,0,4337},{0,31,64},{0,31,64},{0,31,64},{0,17,0},{0,13,1709},{0,13,1709},{12,31,22557},{10,31,13585},{9,31,9926},{6,31,5186},{11,31,24636},{3,31,6794},{2,31,692},
{0,26,3723},{0,31,19836},{0,25,8442},{19,31,7417},{16,31,3126},{15,31,1268},{12,31,68},{29,9,12051},{8,31,4762},{4,31,232},{0,26,3723},{27,20,12051},{0,26,3723},{9,31,9926},{9,31,9926},{9,31,9926},{6,31,5186},{5,31,8691},{2,31,692},{2,31,692},{0,22,557},{0,25,9284},{0,21,3929},{15,31,1268},{15,31,1268},{15,31,1268},{12,30,8},{27,0,4418},{4,31,232},{4,31,232},{0,22,557},{30,12,4418},
{0,22,557},{31,20,1800},{22,31,725},{20,31,0},{9,31,1},{31,20,1800},{30,26,1800},{9,31,1},{0,27,1818},{30,26,1800},{0,27,1818},{6,0,5105},{6,0,5105},{6,0,5105},{6,0,5105},{1,31,185},{1,31,185},{1,31,185},{0,18,9},{0,15,2042},{0,15,2042},{12,31,23421},{11,31,14850},{9,31,11462},{7,31,6149},{11,31,24860},{4,31,7053},{2,31,1236},{0,26,2891},{0,31,19260},{0,25,7818},{19,31,6761},
{17,31,3107},{16,31,1429},{13,31,8},{31,7,10952},{10,31,4300},{6,31,353},{0,26,2891},{31,19,10952},{0,26,2891},{9,31,11462},{9,31,11462},{9,31,11462},{7,31,6149},{7,31,9845},{2,31,1236},{2,31,1236},{0,23,485},{0,25,9764},{0,21,4185},{16,31,1429},{16,31,1429},{16,31,1429},{13,31,8},{28,1,4418},{6,31,353},{6,31,353},{0,23,485},{31,13,4418},{0,23,485},{31,22,1354},{23,31,548},{22,31,4},
{12,31,0},{31,22,1354},{30,27,1354},{12,31,0},{0,28,1360},{30,27,1354},{0,28,1360},{7,0,5953},{7,0,5953},{7,0,5953},{7,0,5953},{1,31,425},{1,31,425},{1,31,425},{0,20,1},{0,17,2372},{0,17,2372},{13,31,24507},{11,31,16398},{10,31,13349},{8,31,7460},{11,31,25418},{4,31,7647},{3,31,2021},{0,27,2089},{0,31,18918},{0,26,7302},{20,31,6098},{18,31,3037},{17,31,1640},{14,31,25},{29,13,9818},
{12,31,3874},{8,31,521},{0,27,2089},{31,20,9818},{0,27,2089},{10,31,13349},{10,31,13349},{10,31,13349},{8,31,7460},{7,31,11195},{3,31,2021},{3,31,2021},{0,24,392},{0,27,10472},{0,23,4562},{17,31,1640},{17,31,1640},{17,31,1640},{14,31,25},{28,4,4418},{8,31,521},{8,31,521},{0,24,392},{28,16,4418},{0,24,392},{31,23,925},{24,31,386},{23,31,1},{15,31,1},{31,23,925},{31,27,925},{15,31,1},
{0,28,937},{31,27,925},{0,28,937},{7,0,6970},{7,0,6970},{7,0,6970},{7,0,6970},{2,31,785},{2,31,785},{2,31,785},{0,22,4},{0,17,2741},{0,17,2741},{14,31,25663},{12,31,17995},{11,31,15021},{8,31,8740},{12,31,26003},{6,31,8399},{3,31,2965},{0,28,1481},{0,31,18886},{0,26,7014},{21,31,5634},{19,31,2950},{18,31,1853},{16,31,72},{31,11,8901},{14,31,3578},{10,31,698},{0,28,1481},{31,21,8901},
{0,28,1481},{11,31,15021},{11,31,15021},{11,31,15021},{8,31,8740},{8,31,12646},{3,31,2965},{3,31,2965},{0,26,292},{0,29,11051},{0,24,4876},{18,31,1853},{18,31,1853},{18,31,1853},{16,31,72},{29,5,4418},{10,31,698},{10,31,698},{0,26,292},{31,16,4418},{0,26,292},{31,25,613},{26,31,245},{25,31,4},{18,31,1},{31,25,613},{27,30,613},{18,31,1},{0,29,617},{27,30,613},{0,29,617},{8,0,7956},
{8,0,7956},{8,0,7956},{8,0,7956},{3,31,1201},{3,31,1201},{3,31,1201},{0,23,0},{0,18,3185},{0,18,3185},{15,31,26715},{12,31,19659},{11,31,16925},{9,31,10232},{12,31,26835},{6,31,9215},{4,31,4027},{0,28,985},{0,31,19110},{0,27,6797},{22,31,5238},{20,31,2950},{19,31,2005},{17,31,180},{29,17,8069},{15,31,3314},{11,31,905},{0,28,985},{27,24,8069},{0,28,985},{11,31,16925},{11,31,16925},{11,31,16925},
{9,31,10232},{8,31,14182},{4,31,4027},{4,31,4027},{0,27,232},{0,29,11627},{0,25,5117},{19,31,2005},{19,31,2005},{19,31,2005},{17,31,180},{31,4,4418},{11,31,905},{11,31,905},{0,27,232},{30,18,4418},{0,27,232},{31,26,365},{27,31,146},{26,31,1},{21,31,1},{31,26,365},{30,29,365},{21,31,1},{0,29,377},{30,29,365},{0,29,377},{8,0,8980},{8,0,8980},{8,0,8980},{8,0,8980},{3,31,1665},
{3,31,1665},{3,31,1665},{0,24,4},{0,20,3601},{0,20,3601},{15,31,26555},{13,31,20326},{12,31,17723},{10,31,10897},{13,31,26598},{7,31,9527},{5,31,4934},{0,29,590},{0,31,18606},{0,28,5786},{23,31,4770},{21,31,3041},{20,31,2210},{18,31,325},{31,15,7322},{16,31,3126},{14,31,1145},{0,29,554},{31,23,7322},{0,29,554},{12,31,17723},{12,31,17723},{12,31,17723},{10,31,10897},{9,31,15092},{5,31,4934},{5,31,4934},
{0,28,205},{0,31,11381},{0,26,4709},{20,31,2210},{20,31,2210},{20,31,2210},{18,31,325},{31,7,4418},{14,31,1145},{14,31,1145},{0,28,169},{31,19,4418},{0,28,169},{31,27,185},{28,31,73},{27,31,9},{24,31,0},{31,27,185},{31,29,185},{24,31,0},{0,30,185},{31,29,185},{0,30,185},{9,0,9248},{9,0,9248},{9,0,9248},{9,0,9248},{4,31,1954},{4,31,1954},{4,31,1954},{1,25,8},{0,21,3330},
{0,21,3330},{16,31,25958},{15,31,20468},{13,31,18321},{11,31,11371},{15,31,25748},{8,31,9863},{7,31,5684},{1,30,373},{0,31,18111},{0,29,4452},{24,31,4437},{23,31,3084},{22,31,2500},{19,31,554},{29,21,6584},{18,31,2996},{15,31,1412},{0,30,237},{31,24,6584},{0,30,237},{13,31,18321},{13,31,18321},{13,31,18321},{11,31,11371},{11,31,15661},{7,31,5684},{7,31,5684},{1,29,206},{0,31,10886},{0,27,4019},{22,31,2500},
{22,31,2500},{22,31,2500},{19,31,554},{28,16,4418},{15,31,1412},{15,31,1412},{0,29,100},{24,24,4418},{0,29,100},{31,29,52},{30,31,25},{29,31,1},{27,31,1},{31,29,52},{31,30,52},{27,31,1},{0,30,68},{31,30,52},{0,30,68},{10,0,9250},{10,0,9250},{10,0,9250},{10,0,9250},{5,31,2197},{5,31,2197},{5,31,2197},{2,27,5},{0,23,2929},{0,23,2929},{17,31,25604},{15,31,20628},{15,31,18692},
{12,31,11876},{16,31,25201},{10,31,10381},{8,31,6470},{2,30,270},{2,31,17924},{0,29,3588},{25,31,4259},{23,31,3148},{23,31,2664},{20,31,820},{31,19,6019},{19,31,2950},{16,31,1717},{0,30,125},{31,25,6019},{0,30,125},{15,31,18692},{15,31,18692},{15,31,18692},{12,31,11876},{12,31,16244},{8,31,6470},{8,31,6470},{2,30,206},{0,31,10854},{0,29,3332},{23,31,2664},{23,31,2664},{23,31,2664},{20,31,820},{29,17,4418},
{16,31,1717},{16,31,1717},{0,30,61},{27,24,4418},{0,30,61},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{31,31,4},{30,31,1},{0,31,4},{31,31,4},{0,31,4},{11,0,9250},{11,0,9250},{11,0,9250},{11,0,9250},{6,31,2440},{6,31,2440},{6,31,2440},{3,27,10},{0,25,2509},{0,25,2509},{18,31,24418},{16,31,19831},{15,31,18144},{13,31,11876},{16,31,23685},{11,31,10015},{8,31,6638},
{3,31,170},{3,31,16879},{0,30,2738},{25,31,3699},{24,31,2766},{24,31,2405},{21,31,820},{31,20,5164},{20,31,2584},{18,31,1552},{0,31,9},{30,26,5164},{0,31,9},{15,31,18144},{15,31,18144},{15,31,18144},{13,31,11876},{12,31,15696},{8,31,6638},{8,31,6638},{4,30,132},{0,31,10150},{0,29,2624},{24,31,2405},{24,31,2405},{24,31,2405},{21,31,820},{31,15,3872},{18,31,1552},{18,31,1552},{0,31,9},{31,23,3872},
{0,31,9},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{12,0,9248},{12,0,9248},{12,0,9248},{12,0,9248},{7,31,2612},{7,31,2612},{7,31,2612},{4,28,8},{0,27,2210},{0,27,2210},{19,31,22762},{17,31,18876},{16,31,17222},{14,31,11585},{17,31,22068},{11,31,9551},{10,31,6509},{5,31,68},{4,31,15612},{0,30,2098},{26,31,3089},
{24,31,2334},{24,31,1973},{22,31,661},{29,25,4267},{22,31,2150},{19,31,1285},{2,31,0},{27,28,4267},{2,31,0},{16,31,17222},{16,31,17222},{16,31,17222},{14,31,11585},{13,31,14786},{10,31,6509},{10,31,6509},{5,31,68},{0,31,9366},{0,30,2034},{24,31,1973},{24,31,1973},{24,31,1973},{22,31,661},{31,16,3202},{19,31,1285},{19,31,1285},{2,31,0},{30,24,3202},{2,31,0},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{13,0,9248},{13,0,9248},{13,0,9248},{13,0,9248},{8,31,2845},{8,31,2845},{8,31,2845},{5,29,8},{0,29,1856},{0,29,1856},{19,31,21160},{18,31,17776},{17,31,16329},{15,31,11282},{17,31,20358},{12,31,9098},{11,31,6310},{6,31,5},{6,31,14287},{0,31,1565},{27,31,2412},{25,31,1862},{25,31,1573},{23,31,509},{28,28,3361},
{22,31,1691},{20,31,1021},{5,31,1},{28,28,3361},{5,31,1},{17,31,16329},{17,31,16329},{17,31,16329},{15,31,11282},{15,31,13658},{11,31,6310},{11,31,6310},{6,31,5},{2,31,8690},{0,31,1565},{25,31,1573},{25,31,1573},{25,31,1573},{23,31,509},{31,18,2521},{20,31,1021},{20,31,1021},{5,31,1},{30,25,2521},{5,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{14,0,9250},{14,0,9250},{14,0,9250},{14,0,9250},{9,31,3176},{9,31,3176},{9,31,3176},{6,31,5},{0,30,1556},{0,30,1556},{20,31,19810},{19,31,16741},{18,31,15584},{16,31,11057},{19,31,18721},{14,31,8860},{12,31,6234},{7,31,10},{7,31,13210},{0,31,1325},{27,31,1868},{26,31,1464},{26,31,1268},{24,31,397},{31,23,2649},{23,31,1329},{22,31,794},{8,31,0},{31,27,2649},
{8,31,0},{18,31,15584},{18,31,15584},{18,31,15584},{16,31,11057},{15,31,12858},{12,31,6234},{12,31,6234},{7,31,10},{3,31,8150},{0,31,1325},{26,31,1268},{26,31,1268},{26,31,1268},{24,31,397},{31,19,1989},{22,31,794},{22,31,794},{8,31,0},{31,25,1989},{8,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{15,0,9250},
{15,0,9250},{15,0,9250},{15,0,9250},{11,31,3365},{11,31,3365},{11,31,3365},{7,31,10},{0,31,1325},{0,31,1325},{20,31,18626},{19,31,15845},{19,31,14756},{17,31,10897},{19,31,17297},{15,31,8442},{13,31,6285},{8,31,68},{8,31,12227},{0,31,1341},{27,31,1452},{27,31,1089},{27,31,968},{25,31,325},{31,24,2018},{24,31,1011},{23,31,605},{11,31,0},{30,28,2018},{11,31,0},{19,31,14756},{19,31,14756},{19,31,14756},
{17,31,10897},{16,31,12077},{13,31,6285},{13,31,6285},{8,31,68},{4,31,7686},{0,31,1341},{27,31,968},{27,31,968},{27,31,968},{25,31,325},{31,21,1513},{23,31,605},{23,31,605},{11,31,0},{31,26,1513},{11,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{16,0,9248},{16,0,9248},{16,0,9248},{16,0,9248},{12,31,3626},
{12,31,3626},{12,31,3626},{8,31,68},{0,31,1341},{0,31,1341},{21,31,17476},{20,31,14998},{20,31,14098},{18,31,10672},{20,31,16018},{15,31,8154},{15,31,6218},{9,31,200},{10,31,11338},{0,31,1613},{28,31,1041},{27,31,801},{27,31,680},{26,31,232},{29,29,1473},{26,31,753},{24,31,442},{14,31,0},{31,28,1473},{14,31,0},{20,31,14098},{20,31,14098},{20,31,14098},{18,31,10672},{17,31,11453},{15,31,6218},{15,31,6218},
{9,31,200},{6,31,7270},{0,31,1613},{27,31,680},{27,31,680},{27,31,680},{26,31,232},{28,28,1105},{24,31,442},{24,31,442},{14,31,0},{28,28,1105},{14,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{17,0,9248},{17,0,9248},{17,0,9248},{17,0,9248},{13,31,3929},{13,31,3929},{13,31,3929},{9,31,200},{0,31,1613},
{0,31,1613},
/**** ended inlining basisu_transcoder_tables_dxt1_5.inc ****/
};
#endif // BASISD_SUPPORT_DXT1
#if BASISD_SUPPORT_DXT1 || BASISD_SUPPORT_UASTC
// First saw the idea for optimal BC1 single-color block encoding using lookup tables in ryg_dxt.
struct bc1_match_entry
{
uint8_t m_hi;
uint8_t m_lo;
};
static bc1_match_entry g_bc1_match5_equals_1[256], g_bc1_match6_equals_1[256]; // selector 1, allow equals hi/lo
static bc1_match_entry g_bc1_match5_equals_0[256], g_bc1_match6_equals_0[256]; // selector 0, allow equals hi/lo
static void prepare_bc1_single_color_table(bc1_match_entry* pTable, const uint8_t* pExpand, int size0, int size1, int sel)
{
for (int i = 0; i < 256; i++)
{
int lowest_e = 256;
for (int lo = 0; lo < size0; lo++)
{
for (int hi = 0; hi < size1; hi++)
{
const int lo_e = pExpand[lo], hi_e = pExpand[hi];
int e;
if (sel == 1)
{
// Selector 1
e = basisu::iabs(((hi_e * 2 + lo_e) / 3) - i);
e += (basisu::iabs(hi_e - lo_e) * 3) / 100;
}
else
{
assert(sel == 0);
// Selector 0
e = basisu::iabs(hi_e - i);
}
if (e < lowest_e)
{
pTable[i].m_hi = static_cast<uint8_t>(hi);
pTable[i].m_lo = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // hi
} // lo
}
}
#endif
#if BASISD_WRITE_NEW_DXT1_TABLES
static void create_etc1_to_dxt1_5_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_dxt1_5.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_DXT1_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_dxt1_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_dxt1_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 31; hi++)
{
for (uint32_t lo = 0; lo <= 31; lo++)
{
//if (lo == hi) continue;
uint32_t colors[4];
colors[0] = (lo << 3) | (lo >> 2);
colors[3] = (hi << 3) | (hi >> 2);
colors[1] = (colors[0] * 2 + colors[3]) / 3;
colors[2] = (colors[3] * 2 + colors[0]) / 3;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_dxt1_selector_mappings[m][s]];
total_err += err * err;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
assert(best_err <= 0xFFFF);
//table[g + inten * 32].m_solutions[sr][m].m_lo = static_cast<uint8_t>(best_lo);
//table[g + inten * 32].m_solutions[sr][m].m_hi = static_cast<uint8_t>(best_hi);
//table[g + inten * 32].m_solutions[sr][m].m_err = static_cast<uint16_t>(best_err);
//assert(best_lo != best_hi);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
static void create_etc1_to_dxt1_6_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_dxt1_6.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_DXT1_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_dxt1_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_dxt1_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 63; hi++)
{
for (uint32_t lo = 0; lo <= 63; lo++)
{
//if (lo == hi) continue;
uint32_t colors[4];
colors[0] = (lo << 2) | (lo >> 4);
colors[3] = (hi << 2) | (hi >> 4);
colors[1] = (colors[0] * 2 + colors[3]) / 3;
colors[2] = (colors[3] * 2 + colors[0]) / 3;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_dxt1_selector_mappings[m][s]];
total_err += err * err;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
assert(best_err <= 0xFFFF);
//table[g + inten * 32].m_solutions[sr][m].m_lo = static_cast<uint8_t>(best_lo);
//table[g + inten * 32].m_solutions[sr][m].m_hi = static_cast<uint8_t>(best_hi);
//table[g + inten * 32].m_solutions[sr][m].m_err = static_cast<uint16_t>(best_err);
//assert(best_lo != best_hi);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
#endif
#if BASISD_SUPPORT_UASTC || BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
static const int8_t g_eac_modifier_table[16][8] =
{
{ -3, -6, -9, -15, 2, 5, 8, 14 },
{ -3, -7, -10, -13, 2, 6, 9, 12 },
{ -2, -5, -8, -13, 1, 4, 7, 12 },
{ -2, -4, -6, -13, 1, 3, 5, 12 },
{ -3, -6, -8, -12, 2, 5, 7, 11 },
{ -3, -7, -9, -11, 2, 6, 8, 10 },
{ -4, -7, -8, -11, 3, 6, 7, 10 },
{ -3, -5, -8, -11, 2, 4, 7, 10 },
{ -2, -6, -8, -10, 1, 5, 7, 9 },
{ -2, -5, -8, -10, 1, 4, 7, 9 },
{ -2, -4, -8, -10, 1, 3, 7, 9 },
{ -2, -5, -7, -10, 1, 4, 6, 9 },
{ -3, -4, -7, -10, 2, 3, 6, 9 },
{ -1, -2, -3, -10, 0, 1, 2, 9 }, // entry 13
{ -4, -6, -8, -9, 3, 5, 7, 8 },
{ -3, -5, -7, -9, 2, 4, 6, 8 }
};
// Used by ETC2 EAC A8 and ETC2 EAC R11/RG11.
struct eac_block
{
uint16_t m_base : 8;
uint16_t m_table : 4;
uint16_t m_multiplier : 4;
uint8_t m_selectors[6];
uint32_t get_selector(uint32_t x, uint32_t y) const
{
assert((x < 4) && (y < 4));
const uint32_t ofs = 45 - (y + x * 4) * 3;
const uint64_t pixels = get_selector_bits();
return (pixels >> ofs) & 7;
}
void set_selector(uint32_t x, uint32_t y, uint32_t s)
{
assert((x < 4) && (y < 4) && (s < 8));
const uint32_t ofs = 45 - (y + x * 4) * 3;
uint64_t pixels = get_selector_bits();
pixels &= ~(7ULL << ofs);
pixels |= (static_cast<uint64_t>(s) << ofs);
set_selector_bits(pixels);
}
uint64_t get_selector_bits() const
{
uint64_t pixels = ((uint64_t)m_selectors[0] << 40) | ((uint64_t)m_selectors[1] << 32) |
((uint64_t)m_selectors[2] << 24) |
((uint64_t)m_selectors[3] << 16) | ((uint64_t)m_selectors[4] << 8) | m_selectors[5];
return pixels;
}
void set_selector_bits(uint64_t pixels)
{
m_selectors[0] = (uint8_t)(pixels >> 40);
m_selectors[1] = (uint8_t)(pixels >> 32);
m_selectors[2] = (uint8_t)(pixels >> 24);
m_selectors[3] = (uint8_t)(pixels >> 16);
m_selectors[4] = (uint8_t)(pixels >> 8);
m_selectors[5] = (uint8_t)(pixels);
}
};
#endif // #if BASISD_SUPPORT_UASTC BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
#if BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
static const dxt_selector_range s_etc2_eac_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
};
const uint32_t NUM_ETC2_EAC_SELECTOR_RANGES = sizeof(s_etc2_eac_selector_ranges) / sizeof(s_etc2_eac_selector_ranges[0]);
struct etc1_g_to_eac_conversion
{
uint8_t m_base;
uint8_t m_table_mul; // mul*16+table
uint16_t m_trans; // translates ETC1 selectors to ETC2_EAC_A8
};
#endif // BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
#if BASISD_SUPPORT_ETC2_EAC_A8
#if BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
struct pack_eac_a8_results
{
uint32_t m_base;
uint32_t m_table;
uint32_t m_multiplier;
basisu::vector<uint8_t> m_selectors;
basisu::vector<uint8_t> m_selectors_temp;
};
static uint64_t pack_eac_a8_exhaustive(pack_eac_a8_results& results, const uint8_t* pPixels, uint32_t num_pixels)
{
results.m_selectors.resize(num_pixels);
results.m_selectors_temp.resize(num_pixels);
uint64_t best_err = UINT64_MAX;
for (uint32_t base_color = 0; base_color < 256; base_color++)
{
for (uint32_t multiplier = 1; multiplier < 16; multiplier++)
{
for (uint32_t table = 0; table < 16; table++)
{
uint64_t total_err = 0;
for (uint32_t i = 0; i < num_pixels; i++)
{
const int a = pPixels[i];
uint32_t best_s_err = UINT32_MAX;
uint32_t best_s = 0;
for (uint32_t s = 0; s < 8; s++)
{
int v = (int)multiplier * g_eac_modifier_table[table][s] + (int)base_color;
if (v < 0)
v = 0;
else if (v > 255)
v = 255;
uint32_t err = abs(a - v);
if (err < best_s_err)
{
best_s_err = err;
best_s = s;
}
}
results.m_selectors_temp[i] = static_cast<uint8_t>(best_s);
total_err += best_s_err * best_s_err;
if (total_err >= best_err)
break;
}
if (total_err < best_err)
{
best_err = total_err;
results.m_base = base_color;
results.m_multiplier = multiplier;
results.m_table = table;
results.m_selectors.swap(results.m_selectors_temp);
}
} // table
} // multiplier
} // base_color
return best_err;
}
#endif // BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
static
#if !BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
const
#endif
etc1_g_to_eac_conversion s_etc1_g_to_etc2_a8[32 * 8][NUM_ETC2_EAC_SELECTOR_RANGES] =
{
{ { 0,1,3328 },{ 0,1,3328 },{ 0,1,256 },{ 0,1,256 } },
{ { 0,226,3936 },{ 0,226,3936 },{ 0,81,488 },{ 0,81,488 } },
{ { 6,178,4012 },{ 6,178,4008 },{ 0,146,501 },{ 0,130,496 } },
{ { 14,178,4012 },{ 14,178,4008 },{ 8,146,501 },{ 6,82,496 } },
{ { 23,178,4012 },{ 23,178,4008 },{ 17,146,501 },{ 3,228,496 } },
{ { 31,178,4012 },{ 31,178,4008 },{ 25,146,501 },{ 11,228,496 } },
{ { 39,178,4012 },{ 39,178,4008 },{ 33,146,501 },{ 19,228,496 } },
{ { 47,178,4012 },{ 47,178,4008 },{ 41,146,501 },{ 27,228,496 } },
{ { 56,178,4012 },{ 56,178,4008 },{ 50,146,501 },{ 36,228,496 } },
{ { 64,178,4012 },{ 64,178,4008 },{ 58,146,501 },{ 44,228,496 } },
{ { 72,178,4012 },{ 72,178,4008 },{ 66,146,501 },{ 52,228,496 } },
{ { 80,178,4012 },{ 80,178,4008 },{ 74,146,501 },{ 60,228,496 } },
{ { 89,178,4012 },{ 89,178,4008 },{ 83,146,501 },{ 69,228,496 } },
{ { 97,178,4012 },{ 97,178,4008 },{ 91,146,501 },{ 77,228,496 } },
{ { 105,178,4012 },{ 105,178,4008 },{ 99,146,501 },{ 85,228,496 } },
{ { 113,178,4012 },{ 113,178,4008 },{ 107,146,501 },{ 93,228,496 } },
{ { 122,178,4012 },{ 122,178,4008 },{ 116,146,501 },{ 102,228,496 } },
{ { 130,178,4012 },{ 130,178,4008 },{ 124,146,501 },{ 110,228,496 } },
{ { 138,178,4012 },{ 138,178,4008 },{ 132,146,501 },{ 118,228,496 } },
{ { 146,178,4012 },{ 146,178,4008 },{ 140,146,501 },{ 126,228,496 } },
{ { 155,178,4012 },{ 155,178,4008 },{ 149,146,501 },{ 135,228,496 } },
{ { 163,178,4012 },{ 163,178,4008 },{ 157,146,501 },{ 143,228,496 } },
{ { 171,178,4012 },{ 171,178,4008 },{ 165,146,501 },{ 151,228,496 } },
{ { 179,178,4012 },{ 179,178,4008 },{ 173,146,501 },{ 159,228,496 } },
{ { 188,178,4012 },{ 188,178,4008 },{ 182,146,501 },{ 168,228,496 } },
{ { 196,178,4012 },{ 196,178,4008 },{ 190,146,501 },{ 176,228,496 } },
{ { 204,178,4012 },{ 204,178,4008 },{ 198,146,501 },{ 184,228,496 } },
{ { 212,178,4012 },{ 212,178,4008 },{ 206,146,501 },{ 192,228,496 } },
{ { 221,178,4012 },{ 221,178,4008 },{ 215,146,501 },{ 201,228,496 } },
{ { 229,178,4012 },{ 229,178,4008 },{ 223,146,501 },{ 209,228,496 } },
{ { 235,66,4012 },{ 221,100,4008 },{ 231,146,501 },{ 217,228,496 } },
{ { 211,102,4085 },{ 118,31,4080 },{ 211,102,501 },{ 118,31,496 } },
{ { 1,2,3328 },{ 1,2,3328 },{ 0,1,320 },{ 0,1,320 } },
{ { 7,162,3905 },{ 7,162,3904 },{ 1,17,480 },{ 1,17,480 } },
{ { 15,162,3906 },{ 15,162,3904 },{ 1,117,352 },{ 1,117,352 } },
{ { 23,162,3906 },{ 23,162,3904 },{ 5,34,500 },{ 4,53,424 } },
{ { 32,162,3906 },{ 32,162,3904 },{ 14,34,500 },{ 3,69,424 } },
{ { 40,162,3906 },{ 40,162,3904 },{ 22,34,500 },{ 1,133,496 } },
{ { 48,162,3906 },{ 48,162,3904 },{ 30,34,500 },{ 4,85,496 } },
{ { 56,162,3906 },{ 56,162,3904 },{ 38,34,500 },{ 12,85,496 } },
{ { 65,162,3906 },{ 65,162,3904 },{ 47,34,500 },{ 1,106,424 } },
{ { 73,162,3906 },{ 73,162,3904 },{ 55,34,500 },{ 9,106,424 } },
{ { 81,162,3906 },{ 81,162,3904 },{ 63,34,500 },{ 7,234,496 } },
{ { 89,162,3906 },{ 89,162,3904 },{ 71,34,500 },{ 15,234,496 } },
{ { 98,162,3906 },{ 98,162,3904 },{ 80,34,500 },{ 24,234,496 } },
{ { 106,162,3906 },{ 106,162,3904 },{ 88,34,500 },{ 32,234,496 } },
{ { 114,162,3906 },{ 114,162,3904 },{ 96,34,500 },{ 40,234,496 } },
{ { 122,162,3906 },{ 122,162,3904 },{ 104,34,500 },{ 48,234,496 } },
{ { 131,162,3906 },{ 131,162,3904 },{ 113,34,500 },{ 57,234,496 } },
{ { 139,162,3906 },{ 139,162,3904 },{ 121,34,500 },{ 65,234,496 } },
{ { 147,162,3906 },{ 147,162,3904 },{ 129,34,500 },{ 73,234,496 } },
{ { 155,162,3906 },{ 155,162,3904 },{ 137,34,500 },{ 81,234,496 } },
{ { 164,162,3906 },{ 164,162,3904 },{ 146,34,500 },{ 90,234,496 } },
{ { 172,162,3906 },{ 172,162,3904 },{ 154,34,500 },{ 98,234,496 } },
{ { 180,162,3906 },{ 180,162,3904 },{ 162,34,500 },{ 106,234,496 } },
{ { 188,162,3906 },{ 188,162,3904 },{ 170,34,500 },{ 114,234,496 } },
{ { 197,162,3906 },{ 197,162,3904 },{ 179,34,500 },{ 123,234,496 } },
{ { 205,162,3906 },{ 205,162,3904 },{ 187,34,500 },{ 131,234,496 } },
{ { 213,162,3906 },{ 213,162,3904 },{ 195,34,500 },{ 139,234,496 } },
{ { 221,162,3906 },{ 221,162,3904 },{ 203,34,500 },{ 147,234,496 } },
{ { 230,162,3906 },{ 230,162,3904 },{ 212,34,500 },{ 156,234,496 } },
{ { 238,162,3906 },{ 174,106,4008 },{ 220,34,500 },{ 164,234,496 } },
{ { 240,178,4001 },{ 182,106,4008 },{ 228,34,500 },{ 172,234,496 } },
{ { 166,108,4085 },{ 115,31,4080 },{ 166,108,501 },{ 115,31,496 } },
{ { 1,68,3328 },{ 1,68,3328 },{ 0,17,384 },{ 0,17,384 } },
{ { 1,148,3904 },{ 1,148,3904 },{ 1,2,384 },{ 1,2,384 } },
{ { 21,18,3851 },{ 21,18,3848 },{ 1,50,488 },{ 1,50,488 } },
{ { 27,195,3851 },{ 29,18,3848 },{ 0,67,488 },{ 0,67,488 } },
{ { 34,195,3907 },{ 38,18,3848 },{ 20,66,482 },{ 0,3,496 } },
{ { 42,195,3907 },{ 46,18,3848 },{ 28,66,482 },{ 2,6,424 } },
{ { 50,195,3907 },{ 54,18,3848 },{ 36,66,482 },{ 4,22,424 } },
{ { 58,195,3907 },{ 62,18,3848 },{ 44,66,482 },{ 3,73,424 } },
{ { 67,195,3907 },{ 71,18,3848 },{ 53,66,482 },{ 3,22,496 } },
{ { 75,195,3907 },{ 79,18,3848 },{ 61,66,482 },{ 2,137,496 } },
{ { 83,195,3907 },{ 87,18,3848 },{ 69,66,482 },{ 1,89,496 } },
{ { 91,195,3907 },{ 95,18,3848 },{ 77,66,482 },{ 9,89,496 } },
{ { 100,195,3907 },{ 104,18,3848 },{ 86,66,482 },{ 18,89,496 } },
{ { 108,195,3907 },{ 112,18,3848 },{ 94,66,482 },{ 26,89,496 } },
{ { 116,195,3907 },{ 120,18,3848 },{ 102,66,482 },{ 34,89,496 } },
{ { 124,195,3907 },{ 128,18,3848 },{ 110,66,482 },{ 42,89,496 } },
{ { 133,195,3907 },{ 137,18,3848 },{ 119,66,482 },{ 51,89,496 } },
{ { 141,195,3907 },{ 145,18,3848 },{ 127,66,482 },{ 59,89,496 } },
{ { 149,195,3907 },{ 153,18,3848 },{ 135,66,482 },{ 67,89,496 } },
{ { 157,195,3907 },{ 161,18,3848 },{ 143,66,482 },{ 75,89,496 } },
{ { 166,195,3907 },{ 170,18,3848 },{ 152,66,482 },{ 84,89,496 } },
{ { 174,195,3907 },{ 178,18,3848 },{ 160,66,482 },{ 92,89,496 } },
{ { 182,195,3907 },{ 186,18,3848 },{ 168,66,482 },{ 100,89,496 } },
{ { 190,195,3907 },{ 194,18,3848 },{ 176,66,482 },{ 108,89,496 } },
{ { 199,195,3907 },{ 203,18,3848 },{ 185,66,482 },{ 117,89,496 } },
{ { 207,195,3907 },{ 211,18,3848 },{ 193,66,482 },{ 125,89,496 } },
{ { 215,195,3907 },{ 219,18,3848 },{ 201,66,482 },{ 133,89,496 } },
{ { 223,195,3907 },{ 227,18,3848 },{ 209,66,482 },{ 141,89,496 } },
{ { 231,195,3907 },{ 168,89,4008 },{ 218,66,482 },{ 150,89,496 } },
{ { 236,18,3907 },{ 176,89,4008 },{ 226,66,482 },{ 158,89,496 } },
{ { 158,90,4085 },{ 103,31,4080 },{ 158,90,501 },{ 103,31,496 } },
{ { 166,90,4085 },{ 111,31,4080 },{ 166,90,501 },{ 111,31,496 } },
{ { 0,70,3328 },{ 0,70,3328 },{ 0,45,256 },{ 0,45,256 } },
{ { 0,117,3904 },{ 0,117,3904 },{ 0,35,384 },{ 0,35,384 } },
{ { 13,165,3905 },{ 13,165,3904 },{ 3,221,416 },{ 3,221,416 } },
{ { 21,165,3906 },{ 21,165,3904 },{ 11,221,416 },{ 11,221,416 } },
{ { 30,165,3906 },{ 30,165,3904 },{ 7,61,352 },{ 7,61,352 } },
{ { 38,165,3906 },{ 38,165,3904 },{ 2,125,352 },{ 2,125,352 } },
{ { 46,165,3906 },{ 46,165,3904 },{ 2,37,500 },{ 10,125,352 } },
{ { 54,165,3906 },{ 54,165,3904 },{ 10,37,500 },{ 5,61,424 } },
{ { 63,165,3906 },{ 63,165,3904 },{ 19,37,500 },{ 1,189,424 } },
{ { 4,254,4012 },{ 71,165,3904 },{ 27,37,500 },{ 9,189,424 } },
{ { 12,254,4012 },{ 79,165,3904 },{ 35,37,500 },{ 4,77,424 } },
{ { 20,254,4012 },{ 87,165,3904 },{ 43,37,500 },{ 12,77,424 } },
{ { 29,254,4012 },{ 96,165,3904 },{ 52,37,500 },{ 8,93,424 } },
{ { 37,254,4012 },{ 104,165,3904 },{ 60,37,500 },{ 3,141,496 } },
{ { 45,254,4012 },{ 112,165,3904 },{ 68,37,500 },{ 11,141,496 } },
{ { 53,254,4012 },{ 120,165,3904 },{ 76,37,500 },{ 6,93,496 } },
{ { 62,254,4012 },{ 129,165,3904 },{ 85,37,500 },{ 15,93,496 } },
{ { 70,254,4012 },{ 137,165,3904 },{ 93,37,500 },{ 23,93,496 } },
{ { 78,254,4012 },{ 145,165,3904 },{ 101,37,500 },{ 31,93,496 } },
{ { 86,254,4012 },{ 153,165,3904 },{ 109,37,500 },{ 39,93,496 } },
{ { 95,254,4012 },{ 162,165,3904 },{ 118,37,500 },{ 48,93,496 } },
{ { 103,254,4012 },{ 170,165,3904 },{ 126,37,500 },{ 56,93,496 } },
{ { 111,254,4012 },{ 178,165,3904 },{ 134,37,500 },{ 64,93,496 } },
{ { 119,254,4012 },{ 186,165,3904 },{ 142,37,500 },{ 72,93,496 } },
{ { 128,254,4012 },{ 195,165,3904 },{ 151,37,500 },{ 81,93,496 } },
{ { 136,254,4012 },{ 203,165,3904 },{ 159,37,500 },{ 89,93,496 } },
{ { 212,165,3906 },{ 136,77,4008 },{ 167,37,500 },{ 97,93,496 } },
{ { 220,165,3394 },{ 131,93,4008 },{ 175,37,500 },{ 105,93,496 } },
{ { 214,181,4001 },{ 140,93,4008 },{ 184,37,500 },{ 114,93,496 } },
{ { 222,181,4001 },{ 148,93,4008 },{ 192,37,500 },{ 122,93,496 } },
{ { 114,95,4085 },{ 99,31,4080 },{ 114,95,501 },{ 99,31,496 } },
{ { 122,95,4085 },{ 107,31,4080 },{ 122,95,501 },{ 107,31,496 } },
{ { 0,102,3840 },{ 0,102,3840 },{ 0,18,384 },{ 0,18,384 } },
{ { 5,167,3904 },{ 5,167,3904 },{ 0,13,256 },{ 0,13,256 } },
{ { 4,54,3968 },{ 4,54,3968 },{ 1,67,448 },{ 1,67,448 } },
{ { 30,198,3850 },{ 30,198,3848 },{ 0,3,480 },{ 0,3,480 } },
{ { 39,198,3850 },{ 39,198,3848 },{ 3,52,488 },{ 3,52,488 } },
{ { 47,198,3851 },{ 47,198,3848 },{ 3,4,488 },{ 3,4,488 } },
{ { 55,198,3851 },{ 55,198,3848 },{ 1,70,488 },{ 1,70,488 } },
{ { 54,167,3906 },{ 63,198,3848 },{ 3,22,488 },{ 3,22,488 } },
{ { 62,167,3906 },{ 72,198,3848 },{ 24,118,488 },{ 0,6,496 } },
{ { 70,167,3906 },{ 80,198,3848 },{ 32,118,488 },{ 2,89,488 } },
{ { 78,167,3906 },{ 88,198,3848 },{ 40,118,488 },{ 1,73,496 } },
{ { 86,167,3906 },{ 96,198,3848 },{ 48,118,488 },{ 0,28,424 } },
{ { 95,167,3906 },{ 105,198,3848 },{ 57,118,488 },{ 9,28,424 } },
{ { 103,167,3906 },{ 113,198,3848 },{ 65,118,488 },{ 5,108,496 } },
{ { 111,167,3906 },{ 121,198,3848 },{ 73,118,488 },{ 13,108,496 } },
{ { 119,167,3906 },{ 129,198,3848 },{ 81,118,488 },{ 21,108,496 } },
{ { 128,167,3906 },{ 138,198,3848 },{ 90,118,488 },{ 6,28,496 } },
{ { 136,167,3906 },{ 146,198,3848 },{ 98,118,488 },{ 14,28,496 } },
{ { 144,167,3906 },{ 154,198,3848 },{ 106,118,488 },{ 22,28,496 } },
{ { 152,167,3906 },{ 162,198,3848 },{ 114,118,488 },{ 30,28,496 } },
{ { 161,167,3906 },{ 171,198,3848 },{ 123,118,488 },{ 39,28,496 } },
{ { 169,167,3906 },{ 179,198,3848 },{ 131,118,488 },{ 47,28,496 } },
{ { 177,167,3906 },{ 187,198,3848 },{ 139,118,488 },{ 55,28,496 } },
{ { 185,167,3906 },{ 195,198,3848 },{ 147,118,488 },{ 63,28,496 } },
{ { 194,167,3906 },{ 120,12,4008 },{ 156,118,488 },{ 72,28,496 } },
{ { 206,198,3907 },{ 116,28,4008 },{ 164,118,488 },{ 80,28,496 } },
{ { 214,198,3907 },{ 124,28,4008 },{ 172,118,488 },{ 88,28,496 } },
{ { 222,198,3395 },{ 132,28,4008 },{ 180,118,488 },{ 96,28,496 } },
{ { 207,134,4001 },{ 141,28,4008 },{ 189,118,488 },{ 105,28,496 } },
{ { 95,30,4085 },{ 86,31,4080 },{ 95,30,501 },{ 86,31,496 } },
{ { 103,30,4085 },{ 94,31,4080 },{ 103,30,501 },{ 94,31,496 } },
{ { 111,30,4085 },{ 102,31,4080 },{ 111,30,501 },{ 102,31,496 } },
{ { 0,104,3840 },{ 0,104,3840 },{ 0,18,448 },{ 0,18,448 } },
{ { 4,39,3904 },{ 4,39,3904 },{ 0,4,384 },{ 0,4,384 } },
{ { 0,56,3968 },{ 0,56,3968 },{ 0,84,448 },{ 0,84,448 } },
{ { 6,110,3328 },{ 6,110,3328 },{ 0,20,448 },{ 0,20,448 } },
{ { 41,200,3850 },{ 41,200,3848 },{ 1,4,480 },{ 1,4,480 } },
{ { 49,200,3850 },{ 49,200,3848 },{ 1,8,416 },{ 1,8,416 } },
{ { 57,200,3851 },{ 57,200,3848 },{ 1,38,488 },{ 1,38,488 } },
{ { 65,200,3851 },{ 65,200,3848 },{ 1,120,488 },{ 1,120,488 } },
{ { 74,200,3851 },{ 74,200,3848 },{ 2,72,488 },{ 2,72,488 } },
{ { 69,6,3907 },{ 82,200,3848 },{ 2,24,488 },{ 2,24,488 } },
{ { 77,6,3907 },{ 90,200,3848 },{ 26,120,488 },{ 10,24,488 } },
{ { 97,63,3330 },{ 98,200,3848 },{ 34,120,488 },{ 2,8,496 } },
{ { 106,63,3330 },{ 107,200,3848 },{ 43,120,488 },{ 3,92,488 } },
{ { 114,63,3330 },{ 115,200,3848 },{ 51,120,488 },{ 11,92,488 } },
{ { 122,63,3330 },{ 123,200,3848 },{ 59,120,488 },{ 7,76,496 } },
{ { 130,63,3330 },{ 131,200,3848 },{ 67,120,488 },{ 15,76,496 } },
{ { 139,63,3330 },{ 140,200,3848 },{ 76,120,488 },{ 24,76,496 } },
{ { 147,63,3330 },{ 148,200,3848 },{ 84,120,488 },{ 32,76,496 } },
{ { 155,63,3330 },{ 156,200,3848 },{ 92,120,488 },{ 40,76,496 } },
{ { 163,63,3330 },{ 164,200,3848 },{ 100,120,488 },{ 48,76,496 } },
{ { 172,63,3330 },{ 173,200,3848 },{ 109,120,488 },{ 57,76,496 } },
{ { 184,6,3851 },{ 181,200,3848 },{ 117,120,488 },{ 65,76,496 } },
{ { 192,6,3851 },{ 133,28,3936 },{ 125,120,488 },{ 73,76,496 } },
{ { 189,200,3907 },{ 141,28,3936 },{ 133,120,488 },{ 81,76,496 } },
{ { 198,200,3907 },{ 138,108,4000 },{ 142,120,488 },{ 90,76,496 } },
{ { 206,200,3907 },{ 146,108,4000 },{ 150,120,488 },{ 98,76,496 } },
{ { 214,200,3395 },{ 154,108,4000 },{ 158,120,488 },{ 106,76,496 } },
{ { 190,136,4001 },{ 162,108,4000 },{ 166,120,488 },{ 114,76,496 } },
{ { 123,30,4076 },{ 87,15,4080 },{ 123,30,492 },{ 87,15,496 } },
{ { 117,110,4084 },{ 80,31,4080 },{ 117,110,500 },{ 80,31,496 } },
{ { 125,110,4084 },{ 88,31,4080 },{ 125,110,500 },{ 88,31,496 } },
{ { 133,110,4084 },{ 96,31,4080 },{ 133,110,500 },{ 96,31,496 } },
{ { 9,56,3904 },{ 9,56,3904 },{ 0,67,448 },{ 0,67,448 } },
{ { 1,8,3904 },{ 1,8,3904 },{ 1,84,448 },{ 1,84,448 } },
{ { 1,124,3904 },{ 1,124,3904 },{ 0,39,384 },{ 0,39,384 } },
{ { 9,124,3904 },{ 9,124,3904 },{ 1,4,448 },{ 1,4,448 } },
{ { 6,76,3904 },{ 6,76,3904 },{ 0,70,448 },{ 0,70,448 } },
{ { 62,6,3859 },{ 62,6,3856 },{ 2,38,480 },{ 2,38,480 } },
{ { 70,6,3859 },{ 70,6,3856 },{ 5,43,416 },{ 5,43,416 } },
{ { 78,6,3859 },{ 78,6,3856 },{ 2,11,416 },{ 2,11,416 } },
{ { 87,6,3859 },{ 87,6,3856 },{ 0,171,488 },{ 0,171,488 } },
{ { 67,8,3906 },{ 95,6,3856 },{ 8,171,488 },{ 8,171,488 } },
{ { 75,8,3907 },{ 103,6,3856 },{ 5,123,488 },{ 5,123,488 } },
{ { 83,8,3907 },{ 111,6,3856 },{ 2,75,488 },{ 2,75,488 } },
{ { 92,8,3907 },{ 120,6,3856 },{ 0,27,488 },{ 0,27,488 } },
{ { 100,8,3907 },{ 128,6,3856 },{ 8,27,488 },{ 8,27,488 } },
{ { 120,106,3843 },{ 136,6,3856 },{ 100,6,387 },{ 16,27,488 } },
{ { 128,106,3843 },{ 144,6,3856 },{ 108,6,387 },{ 2,11,496 } },
{ { 137,106,3843 },{ 153,6,3856 },{ 117,6,387 },{ 11,11,496 } },
{ { 145,106,3843 },{ 161,6,3856 },{ 125,6,387 },{ 19,11,496 } },
{ { 163,8,3851 },{ 137,43,3904 },{ 133,6,387 },{ 27,11,496 } },
{ { 171,8,3851 },{ 101,11,4000 },{ 141,6,387 },{ 35,11,496 } },
{ { 180,8,3851 },{ 110,11,4000 },{ 150,6,387 },{ 44,11,496 } },
{ { 188,8,3851 },{ 118,11,4000 },{ 158,6,387 },{ 52,11,496 } },
{ { 172,72,3907 },{ 126,11,4000 },{ 166,6,387 },{ 60,11,496 } },
{ { 174,6,3971 },{ 134,11,4000 },{ 174,6,387 },{ 68,11,496 } },
{ { 183,6,3971 },{ 143,11,4000 },{ 183,6,387 },{ 77,11,496 } },
{ { 191,6,3971 },{ 151,11,4000 },{ 191,6,387 },{ 85,11,496 } },
{ { 199,6,3971 },{ 159,11,4000 },{ 199,6,387 },{ 93,11,496 } },
{ { 92,12,4084 },{ 69,15,4080 },{ 92,12,500 },{ 69,15,496 } },
{ { 101,12,4084 },{ 78,15,4080 },{ 101,12,500 },{ 78,15,496 } },
{ { 109,12,4084 },{ 86,15,4080 },{ 109,12,500 },{ 86,15,496 } },
{ { 117,12,4084 },{ 79,31,4080 },{ 117,12,500 },{ 79,31,496 } },
{ { 125,12,4084 },{ 87,31,4080 },{ 125,12,500 },{ 87,31,496 } },
{ { 71,8,3602 },{ 71,8,3600 },{ 2,21,384 },{ 2,21,384 } },
{ { 79,8,3611 },{ 79,8,3608 },{ 0,69,448 },{ 0,69,448 } },
{ { 87,8,3611 },{ 87,8,3608 },{ 0,23,384 },{ 0,23,384 } },
{ { 95,8,3611 },{ 95,8,3608 },{ 1,5,448 },{ 1,5,448 } },
{ { 104,8,3611 },{ 104,8,3608 },{ 0,88,448 },{ 0,88,448 } },
{ { 112,8,3611 },{ 112,8,3608 },{ 0,72,448 },{ 0,72,448 } },
{ { 120,8,3611 },{ 121,8,3608 },{ 36,21,458 },{ 36,21,456 } },
{ { 133,47,3091 },{ 129,8,3608 },{ 44,21,458 },{ 44,21,456 } },
{ { 142,47,3091 },{ 138,8,3608 },{ 53,21,459 },{ 53,21,456 } },
{ { 98,12,3850 },{ 98,12,3848 },{ 61,21,459 },{ 61,21,456 } },
{ { 106,12,3850 },{ 106,12,3848 },{ 10,92,480 },{ 69,21,456 } },
{ { 114,12,3851 },{ 114,12,3848 },{ 18,92,480 },{ 77,21,456 } },
{ { 87,12,3906 },{ 87,12,3904 },{ 3,44,488 },{ 86,21,456 } },
{ { 95,12,3906 },{ 95,12,3904 },{ 11,44,488 },{ 94,21,456 } },
{ { 103,12,3906 },{ 103,12,3904 },{ 19,44,488 },{ 102,21,456 } },
{ { 111,12,3907 },{ 111,12,3904 },{ 27,44,489 },{ 110,21,456 } },
{ { 120,12,3907 },{ 120,12,3904 },{ 36,44,489 },{ 119,21,456 } },
{ { 128,12,3907 },{ 128,12,3904 },{ 44,44,489 },{ 127,21,456 } },
{ { 136,12,3907 },{ 136,12,3904 },{ 52,44,489 },{ 135,21,456 } },
{ { 144,12,3907 },{ 144,12,3904 },{ 60,44,489 },{ 143,21,456 } },
{ { 153,12,3907 },{ 153,12,3904 },{ 69,44,490 },{ 152,21,456 } },
{ { 161,12,3395 },{ 149,188,3968 },{ 77,44,490 },{ 160,21,456 } },
{ { 169,12,3395 },{ 198,21,3928 },{ 85,44,490 },{ 168,21,456 } },
{ { 113,95,4001 },{ 201,69,3992 },{ 125,8,483 },{ 176,21,456 } },
{ { 122,95,4001 },{ 200,21,3984 },{ 134,8,483 },{ 185,21,456 } },
{ { 142,8,4067 },{ 208,21,3984 },{ 142,8,483 },{ 193,21,456 } },
{ { 151,8,4067 },{ 47,15,4080 },{ 151,8,483 },{ 47,15,496 } },
{ { 159,8,4067 },{ 55,15,4080 },{ 159,8,483 },{ 55,15,496 } },
{ { 168,8,4067 },{ 64,15,4080 },{ 168,8,483 },{ 64,15,496 } },
{ { 160,40,4075 },{ 72,15,4080 },{ 160,40,491 },{ 72,15,496 } },
{ { 168,40,4075 },{ 80,15,4080 },{ 168,40,491 },{ 80,15,496 } },
{ { 144,8,4082 },{ 88,15,4080 },{ 144,8,498 },{ 88,15,496 } }
};
#endif // BASISD_SUPPORT_ETC2_EAC_A8
#if BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
static void create_etc2_eac_a8_conversion_table()
{
FILE* pFile = fopen("basisu_decoder_tables_etc2_eac_a8.inc", "w");
for (uint32_t inten = 0; inten < 8; inten++)
{
for (uint32_t base = 0; base < 32; base++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(base, base, base, 255), false), inten);
fprintf(pFile, "{");
for (uint32_t sel_range = 0; sel_range < NUM_ETC2_EAC_SELECTOR_RANGES; sel_range++)
{
const uint32_t low_selector = s_etc2_eac_selector_ranges[sel_range].m_low;
const uint32_t high_selector = s_etc2_eac_selector_ranges[sel_range].m_high;
// We have a ETC1 base color and intensity, and a used selector range from low_selector-high_selector.
// Now find the best ETC2 EAC A8 base/table/multiplier that fits these colors.
uint8_t pixels[4];
uint32_t num_pixels = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
pixels[num_pixels++] = block_colors[s].g;
pack_eac_a8_results pack_results;
pack_eac_a8_exhaustive(pack_results, pixels, num_pixels);
etc1_g_to_eac_conversion& c = s_etc1_g_to_etc2_a8[base + inten * 32][sel_range];
c.m_base = pack_results.m_base;
c.m_table_mul = pack_results.m_table * 16 + pack_results.m_multiplier;
c.m_trans = 0;
for (uint32_t s = 0; s < 4; s++)
{
if ((s < low_selector) || (s > high_selector))
continue;
uint32_t etc2_selector = pack_results.m_selectors[s - low_selector];
c.m_trans |= (etc2_selector << (s * 3));
}
fprintf(pFile, "{%u,%u,%u}", c.m_base, c.m_table_mul, c.m_trans);
if (sel_range < (NUM_ETC2_EAC_SELECTOR_RANGES - 1))
fprintf(pFile, ",");
}
fprintf(pFile, "},\n");
}
}
fclose(pFile);
}
#endif
#if BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES
struct pack_eac_r11_results
{
uint32_t m_base;
uint32_t m_table;
uint32_t m_multiplier;
basisu::vector<uint8_t> m_selectors;
basisu::vector<uint8_t> m_selectors_temp;
};
static uint64_t pack_eac_r11_exhaustive(pack_eac_r11_results& results, const uint8_t* pPixels, uint32_t num_pixels)
{
results.m_selectors.resize(num_pixels);
results.m_selectors_temp.resize(num_pixels);
uint64_t best_err = UINT64_MAX;
for (uint32_t base_color = 0; base_color < 256; base_color++)
{
for (uint32_t multiplier = 0; multiplier < 16; multiplier++)
{
for (uint32_t table = 0; table < 16; table++)
{
uint64_t total_err = 0;
for (uint32_t i = 0; i < num_pixels; i++)
{
// Convert 8-bit input to 11-bits
const int a = (pPixels[i] * 2047 + 128) / 255;
uint32_t best_s_err = UINT32_MAX;
uint32_t best_s = 0;
for (uint32_t s = 0; s < 8; s++)
{
int v = (int)(multiplier ? (multiplier * 8) : 1) * g_eac_modifier_table[table][s] + (int)base_color * 8 + 4;
if (v < 0)
v = 0;
else if (v > 2047)
v = 2047;
uint32_t err = abs(a - v);
if (err < best_s_err)
{
best_s_err = err;
best_s = s;
}
}
results.m_selectors_temp[i] = static_cast<uint8_t>(best_s);
total_err += best_s_err * best_s_err;
if (total_err >= best_err)
break;
}
if (total_err < best_err)
{
best_err = total_err;
results.m_base = base_color;
results.m_multiplier = multiplier;
results.m_table = table;
results.m_selectors.swap(results.m_selectors_temp);
}
} // table
} // multiplier
} // base_color
return best_err;
}
static void create_etc2_eac_r11_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_decoder_tables_etc2_eac_r11.inc", "w");
for (uint32_t inten = 0; inten < 8; inten++)
{
for (uint32_t base = 0; base < 32; base++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(base, base, base, 255), false), inten);
fprintf(pFile, "{");
for (uint32_t sel_range = 0; sel_range < NUM_ETC2_EAC_SELECTOR_RANGES; sel_range++)
{
const uint32_t low_selector = s_etc2_eac_selector_ranges[sel_range].m_low;
const uint32_t high_selector = s_etc2_eac_selector_ranges[sel_range].m_high;
// We have a ETC1 base color and intensity, and a used selector range from low_selector-high_selector.
// Now find the best ETC2 EAC R11 base/table/multiplier that fits these colors.
uint8_t pixels[4];
uint32_t num_pixels = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
pixels[num_pixels++] = block_colors[s].g;
pack_eac_r11_results pack_results;
pack_eac_r11_exhaustive(pack_results, pixels, num_pixels);
etc1_g_to_eac_conversion c;
c.m_base = (uint8_t)pack_results.m_base;
c.m_table_mul = (uint8_t)(pack_results.m_table * 16 + pack_results.m_multiplier);
c.m_trans = 0;
for (uint32_t s = 0; s < 4; s++)
{
if ((s < low_selector) || (s > high_selector))
continue;
uint32_t etc2_selector = pack_results.m_selectors[s - low_selector];
c.m_trans |= (etc2_selector << (s * 3));
}
fprintf(pFile, "{%u,%u,%u}", c.m_base, c.m_table_mul, c.m_trans);
if (sel_range < (NUM_ETC2_EAC_SELECTOR_RANGES - 1))
fprintf(pFile, ",");
}
fprintf(pFile, "},\n");
}
}
fclose(pFile);
}
#endif // BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES
#if BASISD_WRITE_NEW_ASTC_TABLES
static void create_etc1_to_astc_conversion_table_0_47();
static void create_etc1_to_astc_conversion_table_0_255();
#endif
#if BASISD_SUPPORT_ASTC
static void transcoder_init_astc();
#endif
#if BASISD_WRITE_NEW_BC7_MODE5_TABLES
static void create_etc1_to_bc7_m5_color_conversion_table();
static void create_etc1_to_bc7_m5_alpha_conversion_table();
#endif
#if BASISD_SUPPORT_BC7_MODE5
static void transcoder_init_bc7_mode5();
#endif
#if BASISD_WRITE_NEW_ATC_TABLES
static void create_etc1s_to_atc_conversion_tables();
#endif
#if BASISD_SUPPORT_ATC
static void transcoder_init_atc();
#endif
#if BASISD_SUPPORT_PVRTC2
static void transcoder_init_pvrtc2();
#endif
#if BASISD_SUPPORT_UASTC
void uastc_init();
#endif
static bool g_transcoder_initialized;
// Library global initialization. Requires ~9 milliseconds when compiled and executed natively on a Core i7 2.2 GHz.
// If this is too slow, these computed tables can easilky be moved to be compiled in.
void basisu_transcoder_init()
{
if (g_transcoder_initialized)
{
BASISU_DEVEL_ERROR("basisu_transcoder::basisu_transcoder_init: Called more than once\n");
return;
}
BASISU_DEVEL_ERROR("basisu_transcoder::basisu_transcoder_init: Initializing (this is not an error)\n");
#if BASISD_SUPPORT_UASTC
uastc_init();
#endif
#if BASISD_SUPPORT_ASTC
transcoder_init_astc();
#endif
#if BASISD_WRITE_NEW_ASTC_TABLES
create_etc1_to_astc_conversion_table_0_47();
create_etc1_to_astc_conversion_table_0_255();
exit(0);
#endif
#if BASISD_WRITE_NEW_BC7_MODE5_TABLES
create_etc1_to_bc7_m5_color_conversion_table();
create_etc1_to_bc7_m5_alpha_conversion_table();
exit(0);
#endif
#if BASISD_WRITE_NEW_DXT1_TABLES
create_etc1_to_dxt1_5_conversion_table();
create_etc1_to_dxt1_6_conversion_table();
exit(0);
#endif
#if BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
create_etc2_eac_a8_conversion_table();
exit(0);
#endif
#if BASISD_WRITE_NEW_ATC_TABLES
create_etc1s_to_atc_conversion_tables();
exit(0);
#endif
#if BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES
create_etc2_eac_r11_conversion_table();
exit(0);
#endif
#if BASISD_SUPPORT_DXT1 || BASISD_SUPPORT_UASTC
uint8_t bc1_expand5[32];
for (int i = 0; i < 32; i++)
bc1_expand5[i] = static_cast<uint8_t>((i << 3) | (i >> 2));
prepare_bc1_single_color_table(g_bc1_match5_equals_1, bc1_expand5, 32, 32, 1);
prepare_bc1_single_color_table(g_bc1_match5_equals_0, bc1_expand5, 1, 32, 0);
uint8_t bc1_expand6[64];
for (int i = 0; i < 64; i++)
bc1_expand6[i] = static_cast<uint8_t>((i << 2) | (i >> 4));
prepare_bc1_single_color_table(g_bc1_match6_equals_1, bc1_expand6, 64, 64, 1);
prepare_bc1_single_color_table(g_bc1_match6_equals_0, bc1_expand6, 1, 64, 0);
#if 0
for (uint32_t i = 0; i < 256; i++)
{
printf("%u %u %u\n", i, (i * 63 + 127) / 255, g_bc1_match6_equals_0[i].m_hi);
}
exit(0);
#endif
#endif
#if BASISD_SUPPORT_DXT1
for (uint32_t i = 0; i < NUM_ETC1_TO_DXT1_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_dxt1_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_dxt1_selector_ranges[i].m_high;
g_etc1_to_dxt1_selector_range_index[l][h] = i;
}
for (uint32_t sm = 0; sm < NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS; sm++)
{
uint8_t etc1_to_dxt1_selector_mappings_raw_dxt1[4];
uint8_t etc1_to_dxt1_selector_mappings_raw_dxt1_inv[4];
for (uint32_t j = 0; j < 4; j++)
{
static const uint8_t s_linear_dxt1_to_dxt1[4] = { 0, 2, 3, 1 };
static const uint8_t s_dxt1_inverted_xlat[4] = { 1, 0, 3, 2 };
etc1_to_dxt1_selector_mappings_raw_dxt1[j] = (uint8_t)s_linear_dxt1_to_dxt1[g_etc1_to_dxt1_selector_mappings[sm][j]];
etc1_to_dxt1_selector_mappings_raw_dxt1_inv[j] = (uint8_t)s_dxt1_inverted_xlat[etc1_to_dxt1_selector_mappings_raw_dxt1[j]];
}
for (uint32_t i = 0; i < 256; i++)
{
uint32_t k = 0, k_inv = 0;
for (uint32_t s = 0; s < 4; s++)
{
k |= (etc1_to_dxt1_selector_mappings_raw_dxt1[(i >> (s * 2)) & 3] << (s * 2));
k_inv |= (etc1_to_dxt1_selector_mappings_raw_dxt1_inv[(i >> (s * 2)) & 3] << (s * 2));
}
g_etc1_to_dxt1_selector_mappings_raw_dxt1_256[sm][i] = (uint8_t)k;
g_etc1_to_dxt1_selector_mappings_raw_dxt1_inv_256[sm][i] = (uint8_t)k_inv;
}
}
#endif
#if BASISD_SUPPORT_BC7_MODE5
transcoder_init_bc7_mode5();
#endif
#if BASISD_SUPPORT_ATC
transcoder_init_atc();
#endif
#if BASISD_SUPPORT_PVRTC2
transcoder_init_pvrtc2();
#endif
g_transcoder_initialized = true;
}
#if BASISD_SUPPORT_DXT1
static void convert_etc1s_to_dxt1(dxt1_block* pDst_block, const endpoint *pEndpoints, const selector* pSelector, bool use_threecolor_blocks)
{
#if !BASISD_WRITE_NEW_DXT1_TABLES
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
uint32_t mask = 0xAA;
uint32_t max16 = (g_bc1_match5_equals_1[r].m_hi << 11) | (g_bc1_match6_equals_1[g].m_hi << 5) | g_bc1_match5_equals_1[b].m_hi;
uint32_t min16 = (g_bc1_match5_equals_1[r].m_lo << 11) | (g_bc1_match6_equals_1[g].m_lo << 5) | g_bc1_match5_equals_1[b].m_lo;
if ((!use_threecolor_blocks) && (min16 == max16))
{
// This is an annoying edge case that impacts BC3.
// This is to guarantee that BC3 blocks never use punchthrough alpha (3 color) mode, which isn't supported on some (all?) GPU's.
mask = 0;
// Make l > h
if (min16 > 0)
min16--;
else
{
// l = h = 0
assert(min16 == max16 && max16 == 0);
max16 = 1;
min16 = 0;
mask = 0x55;
}
assert(max16 > min16);
}
if (max16 < min16)
{
std::swap(max16, min16);
mask ^= 0x55;
}
pDst_block->set_low_color(static_cast<uint16_t>(max16));
pDst_block->set_high_color(static_cast<uint16_t>(min16));
pDst_block->m_selectors[0] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[1] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[2] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[3] = static_cast<uint8_t>(mask);
return;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
uint32_t max16 = (g_bc1_match5_equals_0[r0].m_hi << 11) | (g_bc1_match6_equals_0[g0].m_hi << 5) | g_bc1_match5_equals_0[b0].m_hi;
uint32_t min16 = (g_bc1_match5_equals_0[r1].m_hi << 11) | (g_bc1_match6_equals_0[g1].m_hi << 5) | g_bc1_match5_equals_0[b1].m_hi;
uint32_t l = 0, h = 1;
if (min16 == max16)
{
// Make l > h
if (min16 > 0)
{
min16--;
l = 0;
h = 0;
}
else
{
// l = h = 0
assert(min16 == max16 && max16 == 0);
max16 = 1;
min16 = 0;
l = 1;
h = 1;
}
assert(max16 > min16);
}
if (max16 < min16)
{
std::swap(max16, min16);
l = 1;
h = 0;
}
pDst_block->set_low_color((uint16_t)max16);
pDst_block->set_high_color((uint16_t)min16);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
pDst_block->set_selector(x, y, (s == 3) ? h : l);
}
}
return;
}
const uint32_t selector_range_table = g_etc1_to_dxt1_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_dxt1_56_solution* pTable_r = &g_etc1_to_dxt_5[(inten_table * 32 + base_color.r) * (NUM_ETC1_TO_DXT1_SELECTOR_RANGES * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS];
const etc1_to_dxt1_56_solution* pTable_g = &g_etc1_to_dxt_6[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_DXT1_SELECTOR_RANGES * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS];
const etc1_to_dxt1_56_solution* pTable_b = &g_etc1_to_dxt_5[(inten_table * 32 + base_color.b) * (NUM_ETC1_TO_DXT1_SELECTOR_RANGES * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
uint32_t l = dxt1_block::pack_unscaled_color(pTable_r[best_mapping].m_lo, pTable_g[best_mapping].m_lo, pTable_b[best_mapping].m_lo);
uint32_t h = dxt1_block::pack_unscaled_color(pTable_r[best_mapping].m_hi, pTable_g[best_mapping].m_hi, pTable_b[best_mapping].m_hi);
const uint8_t* pSelectors_xlat_256 = &g_etc1_to_dxt1_selector_mappings_raw_dxt1_256[best_mapping][0];
if (l < h)
{
std::swap(l, h);
pSelectors_xlat_256 = &g_etc1_to_dxt1_selector_mappings_raw_dxt1_inv_256[best_mapping][0];
}
pDst_block->set_low_color(static_cast<uint16_t>(l));
pDst_block->set_high_color(static_cast<uint16_t>(h));
if (l == h)
{
uint8_t mask = 0;
if (!use_threecolor_blocks)
{
// This is an annoying edge case that impacts BC3.
// Make l > h
if (h > 0)
h--;
else
{
// l = h = 0
assert(l == h && h == 0);
h = 0;
l = 1;
mask = 0x55;
}
assert(l > h);
pDst_block->set_low_color(static_cast<uint16_t>(l));
pDst_block->set_high_color(static_cast<uint16_t>(h));
}
pDst_block->m_selectors[0] = mask;
pDst_block->m_selectors[1] = mask;
pDst_block->m_selectors[2] = mask;
pDst_block->m_selectors[3] = mask;
return;
}
pDst_block->m_selectors[0] = pSelectors_xlat_256[pSelector->m_selectors[0]];
pDst_block->m_selectors[1] = pSelectors_xlat_256[pSelector->m_selectors[1]];
pDst_block->m_selectors[2] = pSelectors_xlat_256[pSelector->m_selectors[2]];
pDst_block->m_selectors[3] = pSelectors_xlat_256[pSelector->m_selectors[3]];
#endif
}
#if BASISD_ENABLE_DEBUG_FLAGS
static void convert_etc1s_to_dxt1_vis(dxt1_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector, bool use_threecolor_blocks)
{
convert_etc1s_to_dxt1(pDst_block, pEndpoints, pSelector, use_threecolor_blocks);
if (g_debug_flags & cDebugFlagVisBC1Sels)
{
uint32_t l = dxt1_block::pack_unscaled_color(31, 63, 31);
uint32_t h = dxt1_block::pack_unscaled_color(0, 0, 0);
pDst_block->set_low_color(static_cast<uint16_t>(l));
pDst_block->set_high_color(static_cast<uint16_t>(h));
}
else if (g_debug_flags & cDebugFlagVisBC1Endpoints)
{
for (uint32_t y = 0; y < 4; y++)
for (uint32_t x = 0; x < 4; x++)
pDst_block->set_selector(x, y, (y < 2) ? 0 : 1);
}
}
#endif
#endif
#if BASISD_SUPPORT_FXT1
struct fxt1_block
{
union
{
struct
{
uint64_t m_t00 : 2;
uint64_t m_t01 : 2;
uint64_t m_t02 : 2;
uint64_t m_t03 : 2;
uint64_t m_t04 : 2;
uint64_t m_t05 : 2;
uint64_t m_t06 : 2;
uint64_t m_t07 : 2;
uint64_t m_t08 : 2;
uint64_t m_t09 : 2;
uint64_t m_t10 : 2;
uint64_t m_t11 : 2;
uint64_t m_t12 : 2;
uint64_t m_t13 : 2;
uint64_t m_t14 : 2;
uint64_t m_t15 : 2;
uint64_t m_t16 : 2;
uint64_t m_t17 : 2;
uint64_t m_t18 : 2;
uint64_t m_t19 : 2;
uint64_t m_t20 : 2;
uint64_t m_t21 : 2;
uint64_t m_t22 : 2;
uint64_t m_t23 : 2;
uint64_t m_t24 : 2;
uint64_t m_t25 : 2;
uint64_t m_t26 : 2;
uint64_t m_t27 : 2;
uint64_t m_t28 : 2;
uint64_t m_t29 : 2;
uint64_t m_t30 : 2;
uint64_t m_t31 : 2;
} m_lo;
uint64_t m_lo_bits;
uint8_t m_sels[8];
};
union
{
struct
{
#ifdef BASISU_USE_ORIGINAL_3DFX_FXT1_ENCODING
uint64_t m_b1 : 5;
uint64_t m_g1 : 5;
uint64_t m_r1 : 5;
uint64_t m_b0 : 5;
uint64_t m_g0 : 5;
uint64_t m_r0 : 5;
uint64_t m_b3 : 5;
uint64_t m_g3 : 5;
uint64_t m_r3 : 5;
uint64_t m_b2 : 5;
uint64_t m_g2 : 5;
uint64_t m_r2 : 5;
#else
uint64_t m_b0 : 5;
uint64_t m_g0 : 5;
uint64_t m_r0 : 5;
uint64_t m_b1 : 5;
uint64_t m_g1 : 5;
uint64_t m_r1 : 5;
uint64_t m_b2 : 5;
uint64_t m_g2 : 5;
uint64_t m_r2 : 5;
uint64_t m_b3 : 5;
uint64_t m_g3 : 5;
uint64_t m_r3 : 5;
#endif
uint64_t m_alpha : 1;
uint64_t m_glsb : 2;
uint64_t m_mode : 1;
} m_hi;
uint64_t m_hi_bits;
};
};
static uint8_t conv_dxt1_to_fxt1_sels(uint32_t sels)
{
static uint8_t s_conv_table[16] = { 0, 3, 1, 2, 12, 15, 13, 14, 4, 7, 5, 6, 8, 11, 9, 10 };
return s_conv_table[sels & 15] | (s_conv_table[sels >> 4] << 4);
}
static void convert_etc1s_to_fxt1(void *pDst, const endpoint *pEndpoints, const selector *pSelectors, uint32_t fxt1_subblock)
{
fxt1_block* pBlock = static_cast<fxt1_block*>(pDst);
// CC_MIXED is basically DXT1 with different encoding tricks.
// So transcode ETC1S to DXT1, then transcode that to FXT1 which is easy and nearly lossless.
// (It's not completely lossless because FXT1 rounds in its color lerps while DXT1 doesn't, but it should be good enough.)
dxt1_block blk;
convert_etc1s_to_dxt1(&blk, pEndpoints, pSelectors, false);
const uint32_t l = blk.get_low_color();
const uint32_t h = blk.get_high_color();
color32 color0((l >> 11) & 31, (l >> 5) & 63, l & 31, 255);
color32 color1((h >> 11) & 31, (h >> 5) & 63, h & 31, 255);
uint32_t g0 = color0.g & 1;
uint32_t g1 = color1.g & 1;
color0.g >>= 1;
color1.g >>= 1;
blk.m_selectors[0] = conv_dxt1_to_fxt1_sels(blk.m_selectors[0]);
blk.m_selectors[1] = conv_dxt1_to_fxt1_sels(blk.m_selectors[1]);
blk.m_selectors[2] = conv_dxt1_to_fxt1_sels(blk.m_selectors[2]);
blk.m_selectors[3] = conv_dxt1_to_fxt1_sels(blk.m_selectors[3]);
if ((blk.get_selector(0, 0) >> 1) != (g0 ^ g1))
{
std::swap(color0, color1);
std::swap(g0, g1);
blk.m_selectors[0] ^= 0xFF;
blk.m_selectors[1] ^= 0xFF;
blk.m_selectors[2] ^= 0xFF;
blk.m_selectors[3] ^= 0xFF;
}
if (fxt1_subblock == 0)
{
pBlock->m_hi.m_mode = 1;
pBlock->m_hi.m_alpha = 0;
pBlock->m_hi.m_glsb = g1 | (g1 << 1);
pBlock->m_hi.m_r0 = color0.r;
pBlock->m_hi.m_g0 = color0.g;
pBlock->m_hi.m_b0 = color0.b;
pBlock->m_hi.m_r1 = color1.r;
pBlock->m_hi.m_g1 = color1.g;
pBlock->m_hi.m_b1 = color1.b;
pBlock->m_hi.m_r2 = color0.r;
pBlock->m_hi.m_g2 = color0.g;
pBlock->m_hi.m_b2 = color0.b;
pBlock->m_hi.m_r3 = color1.r;
pBlock->m_hi.m_g3 = color1.g;
pBlock->m_hi.m_b3 = color1.b;
pBlock->m_sels[0] = blk.m_selectors[0];
pBlock->m_sels[1] = blk.m_selectors[1];
pBlock->m_sels[2] = blk.m_selectors[2];
pBlock->m_sels[3] = blk.m_selectors[3];
static const uint8_t s_border_dup[4] = { 0, 85, 170, 255 };
pBlock->m_sels[4] = s_border_dup[blk.m_selectors[0] >> 6];
pBlock->m_sels[5] = s_border_dup[blk.m_selectors[1] >> 6];
pBlock->m_sels[6] = s_border_dup[blk.m_selectors[2] >> 6];
pBlock->m_sels[7] = s_border_dup[blk.m_selectors[3] >> 6];
}
else
{
pBlock->m_hi.m_glsb = (pBlock->m_hi.m_glsb & 1) | (g1 << 1);
pBlock->m_hi.m_r2 = color0.r;
pBlock->m_hi.m_g2 = color0.g;
pBlock->m_hi.m_b2 = color0.b;
pBlock->m_hi.m_r3 = color1.r;
pBlock->m_hi.m_g3 = color1.g;
pBlock->m_hi.m_b3 = color1.b;
pBlock->m_sels[4] = blk.m_selectors[0];
pBlock->m_sels[5] = blk.m_selectors[1];
pBlock->m_sels[6] = blk.m_selectors[2];
pBlock->m_sels[7] = blk.m_selectors[3];
}
}
#endif // BASISD_SUPPORT_FXT1
#if BASISD_SUPPORT_DXT5A
static dxt_selector_range s_dxt5a_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
};
const uint32_t NUM_DXT5A_SELECTOR_RANGES = sizeof(s_dxt5a_selector_ranges) / sizeof(s_dxt5a_selector_ranges[0]);
struct etc1_g_to_dxt5a_conversion
{
uint8_t m_lo, m_hi;
uint16_t m_trans;
};
static etc1_g_to_dxt5a_conversion g_etc1_g_to_dxt5a[32 * 8][NUM_DXT5A_SELECTOR_RANGES] =
{
{ { 8, 0, 393 },{ 8, 0, 392 },{ 2, 0, 9 },{ 2, 0, 8 }, }, { { 6, 16, 710 },{ 16, 6, 328 },{ 0, 10, 96 },{ 10, 6, 8 }, },
{ { 28, 5, 1327 },{ 24, 14, 328 },{ 8, 18, 96 },{ 18, 14, 8 }, }, { { 36, 13, 1327 },{ 32, 22, 328 },{ 16, 26, 96 },{ 26, 22, 8 }, },
{ { 45, 22, 1327 },{ 41, 31, 328 },{ 25, 35, 96 },{ 35, 31, 8 }, }, { { 53, 30, 1327 },{ 49, 39, 328 },{ 33, 43, 96 },{ 43, 39, 8 }, },
{ { 61, 38, 1327 },{ 57, 47, 328 },{ 41, 51, 96 },{ 51, 47, 8 }, }, { { 69, 46, 1327 },{ 65, 55, 328 },{ 49, 59, 96 },{ 59, 55, 8 }, },
{ { 78, 55, 1327 },{ 74, 64, 328 },{ 58, 68, 96 },{ 68, 64, 8 }, }, { { 86, 63, 1327 },{ 82, 72, 328 },{ 66, 76, 96 },{ 76, 72, 8 }, },
{ { 94, 71, 1327 },{ 90, 80, 328 },{ 74, 84, 96 },{ 84, 80, 8 }, }, { { 102, 79, 1327 },{ 98, 88, 328 },{ 82, 92, 96 },{ 92, 88, 8 }, },
{ { 111, 88, 1327 },{ 107, 97, 328 },{ 91, 101, 96 },{ 101, 97, 8 }, }, { { 119, 96, 1327 },{ 115, 105, 328 },{ 99, 109, 96 },{ 109, 105, 8 }, },
{ { 127, 104, 1327 },{ 123, 113, 328 },{ 107, 117, 96 },{ 117, 113, 8 }, }, { { 135, 112, 1327 },{ 131, 121, 328 },{ 115, 125, 96 },{ 125, 121, 8 }, },
{ { 144, 121, 1327 },{ 140, 130, 328 },{ 124, 134, 96 },{ 134, 130, 8 }, }, { { 152, 129, 1327 },{ 148, 138, 328 },{ 132, 142, 96 },{ 142, 138, 8 }, },
{ { 160, 137, 1327 },{ 156, 146, 328 },{ 140, 150, 96 },{ 150, 146, 8 }, }, { { 168, 145, 1327 },{ 164, 154, 328 },{ 148, 158, 96 },{ 158, 154, 8 }, },
{ { 177, 154, 1327 },{ 173, 163, 328 },{ 157, 167, 96 },{ 167, 163, 8 }, }, { { 185, 162, 1327 },{ 181, 171, 328 },{ 165, 175, 96 },{ 175, 171, 8 }, },
{ { 193, 170, 1327 },{ 189, 179, 328 },{ 173, 183, 96 },{ 183, 179, 8 }, }, { { 201, 178, 1327 },{ 197, 187, 328 },{ 181, 191, 96 },{ 191, 187, 8 }, },
{ { 210, 187, 1327 },{ 206, 196, 328 },{ 190, 200, 96 },{ 200, 196, 8 }, }, { { 218, 195, 1327 },{ 214, 204, 328 },{ 198, 208, 96 },{ 208, 204, 8 }, },
{ { 226, 203, 1327 },{ 222, 212, 328 },{ 206, 216, 96 },{ 216, 212, 8 }, }, { { 234, 211, 1327 },{ 230, 220, 328 },{ 214, 224, 96 },{ 224, 220, 8 }, },
{ { 243, 220, 1327 },{ 239, 229, 328 },{ 223, 233, 96 },{ 233, 229, 8 }, }, { { 251, 228, 1327 },{ 247, 237, 328 },{ 231, 241, 96 },{ 241, 237, 8 }, },
{ { 239, 249, 3680 },{ 245, 249, 3648 },{ 239, 249, 96 },{ 249, 245, 8 }, }, { { 247, 253, 4040 },{ 255, 253, 8 },{ 247, 253, 456 },{ 255, 253, 8 }, },
{ { 5, 17, 566 },{ 5, 17, 560 },{ 5, 0, 9 },{ 5, 0, 8 }, }, { { 25, 0, 313 },{ 25, 3, 328 },{ 13, 0, 49 },{ 13, 3, 8 }, },
{ { 39, 0, 1329 },{ 33, 11, 328 },{ 11, 21, 70 },{ 21, 11, 8 }, }, { { 47, 7, 1329 },{ 41, 19, 328 },{ 29, 7, 33 },{ 29, 19, 8 }, },
{ { 50, 11, 239 },{ 50, 28, 328 },{ 38, 16, 33 },{ 38, 28, 8 }, }, { { 92, 13, 2423 },{ 58, 36, 328 },{ 46, 24, 33 },{ 46, 36, 8 }, },
{ { 100, 21, 2423 },{ 66, 44, 328 },{ 54, 32, 33 },{ 54, 44, 8 }, }, { { 86, 7, 1253 },{ 74, 52, 328 },{ 62, 40, 33 },{ 62, 52, 8 }, },
{ { 95, 16, 1253 },{ 83, 61, 328 },{ 71, 49, 33 },{ 71, 61, 8 }, }, { { 103, 24, 1253 },{ 91, 69, 328 },{ 79, 57, 33 },{ 79, 69, 8 }, },
{ { 111, 32, 1253 },{ 99, 77, 328 },{ 87, 65, 33 },{ 87, 77, 8 }, }, { { 119, 40, 1253 },{ 107, 85, 328 },{ 95, 73, 33 },{ 95, 85, 8 }, },
{ { 128, 49, 1253 },{ 116, 94, 328 },{ 104, 82, 33 },{ 104, 94, 8 }, }, { { 136, 57, 1253 },{ 124, 102, 328 },{ 112, 90, 33 },{ 112, 102, 8 }, },
{ { 144, 65, 1253 },{ 132, 110, 328 },{ 120, 98, 33 },{ 120, 110, 8 }, }, { { 152, 73, 1253 },{ 140, 118, 328 },{ 128, 106, 33 },{ 128, 118, 8 }, },
{ { 161, 82, 1253 },{ 149, 127, 328 },{ 137, 115, 33 },{ 137, 127, 8 }, }, { { 169, 90, 1253 },{ 157, 135, 328 },{ 145, 123, 33 },{ 145, 135, 8 }, },
{ { 177, 98, 1253 },{ 165, 143, 328 },{ 153, 131, 33 },{ 153, 143, 8 }, }, { { 185, 106, 1253 },{ 173, 151, 328 },{ 161, 139, 33 },{ 161, 151, 8 }, },
{ { 194, 115, 1253 },{ 182, 160, 328 },{ 170, 148, 33 },{ 170, 160, 8 }, }, { { 202, 123, 1253 },{ 190, 168, 328 },{ 178, 156, 33 },{ 178, 168, 8 }, },
{ { 210, 131, 1253 },{ 198, 176, 328 },{ 186, 164, 33 },{ 186, 176, 8 }, }, { { 218, 139, 1253 },{ 206, 184, 328 },{ 194, 172, 33 },{ 194, 184, 8 }, },
{ { 227, 148, 1253 },{ 215, 193, 328 },{ 203, 181, 33 },{ 203, 193, 8 }, }, { { 235, 156, 1253 },{ 223, 201, 328 },{ 211, 189, 33 },{ 211, 201, 8 }, },
{ { 243, 164, 1253 },{ 231, 209, 328 },{ 219, 197, 33 },{ 219, 209, 8 }, }, { { 183, 239, 867 },{ 239, 217, 328 },{ 227, 205, 33 },{ 227, 217, 8 }, },
{ { 254, 214, 1329 },{ 248, 226, 328 },{ 236, 214, 33 },{ 236, 226, 8 }, }, { { 222, 244, 3680 },{ 234, 244, 3648 },{ 244, 222, 33 },{ 244, 234, 8 }, },
{ { 230, 252, 3680 },{ 242, 252, 3648 },{ 252, 230, 33 },{ 252, 242, 8 }, }, { { 238, 250, 4040 },{ 255, 250, 8 },{ 238, 250, 456 },{ 255, 250, 8 }, },
{ { 9, 29, 566 },{ 9, 29, 560 },{ 9, 0, 9 },{ 9, 0, 8 }, }, { { 17, 37, 566 },{ 17, 37, 560 },{ 17, 0, 9 },{ 17, 0, 8 }, },
{ { 45, 0, 313 },{ 45, 0, 312 },{ 25, 0, 49 },{ 25, 7, 8 }, }, { { 14, 63, 2758 },{ 5, 53, 784 },{ 15, 33, 70 },{ 33, 15, 8 }, },
{ { 71, 6, 1329 },{ 72, 4, 1328 },{ 42, 4, 33 },{ 42, 24, 8 }, }, { { 70, 3, 239 },{ 70, 2, 232 },{ 50, 12, 33 },{ 50, 32, 8 }, },
{ { 0, 98, 2842 },{ 78, 10, 232 },{ 58, 20, 33 },{ 58, 40, 8 }, }, { { 97, 27, 1329 },{ 86, 18, 232 },{ 66, 28, 33 },{ 66, 48, 8 }, },
{ { 0, 94, 867 },{ 95, 27, 232 },{ 75, 37, 33 },{ 75, 57, 8 }, }, { { 8, 102, 867 },{ 103, 35, 232 },{ 83, 45, 33 },{ 83, 65, 8 }, },
{ { 12, 112, 867 },{ 111, 43, 232 },{ 91, 53, 33 },{ 91, 73, 8 }, }, { { 139, 2, 1253 },{ 119, 51, 232 },{ 99, 61, 33 },{ 99, 81, 8 }, },
{ { 148, 13, 1253 },{ 128, 60, 232 },{ 108, 70, 33 },{ 108, 90, 8 }, }, { { 156, 21, 1253 },{ 136, 68, 232 },{ 116, 78, 33 },{ 116, 98, 8 }, },
{ { 164, 29, 1253 },{ 144, 76, 232 },{ 124, 86, 33 },{ 124, 106, 8 }, }, { { 172, 37, 1253 },{ 152, 84, 232 },{ 132, 94, 33 },{ 132, 114, 8 }, },
{ { 181, 46, 1253 },{ 161, 93, 232 },{ 141, 103, 33 },{ 141, 123, 8 }, }, { { 189, 54, 1253 },{ 169, 101, 232 },{ 149, 111, 33 },{ 149, 131, 8 }, },
{ { 197, 62, 1253 },{ 177, 109, 232 },{ 157, 119, 33 },{ 157, 139, 8 }, }, { { 205, 70, 1253 },{ 185, 117, 232 },{ 165, 127, 33 },{ 165, 147, 8 }, },
{ { 214, 79, 1253 },{ 194, 126, 232 },{ 174, 136, 33 },{ 174, 156, 8 }, }, { { 222, 87, 1253 },{ 202, 134, 232 },{ 182, 144, 33 },{ 182, 164, 8 }, },
{ { 230, 95, 1253 },{ 210, 142, 232 },{ 190, 152, 33 },{ 190, 172, 8 }, }, { { 238, 103, 1253 },{ 218, 150, 232 },{ 198, 160, 33 },{ 198, 180, 8 }, },
{ { 247, 112, 1253 },{ 227, 159, 232 },{ 207, 169, 33 },{ 207, 189, 8 }, }, { { 255, 120, 1253 },{ 235, 167, 232 },{ 215, 177, 33 },{ 215, 197, 8 }, },
{ { 146, 243, 867 },{ 243, 175, 232 },{ 223, 185, 33 },{ 223, 205, 8 }, }, { { 184, 231, 3682 },{ 203, 251, 784 },{ 231, 193, 33 },{ 231, 213, 8 }, },
{ { 193, 240, 3682 },{ 222, 240, 3648 },{ 240, 202, 33 },{ 240, 222, 8 }, }, { { 255, 210, 169 },{ 230, 248, 3648 },{ 248, 210, 33 },{ 248, 230, 8 }, },
{ { 218, 238, 4040 },{ 255, 238, 8 },{ 218, 238, 456 },{ 255, 238, 8 }, }, { { 226, 246, 4040 },{ 255, 246, 8 },{ 226, 246, 456 },{ 255, 246, 8 }, },
{ { 13, 42, 566 },{ 13, 42, 560 },{ 13, 0, 9 },{ 13, 0, 8 }, }, { { 50, 0, 329 },{ 50, 0, 328 },{ 21, 0, 9 },{ 21, 0, 8 }, },
{ { 29, 58, 566 },{ 67, 2, 1352 },{ 3, 29, 70 },{ 29, 3, 8 }, }, { { 10, 79, 2758 },{ 76, 11, 1352 },{ 11, 37, 70 },{ 37, 11, 8 }, },
{ { 7, 75, 790 },{ 7, 75, 784 },{ 20, 46, 70 },{ 46, 20, 8 }, }, { { 15, 83, 790 },{ 97, 1, 1328 },{ 28, 54, 70 },{ 54, 28, 8 }, },
{ { 101, 7, 1329 },{ 105, 9, 1328 },{ 62, 0, 39 },{ 62, 36, 8 }, }, { { 99, 1, 239 },{ 99, 3, 232 },{ 1, 71, 98 },{ 70, 44, 8 }, },
{ { 107, 11, 239 },{ 108, 12, 232 },{ 10, 80, 98 },{ 79, 53, 8 }, }, { { 115, 19, 239 },{ 116, 20, 232 },{ 18, 88, 98 },{ 87, 61, 8 }, },
{ { 123, 27, 239 },{ 124, 28, 232 },{ 26, 96, 98 },{ 95, 69, 8 }, }, { { 131, 35, 239 },{ 132, 36, 232 },{ 34, 104, 98 },{ 103, 77, 8 }, },
{ { 140, 44, 239 },{ 141, 45, 232 },{ 43, 113, 98 },{ 112, 86, 8 }, }, { { 148, 52, 239 },{ 149, 53, 232 },{ 51, 121, 98 },{ 120, 94, 8 }, },
{ { 156, 60, 239 },{ 157, 61, 232 },{ 59, 129, 98 },{ 128, 102, 8 }, }, { { 164, 68, 239 },{ 165, 69, 232 },{ 67, 137, 98 },{ 136, 110, 8 }, },
{ { 173, 77, 239 },{ 174, 78, 232 },{ 76, 146, 98 },{ 145, 119, 8 }, }, { { 181, 85, 239 },{ 182, 86, 232 },{ 84, 154, 98 },{ 153, 127, 8 }, },
{ { 189, 93, 239 },{ 190, 94, 232 },{ 92, 162, 98 },{ 161, 135, 8 }, }, { { 197, 101, 239 },{ 198, 102, 232 },{ 100, 170, 98 },{ 169, 143, 8 }, },
{ { 206, 110, 239 },{ 207, 111, 232 },{ 109, 179, 98 },{ 178, 152, 8 }, }, { { 214, 118, 239 },{ 215, 119, 232 },{ 117, 187, 98 },{ 186, 160, 8 }, },
{ { 222, 126, 239 },{ 223, 127, 232 },{ 125, 195, 98 },{ 194, 168, 8 }, }, { { 230, 134, 239 },{ 231, 135, 232 },{ 133, 203, 98 },{ 202, 176, 8 }, },
{ { 239, 143, 239 },{ 240, 144, 232 },{ 142, 212, 98 },{ 211, 185, 8 }, }, { { 247, 151, 239 },{ 180, 248, 784 },{ 150, 220, 98 },{ 219, 193, 8 }, },
{ { 159, 228, 3682 },{ 201, 227, 3648 },{ 158, 228, 98 },{ 227, 201, 8 }, }, { { 181, 249, 3928 },{ 209, 235, 3648 },{ 166, 236, 98 },{ 235, 209, 8 }, },
{ { 255, 189, 169 },{ 218, 244, 3648 },{ 175, 245, 98 },{ 244, 218, 8 }, }, { { 197, 226, 4040 },{ 226, 252, 3648 },{ 183, 253, 98 },{ 252, 226, 8 }, },
{ { 205, 234, 4040 },{ 255, 234, 8 },{ 205, 234, 456 },{ 255, 234, 8 }, }, { { 213, 242, 4040 },{ 255, 242, 8 },{ 213, 242, 456 },{ 255, 242, 8 }, },
{ { 18, 60, 566 },{ 18, 60, 560 },{ 18, 0, 9 },{ 18, 0, 8 }, }, { { 26, 68, 566 },{ 26, 68, 560 },{ 26, 0, 9 },{ 26, 0, 8 }, },
{ { 34, 76, 566 },{ 34, 76, 560 },{ 34, 0, 9 },{ 34, 0, 8 }, }, { { 5, 104, 2758 },{ 98, 5, 1352 },{ 42, 0, 57 },{ 42, 6, 8 }, },
{ { 92, 0, 313 },{ 93, 1, 312 },{ 15, 51, 70 },{ 51, 15, 8 }, }, { { 3, 101, 790 },{ 3, 101, 784 },{ 0, 59, 88 },{ 59, 23, 8 }, },
{ { 14, 107, 790 },{ 11, 109, 784 },{ 31, 67, 70 },{ 67, 31, 8 }, }, { { 19, 117, 790 },{ 19, 117, 784 },{ 39, 75, 70 },{ 75, 39, 8 }, },
{ { 28, 126, 790 },{ 28, 126, 784 },{ 83, 5, 33 },{ 84, 48, 8 }, }, { { 132, 0, 239 },{ 36, 134, 784 },{ 91, 13, 33 },{ 92, 56, 8 }, },
{ { 142, 4, 239 },{ 44, 142, 784 },{ 99, 21, 33 },{ 100, 64, 8 }, }, { { 150, 12, 239 },{ 52, 150, 784 },{ 107, 29, 33 },{ 108, 72, 8 }, },
{ { 159, 21, 239 },{ 61, 159, 784 },{ 116, 38, 33 },{ 117, 81, 8 }, }, { { 167, 29, 239 },{ 69, 167, 784 },{ 124, 46, 33 },{ 125, 89, 8 }, },
{ { 175, 37, 239 },{ 77, 175, 784 },{ 132, 54, 33 },{ 133, 97, 8 }, }, { { 183, 45, 239 },{ 85, 183, 784 },{ 140, 62, 33 },{ 141, 105, 8 }, },
{ { 192, 54, 239 },{ 94, 192, 784 },{ 149, 71, 33 },{ 150, 114, 8 }, }, { { 200, 62, 239 },{ 102, 200, 784 },{ 157, 79, 33 },{ 158, 122, 8 }, },
{ { 208, 70, 239 },{ 110, 208, 784 },{ 165, 87, 33 },{ 166, 130, 8 }, }, { { 216, 78, 239 },{ 118, 216, 784 },{ 173, 95, 33 },{ 174, 138, 8 }, },
{ { 225, 87, 239 },{ 127, 225, 784 },{ 182, 104, 33 },{ 183, 147, 8 }, }, { { 233, 95, 239 },{ 135, 233, 784 },{ 190, 112, 33 },{ 191, 155, 8 }, },
{ { 241, 103, 239 },{ 143, 241, 784 },{ 198, 120, 33 },{ 199, 163, 8 }, }, { { 111, 208, 3682 },{ 151, 249, 784 },{ 206, 128, 33 },{ 207, 171, 8 }, },
{ { 120, 217, 3682 },{ 180, 216, 3648 },{ 215, 137, 33 },{ 216, 180, 8 }, }, { { 128, 225, 3682 },{ 188, 224, 3648 },{ 223, 145, 33 },{ 224, 188, 8 }, },
{ { 155, 253, 3928 },{ 196, 232, 3648 },{ 231, 153, 33 },{ 232, 196, 8 }, }, { { 144, 241, 3682 },{ 204, 240, 3648 },{ 239, 161, 33 },{ 240, 204, 8 }, },
{ { 153, 250, 3682 },{ 213, 249, 3648 },{ 248, 170, 33 },{ 249, 213, 8 }, }, { { 179, 221, 4040 },{ 255, 221, 8 },{ 179, 221, 456 },{ 255, 221, 8 }, },
{ { 187, 229, 4040 },{ 255, 229, 8 },{ 187, 229, 456 },{ 255, 229, 8 }, }, { { 195, 237, 4040 },{ 255, 237, 8 },{ 195, 237, 456 },{ 255, 237, 8 }, },
{ { 24, 80, 566 },{ 24, 80, 560 },{ 24, 0, 9 },{ 24, 0, 8 }, }, { { 32, 88, 566 },{ 32, 88, 560 },{ 32, 0, 9 },{ 32, 0, 8 }, },
{ { 40, 96, 566 },{ 40, 96, 560 },{ 40, 0, 9 },{ 40, 0, 8 }, }, { { 48, 104, 566 },{ 48, 104, 560 },{ 48, 0, 9 },{ 48, 0, 8 }, },
{ { 9, 138, 2758 },{ 130, 7, 1352 },{ 9, 57, 70 },{ 57, 9, 8 }, }, { { 119, 0, 313 },{ 120, 0, 312 },{ 17, 65, 70 },{ 65, 17, 8 }, },
{ { 0, 128, 784 },{ 128, 6, 312 },{ 25, 73, 70 },{ 73, 25, 8 }, }, { { 6, 137, 790 },{ 5, 136, 784 },{ 33, 81, 70 },{ 81, 33, 8 }, },
{ { 42, 171, 2758 },{ 14, 145, 784 },{ 42, 90, 70 },{ 90, 42, 8 }, }, { { 50, 179, 2758 },{ 22, 153, 784 },{ 50, 98, 70 },{ 98, 50, 8 }, },
{ { 58, 187, 2758 },{ 30, 161, 784 },{ 58, 106, 70 },{ 106, 58, 8 }, }, { { 191, 18, 1329 },{ 38, 169, 784 },{ 112, 9, 33 },{ 114, 66, 8 }, },
{ { 176, 0, 239 },{ 47, 178, 784 },{ 121, 18, 33 },{ 123, 75, 8 }, }, { { 187, 1, 239 },{ 55, 186, 784 },{ 129, 26, 33 },{ 131, 83, 8 }, },
{ { 195, 10, 239 },{ 63, 194, 784 },{ 137, 34, 33 },{ 139, 91, 8 }, }, { { 203, 18, 239 },{ 71, 202, 784 },{ 145, 42, 33 },{ 147, 99, 8 }, },
{ { 212, 27, 239 },{ 80, 211, 784 },{ 154, 51, 33 },{ 156, 108, 8 }, }, { { 220, 35, 239 },{ 88, 219, 784 },{ 162, 59, 33 },{ 164, 116, 8 }, },
{ { 228, 43, 239 },{ 96, 227, 784 },{ 170, 67, 33 },{ 172, 124, 8 }, }, { { 236, 51, 239 },{ 104, 235, 784 },{ 178, 75, 33 },{ 180, 132, 8 }, },
{ { 245, 60, 239 },{ 113, 244, 784 },{ 187, 84, 33 },{ 189, 141, 8 }, }, { { 91, 194, 3680 },{ 149, 197, 3648 },{ 195, 92, 33 },{ 197, 149, 8 }, },
{ { 99, 202, 3680 },{ 157, 205, 3648 },{ 203, 100, 33 },{ 205, 157, 8 }, }, { { 107, 210, 3680 },{ 165, 213, 3648 },{ 211, 108, 33 },{ 213, 165, 8 }, },
{ { 119, 249, 3928 },{ 174, 222, 3648 },{ 220, 117, 33 },{ 222, 174, 8 }, }, { { 127, 255, 856 },{ 182, 230, 3648 },{ 228, 125, 33 },{ 230, 182, 8 }, },
{ { 255, 135, 169 },{ 190, 238, 3648 },{ 236, 133, 33 },{ 238, 190, 8 }, }, { { 140, 243, 3680 },{ 198, 246, 3648 },{ 244, 141, 33 },{ 246, 198, 8 }, },
{ { 151, 207, 4040 },{ 255, 207, 8 },{ 151, 207, 456 },{ 255, 207, 8 }, }, { { 159, 215, 4040 },{ 255, 215, 8 },{ 159, 215, 456 },{ 255, 215, 8 }, },
{ { 167, 223, 4040 },{ 255, 223, 8 },{ 167, 223, 456 },{ 255, 223, 8 }, }, { { 175, 231, 4040 },{ 255, 231, 8 },{ 175, 231, 456 },{ 255, 231, 8 }, },
{ { 33, 106, 566 },{ 33, 106, 560 },{ 33, 0, 9 },{ 33, 0, 8 }, }, { { 41, 114, 566 },{ 41, 114, 560 },{ 41, 0, 9 },{ 41, 0, 8 }, },
{ { 49, 122, 566 },{ 49, 122, 560 },{ 49, 0, 9 },{ 49, 0, 8 }, }, { { 57, 130, 566 },{ 57, 130, 560 },{ 57, 0, 9 },{ 57, 0, 8 }, },
{ { 66, 139, 566 },{ 66, 139, 560 },{ 66, 0, 9 },{ 66, 0, 8 }, }, { { 74, 147, 566 },{ 170, 7, 1352 },{ 8, 74, 70 },{ 74, 8, 8 }, },
{ { 152, 0, 313 },{ 178, 15, 1352 },{ 0, 82, 80 },{ 82, 16, 8 }, }, { { 162, 0, 313 },{ 186, 23, 1352 },{ 24, 90, 70 },{ 90, 24, 8 }, },
{ { 0, 171, 784 },{ 195, 32, 1352 },{ 33, 99, 70 },{ 99, 33, 8 }, }, { { 6, 179, 790 },{ 203, 40, 1352 },{ 41, 107, 70 },{ 107, 41, 8 }, },
{ { 15, 187, 790 },{ 211, 48, 1352 },{ 115, 0, 41 },{ 115, 49, 8 }, }, { { 61, 199, 710 },{ 219, 56, 1352 },{ 57, 123, 70 },{ 123, 57, 8 }, },
{ { 70, 208, 710 },{ 228, 65, 1352 },{ 66, 132, 70 },{ 132, 66, 8 }, }, { { 78, 216, 710 },{ 236, 73, 1352 },{ 74, 140, 70 },{ 140, 74, 8 }, },
{ { 86, 224, 710 },{ 244, 81, 1352 },{ 145, 7, 33 },{ 148, 82, 8 }, }, { { 222, 8, 233 },{ 252, 89, 1352 },{ 153, 15, 33 },{ 156, 90, 8 }, },
{ { 235, 0, 239 },{ 241, 101, 328 },{ 166, 6, 39 },{ 165, 99, 8 }, }, { { 32, 170, 3680 },{ 249, 109, 328 },{ 0, 175, 98 },{ 173, 107, 8 }, },
{ { 40, 178, 3680 },{ 115, 181, 3648 },{ 8, 183, 98 },{ 181, 115, 8 }, }, { { 48, 186, 3680 },{ 123, 189, 3648 },{ 16, 191, 98 },{ 189, 123, 8 }, },
{ { 57, 195, 3680 },{ 132, 198, 3648 },{ 25, 200, 98 },{ 198, 132, 8 }, }, { { 67, 243, 3928 },{ 140, 206, 3648 },{ 33, 208, 98 },{ 206, 140, 8 }, },
{ { 76, 251, 3928 },{ 148, 214, 3648 },{ 41, 216, 98 },{ 214, 148, 8 }, }, { { 86, 255, 856 },{ 156, 222, 3648 },{ 49, 224, 98 },{ 222, 156, 8 }, },
{ { 255, 93, 169 },{ 165, 231, 3648 },{ 58, 233, 98 },{ 231, 165, 8 }, }, { { 98, 236, 3680 },{ 173, 239, 3648 },{ 66, 241, 98 },{ 239, 173, 8 }, },
{ { 108, 181, 4040 },{ 181, 247, 3648 },{ 74, 249, 98 },{ 247, 181, 8 }, }, { { 116, 189, 4040 },{ 255, 189, 8 },{ 116, 189, 456 },{ 255, 189, 8 }, },
{ { 125, 198, 4040 },{ 255, 198, 8 },{ 125, 198, 456 },{ 255, 198, 8 }, }, { { 133, 206, 4040 },{ 255, 206, 8 },{ 133, 206, 456 },{ 255, 206, 8 }, },
{ { 141, 214, 4040 },{ 255, 214, 8 },{ 141, 214, 456 },{ 255, 214, 8 }, }, { { 149, 222, 4040 },{ 255, 222, 8 },{ 149, 222, 456 },{ 255, 222, 8 }, },
{ { 47, 183, 566 },{ 47, 183, 560 },{ 47, 0, 9 },{ 47, 0, 8 }, }, { { 55, 191, 566 },{ 55, 191, 560 },{ 55, 0, 9 },{ 55, 0, 8 }, },
{ { 63, 199, 566 },{ 63, 199, 560 },{ 63, 0, 9 },{ 63, 0, 8 }, }, { { 71, 207, 566 },{ 71, 207, 560 },{ 71, 0, 9 },{ 71, 0, 8 }, },
{ { 80, 216, 566 },{ 80, 216, 560 },{ 80, 0, 9 },{ 80, 0, 8 }, }, { { 88, 224, 566 },{ 88, 224, 560 },{ 88, 0, 9 },{ 88, 0, 8 }, },
{ { 3, 233, 710 },{ 3, 233, 704 },{ 2, 96, 70 },{ 96, 2, 8 }, }, { { 11, 241, 710 },{ 11, 241, 704 },{ 10, 104, 70 },{ 104, 10, 8 }, },
{ { 20, 250, 710 },{ 20, 250, 704 },{ 19, 113, 70 },{ 113, 19, 8 }, }, { { 27, 121, 3654 },{ 27, 121, 3648 },{ 27, 121, 70 },{ 121, 27, 8 }, },
{ { 35, 129, 3654 },{ 35, 129, 3648 },{ 35, 129, 70 },{ 129, 35, 8 }, }, { { 43, 137, 3654 },{ 43, 137, 3648 },{ 43, 137, 70 },{ 137, 43, 8 }, },
{ { 52, 146, 3654 },{ 52, 146, 3648 },{ 52, 146, 70 },{ 146, 52, 8 }, }, { { 60, 154, 3654 },{ 60, 154, 3648 },{ 60, 154, 70 },{ 154, 60, 8 }, },
{ { 68, 162, 3654 },{ 68, 162, 3648 },{ 68, 162, 70 },{ 162, 68, 8 }, }, { { 76, 170, 3654 },{ 76, 170, 3648 },{ 76, 170, 70 },{ 170, 76, 8 }, },
{ { 85, 179, 3654 },{ 85, 179, 3648 },{ 85, 179, 70 },{ 179, 85, 8 }, }, { { 93, 187, 3654 },{ 93, 187, 3648 },{ 93, 187, 70 },{ 187, 93, 8 }, },
{ { 101, 195, 3654 },{ 101, 195, 3648 },{ 101, 195, 70 },{ 195, 101, 8 }, }, { { 109, 203, 3654 },{ 109, 203, 3648 },{ 109, 203, 70 },{ 203, 109, 8 }, },
{ { 118, 212, 3654 },{ 118, 212, 3648 },{ 118, 212, 70 },{ 212, 118, 8 }, }, { { 126, 220, 3654 },{ 126, 220, 3648 },{ 126, 220, 70 },{ 220, 126, 8 }, },
{ { 134, 228, 3654 },{ 134, 228, 3648 },{ 134, 228, 70 },{ 228, 134, 8 }, }, { { 5, 236, 3680 },{ 142, 236, 3648 },{ 5, 236, 96 },{ 236, 142, 8 }, },
{ { 14, 245, 3680 },{ 151, 245, 3648 },{ 14, 245, 96 },{ 245, 151, 8 }, }, { { 23, 159, 4040 },{ 159, 253, 3648 },{ 23, 159, 456 },{ 253, 159, 8 }, },
{ { 31, 167, 4040 },{ 255, 167, 8 },{ 31, 167, 456 },{ 255, 167, 8 }, }, { { 39, 175, 4040 },{ 255, 175, 8 },{ 39, 175, 456 },{ 255, 175, 8 }, },
{ { 48, 184, 4040 },{ 255, 184, 8 },{ 48, 184, 456 },{ 255, 184, 8 }, }, { { 56, 192, 4040 },{ 255, 192, 8 },{ 56, 192, 456 },{ 255, 192, 8 }, },
{ { 64, 200, 4040 },{ 255, 200, 8 },{ 64, 200, 456 },{ 255, 200, 8 }, },{ { 72, 208, 4040 },{ 255, 208, 8 },{ 72, 208, 456 },{ 255, 208, 8 }, },
};
struct dxt5a_block
{
uint8_t m_endpoints[2];
enum { cTotalSelectorBytes = 6 };
uint8_t m_selectors[cTotalSelectorBytes];
inline void clear()
{
basisu::clear_obj(*this);
}
inline uint32_t get_low_alpha() const
{
return m_endpoints[0];
}
inline uint32_t get_high_alpha() const
{
return m_endpoints[1];
}
inline void set_low_alpha(uint32_t i)
{
assert(i <= UINT8_MAX);
m_endpoints[0] = static_cast<uint8_t>(i);
}
inline void set_high_alpha(uint32_t i)
{
assert(i <= UINT8_MAX);
m_endpoints[1] = static_cast<uint8_t>(i);
}
inline bool is_alpha6_block() const { return get_low_alpha() <= get_high_alpha(); }
uint32_t get_endpoints_as_word() const { return m_endpoints[0] | (m_endpoints[1] << 8); }
uint32_t get_selectors_as_word(uint32_t index) { assert(index < 3); return m_selectors[index * 2] | (m_selectors[index * 2 + 1] << 8); }
inline uint32_t get_selector(uint32_t x, uint32_t y) const
{
assert((x < 4U) && (y < 4U));
uint32_t selector_index = (y * 4) + x;
uint32_t bit_index = selector_index * cDXT5SelectorBits;
uint32_t byte_index = bit_index >> 3;
uint32_t bit_ofs = bit_index & 7;
uint32_t v = m_selectors[byte_index];
if (byte_index < (cTotalSelectorBytes - 1))
v |= (m_selectors[byte_index + 1] << 8);
return (v >> bit_ofs) & 7;
}
inline void set_selector(uint32_t x, uint32_t y, uint32_t val)
{
assert((x < 4U) && (y < 4U) && (val < 8U));
uint32_t selector_index = (y * 4) + x;
uint32_t bit_index = selector_index * cDXT5SelectorBits;
uint32_t byte_index = bit_index >> 3;
uint32_t bit_ofs = bit_index & 7;
uint32_t v = m_selectors[byte_index];
if (byte_index < (cTotalSelectorBytes - 1))
v |= (m_selectors[byte_index + 1] << 8);
v &= (~(7 << bit_ofs));
v |= (val << bit_ofs);
m_selectors[byte_index] = static_cast<uint8_t>(v);
if (byte_index < (cTotalSelectorBytes - 1))
m_selectors[byte_index + 1] = static_cast<uint8_t>(v >> 8);
}
enum { cMaxSelectorValues = 8 };
static uint32_t get_block_values6(color32* pDst, uint32_t l, uint32_t h)
{
pDst[0].a = static_cast<uint8_t>(l);
pDst[1].a = static_cast<uint8_t>(h);
pDst[2].a = static_cast<uint8_t>((l * 4 + h) / 5);
pDst[3].a = static_cast<uint8_t>((l * 3 + h * 2) / 5);
pDst[4].a = static_cast<uint8_t>((l * 2 + h * 3) / 5);
pDst[5].a = static_cast<uint8_t>((l + h * 4) / 5);
pDst[6].a = 0;
pDst[7].a = 255;
return 6;
}
static uint32_t get_block_values8(color32* pDst, uint32_t l, uint32_t h)
{
pDst[0].a = static_cast<uint8_t>(l);
pDst[1].a = static_cast<uint8_t>(h);
pDst[2].a = static_cast<uint8_t>((l * 6 + h) / 7);
pDst[3].a = static_cast<uint8_t>((l * 5 + h * 2) / 7);
pDst[4].a = static_cast<uint8_t>((l * 4 + h * 3) / 7);
pDst[5].a = static_cast<uint8_t>((l * 3 + h * 4) / 7);
pDst[6].a = static_cast<uint8_t>((l * 2 + h * 5) / 7);
pDst[7].a = static_cast<uint8_t>((l + h * 6) / 7);
return 8;
}
static uint32_t get_block_values(color32* pDst, uint32_t l, uint32_t h)
{
if (l > h)
return get_block_values8(pDst, l, h);
else
return get_block_values6(pDst, l, h);
}
};
static void convert_etc1s_to_dxt5a(dxt5a_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector)
{
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(base_color, inten_table, low_selector, r);
pDst_block->set_low_alpha(r);
pDst_block->set_high_alpha(r);
pDst_block->m_selectors[0] = 0;
pDst_block->m_selectors[1] = 0;
pDst_block->m_selectors[2] = 0;
pDst_block->m_selectors[3] = 0;
pDst_block->m_selectors[4] = 0;
pDst_block->m_selectors[5] = 0;
return;
}
else if (pSelector->m_num_unique_selectors == 2)
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[low_selector].r;
const uint32_t r1 = block_colors[high_selector].r;
pDst_block->set_low_alpha(r0);
pDst_block->set_high_alpha(r1);
// TODO: Optimize this
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
pDst_block->set_selector(x, y, (s == high_selector) ? 1 : 0);
}
}
return;
}
uint32_t selector_range_table = 0;
for (selector_range_table = 0; selector_range_table < NUM_DXT5A_SELECTOR_RANGES; selector_range_table++)
if ((low_selector == s_dxt5a_selector_ranges[selector_range_table].m_low) && (high_selector == s_dxt5a_selector_ranges[selector_range_table].m_high))
break;
if (selector_range_table >= NUM_DXT5A_SELECTOR_RANGES)
selector_range_table = 0;
const etc1_g_to_dxt5a_conversion* pTable_entry = &g_etc1_g_to_dxt5a[base_color.r + inten_table * 32][selector_range_table];
pDst_block->set_low_alpha(pTable_entry->m_lo);
pDst_block->set_high_alpha(pTable_entry->m_hi);
// TODO: Optimize this (like ETC1->BC1)
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t ds = (pTable_entry->m_trans >> (s * 3)) & 7;
pDst_block->set_selector(x, y, ds);
}
}
}
#endif //BASISD_SUPPORT_DXT5A
// PVRTC
#if BASISD_SUPPORT_PVRTC1 || BASISD_SUPPORT_UASTC
static const uint16_t g_pvrtc_swizzle_table[256] =
{
0x0000, 0x0001, 0x0004, 0x0005, 0x0010, 0x0011, 0x0014, 0x0015, 0x0040, 0x0041, 0x0044, 0x0045, 0x0050, 0x0051, 0x0054, 0x0055, 0x0100, 0x0101, 0x0104, 0x0105, 0x0110, 0x0111, 0x0114, 0x0115, 0x0140, 0x0141, 0x0144, 0x0145, 0x0150, 0x0151, 0x0154, 0x0155,
0x0400, 0x0401, 0x0404, 0x0405, 0x0410, 0x0411, 0x0414, 0x0415, 0x0440, 0x0441, 0x0444, 0x0445, 0x0450, 0x0451, 0x0454, 0x0455, 0x0500, 0x0501, 0x0504, 0x0505, 0x0510, 0x0511, 0x0514, 0x0515, 0x0540, 0x0541, 0x0544, 0x0545, 0x0550, 0x0551, 0x0554, 0x0555,
0x1000, 0x1001, 0x1004, 0x1005, 0x1010, 0x1011, 0x1014, 0x1015, 0x1040, 0x1041, 0x1044, 0x1045, 0x1050, 0x1051, 0x1054, 0x1055, 0x1100, 0x1101, 0x1104, 0x1105, 0x1110, 0x1111, 0x1114, 0x1115, 0x1140, 0x1141, 0x1144, 0x1145, 0x1150, 0x1151, 0x1154, 0x1155,
0x1400, 0x1401, 0x1404, 0x1405, 0x1410, 0x1411, 0x1414, 0x1415, 0x1440, 0x1441, 0x1444, 0x1445, 0x1450, 0x1451, 0x1454, 0x1455, 0x1500, 0x1501, 0x1504, 0x1505, 0x1510, 0x1511, 0x1514, 0x1515, 0x1540, 0x1541, 0x1544, 0x1545, 0x1550, 0x1551, 0x1554, 0x1555,
0x4000, 0x4001, 0x4004, 0x4005, 0x4010, 0x4011, 0x4014, 0x4015, 0x4040, 0x4041, 0x4044, 0x4045, 0x4050, 0x4051, 0x4054, 0x4055, 0x4100, 0x4101, 0x4104, 0x4105, 0x4110, 0x4111, 0x4114, 0x4115, 0x4140, 0x4141, 0x4144, 0x4145, 0x4150, 0x4151, 0x4154, 0x4155,
0x4400, 0x4401, 0x4404, 0x4405, 0x4410, 0x4411, 0x4414, 0x4415, 0x4440, 0x4441, 0x4444, 0x4445, 0x4450, 0x4451, 0x4454, 0x4455, 0x4500, 0x4501, 0x4504, 0x4505, 0x4510, 0x4511, 0x4514, 0x4515, 0x4540, 0x4541, 0x4544, 0x4545, 0x4550, 0x4551, 0x4554, 0x4555,
0x5000, 0x5001, 0x5004, 0x5005, 0x5010, 0x5011, 0x5014, 0x5015, 0x5040, 0x5041, 0x5044, 0x5045, 0x5050, 0x5051, 0x5054, 0x5055, 0x5100, 0x5101, 0x5104, 0x5105, 0x5110, 0x5111, 0x5114, 0x5115, 0x5140, 0x5141, 0x5144, 0x5145, 0x5150, 0x5151, 0x5154, 0x5155,
0x5400, 0x5401, 0x5404, 0x5405, 0x5410, 0x5411, 0x5414, 0x5415, 0x5440, 0x5441, 0x5444, 0x5445, 0x5450, 0x5451, 0x5454, 0x5455, 0x5500, 0x5501, 0x5504, 0x5505, 0x5510, 0x5511, 0x5514, 0x5515, 0x5540, 0x5541, 0x5544, 0x5545, 0x5550, 0x5551, 0x5554, 0x5555
};
// Note we can't use simple calculations to convert PVRTC1 encoded endpoint components to/from 8-bits, due to hardware approximations.
static const uint8_t g_pvrtc_5[32] = { 0,8,16,24,33,41,49,57,66,74,82,90,99,107,115,123,132,140,148,156,165,173,181,189,198,206,214,222,231,239,247,255 };
static const uint8_t g_pvrtc_4[16] = { 0,16,33,49,66,82,99,115,140,156,173,189,206,222,239,255 };
static const uint8_t g_pvrtc_3[8] = { 0,33,74,107,148,181,222,255 };
static const uint8_t g_pvrtc_alpha[9] = { 0,34,68,102,136,170,204,238,255 };
static const uint8_t g_pvrtc_5_floor[256] =
{
0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,
3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,
7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,
11,11,11,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,15,15,15,15,15,
15,15,15,15,16,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,19,19,19,19,
19,19,19,19,19,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,23,23,23,
23,23,23,23,23,23,24,24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,27,27,
27,27,27,27,27,27,27,28,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,31
};
static const uint8_t g_pvrtc_5_ceil[256] =
{
0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,
4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,8,8,
8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,12,12,12,12,12,
12,12,12,12,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,16,16,16,16,
16,16,16,16,16,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,19,19,19,19,19,19,19,19,20,20,20,
20,20,20,20,20,20,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,23,23,23,23,23,23,23,23,24,24,
24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,27,27,27,27,27,27,27,27,28,
28,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,31,31,31,31,31,31,31,31
};
static const uint8_t g_pvrtc_4_floor[256] =
{
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,
11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13,13,
13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,15
};
static const uint8_t g_pvrtc_4_ceil[256] =
{
0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,
14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15
};
static const uint8_t g_pvrtc_3_floor[256] =
{
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7
};
static const uint8_t g_pvrtc_3_ceil[256] =
{
0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7
};
static const uint8_t g_pvrtc_alpha_floor[256] =
{
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8
};
static const uint8_t g_pvrtc_alpha_ceil[256] =
{
0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8
};
struct pvrtc4_block
{
uint32_t m_modulation;
uint32_t m_endpoints;
pvrtc4_block() : m_modulation(0), m_endpoints(0) { }
inline bool operator== (const pvrtc4_block& rhs) const
{
return (m_modulation == rhs.m_modulation) && (m_endpoints == rhs.m_endpoints);
}
inline void clear()
{
m_modulation = 0;
m_endpoints = 0;
}
inline bool get_block_uses_transparent_modulation() const
{
return (m_endpoints & 1) != 0;
}
inline void set_block_uses_transparent_modulation(bool m)
{
m_endpoints = (m_endpoints & ~1U) | static_cast<uint32_t>(m);
}
inline bool is_endpoint_opaque(uint32_t endpoint_index) const
{
static const uint32_t s_bitmasks[2] = { 0x8000U, 0x80000000U };
return (m_endpoints & s_bitmasks[basisu::open_range_check(endpoint_index, 2U)]) != 0;
}
inline void set_endpoint_opaque(uint32_t endpoint_index, bool opaque)
{
assert(endpoint_index < 2);
static const uint32_t s_bitmasks[2] = { 0x8000U, 0x80000000U };
if (opaque)
m_endpoints |= s_bitmasks[endpoint_index];
else
m_endpoints &= ~s_bitmasks[endpoint_index];
}
inline color32 get_endpoint_5554(uint32_t endpoint_index) const
{
assert(endpoint_index < 2);
static const uint32_t s_endpoint_mask[2] = { 0xFFFE, 0xFFFF };
uint32_t packed = (m_endpoints >> (basisu::open_range_check(endpoint_index, 2U) ? 16 : 0)) & s_endpoint_mask[endpoint_index];
uint32_t r, g, b, a;
if (packed & 0x8000)
{
// opaque 554 or 555
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
if (!endpoint_index)
b |= (b >> 4);
a = 0xF;
}
else
{
// translucent 4433 or 4443
r = (packed >> 7) & 0x1E;
g = (packed >> 3) & 0x1E;
b = (packed & 0xF) << 1;
r |= (r >> 4);
g |= (g >> 4);
if (!endpoint_index)
b |= (b >> 3);
else
b |= (b >> 4);
a = (packed >> 11) & 0xE;
}
assert((r < 32) && (g < 32) && (b < 32) && (a < 16));
return color32(r, g, b, a);
}
inline color32 get_endpoint_8888(uint32_t endpoint_index) const
{
assert(endpoint_index < 2);
static const uint32_t s_endpoint_mask[2] = { 0xFFFE, 0xFFFF };
uint32_t packed = (m_endpoints >> (basisu::open_range_check(endpoint_index, 2U) ? 16 : 0)) & s_endpoint_mask[endpoint_index];
uint32_t r, g, b, a;
if (packed & 0x8000)
{
// opaque 554 or 555
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
r = g_pvrtc_5[r];
g = g_pvrtc_5[g];
if (!endpoint_index)
b = g_pvrtc_4[b >> 1];
else
b = g_pvrtc_5[b];
a = 255;
}
else
{
// translucent 4433 or 4443
// 0AAA RRRR GGGG BBBM
// 0AAA RRRR GGGG BBBB
r = (packed >> 8) & 0xF;
g = (packed >> 4) & 0xF;
b = packed & 0xF;
a = (packed >> 12) & 7;
r = g_pvrtc_4[r];
g = g_pvrtc_4[g];
if (!endpoint_index)
b = g_pvrtc_3[b >> 1];
else
b = g_pvrtc_4[b];
a = g_pvrtc_alpha[a];
}
return color32(r, g, b, a);
}
inline uint32_t get_endpoint_l8(uint32_t endpoint_index) const
{
color32 c(get_endpoint_8888(endpoint_index));
return c.r + c.g + c.b + c.a;
}
inline uint32_t get_opaque_endpoint_l0() const
{
uint32_t packed = m_endpoints & 0xFFFE;
uint32_t r, g, b;
assert(packed & 0x8000);
// opaque 554 or 555
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
b |= (b >> 4);
return r + g + b;
}
inline uint32_t get_opaque_endpoint_l1() const
{
uint32_t packed = m_endpoints >> 16;
uint32_t r, g, b;
assert(packed & 0x8000);
// opaque 554 or 555
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
return r + g + b;
}
static uint32_t get_component_precision_in_bits(uint32_t c, uint32_t endpoint_index, bool opaque_endpoint)
{
static const uint32_t s_comp_prec[4][4] =
{
// R0 G0 B0 A0 R1 G1 B1 A1
{ 4, 4, 3, 3 },{ 4, 4, 4, 3 }, // transparent endpoint
{ 5, 5, 4, 0 },{ 5, 5, 5, 0 } // opaque endpoint
};
return s_comp_prec[basisu::open_range_check(endpoint_index, 2U) + (opaque_endpoint * 2)][basisu::open_range_check(c, 4U)];
}
static color32 get_color_precision_in_bits(uint32_t endpoint_index, bool opaque_endpoint)
{
static const color32 s_color_prec[4] =
{
color32(4, 4, 3, 3), color32(4, 4, 4, 3), // transparent endpoint
color32(5, 5, 4, 0), color32(5, 5, 5, 0) // opaque endpoint
};
return s_color_prec[basisu::open_range_check(endpoint_index, 2U) + (opaque_endpoint * 2)];
}
inline void set_opaque_endpoint_floor(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
const uint32_t m = m_endpoints & 1;
uint32_t r = g_pvrtc_5_floor[c[0]], g = g_pvrtc_5_floor[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_floor[b] << 1;
else
b = g_pvrtc_5_floor[b];
// rgba=555 here
assert((r < 32) && (g < 32) && (b < 32));
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
// opaque 554 or 555
uint32_t packed = 0x8000 | (r << 10) | (g << 5) | b;
if (!endpoint_index)
packed = (packed & ~1) | m;
assert(packed <= 0xFFFF);
if (endpoint_index)
m_endpoints = (m_endpoints & 0xFFFFU) | (packed << 16);
else
m_endpoints = (m_endpoints & 0xFFFF0000U) | packed;
}
inline void set_opaque_endpoint_ceil(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
const uint32_t m = m_endpoints & 1;
uint32_t r = g_pvrtc_5_ceil[c[0]], g = g_pvrtc_5_ceil[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_ceil[b] << 1;
else
b = g_pvrtc_5_ceil[b];
// rgba=555 here
assert((r < 32) && (g < 32) && (b < 32));
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
// opaque 554 or 555
uint32_t packed = 0x8000 | (r << 10) | (g << 5) | b;
if (!endpoint_index)
packed |= m;
assert(packed <= 0xFFFF);
if (endpoint_index)
m_endpoints = (m_endpoints & 0xFFFFU) | (packed << 16);
else
m_endpoints = (m_endpoints & 0xFFFF0000U) | packed;
}
// opaque endpoints: 554 or 555
// transparent endpoints: 3443 or 3444
inline void set_endpoint_raw(uint32_t endpoint_index, const color32& c, bool opaque_endpoint)
{
assert(endpoint_index < 2);
const uint32_t m = m_endpoints & 1;
uint32_t r = c[0], g = c[1], b = c[2], a = c[3];
uint32_t packed;
if (opaque_endpoint)
{
if (!endpoint_index)
{
// 554
// 1RRRRRGGGGGBBBBM
assert((r < 32) && (g < 32) && (b < 16));
packed = 0x8000 | (r << 10) | (g << 5) | (b << 1) | m;
}
else
{
// 555
// 1RRRRRGGGGGBBBBB
assert((r < 32) && (g < 32) && (b < 32));
packed = 0x8000 | (r << 10) | (g << 5) | b;
}
}
else
{
if (!endpoint_index)
{
// 3443
// 0AAA RRRR GGGG BBBM
assert((r < 16) && (g < 16) && (b < 8) && (a < 8));
packed = (a << 12) | (r << 8) | (g << 4) | (b << 1) | m;
}
else
{
// 3444
// 0AAA RRRR GGGG BBBB
assert((r < 16) && (g < 16) && (b < 16) && (a < 8));
packed = (a << 12) | (r << 8) | (g << 4) | b;
}
}
assert(packed <= 0xFFFF);
if (endpoint_index)
m_endpoints = (m_endpoints & 0xFFFFU) | (packed << 16);
else
m_endpoints = (m_endpoints & 0xFFFF0000U) | packed;
}
inline void set_endpoint_floor(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
int a = g_pvrtc_alpha_floor[c.a];
if (a == 8)
{
// 554 or 555
uint32_t r = g_pvrtc_5_floor[c[0]], g = g_pvrtc_5_floor[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_floor[b];
else
b = g_pvrtc_5_floor[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), true);
}
else
{
// 4433 or 4443
uint32_t r = g_pvrtc_4_floor[c[0]], g = g_pvrtc_4_floor[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_3_floor[b];
else
b = g_pvrtc_4_floor[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), false);
}
}
inline void set_endpoint_ceil(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
int a = g_pvrtc_alpha_ceil[c.a];
if (a == 8)
{
// 554 or 555
uint32_t r = g_pvrtc_5_ceil[c[0]], g = g_pvrtc_5_ceil[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_ceil[b];
else
b = g_pvrtc_5_ceil[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), true);
}
else
{
// 4433 or 4443
uint32_t r = g_pvrtc_4_ceil[c[0]], g = g_pvrtc_4_ceil[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_3_ceil[b];
else
b = g_pvrtc_4_ceil[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), false);
}
}
inline uint32_t get_modulation(uint32_t x, uint32_t y) const
{
assert((x < 4) && (y < 4));
return (m_modulation >> ((y * 4 + x) * 2)) & 3;
}
// Scaled by 8
inline const uint32_t* get_scaled_modulation_values(bool block_uses_transparent_modulation) const
{
static const uint32_t s_block_scales[2][4] = { { 0, 3, 5, 8 },{ 0, 4, 4, 8 } };
return s_block_scales[block_uses_transparent_modulation];
}
// Scaled by 8
inline uint32_t get_scaled_modulation(uint32_t x, uint32_t y) const
{
return get_scaled_modulation_values(get_block_uses_transparent_modulation())[get_modulation(x, y)];
}
inline void set_modulation(uint32_t x, uint32_t y, uint32_t s)
{
assert((x < 4) && (y < 4) && (s < 4));
uint32_t n = (y * 4 + x) * 2;
m_modulation = (m_modulation & (~(3 << n))) | (s << n);
assert(get_modulation(x, y) == s);
}
// Assumes modulation was initialized to 0
inline void set_modulation_fast(uint32_t x, uint32_t y, uint32_t s)
{
assert((x < 4) && (y < 4) && (s < 4));
uint32_t n = (y * 4 + x) * 2;
m_modulation |= (s << n);
assert(get_modulation(x, y) == s);
}
};
#if 0
static const uint8_t g_pvrtc_bilinear_weights[16][4] =
{
{ 4, 4, 4, 4 }, { 2, 6, 2, 6 }, { 8, 0, 8, 0 }, { 6, 2, 6, 2 },
{ 2, 2, 6, 6 }, { 1, 3, 3, 9 }, { 4, 0, 12, 0 }, { 3, 1, 9, 3 },
{ 8, 8, 0, 0 }, { 4, 12, 0, 0 }, { 16, 0, 0, 0 }, { 12, 4, 0, 0 },
{ 6, 6, 2, 2 }, { 3, 9, 1, 3 }, { 12, 0, 4, 0 }, { 9, 3, 3, 1 },
};
#endif
struct pvrtc1_temp_block
{
decoder_etc_block m_etc1_block;
uint32_t m_pvrtc_endpoints;
};
static inline uint32_t get_opaque_endpoint_l0(uint32_t endpoints)
{
uint32_t packed = endpoints;
uint32_t r, g, b;
assert(packed & 0x8000);
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 30;
b |= (b >> 4);
return r + g + b;
}
static inline uint32_t get_opaque_endpoint_l1(uint32_t endpoints)
{
uint32_t packed = endpoints >> 16;
uint32_t r, g, b;
assert(packed & 0x8000);
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
return r + g + b;
}
static color32 get_endpoint_8888(uint32_t endpoints, uint32_t endpoint_index)
{
assert(endpoint_index < 2);
static const uint32_t s_endpoint_mask[2] = { 0xFFFE, 0xFFFF };
uint32_t packed = (endpoints >> (basisu::open_range_check(endpoint_index, 2U) ? 16 : 0)) & s_endpoint_mask[endpoint_index];
uint32_t r, g, b, a;
if (packed & 0x8000)
{
// opaque 554 or 555
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
r = g_pvrtc_5[r];
g = g_pvrtc_5[g];
if (!endpoint_index)
b = g_pvrtc_4[b >> 1];
else
b = g_pvrtc_5[b];
a = 255;
}
else
{
// translucent 4433 or 4443
// 0AAA RRRR GGGG BBBM
// 0AAA RRRR GGGG BBBB
r = (packed >> 8) & 0xF;
g = (packed >> 4) & 0xF;
b = packed & 0xF;
a = (packed >> 12) & 7;
r = g_pvrtc_4[r];
g = g_pvrtc_4[g];
if (!endpoint_index)
b = g_pvrtc_3[b >> 1];
else
b = g_pvrtc_4[b];
a = g_pvrtc_alpha[a];
}
return color32(r, g, b, a);
}
static uint32_t get_endpoint_l8(uint32_t endpoints, uint32_t endpoint_index)
{
color32 c(get_endpoint_8888(endpoints, endpoint_index));
return c.r + c.g + c.b + c.a;
}
#endif
#if BASISD_SUPPORT_PVRTC1
// TODO: Support decoding a non-pow2 ETC1S texture into the next larger pow2 PVRTC texture.
static void fixup_pvrtc1_4_modulation_rgb(const decoder_etc_block* pETC_Blocks, const uint32_t* pPVRTC_endpoints, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31;
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31;
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const decoder_etc_block& src_block = pETC_Blocks[block_index];
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
uint32_t base_r = g_etc_5_to_8[src_block.m_differential.m_red1];
uint32_t base_g = g_etc_5_to_8[src_block.m_differential.m_green1];
uint32_t base_b = g_etc_5_to_8[src_block.m_differential.m_blue1];
const int* pInten_table48 = g_etc1_inten_tables48[src_block.m_differential.m_cw1];
int by = (base_r + base_g + base_b) * 16;
int block_colors_y_x16[4];
block_colors_y_x16[0] = by + pInten_table48[2];
block_colors_y_x16[1] = by + pInten_table48[3];
block_colors_y_x16[2] = by + pInten_table48[1];
block_colors_y_x16[3] = by + pInten_table48[0];
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31; \
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31; \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
uint32_t lookup_x[4];
#define DO_LOOKUP(lx) { \
const uint32_t byte_ofs = 7 - (((lx) * 4) >> 3); \
const uint32_t lsb_bits = src_block.m_bytes[byte_ofs] >> (((lx) & 1) * 4); \
const uint32_t msb_bits = src_block.m_bytes[byte_ofs - 2] >> (((lx) & 1) * 4); \
lookup_x[lx] = (lsb_bits & 0xF) | ((msb_bits & 0xF) << 4); }
DO_LOOKUP(0);
DO_LOOKUP(1);
DO_LOOKUP(2);
DO_LOOKUP(3);
#undef DO_LOOKUP
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = block_colors_y_x16[g_etc1_x_selector_unpack[ly][lookup_x[lx]]]; \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
static void fixup_pvrtc1_4_modulation_rgba(
const decoder_etc_block* pETC_Blocks,
const uint32_t* pPVRTC_endpoints,
void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, void *pAlpha_blocks,
const endpoint* pEndpoints, const selector* pSelectors)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = get_endpoint_l8(e, 0);
e1[ex][ey] = get_endpoint_l8(e, 1);
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const decoder_etc_block& src_block = pETC_Blocks[block_index];
const uint16_t* pSrc_alpha_block = reinterpret_cast<const uint16_t*>(static_cast<const uint32_t*>(pAlpha_blocks) + x + (y * num_blocks_x));
const endpoint* pAlpha_endpoints = &pEndpoints[pSrc_alpha_block[0]];
const selector* pAlpha_selectors = &pSelectors[pSrc_alpha_block[1]];
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
uint32_t base_r = g_etc_5_to_8[src_block.m_differential.m_red1];
uint32_t base_g = g_etc_5_to_8[src_block.m_differential.m_green1];
uint32_t base_b = g_etc_5_to_8[src_block.m_differential.m_blue1];
const int* pInten_table48 = g_etc1_inten_tables48[src_block.m_differential.m_cw1];
int by = (base_r + base_g + base_b) * 16;
int block_colors_y_x16[4];
block_colors_y_x16[0] = basisu::clamp<int>(by + pInten_table48[0], 0, 48 * 255);
block_colors_y_x16[1] = basisu::clamp<int>(by + pInten_table48[1], 0, 48 * 255);
block_colors_y_x16[2] = basisu::clamp<int>(by + pInten_table48[2], 0, 48 * 255);
block_colors_y_x16[3] = basisu::clamp<int>(by + pInten_table48[3], 0, 48 * 255);
uint32_t alpha_base_g = g_etc_5_to_8[pAlpha_endpoints->m_color5.g] * 16;
const int* pInten_table16 = g_etc1_inten_tables16[pAlpha_endpoints->m_inten5];
int alpha_block_colors_x16[4];
alpha_block_colors_x16[0] = basisu::clamp<int>(alpha_base_g + pInten_table16[0], 0, 16 * 255);
alpha_block_colors_x16[1] = basisu::clamp<int>(alpha_base_g + pInten_table16[1], 0, 16 * 255);
alpha_block_colors_x16[2] = basisu::clamp<int>(alpha_base_g + pInten_table16[2], 0, 16 * 255);
alpha_block_colors_x16[3] = basisu::clamp<int>(alpha_base_g + pInten_table16[3], 0, 16 * 255);
// clamp((base_r + base_g + base_b) * 16 + color_inten[s] * 48) + clamp(alpha_base_g * 16 + alpha_inten[as] * 16)
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = get_endpoint_l8(e, 0); \
e1[ex][ey] = get_endpoint_l8(e, 1); \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = block_colors_y_x16[(src_block.m_bytes[4 + ly] >> (lx * 2)) & 3] + alpha_block_colors_x16[(pAlpha_selectors->m_selectors[ly] >> (lx * 2)) & 3]; \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
#endif // BASISD_SUPPORT_PVRTC1
#if BASISD_SUPPORT_BC7_MODE5
static dxt_selector_range g_etc1_to_bc7_m5_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES = sizeof(g_etc1_to_bc7_m5_selector_ranges) / sizeof(g_etc1_to_bc7_m5_selector_ranges[0]);
static uint32_t g_etc1_to_bc7_m5_selector_range_index[4][4];
const uint32_t NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1_to_bc7_m5_selector_mappings[NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 },
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
struct etc1_to_bc7_m5_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
static const etc1_to_bc7_m5_solution g_etc1_to_bc7_m5_color[32 * 8 * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS * NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_bc7_m5_color.inc ****/
{0,7,18},{0,5,2},{0,4,1},{0,3,8},{0,4,35},{0,3,24},{0,3,12},{0,2,29},{0,2,36},{0,2,30},{0,7,18},{0,5,2},{0,4,1},{0,3,8},{2,0,35},{0,3,24},{0,3,12},{0,2,29},{4,0,35},{0,2,29},{0,3,0},{0,3,0},{0,3,0},{0,1,1},{0,1,2},{0,1,2},{0,1,2},{0,1,1},{1,0,3},{0,1,2},{0,3,0},
{0,3,0},{0,3,0},{0,1,1},{1,0,2},{1,0,2},{1,0,2},{0,1,1},{1,0,2},{0,1,1},{4,0,18},{0,5,2},{0,4,1},{0,3,8},{4,0,18},{7,0,18},{0,3,8},{0,2,20},{7,0,18},{0,2,20},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,15,38},{2,11,20},{2,8,24},
{1,8,21},{0,16,51},{0,10,19},{0,8,2},{0,6,24},{0,8,76},{0,6,40},{3,13,18},{3,10,2},{3,8,1},{3,7,5},{8,0,51},{1,9,19},{0,8,2},{0,6,24},{16,0,51},{0,6,24},{2,11,20},{2,11,20},{2,11,20},{1,7,20},{0,12,8},{0,7,2},{0,7,2},{0,5,1},{0,5,19},{0,5,10},{3,9,0},{3,9,0},{3,9,0},{3,6,0},{6,0,8},
{1,7,0},{1,7,0},{0,5,1},{12,0,8},{0,5,1},{10,0,18},{2,11,0},{3,8,1},{0,8,1},{10,0,18},{20,0,18},{0,8,1},{0,6,20},{20,0,18},{0,6,20},{1,0,20},{1,0,20},{1,0,20},{1,0,20},{0,9,0},{0,9,0},{0,9,0},{0,4,1},{0,3,8},{0,3,8},{6,19,38},{6,15,20},{6,12,24},{5,12,21},{4,20,51},{4,14,19},{4,12,2},
{4,10,24},{0,14,52},{1,10,20},{7,17,18},{7,14,2},{7,12,1},{7,11,5},{14,0,51},{5,13,19},{4,12,2},{1,10,20},{29,0,51},{1,10,20},{6,15,20},{6,15,20},{6,15,20},{5,11,20},{4,16,8},{4,11,2},{4,11,2},{4,9,1},{0,12,8},{1,9,2},{7,13,0},{7,13,0},{7,13,0},{7,10,0},{12,0,8},{5,11,0},{5,11,0},{3,9,0},{24,0,8},
{3,9,0},{15,1,18},{6,15,0},{7,12,1},{3,12,0},{15,1,18},{32,0,18},{3,12,0},{0,10,20},{32,0,18},{0,10,20},{5,0,20},{5,0,20},{5,0,20},{5,0,20},{4,13,0},{4,13,0},{4,13,0},{4,8,1},{1,10,0},{1,10,0},{10,23,38},{10,19,20},{10,16,24},{9,16,21},{8,24,51},{8,18,19},{8,16,2},{8,14,24},{3,18,52},{5,14,20},{11,21,18},
{11,18,2},{11,16,1},{11,15,5},{20,0,51},{9,17,19},{8,16,2},{5,14,20},{41,0,51},{5,14,20},{10,19,20},{10,19,20},{10,19,20},{9,15,20},{8,20,8},{8,15,2},{8,15,2},{8,13,1},{4,16,8},{5,13,2},{11,17,0},{11,17,0},{11,17,0},{11,14,0},{18,0,8},{9,15,0},{9,15,0},{7,13,0},{36,0,8},{7,13,0},{21,1,18},{10,19,0},{11,16,1},
{7,16,0},{21,1,18},{44,0,18},{7,16,0},{0,14,20},{44,0,18},{0,14,20},{9,0,20},{9,0,20},{9,0,20},{9,0,20},{8,17,0},{8,17,0},{8,17,0},{8,12,1},{5,14,0},{5,14,0},{14,29,36},{14,24,18},{14,21,23},{14,20,20},{13,28,52},{13,22,20},{13,20,2},{12,19,23},{7,23,51},{9,19,18},{16,25,19},{15,23,1},{16,20,2},{15,20,6},{27,0,51},
{13,22,19},{13,20,1},{8,19,18},{55,0,51},{8,19,18},{14,24,18},{14,24,18},{14,24,18},{14,19,18},{13,23,9},{13,20,1},{13,20,1},{12,17,2},{9,20,8},{10,18,1},{16,20,1},{16,20,1},{16,20,1},{16,18,1},{24,1,8},{14,19,0},{14,19,0},{12,17,1},{50,0,8},{12,17,1},{28,0,18},{15,23,0},{16,20,1},{12,20,1},{28,0,18},{58,0,18},{12,20,1},
{0,19,18},{58,0,18},{0,19,18},{14,0,18},{14,0,18},{14,0,18},{14,0,18},{13,20,1},{13,20,1},{13,20,1},{12,17,1},{10,18,0},{10,18,0},{18,33,36},{18,28,18},{18,25,23},{18,24,20},{17,32,52},{17,26,20},{17,24,2},{16,23,23},{11,27,51},{13,23,18},{20,29,19},{19,27,1},{20,24,2},{19,24,6},{33,0,51},{17,26,19},{17,24,1},{12,23,18},{66,0,51},
{12,23,18},{18,28,18},{18,28,18},{18,28,18},{18,23,18},{17,27,9},{17,24,1},{17,24,1},{16,21,2},{13,24,8},{14,22,1},{20,24,1},{20,24,1},{20,24,1},{20,22,1},{30,1,8},{18,23,0},{18,23,0},{16,21,1},{62,0,8},{16,21,1},{34,0,18},{19,27,0},{20,24,1},{16,24,1},{34,0,18},{69,0,18},{16,24,1},{0,23,18},{69,0,18},{0,23,18},{18,0,18},
{18,0,18},{18,0,18},{18,0,18},{17,24,1},{17,24,1},{17,24,1},{16,21,1},{14,22,0},{14,22,0},{22,37,36},{22,32,18},{22,29,23},{22,28,20},{21,36,52},{21,30,20},{21,28,2},{20,27,23},{15,31,51},{17,27,18},{24,33,19},{23,31,1},{24,28,2},{23,28,6},{39,0,51},{21,30,19},{21,28,1},{16,27,18},{78,0,51},{16,27,18},{22,32,18},{22,32,18},{22,32,18},
{22,27,18},{21,31,9},{21,28,1},{21,28,1},{20,25,2},{17,28,8},{18,26,1},{24,28,1},{24,28,1},{24,28,1},{24,26,1},{36,1,8},{22,27,0},{22,27,0},{20,25,1},{74,0,8},{20,25,1},{40,0,18},{23,31,0},{24,28,1},{20,28,1},{40,0,18},{82,0,18},{20,28,1},{0,27,18},{82,0,18},{0,27,18},{22,0,18},{22,0,18},{22,0,18},{22,0,18},{21,28,1},
{21,28,1},{21,28,1},{20,25,1},{18,26,0},{18,26,0},{26,41,36},{26,36,18},{26,33,23},{26,32,20},{25,40,52},{25,34,20},{25,32,2},{24,31,23},{19,35,51},{21,31,18},{28,37,19},{27,35,1},{28,32,2},{27,32,6},{45,0,51},{25,34,19},{25,32,1},{20,31,18},{91,0,51},{20,31,18},{26,36,18},{26,36,18},{26,36,18},{26,31,18},{25,35,9},{25,32,1},{25,32,1},
{24,29,2},{21,32,8},{22,30,1},{28,32,1},{28,32,1},{28,32,1},{28,30,1},{42,1,8},{26,31,0},{26,31,0},{24,29,1},{86,0,8},{24,29,1},{46,0,18},{27,35,0},{28,32,1},{24,32,1},{46,0,18},{94,0,18},{24,32,1},{0,31,18},{94,0,18},{0,31,18},{26,0,18},{26,0,18},{26,0,18},{26,0,18},{25,32,1},{25,32,1},{25,32,1},{24,29,1},{22,30,0},
{22,30,0},{31,44,38},{31,40,20},{31,37,24},{30,37,21},{29,45,51},{29,39,19},{29,37,2},{29,35,24},{24,39,52},{26,35,20},{32,42,18},{32,39,2},{32,37,1},{32,36,5},{51,0,51},{30,38,19},{29,37,2},{26,35,20},{104,0,51},{26,35,20},{31,40,20},{31,40,20},{31,40,20},{30,36,20},{29,41,8},{29,36,2},{29,36,2},{29,34,1},{25,37,8},{26,34,2},{32,38,0},
{32,38,0},{32,38,0},{32,35,0},{49,0,8},{30,36,0},{30,36,0},{28,34,0},{100,0,8},{28,34,0},{53,0,18},{31,40,0},{32,37,1},{28,37,0},{53,0,18},{107,0,18},{28,37,0},{0,35,20},{107,0,18},{0,35,20},{30,0,20},{30,0,20},{30,0,20},{30,0,20},{29,38,0},{29,38,0},{29,38,0},{29,33,1},{26,35,0},{26,35,0},{35,48,38},{35,44,20},{35,41,24},
{34,41,21},{33,49,51},{33,43,19},{33,41,2},{33,39,24},{28,43,52},{30,39,20},{36,46,18},{36,43,2},{36,41,1},{36,40,5},{57,0,51},{34,42,19},{33,41,2},{30,39,20},{117,0,51},{30,39,20},{35,44,20},{35,44,20},{35,44,20},{34,40,20},{33,45,8},{33,40,2},{33,40,2},{33,38,1},{29,41,8},{30,38,2},{36,42,0},{36,42,0},{36,42,0},{36,39,0},{55,0,8},
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{119,126,1},{119,126,1},{119,123,1},{116,125,0},{116,125,0},{125,126,38},{125,127,30},{125,127,29},{125,127,21},{125,126,35},{124,127,16},{124,127,12},{123,127,1},{122,127,20},{122,127,2},{126,127,2},{126,127,2},{126,127,1},{126,127,1},{127,125,3},{127,126,3},{125,127,2},{124,127,0},{127,126,3},{124,127,0},{125,126,29},{125,126,29},{125,126,29},{125,127,21},{124,127,24},{124,127,12},{124,127,12},
{123,127,1},{122,127,11},{122,127,2},{126,127,1},{126,127,1},{126,127,1},{126,127,1},{127,125,2},{127,126,2},{127,126,2},{124,127,0},{127,126,2},{124,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{124,0,20},{124,0,20},{124,0,20},{124,0,20},{124,127,8},{124,127,8},{124,127,8},{123,127,1},{122,127,2},
{122,127,2},{0,16,72},{0,11,8},{0,8,1},{0,7,25},{0,10,153},{0,8,97},{0,6,50},{0,4,115},{0,5,162},{0,4,124},{0,16,72},{0,11,8},{0,8,1},{0,7,25},{5,0,153},{0,8,97},{0,6,50},{0,4,115},{10,0,153},{0,4,115},{0,7,0},{0,7,0},{0,7,0},{0,4,0},{0,3,13},{0,2,5},{0,2,5},{0,1,10},{0,2,14},{0,1,11},{0,7,0},
{0,7,0},{0,7,0},{0,4,0},{2,0,13},{0,2,5},{0,2,5},{0,1,10},{3,0,13},{0,1,10},{8,0,72},{0,11,8},{0,8,1},{0,7,25},{8,0,72},{16,0,72},{0,7,25},{0,5,74},{16,0,72},{0,5,74},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,27,77},{1,18,5},{1,13,15},
{1,11,18},{0,21,243},{0,14,108},{0,11,29},{0,8,154},{0,9,287},{0,8,179},{2,25,73},{1,18,1},{2,12,6},{1,11,14},{10,1,243},{0,14,108},{0,11,29},{0,8,154},{21,0,243},{0,8,154},{1,17,5},{1,17,5},{1,17,5},{1,9,5},{0,12,50},{0,8,8},{0,8,8},{0,5,25},{0,5,61},{0,5,34},{2,15,1},{2,15,1},{2,15,1},{1,9,1},{6,0,50},
{0,8,8},{0,8,8},{0,5,25},{12,0,50},{0,5,25},{14,0,72},{1,18,0},{4,12,1},{0,12,10},{14,0,72},{29,0,72},{0,12,10},{0,9,74},{29,0,72},{0,9,74},{1,0,5},{1,0,5},{1,0,5},{1,0,5},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,2,1},{0,2,1},{3,35,133},{3,24,63},{4,17,90},{3,16,66},{0,33,243},{0,19,75},{0,16,2},
{0,13,110},{0,14,345},{0,12,179},{6,29,73},{5,22,1},{6,16,6},{5,15,14},{16,0,243},{0,19,75},{0,16,2},{0,13,110},{33,0,243},{0,13,110},{3,26,61},{3,26,61},{3,26,61},{3,14,61},{0,24,50},{0,16,1},{0,16,1},{0,10,5},{0,11,101},{0,9,46},{6,19,1},{6,19,1},{6,19,1},{5,13,1},{12,0,50},{1,15,0},{1,15,0},{0,10,5},{24,0,50},
{0,10,5},{20,0,72},{5,22,0},{8,16,1},{0,16,2},{20,0,72},{41,0,72},{0,16,2},{0,13,74},{41,0,72},{0,13,74},{3,0,61},{3,0,61},{3,0,61},{3,0,61},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{0,5,25},{0,5,25},{7,39,146},{7,28,76},{8,21,107},{6,20,79},{4,37,244},{4,23,76},{4,20,3},{3,16,107},{0,22,292},{0,17,106},{10,33,73},
{9,26,1},{10,20,6},{9,19,14},{22,0,243},{2,25,72},{4,20,2},{0,17,90},{45,0,243},{0,17,90},{7,30,74},{7,30,74},{7,30,74},{7,18,74},{4,28,51},{4,20,2},{4,20,2},{3,14,6},{0,17,68},{0,14,5},{10,23,1},{10,23,1},{10,23,1},{9,17,1},{18,0,50},{5,19,0},{5,19,0},{0,14,1},{36,0,50},{0,14,1},{26,0,72},{9,26,0},{12,20,1},
{3,20,1},{26,0,72},{53,0,72},{3,20,1},{0,17,74},{53,0,72},{0,17,74},{6,0,74},{6,0,74},{6,0,74},{6,0,74},{4,20,1},{4,20,1},{4,20,1},{4,12,1},{0,14,4},{0,14,4},{11,44,144},{11,32,76},{12,25,105},{11,24,77},{8,43,243},{8,28,75},{8,25,2},{8,21,105},{0,28,248},{1,22,76},{14,38,72},{14,30,1},{15,25,5},{14,24,13},{29,0,243},
{7,29,72},{8,25,2},{0,22,76},{59,0,243},{0,22,76},{11,35,72},{11,35,72},{11,35,72},{11,23,72},{8,34,50},{8,24,1},{8,24,1},{8,18,5},{1,24,51},{3,19,1},{14,29,0},{14,29,0},{14,29,0},{14,21,1},{24,1,50},{9,24,0},{9,24,0},{3,19,0},{50,0,50},{3,19,0},{33,0,72},{13,31,0},{16,25,0},{6,25,0},{33,0,72},{66,0,72},{6,25,0},
{0,22,72},{66,0,72},{0,22,72},{11,0,72},{11,0,72},{11,0,72},{11,0,72},{8,26,0},{8,26,0},{8,26,0},{8,17,0},{2,20,0},{2,20,0},{15,48,144},{15,36,76},{16,29,105},{15,28,77},{12,47,243},{12,32,75},{12,29,2},{12,25,105},{2,33,244},{5,26,76},{18,42,72},{18,34,1},{19,29,5},{18,28,13},{35,0,243},{11,33,72},{12,29,2},{1,26,72},{71,0,243},
{1,26,72},{15,39,72},{15,39,72},{15,39,72},{15,27,72},{12,38,50},{12,28,1},{12,28,1},{12,22,5},{5,28,51},{7,23,1},{18,33,0},{18,33,0},{18,33,0},{18,25,1},{30,1,50},{13,28,0},{13,28,0},{7,23,0},{62,0,50},{7,23,0},{39,0,72},{17,35,0},{20,29,0},{10,29,0},{39,0,72},{78,0,72},{10,29,0},{0,26,72},{78,0,72},{0,26,72},{15,0,72},
{15,0,72},{15,0,72},{15,0,72},{12,30,0},{12,30,0},{12,30,0},{12,21,0},{6,24,0},{6,24,0},{19,52,144},{19,40,76},{20,33,105},{19,32,77},{16,51,243},{16,36,75},{16,33,2},{16,29,105},{6,37,244},{9,30,76},{22,46,72},{22,38,1},{23,33,5},{22,32,13},{41,0,243},{15,37,72},{16,33,2},{5,30,72},{83,0,243},{5,30,72},{19,43,72},{19,43,72},{19,43,72},
{19,31,72},{16,42,50},{16,32,1},{16,32,1},{16,26,5},{9,32,51},{11,27,1},{22,37,0},{22,37,0},{22,37,0},{22,29,1},{36,1,50},{17,32,0},{17,32,0},{11,27,0},{74,0,50},{11,27,0},{45,0,72},{21,39,0},{24,33,0},{14,33,0},{45,0,72},{91,0,72},{14,33,0},{0,30,72},{91,0,72},{0,30,72},{19,0,72},{19,0,72},{19,0,72},{19,0,72},{16,34,0},
{16,34,0},{16,34,0},{16,25,0},{10,28,0},{10,28,0},{23,56,144},{23,44,76},{24,37,105},{23,36,77},{20,55,243},{20,40,75},{20,37,2},{20,33,105},{10,41,244},{13,34,76},{26,50,72},{26,42,1},{27,37,5},{26,36,13},{47,0,243},{19,41,72},{20,37,2},{9,34,72},{95,0,243},{9,34,72},{23,47,72},{23,47,72},{23,47,72},{23,35,72},{20,46,50},{20,36,1},{20,36,1},
{20,30,5},{13,36,51},{15,31,1},{26,41,0},{26,41,0},{26,41,0},{26,33,1},{42,1,50},{21,36,0},{21,36,0},{15,31,0},{86,0,50},{15,31,0},{50,1,72},{25,43,0},{28,37,0},{18,37,0},{50,1,72},{103,0,72},{18,37,0},{0,34,72},{103,0,72},{0,34,72},{23,0,72},{23,0,72},{23,0,72},{23,0,72},{20,38,0},{20,38,0},{20,38,0},{20,29,0},{14,32,0},
{14,32,0},{28,60,146},{28,49,76},{29,42,107},{27,41,79},{25,58,244},{25,44,76},{25,41,3},{24,37,107},{14,46,244},{17,38,76},{31,54,73},{30,47,1},{31,41,6},{30,40,14},{53,1,243},{23,46,72},{25,41,2},{15,38,74},{109,0,243},{15,38,74},{28,51,74},{28,51,74},{28,51,74},{28,39,74},{25,49,51},{25,41,2},{25,41,2},{24,35,6},{18,40,51},{19,36,1},{31,44,1},
{31,44,1},{31,44,1},{30,38,1},{49,0,50},{26,40,0},{26,40,0},{21,35,1},{100,0,50},{21,35,1},{57,0,72},{30,47,0},{33,41,1},{24,41,1},{57,0,72},{117,0,72},{24,41,1},{0,38,74},{117,0,72},{0,38,74},{27,0,74},{27,0,74},{27,0,74},{27,0,74},{25,41,1},{25,41,1},{25,41,1},{25,33,1},{19,36,0},{19,36,0},{32,64,146},{32,53,76},{33,46,107},
{31,45,79},{29,62,244},{29,48,76},{29,45,3},{28,41,107},{18,50,244},{21,42,76},{35,58,73},{34,51,1},{35,45,6},{34,44,14},{59,1,243},{27,50,72},{29,45,2},{19,42,74},{121,0,243},{19,42,74},{32,55,74},{32,55,74},{32,55,74},{32,43,74},{29,53,51},{29,45,2},{29,45,2},{28,39,6},{22,44,51},{23,40,1},{35,48,1},{35,48,1},{35,48,1},{34,42,1},{55,0,50},
{30,44,0},{30,44,0},{25,39,1},{112,0,50},{25,39,1},{63,0,72},{34,51,0},{37,45,1},{28,45,1},{63,0,72},{127,1,72},{28,45,1},{0,42,74},{127,1,72},{0,42,74},{31,0,74},{31,0,74},{31,0,74},{31,0,74},{29,45,1},{29,45,1},{29,45,1},{29,37,1},{23,40,0},{23,40,0},{36,67,146},{36,57,76},{37,50,107},{35,49,79},{33,66,244},{33,52,76},{33,49,3},
{32,45,107},{22,54,244},{25,46,76},{39,62,73},{38,55,1},{39,49,6},{38,48,14},{65,0,243},{31,54,72},{33,49,2},{23,46,74},{127,3,243},{23,46,74},{36,59,74},{36,59,74},{36,59,74},{36,47,74},{33,57,51},{33,49,2},{33,49,2},{32,43,6},{26,48,51},{27,44,1},{39,52,1},{39,52,1},{39,52,1},{38,46,1},{61,0,50},{34,48,0},{34,48,0},{29,43,1},{124,0,50},
{29,43,1},{69,0,72},{38,55,0},{41,49,1},{32,49,1},{69,0,72},{127,7,72},{32,49,1},{0,46,74},{127,7,72},{0,46,74},{35,0,74},{35,0,74},{35,0,74},{35,0,74},{33,49,1},{33,49,1},{33,49,1},{33,41,1},{27,44,0},{27,44,0},{40,71,146},{40,61,76},{41,54,107},{39,53,79},{37,70,244},{37,56,76},{37,53,3},{36,49,107},{26,58,244},{29,50,76},{43,65,73},
{42,59,1},{43,53,6},{42,52,14},{71,0,243},{35,58,72},{37,53,2},{27,50,74},{127,9,243},{27,50,74},{40,63,74},{40,63,74},{40,63,74},{40,51,74},{37,61,51},{37,53,2},{37,53,2},{36,47,6},{30,52,51},{31,48,1},{43,56,1},{43,56,1},{43,56,1},{42,50,1},{66,1,50},{38,52,0},{38,52,0},{33,47,1},{126,5,50},{33,47,1},{75,0,72},{42,59,0},{45,53,1},
{36,53,1},{75,0,72},{127,13,72},{36,53,1},{0,50,74},{127,13,72},{0,50,74},{39,0,74},{39,0,74},{39,0,74},{39,0,74},{37,53,1},{37,53,1},{37,53,1},{37,45,1},{31,48,0},{31,48,0},{44,77,144},{44,65,77},{45,58,105},{44,57,77},{41,75,243},{41,61,75},{41,58,2},{41,54,105},{31,62,244},{34,55,76},{47,71,72},{47,63,1},{48,58,5},{47,57,13},{78,0,243},
{40,62,72},{41,58,2},{30,55,72},{126,16,243},{30,55,72},{44,68,72},{44,68,72},{44,68,72},{44,56,72},{41,66,50},{41,57,1},{41,57,1},{41,51,5},{34,57,51},{36,52,1},{47,62,0},{47,62,0},{47,62,0},{47,54,1},{73,0,50},{42,57,0},{42,57,0},{36,52,0},{126,12,50},{36,52,0},{81,0,72},{47,63,1},{49,58,0},{39,58,0},{81,0,72},{126,20,72},{39,58,0},
{0,55,72},{126,20,72},{0,55,72},{44,0,72},{44,0,72},{44,0,72},{44,0,72},{41,59,0},{41,59,0},{41,59,0},{41,50,0},{35,53,0},{35,53,0},{48,81,144},{48,69,77},{49,62,105},{48,61,77},{45,79,243},{45,65,73},{45,62,2},{45,58,105},{34,67,243},{38,59,76},{51,75,72},{51,66,1},{52,62,5},{51,61,13},{83,1,243},{45,65,73},{45,62,2},{34,59,72},{126,22,243},
{34,59,72},{48,72,72},{48,72,72},{48,72,72},{48,60,72},{45,70,50},{45,61,1},{45,61,1},{45,55,5},{38,61,51},{40,56,1},{51,65,0},{51,65,0},{51,65,0},{51,58,1},{79,0,50},{46,61,0},{46,61,0},{40,56,0},{127,17,50},{40,56,0},{87,0,72},{51,66,1},{53,62,0},{43,62,0},{87,0,72},{126,26,72},{43,62,0},{0,59,72},{126,26,72},{0,59,72},{48,0,72},
{48,0,72},{48,0,72},{48,0,72},{45,63,0},{45,63,0},{45,63,0},{45,54,0},{39,57,0},{39,57,0},{52,85,144},{52,73,77},{53,67,105},{52,65,77},{49,83,243},{49,69,73},{49,65,2},{49,62,105},{38,71,243},{42,63,76},{55,79,72},{55,70,1},{55,66,5},{54,65,14},{89,1,243},{49,69,73},{49,65,2},{38,63,72},{126,28,243},{38,63,72},{52,76,72},{52,76,72},{52,76,72},
{52,63,73},{49,74,50},{49,65,1},{49,65,1},{49,59,5},{41,65,50},{44,60,1},{55,69,0},{55,69,0},{55,69,0},{55,62,1},{85,0,50},{50,64,1},{50,64,1},{44,60,0},{127,23,50},{44,60,0},{93,0,72},{55,70,1},{57,65,1},{48,65,1},{93,0,72},{126,32,72},{48,65,1},{0,63,72},{126,32,72},{0,63,72},{52,0,72},{52,0,72},{52,0,72},{52,0,72},{49,67,0},
{49,67,0},{49,67,0},{49,58,0},{43,61,0},{43,61,0},{56,89,144},{56,77,77},{57,71,105},{56,69,77},{53,87,243},{53,73,73},{53,69,2},{52,66,103},{42,75,243},{45,66,79},{59,83,72},{59,74,1},{59,70,5},{58,69,14},{95,1,243},{53,73,73},{53,69,2},{43,66,74},{126,34,243},{43,66,74},{56,80,72},{56,80,72},{56,80,72},{56,67,73},{53,78,50},{53,69,1},{53,69,1},
{53,63,5},{45,69,50},{47,64,2},{59,73,0},{59,73,0},{59,73,0},{59,66,0},{91,0,50},{55,67,1},{55,67,1},{47,64,1},{127,29,50},{47,64,1},{99,0,72},{59,74,1},{61,69,1},{52,69,1},{99,0,72},{126,38,72},{52,69,1},{0,66,74},{126,38,72},{0,66,74},{56,0,72},{56,0,72},{56,0,72},{56,0,72},{53,71,0},{53,71,0},{53,71,0},{53,62,0},{47,64,1},
{47,64,1},{61,92,146},{61,80,79},{61,75,103},{60,74,78},{58,91,244},{57,78,74},{58,74,2},{56,70,105},{47,79,243},{49,71,77},{63,88,73},{63,79,2},{64,74,5},{63,73,14},{102,0,243},{57,78,73},{58,74,1},{47,71,72},{126,41,243},{47,71,72},{61,83,74},{61,83,74},{61,83,74},{60,72,74},{58,82,51},{58,73,2},{58,73,2},{57,68,5},{50,73,50},{52,68,1},{63,79,1},
{63,79,1},{63,79,1},{63,71,1},{98,0,50},{59,72,1},{59,72,1},{53,68,0},{127,36,50},{53,68,0},{106,0,72},{63,79,1},{65,74,0},{56,74,0},{106,0,72},{127,44,72},{56,74,0},{0,71,72},{127,44,72},{0,71,72},{60,0,74},{60,0,74},{60,0,74},{60,0,74},{58,74,1},{58,74,1},{58,74,1},{57,66,1},{52,68,1},{52,68,1},{64,97,144},{64,85,76},{65,78,105},
{64,77,77},{62,95,244},{61,82,74},{62,78,2},{60,74,105},{51,83,243},{53,75,77},{67,91,72},{67,83,1},{68,78,5},{67,77,13},{108,0,243},{61,82,73},{62,78,1},{51,75,72},{125,47,243},{51,75,72},{64,88,72},{64,88,72},{64,88,72},{64,76,72},{62,86,51},{62,77,2},{62,77,2},{61,72,5},{54,77,50},{56,72,1},{67,82,0},{67,82,0},{67,82,0},{67,74,1},{104,0,50},
{63,76,1},{63,76,1},{57,72,0},{127,42,50},{57,72,0},{112,0,72},{66,84,0},{69,78,0},{60,78,0},{112,0,72},{127,50,72},{60,78,0},{0,75,72},{127,50,72},{0,75,72},{64,0,72},{64,0,72},{64,0,72},{64,0,72},{62,78,1},{62,78,1},{62,78,1},{61,70,1},{56,72,1},{56,72,1},{68,101,144},{68,89,76},{69,82,105},{68,81,77},{65,100,243},{65,85,75},{65,82,2},
{65,78,105},{55,87,243},{57,79,77},{71,95,72},{71,87,1},{72,82,5},{71,81,13},{114,0,243},{64,86,72},{65,82,2},{55,79,72},{127,52,243},{55,79,72},{68,92,72},{68,92,72},{68,92,72},{68,80,72},{65,91,50},{65,81,1},{65,81,1},{65,75,5},{58,81,50},{60,76,1},{71,86,0},{71,86,0},{71,86,0},{71,78,1},{110,0,50},{66,81,0},{66,81,0},{61,76,0},{126,48,50},
{61,76,0},{118,0,72},{70,88,0},{73,82,0},{64,82,0},{118,0,72},{127,56,72},{64,82,0},{0,79,72},{127,56,72},{0,79,72},{68,0,72},{68,0,72},{68,0,72},{68,0,72},{65,83,0},{65,83,0},{65,83,0},{65,74,0},{60,76,1},{60,76,1},{72,105,144},{72,93,76},{73,86,105},{72,85,77},{69,104,243},{69,89,75},{69,86,2},{69,82,105},{59,91,243},{61,83,77},{75,99,72},
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{67,86,0},{124,0,72},{127,62,72},{67,86,0},{0,83,72},{127,62,72},{0,83,72},{72,0,72},{72,0,72},{72,0,72},{72,0,72},{69,87,0},{69,87,0},{69,87,0},{69,78,0},{64,80,1},{64,80,1},{77,109,146},{77,98,76},{78,91,107},{76,90,79},{74,107,244},{74,93,76},{74,90,3},{73,86,107},{63,96,243},{66,87,76},{80,103,73},{79,96,1},{80,90,6},{79,89,14},{127,0,243},
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{85,96,6},{79,101,51},{80,97,1},{92,105,1},{92,105,1},{92,105,1},{91,99,1},{127,27,50},{87,101,0},{87,101,0},{82,96,1},{126,78,50},{82,96,1},{127,43,72},{91,108,0},{94,102,1},{85,102,1},{127,43,72},{127,86,72},{85,102,1},{0,99,74},{127,86,72},{0,99,74},{88,0,74},{88,0,74},{88,0,74},{88,0,74},{86,102,1},{86,102,1},{86,102,1},{86,94,1},{80,97,0},
{80,97,0},{93,126,144},{93,114,76},{94,107,105},{93,106,77},{90,125,243},{90,110,75},{90,107,2},{90,103,105},{80,111,244},{83,104,76},{96,120,72},{96,112,1},{97,107,5},{96,106,13},{127,50,243},{89,111,72},{90,107,2},{79,104,72},{127,89,243},{79,104,72},{93,117,72},{93,117,72},{93,117,72},{93,105,72},{90,116,50},{90,106,1},{90,106,1},{90,100,5},{83,106,51},{85,101,1},{96,111,0},
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{97,110,77},{94,127,244},{94,114,75},{94,111,2},{94,107,105},{84,115,244},{87,108,76},{100,124,72},{100,116,1},{101,111,5},{100,110,13},{127,62,243},{93,115,72},{94,111,2},{83,108,72},{127,95,243},{83,108,72},{97,121,72},{97,121,72},{97,121,72},{97,109,72},{94,120,50},{94,110,1},{94,110,1},{94,104,5},{87,110,51},{89,105,1},{100,115,0},{100,115,0},{100,115,0},{100,107,1},{127,53,50},
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{0,10,61},{26,0,200},{3,32,0},{8,22,1},{0,21,18},{26,0,200},{53,0,200},{0,21,18},{0,17,202},{53,0,200},{0,17,202},{2,0,25},{2,0,25},{2,0,25},{2,0,25},{0,10,0},{0,10,0},{0,10,0},{0,5,0},{0,5,9},{0,5,9},{4,57,313},{4,39,121},{5,28,198},{4,25,131},{0,52,723},{0,31,227},{0,26,9},{0,20,362},{0,22,959},{0,19,515},{8,49,201},
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{0,26,5},{32,0,200},{65,0,200},{0,26,5},{0,21,202},{65,0,200},{0,21,202},{4,0,113},{4,0,113},{4,0,113},{4,0,113},{0,23,0},{0,23,0},{0,23,0},{0,11,0},{0,8,41},{0,8,41},{7,64,400},{7,43,216},{8,32,312},{7,30,213},{2,61,723},{1,38,208},{2,31,2},{0,24,312},{0,31,980},{0,24,440},{12,54,200},{12,40,0},{13,31,20},{11,29,36},{32,0,723},
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{0,29,257},{11,53,200},{11,53,200},{11,53,200},{11,32,200},{6,50,162},{6,35,2},{6,35,2},{6,24,20},{0,28,216},{0,24,20},{16,43,0},{16,43,0},{16,43,0},{16,29,1},{30,1,162},{8,33,0},{8,33,0},{0,24,4},{62,0,162},{0,24,4},{45,0,200},{16,44,0},{20,35,0},{4,35,0},{45,0,200},{91,0,200},{4,35,0},{0,30,200},{91,0,200},{0,30,200},{11,0,200},
{11,0,200},{11,0,200},{11,0,200},{6,36,0},{6,36,0},{6,36,0},{6,21,0},{0,22,8},{0,22,8},{15,72,400},{15,51,216},{16,40,312},{15,38,213},{10,69,723},{9,46,208},{10,39,2},{8,32,312},{0,43,788},{0,33,228},{20,62,200},{20,48,0},{21,39,20},{19,37,36},{44,0,723},{7,47,200},{10,39,2},{0,33,224},{89,0,723},{0,33,224},{15,57,200},{15,57,200},{15,57,200},
{15,36,200},{10,54,162},{10,39,2},{10,39,2},{10,28,20},{0,35,179},{1,29,0},{20,47,0},{20,47,0},{20,47,0},{20,33,1},{36,1,162},{12,37,0},{12,37,0},{1,29,0},{74,0,162},{1,29,0},{50,1,200},{20,48,0},{24,39,0},{8,39,0},{50,1,200},{103,0,200},{8,39,0},{0,34,200},{103,0,200},{0,34,200},{15,0,200},{15,0,200},{15,0,200},{15,0,200},{10,40,0},
{10,40,0},{10,40,0},{10,25,0},{1,29,0},{1,29,0},{19,76,400},{19,55,216},{20,44,312},{19,42,213},{14,73,723},{13,50,208},{14,43,2},{12,36,312},{0,49,740},{1,37,216},{24,66,200},{24,52,0},{25,43,20},{23,41,36},{50,0,723},{11,51,200},{14,43,2},{0,38,209},{101,0,723},{0,38,209},{19,61,200},{19,61,200},{19,61,200},{19,40,200},{14,58,162},{14,43,2},{14,43,2},
{14,32,20},{1,42,163},{5,33,0},{24,51,0},{24,51,0},{24,51,0},{24,37,1},{42,1,162},{16,41,0},{16,41,0},{5,33,0},{86,0,162},{5,33,0},{56,1,200},{24,52,0},{28,43,0},{12,43,0},{56,1,200},{115,0,200},{12,43,0},{0,38,200},{115,0,200},{0,38,200},{19,0,200},{19,0,200},{19,0,200},{19,0,200},{14,44,0},{14,44,0},{14,44,0},{14,29,0},{5,33,0},
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{109,0,202},{109,0,202},{109,0,202},{106,127,18},{106,127,18},{106,127,18},{105,119,1},{95,124,0},{95,124,0},{117,127,636},{117,127,516},{117,127,467},{115,127,282},{117,127,643},{111,127,241},{111,127,141},{108,126,18},{108,127,434},{99,127,2},{123,127,131},{121,127,105},{121,127,89},{119,127,26},{127,118,193},{119,127,86},{116,127,53},{101,127,0},{126,123,193},{101,127,0},{117,127,467},{117,127,467},{117,127,467},
{115,127,282},{114,127,410},{111,127,141},{111,127,141},{108,126,14},{105,127,254},{99,127,2},{121,127,89},{121,127,89},{121,127,89},{119,127,26},{127,113,145},{116,127,53},{116,127,53},{101,127,0},{127,120,145},{101,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{113,0,202},{113,0,202},{113,0,202},{113,0,202},{111,127,41},
{111,127,41},{111,127,41},{109,123,1},{101,126,2},{101,126,2},{120,127,412},{120,127,356},{120,127,331},{118,127,238},{120,127,387},{116,127,183},{116,127,134},{113,127,1},{113,127,262},{108,127,18},{124,127,41},{124,127,29},{124,127,25},{122,127,10},{127,122,54},{122,127,22},{122,127,13},{113,127,0},{126,125,54},{113,127,0},{120,127,331},{120,127,331},{120,127,331},{118,127,238},{117,127,266},{116,127,134},{116,127,134},
{113,127,1},{110,127,161},{108,127,18},{124,127,25},{124,127,25},{124,127,25},{122,127,10},{127,119,41},{122,127,13},{122,127,13},{113,127,0},{127,123,41},{113,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{117,0,202},{117,0,202},{117,0,202},{117,0,202},{114,127,73},{114,127,73},{114,127,73},{113,127,1},{108,127,18},
{108,127,18},{0,41,421},{0,28,41},{0,21,1},{0,18,157},{0,27,925},{0,19,569},{0,17,285},{0,12,701},{0,12,1005},{0,10,751},{0,41,421},{0,28,41},{0,21,1},{0,18,157},{13,1,925},{0,19,569},{0,17,285},{0,12,701},{27,0,925},{0,12,701},{0,20,0},{0,20,0},{0,20,0},{0,10,0},{0,9,85},{0,8,29},{0,8,29},{0,4,50},{0,5,94},{0,4,59},{0,20,0},
{0,20,0},{0,20,0},{0,10,0},{5,0,85},{0,8,29},{0,8,29},{0,4,50},{9,0,85},{0,4,50},{20,0,421},{0,28,41},{0,21,1},{0,18,157},{20,0,421},{41,0,421},{0,18,157},{0,14,421},{41,0,421},{0,14,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,53,421},{0,37,9},{1,25,17},
{0,21,113},{0,36,1261},{0,22,677},{0,20,305},{0,15,881},{0,17,1383},{0,13,971},{0,53,421},{0,37,9},{1,25,13},{0,21,113},{18,0,1261},{0,22,677},{0,20,305},{0,15,881},{36,0,1261},{0,15,881},{0,32,0},{0,32,0},{0,32,0},{0,15,1},{0,15,221},{0,11,85},{0,11,85},{0,7,130},{0,8,246},{0,7,155},{0,32,0},{0,32,0},{0,32,0},{0,15,1},{8,0,221},
{0,11,85},{0,11,85},{0,7,130},{15,0,221},{0,7,130},{26,0,421},{0,37,9},{3,25,1},{0,21,113},{26,0,421},{53,0,421},{0,21,113},{0,18,421},{53,0,421},{0,18,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,63,426},{1,42,6},{2,29,66},{0,27,74},{0,45,1514},{0,28,706},{0,25,258},
{0,18,974},{0,19,1706},{0,18,1118},{2,61,422},{1,42,2},{3,30,38},{0,27,74},{22,0,1514},{0,28,706},{0,25,258},{0,18,974},{45,0,1514},{0,18,974},{1,42,5},{1,42,5},{1,42,5},{1,21,5},{0,24,338},{0,19,90},{0,19,90},{0,10,181},{0,11,389},{0,10,230},{2,40,1},{2,40,1},{2,40,1},{1,21,1},{12,0,338},{0,19,90},{0,19,90},{0,10,181},{24,0,338},
{0,10,181},{32,0,421},{1,42,1},{7,29,1},{0,27,65},{32,0,421},{65,0,421},{0,27,65},{0,22,421},{65,0,421},{0,22,421},{1,0,5},{1,0,5},{1,0,5},{1,0,5},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,2,1},{0,2,1},{3,71,482},{3,48,62},{4,34,158},{2,31,117},{0,58,1514},{0,37,594},{0,31,122},{0,23,881},{0,25,1818},{0,21,1086},{6,65,422},
{5,46,2},{7,34,38},{4,31,74},{28,0,1514},{0,37,594},{0,31,122},{0,23,881},{58,0,1514},{0,23,881},{3,50,61},{3,50,61},{3,50,61},{3,26,61},{0,36,338},{0,25,34},{0,25,34},{0,15,130},{0,17,461},{0,14,226},{6,44,1},{6,44,1},{6,44,1},{5,25,1},{18,0,338},{0,25,34},{0,25,34},{0,15,130},{36,0,338},{0,15,130},{38,0,421},{5,46,1},{11,33,1},
{0,32,40},{38,0,421},{77,0,421},{0,32,40},{0,26,421},{77,0,421},{0,26,421},{3,0,61},{3,0,61},{3,0,61},{3,0,61},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{0,5,25},{0,5,25},{5,80,621},{5,55,213},{7,40,357},{5,35,241},{0,71,1514},{0,43,497},{0,36,29},{0,27,761},{0,31,1989},{0,26,1079},{10,70,421},{10,50,1},{11,38,41},{8,35,77},{35,0,1514},
{0,43,497},{0,36,29},{0,27,761},{71,0,1514},{0,27,761},{5,60,200},{5,60,200},{5,60,200},{5,32,200},{0,50,338},{0,34,4},{0,34,4},{0,21,80},{0,22,552},{0,19,244},{10,49,0},{10,49,0},{10,49,0},{10,29,0},{24,1,338},{0,34,4},{0,34,4},{0,21,80},{50,0,338},{0,21,80},{45,0,421},{10,50,1},{16,37,1},{0,36,13},{45,0,421},{91,0,421},{0,36,13},
{0,30,421},{91,0,421},{0,30,421},{5,0,200},{5,0,200},{5,0,200},{5,0,200},{0,30,0},{0,30,0},{0,30,0},{0,15,0},{0,11,74},{0,11,74},{7,89,813},{7,60,421},{10,43,617},{7,40,417},{0,83,1514},{0,51,446},{0,41,3},{0,32,686},{0,37,2165},{0,31,1101},{14,74,421},{14,54,1},{15,42,41},{12,39,77},{41,0,1514},{0,51,446},{0,41,3},{0,32,686},{83,0,1514},
{0,32,686},{7,67,392},{7,67,392},{7,67,392},{7,37,392},{0,62,338},{0,41,2},{0,41,2},{0,24,52},{0,28,680},{0,23,298},{14,53,0},{14,53,0},{14,53,0},{14,33,0},{30,1,338},{2,39,0},{2,39,0},{0,24,52},{62,0,338},{0,24,52},{51,0,421},{14,54,1},{20,41,1},{0,41,2},{51,0,421},{103,0,421},{0,41,2},{0,34,421},{103,0,421},{0,34,421},{7,0,392},
{7,0,392},{7,0,392},{7,0,392},{0,42,0},{0,42,0},{0,42,0},{0,21,0},{0,17,146},{0,17,146},{11,93,842},{11,65,453},{12,48,654},{11,44,446},{4,87,1515},{3,54,435},{4,45,4},{0,36,654},{0,43,2030},{0,35,882},{18,78,421},{18,58,1},{19,46,41},{16,43,77},{47,0,1514},{0,57,422},{4,45,3},{0,36,605},{95,0,1514},{0,36,605},{11,71,421},{11,71,421},{11,71,421},
{11,41,421},{4,66,339},{4,45,3},{4,45,3},{2,29,41},{0,34,581},{0,28,161},{18,57,0},{18,57,0},{18,57,0},{18,37,0},{36,1,338},{6,43,0},{6,43,0},{0,30,20},{74,0,338},{0,30,20},{57,0,421},{18,58,1},{24,45,1},{2,45,1},{57,0,421},{115,0,421},{2,45,1},{0,38,421},{115,0,421},{0,38,421},{11,0,421},{11,0,421},{11,0,421},{11,0,421},{4,46,1},
{4,46,1},{4,46,1},{3,25,1},{0,22,85},{0,22,85},{15,97,842},{16,67,453},{16,52,654},{15,48,446},{8,91,1515},{7,58,435},{8,49,4},{4,40,654},{0,51,1850},{0,40,682},{22,82,421},{22,62,1},{23,50,41},{20,47,77},{53,0,1514},{3,61,421},{8,49,3},{0,41,554},{107,0,1514},{0,41,554},{15,75,421},{15,75,421},{15,75,421},{15,45,421},{8,70,339},{8,49,3},{8,49,3},
{6,33,41},{0,40,477},{0,34,57},{22,61,0},{22,61,0},{22,61,0},{22,41,0},{42,1,338},{10,47,0},{10,47,0},{0,34,8},{86,0,338},{0,34,8},{63,0,421},{22,62,1},{28,49,1},{6,49,1},{63,0,421},{127,0,421},{6,49,1},{0,42,421},{127,0,421},{0,42,421},{15,0,421},{15,0,421},{15,0,421},{15,0,421},{8,50,1},{8,50,1},{8,50,1},{7,29,1},{0,31,29},
{0,31,29},{19,102,842},{20,71,451},{21,57,650},{19,52,446},{12,97,1514},{12,63,437},{12,54,2},{9,45,650},{0,57,1710},{0,45,530},{27,86,422},{26,67,1},{28,55,38},{25,52,74},{59,1,1514},{7,66,421},{12,54,2},{0,45,494},{121,0,1514},{0,45,494},{19,81,421},{19,81,421},{19,81,421},{19,49,422},{12,75,338},{12,54,2},{12,54,2},{11,38,38},{0,49,402},{0,39,6},{27,64,1},
{27,64,1},{27,64,1},{26,46,1},{49,0,338},{14,52,0},{14,52,0},{1,39,1},{100,0,338},{1,39,1},{69,0,421},{26,67,0},{32,54,1},{10,54,0},{69,0,421},{127,7,421},{10,54,0},{0,47,421},{127,7,421},{0,47,421},{19,0,421},{19,0,421},{19,0,421},{19,0,421},{12,56,0},{12,56,0},{12,56,0},{12,33,1},{0,38,5},{0,38,5},{23,106,842},{24,75,451},{25,61,650},
{23,56,446},{16,101,1514},{15,67,434},{16,58,2},{13,49,650},{0,64,1617},{0,50,462},{31,90,422},{30,71,1},{32,59,38},{29,56,74},{65,0,1514},{11,70,421},{16,58,2},{0,50,461},{127,3,1514},{0,50,461},{23,85,421},{23,85,421},{23,85,421},{23,53,422},{16,79,338},{16,58,2},{16,58,2},{15,42,38},{0,54,349},{3,43,2},{31,68,1},{31,68,1},{31,68,1},{30,50,1},{55,0,338},
{18,56,0},{18,56,0},{5,43,1},{112,0,338},{5,43,1},{75,0,421},{30,71,0},{36,58,1},{14,58,0},{75,0,421},{127,13,421},{14,58,0},{0,51,421},{127,13,421},{0,51,421},{23,0,421},{23,0,421},{23,0,421},{23,0,421},{16,60,0},{16,60,0},{16,60,0},{16,37,1},{3,43,1},{3,43,1},{27,110,842},{28,79,451},{30,64,650},{27,60,446},{20,105,1514},{19,71,434},{20,62,2},
{17,53,650},{0,70,1553},{1,54,450},{35,94,422},{34,75,1},{36,63,38},{33,60,74},{71,0,1514},{15,74,421},{20,62,2},{0,54,441},{127,9,1514},{0,54,441},{27,89,421},{27,89,421},{27,89,421},{27,57,422},{20,83,338},{20,62,2},{20,62,2},{19,46,38},{0,61,338},{7,47,2},{35,72,1},{35,72,1},{35,72,1},{34,54,1},{61,0,338},{22,60,0},{22,60,0},{9,47,1},{124,0,338},
{9,47,1},{81,0,421},{34,75,0},{40,62,1},{18,62,0},{81,0,421},{126,19,421},{18,62,0},{0,55,421},{126,19,421},{0,55,421},{27,0,421},{27,0,421},{27,0,421},{27,0,421},{20,64,0},{20,64,0},{20,64,0},{20,41,1},{7,47,1},{7,47,1},{31,114,842},{32,83,451},{33,67,650},{31,64,446},{24,109,1514},{23,75,434},{24,65,6},{21,57,650},{0,76,1521},{5,58,450},{39,98,422},
{38,79,1},{41,66,42},{37,63,81},{77,0,1514},{19,78,421},{25,65,2},{0,59,425},{127,15,1514},{0,59,425},{31,93,421},{31,93,421},{31,93,421},{31,61,422},{24,87,338},{24,64,5},{24,64,5},{23,50,38},{5,64,339},{11,51,2},{39,76,1},{39,76,1},{39,76,1},{38,58,1},{66,1,338},{25,64,1},{25,64,1},{13,51,1},{126,5,338},{13,51,1},{87,0,421},{38,79,0},{45,65,1},
{23,65,1},{87,0,421},{126,25,421},{23,65,1},{0,59,421},{126,25,421},{0,59,421},{31,0,421},{31,0,421},{31,0,421},{31,0,421},{24,67,0},{24,67,0},{24,67,0},{24,45,1},{11,51,1},{11,51,1},{36,118,842},{37,88,453},{38,72,646},{35,69,445},{29,112,1515},{27,79,438},{29,69,6},{25,61,654},{3,82,1515},{10,63,450},{43,103,421},{43,83,2},{45,70,41},{42,67,76},{83,1,1514},
{24,82,421},{29,69,5},{2,63,421},{126,22,1514},{2,63,421},{36,96,421},{36,96,421},{36,96,421},{36,65,421},{29,91,339},{29,69,2},{29,69,2},{27,54,41},{10,68,339},{15,56,1},{43,82,0},{43,82,0},{43,82,0},{43,62,0},{73,0,338},{31,67,1},{31,67,1},{16,56,0},{126,12,338},{16,56,0},{93,0,421},{42,84,0},{49,70,0},{26,70,0},{93,0,421},{126,32,421},{26,70,0},
{0,63,421},{126,32,421},{0,63,421},{36,0,421},{36,0,421},{36,0,421},{36,0,421},{29,71,1},{29,71,1},{29,71,1},{28,50,1},{15,56,1},{15,56,1},{40,122,842},{41,92,453},{42,76,646},{39,73,445},{33,116,1515},{31,83,438},{33,73,6},{30,64,650},{7,86,1515},{15,66,451},{47,107,421},{47,87,2},{49,74,41},{46,71,76},{89,1,1514},{28,86,421},{33,73,5},{5,67,421},{126,28,1514},
{5,67,421},{40,100,421},{40,100,421},{40,100,421},{40,69,421},{33,95,339},{33,73,2},{33,73,2},{31,58,41},{14,72,339},{19,60,1},{47,86,0},{47,86,0},{47,86,0},{47,66,0},{79,0,338},{35,71,1},{35,71,1},{20,60,0},{127,17,338},{20,60,0},{99,0,421},{46,88,0},{53,74,0},{30,74,0},{99,0,421},{126,38,421},{30,74,0},{0,67,421},{126,38,421},{0,67,421},{40,0,421},
{40,0,421},{40,0,421},{40,0,421},{33,75,1},{33,75,1},{33,75,1},{32,54,1},{19,60,1},{19,60,1},{44,126,842},{45,96,453},{46,80,646},{43,77,445},{37,120,1515},{35,87,438},{37,77,6},{34,68,650},{11,90,1515},{19,70,451},{51,111,421},{51,91,2},{53,78,41},{50,75,76},{95,1,1514},{32,90,421},{37,77,5},{9,71,421},{126,34,1514},{9,71,421},{44,104,421},{44,104,421},{44,104,421},
{44,73,421},{37,99,339},{37,77,2},{37,77,2},{35,62,41},{18,76,339},{23,64,1},{51,90,0},{51,90,0},{51,90,0},{51,70,0},{85,0,338},{39,75,1},{39,75,1},{23,64,1},{127,23,338},{23,64,1},{105,0,421},{50,92,0},{57,78,0},{34,78,0},{105,0,421},{126,44,421},{34,78,0},{0,71,421},{126,44,421},{0,71,421},{44,0,421},{44,0,421},{44,0,421},{44,0,421},{37,79,1},
{37,79,1},{37,79,1},{36,58,1},{23,64,0},{23,64,0},{48,126,854},{49,100,453},{50,84,646},{47,81,445},{41,124,1515},{39,91,438},{41,81,6},{38,72,650},{15,94,1515},{23,74,451},{55,115,421},{55,95,2},{57,82,41},{54,79,76},{101,1,1514},{36,94,421},{41,81,5},{13,75,421},{126,40,1514},{13,75,421},{48,108,421},{48,108,421},{48,108,421},{48,77,421},{41,103,339},{41,81,2},{41,81,2},
{40,65,42},{22,80,339},{27,68,1},{55,94,0},{55,94,0},{55,94,0},{55,74,0},{91,0,338},{43,79,1},{43,79,1},{29,67,1},{127,29,338},{29,67,1},{111,0,421},{54,96,0},{61,82,0},{38,82,0},{111,0,421},{127,49,421},{38,82,0},{0,75,421},{127,49,421},{0,75,421},{48,0,421},{48,0,421},{48,0,421},{48,0,421},{41,83,1},{41,83,1},{41,83,1},{40,62,1},{27,68,0},
{27,68,0},{53,127,886},{53,104,451},{54,88,650},{52,85,446},{46,126,1521},{44,96,434},{45,86,6},{43,77,646},{18,99,1515},{27,78,453},{60,119,422},{59,100,1},{62,87,42},{59,84,75},{108,0,1514},{40,99,421},{46,86,2},{18,79,421},{125,47,1514},{18,79,421},{52,114,421},{52,114,421},{52,114,421},{52,82,421},{45,108,338},{45,85,5},{45,85,5},{45,70,41},{26,85,339},{31,72,2},{60,97,1},
{60,97,1},{60,97,1},{60,78,1},{98,0,338},{48,83,1},{48,83,1},{33,72,0},{127,36,338},{33,72,0},{118,0,421},{59,100,0},{65,86,1},{44,86,1},{118,0,421},{127,56,421},{44,86,1},{0,79,421},{127,56,421},{0,79,421},{52,0,421},{52,0,421},{52,0,421},{52,0,421},{45,88,0},{45,88,0},{45,88,0},{45,66,0},{31,73,0},{31,73,0},{58,127,926},{57,108,451},{58,92,650},
{56,89,446},{51,126,1542},{48,100,434},{49,90,6},{47,81,646},{22,103,1515},{31,82,453},{63,125,422},{63,104,1},{64,91,41},{63,88,75},{114,0,1514},{44,103,421},{50,90,2},{22,83,421},{127,52,1514},{22,83,421},{56,118,421},{56,118,421},{56,118,421},{56,86,421},{49,112,338},{49,89,5},{49,89,5},{49,74,41},{30,89,339},{35,76,2},{63,103,1},{63,103,1},{63,103,1},{63,82,2},{104,0,338},
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{51,85,646},{26,107,1515},{35,86,453},{67,126,425},{67,107,1},{68,95,41},{65,92,77},{120,0,1514},{48,107,421},{54,94,2},{26,87,421},{127,58,1514},{26,87,421},{60,122,421},{60,122,421},{60,122,421},{60,90,421},{53,116,338},{53,93,5},{53,93,5},{53,78,41},{34,93,339},{39,80,2},{67,106,0},{67,106,0},{67,106,0},{67,86,0},{110,0,338},{56,91,1},{56,91,1},{41,80,0},{126,48,338},
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{0,49,8},{89,1,882},{31,89,1},{40,70,1},{8,70,1},{89,1,882},{126,28,882},{8,70,1},{0,60,884},{126,28,882},{0,60,884},{21,0,884},{21,0,884},{21,0,884},{21,0,884},{11,74,0},{11,74,0},{11,74,0},{11,42,0},{0,46,68},{0,46,68},{29,127,1934},{26,101,929},{29,77,1329},{25,73,942},{17,127,3091},{14,87,910},{15,74,14},{12,62,1329},{0,79,3559},{0,62,1174},{36,122,882},
{36,92,5},{38,75,66},{34,71,165},{81,0,3048},{9,91,882},{17,74,10},{0,62,1053},{126,20,3048},{0,62,1053},{26,111,884},{26,111,884},{26,111,884},{26,67,884},{15,106,648},{16,73,9},{16,73,9},{13,52,68},{0,64,810},{0,54,26},{36,90,0},{36,90,0},{36,90,0},{36,63,0},{66,1,648},{20,69,1},{20,69,1},{0,54,1},{126,5,648},{0,54,1},{95,1,882},{35,93,1},{44,74,1},
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{14,95,882},{21,78,9},{0,66,996},{127,26,3048},{0,66,996},{30,116,882},{30,116,882},{30,116,882},{30,72,882},{20,109,649},{20,77,10},{20,77,10},{18,57,67},{0,70,729},{1,59,3},{41,94,1},{41,94,1},{41,94,1},{40,67,1},{73,0,648},{24,74,1},{24,74,1},{4,58,1},{126,12,648},{4,58,1},{102,0,882},{39,98,1},{48,79,0},{15,79,0},{102,0,882},{126,41,882},{15,79,0},
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{31,68,66},{4,89,649},{12,70,5},{53,106,1},{53,106,1},{53,106,1},{52,79,1},{91,0,648},{36,86,1},{36,86,1},{15,70,0},{127,29,648},{15,70,0},{120,0,882},{51,110,1},{60,91,0},{27,91,0},{120,0,882},{127,58,882},{27,91,0},{0,80,884},{127,58,882},{0,80,884},{42,0,882},{42,0,882},{42,0,882},{42,0,882},{32,94,1},{32,94,1},{32,94,1},{31,63,1},{12,71,1},
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{57,111,0},{57,111,0},{57,83,0},{98,0,648},{41,90,1},{41,90,1},{21,74,1},{127,36,648},{21,74,1},{127,0,882},{56,114,1},{64,96,1},{33,95,1},{127,0,882},{126,65,882},{33,95,1},{0,85,882},{126,65,882},{0,85,882},{46,0,884},{46,0,884},{46,0,884},{46,0,884},{36,99,0},{36,99,0},{36,99,0},{36,67,0},{17,75,1},{17,75,1},{58,127,2792},{51,126,929},{54,102,1329},
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{45,94,1},{45,94,1},{25,78,1},{127,42,648},{25,78,1},{127,11,882},{60,118,1},{68,100,1},{37,99,1},{127,11,882},{126,71,882},{37,99,1},{0,89,882},{126,71,882},{0,89,882},{50,0,884},{50,0,884},{50,0,884},{50,0,884},{40,103,0},{40,103,0},{40,103,0},{40,71,0},{21,79,1},{21,79,1},{61,127,2984},{55,127,949},{58,106,1329},{54,102,942},{55,127,3832},{43,116,910},{44,103,14},
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{48,127,885},{54,111,9},{16,101,884},{127,75,3048},{16,101,884},{65,127,1053},{65,127,1053},{65,127,1053},{63,105,882},{56,127,769},{53,110,10},{53,110,10},{52,89,66},{25,110,649},{33,91,5},{73,126,1},{73,126,1},{73,126,1},{73,100,0},{122,0,648},{57,107,1},{57,107,1},{36,91,0},{126,61,648},{36,91,0},{127,50,882},{76,127,18},{81,112,0},{48,112,0},{127,50,882},{127,89,882},{48,112,0},
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{63,100,70},{37,122,649},{45,103,5},{87,126,52},{87,126,52},{87,126,52},{85,112,0},{127,27,648},{68,120,0},{68,120,0},{48,103,0},{126,78,648},{48,103,0},{127,86,882},{96,127,232},{93,124,0},{60,124,0},{127,86,882},{127,107,882},{60,124,0},{0,113,884},{127,107,882},{0,113,884},{74,0,884},{74,0,884},{74,0,884},{74,0,884},{64,126,1},{64,126,1},{64,126,1},{64,95,0},{45,104,1},
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{83,127,886},{91,127,4323},{79,127,1139},{74,127,41},{71,116,799},{60,127,2958},{49,118,506},{103,127,1386},{99,127,494},{97,127,130},{92,125,50},{127,76,2249},{87,127,870},{78,127,2},{42,119,481},{126,103,2249},{42,119,481},{88,127,1523},{88,127,1523},{88,127,1523},{83,125,883},{82,127,1251},{74,127,41},{74,127,41},{71,110,67},{48,127,670},{54,112,2},{97,127,130},{97,127,130},{97,127,130},{94,120,1},{127,53,648},
{78,127,2},{78,127,2},{58,111,1},{126,91,648},{58,111,1},{127,102,481},{108,127,169},{104,127,0},{79,127,0},{127,102,481},{127,115,481},{79,127,0},{0,119,481},{127,115,481},{0,119,481},{83,0,882},{83,0,882},{83,0,882},{83,0,882},{74,127,25},{74,127,25},{74,127,25},{72,104,1},{54,112,1},{54,112,1},{97,127,3571},{93,127,2183},{91,127,1635},{87,127,891},{94,127,3827},{84,127,1035},{79,127,114},
{74,119,499},{67,127,2577},{55,121,274},{106,127,1098},{102,127,458},{101,127,193},{97,126,9},{127,86,1769},{93,127,654},{84,127,26},{50,121,265},{127,107,1769},{50,121,265},{91,127,1635},{91,127,1635},{91,127,1635},{87,127,891},{85,127,1387},{79,127,114},{79,127,114},{75,114,67},{57,127,734},{58,116,2},{101,127,193},{101,127,193},{101,127,193},{98,124,1},{127,64,648},{84,127,26},{84,127,26},{62,115,1},{126,97,648},
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{33,109,5},{35,86,125},{31,79,306},{86,1,5419},{0,105,1577},{6,84,14},{0,66,2259},{126,25,5419},{0,66,2259},{20,127,1585},{20,127,1585},{20,127,1585},{19,75,1568},{5,126,1152},{5,83,17},{5,83,17},{4,54,121},{0,60,2155},{0,51,682},{33,105,0},{33,105,0},{33,105,0},{33,68,0},{66,1,1152},{11,78,1},{11,78,1},{0,55,80},{126,5,1152},{0,55,80},{105,0,1568},{31,110,1},{43,85,1},
{0,84,1},{105,0,1568},{126,44,1568},{0,84,1},{0,70,1570},{126,44,1568},{0,70,1570},{19,0,1568},{19,0,1568},{19,0,1568},{19,0,1568},{5,90,0},{5,90,0},{5,90,0},{5,47,0},{0,43,388},{0,43,388},{32,127,4866},{25,123,1659},{27,93,2355},{23,86,1670},{23,127,6489},{8,107,1615},{10,88,18},{5,71,2353},{0,87,7039},{0,70,2897},{44,127,1865},{37,113,6},{40,91,122},{36,84,305},{93,0,5419},
{2,111,1569},{10,88,17},{0,72,2124},{126,32,5419},{0,72,2124},{24,127,1619},{24,127,1619},{24,127,1619},{24,79,1570},{10,127,1161},{10,88,14},{10,88,14},{8,58,122},{0,67,1905},{0,57,409},{38,109,1},{38,109,1},{38,109,1},{37,73,1},{73,0,1152},{15,83,1},{15,83,1},{0,59,41},{126,12,1152},{0,59,41},{112,0,1568},{35,115,1},{48,89,0},{4,89,0},{112,0,1568},{127,50,1568},{4,89,0},
{0,75,1568},{127,50,1568},{0,75,1568},{23,0,1570},{23,0,1570},{23,0,1570},{23,0,1570},{10,93,1},{10,93,1},{10,93,1},{10,51,1},{0,51,232},{0,51,232},{35,127,5154},{29,127,1659},{31,97,2355},{27,90,1670},{26,127,6689},{12,111,1615},{14,92,18},{9,75,2353},{0,93,6751},{0,74,2541},{49,127,1955},{41,117,6},{44,95,122},{40,88,305},{99,0,5419},{6,115,1569},{14,92,17},{0,75,2020},{126,38,5419},
{0,75,2020},{29,127,1650},{29,127,1650},{29,127,1650},{28,83,1570},{15,127,1179},{14,92,14},{14,92,14},{12,62,122},{0,76,1713},{0,63,225},{42,113,1},{42,113,1},{42,113,1},{41,77,1},{79,0,1152},{19,87,1},{19,87,1},{0,64,20},{127,17,1152},{0,64,20},{118,0,1568},{39,119,1},{52,93,0},{8,93,0},{118,0,1568},{127,56,1568},{8,93,0},{0,79,1568},{127,56,1568},{0,79,1568},{27,0,1570},
{27,0,1570},{27,0,1570},{27,0,1570},{14,97,1},{14,97,1},{14,97,1},{14,55,1},{0,57,136},{0,57,136},{41,127,5426},{33,127,1711},{35,101,2355},{31,94,1670},{32,127,6905},{16,115,1615},{18,96,18},{13,79,2353},{0,102,6483},{0,79,2241},{52,127,2075},{45,121,6},{48,99,122},{44,92,305},{105,0,5419},{10,119,1569},{18,96,17},{0,80,1929},{126,44,5419},{0,80,1929},{33,127,1707},{33,127,1707},{33,127,1707},
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{7,73,259},{0,84,3784},{0,70,1091},{47,127,97},{47,127,97},{47,127,97},{45,93,1},{91,0,2178},{14,108,1},{14,108,1},{0,75,146},{127,29,2178},{0,75,146},{127,31,2665},{60,127,388},{60,114,0},{3,114,0},{127,31,2665},{127,80,2665},{3,114,0},{0,96,2665},{127,80,2665},{0,96,2665},{27,0,2665},{27,0,2665},{27,0,2665},{27,0,2665},{9,118,1},{9,118,1},{9,118,1},{8,63,1},{0,60,565},
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{34,120,2823},{47,127,15677},{22,127,3905},{18,122,18},{12,98,4166},{0,125,12093},{0,97,4561},{71,127,5701},{60,127,1475},{58,124,259},{51,117,470},{127,5,9669},{31,127,3601},{18,122,14},{0,101,3590},{126,68,9669},{0,101,3590},{41,127,4085},{41,127,4085},{41,127,4085},{35,111,2665},{29,127,3332},{17,121,17},{17,121,17},{15,81,260},{0,99,3211},{0,81,470},{58,127,202},{58,127,202},{58,127,202},{53,102,1},{104,0,2178},
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{16,102,4166},{0,126,11883},{0,102,4131},{77,127,6005},{67,127,1893},{61,127,275},{55,121,470},{127,18,9669},{40,127,3909},{22,126,14},{0,104,3434},{126,74,9669},{0,104,3434},{44,127,4289},{44,127,4289},{44,127,4289},{39,115,2665},{35,127,3540},{21,125,17},{21,125,17},{19,85,260},{0,105,2979},{0,87,270},{61,127,274},{61,127,274},{61,127,274},{57,106,1},{110,0,2178},{27,120,1},{27,120,1},{0,89,29},{126,48,2178},
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{100,127,2296},{100,127,1972},{90,127,612},{127,86,4267},{87,127,2028},{76,127,1210},{5,127,0},{127,107,4267},{5,127,0},{65,127,17289},{65,127,17289},{65,127,17289},{57,127,11462},{55,127,14739},{40,127,6374},{40,127,6374},{18,125,50},{2,127,8937},{0,122,1881},{100,127,1972},{100,127,1972},{100,127,1972},{90,127,612},{127,66,3200},{76,127,1210},{76,127,1210},{5,127,0},{127,97,3200},{5,127,0},{127,127,0},{127,127,0},{127,127,0},
{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{53,0,9250},{53,0,9250},{53,0,9250},{53,0,9250},{35,127,2897},{35,127,2897},{35,127,2897},{20,120,1},{0,116,1693},{0,116,1693},{65,127,65535},{48,127,44233},{41,127,29640},{37,127,18961},{61,127,65535},{40,127,26823},{30,127,8416},{24,127,9},{8,127,47133},{0,122,6081},{109,127,2377},{103,127,1809},{103,127,1553},{96,127,481},{127,90,3361},
{90,127,1593},{84,127,953},{19,127,0},{127,109,3361},{19,127,0},{71,127,16331},{71,127,16331},{71,127,16331},{63,127,11212},{61,127,13721},{46,127,6266},{46,127,6266},{24,126,8},{5,127,8245},{0,125,1397},{103,127,1553},{103,127,1553},{103,127,1553},{96,127,481},{127,72,2521},{84,127,953},{84,127,953},{19,127,0},{127,100,2521},{19,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},
{0,127,0},{127,127,0},{0,127,0},{58,0,9248},{58,0,9248},{58,0,9248},{58,0,9248},{41,127,3181},{41,127,3181},{41,127,3181},{24,125,0},{0,125,1381},{0,125,1381},{65,127,65535},{51,127,41789},{44,127,28480},{40,127,18673},{65,127,65535},{43,127,25251},{34,127,8410},{28,127,4},{14,127,43557},{0,125,4005},{111,127,1843},{106,127,1421},{106,127,1225},{99,127,373},{127,95,2646},{96,127,1241},{90,127,745},{31,127,0},{127,111,2646},
{31,127,0},{74,127,15539},{74,127,15539},{74,127,15539},{64,127,10979},{65,127,12914},{51,127,6216},{51,127,6216},{28,127,4},{11,127,7709},{0,126,1217},{106,127,1225},{106,127,1225},{106,127,1225},{99,127,373},{127,78,1985},{90,127,745},{90,127,745},{31,127,0},{127,103,1985},{31,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{62,0,9248},
{62,0,9248},{62,0,9248},{62,0,9248},{44,127,3425},{44,127,3425},{44,127,3425},{28,127,4},{0,125,1205},{0,125,1205},{68,127,65535},{54,127,39465},{49,127,27209},{46,127,18393},{65,127,64563},{46,127,23799},{38,127,8426},{32,127,64},{14,127,40437},{0,125,2677},{111,127,1411},{111,127,1070},{109,127,937},{102,127,281},{127,99,2017},{99,127,937},{93,127,565},{43,127,0},{126,114,2017},{43,127,0},{77,127,14795},{77,127,14795},{77,127,14795},
{70,127,10779},{68,127,12146},{54,127,6176},{54,127,6176},{34,127,52},{14,127,7281},{2,127,1213},{109,127,937},{109,127,937},{109,127,937},{102,127,281},{127,84,1513},{93,127,565},{93,127,565},{43,127,0},{127,106,1513},{43,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{65,0,9250},{65,0,9250},{65,0,9250},{65,0,9250},{49,127,3656},
{49,127,3656},{49,127,3656},{34,127,52},{2,127,1213},{2,127,1213},{71,127,63180},{60,127,37225},{52,127,26137},{48,127,18128},{68,127,59595},{51,127,22636},{42,127,8480},{37,127,164},{22,127,37455},{0,126,2073},{114,127,1019},{111,127,766},{111,127,666},{105,127,205},{127,102,1473},{102,127,681},{99,127,405},{56,127,0},{127,115,1473},{56,127,0},{79,127,14066},{79,127,14066},{79,127,14066},{73,127,10571},{71,127,11450},{59,127,6166},{59,127,6166},
{37,127,148},{25,127,6914},{5,127,1413},{111,127,666},{111,127,666},{111,127,666},{105,127,205},{127,90,1105},{99,127,405},{99,127,405},{56,127,0},{127,109,1105},{56,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{69,0,9250},{69,0,9250},{69,0,9250},{69,0,9250},{52,127,3940},{52,127,3940},{52,127,3940},{37,127,148},{5,127,1413},
{5,127,1413},
/**** ended inlining basisu_transcoder_tables_bc7_m5_color.inc ****/
};
static dxt_selector_range g_etc1_to_bc7_m5a_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 }
};
const uint32_t NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES = sizeof(g_etc1_to_bc7_m5a_selector_ranges) / sizeof(g_etc1_to_bc7_m5a_selector_ranges[0]);
static uint32_t g_etc1_to_bc7_m5a_selector_range_index[4][4];
struct etc1_g_to_bc7_m5a_conversion
{
uint8_t m_lo, m_hi;
uint8_t m_trans;
};
static etc1_g_to_bc7_m5a_conversion g_etc1_g_to_bc7_m5a[8 * 32 * NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES] =
{
/**** start inlining basisu_transcoder_tables_bc7_m5_alpha.inc ****/
{7,0,47},{7,0,44},{2,0,15},{2,0,12},{8,2,48},{0,0,0},{15,0,27},{15,1,24},{9,0,7},{15,1,24},{23,3,96},{6,0,3},{24,7,27},{24,7,24},{18,3,6},{18,5,4},{24,5,16},{21,1,6},{32,15,27},{32,15,24},{26,11,6},{26,13,4},{32,13,16},{22,3,1},{41,24,27},{41,24,24},{35,20,6},{35,22,4},{41,22,16},{31,12,1},{49,32,27},
{49,32,24},{43,28,6},{43,30,4},{49,30,16},{39,20,1},{57,40,27},{57,40,24},{51,36,6},{51,38,4},{57,38,16},{47,28,1},{65,48,27},{65,48,24},{59,44,6},{59,46,4},{65,46,16},{55,36,1},{74,57,27},{74,57,24},{68,53,6},{68,55,4},{74,55,16},{64,45,1},{82,65,27},{82,65,24},{76,61,6},{76,63,4},{82,63,16},{72,53,1},{90,73,27},{90,73,24},{84,69,6},
{84,71,4},{90,71,16},{80,61,1},{98,81,27},{98,81,24},{92,77,6},{92,79,4},{98,79,16},{88,69,1},{107,90,27},{107,90,24},{101,86,6},{101,88,4},{107,88,16},{97,78,1},{115,98,27},{115,98,24},{109,94,6},{109,96,4},{115,96,16},{105,86,1},{123,106,27},{123,106,24},{117,102,6},{117,104,4},{123,104,16},{113,94,1},{131,114,27},{131,114,24},{125,110,6},{125,112,4},{131,112,16},
{121,102,1},{140,123,27},{140,123,24},{134,119,6},{134,121,4},{140,121,16},{130,111,1},{148,131,27},{148,131,24},{142,127,6},{142,129,4},{148,129,16},{138,119,1},{156,139,27},{156,139,24},{150,135,6},{150,137,4},{156,137,16},{146,127,1},{164,147,27},{164,147,24},{158,143,6},{158,145,4},{164,145,16},{154,135,1},{173,156,27},{173,156,24},{167,152,6},{167,154,4},{173,154,16},{163,144,1},{181,164,27},
{181,164,24},{175,160,6},{175,162,4},{181,162,16},{171,152,1},{189,172,27},{189,172,24},{183,168,6},{183,170,4},{189,170,16},{179,160,1},{197,180,27},{197,180,24},{191,176,6},{191,178,4},{197,178,16},{187,168,1},{206,189,27},{206,189,24},{200,185,6},{200,187,4},{206,187,16},{196,177,1},{214,197,27},{214,197,24},{208,193,6},{208,195,4},{214,195,16},{204,185,1},{222,205,27},{222,205,24},{216,201,6},
{216,203,4},{222,203,16},{212,193,1},{230,213,27},{230,213,24},{224,209,6},{224,211,4},{230,211,16},{220,201,1},{239,222,27},{239,222,24},{233,218,6},{233,220,4},{239,220,16},{229,210,1},{247,230,27},{247,230,24},{241,226,6},{241,228,4},{247,228,16},{237,218,1},{255,238,27},{255,238,24},{249,234,6},{249,236,4},{255,236,16},{245,226,1},{255,247,7},{255,248,4},{255,247,7},{255,248,4},{255,0,0},
{253,234,1},{16,0,47},{16,0,44},{5,0,15},{5,0,12},{17,5,48},{0,0,0},{37,1,111},{36,2,108},{13,0,11},{13,3,12},{37,1,96},{3,0,3},{33,0,27},{33,0,24},{31,0,27},{31,1,24},{45,9,96},{11,0,3},{40,7,27},{41,8,24},{39,7,27},{29,0,4},{41,3,16},{19,1,2},{49,16,27},{50,17,24},{38,5,6},{38,6,4},{50,12,16},{40,4,6},{57,24,27},
{58,25,24},{46,13,6},{46,14,4},{58,20,16},{36,0,1},{65,32,27},{66,33,24},{54,21,6},{54,22,4},{66,28,16},{44,6,1},{73,40,27},{74,41,24},{62,29,6},{62,30,4},{74,36,16},{52,14,1},{82,49,27},{83,50,24},{71,38,6},{71,39,4},{83,45,16},{61,23,1},{90,57,27},{91,58,24},{79,46,6},{79,47,4},{91,53,16},{69,31,1},{98,65,27},{99,66,24},{87,54,6},
{87,55,4},{99,61,16},{77,39,1},{106,73,27},{107,74,24},{95,62,6},{95,63,4},{107,69,16},{85,47,1},{115,82,27},{116,83,24},{104,71,6},{104,72,4},{116,78,16},{94,56,1},{123,90,27},{124,91,24},{112,79,6},{112,80,4},{124,86,16},{102,64,1},{131,98,27},{132,99,24},{120,87,6},{120,88,4},{132,94,16},{110,72,1},{139,106,27},{140,107,24},{128,95,6},{128,96,4},{140,102,16},
{118,80,1},{148,115,27},{149,116,24},{137,104,6},{137,105,4},{149,111,16},{127,89,1},{156,123,27},{157,124,24},{145,112,6},{145,113,4},{157,119,16},{135,97,1},{164,131,27},{165,132,24},{153,120,6},{153,121,4},{165,127,16},{143,105,1},{172,139,27},{173,140,24},{161,128,6},{161,129,4},{173,135,16},{151,113,1},{181,148,27},{182,149,24},{170,137,6},{170,138,4},{182,144,16},{160,122,1},{189,156,27},
{190,157,24},{178,145,6},{178,146,4},{190,152,16},{168,130,1},{197,164,27},{198,165,24},{186,153,6},{186,154,4},{198,160,16},{176,138,1},{205,172,27},{206,173,24},{194,161,6},{194,162,4},{206,168,16},{184,146,1},{214,181,27},{215,182,24},{203,170,6},{203,171,4},{215,177,16},{193,155,1},{222,189,27},{223,190,24},{211,178,6},{211,179,4},{223,185,16},{201,163,1},{230,197,27},{231,198,24},{219,186,6},
{219,187,4},{231,193,16},{209,171,1},{238,205,27},{239,206,24},{227,194,6},{227,195,4},{239,201,16},{217,179,1},{247,214,27},{248,215,24},{236,203,6},{236,204,4},{248,210,16},{226,188,1},{255,222,27},{255,222,24},{244,211,6},{244,212,4},{255,220,16},{234,196,1},{254,218,6},{255,242,28},{252,219,6},{252,220,4},{255,245,16},{242,204,1},{255,238,7},{255,239,4},{255,238,7},{255,239,4},{255,0,0},
{250,212,1},{28,0,47},{28,0,44},{9,0,15},{9,0,12},{29,9,48},{0,0,0},{53,0,111},{53,0,108},{17,0,15},{17,0,12},{37,7,32},{0,0,0},{66,3,111},{63,7,108},{25,0,11},{25,7,12},{65,5,96},{7,0,3},{51,0,27},{71,15,108},{47,0,27},{33,6,8},{73,13,96},{15,0,3},{61,4,27},{80,24,108},{61,4,27},{60,6,24},{62,0,16},{24,4,3},{69,12,27},
{88,32,108},{69,12,27},{68,14,24},{70,8,16},{32,2,2},{77,20,27},{96,40,108},{58,2,6},{58,2,4},{78,16,16},{60,0,6},{85,28,27},{104,48,108},{66,10,6},{66,10,4},{86,24,16},{68,8,6},{94,37,27},{113,57,108},{75,19,6},{75,19,4},{95,33,16},{77,17,6},{102,45,27},{121,65,108},{83,27,6},{83,27,4},{103,41,16},{65,3,1},{110,53,27},{129,73,108},{91,35,6},
{91,35,4},{111,49,16},{73,11,1},{118,61,27},{137,81,108},{99,43,6},{99,43,4},{119,57,16},{81,19,1},{127,70,27},{146,90,108},{108,52,6},{108,52,4},{128,66,16},{90,28,1},{135,78,27},{154,98,108},{116,60,6},{116,60,4},{136,74,16},{98,36,1},{143,86,27},{162,106,108},{124,68,6},{124,68,4},{144,82,16},{106,44,1},{151,94,27},{170,114,108},{132,76,6},{132,76,4},{152,90,16},
{114,52,1},{160,103,27},{179,123,108},{141,85,6},{141,85,4},{161,99,16},{123,61,1},{168,111,27},{187,131,108},{149,93,6},{149,93,4},{169,107,16},{131,69,1},{176,119,27},{195,139,108},{157,101,6},{157,101,4},{177,115,16},{139,77,1},{184,127,27},{203,147,108},{165,109,6},{165,109,4},{185,123,16},{147,85,1},{193,136,27},{212,156,108},{174,118,6},{174,118,4},{194,132,16},{156,94,1},{201,144,27},
{220,164,108},{182,126,6},{182,126,4},{202,140,16},{164,102,1},{209,152,27},{228,172,108},{190,134,6},{190,134,4},{210,148,16},{172,110,1},{217,160,27},{236,180,108},{198,142,6},{198,142,4},{218,156,16},{180,118,1},{226,169,27},{245,189,108},{207,151,6},{207,151,4},{227,165,16},{189,127,1},{234,177,27},{253,197,108},{215,159,6},{215,159,4},{235,173,16},{197,135,1},{242,185,27},{243,186,24},{223,167,6},
{223,167,4},{243,181,16},{205,143,1},{250,193,27},{251,194,24},{231,175,6},{231,175,4},{251,189,16},{213,151,1},{255,203,27},{255,206,24},{240,184,6},{240,184,4},{255,208,16},{222,160,1},{251,188,6},{255,230,28},{248,192,6},{248,192,4},{255,233,16},{230,168,1},{255,200,6},{255,202,4},{255,200,6},{255,202,4},{255,0,0},{238,176,1},{255,226,7},{255,227,4},{255,226,7},{255,227,4},{255,0,0},
{246,184,1},{41,0,47},{41,0,44},{13,0,15},{13,0,12},{42,13,48},{0,0,0},{71,0,111},{71,0,108},{21,0,15},{21,0,12},{50,7,32},{0,0,0},{86,1,111},{85,2,108},{29,1,15},{29,3,12},{87,0,96},{3,0,3},{96,6,111},{93,10,108},{37,0,11},{37,11,12},{95,8,96},{11,0,3},{71,0,27},{102,19,108},{68,0,27},{46,7,8},{104,17,96},{20,0,3},{82,0,27},
{110,27,108},{81,0,27},{80,2,24},{112,25,96},{28,0,3},{91,7,27},{118,35,108},{91,7,27},{88,10,24},{91,2,16},{36,7,3},{99,15,27},{126,43,108},{99,15,27},{96,18,24},{99,10,16},{44,1,2},{108,24,27},{135,52,108},{108,24,27},{79,0,4},{108,19,16},{53,10,2},{116,32,27},{143,60,108},{87,5,6},{87,7,4},{116,27,16},{90,3,6},{124,40,27},{151,68,108},{95,13,6},
{95,15,4},{124,35,16},{98,11,6},{132,48,27},{159,76,108},{103,21,6},{103,23,4},{132,43,16},{106,19,6},{141,57,27},{168,85,108},{112,30,6},{112,32,4},{141,52,16},{115,28,6},{149,65,27},{176,93,108},{120,38,6},{120,40,4},{149,60,16},{94,5,1},{157,73,27},{184,101,108},{128,46,6},{128,48,4},{157,68,16},{102,13,1},{165,81,27},{192,109,108},{136,54,6},{136,56,4},{165,76,16},
{110,21,1},{174,90,27},{201,118,108},{145,63,6},{145,65,4},{174,85,16},{119,30,1},{182,98,27},{209,126,108},{153,71,6},{153,73,4},{182,93,16},{127,38,1},{190,106,27},{217,134,108},{161,79,6},{161,81,4},{190,101,16},{135,46,1},{198,114,27},{225,142,108},{169,87,6},{169,89,4},{198,109,16},{143,54,1},{207,123,27},{234,151,108},{178,96,6},{178,98,4},{207,118,16},{152,63,1},{215,131,27},
{242,159,108},{186,104,6},{186,106,4},{215,126,16},{160,71,1},{223,139,27},{250,167,108},{194,112,6},{194,114,4},{223,134,16},{168,79,1},{231,147,27},{231,147,24},{202,120,6},{202,122,4},{231,142,16},{176,87,1},{240,156,27},{240,156,24},{211,129,6},{211,131,4},{240,151,16},{185,96,1},{248,164,27},{248,164,24},{219,137,6},{219,139,4},{248,159,16},{193,104,1},{254,173,27},{255,174,24},{227,145,6},
{227,147,4},{255,169,16},{201,112,1},{255,182,27},{255,187,24},{235,153,6},{235,155,4},{255,193,16},{209,120,1},{249,159,6},{255,218,28},{244,162,6},{244,164,4},{255,220,16},{218,129,1},{254,169,6},{254,168,4},{252,170,6},{252,172,4},{255,245,16},{226,137,1},{255,184,6},{255,190,4},{255,184,6},{255,190,4},{255,0,0},{234,145,1},{255,213,7},{255,214,4},{255,213,7},{255,214,4},{255,0,0},
{242,153,1},{59,0,47},{59,0,44},{18,0,15},{18,0,12},{60,18,48},{0,0,0},{69,0,47},{68,2,44},{26,0,15},{26,0,12},{68,5,32},{0,0,0},{111,0,111},{111,0,108},{34,0,15},{34,0,12},{76,13,32},{0,0,0},{123,3,111},{122,5,108},{42,3,15},{42,6,12},{125,1,96},{6,0,3},{135,8,111},{131,14,108},{50,0,11},{51,15,12},{134,10,96},{15,0,3},{95,0,27},
{139,22,108},{59,2,11},{59,5,8},{142,18,96},{23,0,3},{105,0,27},{147,30,108},{99,0,27},{67,13,8},{150,26,96},{31,0,3},{115,0,27},{155,38,108},{113,1,27},{110,4,24},{158,34,96},{39,0,3},{125,7,27},{164,47,108},{125,7,27},{119,13,24},{167,43,96},{48,6,3},{133,15,27},{172,55,108},{133,15,27},{127,21,24},{134,5,16},{56,14,3},{141,23,27},{180,63,108},{141,23,27},
{135,29,24},{142,13,16},{64,1,2},{149,31,27},{188,71,108},{149,31,27},{143,37,24},{150,21,16},{72,9,2},{158,40,27},{197,80,108},{118,1,6},{117,6,4},{159,30,16},{120,0,6},{166,48,27},{205,88,108},{126,9,6},{125,14,4},{167,38,16},{130,6,6},{174,56,27},{213,96,108},{134,17,6},{133,22,4},{175,46,16},{138,14,6},{182,64,27},{221,104,108},{142,25,6},{141,30,4},{183,54,16},
{146,22,6},{191,73,27},{230,113,108},{151,34,6},{150,39,4},{192,63,16},{155,31,6},{199,81,27},{238,121,108},{159,42,6},{158,47,4},{200,71,16},{163,39,6},{207,89,27},{246,129,108},{167,50,6},{166,55,4},{208,79,16},{130,1,1},{215,97,27},{254,137,108},{175,58,6},{174,63,4},{216,87,16},{138,9,1},{224,106,27},{224,106,24},{184,67,6},{183,72,4},{225,96,16},{147,18,1},{232,114,27},
{232,114,24},{192,75,6},{191,80,4},{233,104,16},{155,26,1},{240,122,27},{240,122,24},{200,83,6},{199,88,4},{241,112,16},{163,34,1},{248,130,27},{248,130,24},{208,91,6},{207,96,4},{249,120,16},{171,42,1},{255,140,27},{254,142,24},{217,100,6},{216,105,4},{255,135,16},{180,51,1},{255,149,27},{255,156,24},{225,108,6},{224,113,4},{255,159,16},{188,59,1},{255,159,27},{253,196,28},{233,116,6},
{232,121,4},{255,184,16},{196,67,1},{247,120,6},{255,205,28},{241,124,6},{240,129,4},{255,208,16},{204,75,1},{252,132,6},{252,132,4},{250,133,6},{249,138,4},{255,236,16},{213,84,1},{255,144,6},{255,150,4},{255,144,6},{255,150,4},{255,0,0},{221,92,1},{254,185,7},{255,175,4},{253,187,7},{255,175,4},{255,0,0},{229,100,1},{255,196,7},{255,199,4},{255,196,7},{255,199,4},{255,0,0},
{237,108,1},{80,0,47},{80,0,44},{24,0,15},{24,0,12},{80,24,48},{0,0,0},{88,1,47},{88,1,44},{32,0,15},{32,0,12},{88,4,32},{0,0,0},{138,0,111},{138,0,108},{40,0,15},{40,0,12},{96,12,32},{0,0,0},{153,0,111},{153,0,108},{48,0,15},{48,0,12},{104,20,32},{0,0,0},{166,4,111},{164,8,108},{57,4,15},{57,9,12},{167,3,96},{9,0,3},{176,9,111},
{172,16,108},{65,0,11},{65,17,12},{175,11,96},{17,0,3},{189,13,111},{180,24,108},{73,0,11},{73,1,8},{183,19,96},{25,0,3},{129,0,27},{188,32,108},{83,2,11},{81,9,8},{191,27,96},{33,0,3},{141,0,27},{197,41,108},{132,0,27},{90,18,8},{200,36,96},{42,0,3},{151,0,27},{205,49,108},{148,0,27},{145,3,24},{208,44,96},{50,0,3},{160,3,27},{213,57,108},{160,3,27},
{153,11,24},{216,52,96},{58,2,3},{168,11,27},{221,65,108},{168,11,27},{161,19,24},{170,0,16},{66,10,3},{177,20,27},{230,74,108},{177,20,27},{170,28,24},{179,7,16},{75,19,3},{185,28,27},{238,82,108},{185,28,27},{178,36,24},{187,15,16},{83,0,2},{193,36,27},{246,90,108},{193,36,27},{186,44,24},{195,23,16},{91,7,2},{201,44,27},{254,98,108},{201,44,27},{147,0,4},{203,31,16},
{99,15,2},{210,53,27},{211,54,24},{157,1,6},{156,9,4},{212,40,16},{108,24,2},{218,61,27},{219,62,24},{165,9,6},{164,17,4},{220,48,16},{170,6,6},{226,69,27},{227,70,24},{173,17,6},{172,25,4},{228,56,16},{178,14,6},{234,77,27},{235,78,24},{181,25,6},{180,33,4},{236,64,16},{186,22,6},{243,86,27},{244,87,24},{190,34,6},{189,42,4},{245,73,16},{195,31,6},{251,94,27},
{252,95,24},{198,42,6},{197,50,4},{253,81,16},{203,39,6},{255,104,27},{255,107,24},{206,50,6},{205,58,4},{255,102,16},{211,47,6},{255,113,27},{255,123,24},{214,58,6},{213,66,4},{255,126,16},{219,55,6},{255,126,27},{253,172,28},{223,67,6},{222,75,4},{255,153,16},{174,2,1},{242,66,6},{254,182,28},{231,75,6},{230,83,4},{255,178,16},{182,10,1},{246,79,6},{255,190,28},{239,83,6},
{238,91,4},{255,202,16},{190,18,1},{251,89,6},{251,88,4},{247,91,6},{246,99,4},{255,227,16},{198,26,1},{255,102,6},{255,108,4},{255,102,6},{255,108,4},{255,0,0},{207,35,1},{255,117,6},{255,132,4},{255,117,6},{255,132,4},{255,0,0},{215,43,1},{254,167,7},{255,156,4},{254,167,7},{255,156,4},{255,0,0},{223,51,1},{255,175,7},{255,181,4},{255,175,7},{255,181,4},{255,0,0},
{231,59,1},{105,0,47},{105,0,44},{33,0,15},{33,0,12},{106,33,48},{0,0,0},{115,0,47},{114,2,44},{41,0,15},{41,0,12},{114,5,32},{0,0,0},{123,2,47},{124,3,44},{49,0,15},{49,0,12},{122,13,32},{0,0,0},{190,0,111},{190,0,108},{57,0,15},{57,0,12},{130,21,32},{0,0,0},{205,0,111},{205,0,108},{66,0,15},{66,0,12},{139,30,32},{0,0,0},{217,4,111},
{215,7,108},{74,4,15},{74,8,12},{218,3,96},{8,0,3},{229,8,111},{223,15,108},{80,0,11},{82,16,12},{226,11,96},{16,0,3},{237,13,111},{231,23,108},{89,0,11},{90,24,12},{234,19,96},{24,0,3},{251,17,111},{240,32,108},{99,0,11},{99,1,8},{243,28,96},{33,0,3},{169,0,27},{248,40,108},{108,2,11},{107,9,8},{251,36,96},{41,0,3},{181,0,27},{254,49,108},{166,0,27},
{115,17,8},{188,79,32},{49,0,3},{190,0,27},{255,59,108},{181,0,27},{123,25,8},{196,87,32},{57,0,3},{203,0,27},{203,0,24},{197,0,27},{196,2,24},{205,96,32},{66,0,3},{213,1,27},{212,3,24},{211,2,27},{204,10,24},{213,104,32},{74,1,3},{221,9,27},{220,11,24},{219,10,27},{212,18,24},{221,0,16},{82,9,3},{229,17,27},{228,19,24},{227,18,27},{220,26,24},{229,5,16},
{90,17,3},{238,26,27},{237,28,24},{236,27,27},{229,35,24},{238,14,16},{99,26,3},{246,34,27},{245,36,24},{244,35,27},{237,43,24},{246,22,16},{107,34,3},{254,42,27},{253,44,24},{252,43,27},{245,51,24},{254,30,16},{115,6,2},{255,52,27},{255,58,24},{255,52,27},{253,59,24},{255,53,16},{123,14,2},{255,64,27},{255,74,24},{196,0,6},{198,100,8},{255,80,16},{132,23,2},{255,74,27},
{255,89,24},{206,1,6},{206,4,4},{255,105,16},{140,31,2},{255,86,27},{253,147,28},{215,7,6},{214,12,4},{255,129,16},{219,4,6},{255,95,27},{255,155,28},{223,15,6},{222,20,4},{255,153,16},{227,12,6},{242,17,6},{255,166,28},{232,24,6},{231,29,4},{255,181,16},{236,21,6},{247,26,6},{255,175,28},{240,32,6},{239,37,4},{255,205,16},{244,29,6},{251,38,6},{251,37,4},{248,40,6},
{247,45,4},{255,230,16},{252,37,6},{255,50,6},{255,53,4},{255,50,6},{255,53,4},{255,0,0},{189,80,2},{255,65,6},{255,80,4},{255,65,6},{255,80,4},{255,0,0},{198,89,2},{252,131,7},{255,105,4},{252,131,7},{255,105,4},{255,0,0},{206,97,2},{254,139,7},{255,129,4},{253,141,7},{255,129,4},{255,0,0},{214,105,2},{255,150,7},{255,153,4},{255,150,7},{255,153,4},{255,0,0},
{222,0,1},{181,0,47},{178,0,44},{47,0,15},{47,0,12},{183,47,48},{0,0,0},{190,0,47},{190,0,44},{55,0,15},{55,0,12},{191,55,48},{0,0,0},{199,0,47},{199,0,44},{63,0,15},{63,0,12},{199,63,48},{0,0,0},{207,0,47},{207,1,44},{71,0,15},{71,0,12},{207,4,32},{0,0,0},{216,1,47},{218,3,44},{80,0,15},{80,0,12},{216,13,32},{0,0,0},{225,1,47},
{227,6,44},{88,0,15},{88,0,12},{224,21,32},{0,0,0},{233,2,47},{235,11,44},{96,1,15},{96,2,12},{232,29,32},{2,0,3},{241,4,47},{243,19,44},{104,5,15},{104,10,12},{240,37,32},{10,0,3},{251,5,47},{252,28,44},{113,9,15},{113,19,12},{249,46,32},{19,0,3},{255,9,47},{255,37,44},{117,0,11},{121,27,12},{255,55,32},{27,0,3},{255,9,47},{255,46,44},{126,0,11},
{129,35,12},{255,67,32},{35,0,3},{248,0,27},{255,55,44},{137,0,11},{137,43,12},{255,79,32},{43,0,3},{250,0,27},{255,64,44},{147,2,11},{146,6,8},{255,93,32},{52,0,3},{251,0,27},{255,73,44},{155,4,11},{154,14,8},{255,104,32},{60,0,3},{253,0,27},{248,0,24},{233,0,27},{162,22,8},{255,116,32},{68,0,3},{254,0,27},{254,0,24},{248,0,27},{170,30,8},{255,128,32},
{76,0,3},{255,1,27},{255,7,24},{255,1,27},{179,39,8},{255,22,16},{85,0,3},{255,2,27},{255,22,24},{255,7,27},{187,47,8},{255,47,16},{93,0,3},{255,4,27},{251,100,28},{182,0,7},{195,55,8},{255,71,16},{101,0,3},{255,4,27},{253,108,28},{191,0,7},{203,63,8},{255,95,16},{109,0,3},{255,7,27},{255,118,28},{200,0,7},{212,72,8},{255,123,16},{118,0,3},{246,0,7},
{255,129,28},{209,0,7},{220,80,8},{255,147,16},{126,0,3},{246,0,7},{255,138,28},{218,0,7},{228,88,8},{255,172,16},{134,0,3},{249,3,7},{245,91,8},{228,3,7},{236,96,8},{255,196,16},{142,6,3},{251,14,7},{250,102,8},{237,12,7},{245,105,8},{255,223,16},{151,15,3},{253,22,7},{254,112,8},{245,20,7},{253,113,8},{255,248,16},{159,23,3},{253,31,7},{255,124,8},{249,28,7},
{255,124,8},{255,0,0},{167,31,3},{254,39,7},{255,10,4},{252,37,7},{255,10,4},{255,0,0},{175,39,3},{255,48,7},{255,38,4},{254,48,7},{255,38,4},{255,0,0},{184,48,3},{255,56,7},{255,62,4},{255,56,7},{255,62,4},{255,0,0},{192,56,3},{255,65,7},{255,86,4},{255,65,7},{255,86,4},{255,0,0},{200,64,3},{255,74,7},{255,111,4},{255,77,7},{255,111,4},{255,0,0},
{208,5,2},
/**** ended inlining basisu_transcoder_tables_bc7_m5_alpha.inc ****/
};
static inline uint32_t set_block_bits(uint8_t* pBytes, uint32_t val, uint32_t num_bits, uint32_t cur_ofs)
{
assert(num_bits < 32);
assert(val < (1ULL << num_bits));
uint32_t mask = static_cast<uint32_t>((1ULL << num_bits) - 1);
while (num_bits)
{
const uint32_t n = basisu::minimum<uint32_t>(8 - (cur_ofs & 7), num_bits);
pBytes[cur_ofs >> 3] &= ~static_cast<uint8_t>(mask << (cur_ofs & 7));
pBytes[cur_ofs >> 3] |= static_cast<uint8_t>(val << (cur_ofs & 7));
val >>= n;
mask >>= n;
num_bits -= n;
cur_ofs += n;
}
return cur_ofs;
}
struct bc7_mode_5
{
union
{
struct
{
uint64_t m_mode : 6;
uint64_t m_rot : 2;
uint64_t m_r0 : 7;
uint64_t m_r1 : 7;
uint64_t m_g0 : 7;
uint64_t m_g1 : 7;
uint64_t m_b0 : 7;
uint64_t m_b1 : 7;
uint64_t m_a0 : 8;
uint64_t m_a1_0 : 6;
} m_lo;
uint64_t m_lo_bits;
};
union
{
struct
{
uint64_t m_a1_1 : 2;
// bit 2
uint64_t m_c00 : 1;
uint64_t m_c10 : 2;
uint64_t m_c20 : 2;
uint64_t m_c30 : 2;
uint64_t m_c01 : 2;
uint64_t m_c11 : 2;
uint64_t m_c21 : 2;
uint64_t m_c31 : 2;
uint64_t m_c02 : 2;
uint64_t m_c12 : 2;
uint64_t m_c22 : 2;
uint64_t m_c32 : 2;
uint64_t m_c03 : 2;
uint64_t m_c13 : 2;
uint64_t m_c23 : 2;
uint64_t m_c33 : 2;
// bit 33
uint64_t m_a00 : 1;
uint64_t m_a10 : 2;
uint64_t m_a20 : 2;
uint64_t m_a30 : 2;
uint64_t m_a01 : 2;
uint64_t m_a11 : 2;
uint64_t m_a21 : 2;
uint64_t m_a31 : 2;
uint64_t m_a02 : 2;
uint64_t m_a12 : 2;
uint64_t m_a22 : 2;
uint64_t m_a32 : 2;
uint64_t m_a03 : 2;
uint64_t m_a13 : 2;
uint64_t m_a23 : 2;
uint64_t m_a33 : 2;
} m_hi;
uint64_t m_hi_bits;
};
};
#if BASISD_WRITE_NEW_BC7_MODE5_TABLES
static void create_etc1_to_bc7_m5_color_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_bc7_m5_color.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_bc7_m5_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_bc7_m5_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 127; hi++)
{
for (uint32_t lo = 0; lo <= 127; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1) | (lo >> 6);
colors[3] = (hi << 1) | (hi >> 6);
colors[1] = (colors[0] * (64 - 21) + colors[3] * 21 + 32) / 64;
colors[2] = (colors[0] * (64 - 43) + colors[3] * 43 + 32) / 64;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_bc7_m5_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
static void create_etc1_to_bc7_m5_alpha_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_bc7_m5_alpha.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_bc7_m5a_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_bc7_m5a_selector_ranges[sr].m_high;
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
uint32_t best_output_selectors = 0;
for (uint32_t hi = 0; hi <= 255; hi++)
{
for (uint32_t lo = 0; lo <= 255; lo++)
{
uint32_t colors[4];
colors[0] = lo;
colors[3] = hi;
colors[1] = (colors[0] * (64 - 21) + colors[3] * 21 + 32) / 64;
colors[2] = (colors[0] * (64 - 43) + colors[3] * 43 + 32) / 64;
uint64_t total_err = 0;
uint32_t output_selectors = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int best_mapping_err = INT_MAX;
int best_k = 0;
for (int k = 0; k < 4; k++)
{
int mapping_err = block_colors[s].g - colors[k];
mapping_err *= mapping_err;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
mapping_err *= 5;
if (mapping_err < best_mapping_err)
{
best_mapping_err = mapping_err;
best_k = k;
}
} // k
total_err += best_mapping_err;
output_selectors |= (best_k << (s * 2));
} // s
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
best_output_selectors = output_selectors;
}
} // lo
} // hi
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, best_output_selectors);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // sr
} // g
} // inten
fclose(pFile);
}
#endif // BASISD_WRITE_NEW_BC7_MODE5_TABLES
struct bc7_m5_match_entry
{
uint8_t m_hi;
uint8_t m_lo;
};
static bc7_m5_match_entry g_bc7_m5_equals_1[256] =
{
{0,0},{1,0},{3,0},{4,0},{6,0},{7,0},{9,0},{10,0},{12,0},{13,0},{15,0},{16,0},{18,0},{20,0},{21,0},{23,0},
{24,0},{26,0},{27,0},{29,0},{30,0},{32,0},{33,0},{35,0},{36,0},{38,0},{39,0},{41,0},{42,0},{44,0},{45,0},{47,0},
{48,0},{50,0},{52,0},{53,0},{55,0},{56,0},{58,0},{59,0},{61,0},{62,0},{64,0},{65,0},{66,0},{68,0},{69,0},{71,0},
{72,0},{74,0},{75,0},{77,0},{78,0},{80,0},{82,0},{83,0},{85,0},{86,0},{88,0},{89,0},{91,0},{92,0},{94,0},{95,0},
{97,0},{98,0},{100,0},{101,0},{103,0},{104,0},{106,0},{107,0},{109,0},{110,0},{112,0},{114,0},{115,0},{117,0},{118,0},{120,0},
{121,0},{123,0},{124,0},{126,0},{127,0},{127,1},{126,2},{126,3},{127,3},{127,4},{126,5},{126,6},{127,6},{127,7},{126,8},{126,9},
{127,9},{127,10},{126,11},{126,12},{127,12},{127,13},{126,14},{125,15},{127,15},{126,16},{126,17},{127,17},{127,18},{126,19},{126,20},{127,20},
{127,21},{126,22},{126,23},{127,23},{127,24},{126,25},{126,26},{127,26},{127,27},{126,28},{126,29},{127,29},{127,30},{126,31},{126,32},{127,32},
{127,33},{126,34},{126,35},{127,35},{127,36},{126,37},{126,38},{127,38},{127,39},{126,40},{126,41},{127,41},{127,42},{126,43},{126,44},{127,44},
{127,45},{126,46},{125,47},{127,47},{126,48},{126,49},{127,49},{127,50},{126,51},{126,52},{127,52},{127,53},{126,54},{126,55},{127,55},{127,56},
{126,57},{126,58},{127,58},{127,59},{126,60},{126,61},{127,61},{127,62},{126,63},{125,64},{126,64},{126,65},{127,65},{127,66},{126,67},{126,68},
{127,68},{127,69},{126,70},{126,71},{127,71},{127,72},{126,73},{126,74},{127,74},{127,75},{126,76},{125,77},{127,77},{126,78},{126,79},{127,79},
{127,80},{126,81},{126,82},{127,82},{127,83},{126,84},{126,85},{127,85},{127,86},{126,87},{126,88},{127,88},{127,89},{126,90},{126,91},{127,91},
{127,92},{126,93},{126,94},{127,94},{127,95},{126,96},{126,97},{127,97},{127,98},{126,99},{126,100},{127,100},{127,101},{126,102},{126,103},{127,103},
{127,104},{126,105},{126,106},{127,106},{127,107},{126,108},{125,109},{127,109},{126,110},{126,111},{127,111},{127,112},{126,113},{126,114},{127,114},{127,115},
{126,116},{126,117},{127,117},{127,118},{126,119},{126,120},{127,120},{127,121},{126,122},{126,123},{127,123},{127,124},{126,125},{126,126},{127,126},{127,127}
};
static void transcoder_init_bc7_mode5()
{
#if 0
// This is a little too much work to do at init time, so precompute it.
for (int i = 0; i < 256; i++)
{
int lowest_e = 256;
for (int lo = 0; lo < 128; lo++)
{
for (int hi = 0; hi < 128; hi++)
{
const int lo_e = (lo << 1) | (lo >> 6);
const int hi_e = (hi << 1) | (hi >> 6);
// Selector 1
int v = (lo_e * (64 - 21) + hi_e * 21 + 32) >> 6;
int e = abs(v - i);
if (e < lowest_e)
{
g_bc7_m5_equals_1[i].m_hi = static_cast<uint8_t>(hi);
g_bc7_m5_equals_1[i].m_lo = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // hi
} // lo
printf("{%u,%u},", g_bc7_m5_equals_1[i].m_hi, g_bc7_m5_equals_1[i].m_lo);
if ((i & 15) == 15) printf("\n");
}
#endif
for (uint32_t i = 0; i < NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_bc7_m5_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_bc7_m5_selector_ranges[i].m_high;
g_etc1_to_bc7_m5_selector_range_index[l][h] = i;
}
for (uint32_t i = 0; i < NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_bc7_m5a_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_bc7_m5a_selector_ranges[i].m_high;
g_etc1_to_bc7_m5a_selector_range_index[l][h] = i;
}
}
static void convert_etc1s_to_bc7_m5_color(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
bc7_mode_5* pDst_block = static_cast<bc7_mode_5*>(pDst);
// First ensure the block is cleared to all 0's
static_cast<uint64_t*>(pDst)[0] = 0;
static_cast<uint64_t*>(pDst)[1] = 0;
// Set alpha to 255
pDst_block->m_lo.m_mode = 1 << 5;
pDst_block->m_lo.m_a0 = 255;
pDst_block->m_lo.m_a1_0 = 63;
pDst_block->m_hi.m_a1_1 = 3;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const uint32_t base_color_r = pEndpoints->m_color5.r;
const uint32_t base_color_g = pEndpoints->m_color5.g;
const uint32_t base_color_b = pEndpoints->m_color5.b;
const uint32_t inten_table = pEndpoints->m_inten5;
if (pSelector->m_num_unique_selectors == 1)
{
// Solid color block - use precomputed tables and set selectors to 1.
uint32_t r, g, b;
decoder_etc_block::get_block_color5(pEndpoints->m_color5, inten_table, low_selector, r, g, b);
pDst_block->m_lo.m_r0 = g_bc7_m5_equals_1[r].m_lo;
pDst_block->m_lo.m_g0 = g_bc7_m5_equals_1[g].m_lo;
pDst_block->m_lo.m_b0 = g_bc7_m5_equals_1[b].m_lo;
pDst_block->m_lo.m_r1 = g_bc7_m5_equals_1[r].m_hi;
pDst_block->m_lo.m_g1 = g_bc7_m5_equals_1[g].m_hi;
pDst_block->m_lo.m_b1 = g_bc7_m5_equals_1[b].m_hi;
set_block_bits((uint8_t*)pDst, 0x2aaaaaab, 31, 66);
return;
}
else if (pSelector->m_num_unique_selectors == 2)
{
// Only one or two unique selectors, so just switch to block truncation coding (BTC) to avoid quality issues on extreme blocks.
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, color32(base_color_r, base_color_g, base_color_b, 255), inten_table);
const uint32_t r0 = block_colors[low_selector].r;
const uint32_t g0 = block_colors[low_selector].g;
const uint32_t b0 = block_colors[low_selector].b;
const uint32_t r1 = block_colors[high_selector].r;
const uint32_t g1 = block_colors[high_selector].g;
const uint32_t b1 = block_colors[high_selector].b;
pDst_block->m_lo.m_r0 = r0 >> 1;
pDst_block->m_lo.m_g0 = g0 >> 1;
pDst_block->m_lo.m_b0 = b0 >> 1;
pDst_block->m_lo.m_r1 = r1 >> 1;
pDst_block->m_lo.m_g1 = g1 >> 1;
pDst_block->m_lo.m_b1 = b1 >> 1;
uint32_t output_low_selector = 0, output_bit_offset = 0, output_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t os = (s == low_selector) ? output_low_selector : (3 ^ output_low_selector);
uint32_t num_bits = 2;
if ((x | y) == 0)
{
if (os & 2)
{
pDst_block->m_lo.m_r0 = r1 >> 1;
pDst_block->m_lo.m_g0 = g1 >> 1;
pDst_block->m_lo.m_b0 = b1 >> 1;
pDst_block->m_lo.m_r1 = r0 >> 1;
pDst_block->m_lo.m_g1 = g0 >> 1;
pDst_block->m_lo.m_b1 = b0 >> 1;
output_low_selector = 3;
os = 0;
}
num_bits = 1;
}
output_bits |= (os << output_bit_offset);
output_bit_offset += num_bits;
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 66);
return;
}
const uint32_t selector_range_table = g_etc1_to_bc7_m5_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_bc7_m5_solution* pTable_r = &g_etc1_to_bc7_m5_color[(inten_table * 32 + base_color_r) * (NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS];
const etc1_to_bc7_m5_solution* pTable_g = &g_etc1_to_bc7_m5_color[(inten_table * 32 + base_color_g) * (NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS];
const etc1_to_bc7_m5_solution* pTable_b = &g_etc1_to_bc7_m5_color[(inten_table * 32 + base_color_b) * (NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
const uint8_t* pSelectors_xlat = &g_etc1_to_bc7_m5_selector_mappings[best_mapping][0];
uint32_t s_inv = 0;
if (pSelectors_xlat[pSelector->get_selector(0, 0)] & 2)
{
pDst_block->m_lo.m_r0 = pTable_r[best_mapping].m_hi;
pDst_block->m_lo.m_g0 = pTable_g[best_mapping].m_hi;
pDst_block->m_lo.m_b0 = pTable_b[best_mapping].m_hi;
pDst_block->m_lo.m_r1 = pTable_r[best_mapping].m_lo;
pDst_block->m_lo.m_g1 = pTable_g[best_mapping].m_lo;
pDst_block->m_lo.m_b1 = pTable_b[best_mapping].m_lo;
s_inv = 3;
}
else
{
pDst_block->m_lo.m_r0 = pTable_r[best_mapping].m_lo;
pDst_block->m_lo.m_g0 = pTable_g[best_mapping].m_lo;
pDst_block->m_lo.m_b0 = pTable_b[best_mapping].m_lo;
pDst_block->m_lo.m_r1 = pTable_r[best_mapping].m_hi;
pDst_block->m_lo.m_g1 = pTable_g[best_mapping].m_hi;
pDst_block->m_lo.m_b1 = pTable_b[best_mapping].m_hi;
}
uint32_t output_bits = 0, output_bit_ofs = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t s = pSelector->get_selector(x, y);
const uint32_t os = pSelectors_xlat[s] ^ s_inv;
output_bits |= (os << output_bit_ofs);
output_bit_ofs += (((x | y) == 0) ? 1 : 2);
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 66);
}
static void convert_etc1s_to_bc7_m5_alpha(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
bc7_mode_5* pDst_block = static_cast<bc7_mode_5*>(pDst);
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const uint32_t base_color_r = pEndpoints->m_color5.r;
const uint32_t inten_table = pEndpoints->m_inten5;
if (pSelector->m_num_unique_selectors == 1)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(pEndpoints->m_color5, inten_table, low_selector, r);
pDst_block->m_lo.m_a0 = r;
pDst_block->m_lo.m_a1_0 = r & 63;
pDst_block->m_hi.m_a1_1 = r >> 6;
return;
}
else if (pSelector->m_num_unique_selectors == 2)
{
// Only one or two unique selectors, so just switch to block truncation coding (BTC) to avoid quality issues on extreme blocks.
int block_colors[4];
decoder_etc_block::get_block_colors5_g(block_colors, pEndpoints->m_color5, inten_table);
pDst_block->m_lo.m_a0 = block_colors[low_selector];
pDst_block->m_lo.m_a1_0 = block_colors[high_selector] & 63;
pDst_block->m_hi.m_a1_1 = block_colors[high_selector] >> 6;
uint32_t output_low_selector = 0, output_bit_offset = 0, output_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t s = pSelector->get_selector(x, y);
uint32_t os = (s == low_selector) ? output_low_selector : (3 ^ output_low_selector);
uint32_t num_bits = 2;
if ((x | y) == 0)
{
if (os & 2)
{
pDst_block->m_lo.m_a0 = block_colors[high_selector];
pDst_block->m_lo.m_a1_0 = block_colors[low_selector] & 63;
pDst_block->m_hi.m_a1_1 = block_colors[low_selector] >> 6;
output_low_selector = 3;
os = 0;
}
num_bits = 1;
}
output_bits |= (os << output_bit_offset);
output_bit_offset += num_bits;
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 97);
return;
}
const uint32_t selector_range_table = g_etc1_to_bc7_m5a_selector_range_index[low_selector][high_selector];
const etc1_g_to_bc7_m5a_conversion* pTable = &g_etc1_g_to_bc7_m5a[inten_table * (32 * NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES) + base_color_r * NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES + selector_range_table];
pDst_block->m_lo.m_a0 = pTable->m_lo;
pDst_block->m_lo.m_a1_0 = pTable->m_hi & 63;
pDst_block->m_hi.m_a1_1 = pTable->m_hi >> 6;
uint32_t output_bit_offset = 0, output_bits = 0, selector_trans = pTable->m_trans;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t s = pSelector->get_selector(x, y);
uint32_t os = (selector_trans >> (s * 2)) & 3;
uint32_t num_bits = 2;
if ((x | y) == 0)
{
if (os & 2)
{
pDst_block->m_lo.m_a0 = pTable->m_hi;
pDst_block->m_lo.m_a1_0 = pTable->m_lo & 63;
pDst_block->m_hi.m_a1_1 = pTable->m_lo >> 6;
selector_trans ^= 0xFF;
os ^= 3;
}
num_bits = 1;
}
output_bits |= (os << output_bit_offset);
output_bit_offset += num_bits;
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 97);
}
#endif // BASISD_SUPPORT_BC7_MODE5
#if BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_UASTC
static const uint8_t g_etc2_eac_a8_sel4[6] = { 0x92, 0x49, 0x24, 0x92, 0x49, 0x24 };
#endif
#if BASISD_SUPPORT_ETC2_EAC_A8
static void convert_etc1s_to_etc2_eac_a8(eac_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector)
{
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(base_color, inten_table, low_selector, r);
// Constant alpha block
// Select table 13, use selector 4 (0), set multiplier to 1 and base color g
pDst_block->m_base = r;
pDst_block->m_table = 13;
pDst_block->m_multiplier = 1;
// selectors are all 4's
memcpy(pDst_block->m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
uint32_t selector_range_table = 0;
for (selector_range_table = 0; selector_range_table < NUM_ETC2_EAC_SELECTOR_RANGES; selector_range_table++)
if ((low_selector == s_etc2_eac_selector_ranges[selector_range_table].m_low) && (high_selector == s_etc2_eac_selector_ranges[selector_range_table].m_high))
break;
if (selector_range_table >= NUM_ETC2_EAC_SELECTOR_RANGES)
selector_range_table = 0;
const etc1_g_to_eac_conversion* pTable_entry = &s_etc1_g_to_etc2_a8[base_color.r + inten_table * 32][selector_range_table];
pDst_block->m_base = pTable_entry->m_base;
pDst_block->m_table = pTable_entry->m_table_mul >> 4;
pDst_block->m_multiplier = pTable_entry->m_table_mul & 15;
uint64_t selector_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t ds = (pTable_entry->m_trans >> (s * 3)) & 7;
const uint32_t dst_ofs = 45 - (y + x * 4) * 3;
selector_bits |= (static_cast<uint64_t>(ds) << dst_ofs);
}
}
pDst_block->set_selector_bits(selector_bits);
}
#endif // BASISD_SUPPORT_ETC2_EAC_A8
#if BASISD_SUPPORT_ETC2_EAC_RG11
static const etc1_g_to_eac_conversion s_etc1_g_to_etc2_r11[32 * 8][NUM_ETC2_EAC_SELECTOR_RANGES] =
{
{{0,1,3328},{0,1,3328},{0,16,457},{0,16,456}},
{{0,226,3936},{0,226,3936},{0,17,424},{8,0,472}},
{{6,178,4012},{6,178,4008},{0,146,501},{16,0,472}},
{{14,178,4012},{14,178,4008},{8,146,501},{24,0,472}},
{{23,178,4012},{23,178,4008},{17,146,501},{33,0,472}},
{{31,178,4012},{31,178,4008},{25,146,501},{41,0,472}},
{{39,178,4012},{39,178,4008},{33,146,501},{49,0,472}},
{{47,178,4012},{47,178,4008},{41,146,501},{27,228,496}},
{{56,178,4012},{56,178,4008},{50,146,501},{36,228,496}},
{{64,178,4012},{64,178,4008},{58,146,501},{44,228,496}},
{{72,178,4012},{72,178,4008},{66,146,501},{52,228,496}},
{{80,178,4012},{80,178,4008},{74,146,501},{60,228,496}},
{{89,178,4012},{89,178,4008},{83,146,501},{69,228,496}},
{{97,178,4012},{97,178,4008},{91,146,501},{77,228,496}},
{{105,178,4012},{105,178,4008},{99,146,501},{85,228,496}},
{{113,178,4012},{113,178,4008},{107,146,501},{93,228,496}},
{{122,178,4012},{122,178,4008},{116,146,501},{102,228,496}},
{{130,178,4012},{130,178,4008},{124,146,501},{110,228,496}},
{{138,178,4012},{138,178,4008},{132,146,501},{118,228,496}},
{{146,178,4012},{146,178,4008},{140,146,501},{126,228,496}},
{{155,178,4012},{155,178,4008},{149,146,501},{135,228,496}},
{{163,178,4012},{163,178,4008},{157,146,501},{143,228,496}},
{{171,178,4012},{171,178,4008},{165,146,501},{151,228,496}},
{{179,178,4012},{179,178,4008},{173,146,501},{159,228,496}},
{{188,178,4012},{188,178,4008},{182,146,501},{168,228,496}},
{{196,178,4012},{196,178,4008},{190,146,501},{176,228,496}},
{{204,178,4012},{204,178,4008},{198,146,501},{184,228,496}},
{{212,178,4012},{212,178,4008},{206,146,501},{192,228,496}},
{{221,178,4012},{221,178,4008},{215,146,501},{201,228,496}},
{{229,178,4012},{229,178,4008},{223,146,501},{209,228,496}},
{{235,66,4012},{221,100,4008},{231,146,501},{217,228,496}},
{{211,102,4085},{254,32,4040},{211,102,501},{254,32,456}},
{{0,2,3328},{0,2,3328},{0,1,320},{0,1,320}},
{{7,162,3905},{7,162,3904},{0,17,480},{0,17,480}},
{{15,162,3906},{15,162,3904},{1,117,352},{1,117,352}},
{{23,162,3906},{23,162,3904},{5,34,500},{4,53,424}},
{{32,162,3906},{32,162,3904},{14,34,500},{3,69,424}},
{{40,162,3906},{40,162,3904},{22,34,500},{1,133,496}},
{{48,162,3906},{48,162,3904},{30,34,500},{4,85,496}},
{{56,162,3906},{56,162,3904},{38,34,500},{12,85,496}},
{{65,162,3906},{65,162,3904},{47,34,500},{1,106,424}},
{{73,162,3906},{73,162,3904},{55,34,500},{9,106,424}},
{{81,162,3906},{81,162,3904},{63,34,500},{7,234,496}},
{{89,162,3906},{89,162,3904},{71,34,500},{15,234,496}},
{{98,162,3906},{98,162,3904},{80,34,500},{24,234,496}},
{{106,162,3906},{106,162,3904},{88,34,500},{32,234,496}},
{{114,162,3906},{114,162,3904},{96,34,500},{40,234,496}},
{{122,162,3906},{122,162,3904},{104,34,500},{48,234,496}},
{{131,162,3906},{131,162,3904},{113,34,500},{57,234,496}},
{{139,162,3906},{139,162,3904},{121,34,500},{65,234,496}},
{{147,162,3906},{147,162,3904},{129,34,500},{73,234,496}},
{{155,162,3906},{155,162,3904},{137,34,500},{81,234,496}},
{{164,162,3906},{164,162,3904},{146,34,500},{90,234,496}},
{{172,162,3906},{172,162,3904},{154,34,500},{98,234,496}},
{{180,162,3906},{180,162,3904},{162,34,500},{106,234,496}},
{{188,162,3906},{188,162,3904},{170,34,500},{114,234,496}},
{{197,162,3906},{197,162,3904},{179,34,500},{123,234,496}},
{{205,162,3906},{205,162,3904},{187,34,500},{131,234,496}},
{{213,162,3906},{213,162,3904},{195,34,500},{139,234,496}},
{{221,162,3906},{221,162,3904},{203,34,500},{147,234,496}},
{{230,162,3906},{230,162,3904},{212,34,500},{156,234,496}},
{{238,162,3906},{174,106,4008},{220,34,500},{164,234,496}},
{{240,178,4001},{182,106,4008},{228,34,500},{172,234,496}},
{{166,108,4085},{115,31,4080},{166,108,501},{115,31,496}},
{{1,68,3328},{1,68,3328},{0,1,384},{0,1,384}},
{{1,51,3968},{1,51,3968},{0,2,384},{0,2,384}},
{{21,18,3851},{21,18,3848},{1,50,488},{1,50,488}},
{{26,195,3851},{29,18,3848},{0,67,488},{0,67,488}},
{{35,195,3851},{38,18,3848},{12,115,488},{0,3,496}},
{{43,195,3851},{46,18,3848},{20,115,488},{2,6,424}},
{{51,195,3851},{54,18,3848},{36,66,482},{4,22,424}},
{{59,195,3851},{62,18,3848},{44,66,482},{3,73,424}},
{{68,195,3851},{71,18,3848},{53,66,482},{3,22,496}},
{{76,195,3851},{79,18,3848},{61,66,482},{2,137,496}},
{{84,195,3851},{87,18,3848},{69,66,482},{1,89,496}},
{{92,195,3851},{95,18,3848},{77,66,482},{9,89,496}},
{{101,195,3851},{104,18,3848},{86,66,482},{18,89,496}},
{{109,195,3851},{112,18,3848},{94,66,482},{26,89,496}},
{{117,195,3851},{120,18,3848},{102,66,482},{34,89,496}},
{{125,195,3851},{128,18,3848},{110,66,482},{42,89,496}},
{{134,195,3851},{137,18,3848},{119,66,482},{51,89,496}},
{{141,195,3907},{145,18,3848},{127,66,482},{59,89,496}},
{{149,195,3907},{153,18,3848},{135,66,482},{67,89,496}},
{{157,195,3907},{161,18,3848},{143,66,482},{75,89,496}},
{{166,195,3907},{170,18,3848},{152,66,482},{84,89,496}},
{{174,195,3907},{178,18,3848},{160,66,482},{92,89,496}},
{{182,195,3907},{186,18,3848},{168,66,482},{100,89,496}},
{{190,195,3907},{194,18,3848},{176,66,482},{108,89,496}},
{{199,195,3907},{203,18,3848},{185,66,482},{117,89,496}},
{{207,195,3907},{211,18,3848},{193,66,482},{125,89,496}},
{{215,195,3907},{219,18,3848},{201,66,482},{133,89,496}},
{{223,195,3907},{227,18,3848},{209,66,482},{141,89,496}},
{{232,195,3907},{168,89,4008},{218,66,482},{150,89,496}},
{{236,18,3907},{176,89,4008},{226,66,482},{158,89,496}},
{{158,90,4085},{103,31,4080},{158,90,501},{103,31,496}},
{{166,90,4085},{111,31,4080},{166,90,501},{111,31,496}},
{{0,70,3328},{0,70,3328},{0,17,448},{0,17,448}},
{{0,117,3904},{0,117,3904},{0,35,384},{0,35,384}},
{{13,165,3905},{13,165,3904},{2,211,480},{2,211,480}},
{{21,165,3906},{21,165,3904},{1,51,488},{1,51,488}},
{{30,165,3906},{30,165,3904},{7,61,352},{7,61,352}},
{{38,165,3906},{38,165,3904},{2,125,352},{2,125,352}},
{{46,165,3906},{46,165,3904},{1,37,500},{10,125,352}},
{{54,165,3906},{54,165,3904},{9,37,500},{5,61,424}},
{{63,165,3906},{63,165,3904},{18,37,500},{1,189,424}},
{{71,165,3906},{71,165,3904},{26,37,500},{9,189,424}},
{{79,165,3906},{79,165,3904},{34,37,500},{4,77,424}},
{{87,165,3906},{87,165,3904},{42,37,500},{12,77,424}},
{{96,165,3906},{96,165,3904},{51,37,500},{8,93,424}},
{{104,165,3906},{104,165,3904},{59,37,500},{3,141,496}},
{{112,165,3906},{112,165,3904},{68,37,500},{11,141,496}},
{{120,165,3906},{120,165,3904},{76,37,500},{6,93,496}},
{{129,165,3906},{129,165,3904},{85,37,500},{15,93,496}},
{{70,254,4012},{137,165,3904},{93,37,500},{23,93,496}},
{{145,165,3906},{145,165,3904},{101,37,500},{31,93,496}},
{{86,254,4012},{153,165,3904},{109,37,500},{39,93,496}},
{{163,165,3906},{162,165,3904},{118,37,500},{48,93,496}},
{{171,165,3906},{170,165,3904},{126,37,500},{56,93,496}},
{{179,165,3906},{178,165,3904},{134,37,500},{64,93,496}},
{{187,165,3906},{187,165,3904},{142,37,500},{72,93,496}},
{{196,165,3906},{196,165,3904},{151,37,500},{81,93,496}},
{{204,165,3906},{204,165,3904},{159,37,500},{89,93,496}},
{{212,165,3906},{136,77,4008},{167,37,500},{97,93,496}},
{{220,165,3906},{131,93,4008},{175,37,500},{105,93,496}},
{{214,181,4001},{140,93,4008},{184,37,500},{114,93,496}},
{{222,181,4001},{148,93,4008},{192,37,500},{122,93,496}},
{{115,95,4085},{99,31,4080},{115,95,501},{99,31,496}},
{{123,95,4085},{107,31,4080},{123,95,501},{107,31,496}},
{{0,102,3840},{0,102,3840},{0,18,384},{0,18,384}},
{{5,167,3904},{5,167,3904},{0,13,256},{0,13,256}},
{{4,54,3968},{4,54,3968},{1,67,448},{1,67,448}},
{{30,198,3850},{30,198,3848},{0,3,480},{0,3,480}},
{{39,198,3850},{39,198,3848},{3,52,488},{3,52,488}},
{{47,198,3851},{47,198,3848},{3,4,488},{3,4,488}},
{{55,198,3851},{55,198,3848},{1,70,488},{1,70,488}},
{{53,167,3906},{63,198,3848},{3,22,488},{3,22,488}},
{{62,167,3906},{72,198,3848},{24,118,488},{0,6,496}},
{{70,167,3906},{80,198,3848},{32,118,488},{2,89,488}},
{{78,167,3906},{88,198,3848},{40,118,488},{1,73,496}},
{{86,167,3906},{96,198,3848},{48,118,488},{0,28,424}},
{{95,167,3906},{105,198,3848},{57,118,488},{9,28,424}},
{{103,167,3906},{113,198,3848},{65,118,488},{5,108,496}},
{{111,167,3906},{121,198,3848},{73,118,488},{13,108,496}},
{{119,167,3906},{129,198,3848},{81,118,488},{21,108,496}},
{{128,167,3906},{138,198,3848},{90,118,488},{6,28,496}},
{{136,167,3906},{146,198,3848},{98,118,488},{14,28,496}},
{{145,167,3906},{154,198,3848},{106,118,488},{22,28,496}},
{{153,167,3906},{162,198,3848},{114,118,488},{30,28,496}},
{{162,167,3906},{171,198,3848},{123,118,488},{39,28,496}},
{{170,167,3906},{179,198,3848},{131,118,488},{47,28,496}},
{{178,167,3906},{187,198,3848},{139,118,488},{55,28,496}},
{{186,167,3906},{195,198,3848},{147,118,488},{63,28,496}},
{{194,167,3906},{120,12,4008},{156,118,488},{72,28,496}},
{{206,198,3907},{116,28,4008},{164,118,488},{80,28,496}},
{{214,198,3907},{124,28,4008},{172,118,488},{88,28,496}},
{{222,198,3395},{132,28,4008},{180,118,488},{96,28,496}},
{{207,134,4001},{141,28,4008},{189,118,488},{105,28,496}},
{{95,30,4085},{86,31,4080},{95,30,501},{86,31,496}},
{{103,30,4085},{94,31,4080},{103,30,501},{94,31,496}},
{{111,30,4085},{102,31,4080},{111,30,501},{102,31,496}},
{{0,104,3840},{0,104,3840},{0,18,448},{0,18,448}},
{{4,39,3904},{4,39,3904},{0,4,384},{0,4,384}},
{{0,56,3968},{0,56,3968},{0,84,448},{0,84,448}},
{{6,110,3328},{6,110,3328},{0,20,448},{0,20,448}},
{{41,200,3850},{41,200,3848},{1,4,480},{1,4,480}},
{{49,200,3850},{49,200,3848},{1,8,416},{1,8,416}},
{{57,200,3851},{57,200,3848},{1,38,488},{1,38,488}},
{{65,200,3851},{65,200,3848},{1,120,488},{1,120,488}},
{{74,200,3851},{74,200,3848},{2,72,488},{2,72,488}},
{{68,6,3907},{82,200,3848},{2,24,488},{2,24,488}},
{{77,6,3907},{90,200,3848},{26,120,488},{10,24,488}},
{{97,63,3330},{98,200,3848},{34,120,488},{2,8,496}},
{{106,63,3330},{107,200,3848},{43,120,488},{3,92,488}},
{{114,63,3330},{115,200,3848},{51,120,488},{11,92,488}},
{{122,63,3330},{123,200,3848},{59,120,488},{7,76,496}},
{{130,63,3330},{131,200,3848},{67,120,488},{15,76,496}},
{{139,63,3330},{140,200,3848},{76,120,488},{24,76,496}},
{{147,63,3330},{148,200,3848},{84,120,488},{32,76,496}},
{{155,63,3330},{156,200,3848},{92,120,488},{40,76,496}},
{{164,63,3330},{164,200,3848},{100,120,488},{48,76,496}},
{{173,63,3330},{173,200,3848},{109,120,488},{57,76,496}},
{{184,6,3851},{181,200,3848},{117,120,488},{65,76,496}},
{{192,6,3851},{133,28,3936},{125,120,488},{73,76,496}},
{{189,200,3907},{141,28,3936},{133,120,488},{81,76,496}},
{{198,200,3907},{138,108,4000},{142,120,488},{90,76,496}},
{{206,200,3907},{146,108,4000},{150,120,488},{98,76,496}},
{{214,200,3395},{154,108,4000},{158,120,488},{106,76,496}},
{{190,136,4001},{162,108,4000},{166,120,488},{114,76,496}},
{{123,30,4076},{87,15,4080},{123,30,492},{87,15,496}},
{{117,110,4084},{80,31,4080},{117,110,500},{80,31,496}},
{{125,110,4084},{88,31,4080},{125,110,500},{88,31,496}},
{{133,110,4084},{96,31,4080},{133,110,500},{96,31,496}},
{{9,56,3904},{9,56,3904},{0,67,448},{0,67,448}},
{{1,8,3904},{1,8,3904},{1,84,448},{1,84,448}},
{{1,124,3904},{1,124,3904},{0,39,384},{0,39,384}},
{{9,124,3904},{9,124,3904},{1,4,448},{1,4,448}},
{{6,76,3904},{6,76,3904},{0,70,448},{0,70,448}},
{{62,6,3859},{62,6,3856},{2,38,480},{2,38,480}},
{{70,6,3859},{70,6,3856},{5,43,416},{5,43,416}},
{{78,6,3859},{78,6,3856},{2,11,416},{2,11,416}},
{{87,6,3859},{87,6,3856},{0,171,488},{0,171,488}},
{{67,8,3906},{95,6,3856},{8,171,488},{8,171,488}},
{{75,8,3907},{103,6,3856},{5,123,488},{5,123,488}},
{{83,8,3907},{111,6,3856},{2,75,488},{2,75,488}},
{{92,8,3907},{120,6,3856},{0,27,488},{0,27,488}},
{{100,8,3907},{128,6,3856},{8,27,488},{8,27,488}},
{{120,106,3843},{136,6,3856},{99,6,387},{16,27,488}},
{{128,106,3843},{144,6,3856},{107,6,387},{2,11,496}},
{{137,106,3843},{153,6,3856},{117,6,387},{11,11,496}},
{{145,106,3843},{161,6,3856},{125,6,387},{19,11,496}},
{{163,8,3851},{137,43,3904},{133,6,387},{27,11,496}},
{{171,8,3851},{145,43,3904},{141,6,387},{35,11,496}},
{{180,8,3851},{110,11,4000},{150,6,387},{44,11,496}},
{{188,8,3851},{118,11,4000},{158,6,387},{52,11,496}},
{{172,72,3907},{126,11,4000},{166,6,387},{60,11,496}},
{{174,6,3971},{134,11,4000},{174,6,387},{68,11,496}},
{{183,6,3971},{143,11,4000},{183,6,387},{77,11,496}},
{{191,6,3971},{151,11,4000},{191,6,387},{85,11,496}},
{{199,6,3971},{159,11,4000},{199,6,387},{93,11,496}},
{{92,12,4084},{69,15,4080},{92,12,500},{69,15,496}},
{{101,12,4084},{78,15,4080},{101,12,500},{78,15,496}},
{{110,12,4084},{86,15,4080},{110,12,500},{86,15,496}},
{{118,12,4084},{79,31,4080},{118,12,500},{79,31,496}},
{{126,12,4084},{87,31,4080},{126,12,500},{87,31,496}},
{{71,8,3602},{71,8,3600},{2,21,384},{2,21,384}},
{{79,8,3611},{79,8,3608},{0,69,448},{0,69,448}},
{{87,8,3611},{87,8,3608},{0,23,384},{0,23,384}},
{{95,8,3611},{95,8,3608},{1,5,448},{1,5,448}},
{{104,8,3611},{104,8,3608},{0,88,448},{0,88,448}},
{{112,8,3611},{112,8,3608},{0,72,448},{0,72,448}},
{{120,8,3611},{121,8,3608},{36,21,458},{36,21,456}},
{{133,47,3091},{129,8,3608},{44,21,458},{44,21,456}},
{{142,47,3091},{138,8,3608},{53,21,459},{53,21,456}},
{{98,12,3850},{98,12,3848},{61,21,459},{61,21,456}},
{{106,12,3850},{106,12,3848},{10,92,480},{69,21,456}},
{{114,12,3851},{114,12,3848},{18,92,480},{77,21,456}},
{{123,12,3851},{123,12,3848},{3,44,488},{86,21,456}},
{{95,12,3906},{95,12,3904},{11,44,488},{94,21,456}},
{{103,12,3906},{103,12,3904},{19,44,488},{102,21,456}},
{{111,12,3907},{111,12,3904},{27,44,489},{110,21,456}},
{{120,12,3907},{120,12,3904},{36,44,489},{119,21,456}},
{{128,12,3907},{128,12,3904},{44,44,489},{127,21,456}},
{{136,12,3907},{136,12,3904},{52,44,489},{135,21,456}},
{{144,12,3907},{144,12,3904},{60,44,490},{144,21,456}},
{{153,12,3907},{153,12,3904},{69,44,490},{153,21,456}},
{{161,12,3395},{149,188,3968},{77,44,490},{161,21,456}},
{{169,12,3395},{199,21,3928},{85,44,490},{169,21,456}},
{{113,95,4001},{202,69,3992},{125,8,483},{177,21,456}},
{{122,95,4001},{201,21,3984},{134,8,483},{186,21,456}},
{{143,8,4067},{209,21,3984},{142,8,483},{194,21,456}},
{{151,8,4067},{47,15,4080},{151,8,483},{47,15,496}},
{{159,8,4067},{55,15,4080},{159,8,483},{55,15,496}},
{{168,8,4067},{64,15,4080},{168,8,483},{64,15,496}},
{{160,40,4075},{72,15,4080},{160,40,491},{72,15,496}},
{{168,40,4075},{80,15,4080},{168,40,491},{80,15,496}},
{{144,8,4082},{88,15,4080},{144,8,498},{88,15,496}},
};
static void convert_etc1s_to_etc2_eac_r11(eac_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector)
{
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(base_color, inten_table, low_selector, r);
// Constant alpha block
// Select table 13, use selector 4 (0), set multiplier to 1 and base color r
pDst_block->m_base = r;
pDst_block->m_table = 13;
pDst_block->m_multiplier = 1;
// selectors are all 4's
static const uint8_t s_etc2_eac_r11_sel4[6] = { 0x92, 0x49, 0x24, 0x92, 0x49, 0x24 };
memcpy(pDst_block->m_selectors, s_etc2_eac_r11_sel4, sizeof(s_etc2_eac_r11_sel4));
return;
}
uint32_t selector_range_table = 0;
for (selector_range_table = 0; selector_range_table < NUM_ETC2_EAC_SELECTOR_RANGES; selector_range_table++)
if ((low_selector == s_etc2_eac_selector_ranges[selector_range_table].m_low) && (high_selector == s_etc2_eac_selector_ranges[selector_range_table].m_high))
break;
if (selector_range_table >= NUM_ETC2_EAC_SELECTOR_RANGES)
selector_range_table = 0;
const etc1_g_to_eac_conversion* pTable_entry = &s_etc1_g_to_etc2_r11[base_color.r + inten_table * 32][selector_range_table];
pDst_block->m_base = pTable_entry->m_base;
pDst_block->m_table = pTable_entry->m_table_mul >> 4;
pDst_block->m_multiplier = pTable_entry->m_table_mul & 15;
uint64_t selector_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t ds = (pTable_entry->m_trans >> (s * 3)) & 7;
const uint32_t dst_ofs = 45 - (y + x * 4) * 3;
selector_bits |= (static_cast<uint64_t>(ds) << dst_ofs);
}
}
pDst_block->set_selector_bits(selector_bits);
}
#endif // BASISD_SUPPORT_ETC2_EAC_RG11
// ASTC
struct etc1_to_astc_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
#if BASISD_SUPPORT_ASTC
static dxt_selector_range g_etc1_to_astc_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1_TO_ASTC_SELECTOR_RANGES = sizeof(g_etc1_to_astc_selector_ranges) / sizeof(g_etc1_to_astc_selector_ranges[0]);
static uint32_t g_etc1_to_astc_selector_range_index[4][4];
const uint32_t NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1_to_astc_selector_mappings[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 },
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
static const etc1_to_astc_solution g_etc1_to_astc[32 * 8 * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS * NUM_ETC1_TO_ASTC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_astc.inc ****/
{0,2,18},{0,32,2},{0,16,10},{0,16,10},{0,32,35},{0,16,27},{0,16,11},{0,16,27},{0,16,36},{0,16,28},{0,2,18},{0,32,2},{0,16,10},{0,16,10},{16,0,35},{0,16,27},{0,16,11},{0,16,27},{32,0,35},{0,16,27},{0,16,1},{0,16,1},{0,16,1},{0,16,1},{0,16,2},{0,16,2},{0,16,2},{0,0,4},{0,0,4},{0,0,4},{0,16,1},
{0,16,1},{0,16,1},{0,16,1},{0,16,2},{0,16,2},{0,16,2},{0,0,4},{16,0,2},{0,0,4},{0,2,18},{0,32,2},{0,16,10},{0,16,10},{0,2,18},{2,0,18},{0,16,10},{0,16,18},{2,0,18},{0,16,18},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{16,4,44},{16,18,27},{16,2,30},
{16,2,30},{0,4,52},{0,18,20},{0,2,1},{0,32,27},{0,2,77},{0,32,36},{16,4,19},{16,18,2},{16,2,5},{16,2,5},{32,32,51},{0,18,20},{0,2,1},{0,32,27},{32,32,51},{0,32,27},{16,18,26},{16,18,26},{16,18,26},{16,32,27},{0,34,8},{0,2,1},{0,2,1},{0,32,2},{0,32,19},{0,32,11},{16,18,1},{16,18,1},{16,18,1},{16,32,2},{16,2,8},
{0,2,1},{0,2,1},{0,32,2},{34,0,8},{0,32,2},{16,4,18},{16,18,1},{16,2,4},{0,2,0},{16,4,18},{4,16,18},{0,2,0},{0,32,26},{4,16,18},{0,32,26},{16,0,26},{16,0,26},{16,0,26},{16,0,26},{0,18,0},{0,18,0},{0,18,0},{0,32,1},{0,16,10},{0,16,10},{32,36,36},{32,4,20},{32,34,31},{32,18,28},{16,6,60},{32,34,31},{32,18,19},
{16,18,28},{0,34,52},{0,18,22},{2,4,22},{2,34,6},{2,18,14},{2,18,14},{18,2,51},{32,34,22},{32,18,10},{0,18,18},{38,0,51},{0,18,18},{32,4,19},{32,4,19},{32,4,19},{32,18,19},{32,34,17},{32,18,10},{32,18,10},{32,2,13},{16,18,14},{16,2,8},{2,18,5},{2,18,5},{2,18,5},{2,18,5},{2,2,8},{32,18,1},{32,18,1},{32,2,4},{2,2,8},
{32,2,4},{4,0,18},{32,4,2},{2,18,10},{0,34,9},{4,0,18},{8,0,18},{0,34,9},{0,18,18},{8,0,18},{0,18,18},{32,0,18},{32,0,18},{32,0,18},{32,0,18},{32,18,9},{32,18,9},{32,18,9},{32,2,9},{16,2,4},{16,2,4},{18,6,44},{18,20,26},{18,4,30},{18,4,30},{2,6,52},{2,20,21},{2,4,1},{2,34,27},{16,20,52},{32,34,27},{18,6,19},
{18,20,1},{18,4,5},{18,4,5},{20,16,51},{2,20,21},{2,4,1},{2,34,27},{16,20,51},{2,34,27},{18,20,26},{18,20,26},{18,20,26},{18,34,27},{2,36,8},{2,4,1},{2,4,1},{2,34,2},{32,4,11},{32,34,2},{18,20,1},{18,20,1},{18,20,1},{18,34,2},{18,4,8},{2,4,1},{2,4,1},{2,34,2},{36,2,8},{2,34,2},{36,0,18},{18,20,0},{18,4,4},
{2,4,0},{36,0,18},{6,18,18},{2,4,0},{0,34,26},{6,18,18},{0,34,26},{18,0,26},{18,0,26},{18,0,26},{18,0,26},{2,4,1},{2,4,1},{2,4,1},{2,34,1},{32,34,1},{32,34,1},{34,8,40},{34,6,21},{34,36,33},{34,36,28},{34,22,55},{34,36,25},{34,36,13},{34,20,31},{32,6,55},{18,20,20},{4,6,21},{4,36,5},{4,36,5},{4,20,11},{22,0,51},
{34,36,21},{34,36,9},{2,20,19},{32,6,51},{2,20,19},{34,6,21},{34,6,21},{34,6,21},{34,20,21},{34,6,14},{34,20,6},{34,20,6},{34,4,14},{18,20,11},{18,20,11},{4,36,1},{4,36,1},{4,36,1},{4,20,2},{2,24,8},{34,20,2},{34,20,2},{4,4,10},{28,0,8},{4,4,10},{22,16,18},{34,6,1},{4,36,4},{18,36,4},{22,16,18},{44,16,18},{18,36,4},
{0,20,18},{44,16,18},{0,20,18},{34,0,20},{34,0,20},{34,0,20},{34,0,20},{34,20,5},{34,20,5},{34,20,5},{34,4,5},{18,20,2},{18,20,2},{20,8,46},{20,22,27},{20,6,31},{20,6,28},{4,24,52},{4,22,19},{4,6,7},{4,6,36},{18,22,56},{34,6,31},{20,8,21},{20,22,2},{20,6,6},{20,6,3},{36,6,51},{4,22,18},{4,6,6},{18,6,26},{31,0,51},
{18,6,26},{20,22,26},{20,22,26},{20,22,26},{20,6,27},{4,38,9},{4,6,6},{4,6,6},{4,36,1},{34,6,9},{4,36,4},{20,22,1},{20,22,1},{20,22,1},{20,6,2},{22,2,8},{20,36,4},{20,36,4},{4,36,0},{42,2,8},{4,36,0},{22,4,18},{20,22,1},{36,6,2},{4,6,2},{22,4,18},{15,0,18},{4,6,2},{0,6,26},{15,0,18},{0,6,26},{20,0,26},
{20,0,26},{20,0,26},{20,0,26},{4,22,1},{4,22,1},{4,22,1},{4,36,1},{4,36,4},{4,36,4},{36,40,38},{36,8,22},{36,38,33},{36,38,28},{36,24,55},{36,38,25},{36,38,13},{20,22,28},{34,8,55},{4,22,23},{6,8,21},{6,38,5},{6,38,5},{6,22,11},{24,2,51},{36,38,21},{20,38,9},{4,22,19},{13,0,51},{4,22,19},{36,8,21},{36,8,21},{36,8,21},
{36,22,21},{36,8,14},{36,22,6},{36,22,6},{36,6,14},{4,38,10},{4,22,14},{6,38,1},{6,38,1},{6,38,1},{6,22,2},{8,2,8},{36,22,2},{36,22,2},{6,6,10},{30,2,8},{6,6,10},{10,0,18},{36,8,2},{6,38,4},{4,38,5},{10,0,18},{4,8,18},{4,38,5},{0,22,18},{4,8,18},{0,22,18},{36,0,20},{36,0,20},{36,0,20},{36,0,20},{36,22,5},
{36,22,5},{36,22,5},{36,6,5},{4,22,5},{4,22,5},{22,10,46},{22,24,26},{22,8,30},{22,8,30},{6,26,52},{6,24,21},{6,8,5},{6,38,37},{20,24,53},{6,38,40},{22,10,21},{22,24,1},{22,8,5},{22,8,5},{16,11,51},{6,24,20},{6,8,4},{6,38,36},{25,0,51},{6,38,36},{22,24,26},{22,24,26},{22,24,26},{22,8,30},{6,40,9},{6,8,5},{6,8,5},
{6,38,1},{36,8,11},{6,38,4},{22,24,1},{22,24,1},{22,24,1},{22,8,5},{24,4,8},{6,8,4},{6,8,4},{6,38,0},{11,0,8},{6,38,0},{42,0,18},{22,24,0},{22,8,4},{6,8,0},{42,0,18},{9,0,18},{6,8,0},{0,8,36},{9,0,18},{0,8,36},{22,0,26},{22,0,26},{22,0,26},{22,0,26},{6,24,1},{6,24,1},{6,24,1},{6,38,1},{6,38,4},
{6,38,4},{38,12,44},{38,10,30},{38,40,46},{38,40,34},{38,26,53},{38,40,21},{38,40,9},{38,24,25},{6,10,57},{22,24,22},{8,10,21},{8,40,5},{8,40,5},{8,24,17},{28,0,51},{38,40,20},{38,40,8},{6,24,21},{37,0,51},{6,24,21},{38,26,26},{38,26,26},{38,26,26},{38,24,30},{38,10,9},{38,40,5},{38,40,5},{38,24,9},{22,24,11},{22,24,6},{8,40,1},
{8,40,1},{8,40,1},{8,24,1},{38,10,8},{8,24,4},{8,24,4},{6,24,5},{23,0,8},{6,24,5},{16,7,18},{38,10,4},{8,40,4},{6,40,5},{16,7,18},{21,0,18},{6,40,5},{0,24,20},{21,0,18},{0,24,20},{38,0,26},{38,0,26},{38,0,26},{38,0,26},{38,40,1},{38,40,1},{38,40,1},{38,8,2},{22,24,2},{22,24,2},{24,12,38},{24,26,22},{24,10,30},
{24,10,22},{8,28,52},{8,26,19},{8,10,6},{8,40,37},{38,26,55},{38,10,30},{24,12,22},{24,26,6},{24,10,14},{24,10,6},{42,6,51},{8,26,18},{24,10,3},{22,10,26},{19,0,51},{22,10,26},{24,26,21},{24,26,21},{24,26,21},{24,10,21},{8,42,9},{8,10,5},{8,10,5},{8,40,1},{38,10,8},{8,40,4},{24,26,5},{24,26,5},{24,26,5},{24,10,5},{28,2,8},
{24,10,2},{24,10,2},{8,40,0},{42,8,8},{8,40,0},{26,8,18},{24,26,2},{40,10,2},{8,10,1},{26,8,18},{15,6,18},{8,10,1},{0,10,26},{15,6,18},{0,10,26},{24,0,20},{24,0,20},{24,0,20},{24,0,20},{8,26,1},{8,26,1},{8,26,1},{8,40,1},{38,10,4},{38,10,4},{40,14,40},{40,12,21},{40,42,33},{40,42,33},{40,28,55},{40,42,23},{40,42,18},
{40,26,33},{8,12,57},{24,26,22},{10,12,21},{10,42,5},{10,42,5},{10,26,17},{30,2,51},{40,42,19},{24,42,14},{8,26,21},{35,2,51},{8,26,21},{40,12,21},{40,12,21},{40,12,21},{40,26,21},{40,12,14},{40,26,6},{40,26,6},{40,10,14},{8,42,10},{24,26,6},{10,42,1},{10,42,1},{10,42,1},{10,26,1},{16,3,8},{40,26,2},{40,26,2},{8,26,5},{17,0,8},
{8,26,5},{16,1,18},{40,12,1},{10,42,4},{8,42,5},{16,1,18},{19,2,18},{8,42,5},{0,26,20},{19,2,18},{0,26,20},{40,0,20},{40,0,20},{40,0,20},{40,0,20},{40,26,5},{40,26,5},{40,26,5},{40,10,5},{24,26,2},{24,26,2},{26,14,38},{26,28,22},{26,12,30},{26,12,22},{10,30,52},{10,28,21},{10,12,6},{10,42,37},{24,28,53},{40,12,31},{26,14,22},
{26,28,6},{26,12,14},{26,12,6},{47,2,51},{10,28,20},{26,12,3},{24,12,26},{17,2,51},{24,12,26},{26,28,21},{26,28,21},{26,28,21},{26,12,21},{10,44,9},{10,12,5},{10,12,5},{10,42,1},{40,12,9},{40,42,2},{26,28,5},{26,28,5},{26,28,5},{26,12,5},{30,4,8},{26,12,2},{26,12,2},{10,42,0},{15,8,8},{10,42,0},{15,0,18},{26,28,2},{42,12,5},
{10,12,1},{15,0,18},{5,4,18},{10,12,1},{0,12,26},{5,4,18},{0,12,26},{26,0,20},{26,0,20},{26,0,20},{26,0,20},{10,28,1},{10,28,1},{10,28,1},{10,42,1},{40,42,2},{40,42,2},{42,47,46},{42,14,31},{12,44,37},{42,44,31},{42,46,52},{42,44,21},{42,44,6},{42,28,25},{10,14,51},{26,28,20},{12,30,18},{12,14,2},{12,44,1},{12,44,10},{29,0,51},
{42,44,20},{42,44,5},{26,28,20},{37,6,51},{26,28,20},{42,30,26},{42,30,26},{42,30,26},{42,28,30},{42,14,9},{42,44,5},{42,44,5},{42,28,9},{10,44,9},{26,28,4},{12,44,0},{12,44,0},{12,44,0},{12,28,0},{45,0,8},{12,28,4},{12,28,4},{26,28,4},{27,8,8},{26,28,4},{45,2,18},{12,14,2},{12,44,1},{26,44,1},{45,2,18},{25,8,18},{26,44,1},
{0,28,20},{25,8,18},{0,28,20},{42,0,26},{42,0,26},{42,0,26},{42,0,26},{42,44,1},{42,44,1},{42,44,1},{42,12,5},{26,28,0},{26,28,0},{28,47,38},{28,30,22},{28,14,33},{28,14,25},{12,31,55},{12,30,23},{12,14,18},{12,14,33},{42,30,55},{42,14,21},{28,47,22},{28,30,6},{44,14,14},{28,14,9},{46,10,51},{12,30,19},{28,14,6},{26,14,21},{23,8,51},
{26,14,21},{28,30,21},{28,30,21},{28,30,21},{28,14,21},{12,46,14},{12,14,14},{12,14,14},{12,44,6},{42,14,10},{12,44,6},{28,30,5},{28,30,5},{28,30,5},{28,14,5},{29,2,8},{28,14,2},{28,14,2},{12,44,2},{35,6,8},{12,44,2},{8,7,18},{28,30,2},{44,14,5},{12,14,5},{8,7,18},{33,6,18},{12,14,5},{0,14,20},{33,6,18},{0,14,20},{28,0,20},
{28,0,20},{28,0,20},{28,0,20},{12,30,5},{12,30,5},{12,30,5},{12,44,5},{42,14,1},{42,14,1},{44,15,46},{44,47,27},{14,46,37},{44,46,31},{44,31,53},{44,46,21},{44,46,6},{44,30,25},{42,47,55},{28,30,22},{14,31,20},{14,47,8},{14,46,1},{14,46,10},{38,3,51},{44,46,20},{44,46,5},{12,30,21},{35,8,51},{12,30,21},{44,31,26},{44,31,26},{44,31,26},
{44,30,30},{44,47,11},{44,46,5},{44,46,5},{44,30,9},{12,46,9},{28,30,6},{14,46,0},{14,46,0},{14,46,0},{14,30,0},{43,2,8},{14,30,4},{14,30,4},{12,30,5},{21,8,8},{12,30,5},{41,0,18},{44,47,1},{14,46,1},{28,46,1},{41,0,18},{19,8,18},{28,46,1},{0,30,20},{19,8,18},{0,30,20},{44,0,26},{44,0,26},{44,0,26},{44,0,26},{44,46,1},
{44,46,1},{44,46,1},{44,14,5},{28,30,2},{28,30,2},{30,45,38},{30,31,21},{30,47,24},{30,47,24},{14,29,55},{14,31,22},{14,47,8},{14,46,55},{28,31,53},{44,47,41},{30,45,22},{30,31,5},{30,47,8},{30,47,8},{41,2,51},{14,31,18},{14,47,4},{12,47,37},{17,8,51},{12,47,37},{30,31,20},{30,31,20},{30,31,20},{30,47,24},{14,15,14},{14,47,8},{14,47,8},
{14,46,6},{44,47,9},{14,46,6},{30,31,4},{30,31,4},{30,31,4},{30,47,8},{38,1,8},{14,47,4},{14,47,4},{14,46,2},{43,28,8},{14,46,2},{9,0,18},{30,31,1},{46,47,1},{14,47,0},{9,0,18},{0,9,18},{14,47,0},{0,47,36},{0,9,18},{0,47,36},{30,0,20},{30,0,20},{30,0,20},{30,0,20},{14,31,4},{14,31,4},{14,31,4},{14,46,5},{14,46,5},
{14,46,5},{46,43,54},{46,45,41},{47,15,55},{46,15,44},{46,13,51},{46,15,20},{46,15,8},{46,31,24},{14,45,56},{30,31,21},{47,29,21},{47,15,6},{47,15,6},{47,31,17},{23,0,51},{46,15,20},{46,15,8},{30,31,20},{18,9,51},{30,31,20},{46,13,37},{46,13,37},{46,13,37},{46,15,40},{46,45,8},{46,15,4},{46,15,4},{46,31,8},{14,15,14},{30,31,5},{47,15,2},
{47,15,2},{47,15,2},{47,31,1},{39,0,8},{46,15,4},{46,15,4},{30,31,4},{9,28,8},{30,31,4},{39,2,18},{47,15,5},{47,15,5},{30,15,4},{39,2,18},{34,9,18},{30,15,4},{0,31,20},{34,9,18},{0,31,20},{46,0,36},{46,0,36},{46,0,36},{46,0,36},{46,15,0},{46,15,0},{46,15,0},{46,47,1},{30,31,1},{30,31,1},{31,43,38},{31,29,22},{31,45,25},
{31,45,22},{47,43,53},{47,29,19},{47,45,6},{47,15,37},{46,29,52},{46,45,27},{31,43,22},{31,29,6},{31,45,9},{31,45,6},{9,6,51},{47,29,18},{47,45,5},{30,45,26},{32,7,51},{30,45,26},{31,13,21},{31,13,21},{31,13,21},{31,45,21},{47,13,9},{47,45,5},{47,45,5},{47,15,1},{46,45,10},{46,15,8},{31,13,5},{31,13,5},{31,13,5},{31,45,5},{23,2,8},
{31,15,4},{31,15,4},{47,15,0},{20,9,8},{47,15,0},{47,11,18},{31,29,2},{15,45,5},{47,45,1},{47,11,18},{22,9,18},{47,45,1},{0,45,26},{22,9,18},{0,45,26},{31,0,20},{31,0,20},{31,0,20},{31,0,20},{47,29,1},{47,29,1},{47,29,1},{47,15,1},{46,45,1},{46,45,1},{15,11,38},{15,43,21},{15,13,33},{15,13,33},{15,27,55},{15,13,23},{15,13,18},
{15,29,33},{47,13,59},{31,29,22},{45,27,21},{45,13,6},{45,13,6},{45,29,17},{21,2,51},{15,13,19},{15,13,14},{31,29,21},{24,9,51},{31,29,21},{15,27,21},{15,27,21},{15,27,21},{15,29,21},{15,13,14},{15,29,6},{15,29,6},{15,45,14},{47,13,10},{31,29,6},{45,13,2},{45,13,2},{45,13,2},{45,29,1},{37,2,8},{15,29,2},{15,29,2},{31,29,5},{34,7,8},
{31,29,5},{35,0,18},{15,43,1},{45,13,5},{31,13,5},{35,0,18},{36,7,18},{31,13,5},{0,29,20},{36,7,18},{0,29,20},{15,0,20},{15,0,20},{15,0,20},{15,0,20},{15,13,5},{15,13,5},{15,13,5},{15,45,5},{31,29,2},{31,29,2},{29,41,38},{29,27,20},{29,43,25},{29,43,25},{45,41,53},{45,27,21},{45,43,6},{45,13,37},{31,27,53},{15,43,31},{29,41,22},
{29,27,4},{29,43,9},{29,43,9},{35,2,51},{45,27,20},{45,43,5},{31,43,26},{34,5,51},{31,43,26},{29,27,20},{29,27,20},{29,27,20},{29,13,24},{45,11,9},{45,43,5},{45,43,5},{45,13,1},{15,43,9},{15,13,2},{29,27,4},{29,27,4},{29,27,4},{29,13,8},{44,1,8},{29,13,4},{29,13,4},{45,13,0},{26,9,8},{45,13,0},{3,0,18},{29,27,0},{13,43,5},
{45,43,1},{3,0,18},{0,3,18},{45,43,1},{0,43,26},{0,3,18},{0,43,26},{29,0,20},{29,0,20},{29,0,20},{29,0,20},{45,27,1},{45,27,1},{45,27,1},{45,13,1},{15,13,2},{15,13,2},{13,9,46},{13,41,31},{43,11,37},{13,11,31},{13,25,53},{13,11,21},{13,11,6},{13,27,30},{29,11,56},{29,27,22},{43,25,18},{43,41,2},{43,11,1},{43,27,16},{17,0,51},
{13,11,20},{13,11,5},{29,27,21},{18,3,51},{29,27,21},{13,25,26},{13,25,26},{13,25,26},{13,27,27},{13,41,9},{13,27,3},{13,27,3},{13,27,14},{45,11,9},{29,27,6},{43,11,0},{43,11,0},{43,11,0},{43,27,0},{31,5,8},{13,27,2},{13,27,2},{29,27,5},{14,9,8},{29,27,5},{31,3,18},{43,41,2},{43,11,1},{29,11,1},{31,3,18},{34,3,18},{29,11,1},
{0,27,20},{34,3,18},{0,27,20},{13,0,26},{13,0,26},{13,0,26},{13,0,26},{13,11,1},{13,11,1},{13,11,1},{13,43,5},{29,27,2},{29,27,2},{27,39,38},{27,25,22},{27,41,33},{27,41,25},{43,23,55},{43,25,23},{43,41,18},{43,41,33},{13,25,55},{13,41,21},{27,39,22},{27,25,6},{11,41,14},{27,41,9},{27,9,51},{43,25,19},{27,41,6},{13,41,21},{14,7,51},
{13,41,21},{27,9,21},{27,9,21},{27,9,21},{27,41,21},{43,9,14},{43,25,14},{43,25,14},{43,11,5},{13,41,10},{43,11,5},{27,9,5},{27,9,5},{27,9,5},{27,41,5},{17,2,8},{27,41,2},{27,41,2},{43,11,1},{16,1,8},{43,11,1},{43,7,18},{27,25,2},{11,41,5},{27,41,5},{43,7,18},{18,1,18},{27,41,5},{0,41,20},{18,1,18},{0,41,20},{27,0,20},
{27,0,20},{27,0,20},{27,0,20},{43,9,5},{43,9,5},{43,9,5},{43,11,4},{13,41,1},{13,41,1},{11,7,46},{11,39,30},{41,9,37},{11,9,31},{11,23,53},{11,9,21},{11,9,6},{11,25,30},{13,39,55},{27,25,22},{41,23,18},{41,9,4},{41,9,1},{41,25,16},{17,6,51},{11,9,20},{11,9,5},{27,25,21},{20,1,51},{27,25,21},{11,23,26},{11,23,26},{11,23,26},
{11,25,27},{11,39,9},{11,25,3},{11,25,3},{11,25,14},{43,9,9},{27,25,6},{41,9,0},{41,9,0},{41,9,0},{41,25,0},{29,3,8},{11,25,2},{11,25,2},{27,25,5},{43,9,8},{27,25,5},{29,1,18},{41,9,4},{41,9,1},{27,9,1},{29,1,18},{36,1,18},{27,9,1},{0,25,20},{36,1,18},{0,25,20},{11,0,26},{11,0,26},{11,0,26},{11,0,26},{11,9,1},
{11,9,1},{11,9,1},{11,41,2},{27,25,2},{27,25,2},{25,37,38},{25,23,22},{25,39,25},{25,39,25},{41,21,55},{41,23,23},{41,39,9},{41,39,46},{27,23,53},{11,39,30},{25,37,22},{25,23,6},{25,39,9},{25,39,9},{27,3,51},{41,23,19},{41,39,5},{27,39,26},{39,9,51},{27,39,26},{25,7,21},{25,7,21},{25,7,21},{25,9,24},{41,7,14},{41,39,8},{41,39,8},
{41,9,5},{11,39,8},{41,9,5},{25,7,5},{25,7,5},{25,7,5},{25,9,8},{39,11,8},{25,9,4},{25,9,4},{41,9,1},{22,1,8},{41,9,1},{41,5,18},{25,23,2},{9,39,2},{41,39,1},{41,5,18},{23,9,18},{41,39,1},{0,39,26},{23,9,18},{0,39,26},{25,0,20},{25,0,20},{25,0,20},{25,0,20},{41,7,5},{41,7,5},{41,7,5},{41,9,4},{41,9,4},
{41,9,4},{39,21,54},{39,7,40},{39,7,37},{9,7,41},{9,5,51},{9,7,20},{9,7,5},{9,23,30},{41,37,51},{25,23,26},{39,21,18},{39,7,4},{39,7,1},{39,7,17},{11,1,51},{9,7,20},{9,7,5},{25,23,26},{5,9,51},{25,23,26},{39,7,36},{39,7,36},{39,7,36},{39,23,36},{9,21,10},{9,7,4},{9,7,4},{9,23,5},{41,7,12},{25,23,1},{39,7,0},
{39,7,0},{39,7,0},{39,23,0},{25,5,8},{9,7,4},{9,7,4},{25,23,1},{10,1,8},{25,23,1},{25,3,18},{39,7,4},{39,7,1},{25,7,1},{25,3,18},{12,1,18},{25,7,1},{0,23,26},{12,1,18},{0,23,26},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,7,0},{9,7,0},{9,7,0},{9,23,4},{25,23,0},{25,23,0},{23,19,38},{23,5,23},{23,21,28},
{23,37,23},{39,19,55},{39,21,25},{39,37,13},{39,37,33},{9,21,53},{9,37,22},{7,21,27},{23,5,14},{7,37,14},{23,37,14},{23,5,51},{39,21,21},{23,37,6},{9,37,21},{14,1,51},{9,37,21},{23,5,19},{23,5,19},{23,5,19},{23,37,19},{39,5,14},{39,21,9},{39,21,9},{39,7,5},{9,37,11},{39,7,5},{23,5,10},{23,5,10},{23,5,10},{7,7,10},{9,3,8},
{23,37,2},{23,37,2},{39,7,1},{31,3,8},{39,7,1},{37,7,18},{23,5,5},{7,37,5},{23,37,5},{37,7,18},{30,1,18},{23,37,5},{0,37,20},{30,1,18},{0,37,20},{23,0,18},{23,0,18},{23,0,18},{23,0,18},{39,5,5},{39,5,5},{39,5,5},{39,7,4},{9,37,2},{9,37,2},{7,33,44},{7,35,31},{7,5,36},{7,5,31},{7,19,53},{7,5,22},{7,5,7},
{7,21,31},{39,35,57},{23,21,27},{37,19,20},{37,5,4},{37,5,1},{37,5,17},{23,17,51},{7,5,21},{7,5,6},{23,21,26},{45,17,51},{23,21,26},{7,19,26},{7,19,26},{7,19,26},{7,5,30},{7,35,9},{7,5,6},{7,5,6},{7,21,6},{39,5,9},{23,21,2},{37,5,0},{37,5,0},{37,5,0},{37,21,0},{23,3,8},{37,21,4},{37,21,4},{23,21,1},{43,3,8},
{23,21,1},{23,1,18},{37,5,4},{37,5,1},{23,5,1},{23,1,18},{33,7,18},{23,5,1},{0,21,26},{33,7,18},{0,21,26},{7,0,26},{7,0,26},{7,0,26},{7,0,26},{7,5,2},{7,5,2},{7,5,2},{7,37,2},{23,21,1},{23,21,1},{21,17,38},{21,19,20},{21,35,31},{21,35,23},{37,17,55},{37,19,22},{37,35,13},{37,35,33},{23,19,56},{7,35,21},{5,19,27},
{21,19,11},{5,35,14},{21,35,14},{21,3,51},{37,19,18},{21,35,6},{7,35,21},{43,1,51},{7,35,21},{21,3,19},{21,3,19},{21,3,19},{21,35,19},{37,3,14},{37,35,9},{37,35,9},{37,5,5},{7,35,10},{37,5,5},{21,3,10},{21,3,10},{21,3,10},{5,5,10},{3,25,8},{21,35,2},{21,35,2},{37,5,1},{29,1,8},{37,5,1},{35,5,18},{21,19,2},{5,35,5},
{21,35,5},{35,5,18},{27,1,18},{21,35,5},{0,35,20},{27,1,18},{0,35,20},{21,0,18},{21,0,18},{21,0,18},{21,0,18},{37,19,4},{37,19,4},{37,19,4},{37,5,4},{7,35,1},{7,35,1},{35,17,44},{35,33,27},{35,3,27},{35,3,35},{5,1,51},{5,3,26},{5,3,1},{5,19,30},{37,33,51},{21,19,26},{35,17,19},{35,33,2},{35,3,2},{35,3,10},{5,1,51},
{5,3,26},{5,3,1},{21,19,26},{9,1,51},{21,19,26},{35,3,27},{35,3,27},{35,3,27},{35,19,27},{5,17,10},{5,3,1},{5,3,1},{5,19,5},{37,3,12},{21,19,1},{35,3,2},{35,3,2},{35,3,2},{35,19,2},{19,5,8},{5,3,1},{5,3,1},{21,19,1},{37,3,8},{21,19,1},{19,3,18},{35,33,1},{35,3,1},{5,3,1},{19,3,18},{39,1,18},{5,3,1},
{0,19,26},{39,1,18},{0,19,26},{35,0,26},{35,0,26},{35,0,26},{35,0,26},{5,3,0},{5,3,0},{5,3,0},{5,19,4},{21,19,0},{21,19,0},{19,1,54},{19,1,22},{19,17,28},{19,33,27},{19,1,61},{35,17,30},{19,33,19},{35,33,31},{5,17,52},{5,33,20},{3,1,24},{3,17,8},{3,33,13},{3,33,17},{17,5,51},{35,17,21},{19,33,10},{5,33,19},{5,17,51},
{5,33,19},{19,1,18},{19,1,18},{19,1,18},{19,33,18},{19,17,19},{19,33,10},{19,33,10},{19,3,14},{5,33,11},{35,3,6},{3,33,4},{3,33,4},{3,33,4},{3,3,8},{3,3,8},{19,33,1},{19,33,1},{19,3,5},{3,3,8},{19,3,5},{33,33,18},{19,1,4},{3,33,9},{19,33,9},{33,33,18},{33,33,18},{19,33,9},{0,33,18},{33,33,18},{0,33,18},{19,0,18},
{19,0,18},{19,0,18},{19,0,18},{35,1,9},{35,1,9},{35,1,9},{19,3,10},{35,3,2},{35,3,2},{33,1,76},{33,1,36},{33,1,27},{33,1,35},{33,1,84},{3,1,26},{3,1,1},{3,17,30},{19,1,56},{19,17,27},{17,1,43},{33,1,11},{33,1,2},{33,1,10},{1,3,51},{3,1,26},{3,1,1},{19,17,26},{3,1,51},{19,17,26},{33,1,27},{33,1,27},{33,1,27},
{33,17,26},{3,1,16},{3,1,1},{3,1,1},{3,17,5},{35,1,12},{19,17,2},{33,1,2},{33,1,2},{33,1,2},{33,17,1},{17,3,8},{3,1,1},{3,1,1},{19,17,1},{35,1,8},{19,17,1},{17,1,18},{17,1,10},{33,1,1},{19,1,0},{17,1,18},{33,1,18},{19,1,0},{0,17,26},{33,1,18},{0,17,26},{33,0,26},{33,0,26},{33,0,26},{33,0,26},{3,1,0},
{3,1,0},{3,1,0},{3,17,4},{19,17,1},{19,17,1},{17,1,36},{17,1,28},{17,1,27},{17,1,19},{17,1,28},{17,1,12},{17,1,11},{17,1,10},{33,1,20},{33,1,2},{1,1,4},{1,1,4},{1,1,4},{1,1,4},{1,17,3},{17,1,3},{17,1,2},{17,1,1},{17,1,3},{17,1,1},{17,1,27},{17,1,27},{17,1,27},{17,1,19},{17,1,19},{17,1,11},{17,1,11},
{17,1,10},{33,1,11},{33,1,2},{1,1,4},{1,1,4},{1,1,4},{1,1,4},{1,17,2},{17,1,2},{17,1,2},{17,1,1},{17,1,2},{17,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{17,0,18},{17,0,18},{17,0,18},{17,0,18},{17,1,10},{17,1,10},{17,1,10},{17,1,10},{33,1,2},
{33,1,2},{0,4,74},{0,18,10},{0,2,1},{0,2,26},{0,34,154},{0,2,99},{0,32,49},{0,32,121},{0,32,162},{0,32,130},{0,4,74},{0,18,10},{0,2,1},{0,2,26},{32,0,153},{0,2,99},{0,32,49},{0,32,121},{0,32,153},{0,32,121},{0,2,0},{0,2,0},{0,2,0},{0,16,4},{0,32,13},{0,16,5},{0,16,5},{0,16,9},{0,16,14},{0,16,10},{0,2,0},
{0,2,0},{0,2,0},{0,16,4},{16,0,13},{0,16,5},{0,16,5},{0,16,9},{32,0,13},{0,16,9},{32,32,72},{0,18,10},{0,2,1},{0,2,26},{32,32,72},{32,32,72},{0,2,26},{0,32,72},{32,32,72},{0,32,72},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,38,81},{0,20,10},{16,34,34},
{0,18,26},{0,36,243},{0,34,99},{0,18,26},{0,2,139},{0,18,279},{0,2,164},{16,6,76},{16,4,8},{16,34,9},{16,18,24},{18,0,243},{0,34,99},{0,18,26},{0,2,139},{36,0,243},{0,2,139},{0,20,10},{0,20,10},{0,20,10},{0,18,10},{0,34,50},{0,18,10},{0,18,10},{0,32,20},{0,32,61},{0,32,29},{16,4,4},{16,4,4},{16,4,4},{16,2,5},{16,2,50},
{0,18,10},{0,18,10},{0,32,20},{34,0,50},{0,32,20},{18,2,72},{0,20,1},{16,34,5},{0,18,17},{18,2,72},{38,0,72},{0,18,17},{0,18,80},{38,0,72},{0,18,80},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,32,0},{0,32,0},{0,32,0},{0,16,0},{0,16,1},{0,16,1},{16,24,135},{16,6,66},{16,20,122},{16,4,66},{0,8,244},{0,20,81},{0,4,2},
{0,34,121},{0,4,344},{0,34,185},{32,8,74},{32,36,1},{32,4,17},{32,4,17},{16,38,243},{0,20,81},{0,4,2},{0,34,121},{38,16,243},{0,34,121},{16,22,61},{16,22,61},{16,22,61},{16,4,65},{0,6,52},{0,4,1},{0,4,1},{0,18,9},{0,18,94},{0,18,45},{32,36,0},{32,36,0},{32,36,0},{32,34,0},{2,2,50},{0,4,1},{0,4,1},{0,18,9},{2,2,50},
{0,18,9},{20,16,72},{32,36,1},{2,4,1},{0,4,1},{20,16,72},{16,20,72},{0,4,1},{0,34,72},{16,20,72},{0,34,72},{16,0,61},{16,0,61},{16,0,61},{16,0,61},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,32,25},{0,32,25},{32,26,152},{2,22,91},{2,36,119},{32,20,89},{16,10,247},{16,6,78},{16,36,13},{16,4,110},{0,36,293},{0,4,103},{18,8,76},
{18,6,8},{18,36,9},{2,20,19},{20,2,243},{16,6,74},{32,20,9},{0,4,94},{42,0,243},{0,4,94},{32,8,81},{32,8,81},{32,8,81},{32,20,80},{16,8,54},{16,36,9},{16,36,9},{16,34,8},{0,4,77},{0,34,6},{18,6,4},{18,6,4},{18,6,4},{18,4,5},{18,4,50},{32,20,0},{32,20,0},{16,34,4},{36,2,50},{16,34,4},{18,8,72},{2,22,1},{18,36,5},
{0,36,4},{18,8,72},{44,0,72},{0,36,4},{0,4,90},{44,0,72},{0,4,90},{32,0,80},{32,0,80},{32,0,80},{32,0,80},{16,6,4},{16,6,4},{16,6,4},{16,34,4},{0,34,2},{0,34,2},{18,42,146},{18,8,83},{18,22,139},{18,6,79},{2,26,243},{2,38,78},{2,6,9},{2,36,110},{0,38,252},{0,36,79},{34,10,73},{34,8,6},{4,6,21},{34,6,14},{38,0,243},
{2,38,78},{18,6,6},{0,36,75},{30,0,243},{0,36,75},{18,24,75},{18,24,75},{18,24,75},{18,6,75},{2,24,50},{2,6,5},{2,6,5},{2,20,4},{0,6,53},{16,20,2},{34,8,2},{34,8,2},{34,8,2},{34,36,2},{2,24,50},{18,6,2},{18,6,2},{16,20,1},{28,0,50},{16,20,1},{36,6,72},{34,8,5},{4,6,5},{2,6,5},{36,6,72},{31,0,72},{2,6,5},
{0,36,74},{31,0,72},{0,36,74},{18,0,74},{18,0,74},{18,0,74},{18,0,74},{2,22,0},{2,22,0},{2,22,0},{2,4,4},{16,20,2},{16,20,2},{4,12,154},{4,24,85},{4,38,106},{34,38,95},{18,12,253},{18,8,90},{34,38,15},{18,6,122},{0,24,244},{16,22,93},{20,10,76},{20,8,9},{20,38,6},{20,22,24},{24,0,243},{18,8,81},{34,38,6},{0,22,80},{32,8,243},
{0,22,80},{4,40,80},{4,40,80},{4,40,80},{4,22,80},{34,24,59},{34,22,10},{34,22,10},{18,36,19},{32,22,53},{32,6,5},{20,8,5},{20,8,5},{20,8,5},{20,6,8},{22,2,50},{34,22,1},{34,22,1},{32,6,4},{42,2,50},{32,6,4},{24,2,72},{20,8,5},{20,38,2},{18,38,1},{24,2,72},{13,0,72},{18,38,1},{0,22,80},{13,0,72},{0,22,80},{4,0,80},
{4,0,80},{4,0,80},{4,0,80},{34,22,9},{34,22,9},{34,22,9},{18,36,10},{32,6,1},{32,6,1},{20,28,146},{20,10,77},{20,8,122},{20,8,77},{4,28,243},{4,40,78},{4,8,5},{4,38,110},{32,40,244},{2,38,79},{36,12,73},{36,40,2},{6,8,18},{36,8,18},{38,6,243},{34,40,73},{4,8,5},{2,38,75},{27,0,243},{2,38,75},{20,26,73},{20,26,73},{20,26,73},
{20,8,76},{4,26,50},{4,8,4},{4,8,4},{4,22,4},{2,8,50},{18,22,2},{36,40,1},{36,40,1},{36,40,1},{36,38,2},{8,2,50},{4,8,4},{4,8,4},{18,22,1},{30,2,50},{18,22,1},{16,11,72},{36,40,1},{6,8,2},{4,8,1},{16,11,72},{25,0,72},{4,8,1},{0,38,74},{25,0,72},{0,38,74},{20,0,72},{20,0,72},{20,0,72},{20,0,72},{4,24,0},
{4,24,0},{4,24,0},{4,6,4},{18,22,2},{18,22,2},{6,14,154},{6,26,85},{6,40,109},{6,24,97},{20,14,248},{20,10,78},{20,40,13},{20,8,110},{2,26,244},{34,8,91},{22,12,76},{22,10,9},{22,40,9},{22,24,29},{26,2,243},{20,10,74},{20,40,9},{2,24,80},{38,8,243},{2,24,80},{6,42,80},{6,42,80},{6,42,80},{6,24,81},{20,12,54},{20,40,9},{20,40,9},
{20,38,13},{34,24,53},{34,8,10},{22,10,5},{22,10,5},{22,10,5},{22,8,5},{24,4,50},{36,24,1},{36,24,1},{34,8,9},{11,0,50},{34,8,9},{26,4,72},{22,10,5},{22,40,5},{4,40,5},{26,4,72},{7,0,72},{4,40,5},{0,24,80},{7,0,72},{0,24,80},{6,0,80},{6,0,80},{6,0,80},{6,0,80},{20,10,4},{20,10,4},{20,10,4},{20,38,4},{34,8,1},
{34,8,1},{22,46,146},{22,12,83},{38,26,122},{22,10,79},{6,30,245},{6,42,74},{6,10,10},{6,40,111},{4,42,247},{20,40,79},{38,14,76},{38,12,5},{8,10,21},{38,10,17},{44,0,243},{6,42,73},{6,10,9},{4,40,74},{26,8,243},{4,40,74},{22,28,75},{22,28,75},{22,28,75},{22,10,75},{6,28,51},{6,10,6},{6,10,6},{6,24,6},{4,10,53},{20,24,6},{38,12,4},
{38,12,4},{38,12,4},{38,40,5},{38,10,50},{22,40,4},{22,40,4},{36,24,1},{23,0,50},{36,24,1},{42,6,72},{38,12,1},{8,10,5},{6,10,5},{42,6,72},{19,0,72},{6,10,5},{0,40,74},{19,0,72},{0,40,74},{22,0,74},{22,0,74},{22,0,74},{22,0,74},{6,26,2},{6,26,2},{6,26,2},{6,8,5},{20,24,5},{20,24,5},{8,46,154},{8,28,85},{8,42,106},
{8,42,97},{38,46,247},{38,12,82},{38,42,10},{22,26,119},{4,28,247},{36,26,83},{24,14,75},{24,28,6},{24,42,6},{24,26,30},{30,0,243},{38,12,78},{38,42,6},{4,26,75},{33,0,243},{4,26,75},{8,44,80},{8,44,80},{8,44,80},{8,26,80},{38,28,56},{38,26,9},{38,26,9},{38,40,14},{20,42,54},{6,10,9},{24,12,1},{24,12,1},{24,12,1},{24,10,5},{28,2,50},
{38,26,5},{38,26,5},{6,10,5},{42,8,50},{6,10,5},{30,2,72},{8,28,5},{24,42,5},{22,42,1},{30,2,72},{35,2,72},{22,42,1},{0,26,74},{35,2,72},{0,26,74},{8,0,80},{8,0,80},{8,0,80},{8,0,80},{38,26,5},{38,26,5},{38,26,5},{38,40,5},{6,40,4},{6,40,4},{24,15,146},{24,14,83},{24,28,126},{24,12,79},{8,31,243},{8,44,78},{8,12,9},
{8,42,110},{36,44,245},{22,42,79},{40,46,75},{40,14,6},{10,12,21},{40,12,14},{47,0,243},{8,44,78},{8,12,9},{6,42,74},{27,6,243},{6,42,74},{24,30,75},{24,30,75},{24,30,75},{24,12,75},{8,14,52},{8,12,5},{8,12,5},{8,26,5},{6,12,53},{22,26,6},{40,14,2},{40,14,2},{40,14,2},{40,42,1},{16,3,50},{24,42,4},{24,42,4},{38,26,1},{17,0,50},
{38,26,1},{47,2,72},{40,14,5},{10,12,5},{8,12,5},{47,2,72},{17,2,72},{8,12,5},{0,42,74},{17,2,72},{0,42,74},{24,0,74},{24,0,74},{24,0,74},{24,0,74},{8,28,0},{8,28,0},{8,28,0},{8,10,1},{22,26,5},{22,26,5},{10,15,152},{10,30,85},{10,44,106},{40,44,95},{40,31,252},{24,14,90},{40,44,15},{24,12,122},{6,30,247},{38,28,89},{26,47,73},
{26,30,6},{26,44,6},{26,28,21},{34,3,243},{8,30,76},{40,44,6},{6,28,80},{35,4,243},{6,28,80},{10,46,80},{10,46,80},{10,46,80},{10,28,81},{40,30,59},{40,28,10},{40,28,10},{24,42,18},{22,44,51},{8,12,9},{26,14,1},{26,14,1},{26,14,1},{26,12,5},{30,4,50},{40,28,1},{40,28,1},{8,12,5},{15,8,50},{8,12,5},{15,2,72},{10,30,5},{26,44,5},
{24,44,1},{15,2,72},{33,4,72},{24,44,1},{0,28,80},{33,4,72},{0,28,80},{10,0,80},{10,0,80},{10,0,80},{10,0,80},{40,28,9},{40,28,9},{40,28,9},{24,42,9},{8,12,5},{8,12,5},{26,13,152},{26,47,89},{42,30,122},{26,14,89},{10,29,245},{10,46,74},{10,30,15},{10,44,106},{8,46,247},{24,44,81},{42,45,76},{42,47,9},{12,30,18},{42,14,17},{4,1,243},
{10,46,73},{26,14,10},{8,44,80},{1,4,243},{8,44,80},{26,15,80},{26,15,80},{26,15,80},{26,14,80},{10,31,51},{10,30,6},{10,30,6},{10,28,6},{24,14,54},{24,28,6},{42,47,5},{42,47,5},{42,47,5},{42,44,5},{45,0,50},{26,14,1},{26,14,1},{40,28,1},{27,8,50},{40,28,1},{46,10,72},{12,46,5},{12,30,9},{26,14,9},{46,10,72},{23,8,72},{26,14,9},
{0,44,80},{23,8,72},{0,44,80},{26,0,80},{26,0,80},{26,0,80},{26,0,80},{10,30,2},{10,30,2},{10,30,2},{10,12,5},{24,44,1},{24,44,1},{12,13,148},{12,31,79},{12,46,110},{12,46,83},{42,29,248},{42,47,85},{42,46,5},{26,30,126},{8,31,247},{40,30,83},{28,29,75},{28,47,5},{28,46,5},{28,46,26},{27,0,243},{26,31,80},{42,46,1},{8,30,75},{37,8,243},
{8,30,75},{12,15,74},{12,15,74},{12,15,74},{12,30,74},{42,15,56},{42,46,5},{42,46,5},{26,14,21},{24,46,56},{10,14,2},{28,47,1},{28,47,1},{28,47,1},{28,14,5},{29,2,50},{42,46,1},{42,46,1},{10,14,1},{35,6,50},{10,14,1},{38,3,72},{28,47,4},{44,46,1},{26,46,1},{38,3,72},{35,8,72},{26,46,1},{0,30,74},{35,8,72},{0,30,74},{12,0,74},
{12,0,74},{12,0,74},{12,0,74},{42,46,4},{42,46,4},{42,46,4},{42,44,5},{10,14,1},{10,14,1},{28,11,146},{28,45,84},{44,47,121},{28,47,79},{12,27,244},{12,15,79},{12,47,6},{12,46,106},{40,15,244},{26,46,81},{44,43,76},{44,15,6},{14,47,11},{44,47,14},{28,13,243},{42,15,76},{12,47,5},{10,46,80},{27,12,243},{10,46,80},{28,13,75},{28,13,75},{28,13,75},
{28,47,78},{12,29,51},{12,47,5},{12,47,5},{12,30,6},{10,47,51},{26,30,6},{44,15,5},{44,15,5},{44,15,5},{44,46,5},{43,2,50},{12,47,4},{12,47,4},{42,30,1},{21,8,50},{42,30,1},{41,2,72},{44,15,2},{14,47,2},{12,47,1},{41,2,72},{17,8,72},{12,47,1},{0,46,80},{17,8,72},{0,46,80},{28,0,74},{28,0,74},{28,0,74},{28,0,74},{12,31,1},
{12,31,1},{12,31,1},{12,14,5},{26,46,1},{26,46,1},{14,11,148},{14,29,79},{14,15,114},{14,31,90},{44,27,248},{28,45,84},{28,15,18},{28,47,115},{10,29,247},{42,47,91},{30,27,75},{30,45,5},{30,15,6},{30,31,21},{40,3,243},{28,45,75},{28,15,9},{10,31,80},{16,9,243},{10,31,80},{14,13,74},{14,13,74},{14,13,74},{14,31,74},{44,13,56},{44,31,6},{44,31,6},
{44,46,21},{42,31,52},{42,47,10},{30,45,1},{30,45,1},{30,45,1},{30,47,2},{38,1,50},{44,31,2},{44,31,2},{42,47,9},{43,28,50},{42,47,9},{29,12,72},{30,45,4},{30,15,5},{12,15,5},{29,12,72},{26,13,72},{12,15,5},{0,31,80},{26,13,72},{0,31,80},{14,0,74},{14,0,74},{14,0,74},{14,0,74},{44,15,5},{44,15,5},{44,15,5},{44,46,5},{42,47,1},
{42,47,1},{30,9,154},{46,43,91},{46,29,115},{30,45,85},{14,9,247},{14,13,77},{14,29,18},{14,15,114},{12,13,247},{28,15,79},{46,25,83},{46,43,10},{47,45,21},{46,45,17},{10,1,243},{14,13,73},{30,45,6},{12,15,74},{4,9,243},{12,15,74},{30,11,80},{30,11,80},{30,11,80},{30,45,81},{14,11,56},{14,29,9},{14,29,9},{14,31,6},{12,45,56},{44,31,5},{46,43,9},
{46,43,9},{46,43,9},{46,15,10},{39,0,50},{30,45,2},{30,45,2},{44,31,1},{9,28,50},{44,31,1},{9,6,72},{46,43,1},{47,45,5},{14,45,5},{9,6,72},{32,7,72},{14,45,5},{0,15,74},{32,7,72},{0,15,74},{30,0,80},{30,0,80},{30,0,80},{30,0,80},{14,13,5},{14,13,5},{14,13,5},{14,31,5},{44,31,4},{44,31,4},{47,9,154},{47,27,81},{47,13,106},
{47,13,97},{46,9,244},{46,43,79},{46,13,6},{46,45,121},{12,27,248},{44,29,84},{31,25,75},{31,27,6},{31,13,6},{31,29,30},{21,0,243},{46,43,78},{46,13,5},{12,29,75},{18,7,243},{12,29,75},{47,11,80},{47,11,80},{47,11,80},{47,29,80},{46,11,51},{46,13,5},{46,13,5},{46,15,11},{28,13,54},{14,45,6},{31,43,1},{31,43,1},{31,43,1},{31,29,5},{23,2,50},
{46,13,4},{46,13,4},{14,45,5},{20,9,50},{14,45,5},{21,2,72},{47,27,1},{15,13,5},{30,13,1},{21,2,72},{24,9,72},{30,13,1},{0,29,74},{24,9,72},{0,29,74},{47,0,80},{47,0,80},{47,0,80},{47,0,80},{46,13,1},{46,13,1},{46,13,1},{46,15,2},{14,45,2},{14,45,2},{31,7,146},{31,41,83},{31,27,126},{31,43,79},{47,23,243},{47,11,78},{47,43,5},
{47,13,110},{14,11,247},{30,13,79},{15,9,75},{15,11,2},{15,27,21},{15,43,14},{14,3,243},{47,11,78},{47,43,5},{14,13,74},{32,5,243},{14,13,74},{31,9,75},{31,9,75},{31,9,75},{31,43,75},{47,25,52},{47,43,1},{47,43,1},{47,29,5},{14,43,56},{46,29,5},{15,11,1},{15,11,1},{15,11,1},{15,13,1},{37,2,50},{47,43,1},{47,43,1},{46,29,1},{34,7,50},
{46,29,1},{35,2,72},{15,11,1},{45,43,5},{47,43,4},{35,2,72},{34,5,72},{47,43,4},{0,13,74},{34,5,72},{0,13,74},{31,0,74},{31,0,74},{31,0,74},{31,0,74},{47,27,1},{47,27,1},{47,27,1},{47,45,1},{46,29,4},{46,29,4},{45,7,152},{45,25,81},{45,11,106},{45,11,97},{15,23,253},{31,25,90},{31,11,15},{31,43,122},{14,25,247},{46,27,89},{29,39,73},
{29,25,6},{29,11,6},{29,27,26},{46,3,243},{47,25,76},{31,11,6},{14,27,80},{16,3,243},{14,27,80},{45,9,80},{45,9,80},{45,9,80},{45,27,81},{15,25,59},{15,27,10},{15,27,10},{31,13,18},{30,11,54},{46,43,9},{29,41,1},{29,41,1},{29,41,1},{29,43,2},{44,1,50},{15,27,1},{15,27,1},{46,43,5},{26,9,50},{46,43,5},{46,1,72},{45,25,1},{13,11,5},
{31,11,2},{46,1,72},{26,7,72},{31,11,2},{0,27,80},{26,7,72},{0,27,80},{45,0,80},{45,0,80},{45,0,80},{45,0,80},{15,27,9},{15,27,9},{15,27,9},{31,13,9},{47,13,5},{47,13,5},{29,5,154},{29,39,89},{13,25,122},{29,41,89},{45,21,245},{45,9,74},{45,41,15},{45,11,106},{47,9,247},{31,11,85},{13,37,76},{13,9,9},{43,25,18},{13,41,17},{1,0,243},
{45,9,73},{29,41,10},{47,11,80},{0,1,243},{47,11,80},{29,7,80},{29,7,80},{29,7,80},{29,41,80},{45,23,51},{45,41,6},{45,41,6},{45,27,6},{31,41,54},{31,27,6},{13,9,5},{13,9,5},{13,9,5},{13,11,5},{31,5,50},{29,41,1},{29,41,1},{15,27,1},{14,9,50},{15,27,1},{27,9,72},{13,9,5},{43,25,9},{29,41,9},{27,9,72},{14,7,72},{29,41,9},
{0,11,80},{14,7,72},{0,11,80},{29,0,80},{29,0,80},{29,0,80},{29,0,80},{45,25,1},{45,25,1},{45,25,1},{45,27,5},{31,11,5},{31,11,5},{43,5,148},{43,23,79},{43,9,110},{43,9,83},{13,21,248},{13,39,85},{13,9,9},{29,25,126},{47,23,248},{15,25,83},{27,21,75},{27,23,6},{27,9,5},{27,9,26},{15,1,243},{29,23,74},{13,9,5},{31,25,75},{9,11,243},
{31,25,75},{43,7,74},{43,7,74},{43,7,74},{43,25,74},{13,7,56},{13,9,9},{13,9,9},{13,11,21},{15,9,56},{15,41,6},{27,39,1},{27,39,1},{27,39,1},{27,25,5},{17,2,50},{43,25,4},{43,25,4},{15,41,2},{16,1,50},{15,41,2},{17,6,72},{27,23,5},{11,9,1},{29,9,0},{17,6,72},{20,1,72},{29,9,0},{0,25,74},{20,1,72},{0,25,74},{43,0,74},
{43,0,74},{43,0,74},{43,0,74},{13,9,5},{13,9,5},{13,9,5},{13,11,5},{15,41,5},{15,41,5},{27,3,146},{27,37,83},{27,23,119},{27,39,79},{43,19,244},{43,7,79},{43,39,10},{43,9,106},{15,7,245},{29,9,85},{11,35,76},{11,7,9},{41,39,14},{11,39,17},{27,5,243},{13,7,78},{27,39,9},{45,9,80},{6,1,243},{45,9,80},{27,5,75},{27,5,75},{27,5,75},
{27,39,75},{43,21,51},{43,39,6},{43,39,6},{43,25,6},{45,39,53},{29,25,6},{11,7,5},{11,7,5},{11,7,5},{11,9,5},{29,3,50},{27,39,5},{27,39,5},{13,25,1},{43,9,50},{13,25,1},{27,3,72},{41,7,4},{41,39,5},{27,39,5},{27,3,72},{39,9,72},{27,39,5},{0,9,80},{39,9,72},{0,9,80},{27,0,74},{27,0,74},{27,0,74},{27,0,74},{43,23,1},
{43,23,1},{43,23,1},{43,25,5},{29,9,5},{29,9,5},{41,3,148},{41,21,79},{41,7,111},{41,7,91},{11,19,248},{11,37,85},{11,7,10},{27,39,122},{45,21,248},{13,23,83},{25,19,75},{25,21,6},{25,7,6},{25,23,30},{17,10,243},{27,21,81},{11,7,6},{29,23,75},{24,1,243},{29,23,75},{41,5,74},{41,5,74},{41,5,74},{41,23,74},{11,5,56},{11,7,9},{11,7,9},
{11,9,21},{29,7,54},{13,39,5},{25,37,1},{25,37,1},{25,37,1},{25,39,2},{39,11,50},{41,23,4},{41,23,4},{13,39,4},{22,1,50},{13,39,4},{39,7,72},{25,21,5},{9,7,5},{27,7,2},{39,7,72},{26,1,72},{27,7,2},{0,23,74},{26,1,72},{0,23,74},{41,0,74},{41,0,74},{41,0,74},{41,0,74},{11,7,5},{11,7,5},{11,7,5},{11,9,5},{13,39,1},
{13,39,1},{25,1,154},{9,35,91},{9,21,110},{25,37,89},{41,1,247},{41,5,77},{41,21,13},{41,7,109},{43,5,247},{27,7,85},{39,19,81},{9,35,10},{39,21,13},{9,37,22},{41,1,243},{41,5,73},{41,21,9},{43,7,80},{47,3,243},{43,7,80},{25,3,80},{25,3,80},{25,3,80},{25,37,80},{41,3,56},{41,21,9},{41,21,9},{41,23,9},{27,37,54},{11,23,9},{39,21,9},
{39,21,9},{39,21,9},{9,7,10},{25,5,50},{25,37,1},{25,37,1},{11,23,5},{10,1,50},{11,23,5},{23,5,72},{9,35,1},{39,21,4},{11,21,4},{23,5,72},{14,1,72},{11,21,4},{0,7,80},{14,1,72},{0,7,80},{25,0,80},{25,0,80},{25,0,80},{25,0,80},{41,5,5},{41,5,5},{41,5,5},{41,23,5},{27,7,5},{27,7,5},{39,1,148},{39,3,79},{39,5,110},
{39,5,83},{9,1,244},{9,35,79},{9,5,5},{9,21,122},{43,19,248},{11,21,77},{23,17,72},{23,19,2},{23,5,4},{23,5,25},{9,1,243},{25,19,74},{9,5,4},{27,21,73},{46,1,243},{27,21,73},{39,3,75},{39,3,75},{39,3,75},{39,21,75},{9,3,51},{9,5,5},{9,5,5},{9,7,18},{11,5,53},{41,37,2},{23,19,1},{23,19,1},{23,19,1},{23,21,1},{9,3,50},
{9,5,4},{9,5,4},{41,37,1},{31,3,50},{41,37,1},{23,17,72},{23,19,2},{7,5,4},{25,5,0},{23,17,72},{45,17,72},{25,5,0},{0,21,72},{45,17,72},{0,21,72},{39,0,74},{39,0,74},{39,0,74},{39,0,74},{9,5,1},{9,5,1},{9,5,1},{9,7,2},{41,37,1},{41,37,1},{7,1,184},{23,17,93},{7,19,122},{23,35,89},{23,1,260},{39,3,74},{39,35,15},
{39,5,106},{41,3,247},{25,5,85},{37,17,81},{7,33,5},{37,19,19},{7,35,17},{19,9,243},{39,3,73},{23,35,10},{41,5,80},{45,1,243},{41,5,80},{23,1,80},{23,1,80},{23,1,80},{23,35,80},{39,17,51},{39,35,6},{39,35,6},{39,21,6},{25,35,54},{9,21,9},{7,33,4},{7,33,4},{7,33,4},{7,5,5},{23,3,50},{23,35,1},{23,35,1},{9,21,5},{43,3,50},
{9,21,5},{21,3,72},{7,33,1},{37,19,10},{23,35,9},{21,3,72},{43,1,72},{23,35,9},{0,5,80},{43,1,72},{0,5,80},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{39,19,1},{39,19,1},{39,19,1},{39,21,2},{25,5,5},{25,5,5},{21,1,234},{37,1,79},{37,3,110},{37,3,90},{37,1,300},{7,33,82},{7,3,9},{23,19,139},{41,17,248},{9,19,83},{21,1,90},
{21,17,2},{21,3,4},{21,3,25},{21,17,243},{23,17,74},{7,3,5},{25,19,75},{17,21,243},{25,19,75},{37,1,75},{37,1,75},{37,1,75},{37,19,74},{7,1,56},{7,19,6},{7,19,6},{7,5,21},{9,3,53},{9,35,6},{21,17,1},{21,17,1},{21,17,1},{21,19,4},{3,25,50},{7,19,2},{7,19,2},{9,35,2},{29,1,50},{9,35,2},{17,39,72},{21,17,2},{5,3,4},
{23,3,0},{17,39,72},{39,17,72},{23,3,0},{0,19,74},{39,17,72},{0,19,74},{37,0,74},{37,0,74},{37,0,74},{37,0,74},{7,3,5},{7,3,5},{7,3,5},{7,5,5},{9,35,5},{9,35,5},{5,1,290},{5,1,103},{5,17,110},{21,33,106},{5,1,345},{37,1,78},{37,17,13},{37,3,119},{39,1,248},{23,3,91},{35,1,126},{35,1,6},{35,17,8},{5,33,29},{35,1,243},
{37,1,74},{37,17,9},{9,33,81},{1,35,243},{9,33,81},{5,1,94},{5,1,94},{5,1,94},{21,33,90},{21,1,61},{37,17,9},{37,17,9},{37,19,9},{23,33,53},{7,19,8},{35,17,4},{35,17,4},{35,17,4},{35,3,4},{19,5,50},{21,33,0},{21,33,0},{7,19,4},{37,3,50},{7,19,4},{17,5,72},{35,1,2},{35,17,4},{7,17,4},{17,5,72},{5,17,72},{7,17,4},
{0,33,80},{5,17,72},{0,33,80},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{37,1,4},{37,1,4},{37,1,4},{37,19,5},{23,3,1},{23,3,1},{19,1,349},{35,1,185},{35,1,121},{35,1,81},{19,1,398},{5,1,102},{5,1,2},{21,17,122},{37,1,270},{7,17,66},{3,1,126},{19,1,45},{19,1,9},{19,1,25},{33,33,221},{35,1,82},{5,1,1},{23,17,61},{33,33,221},
{23,17,61},{35,1,121},{35,1,121},{35,1,121},{35,17,73},{35,1,94},{5,1,2},{5,1,2},{5,33,17},{7,1,53},{37,33,1},{19,1,9},{19,1,9},{19,1,9},{19,17,1},{3,3,50},{5,1,1},{5,1,1},{37,33,0},{3,3,50},{37,33,0},{1,3,61},{33,1,25},{3,1,1},{5,1,1},{1,3,61},{3,1,61},{5,1,1},{0,17,61},{3,1,61},{0,17,61},{35,0,72},
{35,0,72},{35,0,72},{35,0,72},{5,1,1},{5,1,1},{5,1,1},{5,3,1},{37,33,1},{37,33,1},{3,1,239},{3,1,164},{3,1,139},{19,1,89},{3,1,239},{19,1,62},{19,1,26},{35,17,34},{35,1,163},{21,1,10},{33,1,69},{33,1,29},{33,1,20},{33,1,4},{1,3,93},{3,1,38},{19,1,10},{21,1,10},{3,1,93},{21,1,10},{3,1,139},{3,1,139},{3,1,139},
{19,1,89},{19,1,138},{19,1,26},{19,1,26},{35,17,9},{5,1,74},{5,17,8},{33,1,20},{33,1,20},{33,1,20},{33,1,4},{17,3,50},{19,1,10},{19,1,10},{5,17,4},{35,1,50},{5,17,4},{1,17,5},{17,1,1},{17,1,0},{33,1,0},{1,17,5},{17,1,5},{33,1,0},{0,1,9},{17,1,5},{0,1,9},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{19,1,17},
{19,1,17},{19,1,17},{35,17,5},{21,1,1},{21,1,1},{17,1,162},{33,1,130},{33,1,121},{33,1,81},{33,1,138},{33,1,58},{33,1,49},{3,1,1},{19,1,82},{19,1,10},{17,1,18},{17,1,10},{17,1,9},{17,1,1},{1,17,18},{17,1,6},{17,1,5},{3,1,0},{17,1,18},{3,1,0},{33,1,121},{33,1,121},{33,1,121},{33,1,81},{33,1,89},{33,1,49},{33,1,49},
{3,1,1},{19,1,46},{19,1,10},{17,1,9},{17,1,9},{17,1,9},{17,1,1},{17,1,13},{17,1,5},{17,1,5},{3,1,0},{33,1,13},{3,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{33,0,72},{33,0,72},{33,0,72},{33,0,72},{3,1,26},{3,1,26},{3,1,26},{3,1,1},{19,1,10},
{19,1,10},{0,38,200},{0,20,25},{0,34,5},{0,34,85},{0,20,442},{0,34,266},{0,18,125},{0,2,318},{0,18,482},{0,2,343},{0,38,200},{0,20,25},{0,34,5},{0,34,85},{16,4,441},{0,34,266},{0,18,125},{0,2,318},{4,16,441},{0,2,318},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,41},{0,32,13},{0,32,13},{0,16,25},{0,16,46},{0,16,26},{0,4,1},
{0,4,1},{0,4,1},{0,2,1},{0,2,41},{0,32,13},{0,32,13},{0,16,25},{2,0,41},{0,16,25},{18,2,200},{0,20,25},{0,34,5},{0,34,85},{18,2,200},{38,0,200},{0,34,85},{0,18,208},{38,0,200},{0,18,208},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,10,202},{0,22,1},{0,20,26},
{0,4,41},{0,22,689},{0,20,352},{0,4,141},{0,18,468},{0,34,750},{0,18,504},{0,10,202},{0,22,1},{0,20,26},{0,4,41},{34,0,686},{0,20,352},{0,4,141},{0,18,468},{0,34,686},{0,18,468},{0,22,0},{0,22,0},{0,22,0},{0,34,1},{0,34,145},{0,18,45},{0,18,45},{0,32,85},{0,32,158},{0,32,94},{0,22,0},{0,22,0},{0,22,0},{0,34,1},{16,2,145},
{0,18,45},{0,18,45},{0,32,85},{34,0,145},{0,32,85},{20,16,200},{0,22,1},{16,20,5},{0,4,41},{20,16,200},{16,20,200},{0,4,41},{0,34,200},{16,20,200},{0,34,200},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{16,12,229},{16,8,30},{16,6,74},{16,36,58},{0,10,723},{0,6,282},{0,36,69},
{0,4,414},{0,20,868},{0,34,513},{16,12,204},{16,8,5},{32,6,29},{16,36,33},{4,2,723},{0,6,282},{0,36,69},{0,4,414},{10,0,723},{0,4,414},{16,8,30},{16,8,30},{16,8,30},{16,4,33},{0,6,164},{0,4,25},{0,4,25},{0,18,65},{0,18,206},{0,18,101},{16,8,5},{16,8,5},{16,8,5},{16,4,8},{2,2,162},{0,4,25},{0,4,25},{0,18,65},{2,2,162},
{0,18,65},{18,8,200},{16,8,1},{2,36,5},{0,36,20},{18,8,200},{44,0,200},{0,36,20},{0,4,218},{44,0,200},{0,4,218},{16,0,29},{16,0,29},{16,0,29},{16,0,29},{0,18,1},{0,18,1},{0,18,1},{0,32,0},{0,32,9},{0,32,9},{16,30,327},{32,40,139},{32,22,202},{16,6,151},{0,28,724},{0,8,236},{0,22,14},{0,20,350},{0,6,956},{0,20,494},{2,12,203},
{2,24,2},{2,22,27},{2,6,42},{36,2,723},{0,8,236},{0,22,14},{0,20,350},{20,4,723},{0,20,350},{16,42,125},{16,42,125},{16,42,125},{16,6,126},{0,24,164},{0,6,1},{0,6,1},{0,4,37},{0,4,280},{0,34,109},{2,24,1},{2,24,1},{2,24,1},{2,36,2},{18,4,162},{0,6,1},{0,6,1},{0,4,37},{36,2,162},{0,4,37},{8,0,200},{2,24,1},{18,22,5},
{0,22,10},{8,0,200},{47,0,200},{0,22,10},{0,36,200},{47,0,200},{0,36,200},{16,0,125},{16,0,125},{16,0,125},{16,0,125},{0,6,0},{0,6,0},{0,6,0},{0,18,1},{0,18,37},{0,18,37},{2,46,410},{2,26,218},{2,8,317},{2,38,226},{16,30,725},{16,40,217},{16,38,15},{0,6,312},{0,38,988},{0,6,417},{34,28,209},{18,26,13},{34,8,27},{18,38,34},{8,0,723},
{0,40,203},{16,38,14},{0,6,296},{47,0,723},{0,6,296},{2,12,208},{2,12,208},{2,12,208},{2,22,209},{16,42,163},{16,38,6},{16,38,6},{16,20,26},{0,6,285},{0,20,81},{18,26,9},{18,26,9},{18,26,9},{34,6,10},{2,24,162},{32,22,5},{32,22,5},{0,20,17},{28,0,162},{0,20,17},{24,2,200},{18,26,4},{4,8,9},{0,8,10},{24,2,200},{13,0,200},{0,8,10},
{0,22,208},{13,0,200},{0,22,208},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{16,8,1},{16,8,1},{16,8,1},{16,4,2},{0,4,45},{0,4,45},{18,15,402},{18,12,222},{34,24,331},{18,24,218},{32,47,725},{32,26,212},{32,24,5},{32,38,324},{0,24,884},{0,38,300},{4,30,200},{4,26,5},{4,24,36},{4,8,41},{40,0,723},{16,26,203},{32,24,4},{0,38,251},{46,2,723},
{0,38,251},{18,14,203},{18,14,203},{18,14,203},{18,8,202},{32,28,163},{32,24,5},{32,24,5},{32,6,21},{0,38,219},{0,6,13},{4,26,1},{4,26,1},{4,26,1},{4,38,0},{22,2,162},{2,8,1},{2,8,1},{0,6,4},{42,2,162},{0,6,4},{16,11,200},{34,42,4},{20,24,4},{32,24,0},{16,11,200},{25,0,200},{32,24,0},{0,38,202},{25,0,200},{0,38,202},{18,0,202},
{18,0,202},{18,0,202},{18,0,202},{32,40,1},{32,40,1},{32,40,1},{32,36,1},{0,6,9},{0,6,9},{4,15,408},{4,28,221},{4,10,317},{4,40,221},{18,31,725},{18,42,217},{18,40,6},{2,8,315},{0,26,788},{0,8,228},{20,47,204},{20,12,6},{36,10,27},{20,40,33},{10,2,723},{32,12,203},{18,40,5},{0,8,227},{45,2,723},{0,8,227},{4,14,208},{4,14,208},{4,14,208},
{4,24,209},{18,44,163},{18,40,2},{18,40,2},{18,22,26},{0,24,179},{0,38,3},{20,12,5},{20,12,5},{20,12,5},{20,24,5},{8,2,162},{18,40,1},{18,40,1},{0,38,2},{30,2,162},{0,38,2},{26,4,200},{20,12,2},{6,40,5},{18,40,4},{26,4,200},{7,0,200},{18,40,4},{0,24,208},{7,0,200},{0,24,208},{4,0,208},{4,0,208},{4,0,208},{4,0,208},{18,10,1},
{18,10,1},{18,10,1},{18,6,2},{0,38,2},{0,38,2},{20,13,402},{20,14,220},{36,26,331},{20,26,216},{34,45,725},{34,12,213},{34,26,5},{34,24,337},{0,12,740},{16,40,216},{6,31,202},{6,28,1},{6,26,36},{6,10,41},{42,2,723},{18,28,200},{34,26,4},{0,40,209},{44,6,723},{0,40,209},{20,46,200},{20,46,200},{20,46,200},{20,10,201},{34,30,163},{34,26,5},{34,26,5},
{34,8,18},{0,26,164},{32,8,2},{6,28,0},{6,28,0},{6,28,0},{6,40,1},{24,4,162},{4,10,1},{4,10,1},{2,8,2},{11,0,162},{2,8,2},{14,0,200},{6,28,1},{22,26,4},{34,26,0},{14,0,200},{8,10,200},{34,26,0},{0,40,200},{8,10,200},{0,40,200},{20,0,200},{20,0,200},{20,0,200},{20,0,200},{34,42,1},{34,42,1},{34,42,1},{34,38,1},{32,8,1},
{32,8,1},{6,13,404},{6,30,219},{6,12,327},{6,42,215},{20,29,725},{20,44,217},{20,12,9},{4,10,321},{0,14,723},{32,26,222},{38,15,206},{38,14,8},{38,12,24},{22,42,34},{14,0,723},{4,14,203},{20,12,8},{0,26,203},{8,10,723},{0,26,203},{6,47,202},{6,47,202},{6,47,202},{6,26,206},{20,46,163},{20,12,5},{20,12,5},{20,24,30},{32,42,164},{2,40,6},{38,44,4},
{38,44,4},{38,44,4},{38,10,5},{38,10,162},{20,12,4},{20,12,4},{2,40,2},{23,0,162},{2,40,2},{30,2,200},{38,14,4},{8,12,4},{4,12,4},{30,2,200},{35,2,200},{4,12,4},{0,26,202},{35,2,200},{0,26,202},{6,0,202},{6,0,202},{6,0,202},{6,0,202},{20,12,1},{20,12,1},{20,12,1},{20,8,2},{2,10,4},{2,10,4},{22,11,402},{22,47,227},{38,44,321},
{22,28,218},{36,27,727},{36,30,215},{36,28,13},{36,42,327},{32,30,725},{18,42,212},{8,29,200},{8,30,4},{24,28,29},{8,12,45},{0,1,723},{20,30,203},{6,28,5},{32,42,202},{1,0,723},{32,42,202},{22,15,202},{22,15,202},{22,15,202},{22,12,202},{36,15,168},{36,28,13},{36,28,13},{36,10,17},{2,28,163},{34,10,9},{8,30,0},{8,30,0},{8,30,0},{8,42,0},{28,2,162},
{6,12,5},{6,12,5},{4,10,4},{42,8,162},{4,10,4},{47,2,200},{8,30,4},{24,28,4},{36,28,0},{47,2,200},{17,2,200},{36,28,0},{0,42,202},{17,2,200},{0,42,202},{22,0,202},{22,0,202},{22,0,202},{22,0,202},{36,14,5},{36,14,5},{36,14,5},{36,40,4},{34,26,2},{34,26,2},{8,11,408},{8,31,221},{8,14,312},{8,44,226},{22,27,724},{22,46,217},{22,44,12},
{6,12,321},{2,47,728},{34,28,234},{40,29,209},{24,47,10},{40,14,22},{24,44,34},{18,3,723},{36,47,203},{22,44,11},{32,28,208},{45,8,723},{32,28,208},{8,15,209},{8,15,209},{8,15,209},{8,28,209},{22,15,165},{22,44,3},{22,44,3},{22,26,30},{34,44,164},{4,42,6},{40,30,10},{40,30,10},{40,30,10},{40,12,10},{16,3,162},{22,44,2},{22,44,2},{4,42,2},{17,0,162},
{4,42,2},{15,2,200},{24,47,1},{10,14,4},{6,14,5},{15,2,200},{33,4,200},{6,14,5},{0,28,208},{33,4,200},{0,28,208},{8,0,208},{8,0,208},{8,0,208},{8,0,208},{22,14,1},{22,14,1},{22,14,1},{22,10,2},{4,12,4},{4,12,4},{24,9,402},{24,45,227},{40,46,324},{24,30,218},{38,25,727},{38,47,213},{38,30,13},{38,28,325},{34,31,727},{20,44,218},{10,27,202},
{10,31,1},{26,30,29},{10,14,45},{4,3,723},{22,31,200},{8,30,8},{34,44,202},{3,4,723},{34,44,202},{24,13,202},{24,13,202},{24,13,202},{24,14,202},{38,13,168},{38,30,13},{38,30,13},{38,12,17},{4,30,163},{36,12,9},{10,31,0},{10,31,0},{10,31,0},{10,44,0},{30,4,162},{8,14,4},{8,14,4},{6,12,4},{15,8,162},{6,12,4},{43,0,200},{10,31,1},{26,30,4},
{38,30,0},{43,0,200},{19,6,200},{38,30,0},{0,44,202},{19,6,200},{0,44,202},{24,0,202},{24,0,202},{24,0,202},{24,0,202},{38,46,5},{38,46,5},{38,46,5},{38,42,4},{20,28,4},{20,28,4},{10,9,404},{10,29,219},{26,47,330},{10,46,222},{24,9,723},{24,15,209},{24,47,18},{8,14,324},{4,45,723},{36,30,222},{42,11,206},{42,15,8},{42,47,22},{26,46,41},{43,0,723},
{8,15,202},{24,47,18},{4,30,202},{19,6,723},{4,30,202},{10,43,202},{10,43,202},{10,43,202},{10,30,206},{24,13,162},{24,46,8},{24,46,8},{24,44,25},{20,47,168},{22,44,4},{42,15,4},{42,15,4},{42,15,4},{42,14,8},{45,0,162},{40,46,4},{40,46,4},{22,44,0},{27,8,162},{22,44,0},{38,3,200},{42,15,4},{12,47,9},{8,47,10},{38,3,200},{35,8,200},{8,47,10},
{0,30,202},{35,8,200},{0,30,202},{10,0,202},{10,0,202},{10,0,202},{10,0,202},{24,47,0},{24,47,0},{24,47,0},{24,12,4},{22,44,4},{22,44,4},{26,7,408},{42,13,236},{42,15,332},{26,31,224},{40,23,727},{40,45,213},{40,31,8},{40,46,312},{36,29,725},{22,46,218},{12,25,201},{12,13,6},{28,31,29},{12,47,42},{11,0,723},{24,29,203},{40,31,4},{6,46,209},{5,8,723},
{6,46,209},{26,41,208},{26,41,208},{26,41,208},{26,47,208},{40,11,168},{40,31,8},{40,31,8},{40,14,22},{6,31,163},{38,30,10},{12,13,2},{12,13,2},{12,13,2},{12,46,2},{29,2,162},{10,47,2},{10,47,2},{22,30,9},{35,6,162},{22,30,9},{41,2,200},{42,13,4},{44,31,1},{40,31,0},{41,2,200},{17,8,200},{40,31,0},{0,46,208},{17,8,200},{0,46,208},{26,0,208},
{26,0,208},{26,0,208},{26,0,208},{40,15,4},{40,15,4},{40,15,4},{40,44,5},{38,30,1},{38,30,1},{12,7,404},{12,27,212},{12,45,332},{12,15,215},{26,23,724},{26,13,216},{26,15,8},{26,47,318},{6,43,723},{8,47,227},{44,9,206},{44,13,8},{44,45,22},{28,15,38},{24,3,723},{10,13,202},{26,15,8},{6,31,209},{3,24,723},{6,31,209},{12,41,202},{12,41,202},{12,41,202},
{12,31,203},{26,11,162},{26,15,4},{26,15,4},{26,46,25},{38,15,162},{24,46,4},{44,13,4},{44,13,4},{44,13,4},{44,47,5},{43,2,162},{26,15,4},{26,15,4},{24,46,0},{21,8,162},{24,46,0},{29,12,200},{28,43,2},{14,15,8},{26,15,4},{29,12,200},{26,13,200},{26,15,4},{0,31,208},{26,13,200},{0,31,208},{12,0,202},{12,0,202},{12,0,202},{12,0,202},{26,45,0},
{26,45,0},{26,45,0},{26,14,4},{24,46,4},{24,46,4},{28,5,402},{28,41,222},{44,13,332},{28,29,218},{42,21,727},{42,43,213},{42,29,8},{42,31,340},{38,27,724},{24,15,217},{14,23,201},{14,27,3},{30,29,29},{14,45,42},{9,2,723},{26,27,201},{42,29,4},{22,15,201},{2,9,723},{22,15,201},{28,9,202},{28,9,202},{28,9,202},{28,45,203},{42,9,168},{42,29,8},{42,29,8},
{42,47,21},{8,29,163},{40,47,2},{14,11,2},{14,11,2},{14,11,2},{14,15,2},{38,1,162},{12,45,2},{12,45,2},{10,47,2},{43,28,162},{10,47,2},{37,0,200},{14,27,2},{46,29,1},{42,29,0},{37,0,200},{36,9,200},{42,29,0},{0,15,200},{36,9,200},{0,15,200},{28,0,202},{28,0,202},{28,0,202},{28,0,202},{42,13,4},{42,13,4},{42,13,4},{42,46,5},{40,47,1},
{40,47,1},{14,35,400},{14,25,217},{30,43,340},{14,13,213},{28,5,723},{28,11,209},{28,43,8},{12,45,332},{8,41,724},{40,29,222},{46,7,201},{46,41,2},{46,43,21},{30,13,41},{37,0,723},{12,41,203},{28,43,8},{8,29,202},{36,9,723},{8,29,202},{14,23,201},{14,23,201},{14,23,201},{14,13,204},{28,9,162},{28,43,4},{28,43,4},{28,31,29},{40,13,164},{26,15,3},{46,11,2},
{46,11,2},{46,11,2},{46,29,5},{39,0,162},{44,13,2},{44,13,2},{10,15,2},{9,28,162},{10,15,2},{21,2,200},{46,41,1},{47,43,5},{12,43,4},{21,2,200},{24,9,200},{12,43,4},{0,29,202},{24,9,200},{0,29,202},{14,0,200},{14,0,200},{14,0,200},{14,0,200},{28,43,0},{28,43,0},{28,43,0},{28,47,1},{26,15,2},{26,15,2},{30,3,410},{46,9,227},{46,27,318},
{30,27,224},{14,5,728},{44,25,215},{14,27,8},{44,13,332},{40,25,725},{26,13,212},{47,21,200},{47,25,4},{47,27,25},{47,43,52},{5,0,723},{28,25,203},{14,27,4},{40,13,202},{0,5,723},{40,13,202},{30,7,209},{30,7,209},{30,7,209},{30,43,208},{14,39,166},{14,27,8},{14,27,8},{44,45,22},{10,27,163},{12,45,8},{47,25,0},{47,25,0},{47,25,0},{47,13,0},{23,2,162},
{14,27,4},{14,27,4},{12,45,4},{20,9,162},{12,45,4},{35,2,200},{47,25,4},{15,27,4},{44,27,0},{35,2,200},{34,5,200},{44,27,0},{0,13,202},{34,5,200},{0,13,202},{30,0,208},{30,0,208},{30,0,208},{30,0,208},{14,27,4},{14,27,4},{14,27,4},{14,15,8},{42,29,2},{42,29,2},{47,3,408},{47,23,218},{47,41,312},{47,11,226},{30,3,723},{30,9,209},{30,41,8},
{14,43,332},{10,39,723},{12,43,236},{15,21,209},{31,39,10},{15,41,22},{31,11,43},{30,3,723},{44,39,204},{30,41,8},{40,27,208},{42,9,723},{40,27,208},{47,7,209},{47,7,209},{47,7,209},{47,27,208},{30,7,162},{30,41,4},{30,41,4},{30,29,29},{42,11,164},{12,13,6},{31,23,9},{31,23,9},{31,23,9},{31,27,10},{37,2,162},{46,11,2},{46,11,2},{12,13,2},{34,7,162},
{12,13,2},{46,1,200},{31,39,1},{45,41,5},{14,41,4},{46,1,200},{26,7,200},{14,41,4},{0,27,208},{26,7,200},{0,27,208},{47,0,208},{47,0,208},{47,0,208},{47,0,208},{30,41,0},{30,41,0},{30,41,0},{30,45,1},{12,43,4},{12,43,4},{31,1,402},{31,37,222},{15,9,324},{31,25,218},{46,17,733},{46,23,215},{46,25,18},{46,27,330},{42,23,725},{28,11,219},{45,19,202},
{45,23,4},{45,25,25},{45,41,52},{3,2,723},{30,23,203},{47,25,8},{42,11,202},{2,3,723},{42,11,202},{31,5,202},{31,5,202},{31,5,202},{31,41,202},{46,5,173},{46,25,18},{46,25,18},{46,43,22},{12,25,163},{14,43,8},{45,23,0},{45,23,0},{45,23,0},{45,11,0},{44,1,162},{47,41,4},{47,41,4},{14,43,4},{26,9,162},{14,43,4},{31,1,200},{45,23,4},{13,25,4},
{46,25,0},{31,1,200},{32,1,200},{46,25,0},{0,11,202},{32,1,200},{0,11,202},{31,0,202},{31,0,202},{31,0,202},{31,0,202},{46,9,10},{46,9,10},{46,9,10},{46,13,9},{28,27,4},{28,27,4},{45,1,404},{45,21,218},{29,39,325},{45,9,222},{31,1,723},{31,7,209},{31,39,13},{47,41,324},{12,37,725},{44,25,227},{13,3,206},{13,37,9},{13,39,17},{29,9,48},{31,1,723},
{47,7,208},{31,39,13},{12,25,202},{32,1,723},{12,25,202},{45,35,202},{45,35,202},{45,35,202},{45,25,203},{31,5,162},{31,9,8},{31,9,8},{31,27,29},{14,9,166},{30,11,1},{13,7,4},{13,7,4},{13,7,4},{13,25,8},{31,5,162},{15,9,4},{15,9,4},{30,11,0},{14,9,162},{30,11,0},{17,6,200},{29,21,4},{43,39,4},{46,39,5},{17,6,200},{20,1,200},{46,39,5},
{0,25,202},{20,1,200},{0,25,202},{45,0,202},{45,0,202},{45,0,202},{45,0,202},{31,39,0},{31,39,0},{31,39,0},{31,27,4},{30,11,1},{30,11,1},{13,1,440},{29,35,234},{13,7,321},{29,23,218},{45,1,732},{15,21,215},{45,23,12},{15,9,312},{44,21,731},{30,9,221},{43,17,201},{43,5,6},{27,23,30},{43,39,46},{45,1,723},{31,21,203},{45,23,3},{14,9,209},{27,9,723},
{14,9,209},{29,33,208},{29,33,208},{29,33,208},{29,39,208},{15,3,168},{45,23,11},{45,23,11},{15,41,22},{14,23,168},{46,25,10},{43,5,2},{43,5,2},{43,5,2},{43,9,2},{17,2,162},{45,23,2},{45,23,2},{30,25,10},{16,1,162},{30,25,10},{27,3,200},{13,5,4},{11,23,2},{15,23,1},{27,3,200},{39,9,200},{15,23,1},{0,9,208},{39,9,200},{0,9,208},{29,0,208},
{29,0,208},{29,0,208},{29,0,208},{15,7,5},{15,7,5},{15,7,5},{15,11,4},{46,25,1},{46,25,1},{43,1,500},{43,19,212},{43,37,327},{43,7,220},{13,1,760},{29,5,209},{29,37,13},{45,39,321},{14,35,724},{46,23,227},{11,1,206},{11,35,9},{11,37,17},{27,7,43},{33,10,723},{15,35,204},{29,37,13},{14,23,202},{38,1,723},{14,23,202},{43,33,202},{43,33,202},{43,33,202},
{43,23,203},{29,3,162},{29,7,5},{29,7,5},{29,25,29},{46,7,165},{31,9,4},{11,5,4},{11,5,4},{11,5,4},{11,39,5},{29,3,162},{13,7,5},{13,7,5},{31,9,0},{43,9,162},{31,9,0},{39,7,200},{27,35,2},{41,37,4},{15,37,5},{39,7,200},{26,1,200},{15,37,5},{0,23,202},{26,1,200},{0,23,202},{43,0,202},{43,0,202},{43,0,202},{43,0,202},{29,37,0},
{29,37,0},{29,37,0},{29,25,4},{31,9,4},{31,9,4},{11,1,530},{27,33,222},{11,5,321},{27,21,219},{27,1,812},{13,19,215},{13,21,9},{13,7,327},{46,19,724},{31,7,219},{25,1,225},{41,3,6},{25,21,30},{41,37,46},{41,3,723},{29,19,203},{13,21,5},{46,7,202},{21,9,723},{46,7,202},{27,1,203},{27,1,203},{27,1,203},{27,37,202},{13,1,168},{13,21,8},{13,21,8},
{13,39,24},{47,21,163},{15,39,8},{41,3,2},{41,3,2},{41,3,2},{41,7,1},{39,11,162},{13,21,4},{13,21,4},{45,39,4},{22,1,162},{45,39,4},{25,1,200},{11,3,4},{9,21,2},{13,21,1},{25,1,200},{33,9,200},{13,21,1},{0,7,202},{33,9,200},{0,7,202},{27,0,202},{27,0,202},{27,0,202},{27,0,202},{13,5,4},{13,5,4},{13,5,4},{13,9,4},{15,39,4},
{15,39,4},{25,1,634},{41,17,216},{25,35,337},{41,5,220},{41,1,863},{27,3,211},{27,35,5},{27,37,331},{47,33,725},{15,21,220},{9,1,251},{9,33,2},{9,35,18},{25,5,48},{25,1,723},{43,33,203},{27,35,5},{47,21,200},{33,9,723},{47,21,200},{41,1,209},{41,1,209},{41,1,209},{41,5,204},{27,1,164},{27,35,4},{27,35,4},{27,7,36},{15,5,164},{29,7,1},{9,3,2},
{9,3,2},{9,3,2},{9,21,2},{25,5,162},{11,5,1},{11,5,1},{29,7,0},{10,1,162},{29,7,0},{23,17,200},{9,33,1},{39,35,1},{43,35,1},{23,17,200},{45,17,200},{43,35,1},{0,21,200},{45,17,200},{0,21,200},{41,0,200},{41,0,200},{41,0,200},{41,0,200},{27,35,0},{27,35,0},{27,35,0},{27,23,4},{29,7,1},{29,7,1},{39,1,724},{9,1,228},{9,3,315},
{25,19,218},{9,1,932},{11,17,213},{41,19,6},{11,5,317},{15,17,725},{29,5,221},{23,1,288},{39,1,3},{23,19,26},{39,19,51},{39,1,723},{27,17,203},{41,19,2},{15,5,208},{31,1,723},{15,5,208},{9,1,227},{9,1,227},{9,1,227},{25,35,209},{41,1,174},{41,19,5},{41,19,5},{11,37,27},{45,19,163},{13,21,6},{39,1,2},{39,1,2},{39,1,2},{39,5,2},{9,3,162},
{41,19,1},{41,19,1},{13,21,5},{31,3,162},{13,21,5},{21,3,200},{39,1,2},{7,19,2},{11,19,1},{21,3,200},{43,1,200},{11,19,1},{0,5,208},{43,1,200},{0,5,208},{25,0,208},{25,0,208},{25,0,208},{25,0,208},{41,19,4},{41,19,4},{41,19,4},{41,7,5},{13,21,2},{13,21,2},{23,1,864},{39,1,300},{39,33,324},{39,3,222},{39,1,1020},{25,1,211},{25,33,5},
{25,35,331},{29,1,732},{13,19,222},{37,1,347},{7,1,13},{7,33,21},{23,3,48},{1,13,723},{25,1,211},{25,33,5},{15,19,203},{13,1,723},{15,19,203},{39,1,251},{39,1,251},{39,1,251},{39,19,203},{9,1,195},{25,33,4},{25,33,4},{25,5,36},{13,3,164},{27,5,5},{7,1,4},{7,1,4},{7,1,4},{7,35,8},{23,3,162},{9,3,1},{9,3,1},{27,5,1},{43,3,162},
{27,5,1},{17,39,200},{7,1,9},{37,33,1},{41,33,1},{17,39,200},{39,17,200},{41,33,1},{0,19,202},{39,17,200},{0,19,202},{39,0,202},{39,0,202},{39,0,202},{39,0,202},{25,33,0},{25,33,0},{25,33,0},{25,21,4},{43,35,4},{43,35,4},{37,1,1012},{7,1,417},{7,1,312},{23,17,218},{7,1,1144},{39,1,268},{39,17,15},{9,3,317},{27,1,804},{27,3,218},{5,1,398},
{21,1,81},{21,17,26},{37,17,51},{35,3,723},{23,1,254},{39,17,6},{13,3,208},{25,1,723},{13,3,208},{7,1,296},{7,1,296},{7,1,296},{23,33,209},{39,1,243},{39,17,14},{39,17,14},{9,35,27},{43,17,163},{27,19,13},{21,1,17},{21,1,17},{21,1,17},{37,3,1},{3,25,162},{39,17,5},{39,17,5},{27,19,9},{29,1,162},{27,19,9},{19,1,200},{5,1,45},{5,17,2},
{9,17,1},{19,1,200},{37,1,200},{9,17,1},{0,3,208},{37,1,200},{0,3,208},{23,0,208},{23,0,208},{23,0,208},{23,0,208},{9,1,10},{9,1,10},{9,1,10},{9,5,9},{27,19,4},{27,19,4},{5,1,919},{21,1,494},{21,1,350},{37,1,201},{21,1,1014},{7,1,251},{23,1,14},{23,33,202},{9,1,721},{41,33,139},{19,1,341},{35,1,109},{5,1,37},{5,1,26},{3,3,546},
{37,1,213},{7,1,1},{43,17,125},{3,3,546},{43,17,125},{21,1,350},{21,1,350},{21,1,350},{37,1,201},{37,1,312},{23,1,14},{23,1,14},{23,3,27},{41,1,168},{25,3,2},{5,1,37},{5,1,37},{5,1,37},{5,17,5},{19,5,162},{7,1,1},{7,1,1},{25,3,1},{37,3,162},{25,3,1},{33,1,113},{19,1,37},{19,1,1},{7,1,0},{33,1,113},{35,1,113},{7,1,0},
{0,17,125},{35,1,113},{0,17,125},{37,0,200},{37,0,200},{37,0,200},{37,0,200},{23,1,10},{23,1,10},{23,1,10},{23,19,5},{25,3,1},{25,3,1},{35,1,773},{35,1,513},{5,1,414},{5,1,227},{35,1,818},{21,1,218},{37,1,69},{7,17,74},{23,1,534},{9,17,30},{3,1,190},{19,1,101},{19,1,65},{35,1,5},{33,33,333},{35,1,114},{5,1,25},{9,17,30},{33,33,333},
{9,17,30},{5,1,414},{5,1,414},{5,1,414},{5,1,227},{21,1,373},{37,1,69},{37,1,69},{7,33,29},{9,1,216},{9,17,5},{19,1,65},{19,1,65},{19,1,65},{35,1,5},{3,3,162},{5,1,25},{5,1,25},{9,17,5},{3,3,162},{9,17,5},{17,1,25},{33,1,9},{33,1,0},{19,1,1},{17,1,25},{33,1,25},{19,1,1},{0,17,29},{33,1,25},{0,17,29},{5,0,218},
{5,0,218},{5,0,218},{5,0,218},{37,1,20},{37,1,20},{37,1,20},{37,3,5},{9,17,1},{9,17,1},{3,1,642},{19,1,504},{19,1,468},{35,1,264},{19,1,657},{35,1,229},{5,1,141},{21,1,26},{21,1,457},{23,1,1},{33,1,134},{33,1,94},{33,1,85},{3,1,26},{1,19,193},{19,1,81},{19,1,45},{23,1,0},{19,1,193},{23,1,0},{19,1,468},{19,1,468},{19,1,468},
{35,1,264},{35,1,425},{5,1,141},{5,1,141},{21,1,26},{7,1,254},{23,1,1},{33,1,85},{33,1,85},{33,1,85},{3,1,26},{17,3,145},{19,1,45},{19,1,45},{23,1,0},{35,1,145},{23,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{35,0,200},{35,0,200},{35,0,200},{35,0,200},{5,1,41},
{5,1,41},{5,1,41},{21,17,5},{23,1,1},{23,1,1},{3,1,418},{3,1,343},{3,1,318},{3,1,243},{3,1,370},{19,1,161},{19,1,125},{35,1,5},{35,1,250},{21,1,25},{17,1,34},{17,1,26},{17,1,25},{33,1,13},{17,1,54},{33,1,22},{33,1,13},{5,1,1},{33,1,54},{5,1,1},{3,1,318},{3,1,318},{3,1,318},{3,1,243},{3,1,270},{19,1,125},{19,1,125},
{35,1,5},{5,1,165},{21,1,25},{17,1,25},{17,1,25},{17,1,25},{33,1,13},{1,3,41},{33,1,13},{33,1,13},{5,1,1},{3,1,41},{5,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{19,0,208},{19,0,208},{19,0,208},{19,0,208},{35,1,85},{35,1,85},{35,1,85},{35,1,5},{21,1,25},
{21,1,25},{0,26,421},{0,38,45},{0,36,2},{0,20,160},{0,38,926},{0,20,577},{0,4,264},{0,18,701},{0,34,989},{0,18,737},{0,26,421},{0,38,45},{0,36,2},{0,20,160},{34,0,925},{0,20,577},{0,4,264},{0,18,701},{0,34,925},{0,18,701},{0,20,1},{0,20,1},{0,20,1},{0,18,1},{0,18,85},{0,2,34},{0,2,34},{0,32,53},{0,32,94},{0,32,62},{0,20,1},
{0,20,1},{0,20,1},{0,18,1},{32,0,85},{0,2,34},{0,2,34},{0,32,53},{18,0,85},{0,32,53},{34,4,421},{0,38,45},{0,36,2},{0,20,160},{34,4,421},{26,0,421},{0,20,160},{0,34,421},{26,0,421},{0,34,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,44,421},{0,24,13},{0,22,32},
{0,36,113},{0,24,1262},{0,6,670},{0,20,304},{0,4,886},{0,4,1382},{0,34,953},{0,44,421},{0,24,13},{0,22,32},{0,36,113},{18,4,1261},{0,6,670},{0,20,304},{0,4,886},{36,2,1261},{0,4,886},{0,8,0},{0,8,0},{0,8,0},{0,4,0},{0,4,221},{0,34,73},{0,34,73},{0,2,125},{0,2,246},{0,2,150},{0,8,0},{0,8,0},{0,8,0},{0,4,0},{2,0,221},
{0,34,73},{0,34,73},{0,2,125},{4,0,221},{0,2,125},{22,0,421},{0,24,13},{16,6,8},{0,36,113},{22,0,421},{44,0,421},{0,36,113},{0,20,433},{44,0,421},{0,20,433},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,430},{0,26,10},{16,38,79},{0,22,74},{0,42,1514},{0,38,717},{0,6,253},
{0,20,965},{0,36,1713},{0,4,1109},{16,46,425},{16,10,9},{16,38,54},{0,22,74},{20,2,1514},{0,38,717},{0,6,253},{0,20,965},{42,0,1514},{0,20,965},{0,26,10},{0,26,10},{0,26,10},{0,36,9},{0,6,340},{0,20,97},{0,20,97},{0,18,185},{0,18,382},{0,18,221},{16,10,5},{16,10,5},{16,10,5},{16,36,5},{2,2,338},{0,20,97},{0,20,97},{0,18,185},{2,2,338},
{0,18,185},{8,0,421},{0,26,1},{2,38,2},{0,22,65},{8,0,421},{31,0,421},{0,22,65},{0,36,421},{31,0,421},{0,36,421},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,32,0},{0,32,0},{0,32,0},{0,16,0},{0,16,1},{0,16,1},{16,45,482},{16,12,66},{32,24,186},{16,8,126},{0,14,1517},{0,24,605},{0,38,117},{0,6,886},{0,22,1815},{0,36,1085},{32,31,421},
{32,42,1},{2,8,51},{32,38,85},{22,16,1514},{0,24,605},{0,38,117},{0,6,886},{44,16,1514},{0,6,886},{16,28,61},{16,28,61},{16,28,61},{16,22,62},{0,24,340},{0,22,37},{0,22,37},{0,4,125},{0,4,456},{0,34,213},{32,42,0},{32,42,0},{32,42,0},{32,6,1},{18,4,338},{0,22,37},{0,22,37},{0,4,125},{36,2,338},{0,4,125},{40,0,421},{32,42,1},{18,8,5},
{0,8,37},{40,0,421},{13,0,421},{0,8,37},{0,22,433},{13,0,421},{0,22,433},{16,0,61},{16,0,61},{16,0,61},{16,0,61},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,32,25},{0,32,25},{32,43,623},{32,44,219},{32,10,382},{32,24,243},{0,15,1517},{0,26,497},{0,24,35},{0,22,761},{0,8,2003},{0,22,1050},{18,15,422},{18,28,6},{18,40,51},{2,24,77},{24,0,1514},
{0,26,497},{0,24,35},{0,22,761},{32,8,1514},{0,22,761},{32,30,202},{32,30,202},{32,30,202},{32,8,203},{0,28,338},{0,8,10},{0,8,10},{0,20,89},{0,6,565},{0,20,233},{18,12,1},{18,12,1},{18,12,1},{18,38,1},{2,24,338},{0,8,10},{0,8,10},{0,20,89},{28,0,338},{0,20,89},{40,4,421},{2,28,5},{4,40,1},{0,24,26},{40,4,421},{25,0,421},{0,24,26},
{0,38,425},{25,0,421},{0,38,425},{32,0,202},{32,0,202},{32,0,202},{32,0,202},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,34,68},{0,34,68},{2,11,821},{2,30,429},{2,26,634},{2,10,429},{0,27,1514},{0,28,446},{0,10,8},{0,8,670},{0,40,2187},{0,38,1083},{34,29,422},{34,14,6},{4,26,50},{34,10,86},{38,6,1514},{0,28,446},{0,10,8},{0,8,670},{27,0,1514},
{0,8,670},{2,31,401},{2,31,401},{2,31,401},{2,24,404},{0,46,340},{0,10,4},{0,10,4},{0,6,52},{0,22,677},{0,6,277},{34,14,2},{34,14,2},{34,14,2},{34,8,5},{22,2,338},{0,10,4},{0,10,4},{0,6,52},{42,2,338},{0,6,52},{28,0,421},{34,14,5},{36,10,5},{0,10,4},{28,0,421},{7,0,421},{0,10,4},{0,24,425},{7,0,421},{0,24,425},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,26,0},{0,26,0},{0,26,0},{0,36,1},{0,4,149},{0,4,149},{18,9,842},{18,47,462},{34,12,661},{18,26,450},{16,25,1521},{16,14,441},{16,42,15},{16,24,653},{0,26,2030},{0,24,882},{20,13,425},{20,30,9},{20,42,54},{4,26,77},{26,2,1514},{0,14,422},{16,42,11},{0,24,626},{38,8,1514},{0,24,626},{18,45,421},{18,45,421},{18,45,421},
{18,10,422},{16,15,344},{16,42,14},{16,42,14},{16,38,38},{0,24,602},{0,38,162},{20,14,4},{20,14,4},{20,14,4},{20,40,5},{8,2,338},{32,26,2},{32,26,2},{0,38,18},{30,2,338},{0,38,18},{14,0,421},{4,30,5},{6,42,1},{0,42,1},{14,0,421},{19,0,421},{0,42,1},{0,40,421},{19,0,421},{0,40,421},{18,0,421},{18,0,421},{18,0,421},{18,0,421},{16,12,5},
{16,12,5},{16,12,5},{16,6,8},{0,6,80},{0,6,80},{4,9,854},{4,31,458},{4,28,674},{34,12,453},{2,25,1515},{32,30,445},{2,12,9},{32,10,657},{0,28,1850},{0,10,666},{36,27,422},{36,46,6},{6,28,48},{36,12,86},{16,7,1514},{16,46,421},{2,12,8},{0,10,545},{21,0,1514},{0,10,545},{34,13,433},{34,13,433},{34,13,433},{34,42,433},{2,15,339},{2,12,5},{2,12,5},
{32,8,50},{0,10,477},{0,8,62},{36,46,2},{36,46,2},{36,46,2},{36,10,5},{24,4,338},{2,12,4},{2,12,4},{0,24,9},{11,0,338},{0,24,9},{0,1,421},{36,46,5},{38,12,5},{2,12,4},{0,1,421},{1,0,421},{2,12,4},{0,26,425},{1,0,421},{0,26,425},{4,0,433},{4,0,433},{4,0,433},{4,0,433},{2,28,1},{2,28,1},{2,28,1},{2,38,2},{0,8,37},
{0,8,37},{20,7,842},{20,45,455},{36,14,655},{20,28,450},{34,9,1523},{18,47,450},{34,44,13},{18,42,659},{0,14,1731},{0,42,542},{22,11,422},{22,47,5},{22,44,50},{6,28,86},{30,0,1514},{2,47,421},{34,44,4},{0,42,506},{33,0,1514},{0,42,506},{20,43,421},{20,43,421},{20,43,421},{20,12,425},{18,13,347},{34,28,11},{34,28,11},{18,40,43},{0,12,389},{0,10,9},{22,47,1},
{22,47,1},{22,47,1},{22,42,1},{38,10,338},{34,28,2},{34,28,2},{0,10,5},{23,0,338},{0,10,5},{2,1,421},{22,47,4},{8,44,0},{18,44,0},{2,1,421},{1,2,421},{18,44,0},{0,42,425},{1,2,421},{0,42,425},{20,0,421},{20,0,421},{20,0,421},{20,0,421},{18,30,9},{18,30,9},{18,30,9},{34,8,10},{0,10,5},{0,10,5},{6,37,846},{6,29,454},{6,46,685},
{6,14,459},{4,7,1517},{4,31,446},{4,14,19},{34,12,655},{0,47,1635},{0,12,478},{38,9,425},{38,15,6},{8,30,41},{38,14,77},{47,0,1514},{18,15,422},{20,14,11},{0,12,477},{27,6,1514},{0,12,477},{6,27,426},{6,27,426},{6,27,426},{6,44,426},{4,13,340},{4,14,10},{4,14,10},{4,26,50},{0,44,355},{16,26,6},{38,15,5},{38,15,5},{38,15,5},{38,28,5},{28,2,338},
{20,14,2},{20,14,2},{32,26,1},{42,8,338},{32,26,1},{29,0,421},{38,15,2},{40,14,10},{18,30,9},{29,0,421},{33,4,421},{18,30,9},{0,28,425},{33,4,421},{0,28,425},{6,0,425},{6,0,425},{6,0,425},{6,0,425},{4,30,1},{4,30,1},{4,30,1},{4,40,0},{16,26,5},{16,26,5},{22,5,842},{22,43,455},{38,47,679},{22,30,455},{20,21,1521},{20,15,438},{36,46,13},
{20,28,653},{0,15,1553},{16,44,454},{24,9,422},{24,45,5},{24,46,50},{8,30,77},{34,3,1514},{4,45,422},{36,46,4},{0,44,434},{35,4,1514},{0,44,434},{22,41,421},{22,41,421},{22,41,421},{22,14,422},{20,11,342},{36,30,11},{36,30,11},{20,42,38},{0,46,340},{32,12,5},{24,45,1},{24,45,1},{24,45,1},{24,44,1},{16,3,338},{36,30,2},{36,30,2},{32,12,4},{17,0,338},
{32,12,4},{43,0,421},{24,45,4},{10,46,0},{4,46,1},{43,0,421},{19,6,421},{4,46,1},{0,44,425},{19,6,421},{0,44,425},{22,0,421},{22,0,421},{22,0,421},{22,0,421},{20,31,5},{20,31,5},{20,31,5},{20,26,5},{32,12,1},{32,12,1},{8,5,854},{8,27,458},{24,31,670},{38,47,462},{6,5,1517},{6,29,446},{6,47,6},{36,14,655},{0,29,1530},{32,30,465},{40,23,422},
{40,13,2},{10,31,48},{40,46,90},{45,2,1514},{20,13,425},{6,47,6},{0,30,434},{25,8,1514},{0,30,434},{8,25,434},{8,25,434},{8,25,434},{8,30,437},{6,11,340},{6,47,5},{6,47,5},{6,12,52},{16,47,342},{18,28,1},{40,13,1},{40,13,1},{40,13,1},{40,14,5},{30,4,338},{22,46,4},{22,46,4},{18,28,1},{15,8,338},{18,28,1},{11,0,421},{40,13,1},{26,47,5},
{6,47,2},{11,0,421},{5,8,421},{6,47,2},{0,30,425},{5,8,421},{0,30,425},{8,0,433},{8,0,433},{8,0,433},{8,0,433},{6,31,0},{6,31,0},{6,31,0},{6,42,0},{18,28,1},{18,28,1},{24,33,846},{24,41,465},{40,15,658},{24,31,454},{38,5,1518},{22,13,446},{38,15,14},{22,46,667},{0,27,1518},{18,46,453},{26,7,421},{26,27,2},{42,15,53},{10,31,86},{27,0,1514},
{6,43,425},{38,15,10},{16,46,434},{37,8,1514},{16,46,434},{24,23,426},{24,23,426},{24,23,426},{24,47,426},{38,25,344},{38,31,9},{38,31,9},{22,44,41},{18,31,341},{4,14,2},{26,27,1},{26,27,1},{26,27,1},{26,46,1},{45,0,338},{8,31,5},{8,31,5},{4,14,1},{27,8,338},{4,14,1},{8,1,421},{26,27,2},{12,15,1},{6,15,2},{8,1,421},{1,8,421},{6,15,2},
{0,46,433},{1,8,421},{0,46,433},{24,0,425},{24,0,425},{24,0,425},{24,0,425},{38,15,4},{38,15,4},{38,15,4},{38,12,8},{4,14,1},{4,14,1},{10,33,846},{10,25,454},{26,29,658},{10,45,454},{8,3,1517},{8,27,446},{8,45,8},{38,47,650},{32,11,1518},{4,47,462},{42,5,425},{42,11,9},{12,29,43},{42,15,89},{28,13,1514},{22,11,422},{8,45,8},{16,31,426},{27,12,1514},
{16,31,426},{10,23,425},{10,23,425},{10,23,425},{10,15,429},{8,9,340},{8,45,4},{8,45,4},{8,30,50},{34,45,341},{20,30,6},{42,11,5},{42,11,5},{42,11,5},{42,31,8},{29,2,338},{8,45,4},{8,45,4},{36,30,1},{35,6,338},{36,30,1},{23,0,421},{12,11,4},{44,45,5},{8,45,4},{23,0,421},{18,9,421},{8,45,4},{0,31,425},{18,9,421},{0,31,425},{10,0,425},
{10,0,425},{10,0,425},{10,0,425},{8,13,1},{8,13,1},{8,13,1},{8,44,0},{20,30,5},{20,30,5},{26,1,846},{26,39,470},{42,13,658},{26,29,454},{40,3,1523},{24,11,446},{24,13,20},{24,31,658},{2,25,1521},{20,15,458},{28,5,422},{28,25,6},{28,13,51},{12,29,86},{40,3,1514},{8,41,421},{24,13,11},{18,15,421},{16,9,1514},{18,15,421},{26,21,426},{26,21,426},{26,21,426},
{26,45,426},{24,7,347},{40,29,11},{40,29,11},{24,46,41},{20,29,342},{36,47,10},{28,41,1},{28,41,1},{28,41,1},{28,15,2},{43,2,338},{40,29,2},{40,29,2},{36,47,9},{21,8,338},{36,47,9},{37,0,421},{12,25,5},{14,13,1},{8,13,2},{37,0,421},{32,7,421},{8,13,2},{0,15,421},{32,7,421},{0,15,421},{26,0,425},{26,0,425},{26,0,425},{26,0,425},{24,27,9},
{24,27,9},{24,27,9},{40,14,10},{36,47,1},{36,47,1},{12,1,850},{12,23,454},{12,27,666},{12,43,454},{10,1,1517},{10,25,446},{10,43,8},{40,45,666},{34,9,1515},{6,45,462},{44,3,425},{44,9,9},{14,27,50},{44,13,89},{39,2,1514},{24,9,422},{10,43,8},{18,29,426},{34,9,1514},{18,29,426},{12,21,425},{12,21,425},{12,21,425},{12,13,429},{10,7,340},{10,43,4},{10,43,4},
{10,47,50},{36,43,341},{22,31,1},{44,9,5},{44,9,5},{44,9,5},{44,29,8},{38,1,338},{26,13,4},{26,13,4},{22,31,1},{43,28,338},{22,31,1},{5,0,421},{14,9,4},{46,43,5},{10,43,4},{5,0,421},{0,5,421},{10,43,4},{0,29,425},{0,5,421},{0,29,425},{12,0,425},{12,0,425},{12,0,425},{12,0,425},{10,27,0},{10,27,0},{10,27,0},{10,46,0},{22,31,1},
{22,31,1},{44,1,890},{44,7,462},{44,41,666},{28,27,454},{42,1,1518},{26,39,446},{42,11,8},{26,13,666},{4,23,1523},{22,13,454},{30,33,421},{30,23,1},{46,11,50},{30,27,89},{21,0,1514},{40,23,425},{42,11,4},{20,13,425},{18,7,1514},{20,13,425},{28,19,426},{28,19,426},{28,19,426},{28,27,429},{42,21,344},{42,11,8},{42,11,8},{26,15,50},{6,11,341},{8,45,9},{30,23,1},
{30,23,1},{30,23,1},{30,13,0},{39,0,338},{42,11,4},{42,11,4},{8,45,5},{9,28,338},{8,45,5},{14,1,421},{30,23,1},{47,11,0},{26,11,0},{14,1,421},{4,5,421},{26,11,0},{0,13,425},{4,5,421},{0,13,425},{28,0,425},{28,0,425},{28,0,425},{28,0,425},{42,11,4},{42,11,4},{42,11,4},{42,47,5},{8,15,4},{8,15,4},{30,1,950},{14,21,458},{30,25,658},
{14,41,446},{28,1,1542},{12,23,438},{12,25,20},{12,43,658},{36,7,1518},{38,27,470},{46,1,430},{46,37,10},{47,25,41},{46,41,82},{14,3,1514},{26,7,422},{28,41,11},{20,27,426},{32,5,1514},{20,27,426},{14,19,421},{14,19,421},{14,19,421},{14,11,422},{12,35,339},{12,25,11},{12,25,11},{12,29,51},{38,41,338},{24,29,6},{46,37,9},{46,37,9},{46,37,9},{46,27,10},{23,2,338},
{28,41,2},{28,41,2},{40,29,1},{20,9,338},{40,29,1},{17,0,421},{46,37,1},{31,25,10},{26,25,9},{17,0,421},{18,3,421},{26,25,9},{0,27,425},{18,3,421},{0,27,425},{14,0,421},{14,0,421},{14,0,421},{14,0,421},{12,9,2},{12,9,2},{12,9,2},{12,15,1},{24,13,5},{24,13,5},{46,1,1010},{46,5,462},{46,39,650},{30,25,454},{14,1,1575},{28,7,446},{44,9,8},
{28,27,658},{6,21,1523},{24,11,454},{31,1,422},{31,21,6},{31,9,50},{47,25,77},{46,3,1514},{42,21,425},{44,9,4},{22,11,425},{16,3,1514},{22,11,425},{30,17,426},{30,17,426},{30,17,426},{30,25,429},{44,19,344},{44,9,8},{44,9,8},{28,13,43},{8,9,340},{10,43,9},{31,37,1},{31,37,1},{31,37,1},{31,11,2},{37,2,338},{44,9,4},{44,9,4},{10,43,5},{34,7,338},
{10,43,5},{31,1,421},{31,21,5},{45,9,0},{12,9,1},{31,1,421},{32,1,421},{12,9,1},{0,11,425},{32,1,421},{0,11,425},{30,0,425},{30,0,425},{30,0,425},{30,0,425},{44,9,4},{44,9,4},{44,9,4},{44,45,5},{10,13,4},{10,13,4},{31,1,1098},{47,19,453},{47,23,667},{47,39,473},{46,1,1641},{14,21,438},{14,39,14},{14,41,658},{38,5,1518},{40,25,465},{45,1,437},
{15,5,2},{45,23,41},{15,39,86},{31,3,1514},{28,5,422},{30,39,9},{22,25,426},{34,3,1514},{22,25,426},{47,17,434},{47,17,434},{47,17,434},{47,9,437},{14,33,339},{14,39,10},{14,39,10},{14,43,53},{40,39,341},{26,27,2},{15,5,1},{15,5,1},{15,5,1},{15,25,5},{44,1,338},{30,9,5},{30,9,5},{26,27,1},{26,9,338},{26,27,1},{45,1,421},{15,5,1},{13,39,8},
{14,39,4},{45,1,421},{20,1,421},{14,39,4},{0,25,425},{20,1,421},{0,25,425},{47,0,433},{47,0,433},{47,0,433},{47,0,433},{14,7,2},{14,7,2},{14,7,2},{14,13,1},{26,27,2},{26,27,2},{45,1,1202},{31,33,465},{15,37,655},{31,7,461},{47,1,1725},{30,35,446},{46,7,6},{30,25,670},{24,19,1518},{26,9,458},{13,1,469},{29,19,1},{13,7,52},{29,23,85},{15,1,1514},
{14,35,426},{46,7,5},{24,9,434},{9,11,1514},{24,9,434},{31,1,434},{31,1,434},{31,1,434},{31,39,426},{46,17,339},{46,7,6},{46,7,6},{30,11,48},{10,7,341},{12,41,2},{29,19,1},{29,19,1},{29,19,1},{29,9,0},{31,5,338},{47,23,4},{47,23,4},{12,41,1},{14,9,338},{12,41,1},{43,1,421},{29,19,1},{43,7,0},{30,7,0},{43,1,421},{8,1,421},{30,7,0},
{0,9,433},{8,1,421},{0,9,433},{31,0,425},{31,0,425},{31,0,425},{31,0,425},{46,7,2},{46,7,2},{46,7,2},{46,27,5},{12,41,1},{12,41,1},{29,1,1346},{45,17,454},{29,21,653},{45,37,459},{45,1,1818},{47,19,446},{47,37,13},{46,39,679},{10,3,1518},{42,23,455},{27,1,526},{13,33,5},{43,21,38},{13,7,93},{27,5,1514},{30,3,425},{31,37,11},{40,23,421},{6,1,1514},
{40,23,421},{45,1,434},{45,1,434},{45,1,434},{45,7,429},{47,1,340},{47,37,4},{47,37,4},{47,25,50},{42,37,338},{44,25,5},{13,33,4},{13,33,4},{13,33,4},{13,23,5},{17,2,338},{31,37,2},{31,37,2},{44,25,1},{16,1,338},{44,25,1},{11,1,421},{13,33,1},{27,21,5},{30,21,5},{11,1,421},{26,1,421},{30,21,5},{0,23,421},{26,1,421},{0,23,421},{45,0,425},
{45,0,425},{45,0,425},{45,0,425},{47,5,1},{47,5,1},{47,5,1},{47,11,0},{44,25,4},{44,25,4},{43,1,1502},{13,1,478},{13,35,655},{29,5,461},{29,1,1926},{31,3,446},{15,5,19},{47,7,685},{26,17,1518},{28,7,454},{11,1,569},{27,17,6},{27,5,50},{43,21,97},{17,10,1514},{47,33,425},{15,5,10},{26,7,426},{24,1,1514},{26,7,426},{13,1,477},{13,1,477},{13,1,477},
{29,37,426},{15,1,355},{15,21,11},{15,21,11},{31,9,41},{12,5,341},{14,39,6},{27,33,1},{27,33,1},{27,33,1},{27,7,2},{29,3,338},{15,21,2},{15,21,2},{14,39,5},{43,9,338},{14,39,5},{25,1,421},{43,1,5},{41,5,0},{31,5,1},{25,1,421},{14,1,421},{31,5,1},{0,7,425},{14,1,421},{0,7,425},{29,0,425},{29,0,425},{29,0,425},{29,0,425},{31,19,9},
{31,19,9},{31,19,9},{31,25,10},{14,39,2},{14,39,2},{11,1,1634},{43,1,542},{43,19,659},{43,35,459},{43,1,2070},{45,17,446},{45,35,13},{15,37,655},{12,1,1518},{44,21,455},{25,1,646},{11,1,9},{41,19,43},{11,5,93},{25,3,1514},{31,1,422},{29,35,11},{42,21,421},{12,1,1514},{42,21,421},{43,1,506},{43,1,506},{43,1,506},{43,5,429},{29,1,381},{45,35,4},{45,35,4},
{45,23,50},{44,35,338},{46,23,5},{11,1,5},{11,1,5},{11,1,5},{11,21,5},{39,11,338},{29,35,2},{29,35,2},{46,23,1},{22,1,338},{46,23,1},{39,1,421},{11,1,5},{25,19,10},{31,19,9},{39,1,421},{31,1,421},{31,19,9},{0,21,421},{31,1,421},{0,21,421},{43,0,425},{43,0,425},{43,0,425},{43,0,425},{45,19,0},{45,19,0},{45,19,0},{45,9,0},{46,23,4},
{46,23,4},{25,1,1874},{11,1,666},{11,33,657},{27,3,451},{11,1,2201},{13,1,454},{13,3,9},{29,5,674},{14,1,1557},{30,5,458},{39,1,722},{9,1,62},{9,33,50},{25,19,85},{9,1,1514},{29,1,446},{13,3,5},{44,5,433},{46,1,1514},{44,5,433},{11,1,545},{11,1,545},{11,1,545},{27,19,429},{43,1,437},{13,3,8},{13,3,8},{29,7,48},{30,19,341},{47,37,6},{25,1,9},
{25,1,9},{25,1,9},{25,5,0},{25,5,338},{13,3,4},{13,3,4},{47,37,2},{10,1,338},{47,37,2},{37,1,421},{9,1,37},{39,3,2},{29,3,1},{37,1,421},{43,1,421},{29,3,1},{0,5,433},{43,1,421},{0,5,433},{27,0,425},{27,0,425},{27,0,425},{27,0,425},{13,3,4},{13,3,4},{13,3,4},{13,39,5},{46,21,5},{46,21,5},{9,1,2030},{25,1,882},{25,17,653},
{41,33,453},{9,1,2382},{27,1,546},{43,17,15},{13,35,661},{47,1,1653},{46,19,462},{7,1,837},{39,1,162},{39,17,38},{9,33,89},{19,9,1514},{27,1,521},{43,17,14},{44,19,421},{45,1,1514},{44,19,421},{25,1,626},{25,1,626},{25,1,626},{41,3,422},{11,1,488},{43,17,11},{43,17,11},{43,21,54},{46,33,340},{31,21,9},{39,1,18},{39,1,18},{39,1,18},{9,19,10},{9,3,338},
{27,33,2},{27,33,2},{15,21,4},{31,3,338},{15,21,4},{5,1,421},{7,1,80},{7,17,8},{13,17,5},{5,1,421},{9,1,421},{13,17,5},{0,19,421},{9,1,421},{0,19,421},{41,0,421},{41,0,421},{41,0,421},{41,0,421},{43,1,1},{43,1,1},{43,1,1},{43,7,1},{31,5,5},{31,5,5},{23,1,2201},{39,1,1083},{9,1,670},{25,1,450},{39,1,2443},{11,1,684},{11,1,8},
{27,3,634},{29,1,1751},{31,3,429},{21,1,890},{7,1,277},{7,1,52},{23,17,74},{21,17,1459},{25,1,603},{11,1,4},{30,3,401},{17,21,1459},{30,3,401},{9,1,670},{9,1,670},{9,1,670},{25,17,429},{25,1,579},{11,1,8},{11,1,8},{27,5,50},{47,1,340},{15,35,6},{7,1,52},{7,1,52},{7,1,52},{23,3,0},{23,3,338},{11,1,4},{11,1,4},{15,35,2},{43,3,338},
{15,35,2},{19,1,392},{5,1,149},{37,1,1},{27,1,0},{19,1,392},{37,1,392},{27,1,0},{0,3,400},{37,1,392},{0,3,400},{25,0,425},{25,0,425},{25,0,425},{25,0,425},{11,1,4},{11,1,4},{11,1,4},{11,37,5},{15,35,5},{15,35,5},{7,1,1901},{23,1,1050},{23,1,761},{39,1,426},{7,1,2093},{9,1,551},{25,1,35},{11,33,382},{13,1,1407},{45,33,219},{5,1,638},
{21,1,233},{21,1,89},{7,1,29},{17,39,1064},{23,1,398},{9,1,10},{31,33,202},{39,17,1064},{31,33,202},{23,1,761},{23,1,761},{23,1,761},{39,1,426},{9,1,638},{25,1,35},{25,1,35},{41,19,51},{45,1,355},{29,19,6},{21,1,89},{21,1,89},{21,1,89},{7,17,5},{3,25,338},{9,1,10},{9,1,10},{13,19,1},{29,1,338},{13,19,1},{3,1,200},{35,1,68},{5,1,1},
{9,1,1},{3,1,200},{5,1,200},{9,1,1},{0,33,202},{5,1,200},{0,33,202},{39,0,425},{39,0,425},{39,0,425},{39,0,425},{25,1,26},{25,1,26},{25,1,26},{41,5,1},{29,3,5},{29,3,5},{21,1,1606},{37,1,1085},{7,1,886},{7,1,461},{21,1,1749},{23,1,470},{39,1,117},{25,33,186},{11,1,1166},{13,17,66},{19,1,461},{35,1,213},{5,1,125},{21,1,2},{3,3,722},
{7,1,266},{23,1,37},{29,17,61},{3,3,722},{29,17,61},{7,1,886},{7,1,886},{7,1,886},{7,1,461},{23,1,770},{39,1,117},{39,1,117},{9,3,51},{43,1,426},{43,33,1},{5,1,125},{5,1,125},{5,1,125},{21,1,2},{19,5,338},{23,1,37},{23,1,37},{43,33,0},{37,3,338},{43,33,0},{1,3,61},{33,1,25},{3,1,1},{5,1,1},{1,3,61},{3,1,61},{5,1,1},
{0,17,61},{3,1,61},{0,17,61},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{9,1,37},{9,1,37},{9,1,37},{9,19,5},{43,33,1},{43,33,1},{5,1,1450},{5,1,1109},{21,1,965},{37,1,542},{5,1,1505},{7,1,478},{7,1,253},{39,17,79},{9,1,1054},{27,1,10},{3,1,318},{19,1,221},{19,1,185},{35,1,29},{33,33,509},{35,1,210},{21,1,97},{27,1,10},{33,33,509},
{27,1,10},{21,1,965},{21,1,965},{21,1,965},{37,1,542},{21,1,900},{7,1,253},{7,1,253},{39,17,54},{41,1,549},{11,17,9},{19,1,185},{19,1,185},{19,1,185},{35,1,29},{3,3,338},{21,1,97},{21,1,97},{11,17,5},{3,3,338},{11,17,5},{1,17,5},{17,1,1},{17,1,0},{33,1,0},{1,17,5},{17,1,5},{33,1,0},{0,1,9},{17,1,5},{0,1,9},{37,0,421},
{37,0,421},{37,0,421},{37,0,421},{23,1,65},{23,1,65},{23,1,65},{39,3,2},{27,1,1},{27,1,1},{35,1,1213},{35,1,953},{5,1,886},{5,1,545},{35,1,1186},{21,1,448},{21,1,304},{23,1,32},{23,1,790},{25,1,13},{33,1,198},{3,1,150},{3,1,125},{19,1,36},{33,1,294},{19,1,121},{35,1,73},{9,1,0},{1,33,294},{9,1,0},{5,1,886},{5,1,886},{5,1,886},
{5,1,545},{5,1,765},{21,1,304},{21,1,304},{23,1,32},{39,1,486},{25,1,13},{3,1,125},{3,1,125},{3,1,125},{19,1,36},{3,1,221},{35,1,73},{35,1,73},{9,1,0},{5,1,221},{9,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{37,1,113},
{37,1,113},{37,1,113},{7,17,8},{25,1,13},{25,1,13},{3,1,885},{19,1,737},{19,1,701},{35,1,485},{19,1,834},{5,1,364},{5,1,264},{37,1,2},{7,1,554},{39,1,45},{17,1,82},{33,1,62},{33,1,53},{33,1,13},{1,3,114},{33,1,54},{3,1,34},{21,1,1},{3,1,114},{21,1,1},{19,1,701},{19,1,701},{19,1,701},{35,1,485},{35,1,574},{5,1,264},{5,1,264},
{37,1,2},{7,1,329},{39,1,45},{33,1,53},{33,1,53},{33,1,53},{33,1,13},{33,1,85},{3,1,34},{3,1,34},{21,1,1},{19,1,85},{21,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{35,0,421},{35,0,421},{35,0,421},{35,0,421},{21,1,160},{21,1,160},{21,1,160},{37,1,2},{39,1,45},
{39,1,45},{0,30,882},{0,10,100},{0,38,2},{0,6,340},{0,10,1896},{0,22,1189},{0,6,565},{0,4,1421},{0,20,2043},{0,4,1521},{0,30,882},{0,10,100},{0,38,2},{0,6,340},{4,2,1896},{0,22,1189},{0,6,565},{0,4,1421},{10,0,1896},{0,4,1421},{0,22,1},{0,22,1},{0,22,1},{0,34,0},{0,4,164},{0,18,52},{0,18,52},{0,32,98},{0,32,179},{0,32,107},{0,22,1},
{0,22,1},{0,22,1},{0,34,0},{32,16,162},{0,18,52},{0,18,52},{0,32,98},{16,32,162},{0,32,98},{38,0,882},{0,10,100},{0,38,2},{0,6,340},{38,0,882},{30,0,882},{0,6,340},{0,20,884},{30,0,882},{0,20,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,15,884},{0,12,34},{0,24,13},
{0,38,250},{0,12,2355},{0,8,1355},{0,22,585},{0,20,1669},{0,36,2567},{0,20,1813},{0,15,884},{0,12,34},{0,24,13},{0,38,250},{0,12,2355},{0,8,1355},{0,22,585},{0,20,1669},{12,0,2355},{0,20,1669},{0,10,0},{0,10,0},{0,10,0},{0,20,1},{0,20,340},{0,4,125},{0,4,125},{0,2,200},{0,18,376},{0,2,225},{0,10,0},{0,10,0},{0,10,0},{0,20,1},{16,4,338},
{0,4,125},{0,4,125},{0,2,200},{4,16,338},{0,2,200},{24,0,882},{0,12,34},{16,24,4},{0,38,250},{24,0,882},{32,8,882},{0,38,250},{0,6,884},{32,8,882},{0,6,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,27,882},{0,14,9},{0,40,81},{0,8,202},{0,14,2899},{0,24,1539},{0,8,643},
{0,6,2004},{0,6,3189},{0,36,2207},{0,27,882},{0,14,9},{16,40,61},{0,8,202},{6,2,2899},{0,24,1539},{0,8,643},{0,6,2004},{14,0,2899},{0,6,2004},{0,28,1},{0,28,1},{0,28,1},{0,6,4},{0,22,578},{0,36,221},{0,36,221},{0,18,365},{0,18,632},{0,18,401},{0,28,1},{0,28,1},{0,28,1},{0,6,4},{32,4,578},{0,36,221},{0,36,221},{0,18,365},{22,0,578},
{0,18,365},{38,6,882},{0,14,9},{2,40,1},{0,8,202},{38,6,882},{27,0,882},{0,8,202},{0,22,884},{27,0,882},{0,22,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{16,25,910},{16,46,31},{16,26,151},{0,40,181},{0,31,3048},{0,26,1416},{0,40,506},{0,22,1944},{0,38,3484},{0,6,2233},{16,25,885},
{16,46,6},{32,26,78},{16,40,165},{36,6,3048},{0,26,1416},{0,40,506},{0,22,1944},{31,0,3048},{0,22,1944},{16,30,26},{16,30,26},{16,30,26},{16,38,27},{0,24,650},{0,22,157},{0,22,157},{0,4,325},{0,4,766},{0,4,425},{16,30,1},{16,30,1},{16,30,1},{16,38,2},{18,4,648},{0,22,157},{0,22,157},{0,4,325},{36,2,648},{0,4,325},{26,2,882},{0,46,5},{18,26,4},
{0,40,145},{26,2,882},{38,8,882},{0,40,145},{0,8,890},{38,8,882},{0,8,890},{16,0,26},{16,0,26},{16,0,26},{16,0,26},{0,18,0},{0,18,0},{0,18,0},{0,32,1},{0,16,10},{0,16,10},{16,7,1009},{16,31,134},{32,12,297},{16,26,238},{0,43,3048},{0,28,1224},{0,26,267},{0,8,1764},{0,24,3685},{0,38,2157},{2,9,885},{2,47,5},{18,12,77},{32,26,165},{6,8,3048},
{0,28,1224},{0,26,267},{0,8,1764},{43,0,3048},{0,8,1764},{16,45,125},{16,45,125},{16,45,125},{16,40,126},{0,28,648},{0,24,80},{0,24,80},{0,36,260},{0,6,875},{0,20,413},{2,46,1},{2,46,1},{2,46,1},{2,24,2},{2,24,648},{0,24,80},{0,24,80},{0,36,260},{28,0,648},{0,36,260},{44,0,882},{2,47,4},{4,42,1},{0,26,98},{44,0,882},{26,8,882},{0,26,98},
{0,24,890},{26,8,882},{0,24,890},{16,0,125},{16,0,125},{16,0,125},{16,0,125},{0,6,0},{0,6,0},{0,6,0},{0,18,1},{0,18,37},{0,18,37},{32,5,1147},{32,45,282},{2,44,523},{32,12,381},{0,9,3051},{0,14,1110},{0,12,116},{0,24,1658},{0,26,3859},{0,8,2173},{18,23,886},{18,15,6},{34,28,69},{18,42,166},{40,4,3048},{0,14,1110},{0,12,116},{0,24,1658},{22,8,3048},
{0,24,1658},{32,13,265},{32,13,265},{32,13,265},{32,10,266},{0,46,650},{0,26,26},{0,26,26},{0,22,194},{0,22,987},{0,6,427},{18,15,5},{18,15,5},{18,15,5},{18,40,5},{22,2,648},{0,26,26},{0,26,26},{0,22,194},{42,2,648},{0,22,194},{30,0,882},{18,15,2},{20,28,4},{0,12,52},{30,0,882},{33,0,882},{0,12,52},{0,10,884},{33,0,882},{0,10,884},{32,0,265},
{32,0,265},{32,0,265},{32,0,265},{0,24,0},{0,24,0},{0,24,0},{0,4,4},{0,34,89},{0,34,89},{2,3,1365},{2,13,510},{18,14,813},{2,28,566},{0,37,3048},{0,46,1013},{0,44,42},{0,10,1509},{0,12,4057},{0,10,2185},{4,7,885},{4,45,10},{20,44,86},{34,28,173},{28,0,3048},{0,46,1013},{0,44,42},{0,10,1509},{37,0,3048},{0,10,1509},{2,11,482},{2,11,482},{2,11,482},
{2,42,481},{0,29,650},{0,12,4},{0,12,4},{0,38,128},{0,8,1161},{0,22,483},{4,15,2},{4,15,2},{4,15,2},{4,26,2},{8,2,648},{0,12,4},{0,12,4},{0,38,128},{30,2,648},{0,38,128},{47,0,882},{34,45,2},{6,44,1},{0,44,26},{47,0,882},{27,6,882},{0,44,26},{0,26,890},{27,6,882},{0,26,890},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,12,0},
{0,12,0},{0,12,0},{0,6,1},{0,20,180},{0,20,180},{18,17,1647},{18,27,810},{34,46,1178},{2,14,837},{0,19,3048},{0,15,933},{0,14,21},{0,26,1443},{0,28,4329},{0,26,2227},{20,21,885},{20,29,5},{36,30,69},{20,44,182},{42,6,3048},{0,15,933},{0,14,21},{0,26,1443},{19,0,3048},{0,26,1443},{18,25,765},{18,25,765},{18,25,765},{18,28,766},{0,11,648},{0,14,5},{0,14,5},
{0,24,89},{0,10,1342},{0,8,557},{20,29,1},{20,29,1},{20,29,1},{20,42,2},{24,4,648},{16,44,2},{16,44,2},{0,24,89},{11,0,648},{0,24,89},{34,3,882},{4,13,4},{22,30,4},{0,14,17},{34,3,882},{35,4,882},{0,14,17},{0,12,884},{35,4,882},{0,12,884},{18,0,765},{18,0,765},{18,0,765},{18,0,765},{0,30,0},{0,30,0},{0,30,0},{0,38,0},{0,6,274},
{0,6,274},{34,1,1782},{34,41,940},{4,31,1356},{34,46,950},{16,1,3052},{16,29,910},{16,46,22},{0,12,1335},{0,46,4231},{0,12,1924},{6,5,882},{6,43,5},{22,47,86},{36,30,174},{32,3,3048},{0,13,900},{32,46,13},{0,12,1299},{39,4,3048},{0,12,1299},{34,23,882},{34,23,882},{34,23,882},{34,14,883},{16,9,651},{16,46,18},{16,46,18},{16,10,74},{0,42,1256},{0,40,434},{6,13,0},
{6,13,0},{6,13,0},{6,28,1},{38,10,648},{2,30,2},{2,30,2},{0,10,45},{23,0,648},{0,10,45},{4,1,882},{36,27,4},{8,46,4},{0,46,5},{4,1,882},{1,4,882},{0,46,5},{0,28,890},{1,4,882},{0,28,890},{34,0,882},{34,0,882},{34,0,882},{34,0,882},{16,31,1},{16,31,1},{16,31,1},{16,24,1},{0,8,250},{0,8,250},{20,1,1814},{20,25,945},{36,15,1363},
{4,47,945},{2,1,3052},{32,43,916},{2,47,23},{16,44,1337},{0,31,3975},{0,28,1612},{22,19,886},{22,11,6},{38,31,77},{22,46,185},{2,1,3048},{0,27,883},{2,47,19},{0,44,1188},{1,2,3048},{0,44,1188},{20,7,901},{20,7,901},{20,7,901},{20,30,900},{2,9,654},{2,47,14},{2,47,14},{32,26,70},{0,28,1059},{0,26,236},{22,27,4},{22,27,4},{22,27,4},{22,14,8},{28,2,648},
{18,46,5},{18,46,5},{0,42,36},{42,8,648},{0,42,36},{27,0,882},{22,11,2},{24,31,4},{0,31,5},{27,0,882},{37,8,882},{0,31,5},{0,14,882},{37,8,882},{0,14,882},{4,0,900},{4,0,900},{4,0,900},{4,0,900},{2,15,5},{2,15,5},{2,15,5},{2,40,4},{0,40,146},{0,40,146},{6,1,1864},{36,39,947},{6,29,1356},{36,31,943},{34,1,3073},{18,27,910},{18,15,21},
{2,14,1335},{0,45,3751},{0,14,1379},{8,3,885},{8,41,5},{24,15,85},{38,31,182},{29,0,3048},{32,11,884},{34,15,16},{0,30,1146},{37,6,3048},{0,30,1146},{36,21,882},{36,21,882},{36,21,882},{36,47,886},{18,7,649},{18,15,21},{18,15,21},{18,12,74},{0,14,945},{0,12,91},{8,11,2},{8,11,2},{8,11,2},{8,30,2},{16,3,648},{34,31,1},{34,31,1},{0,12,10},{17,0,648},
{0,12,10},{28,13,882},{38,25,4},{10,15,1},{2,15,1},{28,13,882},{27,12,882},{2,15,1},{0,30,890},{27,12,882},{0,30,890},{36,0,882},{36,0,882},{36,0,882},{36,0,882},{18,29,1},{18,29,1},{18,29,1},{18,26,1},{0,42,68},{0,42,68},{22,1,1944},{22,23,945},{38,13,1363},{6,45,945},{20,1,3115},{34,41,916},{4,45,18},{18,46,1337},{0,13,3580},{0,46,1153},{24,17,886},
{24,9,6},{40,29,69},{24,15,168},{46,10,3048},{2,25,885},{4,45,14},{0,46,1053},{23,8,3048},{0,46,1053},{22,5,901},{22,5,901},{22,5,901},{6,31,901},{4,7,654},{4,45,9},{4,45,9},{34,28,70},{0,47,825},{0,44,25},{24,25,4},{24,25,4},{24,25,4},{24,46,8},{30,4,648},{20,15,0},{20,15,0},{0,44,0},{15,8,648},{0,44,0},{40,3,882},{24,9,2},{26,29,4},
{2,29,5},{40,3,882},{16,9,882},{2,29,5},{0,47,890},{16,9,882},{0,47,890},{6,0,900},{6,0,900},{6,0,900},{6,0,900},{4,13,5},{4,13,5},{4,13,5},{4,42,4},{0,28,18},{0,28,18},{8,1,2056},{38,21,956},{8,43,1348},{38,29,949},{6,1,3156},{20,25,910},{20,13,22},{4,47,1318},{0,11,3384},{0,31,1015},{10,1,882},{10,39,5},{26,13,75},{40,29,174},{27,2,3048},
{34,9,885},{36,13,10},{0,31,990},{39,10,3048},{0,31,990},{38,3,885},{38,3,885},{38,3,885},{38,45,885},{20,5,649},{20,13,21},{20,13,21},{20,14,66},{0,15,729},{0,30,5},{10,9,0},{10,9,0},{10,9,0},{10,31,1},{45,0,648},{6,29,2},{6,29,2},{16,30,4},{27,8,648},{16,30,4},{10,1,882},{40,23,1},{12,13,1},{4,13,1},{10,1,882},{4,9,882},{4,13,1},
{0,31,890},{4,9,882},{0,31,890},{38,0,884},{38,0,884},{38,0,884},{38,0,884},{20,27,1},{20,27,1},{20,27,1},{20,28,1},{0,30,1},{0,30,1},{40,1,2134},{24,21,943},{40,11,1348},{8,43,952},{38,1,3240},{36,39,914},{6,27,22},{36,15,1330},{0,25,3244},{0,15,951},{42,1,891},{26,7,10},{42,27,77},{26,13,171},{8,1,3048},{4,23,886},{6,27,21},{0,15,950},{1,8,3048},
{0,15,950},{24,3,890},{24,3,890},{24,3,890},{24,29,890},{6,35,649},{6,43,10},{6,43,10},{36,30,77},{0,13,675},{32,46,6},{26,7,10},{26,7,10},{26,7,10},{26,15,10},{29,2,648},{22,13,2},{22,13,2},{2,46,2},{35,6,648},{2,46,2},{21,0,882},{26,7,1},{28,27,4},{4,27,5},{21,0,882},{18,7,882},{4,27,5},{0,45,884},{18,7,882},{0,45,884},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{6,11,1},{6,11,1},{6,11,1},{6,44,2},{16,47,2},{16,47,2},{26,1,2252},{40,35,940},{10,41,1348},{40,27,954},{24,1,3321},{22,23,910},{22,11,22},{6,45,1318},{0,39,3156},{0,29,940},{28,1,920},{12,37,5},{28,41,77},{12,27,180},{23,0,3048},{36,7,884},{38,11,10},{0,29,915},{18,9,3048},{0,29,915},{40,17,882},{40,17,882},{40,17,882},
{40,43,883},{22,3,649},{38,27,20},{38,27,20},{22,47,86},{0,27,656},{2,31,9},{12,7,0},{12,7,0},{12,7,0},{12,29,1},{43,2,648},{38,27,4},{38,27,4},{34,47,4},{21,8,648},{34,47,4},{14,3,882},{42,21,1},{14,11,1},{6,11,1},{14,3,882},{32,5,882},{6,11,1},{0,29,890},{32,5,882},{0,29,890},{40,0,882},{40,0,882},{40,0,882},{40,0,882},{22,25,1},
{22,25,1},{22,25,1},{22,30,2},{2,31,0},{2,31,0},{42,1,2404},{26,19,935},{42,9,1348},{10,41,952},{40,1,3409},{38,37,914},{8,41,30},{38,29,1354},{0,37,3087},{2,13,951},{14,1,954},{28,5,6},{44,25,77},{28,11,185},{9,6,3048},{6,21,886},{24,41,21},{0,43,900},{32,7,3048},{0,43,900},{26,1,891},{26,1,891},{26,1,891},{26,27,891},{8,3,654},{8,41,14},{8,41,14},
{38,31,77},{16,41,651},{34,15,3},{28,5,5},{28,5,5},{28,5,5},{28,13,5},{38,1,648},{24,11,2},{24,11,2},{4,15,2},{43,28,648},{4,15,2},{46,3,882},{28,5,2},{30,25,4},{6,25,5},{46,3,882},{16,3,882},{6,25,5},{0,43,884},{16,3,882},{0,43,884},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{8,9,5},{8,9,5},{8,9,5},{8,46,4},{34,15,2},
{34,15,2},{28,1,2612},{12,3,951},{28,39,1354},{42,9,952},{26,1,3544},{24,21,910},{40,9,30},{8,43,1348},{0,35,3060},{18,27,935},{30,1,1005},{14,35,3},{30,39,77},{44,25,185},{41,12,3048},{38,35,890},{40,9,14},{0,27,891},{16,5,3048},{0,27,891},{42,1,900},{42,1,900},{42,1,900},{42,41,885},{24,1,654},{40,25,21},{40,25,21},{24,45,77},{2,9,651},{4,29,6},{14,5,2},
{14,5,2},{14,5,2},{14,27,2},{39,0,648},{10,25,2},{10,25,2},{4,29,5},{9,28,648},{4,29,5},{1,0,882},{44,19,2},{47,9,4},{8,9,5},{1,0,882},{0,1,882},{8,9,5},{0,27,890},{0,1,882},{0,27,890},{42,0,884},{42,0,884},{42,0,884},{42,0,884},{24,7,5},{24,7,5},{24,7,5},{24,31,4},{4,29,2},{4,29,2},{14,1,2774},{28,1,940},{44,7,1318},
{12,39,966},{12,1,3700},{40,35,916},{10,23,22},{40,11,1348},{16,19,3051},{34,41,940},{47,1,1061},{30,3,9},{46,23,86},{30,9,190},{14,1,3048},{8,19,886},{26,39,20},{16,41,882},{4,5,3048},{16,41,882},{28,1,915},{28,1,915},{28,1,915},{28,25,890},{10,1,657},{10,39,10},{10,39,10},{40,29,77},{18,39,654},{36,13,5},{46,35,4},{46,35,4},{46,35,4},{46,11,4},{23,2,648},
{42,9,4},{42,9,4},{6,13,0},{20,9,648},{6,13,0},{15,1,882},{30,3,0},{31,23,2},{24,23,1},{15,1,882},{9,11,882},{24,23,1},{0,41,882},{9,11,882},{0,41,882},{28,0,890},{28,0,890},{28,0,890},{28,0,890},{10,7,1},{10,7,1},{10,7,1},{10,15,1},{20,43,1},{20,43,1},{46,1,3014},{14,1,951},{14,37,1330},{44,23,958},{14,1,3865},{26,19,913},{26,7,22},
{10,41,1348},{32,33,3049},{20,25,943},{15,1,1154},{47,33,6},{31,37,77},{46,23,185},{17,0,3048},{40,3,885},{42,7,10},{2,25,890},{18,3,3048},{2,25,890},{14,1,950},{14,1,950},{14,1,950},{44,39,885},{42,1,672},{26,7,21},{26,7,21},{26,43,77},{34,7,652},{6,27,10},{47,3,2},{47,3,2},{47,3,2},{47,25,2},{37,2,648},{12,23,2},{12,23,2},{6,27,10},{34,7,648},
{6,27,10},{27,5,882},{46,17,2},{45,7,2},{10,7,1},{27,5,882},{6,1,882},{10,7,1},{0,25,890},{6,1,882},{0,25,890},{44,0,884},{44,0,884},{44,0,884},{44,0,884},{26,5,5},{26,5,5},{26,5,5},{26,29,4},{6,27,1},{6,27,1},{47,1,3214},{30,1,1015},{46,5,1318},{14,37,966},{30,1,4009},{42,33,916},{12,21,22},{42,9,1348},{18,17,3051},{20,39,956},{29,1,1240},
{31,1,5},{15,21,66},{31,7,185},{27,9,3048},{10,17,886},{12,21,21},{2,39,885},{14,7,3048},{2,39,885},{30,1,990},{30,1,990},{30,1,990},{30,23,890},{28,1,715},{12,37,10},{12,37,10},{12,27,75},{20,37,651},{38,11,5},{31,17,4},{31,17,4},{31,17,4},{31,9,8},{44,1,648},{28,7,2},{28,7,2},{8,11,0},{26,9,648},{8,11,0},{17,10,882},{31,1,1},{29,21,1},
{26,21,1},{17,10,882},{24,1,882},{26,21,1},{0,39,884},{24,1,882},{0,39,884},{30,0,890},{30,0,890},{30,0,890},{30,0,890},{12,5,1},{12,5,1},{12,5,1},{12,13,1},{22,41,1},{22,41,1},{15,1,3526},{47,1,1153},{47,19,1337},{46,5,958},{47,1,4231},{28,17,910},{44,5,18},{12,39,1363},{20,1,3067},{22,23,945},{43,1,1380},{45,1,25},{29,35,70},{45,21,185},{13,3,3048},
{12,1,888},{44,5,9},{18,7,901},{44,5,3048},{18,7,901},{47,1,1053},{47,1,1053},{47,1,1053},{46,37,890},{14,1,762},{44,5,14},{44,5,14},{28,41,69},{6,5,650},{8,25,6},{45,1,0},{45,1,0},{45,1,0},{45,23,0},{31,5,648},{14,21,0},{14,21,0},{24,25,4},{14,9,648},{24,25,4},{41,1,882},{29,1,18},{43,5,4},{12,5,5},{41,1,882},{47,3,882},{12,5,5},
{0,7,900},{47,3,882},{0,7,900},{46,0,890},{46,0,890},{46,0,890},{46,0,890},{28,3,5},{28,3,5},{28,3,5},{28,27,4},{8,25,2},{8,25,2},{29,1,3764},{15,1,1379},{15,3,1335},{47,35,950},{15,1,4477},{14,1,925},{14,19,21},{28,7,1356},{22,1,3145},{38,37,947},{11,1,1485},{13,1,91},{13,19,74},{29,35,178},{43,1,3048},{14,1,925},{14,19,21},{20,37,882},{8,1,3048},
{20,37,882},{31,1,1146},{31,1,1146},{31,1,1146},{31,21,890},{46,1,841},{14,35,16},{14,35,16},{14,25,85},{38,35,649},{40,9,5},{13,1,10},{13,1,10},{13,1,10},{13,7,9},{17,2,648},{30,35,1},{30,35,1},{10,9,2},{16,1,648},{10,9,2},{9,1,882},{43,1,68},{27,19,1},{28,19,1},{9,1,882},{46,1,882},{28,19,1},{0,37,882},{46,1,882},{0,37,882},{31,0,890},
{31,0,890},{31,0,890},{31,0,890},{14,3,1},{14,3,1},{14,3,1},{14,11,1},{40,9,4},{40,9,4},{13,1,4076},{29,1,1612},{45,17,1337},{15,3,950},{29,1,4684},{46,1,1035},{46,3,23},{14,37,1363},{24,1,3256},{24,21,945},{41,1,1650},{27,1,236},{27,33,70},{13,19,174},{11,1,3048},{47,1,1013},{46,3,14},{20,5,901},{5,9,3048},{20,5,901},{45,1,1188},{45,1,1188},{45,1,1188},
{15,35,883},{47,1,910},{46,3,19},{46,3,19},{30,39,77},{8,3,651},{10,23,6},{43,1,36},{43,1,36},{43,1,36},{43,21,1},{29,3,648},{47,19,5},{47,19,5},{26,23,4},{43,9,648},{26,23,4},{19,9,882},{41,1,146},{41,3,4},{14,3,5},{19,9,882},{45,1,882},{14,3,5},{0,5,900},{45,1,882},{0,5,900},{15,0,882},{15,0,882},{15,0,882},{15,0,882},{30,1,5},
{30,1,5},{30,1,5},{30,25,4},{10,23,2},{10,23,2},{11,1,4374},{13,1,1924},{13,1,1335},{45,33,961},{13,1,4972},{47,1,1225},{47,17,22},{30,5,1356},{26,1,3460},{40,35,940},{9,1,1755},{41,1,434},{11,17,74},{27,3,185},{23,5,3048},{15,1,1146},{47,17,18},{22,35,882},{14,1,3048},{22,35,882},{13,1,1299},{13,1,1299},{13,1,1299},{29,19,890},{15,1,1017},{47,33,13},{47,33,13},
{46,23,86},{40,33,652},{42,7,5},{11,1,45},{11,1,45},{11,1,45},{27,5,5},{39,11,648},{31,3,2},{31,3,2},{12,7,0},{22,1,648},{12,7,0},{21,17,882},{9,1,250},{25,17,1},{30,17,1},{21,17,882},{17,21,882},{30,17,1},{0,35,882},{17,21,882},{0,35,882},{29,0,890},{29,0,890},{29,0,890},{29,0,890},{47,1,5},{47,1,5},{47,1,5},{47,9,4},{26,37,4},
{26,37,4},{41,1,4427},{27,1,2227},{27,1,1443},{13,17,925},{11,1,4878},{45,1,1331},{15,1,21},{47,35,1178},{44,1,3438},{26,19,810},{23,1,1746},{9,1,557},{25,1,89},{11,17,142},{23,17,2814},{13,1,1125},{15,1,5},{24,19,765},{45,17,2814},{24,19,765},{27,1,1443},{27,1,1443},{27,1,1443},{13,33,884},{29,1,1132},{15,1,21},{15,1,21},{31,37,69},{10,1,648},{28,21,5},{25,1,89},
{25,1,89},{25,1,89},{41,19,1},{25,5,648},{45,17,2},{45,17,2},{28,21,1},{10,1,648},{28,21,1},{19,3,761},{7,1,274},{39,1,0},{31,1,0},{19,3,761},{39,1,761},{31,1,0},{0,19,765},{39,1,761},{0,19,765},{13,0,884},{13,0,884},{13,0,884},{13,0,884},{15,1,17},{15,1,17},{15,1,17},{31,23,4},{12,5,4},{12,5,4},{9,1,3933},{11,1,2185},{11,1,1509},
{27,1,899},{41,1,4346},{13,1,1109},{45,1,42},{15,19,813},{30,1,2958},{12,3,510},{7,1,1386},{23,1,483},{39,1,128},{25,17,59},{3,25,2249},{11,1,870},{13,1,4},{10,3,482},{29,1,2249},{10,3,482},{11,1,1509},{11,1,1509},{11,1,1509},{27,17,890},{43,1,1275},{45,1,42},{45,1,42},{45,21,86},{12,1,675},{44,5,10},{39,1,128},{39,1,128},{39,1,128},{9,3,5},{9,3,648},
{13,1,4},{13,1,4},{14,5,2},{31,3,648},{14,5,2},{3,3,481},{21,1,180},{7,1,1},{13,1,0},{3,3,481},{7,1,481},{13,1,0},{0,3,481},{7,1,481},{0,3,481},{27,0,890},{27,0,890},{27,0,890},{27,0,890},{45,1,26},{45,1,26},{45,1,26},{45,7,1},{44,35,2},{44,35,2},{39,1,3541},{9,1,2173},{25,1,1658},{11,1,893},{9,1,3801},{27,1,1035},{13,1,116},
{45,3,523},{47,1,2574},{44,33,282},{21,1,1070},{7,1,427},{23,1,194},{39,1,16},{21,17,1769},{25,1,673},{27,1,26},{12,33,265},{17,21,1769},{12,33,265},{25,1,1658},{25,1,1658},{25,1,1658},{11,1,893},{11,1,1386},{13,1,116},{13,1,116},{29,35,69},{14,1,734},{14,19,6},{23,1,194},{23,1,194},{23,1,194},{39,17,1},{23,3,648},{27,1,26},{27,1,26},{14,19,5},{43,3,648},
{14,19,5},{33,3,265},{35,1,89},{5,1,4},{25,1,0},{33,3,265},{21,1,265},{25,1,0},{0,33,265},{21,1,265},{0,33,265},{11,0,884},{11,0,884},{11,0,884},{11,0,884},{13,1,52},{13,1,52},{13,1,52},{29,21,4},{14,19,2},{14,19,2},{23,1,3267},{39,1,2157},{9,1,1764},{25,1,954},{39,1,3397},{11,1,950},{27,1,267},{13,33,297},{29,1,2313},{30,17,134},{5,1,838},
{21,1,413},{37,1,260},{7,1,9},{17,39,1374},{23,1,518},{25,1,80},{44,17,125},{39,17,1374},{44,17,125},{9,1,1764},{9,1,1764},{9,1,1764},{25,1,954},{25,1,1569},{27,1,267},{27,1,267},{13,19,77},{47,1,846},{46,3,5},{37,1,260},{37,1,260},{37,1,260},{7,1,9},{3,25,648},{25,1,80},{25,1,80},{47,3,1},{29,1,648},{47,3,1},{33,1,113},{19,1,37},{19,1,1},
{7,1,0},{33,1,113},{35,1,113},{7,1,0},{0,17,125},{35,1,113},{0,17,125},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{27,1,98},{27,1,98},{27,1,98},{43,5,1},{46,3,4},{46,3,4},{7,1,3032},{7,1,2233},{23,1,1944},{39,1,1083},{7,1,3096},{9,1,1028},{41,1,506},{27,17,151},{13,1,2068},{47,17,31},{35,1,693},{5,1,425},{5,1,325},{21,1,52},{3,3,1032},
{7,1,406},{23,1,157},{31,17,26},{3,3,1032},{31,17,26},{23,1,1944},{23,1,1944},{23,1,1944},{39,1,1083},{39,1,1723},{41,1,506},{41,1,506},{27,33,78},{45,1,1034},{47,17,6},{5,1,325},{5,1,325},{5,1,325},{21,1,52},{19,5,648},{23,1,157},{23,1,157},{31,17,1},{37,3,648},{31,17,1},{17,1,18},{17,1,10},{33,1,1},{19,1,0},{17,1,18},{33,1,18},{19,1,0},
{0,17,26},{33,1,18},{0,17,26},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{41,1,145},{41,1,145},{41,1,145},{27,19,4},{47,1,5},{47,1,5},{21,1,2710},{37,1,2207},{7,1,2004},{23,1,1173},{21,1,2775},{39,1,1036},{9,1,643},{41,1,81},{11,1,1900},{15,1,9},{3,1,524},{19,1,401},{19,1,365},{5,1,104},{33,33,771},{5,1,369},{37,1,221},{29,1,1},{33,33,771},
{29,1,1},{7,1,2004},{7,1,2004},{7,1,2004},{23,1,1173},{23,1,1784},{9,1,643},{9,1,643},{41,17,61},{13,1,1091},{15,1,9},{19,1,365},{19,1,365},{19,1,365},{5,1,104},{33,5,578},{37,1,221},{37,1,221},{29,1,1},{23,1,578},{29,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{23,0,884},
{23,0,884},{23,0,884},{23,0,884},{9,1,202},{9,1,202},{9,1,202},{41,3,1},{15,1,9},{15,1,9},{5,1,2214},{21,1,1813},{21,1,1669},{7,1,1109},{21,1,2151},{23,1,874},{23,1,585},{25,1,13},{25,1,1508},{13,1,34},{3,1,300},{3,1,225},{3,1,200},{19,1,61},{33,17,451},{35,1,192},{5,1,125},{11,1,0},{17,33,451},{11,1,0},{21,1,1669},{21,1,1669},{21,1,1669},
{7,1,1109},{7,1,1460},{23,1,585},{23,1,585},{25,1,13},{11,1,872},{13,1,34},{3,1,200},{3,1,200},{3,1,200},{19,1,61},{17,5,338},{5,1,125},{5,1,125},{11,1,0},{5,17,338},{11,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{7,0,884},{7,0,884},{7,0,884},{7,0,884},{39,1,250},
{39,1,250},{39,1,250},{25,17,4},{13,1,34},{13,1,34},{35,1,1818},{5,1,1521},{5,1,1421},{21,1,1028},{5,1,1675},{7,1,790},{7,1,565},{39,1,2},{23,1,1155},{11,1,100},{33,1,147},{33,1,107},{33,1,98},{3,1,29},{1,19,216},{19,1,88},{19,1,52},{23,1,1},{19,1,216},{23,1,1},{5,1,1421},{5,1,1421},{5,1,1421},{21,1,1028},{21,1,1158},{7,1,565},{7,1,565},
{39,1,2},{25,1,723},{11,1,100},{33,1,98},{33,1,98},{33,1,98},{3,1,29},{33,17,162},{19,1,52},{19,1,52},{23,1,1},{17,33,162},{23,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{21,0,884},{21,0,884},{21,0,884},{21,0,884},{7,1,340},{7,1,340},{7,1,340},{39,1,2},{11,1,100},
{11,1,100},{0,13,1568},{0,14,185},{0,10,5},{0,8,586},{0,44,3371},{0,24,2147},{0,8,1027},{0,36,2571},{0,6,3617},{0,20,2729},{0,13,1568},{0,14,185},{0,10,5},{0,8,586},{18,8,3371},{0,24,2147},{0,8,1027},{0,36,2571},{44,0,3371},{0,36,2571},{0,24,1},{0,24,1},{0,24,1},{0,20,1},{0,20,288},{0,34,100},{0,34,100},{0,2,164},{0,2,321},{0,2,189},{0,24,1},
{0,24,1},{0,24,1},{0,20,1},{32,2,288},{0,34,100},{0,34,100},{0,2,164},{20,0,288},{0,2,164},{24,2,1568},{0,14,185},{0,10,5},{0,8,586},{24,2,1568},{13,0,1568},{0,8,586},{0,22,1576},{13,0,1568},{0,22,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,1568},{0,46,89},{0,26,20},
{0,40,505},{0,46,3968},{0,10,2316},{0,24,1078},{0,6,2880},{0,22,4305},{0,6,3105},{0,25,1568},{0,46,89},{0,26,20},{0,40,505},{18,10,3968},{0,10,2316},{0,24,1078},{0,6,2880},{46,0,3968},{0,6,2880},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{0,6,514},{0,20,193},{0,20,193},{0,18,317},{0,18,556},{0,18,353},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{2,2,512},
{0,20,193},{0,20,193},{0,18,317},{2,2,512},{0,18,317},{16,11,1568},{0,46,89},{16,26,5},{0,40,505},{16,11,1568},{25,0,1568},{0,40,505},{0,38,1570},{25,0,1568},{0,38,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,7,1568},{0,15,37},{16,12,76},{0,10,421},{0,15,4652},{0,42,2540},{0,10,1097},
{0,38,3251},{0,8,5108},{0,22,3545},{0,7,1568},{0,15,37},{16,12,51},{0,10,421},{38,2,4651},{0,42,2540},{0,10,1097},{0,38,3251},{16,8,4651},{0,38,3251},{0,46,0},{0,46,0},{0,46,0},{0,38,1},{0,8,802},{0,6,289},{0,6,289},{0,34,493},{0,34,872},{0,34,557},{0,46,0},{0,46,0},{0,46,0},{0,38,1},{4,0,802},{0,6,289},{0,6,289},{0,34,493},{8,0,802},
{0,34,493},{26,4,1568},{0,15,37},{32,12,2},{0,10,421},{26,4,1568},{7,0,1568},{0,10,421},{0,24,1576},{7,0,1568},{0,24,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,19,1570},{0,29,8},{16,44,166},{0,12,338},{0,29,5420},{0,28,2755},{0,26,1208},{0,8,3659},{0,24,5988},{0,38,4028},{0,19,1570},
{0,29,8},{16,44,141},{0,12,338},{40,0,5419},{0,28,2755},{0,26,1208},{0,8,3659},{46,2,5419},{0,8,3659},{0,45,0},{0,45,0},{0,45,0},{0,24,1},{0,24,1154},{0,22,433},{0,22,433},{0,4,697},{0,4,1270},{0,4,797},{0,45,0},{0,45,0},{0,45,0},{0,24,1},{18,4,1152},{0,22,433},{0,22,433},{0,4,697},{36,2,1152},{0,4,697},{14,0,1568},{0,29,8},{18,28,1},
{0,12,338},{14,0,1568},{8,10,1568},{0,12,338},{0,40,1568},{8,10,1568},{0,40,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{16,17,1609},{16,43,45},{32,30,282},{0,28,325},{0,25,5419},{0,14,2514},{0,12,804},{0,24,3462},{0,10,6191},{0,8,3965},{32,3,1574},{32,13,17},{2,14,130},{16,28,312},{16,11,5419},
{0,14,2514},{0,12,804},{0,24,3462},{25,0,5419},{0,24,3462},{16,43,41},{16,43,41},{16,43,41},{16,10,42},{0,28,1152},{0,40,292},{0,40,292},{0,36,596},{0,6,1379},{0,20,761},{32,29,4},{32,29,4},{32,29,4},{32,10,5},{2,24,1152},{0,40,292},{0,40,292},{0,36,596},{28,0,1152},{0,36,596},{30,2,1568},{0,27,4},{4,14,1},{0,28,244},{30,2,1568},{35,2,1568},{0,28,244},
{0,26,1570},{35,2,1568},{0,26,1570},{16,0,41},{16,0,41},{16,0,41},{16,0,41},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,32,13},{0,32,13},{32,1,1733},{32,11,159},{32,46,455},{16,14,377},{0,7,5419},{0,47,2294},{0,44,542},{0,10,3225},{0,12,6401},{0,10,3901},{2,17,1569},{2,27,6},{18,46,125},{32,14,296},{26,4,5419},{0,47,2294},{0,44,542},{0,10,3225},{7,0,5419},
{0,10,3225},{32,11,158},{32,11,158},{32,11,158},{32,42,157},{0,46,1154},{0,26,170},{0,26,170},{0,22,482},{0,22,1491},{0,6,739},{2,27,2},{2,27,2},{2,27,2},{2,26,5},{22,2,1152},{0,26,170},{0,26,170},{0,22,482},{42,2,1152},{0,22,482},{47,2,1568},{32,11,2},{20,30,5},{0,14,185},{47,2,1568},{17,2,1568},{0,14,185},{0,42,1570},{17,2,1568},{0,42,1570},{32,0,157},
{32,0,157},{32,0,157},{32,0,157},{0,22,0},{0,22,0},{0,22,0},{0,34,1},{0,18,45},{0,18,45},{2,1,2003},{32,9,330},{2,31,710},{32,30,517},{0,35,5420},{0,15,2081},{0,30,345},{0,42,3099},{0,28,6641},{0,10,3885},{34,1,1574},{34,11,17},{4,47,134},{18,30,312},{14,0,5419},{0,15,2081},{0,30,345},{0,42,3099},{8,10,5419},{0,42,3099},{32,23,317},{32,23,317},{32,23,317},
{32,28,317},{0,29,1154},{0,28,80},{0,28,80},{0,8,388},{0,8,1665},{0,38,753},{34,27,4},{34,27,4},{34,27,4},{34,12,5},{8,2,1152},{0,28,80},{0,28,80},{0,8,388},{30,2,1152},{0,8,388},{15,2,1568},{18,41,4},{36,47,5},{0,46,125},{15,2,1568},{33,4,1568},{0,46,125},{0,28,1576},{33,4,1568},{0,28,1576},{32,0,317},{32,0,317},{32,0,317},{32,0,317},{0,40,0},
{0,40,0},{0,40,0},{0,20,0},{0,34,113},{0,34,113},{18,1,2395},{2,23,570},{18,45,1046},{2,47,725},{0,1,5419},{0,13,1947},{0,47,185},{0,12,2880},{0,14,6964},{0,12,3841},{20,1,1593},{4,25,6},{20,15,131},{34,46,326},{0,1,5419},{0,13,1947},{0,47,185},{0,12,2880},{1,0,5419},{0,12,2880},{2,21,546},{2,21,546},{2,21,546},{2,14,545},{0,11,1152},{0,30,37},{0,30,37},
{0,24,317},{0,10,1846},{0,8,797},{4,25,2},{4,25,2},{4,25,2},{4,28,2},{24,4,1152},{0,30,37},{0,30,37},{0,24,317},{11,0,1152},{0,24,317},{43,0,1568},{34,9,1},{22,31,1},{0,47,85},{43,0,1568},{19,6,1568},{0,47,85},{0,44,1570},{19,6,1568},{0,44,1570},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,28,0},{0,28,0},{0,28,0},{0,6,1},{0,20,208},
{0,20,208},{4,1,3030},{18,37,927},{34,29,1474},{18,15,1042},{16,1,5540},{0,27,1787},{0,15,57},{0,44,2668},{0,46,7299},{0,28,3836},{6,1,1612},{36,39,10},{6,29,136},{20,31,312},{47,2,5419},{0,27,1787},{0,15,57},{0,44,2668},{17,2,5419},{0,44,2668},{18,19,883},{18,19,883},{18,19,883},{18,46,882},{0,23,1152},{0,31,5},{0,31,5},{0,10,225},{0,26,2064},{0,10,901},{36,9,2},
{36,9,2},{36,9,2},{36,14,1},{38,10,1152},{0,31,5},{0,31,5},{0,10,225},{23,0,1152},{0,10,225},{38,3,1568},{20,39,4},{8,45,5},{0,15,41},{38,3,1568},{35,8,1568},{0,15,41},{0,30,1570},{35,8,1568},{0,30,1570},{18,0,882},{18,0,882},{18,0,882},{18,0,882},{0,47,1},{0,47,1},{0,47,1},{0,8,1},{0,6,325},{0,6,325},{20,1,3734},{34,5,1332},{4,43,1958},
{18,45,1395},{2,1,5808},{0,25,1676},{0,29,20},{0,30,2566},{0,15,7631},{0,44,3925},{22,1,1656},{6,7,9},{22,13,132},{6,45,309},{15,2,5419},{0,25,1676},{0,29,20},{0,30,2566},{33,4,5419},{0,30,2566},{34,33,1258},{34,33,1258},{34,33,1258},{34,47,1259},{0,5,1154},{0,45,5},{0,45,5},{0,42,180},{0,12,2275},{0,10,981},{6,23,4},{6,23,4},{6,23,4},{6,46,5},{28,2,1152},
{16,15,1},{16,15,1},{0,42,180},{42,8,1152},{0,42,180},{41,2,1568},{36,7,2},{24,29,5},{0,29,20},{41,2,1568},{17,8,1568},{0,29,20},{0,46,1576},{17,8,1568},{0,46,1576},{34,0,1258},{34,0,1258},{34,0,1258},{34,0,1258},{0,29,0},{0,29,0},{0,29,0},{0,40,1},{0,38,482},{0,38,482},{36,1,4356},{4,19,1676},{20,27,2370},{34,13,1683},{18,1,6121},{0,39,1616},{16,43,36},
{0,46,2397},{0,45,7815},{0,46,3837},{8,1,1715},{38,37,10},{8,43,131},{22,29,312},{43,0,5419},{0,39,1612},{16,43,27},{0,46,2393},{19,6,5419},{0,46,2393},{4,1,1577},{4,1,1577},{4,1,1577},{4,15,1576},{0,17,1156},{16,13,22},{16,13,22},{0,12,134},{0,44,2441},{0,12,971},{38,23,1},{38,23,1},{38,23,1},{38,47,2},{16,3,1152},{32,29,1},{32,29,1},{0,12,130},{17,0,1152},
{0,12,130},{29,12,1568},{22,37,4},{10,43,5},{0,43,10},{29,12,1568},{26,13,1568},{0,43,10},{0,31,1576},{26,13,1568},{0,31,1576},{4,0,1576},{4,0,1576},{4,0,1576},{4,0,1576},{0,41,4},{0,41,4},{0,41,4},{0,26,4},{0,24,562},{0,24,562},{22,1,4616},{20,3,1677},{6,41,2378},{20,43,1681},{4,1,6311},{16,7,1620},{32,27,20},{0,31,2365},{0,43,7444},{0,47,3383},{40,1,1766},
{8,5,11},{24,11,132},{8,13,314},{11,0,5419},{0,37,1577},{32,27,19},{0,31,2265},{5,8,5419},{0,31,2265},{20,1,1593},{20,1,1593},{20,1,1593},{20,29,1569},{32,1,1155},{32,27,19},{32,27,19},{16,44,125},{0,46,2150},{0,28,659},{8,21,2},{8,21,2},{8,21,2},{8,31,2},{30,4,1152},{18,13,1},{18,13,1},{0,44,72},{15,8,1152},{0,44,72},{37,0,1568},{38,5,2},{26,27,2},
{0,27,2},{37,0,1568},{36,9,1568},{0,27,2},{0,15,1568},{36,9,1568},{0,15,1568},{20,0,1568},{20,0,1568},{20,0,1568},{20,0,1568},{32,41,1},{32,41,1},{32,41,1},{32,42,2},{0,26,388},{0,26,388},{8,1,4936},{6,17,1676},{22,9,2363},{36,11,1689},{36,1,6476},{2,37,1620},{18,41,24},{32,15,2370},{0,41,7036},{0,15,2859},{26,1,1851},{40,35,11},{10,25,136},{24,27,321},{41,2,5419},
{16,5,1571},{18,41,20},{0,15,2130},{17,8,5419},{0,15,2130},{6,1,1619},{6,1,1619},{6,1,1619},{6,13,1571},{18,1,1158},{18,11,21},{18,11,21},{2,30,125},{0,31,1905},{0,14,425},{40,5,2},{40,5,2},{40,5,2},{40,45,2},{45,0,1152},{4,27,5},{4,27,5},{0,30,41},{27,8,1152},{0,30,41},{21,2,1568},{24,19,2},{12,41,1},{16,41,1},{21,2,1568},{24,9,1568},{16,41,1},
{0,29,1570},{24,9,1568},{0,29,1570},{6,0,1570},{6,0,1570},{6,0,1570},{6,0,1570},{18,25,4},{18,25,4},{18,25,4},{18,28,5},{0,28,232},{0,28,232},{24,1,5154},{38,1,1680},{8,39,2378},{22,41,1683},{22,1,6708},{18,5,1628},{34,25,24},{2,29,2363},{0,9,6740},{0,45,2553},{12,1,1964},{10,3,8},{26,9,139},{40,41,309},{29,12,5419},{2,35,1572},{4,25,21},{0,29,2027},{26,13,5419},
{0,29,2027},{38,1,1664},{38,1,1664},{38,1,1664},{22,27,1570},{4,1,1185},{34,25,20},{34,25,20},{34,46,130},{0,45,1721},{0,46,218},{10,19,4},{10,19,4},{10,19,4},{10,13,8},{29,2,1152},{20,11,5},{20,11,5},{0,47,25},{35,6,1152},{0,47,25},{35,2,1568},{10,3,4},{28,25,5},{18,25,4},{35,2,1568},{34,5,1568},{18,25,4},{0,13,1570},{34,5,1568},{0,13,1570},{22,0,1570},
{22,0,1570},{22,0,1570},{22,0,1570},{34,23,1},{34,23,1},{34,23,1},{34,14,4},{0,14,149},{0,14,149},{26,1,5444},{8,1,1724},{24,23,2378},{38,9,1689},{8,1,6964},{4,35,1620},{20,39,36},{34,13,2370},{0,23,6513},{0,13,2244},{44,1,2099},{42,33,11},{12,23,136},{26,25,321},{37,0,5419},{18,3,1571},{20,39,27},{0,43,1924},{36,9,5419},{0,43,1924},{8,1,1720},{8,1,1720},{8,1,1720},
{8,11,1577},{36,1,1224},{20,9,19},{20,9,19},{4,47,122},{0,43,1548},{0,31,90},{42,19,1},{42,19,1},{42,19,1},{42,43,2},{43,2,1152},{6,25,5},{6,25,5},{0,31,9},{21,8,1152},{0,31,9},{46,1,1568},{26,17,2},{14,39,2},{18,39,1},{46,1,1568},{26,7,1568},{18,39,1},{0,27,1576},{26,7,1568},{0,27,1576},{8,0,1576},{8,0,1576},{8,0,1576},{8,0,1576},{20,23,9},
{20,23,9},{20,23,9},{4,30,10},{0,47,73},{0,47,73},{42,1,5700},{40,1,1798},{40,37,2375},{24,39,1683},{40,1,7153},{20,3,1626},{36,23,24},{4,27,2386},{0,21,6243},{0,27,1980},{30,1,2210},{12,1,8},{28,7,132},{42,39,323},{5,0,5419},{4,33,1572},{6,23,21},{0,27,1836},{0,5,5419},{0,27,1836},{40,1,1762},{40,1,1762},{40,1,1762},{24,25,1570},{6,1,1275},{36,23,20},{36,23,20},
{36,15,125},{0,41,1395},{0,45,25},{12,17,4},{12,17,4},{12,17,4},{12,11,8},{38,1,1152},{22,9,4},{22,9,4},{0,45,0},{43,28,1152},{0,45,0},{31,1,1568},{42,1,2},{30,23,5},{4,23,5},{31,1,1568},{32,1,1568},{4,23,5},{0,11,1570},{32,1,1568},{0,11,1570},{24,0,1570},{24,0,1570},{24,0,1570},{24,0,1570},{36,21,1},{36,21,1},{36,21,1},{36,46,4},{0,15,25},
{0,15,25},{28,1,6116},{26,1,1980},{26,5,2386},{40,7,1689},{26,1,7408},{6,17,1620},{22,37,24},{36,41,2375},{0,35,6044},{0,41,1798},{47,1,2385},{44,1,25},{14,37,125},{28,23,315},{35,2,5419},{20,1,1569},{22,37,20},{0,41,1762},{34,5,5419},{0,41,1762},{26,1,1836},{26,1,1836},{26,1,1836},{10,9,1574},{38,1,1363},{22,7,21},{22,7,21},{6,29,132},{0,9,1284},{0,13,8},{44,1,0},
{44,1,0},{44,1,0},{44,41,0},{39,0,1152},{8,23,4},{8,23,4},{16,13,4},{9,28,1152},{16,13,4},{17,6,1568},{14,1,25},{47,37,4},{20,37,1},{17,6,1568},{20,1,1568},{20,37,1},{0,25,1570},{20,1,1568},{0,25,1570},{10,0,1570},{10,0,1570},{10,0,1570},{10,0,1570},{22,5,5},{22,5,5},{22,5,5},{22,31,5},{0,43,2},{0,43,2},{14,1,6434},{12,1,2244},{12,35,2370},
{26,21,1685},{12,1,7724},{38,1,1620},{38,21,36},{22,25,2378},{0,3,5839},{0,9,1724},{31,1,2546},{30,1,90},{46,5,122},{14,7,322},{46,1,5419},{22,1,1602},{8,21,19},{0,9,1720},{26,7,5419},{0,9,1720},{42,1,1924},{42,1,1924},{42,1,1924},{26,23,1577},{24,1,1414},{38,21,27},{38,21,27},{22,13,136},{0,7,1218},{32,43,11},{30,1,9},{30,1,9},{30,1,9},{14,9,10},{23,2,1152},
{24,7,5},{24,7,5},{18,43,1},{20,9,1152},{18,43,1},{27,3,1568},{46,1,73},{31,5,10},{36,5,9},{27,3,1568},{39,9,1568},{36,5,9},{0,9,1576},{39,9,1568},{0,9,1576},{26,0,1576},{26,0,1576},{26,0,1576},{26,0,1576},{38,19,1},{38,19,1},{38,19,1},{38,15,2},{16,27,2},{16,27,2},{30,1,6786},{44,1,2553},{28,3,2363},{42,5,1689},{28,1,8052},{24,1,1671},{24,35,24},
{38,9,2378},{0,1,5715},{0,39,1680},{45,1,2675},{47,1,218},{47,35,130},{30,21,315},{31,1,5419},{24,1,1667},{24,35,20},{0,39,1664},{32,1,5419},{0,39,1664},{28,1,2027},{28,1,2027},{28,1,2027},{12,7,1571},{10,1,1521},{24,5,21},{24,5,21},{8,27,139},{0,21,1169},{2,11,8},{46,1,25},{46,1,25},{46,1,25},{46,39,1},{37,2,1152},{10,21,5},{10,21,5},{18,11,4},{34,7,1152},
{18,11,4},{39,7,1568},{15,1,149},{15,35,4},{22,35,1},{39,7,1568},{26,1,1568},{22,35,1},{0,23,1570},{26,1,1568},{0,23,1570},{12,0,1570},{12,0,1570},{12,0,1570},{12,0,1570},{24,19,4},{24,19,4},{24,19,4},{24,29,5},{2,11,4},{2,11,4},{47,1,7186},{14,1,2859},{14,33,2370},{28,35,1683},{30,1,8313},{40,1,1819},{40,19,24},{8,23,2363},{16,1,5820},{16,7,1676},{13,1,2892},
{15,1,425},{31,3,125},{47,35,321},{45,1,5419},{26,1,1796},{10,19,21},{0,7,1619},{27,9,5419},{0,7,1619},{14,1,2130},{14,1,2130},{14,1,2130},{28,21,1570},{42,1,1608},{40,19,20},{40,19,20},{24,11,136},{0,19,1155},{34,41,11},{31,1,41},{31,1,41},{31,1,41},{47,7,5},{44,1,1152},{26,5,5},{26,5,5},{4,41,2},{26,9,1152},{4,41,2},{25,1,1568},{29,1,232},{29,19,5},
{24,19,4},{25,1,1568},{33,9,1568},{24,19,4},{0,7,1570},{33,9,1568},{0,7,1570},{28,0,1570},{28,0,1570},{28,0,1570},{28,0,1570},{40,17,1},{40,17,1},{40,17,1},{40,13,1},{18,25,2},{18,25,2},{15,1,7706},{46,1,3383},{30,1,2365},{14,3,1685},{47,1,8695},{42,1,2092},{26,33,20},{40,7,2378},{4,1,6099},{2,21,1677},{27,1,3152},{29,1,659},{45,17,125},{31,19,315},{27,3,5419},
{44,1,1993},{26,33,19},{0,21,1593},{39,9,5419},{0,21,1593},{30,1,2265},{30,1,2265},{30,1,2265},{14,5,1572},{28,1,1764},{26,33,19},{26,33,19},{10,25,132},{32,3,1155},{4,9,11},{45,1,72},{45,1,72},{45,1,72},{15,37,1},{31,5,1152},{12,19,1},{12,19,1},{20,9,2},{14,9,1152},{20,9,2},{23,17,1568},{27,1,388},{43,33,2},{40,33,1},{23,17,1568},{45,17,1568},{40,33,1},
{0,21,1568},{45,17,1568},{0,21,1568},{14,0,1568},{14,0,1568},{14,0,1568},{14,0,1568},{26,1,2},{26,1,2},{26,1,2},{26,27,2},{4,39,2},{4,39,2},{45,1,8016},{47,1,3837},{47,1,2397},{30,17,1685},{31,1,9093},{28,1,2484},{42,17,36},{26,21,2370},{36,1,6379},{18,5,1676},{11,1,3345},{13,1,971},{13,1,134},{15,33,326},{39,7,5419},{30,1,2185},{12,17,22},{0,5,1577},{26,1,5419},
{0,5,1577},{47,1,2393},{47,1,2393},{47,1,2393},{30,19,1576},{14,1,1890},{42,17,27},{42,17,27},{42,9,131},{2,17,1152},{36,39,10},{13,1,130},{13,1,130},{13,1,130},{45,5,5},{17,2,1152},{28,33,1},{28,33,1},{22,39,1},{16,1,1152},{22,39,1},{21,3,1568},{25,1,562},{27,1,4},{40,1,4},{21,3,1568},{43,1,1568},{40,1,4},{0,5,1576},{43,1,1568},{0,5,1576},{30,0,1576},
{30,0,1576},{30,0,1576},{30,0,1576},{42,1,10},{42,1,10},{42,1,10},{42,11,5},{36,23,4},{36,23,4},{13,1,7700},{45,1,3925},{31,1,2566},{47,17,1637},{45,1,8460},{14,1,2285},{28,1,20},{42,5,1958},{38,1,5932},{4,35,1332},{9,1,2987},{11,1,981},{43,1,180},{29,17,219},{9,3,4803},{47,1,1925},{44,1,5},{32,35,1258},{31,3,4803},{32,35,1258},{31,1,2566},{31,1,2566},{31,1,2566},
{47,3,1577},{30,1,2054},{28,1,20},{28,1,20},{12,23,132},{34,1,1155},{6,7,9},{43,1,180},{43,1,180},{43,1,180},{13,35,1},{29,3,1152},{14,17,1},{14,17,1},{22,7,4},{43,9,1152},{22,7,4},{21,1,1250},{39,1,482},{41,1,1},{28,1,0},{21,1,1250},{41,1,1250},{28,1,0},{0,35,1258},{41,1,1250},{0,35,1258},{47,0,1576},{47,0,1576},{47,0,1576},{47,0,1576},{28,1,20},
{28,1,20},{28,1,20},{28,25,5},{6,37,2},{6,37,2},{43,1,7164},{29,1,3836},{45,1,2668},{31,1,1579},{13,1,7780},{30,1,2041},{14,1,57},{28,35,1474},{24,1,5308},{36,19,927},{9,1,2475},{11,1,901},{11,1,225},{43,17,110},{37,7,4056},{15,1,1590},{30,1,5},{18,19,883},{30,1,4056},{18,19,883},{45,1,2668},{45,1,2668},{45,1,2668},{31,17,1570},{47,1,2214},{14,1,57},{14,1,57},
{28,7,136},{36,1,1186},{38,37,10},{11,1,225},{11,1,225},{11,1,225},{43,3,5},{39,11,1152},{30,1,5},{30,1,5},{8,37,2},{22,1,1152},{8,37,2},{5,1,882},{7,1,325},{9,1,1},{46,1,1},{5,1,882},{9,1,882},{46,1,1},{0,19,882},{9,1,882},{0,19,882},{31,0,1570},{31,0,1570},{31,0,1570},{31,0,1570},{14,1,41},{14,1,41},{14,1,41},{44,9,5},{38,21,4},
{38,21,4},{11,1,6493},{13,1,3841},{13,1,2880},{45,1,1574},{43,1,7071},{47,1,1822},{46,1,185},{44,19,1046},{26,1,4761},{22,3,570},{23,1,2034},{9,1,797},{25,1,317},{11,17,34},{23,17,3318},{13,1,1221},{31,1,37},{20,3,546},{45,17,3318},{20,3,546},{13,1,2880},{13,1,2880},{13,1,2880},{45,1,1574},{45,1,2443},{46,1,185},{46,1,185},{14,21,131},{38,1,1275},{24,5,6},{25,1,317},
{25,1,317},{25,1,317},{11,33,1},{25,5,1152},{31,1,37},{31,1,37},{24,5,2},{10,1,1152},{24,5,2},{3,3,545},{21,1,208},{7,1,1},{29,1,0},{3,3,545},{23,1,545},{29,1,0},{0,3,545},{23,1,545},{0,3,545},{45,0,1570},{45,0,1570},{45,0,1570},{45,0,1570},{46,1,85},{46,1,85},{46,1,85},{30,23,1},{8,35,1},{8,35,1},{41,1,6095},{11,1,3885},{43,1,3099},
{13,1,1636},{11,1,6422},{45,1,1767},{31,1,345},{30,3,710},{44,1,4358},{8,33,330},{7,1,1698},{39,1,753},{9,1,388},{41,1,9},{3,25,2753},{27,1,1018},{29,1,80},{22,33,317},{29,1,2753},{22,33,317},{43,1,3099},{43,1,3099},{43,1,3099},{13,1,1636},{29,1,2628},{31,1,345},{31,1,345},{46,5,134},{40,1,1395},{10,35,17},{9,1,388},{9,1,388},{9,1,388},{41,1,9},{9,3,1152},
{29,1,80},{29,1,80},{26,35,4},{31,3,1152},{26,35,4},{33,3,313},{35,1,113},{21,1,0},{41,1,0},{33,3,313},{21,1,313},{41,1,0},{0,33,317},{21,1,313},{0,33,317},{29,0,1576},{29,0,1576},{29,0,1576},{29,0,1576},{47,1,125},{47,1,125},{47,1,125},{46,37,5},{40,19,4},{40,19,4},{9,1,5661},{11,1,3901},{11,1,3225},{43,1,1739},{41,1,5978},{29,1,1685},{45,1,542},
{47,33,455},{14,1,3994},{10,33,159},{21,1,1418},{7,1,739},{23,1,482},{9,1,16},{21,17,2273},{11,1,878},{27,1,170},{10,33,158},{17,21,2273},{10,33,158},{11,1,3225},{11,1,3225},{11,1,3225},{43,1,1739},{43,1,2875},{45,1,542},{45,1,542},{47,19,125},{42,1,1584},{26,3,6},{23,1,482},{23,1,482},{23,1,482},{9,1,16},{23,3,1152},{27,1,170},{27,1,170},{26,3,2},{43,3,1152},
{26,3,2},{17,3,145},{19,1,45},{35,1,1},{23,1,0},{17,3,145},{35,1,145},{23,1,0},{0,33,157},{35,1,145},{0,33,157},{43,0,1570},{43,0,1570},{43,0,1570},{43,0,1570},{15,1,185},{15,1,185},{15,1,185},{31,21,5},{10,33,2},{10,33,2},{39,1,5341},{9,1,3965},{25,1,3462},{11,1,1889},{9,1,5505},{13,1,1765},{13,1,804},{31,33,282},{47,1,3750},{42,17,45},{5,1,1210},
{21,1,761},{37,1,596},{23,1,73},{17,39,1878},{9,1,781},{41,1,292},{42,17,41},{39,17,1878},{42,17,41},{25,1,3462},{25,1,3462},{25,1,3462},{11,1,1889},{11,1,3058},{13,1,804},{13,1,804},{15,3,130},{44,1,1798},{12,33,17},{37,1,596},{37,1,596},{37,1,596},{23,1,73},{3,25,1152},{41,1,292},{41,1,292},{28,33,4},{29,1,1152},{28,33,4},{1,3,41},{33,1,13},{3,1,1},
{5,1,1},{1,3,41},{3,1,41},{5,1,1},{0,17,41},{3,1,41},{0,17,41},{27,0,1570},{27,0,1570},{27,0,1570},{27,0,1570},{29,1,244},{29,1,244},{29,1,244},{15,5,1},{26,1,4},{26,1,4},{23,1,5128},{39,1,4028},{9,1,3659},{25,1,2169},{39,1,5148},{11,1,1917},{27,1,1208},{45,17,166},{29,1,3628},{28,1,8},{35,1,1089},{5,1,797},{5,1,697},{37,1,221},{3,3,1536},
{7,1,706},{23,1,433},{44,1,0},{3,3,1536},{44,1,0},{9,1,3659},{9,1,3659},{9,1,3659},{25,1,2169},{25,1,3366},{27,1,1208},{27,1,1208},{45,17,141},{47,1,2105},{28,1,8},{5,1,697},{5,1,697},{5,1,697},{37,1,221},{19,5,1152},{23,1,433},{23,1,433},{44,1,0},{37,3,1152},{44,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},
{0,1,0},{1,1,0},{0,1,0},{41,0,1568},{41,0,1568},{41,0,1568},{41,0,1568},{13,1,338},{13,1,338},{13,1,338},{29,19,1},{28,1,8},{28,1,8},{7,1,4416},{23,1,3545},{39,1,3251},{9,1,2027},{23,1,4372},{41,1,1771},{11,1,1097},{13,17,76},{29,1,2956},{14,1,37},{19,1,753},{35,1,557},{35,1,493},{21,1,148},{17,5,1067},{21,1,513},{7,1,289},{47,1,0},{5,17,1067},
{47,1,0},{39,1,3251},{39,1,3251},{39,1,3251},{9,1,2027},{9,1,2819},{11,1,1097},{11,1,1097},{13,17,51},{47,1,1769},{14,1,37},{35,1,493},{35,1,493},{35,1,493},{21,1,148},{5,1,802},{7,1,289},{7,1,289},{47,1,0},{9,1,802},{47,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{25,0,1576},
{25,0,1576},{25,0,1576},{25,0,1576},{11,1,421},{11,1,421},{11,1,421},{13,33,2},{14,1,37},{14,1,37},{21,1,3786},{7,1,3105},{7,1,2880},{23,1,1929},{7,1,3648},{9,1,1532},{25,1,1078},{27,1,20},{13,1,2452},{47,1,89},{3,1,456},{19,1,353},{19,1,317},{35,1,89},{33,33,683},{5,1,321},{21,1,193},{13,1,1},{33,33,683},{13,1,1},{7,1,2880},{7,1,2880},{7,1,2880},
{23,1,1929},{39,1,2411},{25,1,1078},{25,1,1078},{27,1,20},{29,1,1451},{47,1,89},{19,1,317},{19,1,317},{19,1,317},{35,1,89},{3,3,512},{21,1,193},{21,1,193},{13,1,1},{3,3,512},{13,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{39,0,1570},{39,0,1570},{39,0,1570},{39,0,1570},{41,1,505},
{41,1,505},{41,1,505},{27,17,5},{47,1,89},{47,1,89},{21,1,3210},{21,1,2729},{37,1,2571},{7,1,1825},{21,1,3015},{39,1,1388},{9,1,1027},{11,1,5},{11,1,2032},{15,1,185},{3,1,264},{3,1,189},{3,1,164},{19,1,45},{17,3,384},{35,1,164},{35,1,100},{25,1,1},{35,1,384},{25,1,1},{37,1,2571},{37,1,2571},{37,1,2571},{7,1,1825},{7,1,2112},{9,1,1027},{9,1,1027},
{11,1,5},{13,1,1235},{15,1,185},{3,1,164},{3,1,164},{3,1,164},{19,1,45},{33,3,288},{35,1,100},{35,1,100},{25,1,1},{21,1,288},{25,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{23,0,1576},{23,0,1576},{23,0,1576},{23,0,1576},{9,1,586},{9,1,586},{9,1,586},{11,1,5},{15,1,185},
{15,1,185},{0,37,2665},{0,45,274},{0,44,8},{0,26,1025},{0,15,5885},{0,12,3666},{0,10,1742},{0,38,4406},{0,8,6359},{0,22,4730},{0,37,2665},{0,45,274},{0,44,8},{0,26,1025},{22,4,5885},{0,12,3666},{0,10,1742},{0,38,4406},{15,0,5885},{0,38,4406},{0,28,0},{0,28,0},{0,28,0},{0,6,1},{0,22,545},{0,20,208},{0,20,208},{0,18,340},{0,18,593},{0,18,376},{0,28,0},
{0,28,0},{0,28,0},{0,6,1},{2,2,545},{0,20,208},{0,20,208},{0,18,340},{22,0,545},{0,18,340},{28,0,2665},{0,45,274},{0,44,8},{0,26,1025},{28,0,2665},{37,0,2665},{0,26,1025},{0,24,2665},{37,0,2665},{0,24,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,3,2665},{0,43,169},{0,14,17},
{0,12,865},{0,13,6669},{0,28,3898},{0,42,1825},{0,8,4826},{0,24,7263},{0,38,5231},{0,3,2665},{0,43,169},{0,14,17},{0,12,865},{24,2,6669},{0,28,3898},{0,42,1825},{0,8,4826},{13,0,6669},{0,8,4826},{0,46,1},{0,46,1},{0,46,1},{0,8,4},{0,8,841},{0,6,306},{0,6,306},{0,34,520},{0,34,917},{0,34,584},{0,46,1},{0,46,1},{0,46,1},{0,8,4},{4,0,841},
{0,6,306},{0,6,306},{0,34,520},{8,0,841},{0,34,520},{44,2,2665},{0,43,169},{16,14,2},{0,12,865},{44,2,2665},{3,0,2665},{0,12,865},{0,40,2669},{3,0,2665},{0,40,2669},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,1,2669},{0,41,85},{16,46,79},{0,44,725},{0,11,7538},{0,14,4214},{0,12,1842},
{0,8,5354},{0,10,8241},{0,8,5795},{0,1,2669},{0,41,85},{16,46,54},{0,44,725},{24,4,7538},{0,14,4214},{0,12,1842},{0,8,5354},{11,0,7538},{0,8,5354},{0,29,1},{0,29,1},{0,29,1},{0,24,4},{0,40,1201},{0,22,458},{0,22,458},{0,4,730},{0,4,1325},{0,4,830},{0,29,1},{0,29,1},{0,29,1},{0,24,4},{20,0,1201},{0,22,458},{0,22,458},{0,4,730},{40,0,1201},
{0,4,730},{30,2,2665},{0,41,85},{32,46,5},{0,44,725},{30,2,2665},{35,2,2665},{0,44,725},{0,26,2665},{35,2,2665},{0,26,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{16,1,2799},{0,9,29},{16,31,167},{0,14,650},{0,9,8493},{0,46,4485},{0,44,1934},{0,40,5878},{0,26,9333},{0,40,6503},{16,1,2774},
{0,9,29},{16,31,142},{0,14,650},{42,0,8493},{0,46,4485},{0,44,1934},{0,40,5878},{9,0,8493},{0,40,5878},{0,11,0},{0,11,0},{0,11,0},{0,26,1},{0,26,1625},{0,24,629},{0,24,629},{0,20,986},{0,20,1793},{0,20,1130},{0,11,0},{0,11,0},{0,11,0},{0,26,1},{36,0,1625},{0,24,629},{0,24,629},{0,20,986},{26,0,1625},{0,20,986},{2,1,2665},{0,9,29},{18,47,1},
{0,14,650},{2,1,2665},{1,2,2665},{0,14,650},{0,42,2669},{1,2,2665},{0,42,2669},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{32,1,3171},{0,7,4},{16,15,315},{0,46,514},{0,7,9669},{0,31,4865},{0,46,2114},{0,10,6505},{0,12,10663},{0,10,7181},{32,1,3050},{0,7,4},{32,15,274},{0,46,514},{26,4,9669},
{0,31,4865},{0,46,2114},{0,10,6505},{7,0,9669},{0,10,6505},{0,23,0},{0,23,0},{0,23,0},{0,12,1},{0,28,2178},{0,10,820},{0,10,820},{0,6,1348},{0,6,2405},{0,20,1553},{0,23,0},{0,23,0},{0,23,0},{0,12,1},{2,24,2178},{0,10,820},{0,10,820},{0,6,1348},{28,0,2178},{0,6,1348},{29,0,2665},{0,7,4},{4,31,9},{0,46,514},{29,0,2665},{17,4,2665},{0,46,514},
{0,28,2665},{17,4,2665},{0,28,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,1,3529},{16,21,35},{32,29,444},{0,31,474},{0,19,9670},{0,45,4529},{0,46,1634},{0,42,6265},{0,28,10919},{0,26,7149},{18,1,3146},{16,21,10},{2,29,285},{0,31,474},{14,0,9669},{0,45,4529},{0,46,1634},{0,42,6265},{8,10,9669},
{0,42,6265},{16,21,34},{16,21,34},{16,21,34},{16,44,34},{0,46,2180},{0,12,610},{0,12,610},{0,22,1184},{0,22,2517},{0,22,1473},{16,21,9},{16,21,9},{16,21,9},{16,44,9},{22,2,2178},{0,12,610},{0,12,610},{0,22,1184},{42,2,2178},{0,22,1184},{13,2,2665},{16,21,1},{20,45,0},{0,31,410},{13,2,2665},{3,6,2665},{0,31,410},{0,14,2677},{3,6,2665},{0,14,2677},{16,0,34},
{16,0,34},{16,0,34},{16,0,34},{0,34,0},{0,34,0},{0,34,0},{0,32,1},{0,32,10},{0,32,10},{18,1,3971},{32,35,150},{2,43,644},{16,45,534},{0,1,9669},{0,43,4214},{0,31,1226},{0,28,5954},{0,14,11246},{0,12,6951},{4,1,3285},{2,5,4},{34,13,274},{32,15,483},{0,1,9669},{0,43,4214},{0,31,1226},{0,28,5954},{1,0,9669},{0,28,5954},{16,3,146},{16,3,146},{16,3,146},
{16,30,147},{0,29,2180},{0,28,458},{0,28,458},{0,8,1018},{0,8,2691},{0,38,1419},{2,21,0},{2,21,0},{2,21,0},{2,14,1},{8,2,2178},{0,28,458},{0,28,458},{0,8,1018},{30,2,2178},{0,8,1018},{27,2,2665},{2,5,4},{6,29,9},{0,15,338},{27,2,2665},{35,8,2665},{0,15,338},{0,30,2665},{35,8,2665},{0,30,2665},{16,0,146},{16,0,146},{16,0,146},{16,0,146},{0,6,1},
{0,6,1},{0,6,1},{0,18,4},{0,18,40},{0,18,40},{34,1,4603},{32,3,307},{2,11,925},{32,29,667},{16,1,9779},{0,41,3905},{0,45,913},{0,44,5653},{0,46,11530},{0,44,6878},{36,1,3390},{18,19,11},{4,27,269},{2,29,474},{18,3,9669},{0,41,3905},{0,45,913},{0,44,5653},{45,8,9669},{0,44,5653},{32,1,291},{32,1,291},{32,1,291},{32,47,291},{0,11,2178},{0,46,305},{0,46,305},
{0,40,925},{0,10,2872},{0,8,1427},{34,5,10},{34,5,10},{34,5,10},{18,46,9},{24,4,2178},{0,46,305},{0,46,305},{0,40,925},{11,0,2178},{0,40,925},{8,1,2665},{18,19,2},{22,43,0},{0,29,265},{8,1,2665},{1,8,2665},{0,29,265},{0,46,2677},{1,8,2665},{0,46,2677},{32,0,290},{32,0,290},{32,0,290},{32,0,290},{0,24,1},{0,24,1},{0,24,1},{0,20,1},{0,34,100},
{0,34,100},{20,1,5538},{2,17,582},{34,41,1298},{2,43,882},{2,1,10086},{0,9,3618},{0,43,581},{0,30,5418},{0,15,11905},{0,14,6895},{22,1,3586},{4,3,3},{36,11,273},{34,43,478},{15,2,9669},{0,9,3618},{0,43,581},{0,30,5418},{33,4,9669},{0,30,5418},{2,1,570},{2,1,570},{2,1,570},{2,15,549},{0,23,2178},{0,15,185},{0,15,185},{0,10,765},{0,26,3090},{0,10,1441},{4,3,2},
{4,3,2},{4,3,2},{4,47,2},{38,10,2178},{0,15,185},{0,15,185},{0,10,765},{23,0,2178},{0,10,765},{23,0,2665},{4,3,2},{8,11,8},{0,43,181},{23,0,2665},{18,9,2665},{0,43,181},{0,31,2665},{18,9,2665},{0,31,2665},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,28,0},{0,28,0},{0,28,0},{0,6,1},{0,20,208},{0,20,208},{36,1,6378},{18,1,926},{4,9,1734},
{18,27,1131},{18,1,10495},{0,7,3434},{0,27,353},{0,47,5186},{0,45,12293},{0,46,6789},{8,1,3785},{20,17,10},{6,25,270},{4,27,491},{43,0,9669},{0,7,3434},{0,27,353},{0,47,5186},{19,6,9669},{0,47,5186},{18,1,922},{18,1,922},{18,1,922},{18,45,842},{0,5,2180},{0,29,106},{0,29,106},{0,42,666},{0,12,3301},{0,26,1514},{36,3,4},{36,3,4},{36,3,4},{36,15,8},{28,2,2178},
{0,29,106},{0,29,106},{0,42,666},{42,8,2178},{0,42,666},{7,2,2665},{20,17,1},{24,41,2},{0,11,136},{7,2,2665},{2,7,2665},{0,11,136},{0,15,2669},{2,7,2665},{0,15,2669},{18,0,841},{18,0,841},{18,0,841},{18,0,841},{0,46,1},{0,46,1},{0,46,1},{0,8,4},{0,6,306},{0,6,306},{6,1,7490},{34,1,1446},{4,39,2218},{18,41,1450},{34,1,11103},{0,21,3209},{0,41,187},
{0,31,4909},{0,43,12686},{0,31,6845},{40,1,3938},{6,1,3},{38,9,273},{36,41,478},{11,0,9669},{0,21,3209},{0,41,187},{0,31,4909},{5,8,9669},{0,31,4909},{34,1,1382},{34,1,1382},{34,1,1382},{34,13,1213},{0,17,2178},{0,27,40},{0,27,40},{0,28,544},{0,44,3603},{0,12,1541},{6,1,2},{6,1,2},{6,1,2},{6,45,2},{16,3,2178},{0,27,40},{0,27,40},{0,28,544},{17,0,2178},
{0,28,544},{21,2,2665},{6,1,2},{10,9,8},{0,25,90},{21,2,2665},{16,5,2665},{0,25,90},{0,29,2665},{16,5,2665},{0,29,2665},{34,0,1213},{34,0,1213},{34,0,1213},{34,0,1213},{0,29,1},{0,29,1},{0,29,1},{0,24,4},{0,22,458},{0,22,458},{22,1,8710},{20,1,2145},{20,7,2826},{34,25,1850},{20,1,11913},{0,35,3073},{0,9,86},{0,15,4721},{0,41,13118},{0,15,6837},{26,1,4118},
{38,1,29},{8,23,258},{6,25,491},{24,3,9669},{0,35,3073},{0,9,86},{0,15,4721},{3,24,9669},{0,15,4721},{4,1,1973},{4,1,1973},{4,1,1973},{34,27,1630},{16,1,2221},{0,25,10},{0,25,10},{0,44,450},{0,46,3876},{0,28,1633},{38,1,4},{38,1,4},{38,1,4},{38,29,8},{30,4,2178},{0,25,10},{0,25,10},{0,44,450},{15,8,2178},{0,44,450},{14,1,2665},{8,1,25},{26,39,1},
{0,9,61},{14,1,2665},{4,5,2665},{0,9,61},{0,13,2669},{4,5,2665},{0,13,2669},{34,0,1629},{34,0,1629},{34,0,1629},{34,0,1629},{0,11,0},{0,11,0},{0,11,0},{0,26,1},{0,24,629},{0,24,629},{8,1,10335},{36,1,3100},{36,21,3546},{4,39,2361},{36,1,12883},{0,33,2901},{0,23,25},{0,13,4485},{0,25,13589},{0,45,6982},{42,1,4353},{24,1,117},{40,37,270},{38,39,491},{29,12,9669},
{0,33,2901},{0,23,25},{0,13,4485},{26,13,9669},{0,13,4485},{36,1,2739},{36,1,2739},{36,1,2739},{4,41,2181},{32,1,2427},{0,39,4},{0,39,4},{0,46,353},{0,31,4242},{0,14,1830},{24,1,17},{24,1,17},{24,1,17},{8,43,2},{45,0,2178},{16,39,2},{16,39,2},{0,46,353},{27,8,2178},{0,46,353},{17,0,2665},{40,1,73},{12,7,5},{0,23,25},{17,0,2665},{18,3,2665},{0,23,25},
{0,27,2665},{18,3,2665},{0,27,2665},{4,0,2180},{4,0,2180},{4,0,2180},{4,0,2180},{0,23,0},{0,23,0},{0,23,0},{0,12,1},{0,10,820},{0,10,820},{24,1,11582},{6,1,4137},{6,35,4199},{20,7,2845},{6,1,13958},{0,1,2826},{0,37,31},{0,43,4255},{0,39,13958},{0,43,6958},{28,1,4610},{10,1,278},{10,21,261},{8,23,481},{37,0,9669},{0,1,2825},{16,37,18},{0,43,4254},{36,9,9669},
{0,43,4254},{36,1,3454},{36,1,3454},{36,1,3454},{20,9,2665},{18,1,2740},{16,7,26},{16,7,26},{0,47,278},{0,15,4491},{0,46,1858},{40,1,29},{40,1,29},{40,1,29},{40,27,5},{29,2,2178},{32,23,2},{32,23,2},{0,47,277},{35,6,2178},{0,47,277},{1,2,2665},{42,1,157},{28,37,2},{0,37,5},{1,2,2665},{2,1,2665},{0,37,5},{0,11,2677},{2,1,2665},{0,11,2677},{20,0,2665},
{20,0,2665},{20,0,2665},{20,0,2665},{0,5,2},{0,5,2},{0,5,2},{0,14,5},{0,12,981},{0,12,981},{40,1,12090},{38,1,4554},{22,19,4203},{36,21,2837},{38,1,14410},{32,1,2930},{32,21,37},{0,27,4187},{0,37,13477},{0,27,6222},{14,1,4826},{42,1,465},{42,35,270},{40,7,488},{5,0,9669},{2,1,2921},{2,21,25},{0,27,4106},{0,5,9669},{0,27,4106},{22,1,3593},{22,1,3593},{22,1,3593},
{6,39,2677},{34,1,2840},{32,21,21},{32,21,21},{16,15,277},{0,43,4186},{0,31,1450},{26,1,52},{26,1,52},{26,1,52},{10,41,2},{43,2,2178},{18,7,4},{18,7,4},{0,15,205},{21,8,2178},{0,15,205},{13,3,2665},{44,1,260},{14,5,5},{0,5,8},{13,3,2665},{20,1,2665},{0,5,8},{0,25,2665},{20,1,2665},{0,25,2665},{6,0,2677},{6,0,2677},{6,0,2677},{6,0,2677},{32,35,4},
{32,35,4},{32,35,4},{32,30,5},{0,28,745},{0,28,745},{26,1,12542},{24,1,4990},{8,33,4178},{22,5,2845},{24,1,14719},{2,1,3162},{18,35,34},{16,41,4197},{0,5,13013},{0,41,5610},{46,1,5121},{28,1,754},{12,19,270},{26,21,484},{30,3,9669},{4,1,3110},{18,35,18},{0,41,3929},{42,9,9669},{0,41,3929},{8,1,3770},{8,1,3770},{8,1,3770},{22,7,2666},{20,1,3011},{18,5,26},{18,5,26},
{32,45,261},{0,27,3822},{0,15,1062},{12,1,98},{12,1,98},{12,1,98},{42,25,5},{38,1,2178},{34,21,2},{34,21,2},{0,29,160},{43,28,2178},{0,29,160},{43,1,2665},{30,1,388},{30,35,2},{16,35,2},{43,1,2665},{8,1,2665},{16,35,2},{0,9,2677},{8,1,2665},{0,9,2677},{22,0,2665},{22,0,2665},{22,0,2665},{22,0,2665},{2,3,2},{2,3,2},{2,3,2},{2,46,5},{0,46,578},
{0,46,578},{12,1,13222},{40,1,5610},{40,17,4197},{38,19,2849},{26,1,15194},{4,1,3497},{34,19,34},{32,9,4178},{0,3,12493},{0,25,4990},{47,1,5429},{14,1,1062},{44,33,261},{42,5,499},{46,1,9669},{36,1,3341},{4,19,26},{0,9,3770},{26,7,9669},{0,9,3770},{40,1,3929},{40,1,3929},{40,1,3929},{8,37,2678},{6,1,3174},{34,19,18},{34,19,18},{18,13,270},{0,25,3462},{0,29,754},{28,1,160},
{28,1,160},{28,1,160},{12,39,5},{39,0,2178},{20,35,2},{20,35,2},{0,13,98},{9,28,2178},{0,13,98},{11,1,2665},{47,1,578},{47,3,5},{2,3,2},{11,1,2665},{42,1,2665},{2,3,2},{0,23,2665},{42,1,2665},{0,23,2665},{8,0,2677},{8,0,2677},{8,0,2677},{8,0,2677},{34,17,2},{34,17,2},{34,17,2},{34,31,2},{0,31,388},{0,31,388},{28,1,13826},{26,1,6222},{26,1,4187},
{24,3,2835},{42,1,15614},{36,1,3886},{20,33,37},{18,23,4203},{0,17,12134},{0,39,4554},{45,1,5669},{30,1,1450},{14,17,277},{28,19,484},{31,1,9669},{38,1,3605},{20,33,21},{0,23,3593},{32,1,9669},{0,23,3593},{26,1,4106},{26,1,4106},{26,1,4106},{24,5,2665},{22,1,3378},{20,3,25},{20,3,25},{34,43,270},{0,39,3206},{0,43,465},{14,1,205},{14,1,205},{14,1,205},{44,7,5},{23,2,2178},
{36,3,4},{36,3,4},{0,27,52},{20,9,2178},{0,27,52},{39,3,2665},{29,1,745},{31,33,5},{34,33,4},{39,3,2665},{14,1,2665},{34,33,4},{0,7,2677},{14,1,2665},{0,7,2677},{24,0,2665},{24,0,2665},{24,0,2665},{24,0,2665},{4,1,8},{4,1,8},{4,1,8},{4,15,5},{0,45,260},{0,45,260},{14,1,14322},{42,1,6958},{42,1,4255},{40,17,2837},{28,1,16150},{38,1,4422},{36,1,31},
{34,7,4199},{0,1,11889},{0,7,4137},{29,1,6018},{47,1,1858},{46,1,278},{44,3,499},{45,1,9669},{40,1,3905},{6,17,26},{0,37,3454},{27,9,9669},{0,37,3454},{42,1,4254},{42,1,4254},{42,1,4254},{40,19,2678},{24,1,3540},{36,17,18},{36,17,18},{20,11,261},{0,37,2979},{0,11,278},{46,1,277},{46,1,277},{46,1,277},{14,37,5},{37,2,2178},{22,33,2},{22,33,2},{0,41,29},{34,7,2178},
{0,41,29},{7,3,2665},{13,1,981},{15,1,5},{4,1,2},{7,3,2665},{15,1,2665},{4,1,2},{0,21,2665},{15,1,2665},{0,21,2665},{10,0,2677},{10,0,2677},{10,0,2677},{10,0,2677},{36,1,5},{36,1,5},{36,1,5},{36,29,2},{0,43,157},{0,43,157},{30,1,13683},{44,1,6982},{12,1,4485},{26,17,2739},{14,1,15204},{24,1,4100},{22,1,25},{20,37,3546},{0,1,10840},{0,37,3100},{13,1,5451},
{15,1,1830},{47,1,353},{30,33,333},{39,11,8712},{26,1,3507},{38,1,4},{0,37,2739},{22,1,8712},{0,37,2739},{12,1,4485},{12,1,4485},{12,1,4485},{26,3,2665},{40,1,3736},{22,1,25},{22,1,25},{36,41,270},{0,5,2779},{0,25,117},{47,1,353},{47,1,353},{47,1,353},{46,5,5},{44,1,2178},{38,17,2},{38,17,2},{0,25,17},{26,9,2178},{0,25,17},{3,25,2178},{11,1,820},{13,1,1},
{22,1,0},{3,25,2178},{29,1,2178},{22,1,0},{0,5,2180},{29,1,2178},{0,5,2180},{26,0,2665},{26,0,2665},{26,0,2665},{26,0,2665},{22,1,25},{22,1,25},{22,1,25},{6,13,5},{0,41,73},{0,41,73},{47,1,12750},{14,1,6837},{14,1,4721},{12,1,2694},{30,1,14061},{40,1,3663},{8,1,86},{6,21,2826},{2,1,9775},{0,21,2145},{11,1,4689},{29,1,1633},{45,1,450},{47,17,195},{17,10,7578},
{44,1,2961},{24,1,10},{0,5,1973},{24,1,7578},{0,5,1973},{14,1,4721},{14,1,4721},{14,1,4721},{12,17,2673},{26,1,3965},{8,1,86},{8,1,86},{22,9,258},{0,3,2571},{0,39,29},{45,1,450},{45,1,450},{45,1,450},{47,19,5},{31,5,2178},{24,1,10},{24,1,10},{0,39,4},{14,9,2178},{0,39,4},{37,1,1625},{25,1,629},{27,1,1},{10,1,0},{37,1,1625},{27,1,1625},{10,1,0},
{0,35,1629},{27,1,1625},{0,35,1629},{12,0,2669},{12,0,2669},{12,0,2669},{12,0,2669},{8,1,61},{8,1,61},{8,1,61},{38,27,1},{0,9,25},{0,9,25},{15,1,12134},{30,1,6845},{30,1,4909},{28,1,2666},{47,1,13165},{26,1,3426},{40,1,187},{38,5,2218},{2,1,9023},{0,35,1446},{11,1,4097},{13,1,1541},{29,1,544},{31,17,90},{39,7,6661},{14,1,2525},{26,1,40},{0,35,1382},{26,1,6661},
{0,35,1382},{30,1,4909},{30,1,4909},{30,1,4909},{28,1,2666},{12,1,4230},{40,1,187},{40,1,187},{8,39,273},{0,17,2453},{0,7,3},{29,1,544},{29,1,544},{29,1,544},{15,3,5},{17,2,2178},{26,1,40},{26,1,40},{0,7,2},{16,1,2178},{0,7,2},{21,1,1201},{23,1,458},{25,1,4},{28,1,1},{21,1,1201},{41,1,1201},{28,1,1},{0,35,1213},{41,1,1201},{0,35,1213},{28,0,2665},
{28,0,2665},{28,0,2665},{28,0,2665},{24,1,90},{24,1,90},{24,1,90},{8,11,8},{0,7,2},{0,7,2},{45,1,11330},{47,1,6789},{46,1,5186},{14,1,2694},{47,1,12365},{42,1,3246},{26,1,353},{8,5,1734},{20,1,8393},{0,19,926},{25,1,3614},{27,1,1514},{43,1,666},{45,17,35},{9,3,5829},{47,1,2177},{28,1,106},{0,19,922},{31,3,5829},{0,19,922},{46,1,5186},{46,1,5186},{46,1,5186},
{14,1,2694},{14,1,4504},{26,1,353},{26,1,353},{24,7,270},{16,1,2450},{16,21,10},{43,1,666},{43,1,666},{43,1,666},{45,33,2},{29,3,2178},{28,1,106},{28,1,106},{2,37,4},{43,9,2178},{2,37,4},{5,1,841},{7,1,306},{9,1,4},{47,1,1},{5,1,841},{9,1,841},{47,1,1},{0,19,841},{9,1,841},{0,19,841},{14,0,2669},{14,0,2669},{14,0,2669},{14,0,2669},{10,1,136},
{10,1,136},{10,1,136},{40,25,2},{16,21,1},{16,21,1},{29,1,10834},{15,1,6895},{31,1,5418},{30,1,2786},{45,1,11530},{44,1,3154},{42,1,581},{40,35,1298},{36,1,7857},{16,3,582},{9,1,3105},{11,1,1441},{11,1,765},{13,1,8},{37,7,5082},{47,1,1905},{14,1,185},{0,3,570},{30,1,5082},{0,3,570},{31,1,5418},{31,1,5418},{31,1,5418},{30,1,2786},{30,1,4724},{42,1,581},{42,1,581},
{10,37,273},{2,1,2587},{2,5,3},{11,1,765},{11,1,765},{11,1,765},{13,1,8},{39,11,2178},{14,1,185},{14,1,185},{2,5,2},{22,1,2178},{2,5,2},{3,3,545},{21,1,208},{7,1,1},{29,1,0},{3,3,545},{23,1,545},{29,1,0},{0,3,545},{23,1,545},{0,3,545},{30,0,2665},{30,0,2665},{30,0,2665},{30,0,2665},{42,1,181},{42,1,181},{42,1,181},{10,9,8},{2,5,2},
{2,5,2},{13,1,10311},{45,1,6878},{45,1,5653},{47,1,2933},{29,1,10827},{14,1,3066},{44,1,913},{10,3,925},{8,1,7297},{2,33,307},{39,1,2707},{9,1,1427},{41,1,925},{27,1,32},{23,17,4344},{29,1,1611},{47,1,305},{0,33,291},{45,17,4344},{0,33,291},{45,1,5653},{45,1,5653},{45,1,5653},{47,1,2933},{47,1,5051},{44,1,913},{44,1,913},{26,5,269},{4,1,2859},{18,19,11},{41,1,925},
{41,1,925},{41,1,925},{27,1,32},{25,5,2178},{47,1,305},{47,1,305},{18,19,10},{10,1,2178},{18,19,10},{33,3,288},{35,1,100},{21,1,1},{25,1,1},{33,3,288},{21,1,288},{25,1,1},{0,33,290},{21,1,288},{0,33,290},{47,0,2677},{47,0,2677},{47,0,2677},{47,0,2677},{28,1,265},{28,1,265},{28,1,265},{42,23,0},{18,19,2},{18,19,2},{11,1,9837},{13,1,6951},{29,1,5954},
{15,1,3166},{13,1,10279},{47,1,3138},{30,1,1226},{42,3,644},{40,1,6929},{34,33,150},{7,1,2436},{39,1,1419},{9,1,1018},{11,1,101},{3,25,3779},{13,1,1475},{29,1,458},{2,17,146},{29,1,3779},{2,17,146},{29,1,5954},{29,1,5954},{29,1,5954},{15,1,3166},{31,1,5396},{30,1,1226},{30,1,1226},{12,35,274},{36,1,3147},{4,3,4},{9,1,1018},{9,1,1018},{9,1,1018},{11,1,101},{9,3,2178},
{29,1,458},{29,1,458},{20,3,0},{31,3,2178},{20,3,0},{17,3,128},{19,1,40},{19,1,4},{7,1,1},{17,3,128},{35,1,128},{7,1,1},{0,17,146},{35,1,128},{0,17,146},{31,0,2665},{31,0,2665},{31,0,2665},{31,0,2665},{14,1,338},{14,1,338},{14,1,338},{28,7,9},{4,3,4},{4,3,4},{11,1,9437},{27,1,7149},{43,1,6265},{29,1,3402},{11,1,9788},{47,1,3234},{47,1,1634},
{28,33,444},{42,1,6719},{20,17,35},{21,1,2210},{23,1,1473},{23,1,1184},{25,1,241},{21,17,3299},{11,1,1400},{13,1,610},{20,17,34},{17,21,3299},{20,17,34},{43,1,6265},{43,1,6265},{43,1,6265},{29,1,3402},{45,1,5621},{47,1,1634},{47,1,1634},{28,3,285},{8,1,3421},{20,17,10},{23,1,1184},{23,1,1184},{23,1,1184},{25,1,241},{23,3,2178},{13,1,610},{13,1,610},{20,17,9},{43,3,2178},
{20,17,9},{17,1,34},{33,1,10},{33,1,1},{35,1,0},{17,1,34},{3,1,34},{35,1,0},{0,17,34},{3,1,34},{0,17,34},{15,0,2677},{15,0,2677},{15,0,2677},{15,0,2677},{30,1,410},{30,1,410},{30,1,410},{44,21,0},{20,17,1},{20,17,1},{9,1,9175},{11,1,7181},{11,1,6505},{13,1,3686},{11,1,9340},{45,1,3447},{47,1,2114},{14,17,315},{44,1,6532},{6,1,4},{21,1,2034},
{21,1,1553},{7,1,1348},{39,1,410},{17,39,2904},{9,1,1411},{11,1,820},{22,1,0},{39,17,2904},{22,1,0},{11,1,6505},{11,1,6505},{11,1,6505},{13,1,3686},{13,1,5990},{47,1,2114},{47,1,2114},{14,33,274},{40,1,3789},{6,1,4},{7,1,1348},{7,1,1348},{7,1,1348},{39,1,410},{3,25,2178},{11,1,820},{11,1,820},{22,1,0},{29,1,2178},{22,1,0},{1,1,0},{1,1,0},{1,1,0},
{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{29,0,2665},{29,0,2665},{29,0,2665},{29,0,2665},{47,1,514},{47,1,514},{47,1,514},{30,5,9},{6,1,4},{6,1,4},{9,1,7987},{41,1,6503},{41,1,5878},{27,1,3561},{25,1,8118},{29,1,3051},{45,1,1934},{30,17,167},{30,1,5562},{8,1,29},{5,1,1507},{21,1,1130},{21,1,986},{23,1,298},{19,3,2166},
{23,1,1019},{25,1,629},{10,1,0},{39,1,2166},{10,1,0},{41,1,5878},{41,1,5878},{41,1,5878},{27,1,3561},{27,1,5301},{45,1,1934},{45,1,1934},{30,17,142},{42,1,3266},{8,1,29},{21,1,986},{21,1,986},{21,1,986},{23,1,298},{37,1,1625},{25,1,629},{25,1,629},{10,1,0},{27,1,1625},{10,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},
{0,1,0},{1,1,0},{0,1,0},{43,0,2669},{43,0,2669},{43,0,2669},{43,0,2669},{15,1,650},{15,1,650},{15,1,650},{46,19,1},{8,1,29},{8,1,29},{39,1,7111},{9,1,5795},{9,1,5354},{11,1,3381},{9,1,6983},{13,1,2803},{13,1,1842},{47,17,79},{47,1,4802},{40,1,85},{35,1,1132},{5,1,830},{5,1,730},{7,1,226},{3,3,1601},{7,1,739},{23,1,458},{28,1,1},{3,3,1601},
{28,1,1},{9,1,5354},{9,1,5354},{9,1,5354},{11,1,3381},{11,1,4622},{13,1,1842},{13,1,1842},{47,17,54},{44,1,2834},{40,1,85},{5,1,730},{5,1,730},{5,1,730},{7,1,226},{21,1,1201},{23,1,458},{23,1,458},{28,1,1},{41,1,1201},{28,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{27,0,2665},
{27,0,2665},{27,0,2665},{27,0,2665},{45,1,725},{45,1,725},{45,1,725},{47,33,5},{40,1,85},{40,1,85},{23,1,6361},{39,1,5231},{9,1,4826},{41,1,3294},{39,1,6071},{11,1,2610},{43,1,1825},{15,1,17},{47,1,4162},{42,1,169},{19,1,792},{35,1,584},{35,1,520},{21,1,153},{19,1,1121},{7,1,531},{7,1,306},{47,1,1},{37,1,1121},{47,1,1},{9,1,4826},{9,1,4826},{9,1,4826},
{41,1,3294},{41,1,4145},{43,1,1825},{43,1,1825},{15,1,17},{30,1,2474},{42,1,169},{35,1,520},{35,1,520},{35,1,520},{21,1,153},{5,1,841},{7,1,306},{7,1,306},{47,1,1},{9,1,841},{47,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{41,0,2669},{41,0,2669},{41,0,2669},{41,0,2669},{13,1,865},
{13,1,865},{13,1,865},{15,17,2},{42,1,169},{42,1,169},{7,1,5637},{23,1,4730},{39,1,4406},{9,1,3146},{39,1,5287},{11,1,2418},{11,1,1742},{45,1,8},{29,1,3547},{44,1,274},{3,1,489},{19,1,376},{19,1,340},{35,1,100},{33,33,726},{5,1,344},{21,1,208},{29,1,0},{33,33,726},{29,1,0},{39,1,4406},{39,1,4406},{39,1,4406},{9,1,3146},{9,1,3630},{11,1,1742},{11,1,1742},
{45,1,8},{47,1,2178},{44,1,274},{19,1,340},{19,1,340},{19,1,340},{35,1,100},{3,3,545},{21,1,208},{21,1,208},{29,1,0},{23,1,545},{29,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{25,0,2665},{25,0,2665},{25,0,2665},{25,0,2665},{27,1,1025},{27,1,1025},{27,1,1025},{45,1,8},{44,1,274},
{44,1,274},{36,1,50644},{0,1,2121},{0,25,169},{0,41,4591},{20,1,59804},{0,3,19310},{0,11,7401},{0,43,24008},{0,9,65535},{0,15,40741},{18,1,10267},{0,3,1445},{0,41,137},{0,15,3985},{42,6,18065},{0,45,12064},{0,31,6081},{0,12,14121},{19,0,18065},{0,12,14121},{0,15,1},{0,15,1},{0,15,1},{0,24,0},{0,24,1105},{0,22,410},{0,22,410},{0,4,666},{0,4,1217},{0,4,766},{0,15,1},
{0,15,1},{0,15,1},{0,24,0},{34,2,1105},{0,22,410},{0,22,410},{0,4,666},{24,0,1105},{0,4,666},{43,2,9248},{0,3,1445},{0,41,137},{0,15,3985},{43,2,9248},{21,8,9248},{0,15,3985},{0,14,9256},{21,8,9248},{0,14,9256},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{36,1,53600},{16,1,2998},{0,9,44},
{0,25,3941},{36,1,62123},{0,1,18506},{0,25,6750},{0,27,23131},{0,39,65535},{0,29,40569},{34,1,10859},{0,1,1241},{0,9,50},{0,13,3690},{16,3,19334},{0,43,12449},{0,15,6117},{0,28,14809},{17,0,19334},{0,28,14809},{0,27,0},{0,27,0},{0,27,0},{0,10,1},{0,26,1513},{0,8,585},{0,8,585},{0,20,914},{0,20,1669},{0,20,1058},{0,27,0},{0,27,0},{0,27,0},{0,10,1},{34,4,1513},
{0,8,585},{0,8,585},{0,20,914},{26,0,1513},{0,20,914},{38,1,9248},{0,1,1241},{0,9,50},{0,13,3690},{38,1,9248},{43,28,9248},{0,13,3690},{0,46,9250},{43,28,9248},{0,46,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{36,1,56716},{16,1,4497},{0,23,30},{0,39,3500},{36,1,64625},{0,1,18101},{0,9,6313},
{0,11,22459},{0,37,65535},{0,43,39632},{4,1,11624},{0,1,1225},{0,39,10},{0,27,3400},{16,1,20689},{0,41,12854},{0,43,6221},{0,44,15490},{19,2,20689},{0,44,15490},{0,9,1},{0,9,1},{0,9,1},{0,42,1},{0,12,1985},{0,10,757},{0,10,757},{0,36,1241},{0,36,2193},{0,20,1394},{0,9,1},{0,9,1},{0,9,1},{0,42,1},{6,0,1985},{0,10,757},{0,10,757},{0,36,1241},{12,0,1985},
{0,36,1241},{24,1,9248},{0,1,1225},{0,39,10},{0,27,3400},{24,1,9248},{32,9,9248},{0,27,3400},{0,47,9248},{32,9,9248},{0,47,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,1,58324},{32,1,6344},{0,7,6},{0,23,2873},{36,1,65535},{16,1,17968},{0,23,5727},{0,25,21128},{0,21,63585},{0,27,38087},{36,1,12449},
{16,1,1437},{0,7,9},{0,41,3185},{47,2,22129},{0,25,13298},{0,43,6189},{0,44,16354},{17,2,22129},{0,44,16354},{0,21,0},{0,21,0},{0,21,0},{0,44,1},{0,44,2521},{0,26,953},{0,26,953},{0,6,1553},{0,6,2770},{0,6,1778},{0,21,0},{0,21,0},{0,21,0},{0,44,1},{22,0,2521},{0,26,953},{0,26,953},{0,6,1553},{44,0,2521},{0,6,1553},{7,0,9248},{16,1,1412},{16,7,0},
{0,41,3185},{7,0,9248},{0,7,9248},{0,41,3185},{0,15,9266},{0,7,9248},{0,15,9266},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{22,1,58878},{32,1,8497},{0,21,52},{0,37,2302},{22,1,65535},{16,1,18091},{0,37,5062},{0,9,19646},{0,5,60796},{0,41,35977},{36,1,13547},{16,1,1923},{16,21,62},{0,25,2897},{45,0,23851},
{0,39,13856},{0,27,6323},{0,46,17289},{27,8,23851},{0,46,17289},{0,33,0},{0,33,0},{0,33,0},{0,30,0},{0,46,3200},{0,12,1186},{0,12,1186},{0,38,1962},{0,22,3521},{0,22,2261},{0,33,0},{0,33,0},{0,33,0},{0,30,0},{18,10,3200},{0,12,1186},{0,12,1186},{0,38,1962},{46,0,3200},{0,38,1962},{37,2,9248},{2,1,1717},{2,21,5},{0,25,2897},{37,2,9248},{34,7,9248},{0,25,2897},
{0,45,9250},{34,7,9248},{0,45,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{22,1,59528},{2,1,10468},{0,5,122},{0,21,1965},{22,1,65535},{16,1,18728},{0,21,4602},{0,23,18427},{0,3,58418},{0,25,34396},{6,1,14752},{2,1,2501},{16,35,141},{0,39,2720},{45,2,25472},{0,37,14401},{0,41,6413},{0,46,18185},{25,8,25472},
{0,46,18185},{0,1,16},{0,1,16},{0,1,16},{0,47,0},{0,31,3872},{0,28,1450},{0,28,1450},{0,38,2362},{0,38,4283},{0,38,2723},{0,1,16},{0,1,16},{0,1,16},{0,47,0},{36,6,3872},{0,28,1450},{0,28,1450},{0,38,2362},{31,0,3872},{0,38,2362},{44,1,9248},{20,1,2041},{18,5,2},{0,39,2720},{44,1,9248},{26,9,9248},{0,39,2720},{0,13,9256},{26,9,9248},{0,13,9256},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{24,1,60070},{2,1,12544},{0,19,188},{0,35,1604},{22,1,65535},{32,1,19503},{0,5,4081},{0,7,17117},{0,3,56204},{0,25,32856},{22,1,15824},{2,1,3225},{32,19,229},{0,7,2478},{46,10,26744},{0,21,14657},{0,25,6357},{0,31,18737},{23,8,26744},{0,31,18737},{16,1,115},{16,1,115},{16,1,115},
{0,15,5},{0,29,4420},{0,46,1613},{0,46,1613},{0,8,2642},{0,8,4931},{0,8,3083},{16,1,90},{16,1,90},{16,1,90},{0,15,5},{8,2,4418},{0,46,1613},{0,46,1613},{0,8,2642},{30,2,4418},{0,8,2642},{33,0,9248},{36,1,2405},{34,19,5},{0,7,2474},{33,0,9248},{32,3,9248},{0,7,2474},{0,43,9250},{32,3,9248},{0,43,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,16,1},
{0,16,1},{0,16,1},{0,16,1},{0,16,2},{0,16,2},{24,1,60699},{2,1,14864},{16,3,314},{0,19,1400},{24,1,65535},{2,1,20230},{0,19,3323},{0,37,15488},{0,17,54456},{0,39,31364},{24,1,16210},{4,1,3849},{2,33,221},{0,37,2328},{38,3,26744},{0,3,14114},{0,23,5618},{0,15,18273},{35,8,26744},{0,15,18273},{32,1,291},{32,1,291},{32,1,291},{16,29,50},{0,11,4418},{0,31,1325},{0,31,1325},
{0,10,2465},{0,10,5112},{0,8,3051},{2,1,136},{2,1,136},{2,1,136},{32,29,5},{24,4,4418},{0,31,1325},{0,31,1325},{0,10,2465},{11,0,4418},{0,10,2465},{47,1,9248},{8,1,2738},{20,3,1},{0,37,2228},{47,1,9248},{31,9,9248},{0,37,2228},{0,11,9256},{31,9,9248},{0,11,9256},{16,0,50},{16,0,50},{16,0,50},{16,0,50},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,32,18},
{0,32,18},{24,1,61549},{2,1,17597},{16,17,476},{0,33,1268},{24,1,65535},{2,1,21346},{0,33,2615},{0,5,13900},{0,17,52724},{0,37,29656},{40,1,16729},{36,1,4545},{34,1,221},{32,21,2384},{8,1,26744},{0,3,13529},{0,37,4710},{0,29,17819},{1,8,26744},{0,29,17819},{2,1,626},{2,1,626},{2,1,626},{32,43,185},{0,23,4418},{0,45,1037},{0,45,1037},{0,10,2249},{0,26,5330},{0,10,2925},{34,1,185},
{34,1,185},{34,1,185},{18,13,4},{38,10,4418},{0,45,1037},{0,45,1037},{0,10,2249},{23,0,4418},{0,10,2249},{29,3,9248},{40,1,3188},{6,17,2},{0,35,2041},{29,3,9248},{43,9,9248},{0,35,2041},{0,41,9256},{43,9,9248},{0,41,9256},{32,0,185},{32,0,185},{32,0,185},{32,0,185},{0,38,0},{0,38,0},{0,38,0},{0,34,1},{0,18,61},{0,18,61},{40,1,62083},{4,1,19345},{16,1,697},
{0,17,1188},{24,1,65535},{2,1,22086},{0,17,2057},{0,35,12551},{0,1,51532},{0,37,28158},{26,1,16691},{36,1,5081},{20,1,265},{32,35,2281},{29,12,26259},{0,17,12803},{0,5,3981},{0,43,16952},{26,13,26259},{0,43,16952},{18,1,1006},{18,1,1006},{18,1,1006},{2,11,378},{0,5,4420},{0,43,820},{0,43,820},{0,12,2020},{0,12,5541},{0,42,2966},{20,1,265},{20,1,265},{20,1,265},{34,27,1},{28,2,4418},
{0,43,820},{0,43,820},{0,12,2020},{42,8,4418},{0,12,2020},{43,3,8978},{42,1,3434},{22,1,1},{0,19,1737},{43,3,8978},{45,7,8978},{0,19,1737},{0,9,8986},{45,7,8978},{0,9,8986},{2,0,377},{2,0,377},{2,0,377},{2,0,377},{0,10,1},{0,10,1},{0,10,1},{0,20,4},{0,4,136},{0,4,136},{40,1,62361},{4,1,19653},{16,1,1095},{0,17,1126},{24,1,65535},{2,1,21601},{0,17,1502},
{0,19,11253},{0,1,50904},{0,37,27226},{42,1,15419},{38,1,4708},{36,1,320},{18,19,1862},{23,2,24371},{0,1,11221},{0,35,2905},{0,27,15080},{20,9,24371},{0,27,15080},{34,1,1522},{34,1,1522},{34,1,1522},{2,25,618},{0,17,4418},{0,41,610},{0,41,610},{0,44,1810},{0,44,5843},{0,12,2885},{36,1,320},{36,1,320},{36,1,320},{20,11,9},{16,3,4418},{0,41,610},{0,41,610},{0,44,1810},{17,0,4418},
{0,44,1810},{27,3,7938},{44,1,3033},{8,1,4},{0,19,1225},{27,3,7938},{39,9,7938},{0,19,1225},{0,9,7946},{39,9,7938},{0,9,7946},{2,0,617},{2,0,617},{2,0,617},{2,0,617},{0,44,0},{0,44,0},{0,44,0},{0,22,1},{0,36,232},{0,36,232},{40,1,62690},{4,1,20049},{32,1,1585},{16,17,1131},{40,1,65535},{2,1,21187},{0,17,1035},{0,19,10004},{0,1,50320},{0,37,26351},{28,1,14260},
{24,1,4365},{22,1,410},{4,19,1523},{47,11,22568},{0,1,9893},{0,19,1997},{0,27,13320},{22,9,22568},{0,27,13320},{4,1,2169},{4,1,2169},{4,1,2169},{18,9,929},{16,1,4461},{0,9,442},{0,9,442},{0,14,1665},{0,46,6116},{0,44,2907},{22,1,410},{22,1,410},{22,1,410},{36,25,1},{30,4,4418},{0,9,442},{0,9,442},{0,14,1665},{15,8,4418},{0,14,1665},{11,3,6962},{14,1,2645},{10,1,1},
{0,3,832},{11,3,6962},{44,3,6962},{0,3,832},{0,39,6962},{44,3,6962},{0,39,6962},{18,0,925},{18,0,925},{18,0,925},{18,0,925},{0,47,0},{0,47,0},{0,47,0},{0,8,0},{0,22,338},{0,22,338},{40,1,63078},{4,1,20586},{32,1,2208},{16,1,1221},{40,1,65535},{2,1,20797},{0,17,616},{0,19,8676},{0,1,49684},{0,37,25424},{14,1,12942},{40,1,4061},{8,1,530},{36,19,1147},{21,2,20642},
{16,1,8678},{0,3,1157},{0,41,11489},{24,9,20642},{0,41,11489},{20,1,3009},{20,1,3009},{20,1,3009},{34,7,1358},{32,1,4667},{0,7,305},{0,7,305},{0,46,1445},{0,31,6482},{0,14,3034},{8,1,530},{8,1,530},{8,1,530},{22,9,5},{45,0,4418},{0,7,305},{0,7,305},{0,46,1445},{27,8,4418},{0,46,1445},{11,1,5941},{30,1,2260},{42,1,0},{0,33,445},{11,1,5941},{26,1,5941},{0,33,445},
{0,23,5941},{26,1,5941},{0,23,5941},{34,0,1354},{34,0,1354},{34,0,1354},{34,0,1354},{0,13,0},{0,13,0},{0,13,0},{0,40,1},{0,8,522},{0,8,522},{40,1,63433},{4,1,21145},{32,1,2873},{16,1,1404},{40,1,65535},{2,1,20517},{0,1,339},{0,19,7570},{0,1,49136},{0,37,24652},{30,1,11862},{26,1,3845},{40,1,617},{22,3,868},{44,1,19021},{2,1,7769},{0,33,621},{0,25,9957},{26,9,19021},
{0,25,9957},{36,1,3819},{36,1,3819},{36,1,3819},{4,37,1809},{2,1,5012},{0,5,185},{0,5,185},{0,31,1285},{0,15,6822},{0,46,3029},{40,1,617},{40,1,617},{40,1,617},{38,23,2},{29,2,4418},{0,5,185},{0,5,185},{0,31,1285},{35,6,4418},{0,31,1285},{41,1,5101},{47,1,1924},{28,1,1},{0,17,221},{41,1,5101},{28,1,5101},{0,17,221},{0,7,5113},{28,1,5101},{0,7,5113},{4,0,1808},
{4,0,1808},{4,0,1808},{4,0,1808},{0,25,0},{0,25,0},{0,25,0},{0,26,4},{0,24,698},{0,24,698},{26,1,63733},{4,1,21777},{32,1,3641},{16,1,1687},{40,1,65535},{2,1,20303},{0,1,133},{0,3,6539},{0,1,48607},{0,37,23935},{30,1,10886},{42,1,3641},{26,1,724},{8,33,659},{46,3,17485},{2,1,6985},{0,17,257},{0,25,8565},{16,3,17485},{0,25,8565},{6,1,4820},{6,1,4820},{6,1,4820},
{4,5,2324},{18,1,5437},{0,3,101},{0,3,101},{0,15,1129},{0,45,7234},{0,31,3141},{26,1,724},{26,1,724},{26,1,724},{24,7,4},{43,2,4418},{0,3,101},{0,3,101},{0,15,1129},{21,8,4418},{0,15,1129},{25,1,4325},{15,1,1658},{14,1,4},{0,17,61},{25,1,4325},{14,1,4325},{0,17,61},{0,7,4329},{14,1,4325},{0,7,4329},{4,0,2320},{4,0,2320},{4,0,2320},{4,0,2320},{0,7,0},
{0,7,0},{0,7,0},{0,28,1},{0,10,872},{0,10,872},{26,1,63992},{4,1,22482},{2,1,4507},{32,1,2059},{40,1,65535},{2,1,20157},{0,1,26},{0,3,5537},{0,1,48100},{0,21,23272},{47,1,9918},{28,1,3518},{42,1,832},{24,33,446},{46,1,16034},{4,1,6314},{0,1,65},{0,39,7293},{26,7,16034},{0,39,7293},{22,1,5900},{22,1,5900},{22,1,5900},{20,19,2888},{34,1,6029},{0,17,40},{0,17,40},
{0,29,1000},{0,43,7619},{0,15,3261},{42,1,832},{42,1,832},{42,1,832},{40,21,1},{38,1,4418},{0,17,40},{0,17,40},{0,29,1000},{43,28,4418},{0,29,1000},{9,1,3613},{29,1,1345},{47,1,4},{0,1,1},{9,1,3613},{46,1,3613},{0,1,1},{0,37,3613},{46,1,3613},{0,37,3613},{20,0,2888},{20,0,2888},{20,0,2888},{20,0,2888},{0,19,1},{0,19,1},{0,19,1},{0,14,0},{0,12,1082},
{0,12,1082},{26,1,64289},{20,1,23310},{2,1,5546},{32,1,2553},{40,1,65535},{2,1,20076},{0,1,26},{0,3,4514},{0,1,47560},{0,5,22518},{31,1,9017},{14,1,3261},{28,1,1000},{10,33,281},{17,2,14504},{36,1,5594},{16,1,40},{0,23,5900},{16,1,14504},{0,23,5900},{38,1,7293},{38,1,7293},{38,1,7293},{36,33,3614},{4,1,6900},{0,1,65},{0,1,65},{0,43,832},{0,41,8070},{0,29,3518},{28,1,1000},
{28,1,1000},{28,1,1000},{26,5,2},{39,0,4418},{16,1,40},{16,1,40},{0,43,832},{9,28,4418},{0,43,832},{23,17,2888},{13,1,1082},{15,1,0},{18,1,1},{23,17,2888},{45,17,2888},{18,1,1},{0,21,2888},{45,17,2888},{0,21,2888},{36,0,3613},{36,0,3613},{36,0,3613},{36,0,3613},{0,1,1},{0,1,1},{0,1,1},{0,46,4},{0,28,1345},{0,28,1345},{26,1,64605},{36,1,24062},{2,1,6574},
{32,1,3098},{26,1,65535},{2,1,20094},{0,1,133},{0,33,3661},{0,1,47145},{0,5,21893},{45,1,8116},{30,1,3141},{14,1,1129},{42,17,147},{43,7,13235},{38,1,5012},{2,1,101},{0,7,4820},{18,1,13235},{0,7,4820},{24,1,8565},{24,1,8565},{24,1,8565},{6,1,4329},{36,1,7725},{16,1,257},{16,1,257},{0,27,724},{0,25,8530},{0,43,3641},{14,1,1129},{14,1,1129},{14,1,1129},{42,19,2},{23,2,4418},
{2,1,101},{2,1,101},{0,27,724},{20,9,4418},{0,27,724},{37,3,2312},{11,1,872},{29,1,1},{6,1,0},{37,3,2312},{21,5,2312},{6,1,0},{0,5,2320},{21,5,2312},{0,5,2320},{6,0,4329},{6,0,4329},{6,0,4329},{6,0,4329},{16,1,61},{16,1,61},{16,1,61},{0,15,4},{0,14,1658},{0,14,1658},{26,1,64960},{36,1,24888},{18,1,7643},{32,1,3742},{26,1,65535},{4,1,20161},{0,1,342},
{0,33,2900},{0,1,46786},{0,5,21347},{29,1,7443},{47,1,3029},{30,1,1285},{12,17,66},{17,6,12051},{24,1,4500},{4,1,185},{0,37,3819},{20,1,12051},{0,37,3819},{24,1,9957},{24,1,9957},{24,1,9957},{22,1,5161},{36,1,8717},{32,1,621},{32,1,621},{0,41,617},{0,39,9026},{0,27,3845},{30,1,1285},{30,1,1285},{30,1,1285},{28,3,4},{37,2,4418},{4,1,185},{4,1,185},{0,41,617},{34,7,4418},
{0,41,617},{21,3,1800},{25,1,698},{27,1,4},{24,1,0},{21,3,1800},{43,1,1800},{24,1,0},{0,5,1808},{43,1,1800},{0,5,1808},{6,0,5113},{6,0,5113},{6,0,5113},{6,0,5113},{16,1,221},{16,1,221},{16,1,221},{0,29,1},{0,46,1924},{0,46,1924},{26,1,65314},{36,1,25774},{18,1,8796},{32,1,4480},{26,1,65535},{4,1,20229},{16,1,625},{0,33,2238},{0,1,46456},{0,5,20870},{13,1,6795},
{15,1,3034},{47,1,1445},{44,1,17},{39,11,10952},{40,1,4076},{6,1,305},{0,21,3009},{22,1,10952},{0,21,3009},{40,1,11489},{40,1,11489},{40,1,11489},{38,1,6125},{6,1,9922},{2,1,1157},{2,1,1157},{0,9,530},{0,37,9571},{0,41,4061},{47,1,1445},{47,1,1445},{47,1,1445},{44,17,2},{44,1,4418},{6,1,305},{6,1,305},{0,9,530},{26,9,4418},{0,9,530},{5,3,1352},{9,1,522},{41,1,1},
{12,1,0},{5,3,1352},{11,1,1352},{12,1,0},{0,35,1354},{11,1,1352},{0,35,1354},{22,0,5941},{22,0,5941},{22,0,5941},{22,0,5941},{32,1,445},{32,1,445},{32,1,445},{0,43,0},{0,31,2260},{0,31,2260},{26,1,65535},{36,1,26766},{18,1,10162},{2,1,5359},{26,1,65359},{4,1,20334},{16,1,1051},{0,33,1610},{0,1,45998},{0,5,20364},{11,1,6173},{45,1,2907},{15,1,1665},{30,1,2},{17,10,9818},
{42,1,3693},{8,1,442},{0,5,2169},{24,1,9818},{0,5,2169},{26,1,13320},{26,1,13320},{26,1,13320},{8,1,7395},{22,1,11384},{18,1,1997},{18,1,1997},{0,23,410},{0,21,10181},{0,25,4365},{15,1,1665},{15,1,1665},{15,1,1665},{30,1,2},{31,5,4418},{8,1,442},{8,1,442},{0,23,410},{14,9,4418},{0,23,410},{5,1,925},{23,1,338},{9,1,0},{46,1,0},{5,1,925},{9,1,925},{46,1,0},
{0,19,925},{9,1,925},{0,19,925},{38,0,6962},{38,0,6962},{38,0,6962},{38,0,6962},{2,1,832},{2,1,832},{2,1,832},{0,11,1},{0,15,2645},{0,15,2645},{26,1,65535},{36,1,27616},{18,1,11415},{2,1,6203},{26,1,65014},{4,1,20439},{16,1,1524},{0,17,1111},{0,1,45494},{0,5,19935},{11,1,5581},{13,1,2885},{45,1,1810},{47,1,50},{39,7,8901},{44,1,3373},{40,1,610},{0,35,1522},{26,1,8901},
{0,35,1522},{26,1,15080},{26,1,15080},{26,1,15080},{24,1,8661},{24,1,12846},{34,1,2905},{34,1,2905},{0,37,320},{0,3,10790},{0,39,4708},{45,1,1810},{45,1,1810},{45,1,1810},{47,1,50},{17,2,4418},{40,1,610},{40,1,610},{0,37,320},{16,1,4418},{0,37,320},{35,1,613},{37,1,232},{23,1,1},{45,1,0},{35,1,613},{23,1,613},{45,1,0},{0,3,617},{23,1,613},{0,3,617},{8,0,7946},
{8,0,7946},{8,0,7946},{8,0,7946},{18,1,1225},{18,1,1225},{18,1,1225},{0,9,4},{0,45,3033},{0,45,3033},{26,1,65535},{36,1,28505},{34,1,12706},{2,1,7117},{26,1,64677},{4,1,20609},{16,1,2082},{0,17,705},{0,1,45031},{0,5,19583},{41,1,5202},{43,1,2966},{13,1,2020},{31,1,148},{9,3,8069},{30,1,3125},{42,1,820},{0,19,1006},{31,3,8069},{0,19,1006},{42,1,16952},{42,1,16952},{42,1,16952},
{24,1,10085},{24,1,14318},{4,1,3981},{4,1,3981},{0,21,265},{0,3,11302},{0,37,5081},{13,1,2020},{13,1,2020},{13,1,2020},{31,1,148},{29,3,4418},{42,1,820},{42,1,820},{0,21,265},{43,9,4418},{0,21,265},{19,1,365},{5,1,136},{21,1,4},{11,1,1},{19,1,365},{37,1,365},{11,1,1},{0,3,377},{37,1,365},{0,3,377},{8,0,8986},{8,0,8986},{8,0,8986},{8,0,8986},{18,1,1737},
{18,1,1737},{18,1,1737},{0,23,1},{0,43,3434},{0,43,3434},{42,1,65535},{36,1,29412},{4,1,13785},{18,1,7875},{26,1,64490},{20,1,20801},{32,1,2593},{16,17,472},{0,1,43813},{0,3,17452},{9,1,4729},{11,1,2925},{11,1,2249},{45,1,281},{37,7,7322},{47,1,2941},{44,1,1037},{0,3,626},{30,1,7322},{0,3,626},{28,1,17819},{28,1,17819},{28,1,17819},{40,1,10777},{40,1,15150},{36,1,4710},{36,1,4710},
{0,35,221},{0,17,11076},{0,37,4545},{11,1,2249},{11,1,2249},{11,1,2249},{45,1,281},{39,11,4418},{44,1,1037},{44,1,1037},{0,35,185},{22,1,4418},{0,35,185},{3,1,181},{19,1,61},{35,1,1},{39,1,0},{3,1,181},{5,1,181},{39,1,0},{0,33,185},{5,1,181},{0,33,185},{40,0,9256},{40,0,9256},{40,0,9256},{40,0,9256},{34,1,2041},{34,1,2041},{34,1,2041},{16,7,2},{0,41,3188},
{0,41,3188},{42,1,65535},{38,1,30127},{36,1,14877},{4,1,8601},{42,1,64081},{36,1,20736},{18,1,3192},{2,17,302},{0,1,42247},{0,3,14278},{39,1,4387},{9,1,3051},{11,1,2465},{13,1,490},{23,17,6584},{29,1,2843},{30,1,1325},{0,33,291},{45,17,6584},{0,33,291},{14,1,18273},{14,1,18273},{14,1,18273},{42,1,11259},{26,1,15731},{22,1,5618},{22,1,5618},{32,3,221},{0,1,10637},{0,5,3849},{11,1,2465},
{11,1,2465},{11,1,2465},{13,1,490},{25,5,4418},{30,1,1325},{30,1,1325},{0,3,136},{10,1,4418},{0,3,136},{1,3,50},{33,1,18},{3,1,0},{5,1,0},{1,3,50},{3,1,50},{5,1,0},{0,17,50},{3,1,50},{0,17,50},{10,0,9256},{10,0,9256},{10,0,9256},{10,0,9256},{36,1,2228},{36,1,2228},{36,1,2228},{2,21,1},{0,9,2738},{0,9,2738},{28,1,65535},{24,1,30766},{6,1,16028},
{36,1,9391},{28,1,64158},{36,1,21269},{4,1,3821},{18,1,176},{0,1,41339},{0,3,11746},{23,1,4216},{9,1,3083},{9,1,2642},{27,1,776},{3,25,6019},{13,1,2763},{47,1,1613},{0,17,115},{29,1,6019},{0,17,115},{30,1,18737},{30,1,18737},{30,1,18737},{12,1,11820},{42,1,16379},{24,1,6357},{24,1,6357},{18,33,229},{0,1,10589},{0,3,3225},{9,1,2642},{9,1,2642},{9,1,2642},{27,1,776},{9,3,4418},
{47,1,1613},{47,1,1613},{0,17,90},{31,3,4418},{0,17,90},{1,17,2},{17,1,2},{17,1,1},{17,1,1},{1,17,2},{17,1,2},{17,1,1},{0,1,4},{17,1,2},{0,1,4},{42,0,9250},{42,0,9250},{42,0,9250},{42,0,9250},{6,1,2474},{6,1,2474},{6,1,2474},{18,35,5},{0,37,2405},{0,37,2405},{14,1,65535},{24,1,31241},{22,1,16737},{6,1,10024},{14,1,64173},{38,1,21415},{20,1,4180},
{4,1,111},{16,1,40689},{0,3,9508},{7,1,3648},{39,1,2723},{39,1,2362},{11,1,725},{37,1,5163},{13,1,2451},{29,1,1450},{0,1,16},{7,19,5163},{0,1,16},{47,1,18185},{47,1,18185},{47,1,18185},{44,1,11714},{28,1,15784},{40,1,6413},{40,1,6413},{34,17,141},{0,1,9881},{0,3,2501},{39,1,2362},{39,1,2362},{39,1,2362},{11,1,725},{37,7,3872},{29,1,1450},{29,1,1450},{0,1,16},{30,1,3872},
{0,1,16},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{12,0,9256},{12,0,9256},{12,0,9256},{12,0,9256},{38,1,2720},{38,1,2720},{38,1,2720},{4,19,2},{0,21,2041},{0,21,2041},{30,1,65535},{40,1,31563},{8,1,17236},{38,1,10554},{14,1,63701},{24,1,21372},{36,1,4441},{20,1,45},{16,1,40151},{0,33,7454},{21,1,3014},
{23,1,2261},{39,1,1962},{25,1,629},{21,17,4267},{11,1,2028},{13,1,1186},{32,1,0},{17,21,4267},{32,1,0},{47,1,17289},{47,1,17289},{47,1,17289},{14,1,11436},{14,1,14726},{26,1,6323},{26,1,6323},{20,17,62},{16,1,9032},{0,17,1923},{39,1,1962},{39,1,1962},{39,1,1962},{25,1,629},{19,11,3200},{13,1,1186},{13,1,1186},{32,1,0},{47,1,3200},{32,1,0},{1,1,0},{1,1,0},{1,1,0},
{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{44,0,9250},{44,0,9250},{44,0,9250},{44,0,9250},{24,1,2897},{24,1,2897},{24,1,2897},{20,3,5},{0,3,1717},{0,3,1717},{30,1,65535},{26,1,31988},{24,1,17745},{8,1,11181},{30,1,63430},{40,1,21435},{22,1,4810},{6,1,5},{2,1,39477},{0,33,5328},{21,1,2339},{7,1,1778},{7,1,1553},{9,1,477},{19,5,3361},
{25,1,1634},{27,1,953},{20,1,0},{37,3,3361},{20,1,0},{45,1,16354},{45,1,16354},{45,1,16354},{30,1,11202},{30,1,13722},{42,1,6189},{42,1,6189},{6,1,9},{2,1,8249},{0,17,1437},{7,1,1553},{7,1,1553},{7,1,1553},{9,1,477},{23,1,2521},{27,1,953},{27,1,953},{20,1,0},{45,1,2521},{20,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},
{0,1,0},{1,1,0},{0,1,0},{14,0,9266},{14,0,9266},{14,0,9266},{14,0,9266},{40,1,3185},{40,1,3185},{40,1,3185},{6,17,0},{0,17,1412},{0,17,1412},{47,1,65535},{42,1,32389},{10,1,18354},{40,1,11850},{30,1,63370},{40,1,21737},{8,1,5159},{22,1,24},{2,1,39380},{0,17,3675},{5,1,1843},{21,1,1394},{37,1,1241},{23,1,370},{5,1,2646},{9,1,1282},{11,1,757},{8,1,1},{9,1,2646},
{8,1,1},{45,1,15490},{45,1,15490},{45,1,15490},{47,1,10946},{47,1,12914},{42,1,6221},{42,1,6221},{38,1,10},{2,1,7753},{0,1,1225},{37,1,1241},{37,1,1241},{37,1,1241},{23,1,370},{7,1,1985},{11,1,757},{11,1,757},{8,1,1},{13,1,1985},{8,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{46,0,9248},
{46,0,9248},{46,0,9248},{46,0,9248},{26,1,3400},{26,1,3400},{26,1,3400},{38,1,10},{0,1,1225},{0,1,1225},{47,1,65535},{28,1,33179},{26,1,18917},{10,1,12588},{47,1,62997},{26,1,21996},{24,1,5521},{8,1,36},{4,1,39403},{0,17,2452},{5,1,1411},{21,1,1058},{21,1,914},{7,1,274},{35,1,2017},{23,1,939},{9,1,585},{26,1,0},{1,35,2017},{26,1,0},{29,1,14809},{29,1,14809},{29,1,14809},
{31,1,10801},{47,1,12162},{14,1,6117},{14,1,6117},{8,1,50},{20,1,7322},{0,1,1241},{21,1,914},{21,1,914},{21,1,914},{7,1,274},{35,5,1513},{9,1,585},{9,1,585},{26,1,0},{27,1,1513},{26,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{47,0,9250},{47,0,9250},{47,0,9250},{47,0,9250},{12,1,3690},
{12,1,3690},{12,1,3690},{8,1,50},{0,1,1241},{0,1,1241},{45,1,65535},{14,1,33274},{42,1,19608},{42,1,13375},{47,1,62627},{42,1,22211},{10,1,6045},{24,1,138},{36,1,39015},{0,1,1732},{35,1,1048},{5,1,766},{5,1,666},{37,1,212},{3,3,1473},{7,1,675},{23,1,410},{14,1,1},{3,3,1473},{14,1,1},{13,1,14121},{13,1,14121},{13,1,14121},{45,1,10571},{45,1,11434},{30,1,6081},{30,1,6081},
{40,1,137},{36,1,6926},{2,1,1445},{5,1,666},{5,1,666},{5,1,666},{37,1,212},{35,3,1105},{23,1,410},{23,1,410},{14,1,1},{25,1,1105},{14,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{15,0,9256},{15,0,9256},{15,0,9256},{15,0,9256},{14,1,3985},{14,1,3985},{14,1,3985},{40,1,137},{2,1,1445},
{2,1,1445},
/**** ended inlining basisu_transcoder_tables_astc.inc ****/
};
// The best selector mapping to use given a base base+inten table and used selector range for converting grayscale data.
static uint8_t g_etc1_to_astc_best_grayscale_mapping[32][8][NUM_ETC1_TO_ASTC_SELECTOR_RANGES];
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
static const etc1_to_astc_solution g_etc1_to_astc_0_255[32 * 8 * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS * NUM_ETC1_TO_ASTC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_astc_0_255.inc ****/
{0,16,18},{0,12,1},{0,8,0},{0,7,5},{0,10,35},{0,6,21},{0,6,9},{0,4,24},{1,4,36},{0,4,25},{0,16,18},{0,12,1},{0,8,0},{0,7,5},{5,0,35},{0,6,21},{0,6,9},{0,4,24},{10,0,35},{0,4,24},{0,7,0},{0,7,0},{0,7,0},{0,3,0},{0,4,2},{0,3,0},{0,3,0},{0,1,1},{0,2,2},{0,1,1},{0,7,0},
{0,7,0},{0,7,0},{0,3,0},{2,0,2},{0,3,0},{0,3,0},{0,1,1},{4,0,2},{0,1,1},{8,0,18},{0,12,1},{0,8,0},{0,7,5},{8,0,18},{16,0,18},{0,7,5},{0,5,18},{16,0,18},{0,5,18},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,34,36},{3,23,19},{4,17,25},
{3,16,19},{0,34,51},{0,20,18},{0,16,1},{0,13,22},{0,15,68},{0,12,33},{6,28,18},{6,21,0},{6,16,1},{5,15,3},{17,0,51},{1,19,18},{2,15,1},{0,13,22},{34,0,51},{0,13,22},{3,25,18},{3,25,18},{3,25,18},{3,14,18},{0,25,8},{0,16,1},{0,16,1},{0,10,0},{0,12,17},{0,9,5},{6,19,0},{6,19,0},{6,19,0},{6,12,0},{12,0,8},
{4,13,0},{4,13,0},{0,10,0},{25,0,8},{0,10,0},{20,0,18},{6,21,0},{8,16,0},{0,16,0},{20,0,18},{40,0,18},{0,16,0},{0,13,18},{40,0,18},{0,13,18},{3,0,18},{3,0,18},{3,0,18},{3,0,18},{0,19,0},{0,19,0},{0,19,0},{0,9,0},{0,9,4},{0,9,4},{11,42,36},{11,31,19},{12,24,24},{11,24,19},{8,42,51},{8,28,18},{8,24,1},
{7,20,22},{0,27,52},{2,21,18},{14,36,18},{14,29,0},{14,24,1},{13,23,3},{29,0,51},{9,27,18},{10,23,1},{0,21,18},{58,0,51},{0,21,18},{11,33,18},{11,33,18},{11,33,18},{11,22,18},{8,33,8},{8,24,1},{8,24,1},{8,18,0},{2,23,8},{4,18,1},{14,26,0},{14,26,0},{14,26,0},{14,20,0},{24,0,8},{11,22,0},{11,22,0},{6,18,0},{49,0,8},
{6,18,0},{32,0,18},{14,29,0},{15,24,0},{6,24,0},{32,0,18},{64,0,18},{6,24,0},{0,21,18},{64,0,18},{0,21,18},{11,0,18},{11,0,18},{11,0,18},{11,0,18},{8,27,0},{8,27,0},{8,27,0},{8,17,0},{4,19,0},{4,19,0},{19,50,36},{19,39,19},{20,32,24},{19,32,19},{16,50,51},{16,36,18},{16,32,1},{15,28,22},{7,37,51},{10,29,18},{22,43,18},
{22,36,1},{22,32,1},{21,31,3},{41,0,51},{17,35,18},{18,31,1},{8,29,18},{82,0,51},{8,29,18},{19,41,18},{19,41,18},{19,41,18},{19,30,18},{16,41,8},{16,31,1},{16,31,1},{16,26,0},{10,31,8},{12,26,1},{22,34,0},{22,34,0},{22,34,0},{22,28,0},{36,0,8},{18,30,0},{18,30,0},{14,26,0},{73,0,8},{14,26,0},{43,0,18},{20,38,0},{23,32,0},
{14,32,0},{43,0,18},{89,0,18},{14,32,0},{0,29,18},{89,0,18},{0,29,18},{19,0,18},{19,0,18},{19,0,18},{19,0,18},{16,35,0},{16,35,0},{16,35,0},{16,25,0},{12,27,0},{12,27,0},{28,59,36},{28,48,19},{29,41,24},{28,41,19},{25,59,51},{25,45,18},{25,41,1},{24,37,22},{16,46,51},{19,38,18},{31,52,18},{31,45,1},{31,41,1},{30,40,3},{54,0,51},
{24,45,18},{27,40,1},{17,38,18},{110,0,51},{17,38,18},{28,49,18},{28,49,18},{28,49,18},{28,39,18},{25,49,8},{25,40,1},{25,40,1},{25,35,0},{19,40,8},{20,35,1},{31,43,0},{31,43,0},{31,43,0},{31,37,0},{49,0,8},{27,39,0},{27,39,0},{23,35,0},{101,0,8},{23,35,0},{57,0,18},{29,47,0},{32,41,0},{23,41,0},{57,0,18},{116,0,18},{23,41,0},
{0,38,18},{116,0,18},{0,38,18},{28,0,18},{28,0,18},{28,0,18},{28,0,18},{25,43,0},{25,43,0},{25,43,0},{25,34,0},{19,37,0},{19,37,0},{36,66,36},{36,56,19},{37,49,24},{36,49,19},{33,66,51},{33,53,18},{33,49,1},{32,45,22},{23,54,51},{27,46,18},{39,60,18},{39,53,1},{39,49,1},{38,48,3},{66,0,51},{32,53,18},{35,48,1},{25,46,18},{134,0,51},
{25,46,18},{36,57,18},{36,57,18},{36,57,18},{36,47,18},{33,57,8},{33,48,1},{33,48,1},{33,43,0},{25,49,8},{28,43,1},{39,51,0},{39,51,0},{39,51,0},{39,45,0},{61,0,8},{35,47,0},{35,47,0},{31,43,0},{125,0,8},{31,43,0},{69,0,18},{37,55,0},{40,49,0},{31,49,0},{69,0,18},{140,0,18},{31,49,0},{0,46,18},{140,0,18},{0,46,18},{36,0,18},
{36,0,18},{36,0,18},{36,0,18},{33,51,0},{33,51,0},{33,51,0},{33,42,0},{27,45,0},{27,45,0},{44,74,36},{44,64,19},{45,57,24},{44,57,19},{41,74,51},{41,61,18},{41,57,1},{40,53,22},{31,62,51},{35,54,18},{47,68,18},{47,61,1},{47,57,1},{46,56,3},{78,0,51},{40,61,18},{43,56,1},{33,54,18},{158,0,51},{33,54,18},{44,65,18},{44,65,18},{44,65,18},
{44,55,18},{41,65,8},{41,56,1},{41,56,1},{41,51,0},{33,57,8},{36,51,1},{47,59,0},{47,59,0},{47,59,0},{47,53,0},{73,0,8},{43,55,0},{43,55,0},{39,51,0},{149,0,8},{39,51,0},{81,0,18},{45,63,0},{48,57,0},{39,57,0},{81,0,18},{164,0,18},{39,57,0},{0,54,18},{164,0,18},{0,54,18},{44,0,18},{44,0,18},{44,0,18},{44,0,18},{41,59,0},
{41,59,0},{41,59,0},{41,50,0},{35,53,0},{35,53,0},{52,82,36},{52,71,19},{53,65,24},{52,65,19},{49,82,51},{49,68,18},{49,65,1},{48,61,22},{39,70,51},{43,62,18},{55,76,18},{55,69,1},{55,65,1},{54,64,3},{89,0,51},{49,68,18},{51,64,1},{41,62,18},{183,0,51},{41,62,18},{52,73,18},{52,73,18},{52,73,18},{52,63,18},{49,73,8},{49,64,1},{49,64,1},
{49,59,0},{42,64,8},{44,59,1},{55,67,0},{55,67,0},{55,67,0},{55,61,0},{85,0,8},{51,63,0},{51,63,0},{47,59,0},{174,0,8},{47,59,0},{92,0,18},{54,70,0},{56,65,0},{47,65,0},{92,0,18},{189,0,18},{47,65,0},{0,62,18},{189,0,18},{0,62,18},{52,0,18},{52,0,18},{52,0,18},{52,0,18},{49,67,0},{49,67,0},{49,67,0},{49,58,0},{43,61,0},
{43,61,0},{61,91,36},{61,80,19},{62,74,24},{61,73,20},{58,91,51},{58,77,18},{58,73,2},{57,70,22},{48,79,51},{50,71,19},{64,85,18},{64,77,1},{64,74,1},{63,73,3},{103,0,51},{58,77,18},{59,74,1},{49,71,18},{210,0,51},{49,71,18},{61,82,18},{61,82,18},{61,82,18},{61,72,18},{58,82,8},{58,73,1},{58,73,1},{58,68,0},{51,73,8},{53,68,1},{64,76,0},
{64,76,0},{64,76,0},{64,70,0},{98,0,8},{60,72,0},{60,72,0},{56,68,0},{201,0,8},{56,68,0},{106,0,18},{63,79,0},{65,74,0},{55,74,0},{106,0,18},{216,0,18},{55,74,0},{0,71,18},{216,0,18},{0,71,18},{61,0,18},{61,0,18},{61,0,18},{61,0,18},{58,76,0},{58,76,0},{58,76,0},{58,67,0},{53,69,0},{53,69,0},{69,99,36},{69,88,19},{70,82,24},
{69,81,20},{66,99,51},{66,85,18},{66,81,2},{65,79,23},{56,87,51},{58,79,19},{72,93,18},{72,85,1},{72,82,1},{72,80,5},{115,0,51},{66,85,18},{67,82,1},{57,79,18},{234,0,51},{57,79,18},{69,90,18},{69,90,18},{69,90,18},{69,79,18},{66,90,8},{66,81,1},{66,81,1},{66,75,1},{59,81,8},{61,76,1},{72,84,0},{72,84,0},{72,84,0},{72,78,0},{110,0,8},
{69,79,0},{69,79,0},{63,76,0},{225,0,8},{63,76,0},{118,0,18},{71,87,0},{73,82,0},{63,82,0},{118,0,18},{240,0,18},{63,82,0},{0,79,18},{240,0,18},{0,79,18},{69,0,18},{69,0,18},{69,0,18},{69,0,18},{66,84,0},{66,84,0},{66,84,0},{66,75,0},{61,77,0},{61,77,0},{77,107,36},{77,96,19},{78,90,24},{77,89,20},{74,107,51},{74,93,18},{74,89,2},
{73,87,23},{64,95,51},{66,87,19},{80,101,18},{80,93,1},{80,90,1},{80,88,5},{127,0,51},{74,93,18},{75,90,1},{65,87,18},{254,2,51},{65,87,18},{77,98,18},{77,98,18},{77,98,18},{77,87,18},{74,98,8},{74,89,1},{74,89,1},{74,83,1},{67,89,8},{69,84,1},{80,92,0},{80,92,0},{80,92,0},{80,86,0},{122,0,8},{77,87,0},{77,87,0},{71,84,0},{249,0,8},
{71,84,0},{129,0,18},{79,95,0},{81,90,0},{71,90,0},{129,0,18},{254,5,18},{71,90,0},{0,87,18},{254,5,18},{0,87,18},{77,0,18},{77,0,18},{77,0,18},{77,0,18},{74,92,0},{74,92,0},{74,92,0},{74,83,0},{69,85,0},{69,85,0},{85,115,36},{85,104,19},{86,98,24},{85,97,20},{82,115,51},{82,101,18},{82,97,2},{81,95,23},{72,103,51},{74,95,19},{88,109,18},
{88,101,1},{88,98,1},{88,96,5},{138,0,51},{82,101,18},{83,98,1},{73,95,18},{254,14,51},{73,95,18},{85,106,18},{85,106,18},{85,106,18},{85,95,18},{82,106,8},{82,97,1},{82,97,1},{82,91,1},{75,97,8},{77,92,1},{88,100,0},{88,100,0},{88,100,0},{88,94,0},{134,0,8},{85,95,0},{85,95,0},{79,92,0},{255,9,8},{79,92,0},{141,0,18},{87,103,0},{89,98,0},
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{61,255,0},{147,255,15490},{147,255,15490},{147,255,15490},{131,255,10946},{129,255,12826},{101,255,6125},{101,255,6125},{56,255,4},{25,255,7705},{0,254,1171},{211,255,1202},{211,255,1202},{211,255,1202},{198,255,360},{255,155,1985},{180,255,745},{180,255,745},{61,255,0},{254,207,1985},{61,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{124,0,9248},
{124,0,9248},{124,0,9248},{124,0,9248},{89,255,3393},{89,255,3393},{89,255,3393},{56,255,4},{0,254,1170},{0,254,1170},{132,255,65535},{101,255,32957},{86,255,19017},{82,255,12610},{129,255,62977},{89,255,22061},{73,255,5530},{64,255,31},{34,255,39178},{0,251,2372},{224,255,1376},{218,255,1044},{218,255,900},{204,255,272},{255,198,2017},{198,255,937},{189,255,562},{86,255,0},{255,227,2017},{86,255,0},{153,255,14754},{153,255,14754},{153,255,14754},
{137,255,10742},{135,255,12066},{107,255,6089},{107,255,6089},{67,255,45},{37,255,7233},{1,255,1184},{218,255,900},{218,255,900},{218,255,900},{204,255,272},{255,167,1513},{189,255,562},{189,255,562},{86,255,0},{253,213,1513},{86,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{132,0,9248},{132,0,9248},{132,0,9248},{132,0,9248},{98,255,3656},
{98,255,3656},{98,255,3656},{67,255,45},{1,255,1184},{1,255,1184},{138,255,65535},{107,255,33448},{95,255,19729},{89,255,13446},{135,255,62717},{95,255,22307},{79,255,6021},{73,255,105},{40,255,38959},{0,254,1627},{230,255,996},{224,255,756},{221,255,653},{213,255,194},{255,204,1473},{207,255,675},{198,255,405},{110,255,0},{255,230,1473},{110,255,0},{162,255,14060},{162,255,14060},{162,255,14060},{146,255,10545},{141,255,11378},{116,255,6077},{116,255,6077},
{76,255,137},{40,255,6873},{7,255,1412},{221,255,653},{221,255,653},{221,255,653},{213,255,194},{255,180,1105},{198,255,405},{198,255,405},{110,255,0},{255,218,1105},{110,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{140,0,9248},{140,0,9248},{140,0,9248},{140,0,9248},{107,255,3929},{107,255,3929},{107,255,3929},{76,255,137},{7,255,1412},
{7,255,1412},
/**** ended inlining basisu_transcoder_tables_astc_0_255.inc ****/
};
static uint8_t g_etc1_to_astc_best_grayscale_mapping_0_255[32][8][NUM_ETC1_TO_ASTC_SELECTOR_RANGES];
#endif
static uint32_t g_ise_to_unquant[48];
#if BASISD_WRITE_NEW_ASTC_TABLES
static void create_etc1_to_astc_conversion_table_0_47()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_astc.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_astc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_astc_selector_ranges[sr].m_high;
uint32_t mapping_best_low[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t mapping_best_high[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t mapping_best_err[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t highest_best_err = 0;
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 47; hi++)
{
for (uint32_t lo = 0; lo <= 47; lo++)
{
uint32_t colors[4];
for (uint32_t s = 0; s < 4; s++)
{
uint32_t s_scaled = s | (s << 2) | (s << 4);
if (s_scaled > 32)
s_scaled++;
uint32_t c0 = g_ise_to_unquant[lo] | (g_ise_to_unquant[lo] << 8);
uint32_t c1 = g_ise_to_unquant[hi] | (g_ise_to_unquant[hi] << 8);
colors[s] = ((c0 * (64 - s_scaled) + c1 * s_scaled + 32) / 64) >> 8;
}
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_astc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 8;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
mapping_best_low[m] = best_lo;
mapping_best_high[m] = best_hi;
mapping_best_err[m] = best_err;
highest_best_err = basisu::maximum(highest_best_err, best_err);
} // m
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint64_t err = mapping_best_err[m];
err = basisu::minimum<uint64_t>(err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", mapping_best_low[m], mapping_best_high[m], (uint32_t)err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
static void create_etc1_to_astc_conversion_table_0_255()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_astc_0_255.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_astc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_astc_selector_ranges[sr].m_high;
uint32_t mapping_best_low[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t mapping_best_high[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t mapping_best_err[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t highest_best_err = 0;
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 255; hi++)
{
for (uint32_t lo = 0; lo <= 255; lo++)
{
uint32_t colors[4];
for (uint32_t s = 0; s < 4; s++)
{
uint32_t s_scaled = s | (s << 2) | (s << 4);
if (s_scaled > 32)
s_scaled++;
uint32_t c0 = lo | (lo << 8);
uint32_t c1 = hi | (hi << 8);
colors[s] = ((c0 * (64 - s_scaled) + c1 * s_scaled + 32) / 64) >> 8;
}
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_astc_selector_mappings[m][s]];
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
int err_scale = 1;
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 8;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
mapping_best_low[m] = best_lo;
mapping_best_high[m] = best_hi;
mapping_best_err[m] = best_err;
highest_best_err = basisu::maximum(highest_best_err, best_err);
} // m
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint64_t err = mapping_best_err[m];
err = basisu::minimum<uint64_t>(err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", mapping_best_low[m], mapping_best_high[m], (uint32_t)err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
#endif
#endif
#if BASISD_SUPPORT_UASTC || BASISD_SUPPORT_ASTC
// Table encodes 5 trits to 8 output bits. 3^5 entries.
// Inverse of the trit bit manipulation process in https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-integer-sequence-encoding
static const uint8_t g_astc_trit_encode[243] = { 0, 1, 2, 4, 5, 6, 8, 9, 10, 16, 17, 18, 20, 21, 22, 24, 25, 26, 3, 7, 11, 19, 23, 27, 12, 13, 14, 32, 33, 34, 36, 37, 38, 40, 41, 42, 48, 49, 50, 52, 53, 54, 56, 57, 58, 35, 39,
43, 51, 55, 59, 44, 45, 46, 64, 65, 66, 68, 69, 70, 72, 73, 74, 80, 81, 82, 84, 85, 86, 88, 89, 90, 67, 71, 75, 83, 87, 91, 76, 77, 78, 128, 129, 130, 132, 133, 134, 136, 137, 138, 144, 145, 146, 148, 149, 150, 152, 153, 154,
131, 135, 139, 147, 151, 155, 140, 141, 142, 160, 161, 162, 164, 165, 166, 168, 169, 170, 176, 177, 178, 180, 181, 182, 184, 185, 186, 163, 167, 171, 179, 183, 187, 172, 173, 174, 192, 193, 194, 196, 197, 198, 200, 201, 202,
208, 209, 210, 212, 213, 214, 216, 217, 218, 195, 199, 203, 211, 215, 219, 204, 205, 206, 96, 97, 98, 100, 101, 102, 104, 105, 106, 112, 113, 114, 116, 117, 118, 120, 121, 122, 99, 103, 107, 115, 119, 123, 108, 109, 110, 224,
225, 226, 228, 229, 230, 232, 233, 234, 240, 241, 242, 244, 245, 246, 248, 249, 250, 227, 231, 235, 243, 247, 251, 236, 237, 238, 28, 29, 30, 60, 61, 62, 92, 93, 94, 156, 157, 158, 188, 189, 190, 220, 221, 222, 31, 63, 95, 159,
191, 223, 124, 125, 126 };
// Extracts bits [low,high]
static inline uint32_t astc_extract_bits(uint32_t bits, int low, int high)
{
return (bits >> low) & ((1 << (high - low + 1)) - 1);
}
// Writes bits to output in an endian safe way
static inline void astc_set_bits(uint32_t* pOutput, int& bit_pos, uint32_t value, uint32_t total_bits)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
while (total_bits)
{
const uint32_t bits_to_write = basisu::minimum<int>(total_bits, 8 - (bit_pos & 7));
pBytes[bit_pos >> 3] |= static_cast<uint8_t>(value << (bit_pos & 7));
bit_pos += bits_to_write;
total_bits -= bits_to_write;
value >>= bits_to_write;
}
}
// Encodes 5 values to output, usable for any range that uses trits and bits
static void astc_encode_trits(uint32_t* pOutput, const uint8_t* pValues, int& bit_pos, int n)
{
// First extract the trits and the bits from the 5 input values
int trits = 0, bits[5];
const uint32_t bit_mask = (1 << n) - 1;
for (int i = 0; i < 5; i++)
{
static const int s_muls[5] = { 1, 3, 9, 27, 81 };
const int t = pValues[i] >> n;
trits += t * s_muls[i];
bits[i] = pValues[i] & bit_mask;
}
// Encode the trits, by inverting the bit manipulations done by the decoder, converting 5 trits into 8-bits.
// See https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-integer-sequence-encoding
assert(trits < 243);
const int T = g_astc_trit_encode[trits];
// Now interleave the 8 encoded trit bits with the bits to form the encoded output. See table 94.
astc_set_bits(pOutput, bit_pos, bits[0] | (astc_extract_bits(T, 0, 1) << n) | (bits[1] << (2 + n)), n * 2 + 2);
astc_set_bits(pOutput, bit_pos, astc_extract_bits(T, 2, 3) | (bits[2] << 2) | (astc_extract_bits(T, 4, 4) << (2 + n)) | (bits[3] << (3 + n)) | (astc_extract_bits(T, 5, 6) << (3 + n * 2)) |
(bits[4] << (5 + n * 2)) | (astc_extract_bits(T, 7, 7) << (5 + n * 3)), n * 3 + 6);
}
#endif // #if BASISD_SUPPORT_UASTC || BASISD_SUPPORT_ASTC
#if BASISD_SUPPORT_ASTC
struct astc_block_params
{
// 2 groups of 5, but only a max of 8 are used (RRGGBBAA00)
uint8_t m_endpoints[10];
uint8_t m_weights[32];
};
// Packs a single format ASTC block using Color Endpoint Mode 12 (LDR RGBA direct), endpoint BISE range 13, 2-bit weights (range 2).
// We're always going to output blocks containing alpha, even if the input doesn't have alpha, for simplicity.
// Each block always has 4x4 weights, uses range 13 BISE encoding on the endpoints (0-47), and each weight ranges from 0-3. This encoding should be roughly equal in quality vs. BC1 for color.
// 8 total endpoints, stored as RGBA LH LH LH LH order, each ranging from 0-47.
// Note the input [0,47] endpoint values are not linear - they are encoded as outlined in the ASTC spec:
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-endpoint-unquantization
// 32 total weights, stored as 16 CA CA, each ranging from 0-3.
static void astc_pack_block_cem_12_weight_range2(uint32_t *pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x42; pBytes[1] = 0x84; pBytes[2] = 0x01; pBytes[3] = 0x00;
pBytes[4] = 0x00; pBytes[5] = 0x00; pBytes[6] = 0x00; pBytes[7] = 0xc0;
pOutput[2] = 0;
pOutput[3] = 0;
// Pack 8 endpoints (each ranging between [0,47]) using BISE starting at bit 17
int bit_pos = 17;
astc_encode_trits(pOutput, pBlock->m_endpoints, bit_pos, 4);
astc_encode_trits(pOutput, pBlock->m_endpoints + 5, bit_pos, 4);
// Pack 32 2-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 32; i++)
{
static const uint8_t s_reverse_bits[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 126 - (i * 2);
pBytes[ofs >> 3] |= (s_reverse_bits[pBlock->m_weights[i]] << (ofs & 7));
}
}
// CEM mode 12 (LDR RGBA Direct), 8-bit endpoints, 1-bit weights
// This ASTC mode is basically block truncation coding (BTC) using 1-bit weights and 8-bit/component endpoints - very convenient.
static void astc_pack_block_cem_12_weight_range0(uint32_t* pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x41; pBytes[1] = 0x84; pBytes[2] = 0x01; pBytes[3] = 0x00;
pOutput[1] = 0;
pBytes[8] = 0x00; pBytes[9] = 0x00; pBytes[10] = 0x00; pBytes[11] = 0xc0;
pOutput[3] = 0;
// Pack 8 endpoints (each ranging between [0,255]) as 8-bits starting at bit 17
int bit_pos = 17;
for (uint32_t i = 0; i < 8; i++)
astc_set_bits(pOutput, bit_pos, pBlock->m_endpoints[i], 8);
// Pack 32 1-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 32; i++)
{
const uint32_t ofs = 127 - i;
pBytes[ofs >> 3] |= (pBlock->m_weights[i] << (ofs & 7));
}
}
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
// Optional 8-bit endpoint packing functions.
// CEM mode 4 (LDR Luminance+Alpha Direct), 8-bit endpoints, 2 bit weights
static void astc_pack_block_cem_4_weight_range2(uint32_t* pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x42; pBytes[1] = 0x84; pBytes[2] = 0x00; pBytes[3] = 0x00;
pBytes[4] = 0x00; pBytes[5] = 0x00; pBytes[6] = 0x00; pBytes[7] = 0xc0;
pOutput[2] = 0;
pOutput[3] = 0;
// Pack 4 endpoints (each ranging between [0,255]) as 8-bits starting at bit 17
int bit_pos = 17;
for (uint32_t i = 0; i < 4; i++)
astc_set_bits(pOutput, bit_pos, pBlock->m_endpoints[i], 8);
// Pack 32 2-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 32; i++)
{
static const uint8_t s_reverse_bits[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 126 - (i * 2);
pBytes[ofs >> 3] |= (s_reverse_bits[pBlock->m_weights[i]] << (ofs & 7));
}
}
// CEM mode 8 (LDR RGB Direct), 8-bit endpoints, 2 bit weights
static void astc_pack_block_cem_8_weight_range2(uint32_t* pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x42; pBytes[1] = 0x00; pBytes[2] = 0x01; pBytes[3] = 0x00;
pOutput[1] = 0;
pOutput[2] = 0;
pOutput[3] = 0;
// Pack 6 endpoints (each ranging between [0,255]) as 8-bits starting at bit 17
int bit_pos = 17;
for (uint32_t i = 0; i < 6; i++)
astc_set_bits(pOutput, bit_pos, pBlock->m_endpoints[i], 8);
// Pack 16 2-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 16; i++)
{
static const uint8_t s_reverse_bits[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 126 - (i * 2);
pBytes[ofs >> 3] |= (s_reverse_bits[pBlock->m_weights[i]] << (ofs & 7));
}
}
#endif
// Optimal quantized [0,47] entry to use given [0,255] input
static uint8_t g_astc_single_color_encoding_0[256];
// Optimal quantized [0,47] low/high values given [0,255] input assuming a selector of 1
static struct
{
uint8_t m_lo, m_hi;
} g_astc_single_color_encoding_1[256];
static void transcoder_init_astc()
{
for (uint32_t base_color = 0; base_color < 32; base_color++)
{
for (uint32_t inten_table = 0; inten_table < 8; inten_table++)
{
for (uint32_t range_index = 0; range_index < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; range_index++)
{
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc[(inten_table * 32 + base_color) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + range_index * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_mapping = 0;
uint32_t best_err = UINT32_MAX;
for (uint32_t mapping_index = 0; mapping_index < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; mapping_index++)
{
if (pTable_g[mapping_index].m_err < best_err)
{
best_err = pTable_g[mapping_index].m_err;
best_mapping = mapping_index;
}
}
g_etc1_to_astc_best_grayscale_mapping[base_color][inten_table][range_index] = static_cast<uint8_t>(best_mapping);
}
}
}
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
for (uint32_t base_color = 0; base_color < 32; base_color++)
{
for (uint32_t inten_table = 0; inten_table < 8; inten_table++)
{
for (uint32_t range_index = 0; range_index < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; range_index++)
{
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + range_index * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_mapping = 0;
uint32_t best_err = UINT32_MAX;
for (uint32_t mapping_index = 0; mapping_index < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; mapping_index++)
{
if (pTable_g[mapping_index].m_err < best_err)
{
best_err = pTable_g[mapping_index].m_err;
best_mapping = mapping_index;
}
}
g_etc1_to_astc_best_grayscale_mapping_0_255[base_color][inten_table][range_index] = static_cast<uint8_t>(best_mapping);
}
}
}
#endif
for (uint32_t i = 0; i < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_astc_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_astc_selector_ranges[i].m_high;
g_etc1_to_astc_selector_range_index[l][h] = i;
}
// Endpoint dequantization, see:
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-endpoint-unquantization
for (uint32_t trit = 0; trit < 3; trit++)
{
for (uint32_t bit = 0; bit < 16; bit++)
{
const uint32_t A = (bit & 1) ? 511 : 0;
const uint32_t B = (bit >> 1) | ((bit >> 1) << 6);
const uint32_t C = 22;
const uint32_t D = trit;
uint32_t unq = D * C + B;
unq = unq ^ A;
unq = (A & 0x80) | (unq >> 2);
g_ise_to_unquant[bit | (trit << 4)] = unq;
}
}
// Compute table used for optimal single color encoding.
for (int i = 0; i < 256; i++)
{
int lowest_e = INT_MAX;
for (int lo = 0; lo < 48; lo++)
{
for (int hi = 0; hi < 48; hi++)
{
const int lo_v = g_ise_to_unquant[lo];
const int hi_v = g_ise_to_unquant[hi];
int l = lo_v | (lo_v << 8);
int h = hi_v | (hi_v << 8);
int v = ((l * (64 - 21) + (h * 21) + 32) / 64) >> 8;
int e = abs(v - i);
if (e < lowest_e)
{
g_astc_single_color_encoding_1[i].m_hi = static_cast<uint8_t>(hi);
g_astc_single_color_encoding_1[i].m_lo = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // hi
} // lo
}
for (int i = 0; i < 256; i++)
{
int lowest_e = INT_MAX;
for (int lo = 0; lo < 48; lo++)
{
const int lo_v = g_ise_to_unquant[lo];
int e = abs(lo_v - i);
if (e < lowest_e)
{
g_astc_single_color_encoding_0[i] = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // lo
}
}
// Converts opaque or color+alpha ETC1S block to ASTC 4x4.
// This function tries to use the best ASTC mode given the block's actual contents.
static void convert_etc1s_to_astc_4x4(void* pDst_block, const endpoint* pEndpoints, const selector* pSelector,
bool transcode_alpha, const endpoint *pEndpoint_codebook, const selector *pSelector_codebook)
{
astc_block_params blk;
blk.m_endpoints[8] = 0;
blk.m_endpoints[9] = 0;
int constant_alpha_val = 255;
int num_unique_alpha_selectors = 1;
if (transcode_alpha)
{
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
num_unique_alpha_selectors = alpha_selectors.m_num_unique_selectors;
if (num_unique_alpha_selectors == 1)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
constant_alpha_val = alpha_block_colors[alpha_selectors.m_lo_selector];
}
}
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
// Handle solid color or BTC blocks, which can always be encoded from ETC1S to ASTC losslessly.
if ((pSelector->m_num_unique_selectors == 1) && (num_unique_alpha_selectors == 1))
{
// Both color and alpha are constant, write a solid color block and exit.
// See https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-void-extent-blocks
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
uint32_t* pOutput = static_cast<uint32_t*>(pDst_block);
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pDst_block);
pBytes[0] = 0xfc; pBytes[1] = 0xfd; pBytes[2] = 0xff; pBytes[3] = 0xff;
pOutput[1] = 0xffffffff;
pOutput[2] = 0;
pOutput[3] = 0;
int bit_pos = 64;
astc_set_bits(pOutput, bit_pos, r | (r << 8), 16);
astc_set_bits(pOutput, bit_pos, g | (g << 8), 16);
astc_set_bits(pOutput, bit_pos, b | (b << 8), 16);
astc_set_bits(pOutput, bit_pos, constant_alpha_val | (constant_alpha_val << 8), 16);
return;
}
else if ((pSelector->m_num_unique_selectors <= 2) && (num_unique_alpha_selectors <= 2))
{
// Both color and alpha use <= 2 unique selectors each.
// Use block truncation coding, which is lossless with ASTC (8-bit endpoints, 1-bit weights).
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
blk.m_endpoints[0] = block_colors[low_selector].r;
blk.m_endpoints[2] = block_colors[low_selector].g;
blk.m_endpoints[4] = block_colors[low_selector].b;
blk.m_endpoints[1] = block_colors[high_selector].r;
blk.m_endpoints[3] = block_colors[high_selector].g;
blk.m_endpoints[5] = block_colors[high_selector].b;
int s0 = blk.m_endpoints[0] + blk.m_endpoints[2] + blk.m_endpoints[4];
int s1 = blk.m_endpoints[1] + blk.m_endpoints[3] + blk.m_endpoints[5];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
if (transcode_alpha)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
const uint32_t alpha_low_selector = alpha_selectors.m_lo_selector;
const uint32_t alpha_high_selector = alpha_selectors.m_hi_selector;
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
blk.m_endpoints[6] = static_cast<uint8_t>(alpha_block_colors[alpha_low_selector]);
blk.m_endpoints[7] = static_cast<uint8_t>(alpha_block_colors[alpha_high_selector]);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
s = (s == alpha_high_selector) ? 1 : 0;
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(s);
} // x
} // y
}
else
{
blk.m_endpoints[6] = 255;
blk.m_endpoints[7] = 255;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 0;
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
s = (s == high_selector) ? 1 : 0;
if (invert)
s = 1 - s;
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(s);
} // x
} // y
astc_pack_block_cem_12_weight_range0(reinterpret_cast<uint32_t*>(pDst_block), &blk);
return;
}
// Either alpha and/or color use > 2 unique selectors each, so we must do something more complex.
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
// The optional higher quality modes use 8-bits endpoints vs. [0,47] endpoints.
// If the block's base color is grayscale, all pixels are grayscale, so encode the block as Luminance+Alpha.
if ((base_color.r == base_color.g) && (base_color.r == base_color.b))
{
if (transcode_alpha)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
const uint32_t alpha_low_selector = alpha_selectors.m_lo_selector;
const uint32_t alpha_high_selector = alpha_selectors.m_hi_selector;
if (num_unique_alpha_selectors <= 2)
{
// Simple alpha block with only 1 or 2 unique values, so use BTC. This is lossless.
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
blk.m_endpoints[2] = static_cast<uint8_t>(alpha_block_colors[alpha_low_selector]);
blk.m_endpoints[3] = static_cast<uint8_t>(alpha_block_colors[alpha_high_selector]);
for (uint32_t i = 0; i < 16; i++)
{
uint32_t s = alpha_selectors.get_selector(i & 3, i >> 2);
blk.m_weights[i * 2 + 1] = (s == alpha_high_selector) ? 3 : 0;
}
}
else
{
// Convert ETC1S alpha
const uint32_t alpha_selector_range_table = g_etc1_to_astc_selector_range_index[alpha_low_selector][alpha_high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(alpha_inten_table * 32 + alpha_base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + alpha_selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const uint32_t best_mapping = g_etc1_to_astc_best_grayscale_mapping_0_255[alpha_base_color.g][alpha_inten_table][alpha_selector_range_table];
blk.m_endpoints[2] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[3] = pTable_g[best_mapping].m_hi;
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(as);
} // x
} // y
}
}
else
{
// No alpha slice - set output alpha to all 255's
blk.m_endpoints[2] = 255;
blk.m_endpoints[3] = 255;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 0;
}
if (pSelector->m_num_unique_selectors <= 2)
{
// Simple color block with only 1 or 2 unique values, so use BTC. This is lossless.
int block_colors[4];
decoder_etc_block::get_block_colors5_g(block_colors, base_color, inten_table);
blk.m_endpoints[0] = static_cast<uint8_t>(block_colors[low_selector]);
blk.m_endpoints[1] = static_cast<uint8_t>(block_colors[high_selector]);
for (uint32_t i = 0; i < 16; i++)
{
uint32_t s = pSelector->get_selector(i & 3, i >> 2);
blk.m_weights[i * 2] = (s == high_selector) ? 3 : 0;
}
}
else
{
// Convert ETC1S alpha
const uint32_t selector_range_table = g_etc1_to_astc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const uint32_t best_mapping = g_etc1_to_astc_best_grayscale_mapping_0_255[base_color.g][inten_table][selector_range_table];
blk.m_endpoints[0] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[1] = pTable_g[best_mapping].m_hi;
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(as);
} // x
} // y
}
astc_pack_block_cem_4_weight_range2(reinterpret_cast<uint32_t*>(pDst_block), &blk);
return;
}
// The block isn't grayscale and it uses > 2 unique selectors for opaque and/or alpha.
// Check for fully opaque blocks, if so use 8-bit endpoints for slightly higher opaque quality (higher than BC1, but lower than BC7 mode 6 opaque).
if ((num_unique_alpha_selectors == 1) && (constant_alpha_val == 255))
{
// Convert ETC1S color
const uint32_t selector_range_table = g_etc1_to_astc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_r = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.r) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_b = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.b) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
blk.m_endpoints[0] = pTable_r[best_mapping].m_lo;
blk.m_endpoints[1] = pTable_r[best_mapping].m_hi;
blk.m_endpoints[2] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[3] = pTable_g[best_mapping].m_hi;
blk.m_endpoints[4] = pTable_b[best_mapping].m_lo;
blk.m_endpoints[5] = pTable_b[best_mapping].m_hi;
int s0 = blk.m_endpoints[0] + blk.m_endpoints[2] + blk.m_endpoints[4];
int s1 = blk.m_endpoints[1] + blk.m_endpoints[3] + blk.m_endpoints[5];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
if (invert)
as = 3 - as;
blk.m_weights[x + y * 4] = static_cast<uint8_t>(as);
} // x
} // y
// Now pack to ASTC
astc_pack_block_cem_8_weight_range2(reinterpret_cast<uint32_t*>(pDst_block), &blk);
return;
}
#endif //#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
// Nothing else worked, so fall back to CEM Mode 12 (LDR RGBA Direct), [0,47] endpoints, weight range 2 (2-bit weights), dual planes.
// This mode can handle everything, but at slightly less quality than BC1.
if (transcode_alpha)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
const uint32_t alpha_low_selector = alpha_selectors.m_lo_selector;
const uint32_t alpha_high_selector = alpha_selectors.m_hi_selector;
if (alpha_low_selector == alpha_high_selector)
{
// Solid alpha block - use precomputed tables.
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
const uint32_t g = alpha_block_colors[alpha_low_selector];
blk.m_endpoints[6] = g_astc_single_color_encoding_1[g].m_lo;
blk.m_endpoints[7] = g_astc_single_color_encoding_1[g].m_hi;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 1;
}
else if ((alpha_inten_table >= 7) && (alpha_selectors.m_num_unique_selectors == 2) && (alpha_low_selector == 0) && (alpha_high_selector == 3))
{
// Handle outlier case where only the two outer colors are used with inten table 7.
color32 alpha_block_colors[4];
decoder_etc_block::get_block_colors5(alpha_block_colors, alpha_base_color, alpha_inten_table);
const uint32_t g0 = alpha_block_colors[0].g;
const uint32_t g1 = alpha_block_colors[3].g;
blk.m_endpoints[6] = g_astc_single_color_encoding_0[g0];
blk.m_endpoints[7] = g_astc_single_color_encoding_0[g1];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
uint32_t as = (s == alpha_high_selector) ? 3 : 0;
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(as);
} // x
} // y
}
else
{
// Convert ETC1S alpha
const uint32_t alpha_selector_range_table = g_etc1_to_astc_selector_range_index[alpha_low_selector][alpha_high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc[(alpha_inten_table * 32 + alpha_base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + alpha_selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const uint32_t best_mapping = g_etc1_to_astc_best_grayscale_mapping[alpha_base_color.g][alpha_inten_table][alpha_selector_range_table];
blk.m_endpoints[6] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[7] = pTable_g[best_mapping].m_hi;
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(as);
} // x
} // y
}
}
else
{
// No alpha slice - set output alpha to all 255's
// 1 is 255 when dequantized
blk.m_endpoints[6] = 1;
blk.m_endpoints[7] = 1;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 0;
}
if (low_selector == high_selector)
{
// Solid color block - use precomputed tables of optimal endpoints assuming selector weights are all 1.
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r = block_colors[low_selector].r;
const uint32_t g = block_colors[low_selector].g;
const uint32_t b = block_colors[low_selector].b;
blk.m_endpoints[0] = g_astc_single_color_encoding_1[r].m_lo;
blk.m_endpoints[1] = g_astc_single_color_encoding_1[r].m_hi;
blk.m_endpoints[2] = g_astc_single_color_encoding_1[g].m_lo;
blk.m_endpoints[3] = g_astc_single_color_encoding_1[g].m_hi;
blk.m_endpoints[4] = g_astc_single_color_encoding_1[b].m_lo;
blk.m_endpoints[5] = g_astc_single_color_encoding_1[b].m_hi;
int s0 = g_ise_to_unquant[blk.m_endpoints[0]] + g_ise_to_unquant[blk.m_endpoints[2]] + g_ise_to_unquant[blk.m_endpoints[4]];
int s1 = g_ise_to_unquant[blk.m_endpoints[1]] + g_ise_to_unquant[blk.m_endpoints[3]] + g_ise_to_unquant[blk.m_endpoints[5]];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2] = invert ? 2 : 1;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
// Handle outlier case where only the two outer colors are used with inten table 7.
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
blk.m_endpoints[0] = g_astc_single_color_encoding_0[r0];
blk.m_endpoints[1] = g_astc_single_color_encoding_0[r1];
blk.m_endpoints[2] = g_astc_single_color_encoding_0[g0];
blk.m_endpoints[3] = g_astc_single_color_encoding_0[g1];
blk.m_endpoints[4] = g_astc_single_color_encoding_0[b0];
blk.m_endpoints[5] = g_astc_single_color_encoding_0[b1];
int s0 = g_ise_to_unquant[blk.m_endpoints[0]] + g_ise_to_unquant[blk.m_endpoints[2]] + g_ise_to_unquant[blk.m_endpoints[4]];
int s1 = g_ise_to_unquant[blk.m_endpoints[1]] + g_ise_to_unquant[blk.m_endpoints[3]] + g_ise_to_unquant[blk.m_endpoints[5]];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = (s == low_selector) ? 0 : 3;
if (invert)
as = 3 - as;
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(as);
} // x
} // y
}
else
{
// Convert ETC1S color
const uint32_t selector_range_table = g_etc1_to_astc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_r = &g_etc1_to_astc[(inten_table * 32 + base_color.r) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_b = &g_etc1_to_astc[(inten_table * 32 + base_color.b) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
blk.m_endpoints[0] = pTable_r[best_mapping].m_lo;
blk.m_endpoints[1] = pTable_r[best_mapping].m_hi;
blk.m_endpoints[2] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[3] = pTable_g[best_mapping].m_hi;
blk.m_endpoints[4] = pTable_b[best_mapping].m_lo;
blk.m_endpoints[5] = pTable_b[best_mapping].m_hi;
int s0 = g_ise_to_unquant[blk.m_endpoints[0]] + g_ise_to_unquant[blk.m_endpoints[2]] + g_ise_to_unquant[blk.m_endpoints[4]];
int s1 = g_ise_to_unquant[blk.m_endpoints[1]] + g_ise_to_unquant[blk.m_endpoints[3]] + g_ise_to_unquant[blk.m_endpoints[5]];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
if (invert)
as = 3 - as;
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(as);
} // x
} // y
}
// Now pack to ASTC
astc_pack_block_cem_12_weight_range2(reinterpret_cast<uint32_t *>(pDst_block), &blk);
}
#endif
#if BASISD_SUPPORT_ATC
// ATC and PVRTC2 both use these tables.
struct etc1s_to_atc_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
static dxt_selector_range g_etc1s_to_atc_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1S_TO_ATC_SELECTOR_RANGES = sizeof(g_etc1s_to_atc_selector_ranges) / sizeof(g_etc1s_to_atc_selector_ranges[0]);
static uint32_t g_etc1s_to_atc_selector_range_index[4][4];
const uint32_t NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1s_to_atc_selector_mappings[NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 }, //6 - identity
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
const uint32_t ATC_IDENTITY_SELECTOR_MAPPING_INDEX = 6;
#if BASISD_SUPPORT_PVRTC2
static const etc1s_to_atc_solution g_etc1s_to_pvrtc2_45[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_pvrtc2_45.inc ****/
{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{0,1,52},{0,0,68},{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{0,1,43},{0,1,61},{0,1,1},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,2,20},{0,1,18},{0,1,9},{0,1,36},{0,1,18},{0,1,36},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,4,56},{0,3,38},{0,2,52},
{0,2,36},{0,4,56},{0,3,35},{0,2,0},{0,2,52},{0,2,88},{0,1,78},{0,4,56},{0,3,38},{0,2,52},{0,2,36},{1,0,52},{0,3,35},{0,2,0},{0,2,52},{1,1,51},{0,2,52},{0,3,37},{0,3,37},{0,3,37},{0,2,36},{0,3,10},{0,2,0},{0,2,0},{0,1,5},{0,1,35},{0,1,14},{0,3,37},{0,3,37},{0,3,37},{0,2,36},{0,3,10},
{0,2,0},{0,2,0},{0,1,5},{1,0,16},{0,1,5},{1,1,18},{0,3,2},{0,2,16},{0,2,0},{1,1,18},{2,0,20},{0,2,0},{0,2,36},{2,0,20},{0,2,36},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{1,4,88},{1,3,78},{1,3,69},{1,3,77},{1,3,115},{0,4,88},{0,3,98},
{0,3,101},{0,4,72},{0,3,38},{1,4,24},{1,3,14},{1,3,5},{1,3,13},{1,3,51},{0,4,24},{0,3,34},{0,3,37},{3,0,52},{0,3,37},{1,3,69},{1,3,69},{1,3,69},{1,2,72},{1,2,72},{1,2,72},{1,2,72},{1,2,72},{0,3,11},{0,2,24},{1,3,5},{1,3,5},{1,3,5},{1,2,8},{1,2,8},{1,2,8},{1,2,8},{1,2,8},{1,2,8},
{1,2,8},{0,7,18},{1,3,10},{1,3,1},{0,3,9},{0,7,18},{1,3,18},{0,3,9},{0,3,36},{1,3,18},{0,3,36},{1,0,68},{1,0,68},{1,0,68},{1,0,68},{1,1,65},{1,1,65},{1,1,65},{0,3,65},{0,3,2},{0,3,2},{1,6,56},{1,5,38},{1,4,53},{1,4,37},{1,6,56},{1,5,35},{1,4,1},{1,4,66},{0,5,60},{0,4,70},{1,6,56},
{1,5,38},{1,4,53},{1,4,37},{0,9,51},{1,5,35},{1,4,1},{0,4,54},{2,3,51},{0,4,54},{1,5,37},{1,5,37},{1,5,37},{1,4,36},{1,5,10},{1,4,0},{1,4,0},{1,3,5},{0,5,11},{1,3,14},{1,5,37},{1,5,37},{1,5,37},{1,4,36},{0,8,8},{1,4,0},{1,4,0},{1,3,5},{4,0,8},{1,3,5},{2,3,18},{1,5,2},{1,4,17},
{1,4,1},{2,3,18},{4,1,18},{1,4,1},{0,4,50},{4,1,18},{0,4,50},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,4,0},{1,4,0},{1,4,0},{1,3,1},{1,3,10},{1,3,10},{2,6,88},{2,5,78},{2,5,69},{2,5,77},{2,5,115},{2,5,107},{2,5,98},{1,5,117},{1,6,60},{1,5,36},{2,6,24},{2,5,14},{2,5,5},{2,5,13},{3,2,51},
{1,6,35},{2,5,34},{1,5,36},{1,6,51},{1,5,36},{2,5,69},{2,5,69},{2,5,69},{2,4,72},{2,4,72},{2,4,72},{2,4,72},{2,4,72},{1,5,16},{1,5,36},{2,5,5},{2,5,5},{2,5,5},{2,4,8},{3,1,8},{2,4,8},{2,4,8},{2,4,8},{3,3,8},{2,4,8},{3,3,20},{2,5,10},{2,5,1},{2,5,9},{3,3,20},{2,5,18},{2,5,9},
{0,5,36},{2,5,18},{0,5,36},{2,0,68},{2,0,68},{2,0,68},{2,0,68},{2,3,68},{2,3,68},{2,3,68},{2,4,68},{1,5,0},{1,5,0},{2,8,56},{2,7,38},{2,6,52},{2,6,36},{2,8,56},{2,7,35},{2,6,0},{2,6,52},{1,7,76},{1,6,70},{2,8,56},{2,7,38},{2,6,52},{2,6,36},{4,1,51},{2,7,35},{2,6,0},{1,6,45},{3,5,51},
{1,6,45},{2,7,37},{2,7,37},{2,7,37},{2,6,36},{2,7,10},{2,6,0},{2,6,0},{2,5,5},{1,7,12},{2,5,14},{2,7,37},{2,7,37},{2,7,37},{2,6,36},{4,0,8},{2,6,0},{2,6,0},{2,5,5},{1,7,8},{2,5,5},{3,5,18},{2,7,2},{2,6,16},{2,6,0},{3,5,18},{0,9,18},{2,6,0},{0,6,36},{0,9,18},{0,6,36},{2,0,36},
{2,0,36},{2,0,36},{2,0,36},{2,6,0},{2,6,0},{2,6,0},{2,5,1},{1,7,8},{1,7,8},{3,8,88},{3,7,78},{3,7,69},{3,7,77},{3,7,115},{2,8,88},{2,7,98},{2,7,101},{1,9,67},{2,7,38},{3,8,24},{3,7,14},{3,7,5},{3,7,13},{3,7,51},{2,8,24},{2,7,34},{2,7,37},{8,0,51},{2,7,37},{3,7,69},{3,7,69},{3,7,69},
{3,6,72},{3,6,72},{3,6,72},{3,6,72},{3,6,72},{2,7,11},{2,6,24},{3,7,5},{3,7,5},{3,7,5},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{5,1,18},{3,7,10},{3,7,1},{2,7,9},{5,1,18},{3,7,18},{2,7,9},{0,7,36},{3,7,18},{0,7,36},{3,0,68},{3,0,68},{3,0,68},{3,0,68},{3,5,65},
{3,5,65},{3,5,65},{2,7,65},{2,7,2},{2,7,2},{3,10,56},{3,9,38},{3,8,53},{3,8,37},{3,10,56},{3,9,35},{3,8,1},{3,8,66},{2,9,60},{2,8,70},{3,10,56},{3,9,38},{3,8,53},{3,8,37},{5,3,51},{3,9,35},{3,8,1},{2,8,54},{4,7,51},{2,8,54},{3,9,37},{3,9,37},{3,9,37},{3,8,36},{3,9,10},{3,8,0},{3,8,0},
{3,7,5},{2,9,11},{3,7,14},{3,9,37},{3,9,37},{3,9,37},{3,8,36},{5,2,8},{3,8,0},{3,8,0},{3,7,5},{8,1,8},{3,7,5},{4,7,18},{3,9,2},{3,8,17},{3,8,1},{4,7,18},{8,2,18},{3,8,1},{0,8,50},{8,2,18},{0,8,50},{3,0,36},{3,0,36},{3,0,36},{3,0,36},{3,8,0},{3,8,0},{3,8,0},{3,7,1},{3,7,10},
{3,7,10},{4,10,88},{4,9,78},{4,9,69},{4,9,77},{4,9,115},{4,9,107},{4,9,98},{3,9,117},{3,10,60},{3,9,36},{4,10,24},{4,9,14},{4,9,5},{4,9,13},{5,6,51},{3,10,35},{4,9,34},{3,9,36},{10,1,51},{3,9,36},{4,9,69},{4,9,69},{4,9,69},{4,8,72},{4,8,72},{4,8,72},{4,8,72},{4,8,72},{3,9,16},{3,9,36},{4,9,5},
{4,9,5},{4,9,5},{4,8,8},{5,5,8},{4,8,8},{4,8,8},{4,8,8},{5,7,8},{4,8,8},{7,0,18},{4,9,10},{4,9,1},{4,9,9},{7,0,18},{4,9,18},{4,9,9},{0,9,36},{4,9,18},{0,9,36},{4,0,68},{4,0,68},{4,0,68},{4,0,68},{4,7,68},{4,7,68},{4,7,68},{4,8,68},{3,9,0},{3,9,0},{4,12,56},{4,11,38},{4,10,52},
{4,10,36},{4,12,56},{4,11,35},{4,10,0},{4,10,52},{3,11,76},{3,10,70},{4,12,56},{4,11,38},{4,10,52},{4,10,36},{7,2,51},{4,11,35},{4,10,0},{3,10,45},{12,0,51},{3,10,45},{4,11,37},{4,11,37},{4,11,37},{4,10,36},{4,11,10},{4,10,0},{4,10,0},{4,9,5},{3,11,12},{4,9,14},{4,11,37},{4,11,37},{4,11,37},{4,10,36},{7,1,8},
{4,10,0},{4,10,0},{4,9,5},{10,2,8},{4,9,5},{5,9,18},{4,11,2},{4,10,16},{4,10,0},{5,9,18},{10,3,18},{4,10,0},{0,10,36},{10,3,18},{0,10,36},{4,0,36},{4,0,36},{4,0,36},{4,0,36},{4,10,0},{4,10,0},{4,10,0},{4,9,1},{3,11,8},{3,11,8},{5,12,88},{5,11,78},{5,11,69},{5,11,77},{5,11,115},{4,12,88},{4,11,98},
{4,11,101},{3,13,67},{4,11,38},{5,12,24},{5,11,14},{5,11,5},{5,11,13},{5,11,51},{4,12,24},{4,11,34},{4,11,37},{11,3,51},{4,11,37},{5,11,69},{5,11,69},{5,11,69},{5,10,72},{5,10,72},{5,10,72},{5,10,72},{5,10,72},{4,11,11},{4,10,24},{5,11,5},{5,11,5},{5,11,5},{5,10,8},{5,10,8},{5,10,8},{5,10,8},{5,10,8},{12,1,8},
{5,10,8},{8,0,18},{5,11,10},{5,11,1},{4,11,9},{8,0,18},{12,2,18},{4,11,9},{0,11,36},{12,2,18},{0,11,36},{5,0,68},{5,0,68},{5,0,68},{5,0,68},{5,9,65},{5,9,65},{5,9,65},{4,11,65},{4,11,2},{4,11,2},{5,14,56},{5,13,38},{5,12,53},{5,12,37},{5,14,56},{5,13,35},{5,12,1},{5,12,66},{4,13,60},{4,12,70},{5,14,56},
{5,13,38},{5,12,53},{5,12,37},{8,2,51},{5,13,35},{5,12,1},{4,12,54},{13,2,51},{4,12,54},{5,13,37},{5,13,37},{5,13,37},{5,12,36},{5,13,10},{5,12,0},{5,12,0},{5,11,5},{4,13,11},{5,11,14},{5,13,37},{5,13,37},{5,13,37},{5,12,36},{8,1,8},{5,12,0},{5,12,0},{5,11,5},{10,5,8},{5,11,5},{6,11,18},{5,13,2},{5,12,17},
{5,12,1},{6,11,18},{15,0,18},{5,12,1},{0,12,50},{15,0,18},{0,12,50},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,12,0},{5,12,0},{5,12,0},{5,11,1},{5,11,10},{5,11,10},{6,14,88},{6,13,78},{6,13,69},{6,13,77},{6,13,115},{6,13,107},{6,13,98},{5,13,117},{5,14,60},{5,13,36},{6,14,24},{6,13,14},{6,13,5},{6,13,13},{8,5,51},
{5,14,35},{6,13,34},{5,13,36},{12,5,51},{5,13,36},{6,13,69},{6,13,69},{6,13,69},{6,12,72},{6,12,72},{6,12,72},{6,12,72},{6,12,72},{5,13,16},{5,13,36},{6,13,5},{6,13,5},{6,13,5},{6,12,8},{8,4,8},{6,12,8},{6,12,8},{6,12,8},{14,2,8},{6,12,8},{3,24,18},{6,13,10},{6,13,1},{6,13,9},{3,24,18},{14,3,18},{6,13,9},
{0,13,36},{14,3,18},{0,13,36},{6,0,68},{6,0,68},{6,0,68},{6,0,68},{6,11,68},{6,11,68},{6,11,68},{6,12,68},{5,13,0},{5,13,0},{6,16,56},{6,15,38},{6,14,52},{6,14,36},{6,16,56},{6,15,35},{6,14,0},{6,14,52},{5,15,76},{5,14,70},{6,16,56},{6,15,38},{6,14,52},{6,14,36},{3,26,51},{6,15,35},{6,14,0},{5,14,45},{15,3,51},
{5,14,45},{6,15,37},{6,15,37},{6,15,37},{6,14,36},{6,15,10},{6,14,0},{6,14,0},{6,13,5},{5,15,12},{6,13,14},{6,15,37},{6,15,37},{6,15,37},{6,14,36},{3,25,8},{6,14,0},{6,14,0},{6,13,5},{12,6,8},{6,13,5},{9,5,18},{6,15,2},{6,14,16},{6,14,0},{9,5,18},{12,7,18},{6,14,0},{0,14,36},{12,7,18},{0,14,36},{6,0,36},
{6,0,36},{6,0,36},{6,0,36},{6,14,0},{6,14,0},{6,14,0},{6,13,1},{5,15,8},{5,15,8},{7,16,88},{7,15,78},{7,15,69},{7,15,77},{7,15,115},{6,16,88},{6,15,98},{6,15,101},{5,17,67},{6,15,38},{7,16,24},{7,15,14},{7,15,5},{7,15,13},{11,0,51},{6,16,24},{6,15,34},{6,15,37},{13,7,51},{6,15,37},{7,15,69},{7,15,69},{7,15,69},
{7,14,72},{7,14,72},{7,14,72},{7,14,72},{7,14,72},{6,15,11},{6,14,24},{7,15,5},{7,15,5},{7,15,5},{7,14,8},{9,6,8},{7,14,8},{7,14,8},{7,14,8},{14,5,8},{7,14,8},{10,4,18},{7,15,10},{7,15,1},{6,15,9},{10,4,18},{14,6,18},{6,15,9},{0,15,36},{14,6,18},{0,15,36},{7,0,68},{7,0,68},{7,0,68},{7,0,68},{7,13,65},
{7,13,65},{7,13,65},{6,15,65},{6,15,2},{6,15,2},{7,18,56},{7,17,38},{7,16,53},{7,16,37},{7,18,56},{7,17,35},{7,16,1},{7,16,66},{6,17,60},{6,16,70},{7,18,56},{7,17,38},{7,16,53},{7,16,37},{10,6,51},{7,17,35},{7,16,1},{6,16,54},{15,6,51},{6,16,54},{7,17,37},{7,17,37},{7,17,37},{7,16,36},{7,17,10},{7,16,0},{7,16,0},
{7,15,5},{6,17,11},{7,15,14},{7,17,37},{7,17,37},{7,17,37},{7,16,36},{10,5,8},{7,16,0},{7,16,0},{7,15,5},{12,9,8},{7,15,5},{12,0,18},{7,17,2},{7,16,17},{7,16,1},{12,0,18},{12,10,18},{7,16,1},{0,16,50},{12,10,18},{0,16,50},{7,0,36},{7,0,36},{7,0,36},{7,0,36},{7,16,0},{7,16,0},{7,16,0},{7,15,1},{7,15,10},
{7,15,10},{7,21,326},{7,19,322},{8,17,392},{7,17,322},{7,21,137},{7,18,116},{7,17,133},{7,17,117},{7,18,60},{7,17,36},{8,16,118},{8,16,134},{8,17,136},{8,17,136},{10,9,51},{7,18,35},{7,17,52},{7,17,36},{14,9,51},{7,17,36},{7,20,307},{7,20,307},{7,20,307},{7,18,307},{7,20,91},{7,18,91},{7,18,91},{7,16,110},{7,17,16},{7,17,36},{8,15,101},
{8,15,101},{8,15,101},{8,16,101},{10,8,8},{7,18,10},{7,18,10},{7,16,29},{11,12,8},{7,16,29},{12,3,18},{7,19,16},{8,17,36},{7,17,16},{12,3,18},{11,13,18},{7,17,16},{0,17,36},{11,13,18},{0,17,36},{7,0,306},{7,0,306},{7,0,306},{7,0,306},{7,19,81},{7,19,81},{7,19,81},{7,17,81},{7,17,0},{7,17,0},{8,19,88},{8,18,78},{8,18,69},
{8,18,77},{8,18,115},{8,18,107},{8,18,98},{8,17,136},{7,19,76},{7,18,70},{8,19,24},{8,18,14},{8,18,5},{8,18,13},{9,15,51},{8,18,43},{8,18,34},{7,18,45},{5,22,51},{7,18,45},{8,18,69},{8,18,69},{8,18,69},{8,17,72},{8,17,72},{8,17,72},{8,17,72},{8,17,72},{7,19,12},{7,18,70},{8,18,5},{8,18,5},{8,18,5},{8,17,8},{9,14,8},
{8,17,8},{8,17,8},{8,17,8},{14,10,8},{8,17,8},{11,9,18},{8,18,10},{8,18,1},{8,18,9},{11,9,18},{14,11,18},{8,18,9},{0,18,36},{14,11,18},{0,18,36},{8,0,68},{8,0,68},{8,0,68},{8,0,68},{8,16,65},{8,16,65},{8,16,65},{8,17,68},{7,19,8},{7,19,8},{8,21,56},{8,20,38},{8,19,52},{8,19,36},{8,21,56},{8,20,35},{8,19,0},
{8,19,52},{7,21,67},{8,18,78},{8,21,56},{8,20,38},{8,19,52},{8,19,36},{13,4,51},{8,20,35},{8,19,0},{8,19,52},{15,11,51},{8,19,52},{8,20,37},{8,20,37},{8,20,37},{8,19,36},{8,20,10},{8,19,0},{8,19,0},{8,18,5},{8,18,35},{8,18,14},{8,20,37},{8,20,37},{8,20,37},{8,19,36},{11,10,8},{8,19,0},{8,19,0},{8,18,5},{5,23,8},
{8,18,5},{12,8,18},{8,20,2},{8,19,16},{8,19,0},{12,8,18},{11,16,18},{8,19,0},{0,19,36},{11,16,18},{0,19,36},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,19,0},{8,19,0},{8,19,0},{8,18,1},{8,18,10},{8,18,10},{9,21,88},{9,20,78},{9,20,70},{9,20,78},{9,20,115},{8,21,88},{8,20,99},{8,20,115},{8,21,72},{8,20,52},{9,21,24},
{9,20,14},{9,20,6},{9,20,14},{15,0,51},{8,21,24},{8,20,35},{8,20,51},{12,16,51},{8,20,51},{9,20,69},{9,20,69},{9,20,69},{9,19,72},{9,19,72},{9,19,72},{9,19,72},{9,19,72},{8,20,11},{8,19,24},{9,20,5},{9,20,5},{9,20,5},{9,19,8},{12,9,8},{9,19,8},{9,19,8},{9,19,8},{14,13,8},{9,19,8},{14,4,18},{9,20,10},{9,20,2},
{8,20,10},{14,4,18},{14,14,18},{8,20,10},{0,20,50},{14,14,18},{0,20,50},{9,0,68},{9,0,68},{9,0,68},{9,0,68},{9,18,65},{9,18,65},{9,18,65},{8,20,65},{8,20,2},{8,20,2},{9,24,70},{9,22,58},{9,21,75},{9,21,51},{9,23,52},{9,22,25},{9,21,3},{9,21,46},{8,23,68},{8,21,70},{9,24,69},{9,22,57},{9,21,74},{9,21,50},{15,3,51},
{9,22,24},{9,21,2},{8,21,45},{11,19,51},{8,21,45},{9,23,51},{9,23,51},{9,23,51},{9,21,51},{9,22,9},{9,21,3},{9,21,3},{9,20,9},{8,22,12},{9,20,12},{9,23,50},{9,23,50},{9,23,50},{9,21,50},{15,2,8},{9,21,2},{9,21,2},{9,20,8},{13,16,8},{9,20,8},{14,7,18},{9,22,8},{9,21,25},{9,21,1},{14,7,18},{13,17,18},{9,21,1},
{0,21,36},{13,17,18},{0,21,36},{9,0,50},{9,0,50},{9,0,50},{9,0,50},{9,21,2},{9,21,2},{9,21,2},{9,20,5},{9,20,8},{9,20,8},{10,23,88},{10,22,78},{10,22,69},{10,22,77},{10,22,115},{10,22,107},{10,22,98},{9,22,117},{9,23,60},{9,22,36},{10,23,24},{10,22,14},{10,22,5},{10,22,13},{11,19,51},{9,23,35},{10,22,34},{9,22,36},{9,23,51},
{9,22,36},{10,22,69},{10,22,69},{10,22,69},{10,21,72},{10,21,72},{10,21,72},{10,21,72},{10,21,72},{9,22,16},{9,22,36},{10,22,5},{10,22,5},{10,22,5},{10,21,8},{11,18,8},{10,21,8},{10,21,8},{10,21,8},{10,21,8},{10,21,8},{13,13,18},{10,22,10},{10,22,1},{10,22,9},{13,13,18},{15,16,18},{10,22,9},{0,22,36},{15,16,18},{0,22,36},{10,0,68},
{10,0,68},{10,0,68},{10,0,68},{10,20,65},{10,20,65},{10,20,65},{10,21,68},{9,22,0},{9,22,0},{10,25,56},{10,24,38},{10,23,52},{10,23,36},{10,25,56},{10,24,35},{10,23,0},{10,23,52},{9,24,63},{9,23,70},{10,25,56},{10,24,38},{10,23,52},{10,23,36},{15,8,51},{10,24,35},{10,23,0},{9,23,45},{11,22,51},{9,23,45},{10,24,37},{10,24,37},{10,24,37},
{10,23,36},{10,24,10},{10,23,0},{10,23,0},{10,22,5},{9,24,14},{10,22,14},{10,24,37},{10,24,37},{10,24,37},{10,23,36},{13,14,8},{10,23,0},{10,23,0},{10,22,5},{8,25,8},{10,22,5},{14,12,18},{10,24,2},{10,23,16},{10,23,0},{14,12,18},{13,20,18},{10,23,0},{0,23,36},{13,20,18},{0,23,36},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,23,0},
{10,23,0},{10,23,0},{10,22,1},{10,22,10},{10,22,10},{11,25,88},{11,24,78},{11,24,70},{11,24,78},{11,24,115},{10,25,88},{10,24,99},{10,24,115},{9,26,67},{10,24,52},{11,25,24},{11,24,14},{11,24,6},{11,24,14},{14,14,51},{10,25,24},{10,24,35},{10,24,51},{14,20,51},{10,24,51},{11,24,69},{11,24,69},{11,24,69},{11,23,72},{11,23,72},{11,23,72},{11,23,72},
{11,23,72},{10,24,11},{10,23,24},{11,24,5},{11,24,5},{11,24,5},{11,23,8},{14,13,8},{11,23,8},{11,23,8},{11,23,8},{11,23,8},{11,23,8},{13,18,18},{11,24,10},{11,24,2},{10,24,10},{13,18,18},{11,24,18},{10,24,10},{0,24,50},{11,24,18},{0,24,50},{11,0,68},{11,0,68},{11,0,68},{11,0,68},{11,22,65},{11,22,65},{11,22,65},{10,24,65},{10,24,2},
{10,24,2},{11,28,70},{11,26,58},{11,25,75},{11,25,51},{11,27,52},{11,26,25},{11,25,3},{11,25,46},{10,27,68},{10,25,70},{11,28,69},{11,26,57},{11,25,74},{11,25,50},{14,17,51},{11,26,24},{11,25,2},{10,25,45},{13,23,51},{10,25,45},{11,27,51},{11,27,51},{11,27,51},{11,25,51},{11,26,9},{11,25,3},{11,25,3},{11,24,9},{10,26,12},{11,24,12},{11,27,50},
{11,27,50},{11,27,50},{11,25,50},{14,16,8},{11,25,2},{11,25,2},{11,24,8},{15,20,8},{11,24,8},{13,21,18},{11,26,8},{11,25,25},{11,25,1},{13,21,18},{15,21,18},{11,25,1},{0,25,36},{15,21,18},{0,25,36},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,25,2},{11,25,2},{11,25,2},{11,24,5},{11,24,8},{11,24,8},{12,27,88},{12,26,78},{12,26,69},
{12,26,77},{12,26,115},{12,26,107},{12,26,98},{11,26,117},{11,27,60},{11,26,36},{12,27,24},{12,26,14},{12,26,5},{12,26,13},{13,23,51},{11,27,35},{12,26,34},{11,26,36},{11,27,51},{11,26,36},{12,26,69},{12,26,69},{12,26,69},{12,25,72},{12,25,72},{12,25,72},{12,25,72},{12,25,72},{11,26,16},{11,26,36},{12,26,5},{12,26,5},{12,26,5},{12,25,8},{13,22,8},
{12,25,8},{12,25,8},{12,25,8},{12,25,8},{12,25,8},{15,17,18},{12,26,10},{12,26,1},{12,26,9},{15,17,18},{12,26,18},{12,26,9},{0,26,36},{12,26,18},{0,26,36},{12,0,68},{12,0,68},{12,0,68},{12,0,68},{12,24,65},{12,24,65},{12,24,65},{12,25,68},{11,26,0},{11,26,0},{12,29,56},{12,28,38},{12,27,52},{12,27,36},{12,29,56},{12,28,35},{12,27,0},
{12,27,52},{11,28,63},{11,27,70},{12,29,56},{12,28,38},{12,27,52},{12,27,36},{15,19,51},{12,28,35},{12,27,0},{11,27,45},{13,26,51},{11,27,45},{12,28,37},{12,28,37},{12,28,37},{12,27,36},{12,28,10},{12,27,0},{12,27,0},{12,26,5},{11,28,14},{12,26,14},{12,28,37},{12,28,37},{12,28,37},{12,27,36},{15,18,8},{12,27,0},{12,27,0},{12,26,5},{10,29,8},
{12,26,5},{13,26,18},{12,28,2},{12,27,16},{12,27,0},{13,26,18},{15,24,18},{12,27,0},{0,27,36},{15,24,18},{0,27,36},{12,0,36},{12,0,36},{12,0,36},{12,0,36},{12,27,0},{12,27,0},{12,27,0},{12,26,1},{12,26,10},{12,26,10},{13,29,88},{13,28,78},{13,28,70},{13,28,78},{13,28,115},{12,29,88},{12,28,99},{12,28,115},{11,30,67},{12,28,52},{13,29,24},
{13,28,14},{13,28,6},{13,28,14},{13,28,51},{12,29,24},{12,28,35},{12,28,51},{11,30,51},{12,28,51},{13,28,69},{13,28,69},{13,28,69},{13,27,72},{13,27,72},{13,27,72},{13,27,72},{13,27,72},{12,28,11},{12,27,24},{13,28,5},{13,28,5},{13,28,5},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{15,22,18},{13,28,10},{13,28,2},
{12,28,10},{15,22,18},{13,28,18},{12,28,10},{0,28,50},{13,28,18},{0,28,50},{13,0,68},{13,0,68},{13,0,68},{13,0,68},{13,26,65},{13,26,65},{13,26,65},{12,28,65},{12,28,2},{12,28,2},{13,31,76},{13,30,58},{13,29,75},{13,29,51},{13,31,52},{13,30,25},{13,29,3},{13,29,46},{12,31,68},{12,29,70},{13,31,75},{13,30,57},{13,29,74},{13,29,50},{13,31,51},
{13,30,24},{13,29,2},{12,29,45},{15,27,51},{12,29,45},{13,31,51},{13,31,51},{13,31,51},{13,29,51},{13,30,9},{13,29,3},{13,29,3},{13,28,9},{12,30,12},{13,28,12},{13,31,50},{13,31,50},{13,31,50},{13,29,50},{13,30,8},{13,29,2},{13,29,2},{13,28,8},{12,30,8},{13,28,8},{15,25,18},{13,30,8},{13,29,25},{13,29,1},{15,25,18},{12,31,18},{13,29,1},
{0,29,36},{12,31,18},{0,29,36},{13,0,50},{13,0,50},{13,0,50},{13,0,50},{13,29,2},{13,29,2},{13,29,2},{13,28,5},{13,28,8},{13,28,8},{14,31,88},{14,30,78},{14,30,69},{14,30,77},{14,30,115},{14,30,107},{14,30,98},{13,30,117},{13,31,60},{13,30,36},{14,31,24},{14,30,14},{14,30,5},{14,30,13},{15,27,51},{13,31,35},{14,30,34},{13,30,36},{13,31,51},
{13,30,36},{14,30,69},{14,30,69},{14,30,69},{14,29,72},{14,29,72},{14,29,72},{14,29,72},{14,29,72},{13,30,16},{13,30,36},{14,30,5},{14,30,5},{14,30,5},{14,29,8},{15,26,8},{14,29,8},{14,29,8},{14,29,8},{14,29,8},{14,29,8},{14,31,20},{14,30,10},{14,30,1},{14,30,9},{14,31,20},{14,30,18},{14,30,9},{0,30,36},{14,30,18},{0,30,36},{14,0,68},
{14,0,68},{14,0,68},{14,0,68},{14,28,65},{14,28,65},{14,28,65},{14,29,68},{13,30,0},{13,30,0},{14,31,152},{14,31,88},{14,31,52},{14,31,36},{14,31,116},{14,31,36},{14,31,0},{14,31,52},{14,31,88},{13,31,70},{15,30,118},{14,31,88},{14,31,52},{14,31,36},{15,29,52},{14,31,36},{14,31,0},{13,31,45},{15,30,51},{13,31,45},{14,31,52},{14,31,52},{14,31,52},
{14,31,36},{14,31,16},{14,31,0},{14,31,0},{14,30,5},{14,30,35},{14,30,14},{14,31,52},{14,31,52},{14,31,52},{14,31,36},{15,28,10},{14,31,0},{14,31,0},{14,30,5},{15,29,16},{14,30,5},{15,30,18},{15,30,34},{14,31,16},{14,31,0},{15,30,18},{15,30,26},{14,31,0},{0,31,36},{15,30,26},{0,31,36},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,31,0},
{14,31,0},{14,31,0},{14,30,1},{14,30,10},{14,30,10},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{14,31,20},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},
{15,31,68},{14,31,56},{14,31,20},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{15,0,68},{15,0,68},{15,0,68},{15,0,68},{15,30,65},{15,30,65},{15,30,65},{15,31,68},{14,31,20},
{14,31,20},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{0,2,158},{0,2,110},{0,2,62},{0,1,115},{0,1,178},{0,1,124},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{0,2,158},{0,2,110},{0,2,62},{0,1,115},{1,0,158},{0,1,115},{0,2,1},{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{0,0,25},{0,0,25},{0,2,1},
{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{0,0,25},{0,0,25},{1,0,74},{0,3,20},{0,2,2},{0,2,26},{1,0,74},{1,1,72},{0,2,26},{0,1,90},{1,1,72},{0,1,90},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,6,83},{0,5,13},{0,3,26},
{0,3,14},{0,5,248},{0,3,140},{0,3,41},{0,2,139},{0,2,319},{0,2,175},{0,6,83},{0,5,13},{0,3,26},{0,3,14},{1,1,244},{0,3,140},{0,3,41},{0,2,139},{0,3,248},{0,2,139},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{0,3,52},{0,2,18},{0,2,18},{0,1,29},{0,1,77},{0,1,38},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{0,3,52},
{0,2,18},{0,2,18},{0,1,29},{1,0,58},{0,1,29},{1,3,72},{0,5,4},{0,3,17},{0,3,5},{1,3,72},{3,0,74},{0,3,5},{0,2,90},{3,0,74},{0,2,90},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{0,9,193},{0,7,125},{0,4,202},{0,4,122},{0,7,244},{0,5,96},{0,4,2},
{0,3,106},{0,4,395},{0,3,187},{1,6,99},{1,5,45},{1,4,26},{1,4,50},{1,4,243},{0,5,96},{0,4,2},{0,3,106},{2,2,243},{0,3,106},{0,7,121},{0,7,121},{0,7,121},{0,4,122},{0,5,52},{0,4,2},{0,4,2},{0,3,25},{0,3,133},{0,2,62},{1,4,26},{1,4,26},{1,4,26},{1,3,25},{1,2,50},{0,4,2},{0,4,2},{0,3,25},{1,2,50},
{0,3,25},{0,9,72},{0,7,4},{1,4,1},{0,4,1},{0,9,72},{2,3,72},{0,4,1},{0,3,90},{2,3,72},{0,3,90},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{1,8,164},{1,7,94},{1,5,106},{1,5,94},{0,10,292},{0,7,125},{0,5,81},{0,4,130},{0,6,364},{0,4,106},{1,8,83},
{1,7,13},{1,5,25},{1,5,13},{3,0,243},{0,7,76},{0,5,32},{0,4,81},{5,0,243},{0,4,81},{1,6,91},{1,6,91},{1,6,91},{1,5,94},{0,8,99},{0,6,51},{0,6,51},{0,4,66},{0,4,107},{0,4,42},{1,6,10},{1,6,10},{1,6,10},{1,5,13},{0,8,50},{0,6,2},{0,6,2},{0,4,17},{4,0,50},{0,4,17},{3,2,74},{1,7,4},{1,5,16},
{1,5,4},{3,2,74},{5,1,72},{1,5,4},{0,4,80},{5,1,72},{0,4,80},{1,0,90},{1,0,90},{1,0,90},{1,0,90},{0,6,50},{0,6,50},{0,6,50},{0,4,50},{0,3,20},{0,3,20},{1,11,218},{1,9,149},{1,7,242},{1,6,149},{1,10,248},{1,7,99},{1,6,5},{1,5,99},{0,7,308},{0,5,100},{2,8,99},{2,7,45},{2,6,27},{2,6,51},{3,3,243},
{0,9,81},{1,6,5},{0,5,99},{4,3,243},{0,5,99},{1,9,145},{1,9,145},{1,9,145},{1,6,148},{1,8,52},{1,6,4},{1,6,4},{1,5,18},{0,6,72},{0,5,19},{2,6,26},{2,6,26},{2,6,26},{2,5,25},{3,1,50},{1,6,4},{1,6,4},{0,5,18},{3,3,50},{0,5,18},{4,1,72},{1,9,5},{2,6,2},{1,6,5},{4,1,72},{3,5,72},{1,6,5},
{0,5,90},{3,5,72},{0,5,90},{1,0,144},{1,0,144},{1,0,144},{1,0,144},{1,6,0},{1,6,0},{1,6,0},{1,4,4},{0,6,8},{0,6,8},{2,10,164},{2,9,94},{2,7,107},{2,7,95},{1,12,307},{1,9,137},{1,7,115},{1,6,154},{0,9,253},{1,6,106},{2,10,83},{2,9,13},{2,7,26},{2,7,14},{4,2,243},{1,9,73},{2,7,41},{1,6,90},{6,2,243},
{1,6,90},{2,8,91},{2,8,91},{2,8,91},{2,7,94},{1,10,116},{1,8,69},{1,8,69},{1,6,73},{0,8,50},{1,6,25},{2,8,10},{2,8,10},{2,8,10},{2,7,13},{4,0,50},{1,8,5},{1,8,5},{1,6,9},{1,7,50},{1,6,9},{3,7,72},{2,9,4},{2,7,17},{2,7,5},{3,7,72},{8,0,72},{2,7,5},{0,6,90},{8,0,72},{0,6,90},{2,0,90},
{2,0,90},{2,0,90},{2,0,90},{1,9,65},{1,9,65},{1,9,65},{1,6,64},{0,7,10},{0,7,10},{2,13,194},{2,11,126},{2,8,203},{2,8,123},{2,11,245},{2,9,97},{2,8,3},{2,7,107},{0,11,249},{1,7,100},{3,10,99},{3,9,45},{3,8,26},{3,8,50},{3,8,243},{1,11,81},{2,8,2},{1,7,99},{4,6,243},{1,7,99},{2,11,122},{2,11,122},{2,11,122},
{2,8,123},{2,9,53},{2,8,3},{2,8,3},{2,7,26},{1,8,62},{1,7,19},{3,8,26},{3,8,26},{3,8,26},{3,7,25},{3,6,50},{2,8,2},{2,8,2},{1,7,18},{3,6,50},{1,7,18},{5,3,72},{2,11,4},{3,8,1},{2,8,1},{5,3,72},{4,7,72},{2,8,1},{0,7,90},{4,7,72},{0,7,90},{2,0,122},{2,0,122},{2,0,122},{2,0,122},{2,8,2},
{2,8,2},{2,8,2},{2,6,2},{1,7,10},{1,7,10},{3,12,164},{3,11,94},{3,9,106},{3,9,94},{2,14,292},{2,11,125},{2,9,81},{2,8,130},{1,11,253},{2,8,106},{3,12,83},{3,11,13},{3,9,25},{3,9,13},{5,4,243},{2,11,76},{2,9,32},{2,8,81},{9,1,243},{2,8,81},{3,10,91},{3,10,91},{3,10,91},{3,9,94},{2,12,99},{2,10,51},{2,10,51},
{2,8,66},{1,10,50},{2,8,42},{3,10,10},{3,10,10},{3,10,10},{3,9,13},{5,2,50},{2,10,2},{2,10,2},{2,8,17},{8,1,50},{2,8,17},{1,19,72},{3,11,4},{3,9,16},{3,9,4},{1,19,72},{9,2,72},{3,9,4},{0,8,80},{9,2,72},{0,8,80},{3,0,90},{3,0,90},{3,0,90},{3,0,90},{2,10,50},{2,10,50},{2,10,50},{2,8,50},{1,9,9},
{1,9,9},{3,15,218},{3,13,149},{3,11,242},{3,10,149},{3,14,248},{3,11,99},{3,10,5},{3,9,99},{1,13,244},{2,9,100},{4,12,99},{4,11,45},{4,10,27},{4,10,51},{5,7,243},{2,13,81},{3,10,5},{2,9,99},{6,7,243},{2,9,99},{3,13,145},{3,13,145},{3,13,145},{3,10,148},{3,12,52},{3,10,4},{3,10,4},{3,9,18},{1,12,56},{2,9,19},{4,10,26},
{4,10,26},{4,10,26},{4,9,25},{5,5,50},{3,10,4},{3,10,4},{2,9,18},{5,7,50},{2,9,18},{7,2,72},{3,13,5},{4,10,2},{3,10,5},{7,2,72},{12,0,72},{3,10,5},{0,9,90},{12,0,72},{0,9,90},{3,0,144},{3,0,144},{3,0,144},{3,0,144},{3,10,0},{3,10,0},{3,10,0},{3,8,4},{2,10,8},{2,10,8},{4,14,164},{4,13,94},{4,11,107},
{4,11,95},{3,16,307},{3,13,137},{3,11,115},{3,10,154},{2,13,253},{3,10,106},{4,14,83},{4,13,13},{4,11,26},{4,11,14},{7,3,243},{3,13,73},{4,11,41},{3,10,90},{11,2,243},{3,10,90},{4,12,91},{4,12,91},{4,12,91},{4,11,94},{3,14,116},{3,12,69},{3,12,69},{3,10,73},{2,12,50},{3,10,25},{4,12,10},{4,12,10},{4,12,10},{4,11,13},{7,1,50},
{3,12,5},{3,12,5},{3,10,9},{10,2,50},{3,10,9},{5,11,72},{4,13,4},{4,11,17},{4,11,5},{5,11,72},{11,3,72},{4,11,5},{0,10,90},{11,3,72},{0,10,90},{4,0,90},{4,0,90},{4,0,90},{4,0,90},{3,13,65},{3,13,65},{3,13,65},{3,10,64},{2,11,10},{2,11,10},{4,17,194},{4,15,126},{4,12,203},{4,12,123},{4,15,245},{4,13,97},{4,12,3},
{4,11,107},{2,15,249},{3,11,100},{5,14,99},{5,13,45},{5,12,26},{5,12,50},{5,12,243},{3,15,81},{4,12,2},{3,11,99},{13,1,243},{3,11,99},{4,15,122},{4,15,122},{4,15,122},{4,12,123},{4,13,53},{4,12,3},{4,12,3},{4,11,26},{3,12,62},{3,11,19},{5,12,26},{5,12,26},{5,12,26},{5,11,25},{5,10,50},{4,12,2},{4,12,2},{3,11,18},{12,1,50},
{3,11,18},{8,2,72},{4,15,4},{5,12,1},{4,12,1},{8,2,72},{13,2,72},{4,12,1},{0,11,90},{13,2,72},{0,11,90},{4,0,122},{4,0,122},{4,0,122},{4,0,122},{4,12,2},{4,12,2},{4,12,2},{4,10,2},{3,11,10},{3,11,10},{5,16,164},{5,15,94},{5,13,106},{5,13,94},{4,18,292},{4,15,125},{4,13,81},{4,12,130},{3,15,253},{4,12,106},{5,16,83},
{5,15,13},{5,13,25},{5,13,13},{8,3,243},{4,15,76},{4,13,32},{4,12,81},{11,5,243},{4,12,81},{5,14,91},{5,14,91},{5,14,91},{5,13,94},{4,16,99},{4,14,51},{4,14,51},{4,12,66},{3,14,50},{4,12,42},{5,14,10},{5,14,10},{5,14,10},{5,13,13},{8,1,50},{4,14,2},{4,14,2},{4,12,17},{10,5,50},{4,12,17},{3,23,72},{5,15,4},{5,13,16},
{5,13,4},{3,23,72},{11,6,72},{5,13,4},{0,12,80},{11,6,72},{0,12,80},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,14,50},{4,14,50},{4,14,50},{4,12,50},{3,13,9},{3,13,9},{5,19,218},{5,17,149},{5,15,242},{5,14,149},{5,18,248},{5,15,99},{5,14,5},{5,13,99},{3,17,244},{4,13,100},{6,16,99},{6,15,45},{6,14,27},{6,14,51},{8,6,243},
{4,17,81},{5,14,5},{4,13,99},{15,2,243},{4,13,99},{5,17,145},{5,17,145},{5,17,145},{5,14,148},{5,16,52},{5,14,4},{5,14,4},{5,13,18},{3,16,56},{4,13,19},{6,14,26},{6,14,26},{6,14,26},{6,13,25},{8,4,50},{5,14,4},{5,14,4},{4,13,18},{14,2,50},{4,13,18},{3,26,72},{5,17,5},{6,14,2},{5,14,5},{3,26,72},{15,3,72},{5,14,5},
{0,13,90},{15,3,72},{0,13,90},{5,0,144},{5,0,144},{5,0,144},{5,0,144},{5,14,0},{5,14,0},{5,14,0},{5,12,4},{4,14,8},{4,14,8},{6,18,164},{6,17,94},{6,15,107},{6,15,95},{5,20,307},{5,17,137},{5,15,115},{5,14,154},{4,17,253},{5,14,106},{6,18,83},{6,17,13},{6,15,26},{6,15,14},{5,20,243},{5,17,73},{6,15,41},{5,14,90},{13,6,243},
{5,14,90},{6,16,91},{6,16,91},{6,16,91},{6,15,94},{5,18,116},{5,16,69},{5,16,69},{5,14,73},{4,16,50},{5,14,25},{6,16,10},{6,16,10},{6,16,10},{6,15,13},{3,25,50},{5,16,5},{5,16,5},{5,14,9},{12,6,50},{5,14,9},{11,0,72},{6,17,4},{6,15,17},{6,15,5},{11,0,72},{13,7,72},{6,15,5},{0,14,90},{13,7,72},{0,14,90},{6,0,90},
{6,0,90},{6,0,90},{6,0,90},{5,17,65},{5,17,65},{5,17,65},{5,14,64},{4,15,10},{4,15,10},{6,21,194},{6,19,126},{6,16,203},{6,16,123},{6,19,245},{6,17,97},{6,16,3},{6,15,107},{4,19,249},{5,15,100},{7,18,99},{7,17,45},{7,16,26},{7,16,50},{11,1,243},{5,19,81},{6,16,2},{5,15,99},{15,5,243},{5,15,99},{6,19,122},{6,19,122},{6,19,122},
{6,16,123},{6,17,53},{6,16,3},{6,16,3},{6,15,26},{5,16,62},{5,15,19},{7,16,26},{7,16,26},{7,16,26},{7,15,25},{9,6,50},{6,16,2},{6,16,2},{5,15,18},{14,5,50},{5,15,18},{10,6,72},{6,19,4},{7,16,1},{6,16,1},{10,6,72},{15,6,72},{6,16,1},{0,15,90},{15,6,72},{0,15,90},{6,0,122},{6,0,122},{6,0,122},{6,0,122},{6,16,2},
{6,16,2},{6,16,2},{6,14,2},{5,15,10},{5,15,10},{7,20,164},{7,19,94},{7,17,106},{7,17,94},{6,22,292},{6,19,125},{6,17,81},{6,16,130},{5,19,253},{6,16,106},{7,20,83},{7,19,13},{7,17,25},{7,17,13},{10,7,243},{6,19,76},{6,17,32},{6,16,81},{13,9,243},{6,16,81},{7,18,91},{7,18,91},{7,18,91},{7,17,94},{6,20,99},{6,18,51},{6,18,51},
{6,16,66},{5,18,50},{6,16,42},{7,18,10},{7,18,10},{7,18,10},{7,17,13},{10,5,50},{6,18,2},{6,18,2},{6,16,17},{12,9,50},{6,16,17},{12,2,72},{7,19,4},{7,17,16},{7,17,4},{12,2,72},{13,10,72},{7,17,4},{0,16,80},{13,10,72},{0,16,80},{7,0,90},{7,0,90},{7,0,90},{7,0,90},{6,18,50},{6,18,50},{6,18,50},{6,16,50},{5,17,9},
{5,17,9},{7,23,218},{7,21,149},{7,19,242},{7,18,149},{7,22,248},{7,19,99},{7,18,5},{7,17,99},{5,21,244},{6,17,100},{7,23,218},{7,21,149},{8,18,206},{7,18,149},{13,0,243},{6,21,81},{7,18,5},{6,17,99},{5,21,243},{6,17,99},{7,21,145},{7,21,145},{7,21,145},{7,18,148},{7,20,52},{7,18,4},{7,18,4},{7,17,18},{5,20,56},{6,17,19},{7,21,145},
{7,21,145},{7,21,145},{7,18,148},{10,8,50},{7,18,4},{7,18,4},{6,17,18},{11,12,50},{6,17,18},{9,15,72},{7,21,5},{8,18,37},{7,18,5},{9,15,72},{5,22,72},{7,18,5},{0,17,90},{5,22,72},{0,17,90},{7,0,144},{7,0,144},{7,0,144},{7,0,144},{7,18,0},{7,18,0},{7,18,0},{7,16,4},{6,18,8},{6,18,8},{8,21,388},{8,20,334},{8,19,316},
{8,19,340},{7,24,307},{7,21,137},{7,19,115},{7,18,154},{6,21,253},{7,18,106},{8,21,99},{8,20,45},{8,19,27},{8,19,51},{8,19,243},{7,21,73},{7,19,51},{7,18,90},{15,10,243},{7,18,90},{8,19,315},{8,19,315},{8,19,315},{8,18,314},{7,22,116},{7,20,69},{7,20,69},{7,18,73},{6,20,50},{7,18,25},{8,19,26},{8,19,26},{8,19,26},{8,18,25},{9,14,50},
{7,20,5},{7,20,5},{7,18,9},{14,10,50},{7,18,9},{13,4,72},{8,20,20},{8,19,2},{7,19,26},{13,4,72},{15,11,72},{7,19,26},{0,18,90},{15,11,72},{0,18,90},{8,0,314},{8,0,314},{8,0,314},{8,0,314},{7,21,65},{7,21,65},{7,21,65},{7,18,64},{6,19,10},{6,19,10},{8,23,164},{8,22,94},{8,20,106},{8,20,94},{8,22,329},{8,20,221},{8,20,121},
{8,19,220},{6,23,249},{7,19,100},{8,23,83},{8,22,13},{8,20,25},{8,20,13},{13,5,243},{7,23,81},{8,20,40},{7,19,99},{12,15,243},{7,19,99},{8,21,91},{8,21,91},{8,21,91},{8,20,94},{8,20,133},{8,19,99},{8,19,99},{8,18,110},{7,20,62},{7,19,19},{8,21,10},{8,21,10},{8,21,10},{8,20,13},{11,10,50},{8,19,18},{8,19,18},{7,19,18},{5,23,50},
{7,19,18},{15,0,72},{8,22,4},{8,20,16},{8,20,4},{15,0,72},{12,16,72},{8,20,4},{0,19,90},{12,16,72},{0,19,90},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{8,18,81},{8,18,81},{8,18,81},{8,18,85},{7,19,10},{7,19,10},{8,26,194},{8,24,131},{8,21,203},{8,21,123},{8,24,245},{8,22,97},{8,21,3},{8,20,97},{7,23,253},{7,20,141},{9,23,99},
{9,22,45},{9,21,26},{9,21,50},{15,1,243},{8,22,96},{8,21,2},{8,20,96},{15,13,243},{8,20,96},{8,24,122},{8,24,122},{8,24,122},{8,21,123},{8,22,53},{8,21,3},{8,21,3},{8,19,27},{7,22,50},{8,19,75},{9,21,26},{9,21,26},{9,21,26},{9,20,25},{12,9,50},{8,21,2},{8,21,2},{8,19,26},{14,13,50},{8,19,26},{14,6,72},{8,24,9},{9,21,1},
{8,21,1},{14,6,72},{15,14,72},{8,21,1},{0,20,80},{15,14,72},{0,20,80},{8,0,122},{8,0,122},{8,0,122},{8,0,122},{8,21,2},{8,21,2},{8,21,2},{8,19,2},{7,21,9},{7,21,9},{9,26,154},{9,24,81},{9,22,106},{9,22,82},{9,24,307},{8,24,137},{9,22,91},{8,21,154},{7,25,244},{8,21,106},{9,26,90},{9,24,17},{9,22,42},{9,22,18},{15,4,243},
{8,24,73},{9,22,27},{8,21,90},{9,22,243},{8,21,90},{9,24,81},{9,24,81},{9,24,81},{9,22,81},{9,22,114},{8,23,68},{8,23,68},{8,21,73},{7,24,56},{8,21,25},{9,24,17},{9,24,17},{9,24,17},{9,22,17},{15,2,50},{8,23,4},{8,23,4},{8,21,9},{13,16,50},{8,21,9},{11,19,72},{9,24,1},{9,22,26},{9,22,2},{11,19,72},{9,23,72},{9,22,2},
{0,21,90},{9,23,72},{0,21,90},{9,0,80},{9,0,80},{9,0,80},{9,0,80},{9,20,65},{9,20,65},{9,20,65},{8,21,64},{8,21,16},{8,21,16},{9,28,216},{9,26,149},{9,23,245},{9,23,149},{9,27,248},{9,24,89},{9,23,5},{9,22,99},{7,27,260},{8,22,100},{10,25,99},{10,24,45},{10,23,27},{10,23,51},{10,23,243},{8,26,81},{9,23,5},{8,22,99},{11,21,243},
{8,22,99},{9,26,145},{9,26,145},{9,26,145},{9,23,148},{9,25,52},{9,23,4},{9,23,4},{9,22,18},{8,23,72},{8,22,19},{10,23,26},{10,23,26},{10,23,26},{10,22,25},{11,18,50},{9,23,4},{9,23,4},{8,22,18},{10,21,50},{8,22,18},{15,8,72},{9,26,5},{10,23,2},{9,23,5},{15,8,72},{11,22,72},{9,23,5},{0,22,90},{11,22,72},{0,22,90},{9,0,144},
{9,0,144},{9,0,144},{9,0,144},{9,23,0},{9,23,0},{9,23,0},{9,21,4},{8,23,8},{8,23,8},{10,27,164},{10,26,94},{10,24,106},{10,24,94},{9,29,307},{9,26,137},{9,24,105},{9,23,154},{8,26,253},{9,23,106},{10,27,83},{10,26,13},{10,24,25},{10,24,13},{15,9,243},{9,26,73},{10,24,40},{9,23,90},{14,19,243},{9,23,90},{10,25,91},{10,25,91},{10,25,91},
{10,24,94},{9,27,116},{9,25,69},{9,25,69},{9,23,73},{8,25,50},{9,23,25},{10,25,10},{10,25,10},{10,25,10},{10,24,13},{13,14,50},{9,25,5},{9,25,5},{9,23,9},{8,25,50},{9,23,9},{14,14,72},{10,26,4},{10,24,16},{10,24,4},{14,14,72},{14,20,72},{10,24,4},{0,23,90},{14,20,72},{0,23,90},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,26,65},
{9,26,65},{9,26,65},{9,23,64},{8,24,9},{8,24,9},{10,30,194},{10,28,131},{10,25,203},{10,25,123},{10,28,245},{10,26,97},{10,25,3},{10,24,97},{8,28,252},{9,24,85},{11,27,99},{11,26,45},{11,25,26},{11,25,50},{14,15,243},{9,28,80},{10,25,2},{9,24,84},{12,23,243},{9,24,84},{10,28,122},{10,28,122},{10,28,122},{10,25,123},{10,26,53},{10,25,3},{10,25,3},
{10,23,27},{9,25,62},{9,24,21},{11,25,26},{11,25,26},{11,25,26},{11,24,25},{14,13,50},{10,25,2},{10,25,2},{9,24,20},{11,23,50},{9,24,20},{13,20,72},{10,28,9},{11,25,1},{10,25,1},{13,20,72},{13,23,74},{10,25,1},{0,24,80},{13,23,74},{0,24,80},{10,0,122},{10,0,122},{10,0,122},{10,0,122},{10,25,2},{10,25,2},{10,25,2},{10,23,2},{9,24,5},
{9,24,5},{11,30,154},{11,28,81},{11,26,106},{11,26,82},{11,28,307},{10,28,137},{11,26,91},{10,25,154},{9,28,260},{10,25,106},{11,30,90},{11,28,17},{11,26,42},{11,26,18},{14,18,243},{10,28,73},{11,26,27},{10,25,90},{11,26,243},{10,25,90},{11,28,81},{11,28,81},{11,28,81},{11,26,81},{11,26,114},{10,27,68},{10,27,68},{10,25,73},{9,27,53},{10,25,25},{11,28,17},
{11,28,17},{11,28,17},{11,26,17},{14,16,50},{10,27,4},{10,27,4},{10,25,9},{15,20,50},{10,25,9},{13,23,72},{11,28,1},{11,26,26},{11,26,2},{13,23,72},{11,27,72},{11,26,2},{0,25,90},{11,27,72},{0,25,90},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{11,24,65},{11,24,65},{11,24,65},{10,25,64},{10,25,16},{10,25,16},{11,31,248},{11,30,149},{11,27,245},
{11,27,149},{11,31,248},{11,28,89},{11,27,5},{11,26,99},{9,30,244},{10,26,100},{12,29,99},{12,28,45},{12,27,27},{12,27,51},{12,27,243},{10,30,81},{11,27,5},{10,26,99},{13,25,243},{10,26,99},{11,30,145},{11,30,145},{11,30,145},{11,27,148},{11,29,52},{11,27,4},{11,27,4},{11,26,18},{9,29,56},{10,26,19},{12,27,26},{12,27,26},{12,27,26},{12,26,25},{13,22,50},
{11,27,4},{11,27,4},{10,26,18},{12,25,50},{10,26,18},{15,19,72},{11,30,5},{12,27,2},{11,27,5},{15,19,72},{13,26,72},{11,27,5},{0,26,90},{13,26,72},{0,26,90},{11,0,144},{11,0,144},{11,0,144},{11,0,144},{11,27,0},{11,27,0},{11,27,0},{11,25,4},{10,27,8},{10,27,8},{12,31,164},{12,30,94},{12,28,106},{12,28,94},{12,30,329},{11,30,137},{11,28,105},
{11,27,154},{10,30,253},{11,27,106},{12,31,83},{12,30,13},{12,28,25},{12,28,13},{14,23,243},{11,30,73},{12,28,40},{11,27,90},{11,29,243},{11,27,90},{12,29,91},{12,29,91},{12,29,91},{12,28,94},{11,31,116},{11,29,69},{11,29,69},{11,27,73},{10,29,50},{11,27,25},{12,29,10},{12,29,10},{12,29,10},{12,28,13},{15,18,50},{11,29,5},{11,29,5},{11,27,9},{10,29,50},
{11,27,9},{13,28,72},{12,30,4},{12,28,16},{12,28,4},{13,28,72},{11,30,72},{12,28,4},{0,27,90},{11,30,72},{0,27,90},{12,0,90},{12,0,90},{12,0,90},{12,0,90},{11,30,65},{11,30,65},{11,30,65},{11,27,64},{10,28,9},{10,28,9},{12,31,356},{12,31,140},{12,29,203},{12,29,123},{12,31,284},{12,30,97},{12,29,3},{12,28,97},{10,31,287},{11,28,85},{13,31,99},
{13,30,45},{13,29,26},{13,29,50},{13,29,243},{12,30,96},{12,29,2},{11,28,84},{14,27,243},{11,28,84},{12,31,131},{12,31,131},{12,31,131},{12,29,123},{12,30,53},{12,29,3},{12,29,3},{12,27,27},{11,29,62},{11,28,21},{13,29,26},{13,29,26},{13,29,26},{13,28,25},{13,27,50},{12,29,2},{12,29,2},{11,28,20},{13,27,50},{11,28,20},{15,24,72},{12,31,18},{13,29,1},
{12,29,1},{15,24,72},{15,27,74},{12,29,1},{0,28,80},{15,27,74},{0,28,80},{12,0,122},{12,0,122},{12,0,122},{12,0,122},{12,29,2},{12,29,2},{12,29,2},{12,27,2},{11,28,5},{11,28,5},{13,31,280},{13,31,120},{13,30,106},{13,30,82},{13,31,328},{13,31,200},{13,30,91},{12,29,154},{12,31,344},{12,29,106},{13,31,216},{13,31,56},{13,30,42},{13,30,18},{15,25,244},
{13,31,136},{13,30,27},{12,29,90},{13,30,243},{12,29,90},{13,31,84},{13,31,84},{13,31,84},{13,30,81},{13,30,114},{12,31,68},{12,31,68},{12,29,73},{11,31,53},{12,29,25},{13,31,20},{13,31,20},{13,31,20},{13,30,17},{13,30,50},{12,31,4},{12,31,4},{12,29,9},{12,30,50},{12,29,9},{15,27,72},{13,31,40},{13,30,26},{13,30,2},{15,27,72},{13,31,72},{13,30,2},
{0,29,90},{13,31,72},{0,29,90},{13,0,80},{13,0,80},{13,0,80},{13,0,80},{13,28,65},{13,28,65},{13,28,65},{12,29,64},{12,29,16},{12,29,16},{14,31,415},{14,31,351},{13,31,244},{13,31,148},{14,31,511},{13,31,173},{13,31,4},{13,30,82},{13,31,381},{12,30,83},{14,31,126},{14,31,62},{14,31,26},{14,31,50},{14,31,222},{13,31,173},{13,31,4},{12,30,82},{14,30,221},
{12,30,82},{13,31,244},{13,31,244},{13,31,244},{13,31,148},{13,31,100},{13,31,4},{13,31,4},{13,30,18},{12,31,72},{12,30,19},{14,31,26},{14,31,26},{14,31,26},{14,30,25},{15,26,50},{13,31,4},{13,31,4},{12,30,18},{14,29,50},{12,30,18},{15,29,61},{14,31,37},{14,31,1},{13,31,4},{15,29,61},{15,30,61},{13,31,4},{0,30,73},{15,30,61},{0,30,73},{13,0,144},
{13,0,144},{13,0,144},{13,0,144},{13,31,0},{13,31,0},{13,31,0},{13,29,4},{12,31,8},{12,31,8},{14,31,239},{14,31,175},{14,31,139},{14,31,99},{14,31,239},{14,31,135},{14,31,99},{13,31,73},{13,31,285},{13,31,25},{14,31,158},{14,31,94},{14,31,58},{14,31,18},{15,29,94},{14,31,54},{14,31,18},{13,31,9},{15,30,93},{13,31,9},{14,31,139},{14,31,139},{14,31,139},
{14,31,99},{14,31,139},{14,31,99},{14,31,99},{13,31,73},{13,31,116},{13,31,25},{14,31,58},{14,31,58},{14,31,58},{14,31,18},{15,28,52},{14,31,18},{14,31,18},{13,31,9},{15,29,58},{13,31,9},{15,30,9},{15,31,9},{15,31,9},{14,31,9},{15,30,9},{15,31,9},{14,31,9},{0,31,9},{15,31,9},{0,31,9},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{14,30,81},
{14,30,81},{14,30,81},{13,31,64},{13,31,16},{13,31,16},{15,31,314},{14,31,258},{14,31,222},{14,31,158},{14,31,226},{14,31,98},{14,31,62},{14,31,2},{14,31,122},{14,31,50},{15,31,25},{15,31,25},{15,31,25},{15,31,25},{15,30,22},{15,31,25},{15,31,25},{14,31,1},{15,31,25},{14,31,1},{14,31,222},{14,31,222},{14,31,222},{14,31,158},{14,31,126},{14,31,62},{14,31,62},
{14,31,2},{14,31,86},{14,31,50},{15,31,25},{15,31,25},{15,31,25},{15,31,25},{15,30,13},{15,31,25},{15,31,25},{14,31,1},{15,30,25},{14,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{14,0,122},{14,0,122},{14,0,122},{14,0,122},{14,31,26},{14,31,26},{14,31,26},{14,31,2},{14,31,50},
{14,31,50},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{0,4,442},{0,3,313},{0,3,142},{0,2,318},{0,2,498},{0,2,354},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{1,1,441},{0,3,313},{0,3,142},{0,2,318},{2,0,442},{0,2,318},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,45},{0,1,25},{0,1,25},{0,1,26},{0,1,50},{0,1,35},{0,3,0},
{0,3,0},{0,3,0},{0,2,1},{0,1,45},{0,1,25},{0,1,25},{0,1,26},{0,1,41},{0,1,26},{1,3,200},{0,5,52},{0,3,25},{0,3,61},{1,3,200},{3,0,202},{0,3,61},{0,2,218},{3,0,202},{0,2,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,9,200},{0,7,20},{0,5,20},
{0,4,25},{0,6,686},{0,5,433},{0,4,169},{0,3,443},{0,3,794},{0,3,524},{0,9,200},{0,7,20},{0,5,20},{0,4,25},{0,6,686},{0,5,433},{0,4,169},{0,3,443},{3,0,686},{0,3,443},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,3,145},{0,2,85},{0,2,85},{0,2,101},{0,1,178},{0,1,115},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,3,145},
{0,2,85},{0,2,85},{0,2,101},{0,2,149},{0,2,101},{0,9,200},{0,7,20},{0,5,20},{0,4,25},{0,9,200},{2,3,200},{0,4,25},{0,3,218},{2,3,200},{0,3,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,11,257},{0,9,54},{0,6,114},{0,5,65},{0,9,728},{0,6,371},{0,5,80},
{0,4,377},{0,5,949},{0,4,521},{0,11,257},{0,9,54},{1,5,97},{0,5,65},{2,2,723},{0,6,371},{0,5,80},{0,4,377},{1,4,723},{0,4,377},{0,8,50},{0,8,50},{0,8,50},{0,5,49},{0,5,164},{0,4,50},{0,4,50},{0,3,65},{0,3,245},{0,2,126},{0,8,50},{0,8,50},{0,8,50},{0,5,49},{1,2,162},{0,4,50},{0,4,50},{0,3,65},{1,2,162},
{0,3,65},{3,2,202},{0,9,5},{1,5,16},{0,5,16},{3,2,202},{5,1,200},{0,5,16},{0,4,208},{5,1,200},{0,4,208},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,2,1},{0,2,1},{0,2,1},{0,1,4},{0,1,13},{0,1,13},{0,14,425},{0,11,234},{1,7,277},{0,7,245},{0,11,724},{0,8,289},{0,6,34},{0,5,308},{0,6,1087},{0,5,533},{1,11,201},
{1,9,18},{1,7,21},{1,6,26},{1,8,723},{0,8,289},{0,6,34},{0,5,308},{4,2,723},{0,5,308},{0,11,225},{0,11,225},{0,11,225},{0,7,229},{0,8,162},{0,6,18},{0,6,18},{0,4,25},{0,4,338},{0,3,162},{1,8,2},{1,8,2},{1,8,2},{1,5,5},{0,8,162},{0,6,18},{0,6,18},{0,4,25},{4,0,162},{0,4,25},{3,4,200},{0,11,9},{1,7,20},
{0,7,20},{3,4,200},{7,0,200},{0,7,20},{0,5,208},{7,0,200},{0,5,208},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{1,14,410},{1,11,209},{1,8,288},{1,7,234},{0,14,739},{0,10,254},{0,8,33},{0,6,270},{0,8,1131},{0,6,450},{1,14,266},{1,11,65},{2,7,106},{1,7,90},{3,4,723},
{0,10,238},{0,8,17},{0,6,254},{7,0,723},{0,6,254},{1,11,209},{1,11,209},{1,11,209},{1,7,209},{0,11,178},{0,8,17},{0,8,17},{0,5,18},{0,6,376},{0,5,123},{1,11,65},{1,11,65},{1,11,65},{1,7,65},{3,1,162},{0,8,1},{0,8,1},{0,5,2},{3,3,162},{0,5,2},{3,7,200},{1,11,1},{2,7,25},{0,8,17},{3,7,200},{8,0,200},{0,8,17},
{0,6,218},{8,0,200},{0,6,218},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,8,16},{0,8,16},{0,8,16},{0,5,17},{0,4,80},{0,4,80},{1,16,474},{1,13,276},{1,9,457},{1,9,292},{1,13,740},{1,10,298},{1,8,45},{1,7,315},{0,9,1013},{0,7,308},{2,13,201},{2,11,21},{2,9,21},{2,8,26},{5,0,723},{0,12,227},{1,8,29},{0,7,227},{5,4,723},
{0,7,227},{1,13,272},{1,13,272},{1,13,272},{1,9,276},{1,10,180},{1,8,29},{1,8,29},{1,6,33},{0,8,306},{0,6,41},{2,10,2},{2,10,2},{2,10,2},{2,7,5},{4,0,162},{0,10,5},{0,10,5},{0,6,5},{1,7,162},{0,6,5},{5,3,200},{1,13,4},{2,9,20},{1,9,20},{5,3,200},{4,7,200},{1,9,20},{0,7,218},{4,7,200},{0,7,218},{1,0,272},
{1,0,272},{1,0,272},{1,0,272},{1,7,17},{1,7,17},{1,7,17},{1,5,17},{0,6,40},{0,6,40},{2,15,426},{2,13,223},{2,10,283},{2,9,234},{1,16,739},{1,12,267},{1,10,33},{1,8,273},{0,11,913},{0,8,225},{2,15,257},{2,13,54},{3,9,97},{2,9,65},{4,6,723},{0,13,208},{1,10,17},{0,8,209},{3,8,723},{0,8,209},{2,12,219},{2,12,219},{2,12,219},
{2,9,218},{1,13,180},{1,10,17},{1,10,17},{1,7,18},{0,9,229},{0,7,27},{2,12,50},{2,12,50},{2,12,50},{2,9,49},{3,6,162},{1,10,1},{1,10,1},{1,7,2},{3,6,162},{1,7,2},{1,19,200},{2,13,5},{3,9,16},{2,9,16},{1,19,200},{9,2,200},{2,9,16},{0,8,208},{9,2,200},{0,8,208},{2,0,218},{2,0,218},{2,0,218},{2,0,218},{1,10,16},
{1,10,16},{1,10,16},{1,7,17},{0,8,17},{0,8,17},{2,18,450},{2,15,259},{2,11,410},{2,11,270},{2,15,749},{2,12,314},{2,10,59},{2,9,333},{0,13,868},{0,9,213},{3,15,201},{3,13,18},{3,11,21},{3,10,26},{6,2,723},{0,15,204},{2,10,34},{0,9,212},{8,3,723},{0,9,212},{2,15,250},{2,15,250},{2,15,250},{2,11,254},{2,12,187},{2,10,43},{2,10,43},
{2,8,50},{0,11,189},{1,8,37},{3,12,2},{3,12,2},{3,12,2},{3,9,5},{5,2,162},{1,12,2},{1,12,2},{1,8,1},{8,1,162},{1,8,1},{5,8,200},{2,15,9},{3,11,20},{2,11,20},{5,8,200},{4,10,200},{2,11,20},{0,9,208},{4,10,200},{0,9,208},{2,0,250},{2,0,250},{2,0,250},{2,0,250},{2,9,25},{2,9,25},{2,9,25},{2,7,25},{0,9,5},
{0,9,5},{3,18,410},{3,15,209},{3,12,288},{3,11,234},{2,18,739},{2,14,254},{2,12,33},{2,10,270},{0,15,804},{1,10,227},{3,18,266},{3,15,65},{4,11,106},{3,11,90},{5,8,723},{1,15,219},{2,12,17},{1,10,218},{4,10,723},{1,10,218},{3,15,209},{3,15,209},{3,15,209},{3,11,209},{2,15,178},{2,12,17},{2,12,17},{2,9,18},{0,13,171},{1,9,26},{3,15,65},
{3,15,65},{3,15,65},{3,11,65},{5,5,162},{2,12,1},{2,12,1},{2,9,2},{5,7,162},{2,9,2},{5,11,200},{3,15,1},{4,11,25},{2,12,17},{5,11,200},{11,3,200},{2,12,17},{0,10,218},{11,3,200},{0,10,218},{3,0,208},{3,0,208},{3,0,208},{3,0,208},{2,12,16},{2,12,16},{2,12,16},{2,9,17},{1,10,9},{1,10,9},{3,20,474},{3,17,276},{3,13,457},
{3,13,292},{3,17,740},{3,14,298},{3,12,45},{3,11,315},{0,16,747},{1,11,231},{4,17,201},{4,15,21},{4,13,21},{4,12,26},{7,4,723},{1,17,209},{3,12,29},{1,11,227},{9,5,723},{1,11,227},{3,17,272},{3,17,272},{3,17,272},{3,13,276},{3,14,180},{3,12,29},{3,12,29},{3,10,33},{0,15,171},{2,10,41},{4,14,2},{4,14,2},{4,14,2},{4,11,5},{7,1,162},
{2,14,5},{2,14,5},{2,10,5},{10,2,162},{2,10,5},{8,2,200},{3,17,4},{4,13,20},{3,13,20},{8,2,200},{13,2,200},{3,13,20},{0,11,218},{13,2,200},{0,11,218},{3,0,272},{3,0,272},{3,0,272},{3,0,272},{3,11,17},{3,11,17},{3,11,17},{3,9,17},{1,12,8},{1,12,8},{4,19,426},{4,17,223},{4,14,283},{4,13,234},{3,20,739},{3,16,267},{3,14,33},
{3,12,273},{0,18,727},{2,12,225},{4,19,257},{4,17,54},{5,13,97},{4,13,65},{6,10,723},{2,17,208},{3,14,17},{2,12,209},{12,3,723},{2,12,209},{4,16,219},{4,16,219},{4,16,219},{4,13,218},{3,17,180},{3,14,17},{3,14,17},{3,11,18},{1,15,171},{2,11,27},{4,16,50},{4,16,50},{4,16,50},{4,13,49},{5,10,162},{3,14,1},{3,14,1},{3,11,2},{12,1,162},
{3,11,2},{3,23,200},{4,17,5},{5,13,16},{4,13,16},{3,23,200},{11,6,200},{4,13,16},{0,12,208},{11,6,200},{0,12,208},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{3,14,16},{3,14,16},{3,14,16},{3,11,17},{1,13,10},{1,13,10},{4,22,450},{4,19,259},{4,15,410},{4,15,270},{4,19,749},{4,16,314},{4,14,59},{4,13,333},{1,18,747},{2,13,213},{5,19,201},
{5,17,18},{5,15,21},{5,14,26},{9,1,723},{2,19,204},{4,14,34},{2,13,212},{15,1,723},{2,13,212},{4,19,250},{4,19,250},{4,19,250},{4,15,254},{4,16,187},{4,14,43},{4,14,43},{4,12,50},{1,16,174},{3,12,37},{5,16,2},{5,16,2},{5,16,2},{5,13,5},{8,1,162},{3,16,2},{3,16,2},{3,12,1},{10,5,162},{3,12,1},{9,4,200},{4,19,9},{5,15,20},
{4,15,20},{9,4,200},{9,10,200},{4,15,20},{0,13,208},{9,10,200},{0,13,208},{4,0,250},{4,0,250},{4,0,250},{4,0,250},{4,13,25},{4,13,25},{4,13,25},{4,11,25},{2,13,5},{2,13,5},{5,22,410},{5,19,209},{5,16,288},{5,15,234},{4,22,739},{4,18,254},{4,16,33},{4,14,270},{1,20,724},{3,14,227},{5,22,266},{5,19,65},{6,15,106},{5,15,90},{9,4,723},
{3,19,219},{4,16,17},{3,14,218},{9,10,723},{3,14,218},{5,19,209},{5,19,209},{5,19,209},{5,15,209},{4,19,178},{4,16,17},{4,16,17},{4,13,18},{2,17,171},{3,13,26},{5,19,65},{5,19,65},{5,19,65},{5,15,65},{8,4,162},{4,16,1},{4,16,1},{4,13,2},{14,2,162},{4,13,2},{11,0,200},{5,19,1},{6,15,25},{4,16,17},{11,0,200},{13,7,200},{4,16,17},
{0,14,218},{13,7,200},{0,14,218},{5,0,208},{5,0,208},{5,0,208},{5,0,208},{4,16,16},{4,16,16},{4,16,16},{4,13,17},{3,14,9},{3,14,9},{5,24,474},{5,21,276},{5,17,457},{5,17,292},{5,21,740},{5,18,298},{5,16,45},{5,15,315},{1,22,740},{3,15,231},{6,21,201},{6,19,21},{6,17,21},{6,16,26},{10,3,723},{3,21,209},{5,16,29},{3,15,227},{11,9,723},
{3,15,227},{5,21,272},{5,21,272},{5,21,272},{5,17,276},{5,18,180},{5,16,29},{5,16,29},{5,14,33},{2,19,171},{4,14,41},{6,18,2},{6,18,2},{6,18,2},{6,15,5},{3,25,162},{4,18,5},{4,18,5},{4,14,5},{12,6,162},{4,14,5},{10,6,200},{5,21,4},{6,17,20},{5,17,20},{10,6,200},{15,6,200},{5,17,20},{0,15,218},{15,6,200},{0,15,218},{5,0,272},
{5,0,272},{5,0,272},{5,0,272},{5,15,17},{5,15,17},{5,15,17},{5,13,17},{3,16,8},{3,16,8},{6,23,426},{6,21,223},{6,18,283},{6,17,234},{5,24,739},{5,20,267},{5,18,33},{5,16,273},{2,22,727},{4,16,225},{6,23,257},{6,21,54},{7,17,97},{6,17,65},{9,9,723},{4,21,208},{5,18,17},{4,16,209},{14,7,723},{4,16,209},{6,20,219},{6,20,219},{6,20,219},
{6,17,218},{5,21,180},{5,18,17},{5,18,17},{5,15,18},{3,19,171},{4,15,27},{6,20,50},{6,20,50},{6,20,50},{6,17,49},{9,6,162},{5,18,1},{5,18,1},{5,15,2},{14,5,162},{5,15,2},{12,2,200},{6,21,5},{7,17,16},{6,17,16},{12,2,200},{13,10,200},{6,17,16},{0,16,208},{13,10,200},{0,16,208},{6,0,218},{6,0,218},{6,0,218},{6,0,218},{5,18,16},
{5,18,16},{5,18,16},{5,15,17},{3,17,10},{3,17,10},{6,26,450},{6,23,259},{6,19,410},{6,19,270},{6,23,749},{6,20,314},{6,18,59},{6,17,333},{3,22,747},{4,17,213},{7,23,201},{7,21,18},{7,19,21},{7,18,26},{11,5,723},{4,23,204},{6,18,34},{4,17,212},{12,11,723},{4,17,212},{6,23,250},{6,23,250},{6,23,250},{6,19,254},{6,20,187},{6,18,43},{6,18,43},
{6,16,50},{3,20,174},{5,16,37},{7,20,2},{7,20,2},{7,20,2},{7,17,5},{10,5,162},{5,20,2},{5,20,2},{5,16,1},{12,9,162},{5,16,1},{11,8,200},{6,23,9},{7,19,20},{6,19,20},{11,8,200},{11,14,200},{6,19,20},{0,17,208},{11,14,200},{0,17,208},{6,0,250},{6,0,250},{6,0,250},{6,0,250},{6,17,25},{6,17,25},{6,17,25},{6,15,25},{4,17,5},
{4,17,5},{7,26,410},{7,23,209},{7,20,288},{7,19,234},{6,26,739},{6,22,254},{6,20,33},{6,18,270},{3,24,724},{5,18,227},{7,26,266},{7,23,65},{7,20,144},{7,19,90},{11,8,723},{5,23,219},{6,20,17},{5,18,218},{11,14,723},{5,18,218},{7,23,209},{7,23,209},{7,23,209},{7,19,209},{6,23,178},{6,20,17},{6,20,17},{6,17,18},{4,21,171},{5,17,26},{7,23,65},
{7,23,65},{7,23,65},{7,19,65},{10,8,162},{6,20,1},{6,20,1},{6,17,2},{11,12,162},{6,17,2},{13,4,200},{7,23,1},{8,19,50},{6,20,17},{13,4,200},{15,11,200},{6,20,17},{0,18,218},{15,11,200},{0,18,218},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{6,20,16},{6,20,16},{6,20,16},{6,17,17},{5,18,9},{5,18,9},{7,28,474},{7,25,276},{7,21,457},
{7,21,292},{7,25,740},{7,22,298},{7,20,45},{7,19,315},{3,26,740},{5,19,231},{8,23,283},{8,22,133},{8,20,97},{8,20,133},{12,7,723},{5,25,209},{7,20,29},{5,19,227},{13,13,723},{5,19,227},{7,25,272},{7,25,272},{7,25,272},{7,21,276},{7,22,180},{7,20,29},{7,20,29},{7,18,33},{4,23,171},{6,18,41},{8,20,81},{8,20,81},{8,20,81},{8,19,82},{9,14,162},
{6,22,5},{6,22,5},{6,18,5},{14,10,162},{6,18,5},{15,0,200},{7,25,4},{8,20,16},{7,21,20},{15,0,200},{12,16,200},{7,21,20},{0,19,218},{12,16,200},{0,19,218},{7,0,272},{7,0,272},{7,0,272},{7,0,272},{7,19,17},{7,19,17},{7,19,17},{7,17,17},{5,20,8},{5,20,8},{8,26,642},{8,24,459},{8,22,462},{8,21,467},{7,28,739},{7,24,267},{7,22,33},
{7,20,273},{4,26,727},{6,20,225},{8,26,201},{8,24,18},{8,22,21},{8,21,26},{14,3,723},{6,25,208},{7,22,17},{6,20,209},{11,17,723},{6,20,209},{8,23,443},{8,23,443},{8,23,443},{8,20,446},{7,25,180},{7,22,17},{7,22,17},{7,19,18},{5,23,171},{6,19,27},{8,23,2},{8,23,2},{8,23,2},{8,20,5},{11,10,162},{7,22,1},{7,22,1},{7,19,2},{5,23,162},
{7,19,2},{14,6,200},{8,24,17},{8,22,20},{7,22,17},{14,6,200},{15,14,200},{7,22,17},{0,20,208},{15,14,200},{0,20,208},{8,0,442},{8,0,442},{8,0,442},{8,0,442},{7,22,16},{7,22,16},{7,22,16},{7,19,17},{5,21,10},{5,21,10},{8,28,420},{8,26,223},{8,23,283},{8,22,234},{7,31,872},{7,26,371},{7,23,201},{7,21,368},{5,26,747},{6,21,213},{8,28,251},
{8,26,54},{9,22,97},{8,22,65},{13,9,723},{6,27,204},{7,23,57},{6,21,212},{14,15,723},{6,21,212},{8,25,219},{8,25,219},{8,25,219},{8,22,218},{7,27,308},{7,24,146},{7,24,146},{7,20,145},{5,24,174},{7,20,37},{8,25,50},{8,25,50},{8,25,50},{8,22,49},{12,9,162},{7,24,2},{7,24,2},{7,20,1},{14,13,162},{7,20,1},{13,12,200},{8,26,5},{9,22,16},
{8,22,16},{13,12,200},{13,18,200},{8,22,16},{0,21,208},{13,18,200},{0,21,208},{8,0,218},{8,0,218},{8,0,218},{8,0,218},{7,24,145},{7,24,145},{7,24,145},{7,20,145},{6,21,5},{6,21,5},{8,31,474},{8,28,276},{9,24,425},{8,24,292},{8,28,740},{8,25,298},{8,23,61},{8,22,315},{5,28,724},{7,22,227},{9,28,200},{9,26,13},{9,24,25},{9,23,29},{13,12,723},
{7,27,219},{8,23,45},{7,22,218},{13,18,723},{7,22,218},{8,28,272},{8,28,272},{8,28,272},{8,24,276},{8,25,180},{8,23,36},{8,23,36},{8,21,33},{6,25,171},{7,21,26},{9,25,0},{9,25,0},{9,25,0},{9,23,4},{15,2,162},{8,23,20},{8,23,20},{8,21,17},{13,16,162},{8,21,17},{15,8,200},{8,28,4},{9,24,25},{8,24,20},{15,8,200},{11,22,200},{8,24,20},
{0,22,218},{11,22,200},{0,22,218},{8,0,272},{8,0,272},{8,0,272},{8,0,272},{8,22,17},{8,22,17},{8,22,17},{8,20,17},{7,22,9},{7,22,9},{9,31,410},{9,28,212},{9,25,288},{9,24,224},{8,31,739},{8,27,254},{8,25,33},{8,23,270},{5,30,740},{7,23,231},{9,31,266},{9,28,68},{10,24,97},{9,24,80},{14,11,723},{7,29,209},{8,25,17},{7,23,227},{15,17,723},
{7,23,227},{9,27,212},{9,27,212},{9,27,212},{9,24,208},{8,28,180},{8,25,17},{8,25,17},{8,22,18},{6,27,171},{7,23,62},{9,27,68},{9,27,68},{9,27,68},{9,24,64},{11,18,162},{8,25,1},{8,25,1},{8,22,2},{10,21,162},{8,22,2},{14,14,200},{9,28,4},{10,24,16},{9,24,16},{14,14,200},{14,20,200},{9,24,16},{0,23,218},{14,20,200},{0,23,218},{9,0,208},
{9,0,208},{9,0,208},{9,0,208},{8,25,16},{8,25,16},{8,25,16},{8,22,17},{7,24,8},{7,24,8},{9,31,570},{9,30,276},{9,26,457},{9,26,292},{9,30,740},{9,27,298},{9,25,45},{9,24,324},{6,30,727},{7,24,280},{10,30,201},{10,28,18},{10,26,21},{10,25,26},{13,17,723},{8,29,227},{9,25,29},{8,24,224},{13,21,723},{8,24,224},{9,30,272},{9,30,272},{9,30,272},
{9,26,276},{9,27,180},{9,25,29},{9,25,29},{9,23,33},{7,27,171},{8,23,41},{10,27,2},{10,27,2},{10,27,2},{10,24,5},{13,14,162},{8,27,5},{8,27,5},{8,23,5},{8,25,162},{8,23,5},{13,20,200},{9,30,4},{10,26,20},{9,26,20},{13,20,200},{13,23,202},{9,26,20},{0,24,208},{13,23,202},{0,24,208},{9,0,272},{9,0,272},{9,0,272},{9,0,272},{9,24,17},
{9,24,17},{9,24,17},{9,22,17},{7,25,10},{7,25,10},{10,31,468},{10,30,223},{10,27,283},{10,26,234},{9,31,835},{9,29,267},{9,27,33},{9,25,273},{7,30,747},{8,25,225},{11,29,283},{10,30,54},{11,26,97},{10,26,65},{15,13,723},{8,30,208},{9,27,17},{8,25,209},{11,25,723},{8,25,209},{10,29,219},{10,29,219},{10,29,219},{10,26,218},{9,30,180},{9,27,17},{9,27,17},
{9,24,20},{7,28,174},{8,24,17},{10,29,50},{10,29,50},{10,29,50},{10,26,49},{14,13,162},{9,27,1},{9,27,1},{9,24,4},{11,23,162},{9,24,4},{15,16,200},{10,30,5},{11,26,16},{10,26,16},{15,16,200},{15,22,200},{10,26,16},{0,25,208},{15,22,200},{0,25,208},{10,0,218},{10,0,218},{10,0,218},{10,0,218},{9,27,16},{9,27,16},{9,27,16},{9,24,20},{8,24,17},
{8,24,17},{11,31,632},{10,31,297},{11,28,425},{10,28,292},{10,31,804},{10,29,298},{10,27,61},{10,26,315},{7,31,823},{8,26,231},{11,31,232},{11,30,13},{11,28,25},{11,27,29},{15,16,723},{9,31,216},{10,27,45},{8,26,227},{15,22,723},{8,26,227},{10,31,288},{10,31,288},{10,31,288},{10,28,276},{10,29,180},{10,27,36},{10,27,36},{10,25,33},{7,30,189},{9,25,30},{11,29,0},
{11,29,0},{11,29,0},{11,27,4},{14,16,162},{9,29,4},{9,29,4},{9,25,5},{15,20,162},{9,25,5},{15,19,200},{11,30,13},{11,28,25},{10,28,20},{15,19,200},{13,26,200},{10,28,20},{0,26,218},{13,26,200},{0,26,218},{10,0,272},{10,0,272},{10,0,272},{10,0,272},{10,26,17},{10,26,17},{10,26,17},{10,24,17},{8,27,5},{8,27,5},{11,31,696},{11,31,237},{11,29,288},
{11,28,224},{11,31,888},{10,31,254},{10,29,33},{10,27,270},{8,31,824},{9,27,227},{12,31,283},{11,31,93},{12,28,97},{11,28,80},{13,25,723},{10,31,238},{10,29,17},{9,27,218},{12,27,723},{9,27,218},{11,31,212},{11,31,212},{11,31,212},{11,28,208},{10,31,196},{10,29,17},{10,29,17},{10,26,18},{8,30,171},{9,26,26},{11,31,68},{11,31,68},{11,31,68},{11,28,64},{13,22,162},
{10,29,1},{10,29,1},{10,26,2},{12,25,162},{10,26,2},{13,28,200},{11,31,29},{12,28,16},{11,28,16},{13,28,200},{11,30,200},{11,28,16},{0,27,218},{11,30,200},{0,27,218},{11,0,208},{11,0,208},{11,0,208},{11,0,208},{10,29,16},{10,29,16},{10,29,16},{10,26,17},{9,27,9},{9,27,9},{12,31,804},{12,31,492},{11,30,457},{11,30,292},{11,31,1080},{11,31,298},{11,29,45},
{11,28,324},{9,31,920},{9,28,218},{12,31,363},{12,31,51},{12,30,21},{12,29,26},{15,21,723},{11,31,282},{11,29,29},{9,28,217},{15,25,723},{9,28,217},{11,31,372},{11,31,372},{11,31,372},{11,30,276},{11,31,180},{11,29,29},{11,29,29},{11,27,33},{8,31,184},{10,27,41},{12,31,2},{12,31,2},{12,31,2},{12,28,5},{15,18,162},{10,31,5},{10,31,5},{10,27,5},{10,29,162},
{10,27,5},{15,24,200},{12,31,50},{12,30,20},{11,30,20},{15,24,200},{15,27,202},{11,30,20},{0,28,208},{15,27,202},{0,28,208},{11,0,272},{11,0,272},{11,0,272},{11,0,272},{11,28,17},{11,28,17},{11,28,17},{11,26,17},{9,29,8},{9,29,8},{12,31,996},{12,31,492},{12,31,283},{12,30,234},{12,31,1068},{11,31,458},{11,31,33},{11,29,273},{10,31,999},{10,29,225},{13,31,379},
{13,31,171},{13,30,97},{12,30,65},{14,27,723},{12,31,371},{11,31,17},{10,29,209},{13,29,723},{10,29,209},{12,31,267},{12,31,267},{12,31,267},{12,30,218},{12,30,333},{11,31,17},{11,31,17},{11,28,20},{9,31,212},{10,28,17},{13,30,81},{13,30,81},{13,30,81},{12,30,49},{13,27,162},{11,31,1},{11,31,1},{11,28,4},{13,27,162},{11,28,4},{15,27,202},{13,31,90},{13,30,16},
{12,30,16},{15,27,202},{15,28,202},{12,30,16},{0,29,208},{15,28,202},{0,29,208},{12,0,218},{12,0,218},{12,0,218},{12,0,218},{11,31,16},{11,31,16},{11,31,16},{11,28,20},{9,30,10},{9,30,10},{13,31,877},{13,31,605},{13,31,436},{12,31,288},{13,31,1021},{12,31,397},{12,31,36},{12,30,210},{11,31,910},{10,30,126},{14,31,414},{13,31,205},{13,31,36},{13,31,4},{15,26,546},
{13,31,317},{12,31,20},{10,30,122},{14,29,546},{10,30,122},{13,31,436},{13,31,436},{13,31,436},{12,31,288},{12,31,276},{12,31,36},{12,31,36},{12,29,33},{10,31,261},{11,29,30},{13,31,36},{13,31,36},{13,31,36},{13,31,4},{13,30,162},{12,31,20},{12,31,20},{11,29,5},{12,30,162},{11,29,5},{15,28,117},{14,31,61},{14,31,25},{13,31,4},{15,28,117},{14,31,117},{13,31,4},
{0,30,113},{14,31,117},{0,30,113},{12,0,272},{12,0,272},{12,0,272},{12,0,272},{12,30,17},{12,30,17},{12,30,17},{12,28,17},{10,31,5},{10,31,5},{13,31,845},{13,31,573},{13,31,404},{13,31,244},{13,31,797},{13,31,365},{12,31,196},{12,30,82},{12,31,737},{11,31,58},{14,31,190},{14,31,126},{14,31,90},{14,31,82},{14,31,334},{13,31,221},{13,31,52},{11,31,49},{14,30,333},
{11,31,49},{13,31,404},{13,31,404},{13,31,404},{13,31,244},{13,31,356},{12,31,196},{12,31,196},{12,30,18},{11,31,333},{11,30,26},{14,31,90},{14,31,90},{14,31,90},{14,31,82},{15,26,162},{13,31,52},{13,31,52},{12,30,2},{14,29,162},{12,30,2},{15,30,25},{15,30,41},{14,31,9},{14,31,1},{15,30,25},{15,30,29},{14,31,1},{0,31,49},{15,30,29},{0,31,49},{13,0,208},
{13,0,208},{13,0,208},{13,0,208},{12,31,52},{12,31,52},{12,31,52},{12,30,17},{11,31,9},{11,31,9},{14,31,642},{14,31,578},{14,31,542},{13,31,441},{14,31,690},{13,31,370},{13,31,201},{13,31,32},{13,31,610},{12,31,40},{14,31,201},{14,31,137},{14,31,101},{14,31,37},{15,29,193},{14,31,121},{14,31,85},{12,31,4},{14,31,193},{12,31,4},{14,31,542},{14,31,542},{14,31,542},
{13,31,441},{13,31,473},{13,31,201},{13,31,201},{13,31,32},{12,31,401},{12,31,40},{14,31,101},{14,31,101},{14,31,101},{14,31,37},{15,28,145},{14,31,85},{14,31,85},{12,31,4},{15,29,149},{12,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,272},{13,0,272},{13,0,272},{13,0,272},{13,31,32},
{13,31,32},{13,31,32},{13,30,17},{12,31,40},{12,31,40},{14,31,418},{14,31,354},{14,31,318},{14,31,254},{14,31,370},{14,31,242},{14,31,206},{13,31,32},{13,31,418},{13,31,80},{15,31,81},{15,31,81},{15,31,81},{15,31,81},{15,30,54},{14,31,73},{14,31,37},{14,31,9},{15,30,66},{14,31,9},{14,31,318},{14,31,318},{14,31,318},{14,31,254},{14,31,270},{14,31,206},{14,31,206},
{13,31,32},{13,31,249},{13,31,80},{15,31,81},{15,31,81},{15,31,81},{15,31,81},{15,29,45},{14,31,37},{14,31,37},{14,31,9},{15,30,41},{14,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{14,0,218},{14,0,218},{14,0,218},{14,0,218},{13,31,160},{13,31,160},{13,31,160},{13,31,32},{13,31,80},
{13,31,80},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{0,6,925},{0,5,658},{0,4,274},{0,3,670},{0,3,1039},{0,3,751},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{0,6,925},{0,5,658},{0,4,274},{0,3,670},{3,0,925},{0,3,670},{0,4,1},{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{0,1,98},{0,1,59},{0,4,1},
{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{1,0,85},{0,1,50},{1,6,421},{0,7,113},{0,5,5},{0,4,130},{1,6,421},{3,2,421},{0,4,130},{0,3,445},{3,2,421},{0,3,445},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,12,425},{0,9,52},{0,6,10},
{0,6,82},{0,8,1261},{0,6,805},{0,5,322},{0,4,833},{0,4,1445},{0,4,977},{0,12,425},{0,9,52},{0,6,10},{0,6,82},{0,8,1261},{0,6,805},{0,5,322},{0,4,833},{4,0,1261},{0,4,833},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{0,3,225},{0,3,117},{0,3,117},{0,2,125},{0,2,257},{0,2,161},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{1,0,221},
{0,3,117},{0,3,117},{0,2,125},{1,1,221},{0,2,125},{3,2,421},{0,9,52},{0,6,10},{0,6,82},{3,2,421},{5,1,421},{0,6,82},{0,4,433},{5,1,421},{0,4,433},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,14,430},{0,11,29},{0,7,74},{0,7,46},{0,10,1514},{0,8,874},{0,6,307},
{0,5,917},{0,5,1814},{0,4,1074},{0,14,430},{0,11,29},{0,7,74},{0,7,46},{3,0,1514},{0,8,874},{0,6,307},{0,5,917},{5,0,1514},{0,5,917},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{0,5,340},{0,5,160},{0,5,160},{0,3,169},{0,3,421},{0,3,250},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{1,2,338},{0,5,160},{0,5,160},{0,3,169},{1,2,338},
{0,3,169},{4,1,421},{0,11,20},{1,7,5},{0,7,37},{4,1,421},{7,0,421},{0,7,37},{0,5,433},{7,0,421},{0,5,433},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{0,17,542},{0,13,130},{0,9,285},{0,8,137},{0,12,1517},{0,9,737},{0,7,185},{0,6,794},{0,7,1982},{0,5,1062},{1,13,450},
{1,11,77},{1,8,34},{1,7,122},{3,3,1517},{0,9,737},{0,7,185},{0,6,794},{2,5,1514},{0,6,794},{0,12,121},{0,12,121},{0,12,121},{0,7,125},{0,8,338},{0,6,98},{0,6,98},{0,4,97},{0,4,514},{0,4,241},{1,9,25},{1,9,25},{1,9,25},{1,6,26},{0,8,338},{0,6,98},{0,6,98},{0,4,97},{4,0,338},{0,4,97},{5,0,421},{0,13,9},{1,8,9},
{0,8,16},{5,0,421},{8,0,421},{0,8,16},{0,6,433},{8,0,421},{0,6,433},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{1,16,697},{1,13,297},{1,9,354},{1,9,309},{0,15,1517},{0,11,630},{0,9,50},{0,7,670},{0,8,2198},{0,6,1109},{1,16,441},{1,13,41},{1,9,98},{1,9,53},{4,2,1514},
{0,11,630},{0,9,50},{0,7,670},{6,2,1514},{0,7,670},{1,12,273},{1,12,273},{1,12,273},{1,8,273},{0,11,338},{0,8,41},{0,8,41},{0,5,50},{0,6,680},{0,5,275},{1,12,17},{1,12,17},{1,12,17},{1,8,17},{3,1,338},{0,8,41},{0,8,41},{0,5,50},{3,3,338},{0,5,50},{6,0,421},{0,15,1},{2,9,5},{0,9,1},{6,0,421},{5,6,421},{0,9,1},
{0,7,445},{5,6,421},{0,7,445},{1,0,272},{1,0,272},{1,0,272},{1,0,272},{0,7,1},{0,7,1},{0,7,1},{0,4,0},{0,3,106},{0,3,106},{1,19,821},{1,15,405},{1,11,570},{1,10,410},{0,18,1514},{0,13,577},{0,10,14},{0,8,602},{0,10,2462},{0,7,1175},{2,16,450},{2,13,77},{2,10,35},{2,10,107},{3,8,1514},{0,13,577},{0,10,14},{0,8,602},{4,6,1514},
{0,8,602},{1,14,401},{1,14,401},{1,14,401},{1,9,404},{0,13,340},{0,10,13},{0,10,13},{0,6,29},{0,7,851},{0,6,353},{2,11,25},{2,11,25},{2,11,25},{2,8,26},{4,0,338},{0,10,13},{0,10,13},{0,6,29},{1,7,338},{0,6,29},{5,6,421},{1,15,5},{2,10,10},{0,10,10},{5,6,421},{10,1,421},{0,10,10},{0,8,433},{10,1,421},{0,8,433},{1,0,400},
{1,0,400},{1,0,400},{1,0,400},{0,9,1},{0,9,1},{0,9,1},{0,6,4},{0,4,208},{0,4,208},{1,22,902},{1,17,485},{2,11,750},{1,11,482},{0,21,1566},{0,15,570},{0,11,95},{0,9,582},{0,11,2337},{0,9,933},{2,18,430},{2,15,29},{2,11,74},{2,11,46},{5,4,1514},{0,15,521},{0,11,46},{0,9,533},{9,1,1514},{0,9,533},{1,17,481},{1,17,481},{1,17,481},
{1,11,481},{0,16,387},{0,12,51},{0,12,51},{0,7,75},{0,8,755},{0,7,222},{2,14,10},{2,14,10},{2,14,10},{2,10,10},{3,6,338},{0,12,2},{0,12,2},{0,7,26},{3,6,338},{0,7,26},{7,2,421},{1,17,4},{3,11,5},{1,11,1},{7,2,421},{12,0,421},{1,11,1},{0,9,433},{12,0,421},{0,9,433},{1,0,481},{1,0,481},{1,0,481},{1,0,481},{0,12,50},
{0,12,50},{0,12,50},{0,7,50},{0,6,157},{0,6,157},{2,21,866},{2,17,454},{2,13,609},{2,12,461},{1,20,1515},{1,15,578},{1,12,19},{1,10,603},{0,13,2214},{0,10,707},{3,17,450},{3,15,77},{3,12,34},{3,11,122},{7,0,1514},{0,16,458},{1,12,18},{0,10,482},{4,9,1514},{0,10,482},{2,16,445},{2,16,445},{2,16,445},{2,11,449},{1,15,341},{1,12,19},{1,12,19},
{1,8,26},{0,10,635},{0,8,106},{3,13,25},{3,13,25},{3,13,25},{3,10,26},{5,2,338},{0,14,2},{0,14,2},{0,9,20},{8,1,338},{0,9,20},{7,4,421},{2,17,9},{3,12,9},{1,12,9},{7,4,421},{11,3,421},{1,12,9},{0,10,433},{11,3,421},{0,10,433},{2,0,445},{2,0,445},{2,0,445},{2,0,445},{1,11,2},{1,11,2},{1,11,2},{1,7,10},{0,8,90},
{0,8,90},{2,24,902},{2,19,482},{3,13,723},{2,13,482},{1,23,1578},{1,17,566},{1,14,117},{1,11,590},{0,15,2046},{0,11,535},{3,20,441},{3,17,41},{3,13,98},{3,13,53},{7,3,1514},{0,18,429},{2,13,50},{0,11,454},{11,2,1514},{0,11,454},{2,19,481},{2,19,481},{2,19,481},{2,13,481},{1,18,404},{1,14,68},{1,14,68},{1,10,89},{0,12,557},{0,10,49},{3,16,17},
{3,16,17},{3,16,17},{3,12,17},{5,5,338},{1,14,4},{1,14,4},{0,10,13},{5,7,338},{0,10,13},{8,2,421},{2,19,1},{4,13,5},{2,13,1},{8,2,421},{14,1,421},{2,13,1},{0,11,445},{14,1,421},{0,11,445},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{1,14,64},{1,14,64},{1,14,64},{1,9,65},{0,10,40},{0,10,40},{3,23,854},{3,19,438},{3,15,603},
{3,14,443},{2,22,1515},{2,17,578},{2,14,15},{2,12,603},{0,16,1911},{0,12,458},{4,20,450},{4,17,77},{4,14,35},{4,14,107},{5,12,1514},{0,20,425},{2,14,14},{0,12,433},{13,1,1514},{0,12,433},{3,18,434},{3,18,434},{3,18,434},{3,13,437},{2,17,341},{2,14,14},{2,14,14},{2,10,30},{0,14,477},{0,11,35},{4,15,25},{4,15,25},{4,15,25},{4,12,26},{7,1,338},
{1,16,5},{1,16,5},{1,11,10},{10,2,338},{1,11,10},{8,5,421},{3,19,5},{4,14,10},{2,14,10},{8,5,421},{12,5,421},{2,14,10},{0,12,433},{12,5,421},{0,12,433},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{2,13,2},{2,13,2},{2,13,2},{2,10,5},{0,12,25},{0,12,25},{3,26,902},{3,21,485},{4,15,750},{3,15,482},{2,25,1566},{2,19,570},{2,15,95},
{2,13,582},{0,18,1787},{0,13,442},{4,22,430},{4,19,29},{4,15,74},{4,15,46},{8,3,1514},{1,20,425},{2,15,46},{0,13,442},{11,5,1514},{0,13,442},{3,21,481},{3,21,481},{3,21,481},{3,15,481},{2,20,387},{2,16,51},{2,16,51},{2,11,75},{0,16,419},{1,12,69},{4,18,10},{4,18,10},{4,18,10},{4,14,10},{5,10,338},{2,16,2},{2,16,2},{1,12,20},{12,1,338},
{1,12,20},{9,4,421},{3,21,4},{5,15,5},{3,15,1},{9,4,421},{15,3,421},{3,15,1},{0,13,433},{15,3,421},{0,13,433},{3,0,481},{3,0,481},{3,0,481},{3,0,481},{2,16,50},{2,16,50},{2,16,50},{2,11,50},{0,13,9},{0,13,9},{4,25,866},{4,21,454},{4,17,609},{4,16,461},{3,24,1515},{3,19,578},{3,16,19},{3,14,603},{0,20,1686},{1,14,458},{5,21,450},
{5,19,77},{5,16,34},{5,15,122},{3,24,1514},{1,22,425},{3,16,18},{1,14,433},{14,3,1514},{1,14,433},{4,20,445},{4,20,445},{4,20,445},{4,15,449},{3,19,341},{3,16,19},{3,16,19},{3,12,26},{0,17,372},{1,13,45},{5,17,25},{5,17,25},{5,17,25},{5,14,26},{8,1,338},{2,18,2},{2,18,2},{2,13,20},{10,5,338},{2,13,20},{11,0,421},{4,21,9},{5,16,9},
{3,16,9},{11,0,421},{13,7,421},{3,16,9},{0,14,433},{13,7,421},{0,14,433},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{3,15,2},{3,15,2},{3,15,2},{3,11,10},{0,15,5},{0,15,5},{4,28,902},{4,23,482},{5,17,723},{4,17,482},{3,27,1578},{3,21,566},{3,18,117},{3,15,590},{0,22,1614},{1,15,462},{5,24,441},{5,21,41},{5,17,98},{5,17,53},{5,20,1514},
{2,22,429},{4,17,50},{2,15,454},{13,6,1514},{2,15,454},{4,23,481},{4,23,481},{4,23,481},{4,17,481},{3,22,404},{3,18,68},{3,18,68},{3,14,89},{0,19,347},{2,14,49},{5,20,17},{5,20,17},{5,20,17},{5,16,17},{8,4,338},{3,18,4},{3,18,4},{2,14,13},{14,2,338},{2,14,13},{11,3,421},{4,23,1},{6,17,5},{4,17,1},{11,3,421},{15,6,421},{4,17,1},
{0,15,445},{15,6,421},{0,15,445},{4,0,481},{4,0,481},{4,0,481},{4,0,481},{3,18,64},{3,18,64},{3,18,64},{3,13,65},{1,16,8},{1,16,8},{5,27,854},{5,23,438},{5,19,603},{5,18,443},{4,26,1515},{4,21,578},{4,18,15},{4,16,603},{0,23,1566},{2,16,458},{6,24,450},{6,21,77},{6,18,35},{6,18,107},{11,1,1514},{2,24,425},{4,18,14},{2,16,433},{15,5,1514},
{2,16,433},{5,22,434},{5,22,434},{5,22,434},{5,17,437},{4,21,341},{4,18,14},{4,18,14},{4,14,30},{0,21,341},{2,15,35},{6,19,25},{6,19,25},{6,19,25},{6,16,26},{3,25,338},{3,20,5},{3,20,5},{3,15,10},{12,6,338},{3,15,10},{12,2,421},{5,23,5},{6,18,10},{4,18,10},{12,2,421},{14,9,421},{4,18,10},{0,16,433},{14,9,421},{0,16,433},{5,0,433},
{5,0,433},{5,0,433},{5,0,433},{4,17,2},{4,17,2},{4,17,2},{4,14,5},{1,17,10},{1,17,10},{5,30,902},{5,25,485},{6,19,750},{5,19,482},{4,29,1566},{4,23,570},{4,19,95},{4,17,582},{0,25,1533},{2,17,442},{6,26,430},{6,23,29},{6,19,74},{6,19,46},{10,7,1514},{3,24,425},{4,19,46},{2,17,442},{13,9,1514},{2,17,442},{5,25,481},{5,25,481},{5,25,481},
{5,19,481},{4,24,387},{4,20,51},{4,20,51},{4,15,75},{1,21,341},{3,16,69},{6,22,10},{6,22,10},{6,22,10},{6,18,10},{9,6,338},{4,20,2},{4,20,2},{3,16,20},{14,5,338},{3,16,20},{11,8,421},{5,25,4},{7,19,5},{5,19,1},{11,8,421},{11,14,421},{5,19,1},{0,17,433},{11,14,421},{0,17,433},{5,0,481},{5,0,481},{5,0,481},{5,0,481},{4,20,50},
{4,20,50},{4,20,50},{4,15,50},{2,17,9},{2,17,9},{6,29,866},{6,25,454},{6,21,609},{6,20,461},{5,28,1515},{5,23,578},{5,20,19},{5,18,603},{0,27,1521},{3,18,458},{7,25,450},{7,23,77},{7,20,34},{7,19,122},{12,3,1514},{3,26,425},{5,20,18},{3,18,433},{11,13,1514},{3,18,433},{6,24,445},{6,24,445},{6,24,445},{6,19,449},{5,23,341},{5,20,19},{5,20,19},
{5,16,26},{1,23,341},{3,17,45},{7,21,25},{7,21,25},{7,21,25},{7,18,26},{10,5,338},{4,22,2},{4,22,2},{4,17,20},{12,9,338},{4,17,20},{13,4,421},{6,25,9},{7,20,9},{5,20,9},{13,4,421},{15,11,421},{5,20,9},{0,18,433},{15,11,421},{0,18,433},{6,0,445},{6,0,445},{6,0,445},{6,0,445},{5,19,2},{5,19,2},{5,19,2},{5,15,10},{2,19,5},
{2,19,5},{6,31,914},{6,27,482},{7,21,723},{6,21,482},{5,31,1578},{5,25,566},{5,22,117},{5,19,590},{1,27,1535},{3,19,462},{7,28,441},{7,25,41},{7,21,98},{7,21,53},{8,19,1514},{4,26,429},{6,21,50},{4,19,454},{15,10,1514},{4,19,454},{6,27,481},{6,27,481},{6,27,481},{6,21,481},{5,26,404},{5,22,68},{5,22,68},{5,18,89},{2,23,347},{4,18,49},{7,24,17},
{7,24,17},{7,24,17},{7,20,17},{10,8,338},{5,22,4},{5,22,4},{4,18,13},{11,12,338},{4,18,13},{15,0,421},{6,27,1},{8,21,50},{6,21,1},{15,0,421},{13,15,421},{6,21,1},{0,19,445},{13,15,421},{0,19,445},{6,0,481},{6,0,481},{6,0,481},{6,0,481},{5,22,64},{5,22,64},{5,22,64},{5,17,65},{3,20,8},{3,20,8},{7,31,854},{7,27,438},{7,23,603},
{7,22,443},{6,30,1515},{6,25,578},{6,22,15},{6,20,603},{1,29,1518},{4,20,458},{7,31,565},{7,27,149},{8,22,174},{7,22,154},{13,5,1514},{4,28,425},{6,22,14},{4,20,433},{12,15,1514},{4,20,433},{7,26,434},{7,26,434},{7,26,434},{7,21,437},{6,25,341},{6,22,14},{6,22,14},{6,18,30},{2,25,341},{4,19,35},{7,26,145},{7,26,145},{7,26,145},{7,21,148},{9,14,338},
{5,24,5},{5,24,5},{5,19,10},{14,10,338},{5,19,10},{15,3,421},{7,27,5},{8,22,5},{6,22,10},{15,3,421},{15,14,421},{6,22,10},{0,20,433},{15,14,421},{0,20,433},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{6,21,2},{6,21,2},{6,21,2},{6,18,5},{3,21,10},{3,21,10},{7,31,1046},{7,29,485},{7,24,770},{7,23,482},{7,29,1598},{6,27,570},{6,23,95},
{6,21,582},{2,29,1533},{4,21,442},{8,28,450},{8,26,77},{8,23,35},{8,23,107},{15,1,1514},{5,28,425},{6,23,46},{4,21,442},{15,13,1514},{4,21,442},{7,29,481},{7,29,481},{7,29,481},{7,23,481},{6,28,387},{6,24,51},{6,24,51},{6,19,75},{3,25,341},{5,20,69},{8,24,25},{8,24,25},{8,24,25},{8,21,26},{11,10,338},{6,24,2},{6,24,2},{5,20,20},{5,23,338},
{5,20,20},{13,12,421},{7,29,4},{8,23,10},{7,23,1},{13,12,421},{13,18,421},{7,23,1},{0,21,433},{13,18,421},{0,21,433},{7,0,481},{7,0,481},{7,0,481},{7,0,481},{6,24,50},{6,24,50},{6,24,50},{6,19,50},{4,21,9},{4,21,9},{8,31,1106},{8,28,714},{8,24,749},{8,24,734},{7,31,1542},{7,27,578},{7,24,19},{7,22,603},{2,31,1521},{5,22,458},{8,31,430},
{8,28,38},{8,24,73},{8,24,58},{14,7,1514},{5,30,425},{7,24,18},{5,22,433},{13,17,1514},{5,22,433},{8,27,686},{8,27,686},{8,27,686},{8,23,686},{7,27,341},{7,24,19},{7,24,19},{7,20,26},{3,27,341},{5,21,45},{8,27,10},{8,27,10},{8,27,10},{8,23,10},{12,9,338},{6,26,2},{6,26,2},{6,21,20},{14,13,338},{6,21,20},{15,8,421},{7,31,20},{9,24,4},
{7,24,9},{15,8,421},{15,17,421},{7,24,9},{0,22,433},{15,17,421},{0,22,433},{8,0,685},{8,0,685},{8,0,685},{8,0,685},{7,23,2},{7,23,2},{7,23,2},{7,19,10},{4,23,5},{4,23,5},{8,31,1034},{8,30,438},{8,26,603},{8,25,443},{8,30,1806},{7,29,566},{7,26,117},{7,23,590},{3,31,1535},{5,23,462},{9,31,437},{9,28,77},{9,25,33},{9,25,98},{10,23,1514},
{6,30,429},{7,26,53},{6,23,454},{11,21,1514},{6,23,454},{8,29,434},{8,29,434},{8,29,434},{8,24,437},{7,30,404},{7,26,68},{7,26,68},{7,22,89},{4,27,347},{6,22,49},{9,26,17},{9,26,17},{9,26,17},{9,23,20},{15,2,338},{7,26,4},{7,26,4},{6,22,13},{13,16,338},{6,22,13},{15,11,421},{8,30,5},{9,25,17},{8,25,10},{15,11,421},{15,19,421},{8,25,10},
{0,23,445},{15,19,421},{0,23,445},{8,0,433},{8,0,433},{8,0,433},{8,0,433},{7,26,64},{7,26,64},{7,26,64},{7,21,65},{5,24,8},{5,24,8},{9,31,1174},{8,31,506},{9,26,723},{8,26,482},{8,31,1643},{7,30,717},{8,26,131},{7,24,725},{4,31,1566},{6,24,458},{9,31,549},{9,30,41},{9,26,98},{9,26,53},{15,9,1514},{7,30,461},{8,26,50},{6,24,433},{14,19,1514},
{6,24,433},{8,31,490},{8,31,490},{8,31,490},{8,26,481},{8,28,421},{8,25,122},{8,25,122},{8,22,131},{4,29,341},{6,23,35},{9,29,17},{9,29,17},{9,29,17},{9,25,17},{11,18,338},{7,28,5},{7,28,5},{7,23,10},{10,21,338},{7,23,10},{14,17,421},{9,30,25},{10,26,5},{8,26,1},{14,17,421},{13,23,421},{8,26,1},{0,24,433},{13,23,421},{0,24,433},{8,0,481},
{8,0,481},{8,0,481},{8,0,481},{8,24,82},{8,24,82},{8,24,82},{8,21,81},{5,25,10},{5,25,10},{9,31,1334},{9,31,470},{9,28,597},{9,27,443},{9,31,1815},{8,30,578},{8,27,15},{8,25,603},{5,31,1638},{6,25,442},{10,31,506},{10,30,77},{10,27,35},{10,27,107},{14,15,1514},{7,31,506},{8,27,14},{6,25,442},{12,23,1514},{6,25,442},{9,31,434},{9,31,434},{9,31,434},
{9,26,437},{8,30,341},{8,27,14},{8,27,14},{8,23,30},{5,29,341},{7,24,69},{10,28,25},{10,28,25},{10,28,25},{10,25,26},{13,14,338},{8,27,13},{8,27,13},{7,24,20},{8,25,338},{7,24,20},{15,16,421},{9,31,37},{10,27,10},{8,27,10},{15,16,421},{15,22,421},{8,27,10},{0,25,433},{15,22,421},{0,25,433},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{8,26,2},
{8,26,2},{8,26,2},{8,23,5},{6,25,9},{6,25,9},{10,31,1470},{10,31,735},{10,28,749},{9,28,481},{9,31,1895},{8,31,579},{8,28,89},{8,26,582},{6,31,1761},{7,26,458},{11,31,614},{10,31,59},{10,28,73},{10,28,58},{13,21,1514},{8,31,530},{8,28,40},{7,26,433},{15,21,1514},{7,26,433},{9,31,562},{9,31,562},{9,31,562},{9,28,481},{9,30,421},{8,29,51},{8,29,51},
{8,24,65},{5,31,341},{7,25,45},{10,31,10},{10,31,10},{10,31,10},{10,27,10},{14,13,338},{8,29,2},{8,29,2},{8,24,16},{11,23,338},{8,24,16},{15,19,421},{10,31,50},{11,28,4},{9,28,0},{15,19,421},{13,26,421},{9,28,0},{0,26,433},{13,26,421},{0,26,433},{9,0,481},{9,0,481},{9,0,481},{9,0,481},{8,29,50},{8,29,50},{8,29,50},{8,24,49},{6,27,5},
{6,27,5},{11,31,1838},{10,31,753},{10,30,603},{10,29,443},{10,31,2046},{9,31,629},{9,29,21},{9,27,589},{7,31,1935},{7,27,462},{11,31,749},{11,31,120},{11,29,33},{11,29,98},{12,27,1514},{9,31,629},{9,29,21},{7,27,461},{13,25,1514},{7,27,461},{10,31,497},{10,31,497},{10,31,497},{10,28,437},{9,31,388},{9,29,20},{9,29,20},{9,25,29},{6,31,347},{8,25,105},{11,30,17},
{11,30,17},{11,30,17},{11,27,20},{14,16,338},{8,31,4},{8,31,4},{8,26,10},{15,20,338},{8,26,10},{14,25,421},{11,31,104},{11,29,17},{10,29,10},{14,25,421},{12,29,421},{10,29,10},{0,27,445},{12,29,421},{0,27,445},{10,0,433},{10,0,433},{10,0,433},{10,0,433},{9,28,1},{9,28,1},{9,28,1},{9,25,4},{7,28,8},{7,28,8},{11,31,1902},{11,31,1001},{11,30,723},
{10,30,482},{11,31,2286},{10,31,782},{9,31,117},{9,28,578},{8,31,2118},{7,29,491},{12,31,770},{12,31,338},{11,30,98},{11,30,53},{14,23,1514},{10,31,701},{10,30,50},{8,28,442},{11,29,1514},{8,28,442},{11,31,677},{11,31,677},{11,31,677},{10,30,481},{10,31,437},{9,31,68},{9,31,68},{9,27,89},{7,31,379},{8,27,49},{11,31,52},{11,31,52},{11,31,52},{11,29,17},{13,22,338},
{9,31,4},{9,31,4},{8,27,13},{12,25,338},{8,27,13},{15,24,421},{12,31,169},{12,30,5},{10,30,1},{15,24,421},{15,27,421},{10,30,1},{0,28,433},{15,27,421},{0,28,433},{10,0,481},{10,0,481},{10,0,481},{10,0,481},{9,31,64},{9,31,64},{9,31,64},{9,26,65},{7,29,10},{7,29,10},{12,31,2151},{11,31,1254},{11,31,629},{11,31,442},{11,31,2393},{10,31,975},{10,31,14},
{10,29,570},{9,31,2241},{8,29,425},{13,31,931},{12,31,395},{12,31,34},{12,30,105},{13,29,1459},{11,31,778},{10,31,13},{8,29,400},{14,27,1459},{8,29,400},{11,31,629},{11,31,629},{11,31,629},{11,30,437},{10,31,581},{10,31,14},{10,31,14},{10,27,30},{8,31,477},{8,28,45},{12,31,34},{12,31,34},{12,31,34},{12,29,26},{15,18,338},{10,31,13},{10,31,13},{9,28,17},{10,29,338},
{9,28,17},{15,27,394},{13,31,218},{12,31,9},{10,31,9},{15,27,394},{15,28,394},{10,31,9},{0,29,400},{15,28,394},{0,29,400},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{10,30,2},{10,30,2},{10,30,2},{10,27,5},{8,29,25},{8,29,25},{12,31,1767},{12,31,1167},{12,31,806},{11,31,506},{12,31,1983},{11,31,747},{11,31,122},{10,29,346},{10,31,1836},{8,30,217},{13,31,611},
{13,31,339},{12,31,130},{12,31,10},{15,24,1064},{12,31,587},{11,31,41},{8,30,217},{15,27,1067},{8,30,217},{12,31,806},{12,31,806},{12,31,806},{11,31,506},{11,31,581},{11,31,122},{11,31,122},{10,28,65},{9,31,557},{9,29,69},{12,31,130},{12,31,130},{12,31,130},{12,31,10},{13,27,338},{11,31,41},{11,31,41},{10,28,16},{13,27,338},{10,28,16},{14,31,200},{14,31,136},{13,31,1},
{12,31,1},{14,31,200},{15,29,200},{12,31,1},{0,30,208},{15,29,200},{0,30,208},{11,0,481},{11,0,481},{11,0,481},{11,0,481},{11,30,82},{11,30,82},{11,30,82},{10,28,49},{8,30,9},{8,30,9},{13,31,1646},{12,31,1194},{12,31,833},{12,31,497},{12,31,1686},{12,31,750},{11,31,221},{11,30,122},{11,31,1541},{9,30,110},{14,31,542},{13,31,285},{13,31,116},{13,31,20},{15,26,722},
{13,31,429},{12,31,100},{10,30,74},{14,29,722},{10,30,74},{12,31,833},{12,31,833},{12,31,833},{12,31,497},{12,31,725},{11,31,221},{11,31,221},{11,29,29},{10,31,632},{9,30,46},{13,31,116},{13,31,116},{13,31,116},{13,31,20},{13,30,338},{12,31,100},{12,31,100},{10,30,10},{12,30,338},{10,30,10},{15,29,61},{14,31,37},{14,31,1},{13,31,4},{15,29,61},{15,30,61},{13,31,4},
{0,30,73},{15,30,61},{0,30,73},{12,0,433},{12,0,433},{12,0,433},{12,0,433},{11,31,25},{11,31,25},{11,31,25},{11,29,4},{9,31,17},{9,31,17},{13,31,1406},{13,31,1134},{13,31,965},{12,31,737},{13,31,1454},{12,31,702},{12,31,341},{11,31,89},{11,31,1381},{10,31,49},{14,31,318},{14,31,254},{14,31,218},{13,31,116},{14,31,510},{13,31,333},{13,31,164},{10,31,13},{14,30,509},
{10,31,13},{13,31,965},{13,31,965},{13,31,965},{12,31,737},{12,31,869},{12,31,341},{12,31,341},{11,31,89},{11,31,756},{10,31,49},{14,31,218},{14,31,218},{14,31,218},{13,31,116},{15,26,338},{13,31,164},{13,31,164},{10,31,13},{14,29,338},{10,31,13},{15,30,9},{15,31,9},{15,31,9},{14,31,9},{15,30,9},{15,31,9},{14,31,9},{0,31,9},{15,31,9},{0,31,9},{12,0,481},
{12,0,481},{12,0,481},{12,0,481},{12,31,85},{12,31,85},{12,31,85},{11,30,65},{10,31,40},{10,31,40},{13,31,1315},{13,31,1043},{13,31,874},{13,31,602},{13,31,1171},{13,31,627},{13,31,458},{12,31,5},{12,31,1087},{11,31,80},{14,31,225},{14,31,161},{14,31,125},{14,31,61},{15,29,297},{14,31,193},{14,31,157},{12,31,4},{14,31,297},{12,31,4},{13,31,874},{13,31,874},{13,31,874},
{13,31,602},{13,31,730},{13,31,458},{13,31,458},{12,31,5},{11,31,705},{11,31,80},{14,31,125},{14,31,125},{14,31,125},{14,31,61},{14,31,221},{14,31,157},{14,31,157},{12,31,4},{15,29,221},{12,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{12,31,101},
{12,31,101},{12,31,101},{12,31,5},{11,31,80},{11,31,80},{14,31,885},{14,31,821},{14,31,785},{13,31,650},{14,31,885},{13,31,483},{13,31,314},{13,31,81},{13,31,779},{11,31,144},{15,31,169},{14,31,145},{14,31,109},{14,31,45},{15,30,118},{14,31,81},{14,31,45},{13,31,0},{15,30,114},{13,31,0},{14,31,785},{14,31,785},{14,31,785},{13,31,650},{13,31,586},{13,31,314},{13,31,314},
{13,31,81},{12,31,518},{11,31,144},{14,31,109},{14,31,109},{14,31,109},{14,31,45},{15,29,85},{14,31,45},{14,31,45},{13,31,0},{14,31,85},{13,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,481},{13,0,481},{13,0,481},{13,0,481},{13,31,145},{13,31,145},{13,31,145},{13,31,81},{11,31,144},
{11,31,144},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{0,9,1899},{0,7,1355},{0,6,589},{0,4,1354},{0,5,2124},{0,4,1498},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{2,2,1896},{0,7,1355},{0,6,589},{0,4,1354},{1,4,1896},{0,4,1354},{0,6,0},{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{0,2,200},{0,1,134},{0,6,0},
{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{0,2,164},{0,2,104},{3,3,882},{0,10,225},{0,7,18},{0,6,265},{3,3,882},{4,3,882},{0,6,265},{0,5,890},{4,3,882},{0,5,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,15,884},{0,12,170},{0,8,8},
{0,7,202},{0,10,2360},{0,8,1530},{0,7,643},{0,5,1579},{0,6,2684},{0,5,1804},{0,15,884},{0,12,170},{0,8,8},{0,7,202},{1,7,2355},{0,8,1530},{0,7,643},{0,5,1579},{1,5,2355},{0,5,1579},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{0,4,340},{0,4,180},{0,4,180},{0,2,200},{0,2,392},{0,2,236},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{1,1,338},
{0,4,180},{0,4,180},{0,2,200},{2,0,340},{0,2,200},{4,2,882},{0,12,170},{0,8,8},{0,7,202},{4,2,882},{6,2,882},{0,7,202},{0,6,890},{6,2,882},{0,6,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{0,12,2899},{0,9,1773},{0,8,725},
{0,6,1854},{0,7,3348},{0,5,2124},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{1,9,2899},{0,9,1773},{0,8,725},{0,6,1854},{6,0,2899},{0,6,1854},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{0,6,580},{0,5,306},{0,5,306},{0,3,325},{0,3,667},{0,3,406},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{1,2,580},{0,5,306},{0,5,306},{0,3,325},{2,1,578},
{0,3,325},{3,8,882},{0,14,106},{1,9,13},{0,9,148},{3,8,882},{4,6,882},{0,9,148},{0,7,890},{4,6,882},{0,7,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,21,920},{0,16,89},{0,11,153},{0,10,121},{0,14,3051},{0,11,1709},{0,9,557},{0,7,1795},{0,8,3651},{0,6,2174},{0,21,920},
{0,16,89},{1,10,108},{0,10,121},{4,1,3048},{0,11,1709},{0,9,557},{0,7,1795},{3,5,3048},{0,7,1795},{0,14,37},{0,14,37},{0,14,37},{0,8,37},{0,8,648},{0,7,274},{0,7,274},{0,4,277},{0,4,824},{0,4,421},{0,14,37},{0,14,37},{0,14,37},{0,8,37},{0,8,648},{0,7,274},{0,7,274},{0,4,277},{4,0,648},{0,4,277},{5,4,882},{0,16,53},{1,10,8},
{0,10,85},{5,4,882},{9,1,882},{0,10,85},{0,8,900},{9,1,882},{0,8,900},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{0,23,1115},{0,18,242},{1,12,309},{0,11,259},{0,17,3051},{0,13,1579},{0,10,346},{0,8,1630},{0,9,3924},{0,7,2173},{1,20,885},{1,16,90},{1,12,53},{1,11,131},{4,4,3048},
{0,13,1579},{0,10,346},{0,8,1630},{7,2,3048},{0,8,1630},{0,17,226},{0,17,226},{0,17,226},{0,10,225},{0,11,648},{0,9,169},{0,9,169},{0,5,200},{0,6,990},{0,5,425},{1,13,2},{1,13,2},{1,13,2},{1,9,2},{3,1,648},{0,9,169},{0,9,169},{0,5,200},{3,3,648},{0,5,200},{5,7,882},{0,18,17},{2,11,18},{0,11,34},{5,7,882},{6,7,882},{0,11,34},
{0,9,890},{6,7,882},{0,9,890},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{1,23,1187},{1,18,350},{1,13,422},{1,12,373},{0,20,3048},{0,15,1443},{0,12,204},{0,9,1483},{0,11,4212},{0,8,2174},{1,23,931},{1,18,94},{2,12,108},{1,12,117},{6,0,3048},{0,15,1443},{0,12,204},{0,9,1483},{5,6,3048},
{0,9,1483},{1,16,305},{1,16,305},{1,16,305},{1,10,309},{0,13,650},{0,11,109},{0,11,109},{0,7,148},{0,7,1161},{0,6,473},{1,16,49},{1,16,49},{1,16,49},{1,10,53},{4,0,648},{0,11,109},{0,11,109},{0,7,148},{1,7,648},{0,7,148},{7,3,882},{0,20,8},{2,12,8},{0,12,8},{7,3,882},{11,2,882},{0,12,8},{0,10,890},{11,2,882},{0,10,890},{1,0,305},
{1,0,305},{1,0,305},{1,0,305},{0,8,1},{0,8,1},{0,8,1},{0,5,4},{0,3,145},{0,3,145},{1,25,1365},{1,20,497},{1,14,713},{1,13,510},{0,23,3051},{0,16,1278},{0,13,86},{0,10,1354},{0,12,4609},{0,9,2228},{2,22,886},{2,18,110},{2,14,56},{2,13,152},{5,6,3048},{0,16,1278},{0,13,86},{0,10,1354},{10,1,3048},{0,10,1354},{1,19,482},{1,19,482},{1,19,482},
{1,12,481},{0,16,648},{0,12,72},{0,12,72},{0,8,101},{0,8,1352},{0,7,557},{2,15,5},{2,15,5},{2,15,5},{2,11,5},{3,6,648},{0,12,72},{0,12,72},{0,8,101},{3,6,648},{0,8,101},{5,12,882},{0,21,10},{3,13,13},{0,13,5},{5,12,882},{13,1,882},{0,13,5},{0,11,890},{13,1,882},{0,11,890},{1,0,481},{1,0,481},{1,0,481},{1,0,481},{0,10,1},
{0,10,1},{0,10,1},{0,6,1},{0,5,261},{0,5,261},{1,28,1667},{1,22,793},{1,15,1182},{1,14,793},{0,25,3048},{0,18,1170},{0,14,36},{0,11,1243},{0,14,5005},{0,10,2318},{2,25,920},{2,20,89},{3,14,108},{2,14,121},{7,2,3048},{0,18,1170},{0,14,36},{0,11,1243},{12,0,3048},{0,11,1243},{1,21,786},{1,21,786},{1,21,786},{1,14,789},{0,19,650},{0,14,32},{0,14,32},
{0,9,50},{0,9,1619},{0,8,661},{2,18,37},{2,18,37},{2,18,37},{2,12,37},{5,2,648},{0,14,32},{0,14,32},{0,9,50},{8,1,648},{0,9,50},{8,3,882},{1,22,8},{3,14,8},{1,14,8},{8,3,882},{11,5,882},{1,14,8},{0,12,900},{11,5,882},{0,12,900},{1,0,785},{1,0,785},{1,0,785},{1,0,785},{0,13,1},{0,13,1},{0,13,1},{0,8,4},{0,6,405},
{0,6,405},{2,27,1844},{2,22,971},{2,16,1186},{2,15,988},{0,28,3084},{0,20,1095},{0,16,77},{0,12,1159},{0,16,4945},{0,12,2084},{3,24,885},{3,20,90},{3,16,53},{3,15,131},{6,8,3048},{0,20,1059},{0,16,41},{0,12,1123},{4,12,3048},{0,12,1123},{2,21,955},{2,21,955},{2,21,955},{2,14,954},{0,22,686},{0,16,41},{0,16,41},{0,10,49},{0,11,1577},{0,9,545},{3,17,2},
{3,17,2},{3,17,2},{3,13,2},{5,5,648},{0,16,5},{0,16,5},{0,10,13},{5,7,648},{0,10,13},{8,6,882},{1,24,9},{4,15,18},{1,15,13},{8,6,882},{15,2,882},{1,15,13},{0,13,890},{15,2,882},{0,13,890},{2,0,954},{2,0,954},{2,0,954},{2,0,954},{0,16,37},{0,16,37},{0,16,37},{0,9,40},{0,8,373},{0,8,373},{2,30,1772},{2,24,898},{2,17,1287},
{2,16,898},{1,27,3055},{1,20,1143},{1,16,33},{1,13,1214},{0,17,4639},{0,13,1730},{3,27,931},{3,22,94},{4,16,108},{3,16,117},{5,14,3048},{0,21,996},{1,16,29},{0,13,1054},{14,1,3048},{0,13,1054},{2,23,891},{2,23,891},{2,23,891},{2,16,894},{1,21,652},{1,16,29},{1,16,29},{1,11,44},{0,13,1452},{0,11,365},{3,20,49},{3,20,49},{3,20,49},{3,14,53},{7,1,648},
{0,18,1},{0,18,1},{0,11,4},{10,2,648},{0,11,4},{5,20,882},{2,24,8},{4,16,8},{2,16,8},{5,20,882},{13,6,882},{2,16,8},{0,14,890},{13,6,882},{0,14,890},{2,0,890},{2,0,890},{2,0,890},{2,0,890},{1,15,4},{1,15,4},{1,15,4},{1,10,5},{0,9,269},{0,9,269},{3,29,1838},{3,24,970},{3,18,1186},{3,17,983},{1,30,3084},{1,22,1095},{1,18,77},
{1,14,1159},{0,19,4419},{0,14,1444},{4,26,886},{4,22,110},{4,18,56},{4,17,152},{8,5,3048},{0,23,936},{1,18,41},{0,14,1003},{12,5,3048},{0,14,1003},{3,23,955},{3,23,955},{3,23,955},{3,16,954},{1,23,692},{1,18,41},{1,18,41},{1,12,46},{0,15,1296},{0,12,235},{4,19,5},{4,19,5},{4,19,5},{4,15,5},{5,10,648},{1,18,5},{1,18,5},{0,12,10},{12,1,648},
{0,12,10},{11,1,882},{2,25,10},{5,17,13},{2,17,5},{11,1,882},{15,5,882},{2,17,5},{0,15,890},{15,5,882},{0,15,890},{3,0,954},{3,0,954},{3,0,954},{3,0,954},{1,18,37},{1,18,37},{1,18,37},{1,11,40},{0,11,185},{0,11,185},{3,31,1790},{3,26,898},{3,19,1287},{3,18,898},{2,29,3057},{2,22,1179},{2,18,45},{1,15,1250},{0,20,4156},{0,15,1226},{4,29,920},
{4,24,89},{5,18,108},{4,18,121},{3,26,3048},{0,25,909},{2,18,36},{0,15,970},{15,3,3048},{0,15,970},{3,25,891},{3,25,891},{3,25,891},{3,18,894},{2,23,659},{2,18,41},{2,18,41},{2,13,59},{0,16,1137},{0,13,137},{4,22,37},{4,22,37},{4,22,37},{4,16,37},{8,1,648},{1,20,2},{1,20,2},{1,13,1},{10,5,648},{1,13,1},{10,7,882},{3,26,8},{5,18,8},
{3,18,8},{10,7,882},{13,9,882},{3,18,8},{0,16,900},{13,9,882},{0,16,900},{3,0,890},{3,0,890},{3,0,890},{3,0,890},{2,17,10},{2,17,10},{2,17,10},{2,12,13},{0,13,136},{0,13,136},{4,31,1844},{4,26,971},{4,20,1186},{4,19,988},{2,31,3111},{2,24,1095},{2,20,77},{2,16,1159},{0,22,3940},{0,16,1055},{5,28,885},{5,24,90},{5,20,53},{5,19,131},{5,22,3048},
{0,27,886},{2,20,41},{0,17,926},{8,13,3048},{0,17,926},{4,25,955},{4,25,955},{4,25,955},{4,18,954},{2,26,686},{2,20,41},{2,20,41},{2,14,49},{0,18,1002},{0,15,110},{5,21,2},{5,21,2},{5,21,2},{5,17,2},{8,4,648},{2,20,5},{2,20,5},{2,14,13},{14,2,648},{2,14,13},{13,0,882},{3,28,9},{6,19,18},{3,19,13},{13,0,882},{5,21,882},{3,19,13},
{0,17,890},{5,21,882},{0,17,890},{4,0,954},{4,0,954},{4,0,954},{4,0,954},{2,20,37},{2,20,37},{2,20,37},{2,13,40},{0,15,74},{0,15,74},{4,31,1972},{4,28,898},{4,21,1287},{4,20,898},{3,31,3055},{3,24,1143},{3,20,33},{3,17,1214},{0,23,3820},{0,18,963},{5,31,931},{5,26,94},{6,20,108},{5,20,117},{11,3,3048},{0,28,899},{3,20,29},{0,18,899},{11,11,3048},
{0,18,899},{4,27,891},{4,27,891},{4,27,891},{4,20,894},{3,25,652},{3,20,29},{3,20,29},{3,15,44},{0,20,876},{0,16,102},{5,24,49},{5,24,49},{5,24,49},{5,18,53},{3,25,648},{2,22,1},{2,22,1},{2,15,4},{12,6,648},{2,15,4},{8,19,882},{4,28,8},{6,20,8},{4,20,8},{8,19,882},{15,10,882},{4,20,8},{0,18,890},{15,10,882},{0,18,890},{4,0,890},
{4,0,890},{4,0,890},{4,0,890},{3,19,4},{3,19,4},{3,19,4},{3,14,5},{0,17,29},{0,17,29},{5,31,1964},{5,28,970},{5,22,1186},{5,21,983},{4,31,3172},{3,26,1095},{3,22,77},{3,18,1159},{0,25,3679},{0,19,899},{6,30,886},{6,26,110},{6,22,56},{6,21,152},{10,9,3048},{1,29,888},{3,22,41},{0,19,890},{14,9,3048},{0,19,890},{5,27,955},{5,27,955},{5,27,955},
{5,20,954},{3,27,692},{3,22,41},{3,22,41},{3,16,46},{0,22,800},{1,16,98},{6,23,5},{6,23,5},{6,23,5},{6,19,5},{9,6,648},{3,22,5},{3,22,5},{2,16,10},{14,5,648},{2,16,10},{13,5,882},{4,29,10},{7,21,13},{4,21,5},{13,5,882},{12,15,882},{4,21,5},{0,19,890},{12,15,882},{0,19,890},{5,0,954},{5,0,954},{5,0,954},{5,0,954},{3,22,37},
{3,22,37},{3,22,37},{3,15,40},{0,19,9},{0,19,9},{6,31,2264},{5,30,898},{5,23,1287},{5,22,898},{4,31,3204},{4,26,1179},{4,22,45},{3,19,1250},{0,27,3523},{0,20,908},{6,31,968},{6,28,89},{7,22,108},{6,22,121},{9,15,3048},{1,30,899},{4,22,36},{0,20,904},{5,22,3048},{0,20,904},{5,29,891},{5,29,891},{5,29,891},{5,22,894},{4,27,659},{4,22,41},{4,22,41},
{4,17,59},{0,23,747},{1,18,102},{6,26,37},{6,26,37},{6,26,37},{6,20,37},{10,5,648},{3,24,2},{3,24,2},{3,17,1},{12,9,648},{3,17,1},{15,1,882},{5,30,8},{7,22,8},{5,22,8},{15,1,882},{15,13,882},{5,22,8},{0,20,900},{15,13,882},{0,20,900},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{4,21,10},{4,21,10},{4,21,10},{4,16,13},{0,20,8},
{0,20,8},{6,31,2228},{6,30,971},{6,24,1186},{6,23,988},{5,31,3256},{4,28,1095},{4,24,77},{4,20,1159},{0,29,3364},{1,21,894},{7,31,915},{7,28,90},{7,24,53},{7,23,131},{14,1,3048},{2,31,886},{4,24,41},{1,21,890},{10,17,3048},{1,21,890},{6,29,955},{6,29,955},{6,29,955},{6,22,954},{4,30,686},{4,24,41},{4,24,41},{4,18,49},{0,25,705},{2,19,110},{7,25,2},
{7,25,2},{7,25,2},{7,21,2},{10,8,648},{4,24,5},{4,24,5},{4,18,13},{11,12,648},{4,18,13},{15,4,882},{6,30,17},{7,24,52},{5,23,13},{15,4,882},{9,22,882},{5,23,13},{0,21,890},{9,22,882},{0,21,890},{6,0,954},{6,0,954},{6,0,954},{6,0,954},{4,24,37},{4,24,37},{4,24,37},{4,17,40},{1,21,4},{1,21,4},{7,31,2444},{6,31,907},{6,25,1287},
{6,24,898},{6,31,3436},{5,28,1143},{5,24,33},{5,21,1214},{0,31,3276},{1,22,908},{8,30,1208},{7,30,94},{7,25,166},{7,24,117},{13,7,3048},{3,31,906},{5,24,29},{1,22,899},{13,15,3048},{1,22,899},{6,31,891},{6,31,891},{6,31,891},{6,24,894},{5,29,652},{5,24,29},{5,24,29},{5,19,44},{0,27,665},{2,20,102},{7,28,49},{7,28,49},{7,28,49},{7,22,53},{9,14,648},
{4,26,1},{4,26,1},{4,19,4},{14,10,648},{4,19,4},{10,23,882},{6,31,17},{8,24,13},{6,24,8},{10,23,882},{11,21,882},{6,24,8},{0,22,890},{11,21,882},{0,22,890},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{5,23,4},{5,23,4},{5,23,4},{5,18,5},{1,23,4},{1,23,4},{7,31,2636},{7,31,991},{7,26,1186},{7,25,983},{6,31,3532},{5,30,1095},{5,26,77},
{5,22,1159},{0,31,3340},{2,23,899},{8,31,1014},{7,31,262},{8,25,108},{7,25,254},{15,3,3048},{4,31,936},{5,26,41},{2,23,890},{11,19,3048},{2,23,890},{7,31,955},{7,31,955},{7,31,955},{7,24,954},{5,31,692},{5,26,41},{5,26,41},{5,20,46},{0,29,651},{3,20,98},{8,26,101},{8,26,101},{8,26,101},{8,22,101},{11,10,648},{5,26,5},{5,26,5},{4,20,10},{5,23,648},
{4,20,10},{15,9,882},{7,31,37},{8,25,8},{6,25,5},{15,9,882},{14,19,882},{6,25,5},{0,23,890},{14,19,882},{0,23,890},{7,0,954},{7,0,954},{7,0,954},{7,0,954},{5,26,37},{5,26,37},{5,26,37},{5,19,40},{2,23,9},{2,23,9},{8,31,3110},{7,31,1135},{7,27,1287},{7,26,898},{7,31,3652},{6,30,1179},{6,26,45},{5,23,1250},{1,31,3492},{2,24,908},{8,31,1174},
{8,31,110},{8,27,56},{8,26,152},{11,19,3048},{5,31,996},{6,26,36},{2,24,904},{9,23,3048},{2,24,904},{7,31,939},{7,31,939},{7,31,939},{7,26,894},{6,31,659},{6,26,41},{6,26,41},{6,21,59},{1,29,659},{3,22,102},{8,28,4},{8,28,4},{8,28,4},{8,24,8},{12,9,648},{5,28,2},{5,28,2},{5,21,1},{14,13,648},{5,21,1},{14,15,882},{8,31,106},{9,26,13},
{7,26,8},{14,15,882},{12,23,882},{7,26,8},{0,24,900},{12,23,882},{0,24,900},{7,0,890},{7,0,890},{7,0,890},{7,0,890},{6,25,10},{6,25,10},{6,25,10},{6,20,13},{2,24,8},{2,24,8},{8,31,3038},{8,31,1470},{8,28,1391},{7,27,1137},{7,31,4120},{6,31,1146},{6,28,77},{6,24,1159},{3,31,3681},{3,25,894},{9,31,1205},{8,31,245},{9,27,99},{8,27,122},{10,25,3048},
{6,31,1110},{6,28,41},{3,25,890},{12,21,3048},{3,25,890},{8,31,1274},{8,31,1274},{8,31,1274},{7,27,1128},{7,30,750},{6,28,41},{6,28,41},{6,22,49},{1,31,648},{4,23,110},{8,31,49},{8,31,49},{8,31,49},{8,25,53},{15,2,648},{6,28,5},{6,28,5},{6,22,13},{13,16,648},{6,22,13},{14,18,882},{9,31,164},{9,27,18},{7,27,13},{14,18,882},{11,26,882},{7,27,13},
{0,25,890},{11,26,882},{0,25,890},{7,0,1124},{7,0,1124},{7,0,1124},{7,0,1124},{6,28,37},{6,28,37},{6,28,37},{6,21,40},{3,25,4},{3,25,4},{9,31,3454},{8,31,1502},{8,29,1186},{8,28,983},{8,31,4077},{7,31,1230},{7,28,33},{7,25,1214},{4,31,3820},{3,26,908},{10,31,1368},{9,31,261},{9,29,53},{9,28,126},{15,11,3048},{7,31,1226},{7,28,29},{3,26,899},{15,19,3048},
{3,26,899},{8,31,1018},{8,31,1018},{8,31,1018},{8,27,954},{7,31,724},{7,28,29},{7,28,29},{7,23,44},{2,31,665},{4,24,102},{9,30,2},{9,30,2},{9,30,2},{9,26,2},{11,18,648},{6,30,1},{6,30,1},{6,23,4},{10,21,648},{6,23,4},{12,27,882},{10,31,225},{10,28,13},{7,28,20},{12,27,882},{13,25,882},{7,28,20},{0,26,890},{13,25,882},{0,26,890},{8,0,954},
{8,0,954},{8,0,954},{8,0,954},{7,27,4},{7,27,4},{7,27,4},{7,22,5},{3,27,4},{3,27,4},{9,31,3614},{9,31,1886},{8,30,1287},{8,29,898},{8,31,4381},{7,31,1582},{7,30,77},{7,26,1159},{5,31,4036},{4,27,899},{10,31,1560},{10,31,405},{10,29,108},{9,29,117},{14,17,3048},{8,31,1444},{7,30,41},{4,27,890},{13,23,3048},{4,27,890},{8,31,1146},{8,31,1146},{8,31,1146},
{8,29,894},{8,30,1011},{7,30,41},{7,30,41},{7,24,46},{3,31,705},{5,24,98},{9,31,85},{9,31,85},{9,31,85},{9,27,53},{13,14,648},{7,30,5},{7,30,5},{6,24,10},{8,25,648},{6,24,10},{14,23,882},{10,31,305},{10,29,8},{8,29,8},{14,23,882},{11,29,882},{8,29,8},{0,27,890},{11,29,882},{0,27,890},{8,0,890},{8,0,890},{8,0,890},{8,0,890},{7,30,37},
{7,30,37},{7,30,37},{7,23,40},{4,27,9},{4,27,9},{10,31,4072},{9,31,2174},{9,31,1186},{9,30,983},{9,31,4545},{8,31,1725},{8,30,207},{7,27,1250},{6,31,4339},{4,28,908},{11,31,1656},{10,31,645},{10,31,56},{10,30,152},{13,23,3048},{8,31,1604},{7,31,77},{4,28,904},{11,27,3048},{4,28,904},{9,31,1150},{9,31,1150},{9,31,1150},{9,29,954},{8,31,841},{8,29,193},{8,29,193},
{7,25,197},{4,31,747},{5,26,102},{10,31,20},{10,31,20},{10,31,20},{10,28,8},{14,13,648},{7,31,41},{7,31,41},{7,25,1},{11,23,648},{7,25,1},{13,29,882},{11,31,397},{11,30,13},{8,30,5},{13,29,882},{14,27,882},{8,30,5},{0,28,900},{14,27,882},{0,28,900},{9,0,954},{9,0,954},{9,0,954},{9,0,954},{8,27,122},{8,27,122},{8,27,122},{8,23,122},{4,28,8},
{4,28,8},{10,31,4147},{10,31,2404},{9,31,1429},{9,31,901},{10,31,4627},{9,31,1938},{8,31,38},{8,28,1061},{7,31,4330},{5,29,789},{12,31,1701},{11,31,715},{11,31,90},{10,31,113},{15,19,2814},{10,31,1554},{8,31,34},{5,29,785},{13,26,2814},{5,29,785},{9,31,1429},{9,31,1429},{9,31,1429},{9,31,901},{9,31,1022},{8,31,38},{8,31,38},{8,26,44},{5,31,840},{6,27,110},{11,31,90},
{11,31,90},{11,31,90},{10,29,53},{14,16,648},{8,31,34},{8,31,34},{7,26,20},{15,20,648},{7,26,20},{15,25,761},{12,31,425},{11,31,9},{9,31,1},{15,25,761},{12,31,761},{9,31,1},{0,29,785},{12,31,761},{0,29,785},{9,0,900},{9,0,900},{9,0,900},{9,0,900},{8,30,4},{8,30,4},{8,30,4},{8,25,5},{5,29,4},{5,29,4},{11,31,3735},{10,31,2356},{10,31,1395},
{10,31,954},{10,31,4099},{9,31,1618},{9,31,174},{8,29,686},{7,31,3930},{6,29,510},{12,31,1285},{12,31,685},{11,31,122},{11,31,37},{13,27,2249},{10,31,1186},{9,31,74},{6,29,485},{13,27,2249},{6,29,485},{10,31,1395},{10,31,1395},{10,31,1395},{10,31,954},{9,31,1086},{9,31,174},{9,31,174},{8,27,49},{6,31,969},{6,28,102},{11,31,122},{11,31,122},{11,31,122},{11,30,2},{13,22,648},
{9,31,74},{9,31,74},{8,27,13},{12,25,648},{8,27,13},{15,26,481},{13,31,269},{12,31,0},{10,31,0},{15,26,481},{15,28,481},{10,31,0},{0,29,481},{15,28,481},{0,29,481},{10,0,954},{10,0,954},{10,0,954},{10,0,954},{8,31,61},{8,31,61},{8,31,61},{8,26,40},{5,31,4},{5,31,4},{11,31,3399},{11,31,2260},{11,31,1635},{10,31,954},{11,31,3639},{10,31,1435},{9,31,238},
{9,29,430},{8,31,3443},{6,30,314},{13,31,1121},{12,31,525},{12,31,164},{11,31,53},{13,29,1769},{11,31,918},{10,31,113},{7,30,290},{14,27,1769},{7,30,290},{11,31,1635},{11,31,1635},{11,31,1635},{10,31,954},{10,31,1251},{9,31,238},{9,31,238},{9,28,41},{7,31,1105},{7,28,98},{12,31,164},{12,31,164},{12,31,164},{11,31,53},{15,18,648},{10,31,113},{10,31,113},{8,28,1},{10,29,648},
{8,28,1},{15,27,269},{13,31,173},{13,31,4},{11,31,4},{15,27,269},{14,30,265},{11,31,4},{0,30,289},{14,30,265},{0,30,289},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{9,31,13},{9,31,13},{9,31,13},{9,27,5},{6,31,9},{6,31,9},{12,31,3157},{11,31,2308},{11,31,1683},{11,31,1054},{11,31,3303},{10,31,1339},{10,31,378},{9,30,213},{9,31,3103},{7,30,166},{13,31,801},
{13,31,529},{12,31,260},{12,31,20},{15,24,1374},{12,31,777},{11,31,181},{8,30,117},{15,27,1377},{8,30,117},{11,31,1683},{11,31,1683},{11,31,1683},{11,31,1054},{10,31,1491},{10,31,378},{10,31,378},{9,29,46},{8,31,1331},{7,30,102},{12,31,260},{12,31,260},{12,31,260},{12,31,20},{13,27,648},{11,31,181},{11,31,181},{8,29,10},{13,27,648},{8,29,10},{15,28,117},{14,31,61},{14,31,25},
{13,31,4},{15,28,117},{14,31,117},{13,31,4},{0,30,113},{14,31,117},{0,30,113},{11,0,954},{11,0,954},{11,0,954},{11,0,954},{10,31,122},{10,31,122},{10,31,122},{9,28,40},{7,31,29},{7,31,29},{12,31,2860},{12,31,2260},{12,31,1899},{11,31,1261},{12,31,2932},{11,31,1310},{11,31,685},{10,30,108},{10,31,2731},{7,31,173},{13,31,747},{13,31,475},{13,31,306},{13,31,130},{15,26,1032},
{12,31,651},{12,31,290},{8,31,40},{14,29,1032},{8,31,40},{12,31,1899},{12,31,1899},{12,31,1899},{11,31,1261},{11,31,1620},{11,31,685},{11,31,685},{10,30,44},{9,31,1524},{8,30,134},{13,31,306},{13,31,306},{13,31,306},{13,31,130},{13,30,648},{12,31,290},{12,31,290},{9,30,5},{12,30,648},{9,30,5},{15,30,18},{15,30,34},{14,31,16},{14,31,0},{15,30,18},{15,30,26},{14,31,0},
{0,31,36},{15,30,26},{0,31,36},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{10,31,104},{10,31,104},{10,31,104},{10,29,5},{8,30,130},{8,30,130},{13,31,2732},{12,31,2276},{12,31,1915},{12,31,1315},{12,31,2660},{11,31,1414},{11,31,789},{10,31,45},{11,31,2487},{8,31,116},{14,31,524},{14,31,460},{14,31,424},{13,31,170},{14,31,776},{13,31,507},{13,31,338},{10,31,9},{14,30,771},
{10,31,9},{12,31,1915},{12,31,1915},{12,31,1915},{12,31,1315},{12,31,1699},{11,31,789},{11,31,789},{10,31,45},{10,31,1546},{8,31,116},{14,31,424},{14,31,424},{14,31,424},{13,31,170},{15,26,580},{13,31,338},{13,31,338},{10,31,9},{14,29,580},{10,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{12,0,954},
{12,0,954},{12,0,954},{12,0,954},{11,31,164},{11,31,164},{11,31,164},{10,30,40},{8,31,116},{8,31,116},{13,31,2156},{13,31,1884},{13,31,1715},{12,31,1251},{13,31,2132},{12,31,1108},{12,31,747},{11,31,5},{11,31,1927},{9,31,180},{14,31,300},{14,31,236},{14,31,200},{14,31,136},{15,28,451},{14,31,328},{13,31,194},{11,31,1},{15,29,456},{11,31,1},{13,31,1715},{13,31,1715},{13,31,1715},
{12,31,1251},{12,31,1347},{12,31,747},{12,31,747},{11,31,5},{10,31,1242},{9,31,180},{14,31,200},{14,31,200},{14,31,200},{14,31,136},{15,27,338},{13,31,194},{13,31,194},{11,31,1},{13,31,338},{11,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{11,31,260},
{11,31,260},{11,31,260},{11,31,5},{9,31,180},{9,31,180},{13,31,1836},{13,31,1564},{13,31,1395},{13,31,1123},{13,31,1620},{12,31,1012},{12,31,651},{11,31,85},{12,31,1564},{10,31,233},{14,31,204},{14,31,140},{14,31,104},{14,31,40},{15,29,216},{14,31,136},{14,31,100},{12,31,1},{14,31,216},{12,31,1},{13,31,1395},{13,31,1395},{13,31,1395},{13,31,1123},{13,31,1179},{12,31,651},{12,31,651},
{11,31,85},{11,31,998},{10,31,233},{14,31,104},{14,31,104},{14,31,104},{14,31,40},{15,28,162},{14,31,100},{14,31,100},{12,31,1},{15,29,164},{12,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,954},{13,0,954},{13,0,954},{13,0,954},{12,31,290},{12,31,290},{12,31,290},{11,31,85},{10,31,233},
{10,31,233},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{0,11,3379},{0,9,2369},{0,8,1061},{0,5,2435},{0,6,3760},{0,5,2660},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{1,8,3372},{0,9,2369},{0,8,1061},{0,5,2435},{5,1,3371},{0,5,2435},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{0,2,332},{0,2,200},{0,8,0},
{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{2,0,288},{0,2,164},{3,7,1568},{0,14,442},{0,10,40},{0,8,485},{3,7,1568},{8,0,1568},{0,8,485},{0,6,1586},{8,0,1568},{0,6,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,20,1570},{0,16,325},{0,11,5},
{0,9,392},{0,13,3968},{0,10,2630},{0,9,1121},{0,6,2710},{0,7,4484},{0,6,3034},{0,20,1570},{0,16,325},{0,11,5},{0,9,392},{1,10,3968},{0,10,2630},{0,9,1121},{0,6,2710},{5,2,3968},{0,6,2710},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{0,5,514},{0,5,274},{0,5,274},{0,3,289},{0,3,595},{0,3,370},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{1,2,512},
{0,5,274},{0,5,274},{0,3,289},{1,2,512},{0,3,289},{5,3,1568},{0,16,325},{0,11,5},{0,9,392},{5,3,1568},{4,7,1568},{0,9,392},{0,7,1586},{4,7,1568},{0,7,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{0,15,4652},{0,11,2945},{0,10,1217},
{0,7,3035},{0,8,5283},{0,7,3476},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{2,8,4651},{0,11,2945},{0,10,1217},{0,7,3035},{5,3,4651},{0,7,3035},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{0,7,802},{0,6,424},{0,6,424},{0,4,449},{0,3,931},{0,3,562},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{2,0,800},{0,6,424},{0,6,424},{0,4,449},{0,4,800},
{0,4,449},{1,19,1568},{0,17,225},{0,12,18},{0,11,292},{1,19,1568},{9,2,1568},{0,11,292},{0,8,1576},{9,2,1568},{0,8,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,1570},{0,19,149},{0,13,73},{0,12,194},{0,17,5424},{0,13,3368},{0,11,1349},{0,8,3449},{0,9,6213},{0,7,3956},{0,25,1570},
{0,19,149},{0,13,73},{0,12,194},{5,0,5419},{0,13,3368},{0,11,1349},{0,8,3449},{5,4,5419},{0,8,3449},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{0,8,1152},{0,7,610},{0,7,610},{0,4,625},{0,4,1328},{0,4,769},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{0,8,1152},{0,7,610},{0,7,610},{0,4,625},{4,0,1152},{0,4,625},{5,8,1568},{0,19,149},{1,13,13},
{0,12,194},{5,8,1568},{4,10,1568},{0,12,194},{0,9,1576},{4,10,1568},{0,9,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,28,1651},{0,21,155},{0,14,281},{0,13,198},{0,20,5424},{0,15,3099},{0,12,996},{0,9,3179},{0,10,6544},{0,8,3890},{1,24,1619},{0,21,155},{1,14,69},{0,13,198},{5,3,5419},
{0,15,3099},{0,12,996},{0,9,3179},{4,7,5419},{0,9,3179},{0,19,82},{0,19,82},{0,19,82},{0,11,82},{0,11,1152},{0,9,445},{0,9,445},{0,6,505},{0,6,1494},{0,5,737},{1,15,50},{1,15,50},{1,15,50},{1,10,49},{3,1,1152},{0,9,445},{0,9,445},{0,6,505},{3,3,1152},{0,6,505},{5,11,1568},{0,21,74},{1,14,20},{0,13,117},{5,11,1568},{11,3,1568},{0,13,117},
{0,10,1586},{11,3,1568},{0,10,1586},{0,0,81},{0,0,81},{0,0,81},{0,0,81},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,25},{0,1,25},{1,27,1825},{0,23,323},{1,15,342},{0,14,361},{0,22,5420},{0,16,2834},{0,13,726},{0,10,2966},{0,11,6916},{0,9,3860},{1,27,1569},{1,21,131},{1,15,86},{1,14,181},{1,19,5419},{0,16,2834},{0,13,726},{0,10,2966},{9,2,5419},
{0,10,2966},{1,18,257},{1,18,257},{1,18,257},{1,12,261},{0,13,1154},{0,11,337},{0,11,337},{0,7,388},{0,7,1665},{0,6,749},{1,18,1},{1,18,1},{1,18,1},{1,12,5},{4,0,1152},{0,11,337},{0,11,337},{0,7,388},{1,7,1152},{0,7,388},{8,2,1568},{0,23,34},{2,15,5},{0,14,72},{8,2,1568},{13,2,1568},{0,14,72},{0,11,1586},{13,2,1568},{0,11,1586},{1,0,257},
{1,0,257},{1,0,257},{1,0,257},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,2,85},{0,2,85},{1,30,1907},{1,23,411},{1,16,542},{1,15,454},{0,25,5424},{0,18,2630},{0,15,486},{0,11,2771},{0,13,7299},{0,11,3860},{2,26,1634},{1,23,155},{2,16,82},{1,15,198},{5,8,5419},{0,18,2630},{0,15,486},{0,11,2771},{4,10,5419},{0,11,2771},{1,21,338},{1,21,338},{1,21,338},
{1,13,338},{0,16,1152},{0,13,274},{0,13,274},{0,8,305},{0,8,1856},{0,7,797},{2,17,64},{2,17,64},{2,17,64},{2,12,65},{3,6,1152},{0,13,274},{0,13,274},{0,8,305},{3,6,1152},{0,8,305},{3,23,1568},{0,25,17},{2,16,18},{0,15,45},{3,23,1568},{11,6,1568},{0,15,45},{0,12,1576},{11,6,1568},{0,12,1576},{1,0,337},{1,0,337},{1,0,337},{1,0,337},{0,8,1},
{0,8,1},{0,8,1},{0,5,0},{0,4,169},{0,4,169},{1,31,2145},{1,25,590},{1,17,915},{1,16,619},{0,27,5420},{0,20,2424},{0,16,282},{0,12,2552},{0,15,7711},{0,11,3908},{2,29,1570},{2,23,149},{2,17,73},{2,16,194},{7,4,5419},{0,20,2424},{0,16,282},{0,12,2552},{9,5,5419},{0,12,2552},{1,23,546},{1,23,546},{1,23,546},{1,15,546},{0,19,1154},{0,15,194},{0,15,194},
{0,9,218},{0,9,2123},{0,8,865},{2,20,1},{2,20,1},{2,20,1},{2,13,4},{5,2,1152},{0,15,194},{0,15,194},{0,9,218},{8,1,1152},{0,9,218},{9,4,1568},{0,27,5},{3,17,13},{0,16,26},{9,4,1568},{9,10,1568},{0,16,26},{0,13,1576},{9,10,1568},{0,13,1576},{1,0,545},{1,0,545},{1,0,545},{1,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},
{0,5,289},{2,31,2746},{1,27,945},{2,18,1370},{1,17,977},{0,30,5420},{0,22,2243},{0,17,145},{0,13,2386},{0,16,8161},{0,13,3986},{3,28,1619},{2,25,155},{3,18,69},{2,17,198},{8,2,5419},{0,22,2243},{0,17,145},{0,13,2386},{13,2,5419},{0,13,2386},{1,26,932},{1,26,932},{1,26,932},{1,16,936},{0,22,1154},{0,17,109},{0,17,109},{0,10,145},{0,11,2441},{0,9,1001},{3,19,50},
{3,19,50},{3,19,50},{3,14,49},{5,5,1152},{0,17,109},{0,17,109},{0,10,145},{5,7,1152},{0,10,145},{11,0,1568},{0,29,10},{3,18,20},{0,18,8},{11,0,1568},{13,7,1568},{0,18,8},{0,14,1586},{13,7,1568},{0,14,1586},{1,0,932},{1,0,932},{1,0,932},{1,0,932},{0,14,1},{0,14,1},{0,14,1},{0,8,1},{0,6,468},{0,6,468},{2,31,3146},{2,27,1412},{2,19,1743},
{1,19,1441},{0,31,5515},{0,23,2096},{0,19,69},{0,14,2251},{0,18,8669},{0,14,4100},{3,31,1569},{3,25,131},{3,19,86},{3,18,181},{3,23,5419},{0,23,2096},{0,19,69},{0,14,2251},{11,6,5419},{0,14,2251},{2,25,1379},{2,25,1379},{2,25,1379},{2,17,1379},{0,24,1152},{0,18,61},{0,18,61},{0,11,100},{0,12,2859},{0,10,1157},{3,22,1},{3,22,1},{3,22,1},{3,16,5},{7,1,1152},
{0,18,61},{0,18,61},{0,11,100},{10,2,1152},{0,11,100},{10,6,1568},{1,29,2},{4,19,5},{0,19,5},{10,6,1568},{15,6,1568},{0,19,5},{0,15,1586},{15,6,1568},{0,15,1586},{2,0,1378},{2,0,1378},{2,0,1378},{2,0,1378},{0,16,1},{0,16,1},{0,16,1},{0,10,1},{0,8,657},{0,8,657},{2,31,3802},{2,29,1603},{2,21,2148},{2,19,1631},{1,31,5655},{0,25,2005},{0,20,31},
{0,15,2138},{0,19,8963},{0,15,4070},{4,30,1634},{3,27,155},{4,20,82},{3,19,198},{9,4,5419},{0,25,2001},{0,20,27},{0,15,2134},{9,10,5419},{0,15,2134},{2,28,1587},{2,28,1587},{2,28,1587},{2,18,1590},{0,27,1158},{0,20,22},{0,20,22},{0,12,62},{0,14,3075},{0,11,1221},{4,21,64},{4,21,64},{4,21,64},{4,16,65},{5,10,1152},{0,20,18},{0,20,18},{0,12,58},{12,1,1152},
{0,12,58},{12,2,1568},{1,31,10},{4,20,18},{0,20,18},{12,2,1568},{13,10,1568},{0,20,18},{0,16,1576},{13,10,1568},{0,16,1576},{2,0,1586},{2,0,1586},{2,0,1586},{2,0,1586},{0,19,4},{0,19,4},{0,19,4},{0,11,8},{0,9,769},{0,9,769},{3,31,3890},{2,31,1623},{3,21,2180},{2,20,1644},{1,31,5863},{0,27,1989},{1,21,109},{0,17,2117},{0,21,8560},{0,16,3545},{4,31,1640},
{4,27,149},{4,21,73},{4,20,194},{10,3,5419},{0,27,1889},{0,21,49},{0,17,2017},{11,9,5419},{0,17,2017},{2,30,1619},{2,30,1619},{2,30,1619},{2,20,1619},{1,26,1188},{1,20,86},{1,20,86},{1,13,121},{0,16,2801},{0,13,949},{4,24,1},{4,24,1},{4,24,1},{4,17,4},{8,1,1152},{0,22,2},{0,22,2},{0,14,26},{10,5,1152},{0,14,26},{11,8,1568},{2,31,5},{5,21,13},
{1,21,9},{11,8,1568},{11,14,1568},{1,21,9},{0,17,1576},{11,14,1568},{0,17,1576},{2,0,1618},{2,0,1618},{2,0,1618},{2,0,1618},{1,18,37},{1,18,37},{1,18,37},{1,12,37},{0,10,625},{0,10,625},{4,31,4308},{3,31,1589},{3,23,2160},{3,21,1621},{2,31,5895},{1,27,1999},{1,22,33},{1,18,2124},{0,23,8196},{0,17,3043},{5,31,1667},{4,29,155},{5,22,69},{4,21,198},{10,6,5419},
{0,29,1772},{1,22,24},{0,18,1875},{15,6,5419},{0,18,1875},{3,30,1576},{3,30,1576},{3,30,1576},{3,20,1580},{1,29,1161},{1,22,29},{1,22,29},{1,15,58},{0,17,2529},{0,14,656},{5,23,50},{5,23,50},{5,23,50},{5,18,49},{8,4,1152},{0,24,1},{0,24,1},{0,15,1},{14,2,1152},{0,15,1},{13,4,1568},{3,31,13},{5,22,20},{2,22,8},{13,4,1568},{15,11,1568},{2,22,8},
{0,18,1586},{15,11,1568},{0,18,1586},{3,0,1576},{3,0,1576},{3,0,1576},{3,0,1576},{1,21,10},{1,21,10},{1,21,10},{1,14,13},{0,12,520},{0,12,520},{4,31,4436},{3,31,1765},{4,23,2175},{3,23,1669},{3,31,6079},{1,29,1977},{2,23,105},{1,19,2107},{0,24,7969},{0,18,2675},{6,31,1832},{5,29,131},{5,23,86},{5,22,181},{12,2,5419},{0,30,1699},{1,23,62},{0,19,1782},{13,10,5419},
{0,19,1782},{3,31,1665},{3,31,1665},{3,31,1665},{3,22,1640},{2,28,1188},{2,22,97},{2,22,97},{2,15,136},{0,19,2313},{0,15,474},{5,26,1},{5,26,1},{5,26,1},{5,20,5},{3,25,1152},{1,24,5},{1,24,5},{0,16,2},{12,6,1152},{0,16,2},{15,0,1568},{4,31,34},{6,23,5},{2,23,5},{15,0,1568},{12,16,1568},{2,23,5},{0,19,1586},{12,16,1568},{0,19,1586},{3,0,1640},
{3,0,1640},{3,0,1640},{3,0,1640},{2,20,37},{2,20,37},{2,20,37},{2,14,37},{0,14,400},{0,14,400},{5,31,4740},{4,31,1716},{4,25,2148},{4,23,1631},{3,31,6351},{2,29,2005},{2,24,31},{2,19,2138},{0,26,7669},{0,19,2375},{6,31,1832},{5,31,155},{6,24,82},{5,23,198},{11,8,5419},{0,31,1712},{2,24,27},{0,20,1720},{11,14,5419},{0,20,1720},{4,31,1595},{4,31,1595},{4,31,1595},
{4,22,1590},{2,31,1158},{2,24,22},{2,24,22},{2,16,62},{0,21,2091},{0,17,306},{6,25,64},{6,25,64},{6,25,64},{6,20,65},{9,6,1152},{1,26,1},{1,26,1},{1,17,5},{14,5,1152},{1,17,5},{14,6,1568},{5,31,74},{6,24,18},{2,24,18},{14,6,1568},{15,14,1568},{2,24,18},{0,20,1576},{15,14,1568},{0,20,1576},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{2,23,4},
{2,23,4},{2,23,4},{2,15,8},{0,16,277},{0,16,277},{5,31,5060},{5,31,1980},{5,25,2180},{4,24,1644},{4,31,6508},{2,31,1989},{3,25,109},{2,21,2117},{0,28,7364},{0,21,2098},{7,31,1952},{6,31,149},{6,25,73},{6,24,194},{12,7,5419},{1,31,1804},{2,25,49},{0,21,1657},{13,13,5419},{0,21,1657},{4,31,1739},{4,31,1739},{4,31,1739},{4,24,1619},{3,30,1188},{3,24,86},{3,24,86},
{3,17,121},{0,22,1928},{0,18,194},{6,28,1},{6,28,1},{6,28,1},{6,21,4},{10,5,1152},{2,26,2},{2,26,2},{1,18,2},{12,9,1152},{1,18,2},{13,12,1568},{6,31,149},{7,25,13},{3,25,9},{13,12,1568},{13,18,1568},{3,25,9},{0,21,1576},{13,18,1568},{0,21,1576},{4,0,1618},{4,0,1618},{4,0,1618},{4,0,1618},{3,22,37},{3,22,37},{3,22,37},{3,16,37},{0,18,193},
{0,18,193},{6,31,5316},{5,31,2160},{5,27,2160},{5,25,1621},{5,31,6800},{3,31,1999},{3,26,33},{3,22,2124},{0,29,7068},{0,22,1836},{7,31,2195},{7,31,270},{7,26,69},{6,25,198},{15,0,5419},{2,31,1970},{3,26,24},{0,22,1611},{12,16,5419},{0,22,1611},{5,31,1676},{5,31,1676},{5,31,1676},{5,24,1580},{3,31,1233},{3,26,29},{3,26,29},{3,19,58},{0,24,1798},{0,19,157},{7,27,50},
{7,27,50},{7,27,50},{7,22,49},{10,8,1152},{2,28,1},{2,28,1},{2,19,1},{11,12,1152},{2,19,1},{15,8,1568},{7,31,221},{7,26,20},{4,26,8},{15,8,1568},{11,22,1568},{4,26,8},{0,22,1586},{11,22,1568},{0,22,1586},{5,0,1576},{5,0,1576},{5,0,1576},{5,0,1576},{3,25,10},{3,25,10},{3,25,10},{3,18,13},{0,20,106},{0,20,106},{6,31,5828},{6,31,2435},{6,27,2175},
{5,27,1669},{5,31,7184},{4,31,2132},{4,27,105},{3,23,2107},{0,31,6820},{0,23,1690},{8,31,2306},{7,31,334},{7,27,86},{7,26,181},{14,6,5419},{4,31,2096},{3,27,62},{0,23,1590},{15,14,5419},{0,23,1590},{6,31,1859},{6,31,1859},{6,31,1859},{5,26,1640},{4,31,1220},{4,26,97},{4,26,97},{4,19,136},{0,26,1650},{0,21,161},{7,30,1},{7,30,1},{7,30,1},{7,24,5},{9,14,1152},
{3,28,5},{3,28,5},{2,20,2},{14,10,1152},{2,20,2},{14,14,1568},{7,31,333},{8,27,40},{4,27,5},{14,14,1568},{14,20,1568},{4,27,5},{0,23,1586},{14,20,1568},{0,23,1586},{5,0,1640},{5,0,1640},{5,0,1640},{5,0,1640},{4,24,37},{4,24,37},{4,24,37},{4,18,37},{0,22,58},{0,22,58},{7,31,6036},{6,31,2835},{6,29,2148},{6,27,1631},{6,31,7316},{4,31,2228},{4,28,31},
{4,23,2138},{0,31,6884},{0,24,1613},{8,31,2402},{8,31,666},{8,28,269},{7,27,198},{13,12,5419},{4,31,2224},{4,28,27},{0,24,1577},{13,18,5419},{0,24,1577},{6,31,1811},{6,31,1811},{6,31,1811},{6,26,1590},{5,31,1356},{4,28,22},{4,28,22},{4,20,62},{0,28,1508},{1,21,137},{7,31,106},{7,31,106},{7,31,106},{7,25,82},{11,10,1152},{3,30,1},{3,30,1},{3,21,5},{5,23,1152},
{3,21,5},{13,20,1568},{8,31,410},{8,28,13},{4,28,18},{13,20,1568},{13,23,1570},{4,28,18},{0,24,1576},{13,23,1570},{0,24,1576},{6,0,1586},{6,0,1586},{6,0,1586},{6,0,1586},{4,27,4},{4,27,4},{4,27,4},{4,19,8},{0,24,37},{0,24,37},{7,31,6740},{7,31,3135},{7,29,2180},{6,28,1644},{7,31,7676},{5,31,2448},{5,29,109},{4,25,2117},{1,31,7196},{0,25,1593},{9,31,2594},
{8,31,698},{8,29,82},{8,28,345},{14,11,5419},{5,31,2412},{4,29,49},{1,25,1580},{15,17,5419},{1,25,1580},{7,31,1979},{7,31,1979},{7,31,1979},{6,28,1619},{5,31,1388},{5,28,86},{5,28,86},{5,21,121},{0,30,1416},{1,23,161},{8,30,64},{8,30,64},{8,30,64},{8,25,65},{12,9,1152},{4,30,2},{4,30,2},{3,22,2},{14,13,1152},{3,22,2},{15,16,1568},{9,31,530},{8,29,18},
{5,29,9},{15,16,1568},{15,22,1568},{5,29,9},{0,25,1576},{15,22,1568},{0,25,1576},{6,0,1618},{6,0,1618},{6,0,1618},{6,0,1618},{5,26,37},{5,26,37},{5,26,37},{5,20,37},{0,25,17},{0,25,17},{8,31,6906},{7,31,3909},{7,31,2160},{7,29,1621},{7,31,8144},{6,31,2902},{5,30,33},{5,26,2124},{2,31,7661},{1,26,1615},{9,31,2945},{9,31,1025},{8,30,86},{8,29,181},{14,14,5419},
{7,31,2694},{5,30,24},{1,26,1590},{14,20,5419},{1,26,1590},{7,31,2060},{7,31,2060},{7,31,2060},{7,28,1580},{6,31,1476},{5,30,29},{5,30,29},{5,23,58},{0,31,1324},{2,23,157},{8,31,37},{8,31,37},{8,31,37},{8,27,5},{15,2,1152},{5,30,20},{5,30,20},{4,23,1},{13,16,1152},{4,23,1},{15,19,1568},{10,31,637},{9,30,5},{6,30,8},{15,19,1568},{13,26,1568},{6,30,8},
{0,26,1586},{13,26,1568},{0,26,1586},{7,0,1576},{7,0,1576},{7,0,1576},{7,0,1576},{5,29,10},{5,29,10},{5,29,10},{5,22,13},{0,28,10},{0,28,10},{8,31,7386},{8,31,4250},{8,31,2490},{7,31,1669},{8,31,8461},{6,31,3350},{6,31,105},{5,27,2107},{4,31,8004},{1,27,1611},{10,31,3112},{9,31,1361},{9,31,69},{8,30,198},{13,20,5419},{7,31,2950},{5,31,62},{2,27,1590},{11,25,5420},
{2,27,1590},{8,31,2486},{8,31,2486},{8,31,2486},{7,30,1640},{6,31,1700},{6,30,97},{6,30,97},{6,23,136},{1,31,1424},{2,25,161},{9,31,65},{9,31,65},{9,31,65},{9,27,49},{11,18,1152},{5,31,58},{5,31,58},{4,24,2},{10,21,1152},{4,24,2},{13,28,1568},{11,31,785},{9,31,20},{6,31,5},{13,28,1568},{11,30,1568},{6,31,5},{0,27,1586},{11,30,1568},{0,27,1586},{7,0,1640},
{7,0,1640},{7,0,1640},{7,0,1640},{6,28,37},{6,28,37},{6,28,37},{6,22,37},{1,28,10},{1,28,10},{9,31,7014},{8,31,4230},{8,31,2294},{8,31,1846},{8,31,7865},{7,31,3114},{6,31,85},{6,27,1706},{4,31,7436},{2,28,1289},{11,31,2852},{10,31,1221},{9,31,145},{9,30,114},{13,22,4803},{8,31,2648},{6,31,81},{2,28,1253},{12,25,4803},{2,28,1253},{8,31,2294},{8,31,2294},{8,31,2294},
{8,30,1811},{7,31,1740},{6,31,85},{6,31,85},{6,24,62},{2,31,1577},{3,25,137},{9,31,145},{9,31,145},{9,31,145},{9,29,5},{13,14,1152},{6,31,81},{6,31,81},{5,25,5},{8,25,1152},{5,25,5},{15,23,1250},{11,31,689},{10,31,4},{7,31,9},{15,23,1250},{11,31,1250},{7,31,9},{0,28,1252},{11,31,1250},{0,28,1252},{8,0,1810},{8,0,1810},{8,0,1810},{8,0,1810},{6,31,4},
{6,31,4},{6,31,4},{6,23,8},{1,29,8},{1,29,8},{9,31,6534},{9,31,4134},{8,31,2486},{8,31,1590},{9,31,7237},{7,31,2970},{7,31,161},{6,28,1256},{5,31,6748},{2,29,949},{11,31,2340},{10,31,1125},{10,31,164},{9,31,97},{15,17,4056},{9,31,2244},{7,31,125},{3,28,909},{12,26,4056},{3,28,909},{8,31,2486},{8,31,2486},{8,31,2486},{8,31,1590},{7,31,2156},{7,31,161},{7,31,161},
{7,25,121},{3,31,1729},{3,27,161},{10,31,164},{10,31,164},{10,31,164},{10,29,65},{14,13,1152},{7,31,125},{7,31,125},{5,26,2},{11,23,1152},{5,26,2},{13,31,882},{12,31,482},{11,31,0},{8,31,4},{13,31,882},{15,27,882},{8,31,4},{0,28,900},{15,27,882},{0,28,900},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{7,30,37},{7,30,37},{7,30,37},{7,24,37},{1,31,16},
{1,31,16},{10,31,6091},{9,31,4053},{9,31,2609},{8,31,1761},{9,31,6490},{8,31,2622},{7,31,458},{7,28,835},{6,31,6162},{3,29,598},{12,31,1989},{11,31,931},{11,31,306},{10,31,5},{15,19,3318},{10,31,1806},{8,31,202},{4,29,545},{13,26,3318},{4,29,545},{9,31,2609},{9,31,2609},{9,31,2609},{8,31,1761},{8,31,2086},{7,31,458},{7,31,458},{7,27,58},{4,31,1868},{4,27,157},{11,31,306},
{11,31,306},{11,31,306},{10,31,5},{14,16,1152},{8,31,202},{8,31,202},{6,27,1},{15,20,1152},{6,27,1},{15,26,545},{13,31,313},{12,31,4},{10,31,4},{15,26,545},{14,29,545},{10,31,4},{0,29,545},{14,29,545},{0,29,545},{8,0,1640},{8,0,1640},{8,0,1640},{8,0,1640},{7,31,58},{7,31,58},{7,31,58},{7,26,13},{2,31,13},{2,31,13},{10,31,5723},{10,31,3980},{9,31,2945},
{9,31,1745},{10,31,6083},{8,31,2494},{8,31,558},{7,29,558},{7,31,5674},{4,30,411},{12,31,1573},{11,31,963},{11,31,338},{11,31,49},{13,27,2753},{10,31,1438},{9,31,290},{5,29,341},{13,27,2753},{5,29,341},{9,31,2945},{9,31,2945},{9,31,2945},{9,31,1745},{9,31,2390},{8,31,558},{8,31,558},{7,28,147},{5,31,2064},{4,29,161},{11,31,338},{11,31,338},{11,31,338},{11,31,49},{13,22,1152},
{9,31,290},{9,31,290},{6,28,2},{12,25,1152},{6,28,2},{15,27,313},{13,31,185},{13,31,16},{11,31,0},{15,27,313},{13,31,313},{11,31,0},{0,29,337},{13,31,313},{0,29,337},{9,0,1576},{9,0,1576},{9,0,1576},{9,0,1576},{8,31,197},{8,31,197},{8,31,197},{7,27,122},{3,31,25},{3,31,25},{11,31,5415},{10,31,3996},{10,31,3035},{10,31,2006},{10,31,5619},{9,31,2378},{8,31,814},
{8,29,414},{7,31,5338},{5,30,251},{12,31,1413},{12,31,813},{12,31,452},{11,31,65},{13,29,2273},{11,31,1218},{10,31,365},{6,30,146},{14,27,2273},{6,30,146},{10,31,3035},{10,31,3035},{10,31,3035},{10,31,2006},{9,31,2518},{8,31,814},{8,31,814},{8,28,121},{6,31,2329},{5,29,137},{12,31,452},{12,31,452},{12,31,452},{11,31,65},{15,18,1152},{10,31,365},{10,31,365},{7,29,5},{10,29,1152},
{7,29,5},{15,28,145},{14,31,85},{13,31,16},{12,31,4},{15,28,145},{15,29,149},{12,31,4},{0,30,145},{15,29,149},{0,30,145},{9,0,1640},{9,0,1640},{9,0,1640},{9,0,1640},{8,31,85},{8,31,85},{8,31,85},{8,27,37},{4,31,40},{4,31,40},{11,31,5143},{11,31,4004},{11,31,3379},{10,31,2070},{11,31,5287},{10,31,2431},{9,31,1062},{8,30,133},{8,31,5011},{5,31,161},{13,31,1161},
{13,31,889},{12,31,548},{12,31,164},{15,24,1878},{11,31,1106},{11,31,481},{7,30,66},{15,27,1881},{7,30,66},{11,31,3379},{11,31,3379},{11,31,3379},{10,31,2070},{10,31,2835},{9,31,1062},{9,31,1062},{8,29,62},{7,31,2577},{5,31,161},{12,31,548},{12,31,548},{12,31,548},{12,31,164},{13,27,1152},{11,31,481},{11,31,481},{7,30,2},{13,27,1152},{7,30,2},{15,29,45},{14,31,37},{14,31,1},
{14,31,9},{15,29,45},{15,30,41},{14,31,9},{0,30,65},{15,30,41},{0,30,65},{10,0,1586},{10,0,1586},{10,0,1586},{10,0,1586},{9,31,221},{9,31,221},{9,31,221},{8,28,8},{5,31,80},{5,31,80},{12,31,4948},{11,31,4157},{11,31,3532},{11,31,2393},{11,31,5008},{10,31,2422},{10,31,1461},{9,31,125},{9,31,4752},{6,31,157},{13,31,1107},{13,31,835},{13,31,666},{12,31,362},{15,26,1536},
{12,31,1011},{12,31,650},{8,31,16},{14,29,1536},{8,31,16},{11,31,3532},{11,31,3532},{11,31,3532},{11,31,2393},{10,31,3204},{10,31,1461},{10,31,1461},{9,30,114},{8,31,2976},{6,31,157},{13,31,666},{13,31,666},{13,31,666},{12,31,362},{13,30,1152},{12,31,650},{12,31,650},{8,31,16},{12,30,1152},{8,31,16},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},
{0,31,0},{15,31,0},{0,31,0},{10,0,1640},{10,0,1640},{10,0,1640},{10,0,1640},{9,31,221},{9,31,221},{9,31,221},{9,29,25},{6,31,157},{6,31,157},{12,31,4212},{12,31,3612},{12,31,3251},{11,31,2201},{12,31,4212},{11,31,2154},{10,31,1301},{9,31,13},{10,31,3939},{7,31,233},{14,31,776},{13,31,659},{13,31,490},{13,31,218},{15,27,1067},{13,31,699},{12,31,442},{9,31,4},{13,31,1067},
{9,31,4},{12,31,3251},{12,31,3251},{12,31,3251},{11,31,2201},{11,31,2668},{10,31,1301},{10,31,1301},{9,31,13},{8,31,2528},{7,31,233},{13,31,490},{13,31,490},{13,31,490},{13,31,218},{15,25,802},{12,31,442},{12,31,442},{9,31,4},{15,27,802},{9,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{11,0,1576},
{11,0,1576},{11,0,1576},{11,0,1576},{10,31,340},{10,31,340},{10,31,340},{9,31,13},{7,31,233},{7,31,233},{12,31,3732},{12,31,3132},{12,31,2771},{12,31,2171},{12,31,3444},{11,31,1834},{11,31,1209},{10,31,37},{10,31,3219},{8,31,400},{14,31,456},{14,31,392},{14,31,356},{13,31,170},{14,31,684},{13,31,459},{13,31,290},{10,31,1},{14,30,683},{10,31,1},{12,31,2771},{12,31,2771},{12,31,2771},
{12,31,2171},{11,31,2348},{11,31,1209},{11,31,1209},{10,31,37},{9,31,2156},{8,31,400},{14,31,356},{14,31,356},{14,31,356},{13,31,170},{15,26,512},{13,31,290},{13,31,290},{10,31,1},{14,29,512},{10,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{11,0,1640},{11,0,1640},{11,0,1640},{11,0,1640},{10,31,436},
{10,31,436},{10,31,436},{10,31,37},{8,31,400},{8,31,400},{13,31,3172},{13,31,2900},{12,31,2547},{12,31,1947},{12,31,2932},{12,31,1732},{11,31,1145},{10,31,53},{11,31,2695},{8,31,464},{14,31,264},{14,31,200},{14,31,164},{14,31,100},{15,28,387},{14,31,268},{13,31,178},{11,31,1},{15,29,396},{11,31,1},{12,31,2547},{12,31,2547},{12,31,2547},{12,31,1947},{12,31,1971},{11,31,1145},{11,31,1145},
{10,31,53},{10,31,1794},{8,31,464},{14,31,164},{14,31,164},{14,31,164},{14,31,100},{15,27,290},{13,31,178},{13,31,178},{11,31,1},{14,30,290},{11,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{11,31,520},{11,31,520},{11,31,520},{10,31,53},{8,31,464},
{8,31,464},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{0,15,5885},{0,11,4118},{0,10,1800},{0,7,4202},{0,8,6546},{0,7,4643},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{3,5,5885},{0,11,4118},{0,10,1800},{0,7,4202},{0,9,5885},{0,7,4202},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,549},{0,5,289},{0,5,289},{0,3,306},{0,3,630},{0,3,387},{0,11,0},
{0,11,0},{0,11,0},{0,7,4},{1,2,545},{0,5,289},{0,5,289},{0,3,306},{2,1,545},{0,3,306},{6,3,2665},{0,18,680},{0,13,50},{0,11,785},{6,3,2665},{11,0,2665},{0,11,785},{0,8,2689},{11,0,2665},{0,8,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,2665},{0,20,521},{0,14,5},
{0,12,625},{0,17,6669},{0,13,4529},{0,11,1890},{0,8,4610},{0,9,7494},{0,7,5171},{0,25,2665},{0,20,521},{0,14,5},{0,12,625},{3,7,6669},{0,13,4529},{0,11,1890},{0,8,4610},{8,0,6669},{0,8,4610},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,7,841},{0,6,445},{0,6,445},{0,4,464},{0,3,982},{0,3,595},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{2,0,841},
{0,6,445},{0,6,445},{0,4,464},{1,3,841},{0,4,464},{7,2,2665},{0,20,521},{0,14,5},{0,12,625},{7,2,2665},{12,0,2665},{0,12,625},{0,9,2689},{12,0,2665},{0,9,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{0,19,7541},{0,14,4934},{0,12,2042},
{0,9,5045},{0,10,8546},{0,8,5682},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{5,2,7538},{0,14,4934},{0,12,2042},{0,9,5045},{8,1,7538},{0,9,5045},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,8,1201},{0,7,637},{0,7,637},{0,4,656},{0,4,1385},{0,4,800},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{1,5,1201},{0,7,637},{0,7,637},{0,4,656},{4,0,1201},
{0,4,656},{6,8,2665},{0,22,405},{0,15,10},{0,13,514},{6,8,2665},{11,3,2665},{0,13,514},{0,10,2689},{11,3,2665},{0,10,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,30,2669},{0,23,313},{0,16,68},{0,15,410},{0,20,8498},{0,16,5330},{0,13,2210},{0,10,5530},{0,11,9702},{0,9,6270},{0,30,2669},
{0,23,313},{0,16,68},{0,15,410},{4,7,8493},{0,16,5330},{0,13,2210},{0,10,5530},{8,2,8493},{0,10,5530},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,9,1629},{0,8,832},{0,8,832},{0,5,881},{0,5,1874},{0,5,1106},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{2,3,1625},{0,8,832},{0,8,832},{0,5,881},{4,1,1625},{0,5,881},{8,2,2665},{0,23,313},{1,16,8},
{0,15,410},{8,2,2665},{14,1,2665},{0,15,410},{0,11,2689},{14,1,2665},{0,11,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,2777},{0,26,232},{0,17,197},{0,16,305},{0,22,9674},{0,17,5849},{0,14,2450},{0,10,6106},{0,12,11199},{0,10,7006},{0,31,2777},{0,26,232},{0,17,197},{0,16,305},{1,19,9669},
{0,17,5849},{0,14,2450},{0,10,6106},{9,2,9669},{0,10,6106},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,11,2178},{0,10,1125},{0,10,1125},{0,6,1189},{0,6,2520},{0,5,1475},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{3,1,2178},{0,10,1125},{0,10,1125},{0,6,1189},{3,3,2178},{0,6,1189},{9,2,2665},{0,26,232},{1,17,17},{0,16,305},{9,2,2665},{13,4,2665},{0,16,305},
{0,12,2689},{13,4,2665},{0,12,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,31,3045},{0,28,217},{0,19,401},{0,17,282},{0,25,9670},{0,19,5529},{0,16,1970},{0,12,5738},{0,13,11589},{0,11,6898},{1,31,2789},{0,28,217},{1,18,146},{0,17,282},{5,8,9669},{0,19,5529},{0,16,1970},{0,12,5738},{4,10,9669},
{0,12,5738},{0,24,64},{0,24,64},{0,24,64},{0,15,68},{0,13,2180},{0,11,949},{0,11,949},{0,7,1018},{0,7,2691},{0,6,1433},{1,21,64},{1,21,64},{1,21,64},{1,13,68},{4,0,2178},{0,11,949},{0,11,949},{0,7,1018},{1,7,2178},{0,7,1018},{10,1,2665},{0,28,153},{2,18,5},{0,17,218},{10,1,2665},{15,3,2665},{0,17,218},{0,13,2689},{15,3,2665},{0,13,2689},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,3,1},{0,3,1},{0,3,1},{0,2,4},{0,1,18},{0,1,18},{1,31,3285},{0,29,341},{1,19,453},{0,18,405},{0,27,9674},{0,20,5170},{0,17,1546},{0,13,5429},{0,15,11993},{0,12,6819},{2,31,2966},{1,28,221},{1,19,197},{1,18,305},{7,4,9669},{0,20,5170},{0,17,1546},{0,13,5429},{9,5,9669},{0,13,5429},{0,27,257},{0,27,257},{0,27,257},
{1,15,256},{0,16,2178},{0,13,832},{0,13,832},{0,8,881},{0,8,2882},{0,7,1427},{1,23,4},{1,23,4},{1,23,4},{1,15,0},{3,6,2178},{0,13,832},{0,13,832},{0,8,881},{3,6,2178},{0,8,881},{11,0,2665},{0,29,85},{2,19,10},{0,18,149},{11,0,2665},{13,7,2665},{0,18,149},{0,14,2689},{13,7,2665},{0,14,2689},{0,0,256},{0,0,256},{0,0,256},{0,0,256},{0,5,1},
{0,5,1},{0,5,1},{0,3,1},{0,2,72},{0,2,72},{1,31,3909},{1,29,465},{1,21,676},{1,19,538},{0,30,9669},{0,22,4878},{0,18,1190},{0,14,5138},{0,16,12390},{0,13,6789},{2,31,2966},{1,29,209},{2,20,149},{1,19,282},{6,10,9669},{0,22,4878},{0,18,1190},{0,14,5138},{12,3,9669},{0,14,5138},{1,26,320},{1,26,320},{1,26,320},{1,16,324},{0,19,2180},{0,15,680},{0,15,680},
{0,9,740},{0,9,3149},{0,8,1441},{1,26,64},{1,26,64},{1,26,64},{1,16,68},{5,2,2178},{0,15,680},{0,15,680},{0,9,740},{8,1,2178},{0,9,740},{11,3,2665},{0,31,41},{3,20,8},{0,19,98},{11,3,2665},{15,6,2665},{0,19,98},{0,15,2689},{15,6,2665},{0,15,2689},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,160},
{0,4,160},{2,31,4514},{1,31,630},{1,22,1110},{1,20,694},{0,31,9789},{0,23,4646},{0,20,849},{0,15,4826},{0,18,12955},{0,14,6798},{3,31,3101},{2,30,232},{2,21,197},{2,20,305},{3,23,9669},{0,23,4646},{0,20,849},{0,15,4826},{11,6,9669},{0,15,4826},{1,29,545},{1,29,545},{1,29,545},{1,18,546},{0,22,2180},{0,17,505},{0,17,505},{0,11,610},{0,11,3467},{0,10,1513},{2,26,1},
{2,26,1},{2,26,1},{2,17,0},{5,5,2178},{0,17,505},{0,17,505},{0,11,610},{5,7,2178},{0,11,610},{11,6,2665},{1,31,85},{3,21,17},{0,20,65},{11,6,2665},{15,8,2665},{0,20,65},{0,16,2689},{15,8,2665},{0,16,2689},{1,0,545},{1,0,545},{1,0,545},{1,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},{0,5,289},{2,31,5330},{1,31,1110},{2,23,1490},
{1,21,979},{1,31,9981},{0,26,4406},{0,21,579},{0,16,4610},{0,19,13489},{0,15,6846},{3,31,3341},{2,31,226},{3,22,146},{2,21,282},{9,4,9669},{0,26,4406},{0,21,579},{0,16,4610},{9,10,9669},{0,16,4610},{1,31,885},{1,31,885},{1,31,885},{1,20,885},{0,24,2178},{0,19,389},{0,19,389},{0,12,464},{0,12,3885},{0,11,1603},{3,25,64},{3,25,64},{3,25,64},{3,17,68},{7,1,2178},
{0,19,389},{0,19,389},{0,12,464},{10,2,2178},{0,12,464},{13,2,2665},{2,31,162},{4,22,5},{0,22,37},{13,2,2665},{12,13,2665},{0,22,37},{0,17,2689},{12,13,2665},{0,17,2689},{1,0,881},{1,0,881},{1,0,881},{1,0,881},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,6,445},{0,6,445},{3,31,6366},{2,31,1635},{2,24,1886},{1,22,1410},{1,31,10381},{0,28,4146},{0,22,377},
{0,17,4373},{0,20,14006},{0,16,6915},{4,31,3434},{3,31,242},{3,23,197},{3,22,305},{10,3,9669},{0,28,4146},{0,22,377},{0,17,4373},{11,9,9669},{0,17,4373},{2,31,1346},{2,31,1346},{2,31,1346},{2,20,1345},{0,27,2180},{0,21,274},{0,21,274},{0,13,353},{0,14,4269},{0,11,1763},{3,27,4},{3,27,4},{3,27,4},{3,19,0},{5,10,2178},{0,21,274},{0,21,274},{0,13,353},{12,1,2178},
{0,13,353},{14,1,2665},{3,31,242},{4,23,10},{0,23,10},{14,1,2665},{15,11,2665},{0,23,10},{0,18,2689},{15,11,2665},{0,18,2689},{1,0,1345},{1,0,1345},{1,0,1345},{1,0,1345},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,7,637},{0,7,637},{3,31,7374},{2,31,2339},{2,25,2441},{2,23,1763},{2,31,11019},{0,29,3909},{0,23,243},{0,18,4154},{0,22,14614},{0,17,7029},{5,31,3654},
{4,31,394},{4,24,149},{3,23,282},{9,9,9669},{0,29,3909},{0,23,243},{0,18,4154},{14,7,9669},{0,18,4154},{2,31,1714},{2,31,1714},{2,31,1714},{2,22,1669},{0,29,2180},{0,23,194},{0,23,194},{0,14,260},{0,15,4686},{0,13,1937},{3,30,64},{3,30,64},{3,30,64},{3,20,68},{8,1,2178},{0,23,194},{0,23,194},{0,14,260},{10,5,2178},{0,14,260},{15,0,2665},{4,31,313},{5,24,8},
{0,24,4},{15,0,2665},{13,15,2665},{0,24,4},{0,19,2689},{13,15,2665},{0,19,2689},{2,0,1665},{2,0,1665},{2,0,1665},{2,0,1665},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,8,832},{0,8,832},{3,31,8967},{3,31,3510},{3,26,3255},{2,24,2243},{2,31,11766},{0,31,3686},{0,25,138},{0,19,3938},{0,23,15369},{0,18,7206},{5,31,3933},{4,31,457},{4,25,197},{4,24,305},{12,2,9669},
{0,31,3686},{0,25,138},{0,19,3938},{13,10,9669},{0,19,3938},{2,31,2434},{2,31,2434},{2,31,2434},{2,23,2182},{0,31,2210},{0,25,137},{0,25,137},{0,15,181},{0,16,5157},{0,14,2163},{4,30,1},{4,30,1},{4,30,1},{4,21,0},{8,4,2178},{0,25,137},{0,25,137},{0,15,181},{14,2,2178},{0,15,181},{15,3,2665},{5,31,421},{5,25,17},{1,25,5},{15,3,2665},{12,18,2665},{1,25,5},
{0,20,2689},{12,18,2665},{0,20,2689},{2,0,2178},{2,0,2178},{2,0,2178},{2,0,2178},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,10,1125},{0,10,1125},{4,31,10234},{3,31,4421},{3,27,3739},{2,26,2742},{2,31,12773},{0,31,3719},{0,26,87},{0,20,3771},{0,25,16061},{0,19,7283},{6,31,4050},{5,31,629},{5,26,146},{4,25,282},{11,8,9669},{0,31,3718},{0,26,86},{0,20,3770},{11,14,9669},
{0,20,3770},{3,31,3125},{3,31,3125},{3,31,3125},{2,25,2706},{1,31,2411},{0,26,86},{0,26,86},{0,16,129},{0,18,5544},{0,15,2318},{5,29,64},{5,29,64},{5,29,64},{5,21,68},{3,25,2178},{0,26,85},{0,26,85},{0,16,128},{12,6,2178},{0,16,128},{15,6,2665},{5,31,565},{6,26,5},{1,26,2},{15,6,2665},{14,17,2665},{1,26,2},{0,21,2689},{14,17,2665},{0,21,2689},{2,0,2705},
{2,0,2705},{2,0,2705},{2,0,2705},{0,24,1},{0,24,1},{0,24,1},{0,15,5},{0,11,1348},{0,11,1348},{4,31,10874},{4,31,5018},{3,28,3750},{3,26,2754},{3,31,13045},{1,31,4003},{0,27,183},{0,21,3686},{0,27,15601},{0,20,6570},{7,31,4366},{5,31,965},{5,27,197},{5,26,305},{12,7,9669},{1,31,3954},{0,27,102},{0,21,3605},{13,13,9669},{0,21,3605},{3,31,3173},{3,31,3173},{3,31,3173},
{3,25,2690},{1,31,2427},{0,28,113},{0,28,113},{0,17,170},{0,20,5170},{0,16,1856},{5,31,4},{5,31,4},{5,31,4},{5,23,0},{9,6,2178},{0,28,32},{0,28,32},{0,17,89},{14,5,2178},{0,17,89},{15,8,2665},{6,31,706},{6,27,10},{2,27,10},{15,8,2665},{12,21,2665},{2,27,10},{0,22,2689},{12,21,2665},{0,22,2689},{3,0,2689},{3,0,2689},{3,0,2689},{3,0,2689},{1,23,53},
{1,23,53},{1,23,53},{1,15,49},{0,13,1217},{0,13,1217},{5,31,11278},{4,31,5402},{4,29,3753},{3,28,2745},{4,31,13566},{1,31,4403},{1,28,77},{0,22,3747},{0,28,15046},{0,21,5958},{7,31,4590},{6,31,1171},{6,28,149},{5,27,282},{14,3,9669},{2,31,4265},{1,28,76},{0,22,3458},{11,17,9669},{0,22,3458},{4,31,3377},{4,31,3377},{4,31,3377},{3,27,2706},{2,31,2532},{1,28,73},{1,28,73},
{1,18,129},{0,21,4837},{0,17,1490},{6,31,82},{6,31,82},{6,31,82},{5,24,68},{10,5,2178},{0,30,8},{0,30,8},{0,19,49},{12,9,2178},{0,19,49},{15,11,2665},{7,31,850},{7,28,8},{2,28,4},{15,11,2665},{15,19,2665},{2,28,4},{0,23,2689},{15,19,2665},{0,23,2689},{3,0,2705},{3,0,2705},{3,0,2705},{3,0,2705},{1,26,1},{1,26,1},{1,26,1},{1,16,5},{0,14,1037},
{0,14,1037},{6,31,11954},{5,31,6090},{4,30,3794},{4,28,2754},{5,31,14170},{2,31,4863},{2,29,187},{1,24,3689},{0,30,14558},{0,23,5274},{8,31,5030},{7,31,1556},{6,29,197},{6,28,305},{14,6,9669},{3,31,4594},{1,29,101},{0,24,3265},{15,14,9669},{0,24,3265},{4,31,3530},{4,31,3530},{4,31,3530},{4,27,2693},{2,31,2739},{1,30,134},{1,30,134},{1,19,197},{0,23,4506},{0,19,1109},{6,31,64},
{6,31,64},{6,31,64},{6,25,0},{10,8,2178},{1,30,34},{1,30,34},{0,20,16},{11,12,2178},{0,20,16},{15,14,2665},{8,31,1053},{7,29,17},{3,29,5},{15,14,2665},{14,22,2665},{3,29,5},{0,24,2689},{14,22,2665},{0,24,2689},{4,0,2689},{4,0,2689},{4,0,2689},{4,0,2689},{2,26,50},{2,26,50},{2,26,50},{2,17,49},{0,16,818},{0,16,818},{6,31,12466},{5,31,6794},{5,31,3739},
{4,30,2742},{5,31,14554},{3,31,5363},{2,30,87},{1,24,3737},{0,31,14190},{0,24,4785},{8,31,5158},{7,31,2036},{7,30,146},{6,29,282},{13,12,9669},{4,31,4806},{2,30,86},{0,25,3130},{13,18,9669},{0,25,3130},{5,31,3658},{5,31,3658},{5,31,3658},{4,29,2706},{3,31,2795},{2,30,86},{2,30,86},{2,20,129},{0,25,4315},{0,20,809},{7,31,100},{7,31,100},{7,31,100},{7,25,68},{9,14,2178},
{1,31,68},{1,31,68},{0,21,1},{14,10,2178},{0,21,1},{13,23,2665},{9,31,1241},{8,30,50},{3,30,2},{13,23,2665},{11,27,2665},{3,30,2},{0,25,2689},{11,27,2665},{0,25,2689},{4,0,2705},{4,0,2705},{4,0,2705},{4,0,2705},{2,28,1},{2,28,1},{2,28,1},{2,19,5},{0,18,666},{0,18,666},{7,31,13094},{6,31,7445},{5,31,3915},{5,30,2754},{6,31,14998},{4,31,5926},{2,31,183},
{2,25,3686},{0,31,14254},{0,25,4323},{9,31,5546},{8,31,2478},{7,31,197},{7,30,305},{14,11,9669},{5,31,5138},{2,31,102},{0,26,3013},{15,17,9669},{0,26,3013},{5,31,3914},{5,31,3914},{5,31,3914},{5,29,2690},{4,31,3042},{2,31,182},{2,31,182},{2,21,170},{0,27,4059},{0,21,597},{7,31,196},{7,31,196},{7,31,196},{7,27,0},{11,10,2178},{2,31,101},{2,31,101},{0,22,4},{5,23,2178},
{0,22,4},{15,19,2665},{10,31,1384},{8,31,5},{4,31,10},{15,19,2665},{14,25,2665},{4,31,10},{0,26,2689},{14,25,2665},{0,26,2689},{5,0,2689},{5,0,2689},{5,0,2689},{5,0,2689},{3,27,53},{3,27,53},{3,27,53},{3,19,49},{0,20,505},{0,20,505},{7,31,12517},{6,31,7482},{6,31,4001},{5,31,2706},{6,31,14185},{4,31,5491},{3,31,154},{2,26,3124},{0,31,13437},{0,26,3306},{9,31,4949},
{8,31,2261},{8,31,325},{7,30,192},{14,13,8712},{6,31,4686},{3,31,153},{0,27,2403},{11,23,8712},{0,27,2403},{6,31,4001},{6,31,4001},{6,31,4001},{5,31,2706},{4,31,3234},{3,31,154},{3,31,154},{3,22,129},{0,28,3762},{0,23,425},{8,31,325},{8,31,325},{8,31,325},{7,28,68},{12,9,2178},{3,31,153},{3,31,153},{1,23,1},{14,13,2178},{1,23,1},{13,27,2178},{10,31,1157},{9,31,16},
{5,31,1},{13,27,2178},{13,27,2178},{5,31,1},{0,27,2178},{13,27,2178},{0,27,2178},{5,0,2705},{5,0,2705},{5,0,2705},{5,0,2705},{3,30,1},{3,30,1},{3,30,1},{3,20,5},{0,22,389},{0,22,389},{8,31,12034},{7,31,7195},{6,31,4370},{6,31,2693},{7,31,13066},{5,31,5014},{4,31,261},{3,27,2390},{1,31,12394},{0,27,2277},{10,31,4410},{9,31,2045},{8,31,289},{8,30,192},{14,15,7578},
{7,31,4050},{4,31,212},{0,27,1701},{12,23,7578},{0,27,1701},{6,31,4370},{6,31,4370},{6,31,4370},{6,31,2693},{5,31,3429},{4,31,261},{4,31,261},{3,23,197},{0,30,3509},{0,24,306},{8,31,289},{8,31,289},{8,31,289},{8,28,68},{15,2,2178},{4,31,212},{4,31,212},{1,24,9},{13,16,2178},{1,24,9},{15,22,1625},{11,31,850},{9,31,25},{6,31,4},{15,22,1625},{13,28,1625},{6,31,4},
{0,27,1665},{13,28,1625},{0,27,1665},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{4,30,50},{4,30,50},{4,30,50},{4,21,49},{0,24,306},{0,24,306},{8,31,11042},{7,31,7259},{7,31,4450},{6,31,2805},{7,31,12298},{5,31,4742},{4,31,501},{4,27,1875},{2,31,11643},{0,28,1578},{10,31,3802},{9,31,1869},{9,31,425},{8,31,25},{13,20,6661},{7,31,3554},{5,31,292},{0,28,1217},{13,23,6662},
{0,28,1217},{7,31,4450},{7,31,4450},{7,31,4450},{6,31,2805},{6,31,3714},{4,31,501},{4,31,501},{4,24,129},{0,31,3354},{0,25,244},{9,31,425},{9,31,425},{9,31,425},{8,30,0},{11,18,2178},{5,31,292},{5,31,292},{2,25,1},{10,21,2178},{2,25,1},{15,23,1201},{11,31,674},{10,31,9},{7,31,16},{15,23,1201},{12,30,1201},{7,31,16},{0,28,1201},{12,30,1201},{0,28,1201},{6,0,2705},
{6,0,2705},{6,0,2705},{6,0,2705},{4,31,17},{4,31,17},{4,31,17},{4,23,5},{0,26,218},{0,26,218},{8,31,10434},{8,31,7186},{7,31,4898},{7,31,2833},{8,31,11595},{6,31,4462},{5,31,629},{4,28,1387},{3,31,10895},{0,28,1002},{11,31,3446},{10,31,1707},{9,31,505},{8,31,73},{13,22,5829},{8,31,3170},{6,31,405},{1,28,869},{12,25,5829},{1,28,869},{7,31,4898},{7,31,4898},{7,31,4898},
{7,31,2833},{6,31,3906},{5,31,629},{5,31,629},{4,25,170},{0,31,3546},{0,27,228},{9,31,505},{9,31,505},{9,31,505},{9,30,68},{13,14,2178},{6,31,405},{6,31,405},{2,26,4},{8,25,2178},{2,26,4},{13,31,841},{12,31,461},{11,31,1},{8,31,9},{13,31,841},{15,27,841},{8,31,9},{0,28,865},{15,27,841},{0,28,865},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{5,31,53},
{5,31,53},{5,31,53},{5,23,49},{0,28,137},{0,28,137},{9,31,10014},{8,31,6962},{8,31,5026},{7,31,3105},{8,31,10683},{7,31,4354},{6,31,933},{5,28,1019},{4,31,10078},{0,29,630},{11,31,2934},{10,31,1611},{10,31,650},{9,31,25},{15,17,5082},{8,31,2786},{7,31,521},{1,29,546},{12,26,5082},{1,29,546},{8,31,5026},{8,31,5026},{8,31,5026},{7,31,3105},{7,31,4170},{6,31,933},{6,31,933},
{5,26,129},{1,31,3814},{0,28,234},{10,31,650},{10,31,650},{10,31,650},{9,31,25},{14,13,2178},{7,31,521},{7,31,521},{3,27,1},{11,23,2178},{3,27,1},{15,26,545},{13,31,313},{12,31,4},{10,31,4},{15,26,545},{14,29,545},{10,31,4},{0,29,545},{14,29,545},{0,29,545},{7,0,2705},{7,0,2705},{7,0,2705},{7,0,2705},{5,31,101},{5,31,101},{5,31,101},{5,24,5},{0,29,85},
{0,29,85},{9,31,9465},{9,31,7065},{8,31,5233},{8,31,3329},{8,31,10116},{7,31,4183},{6,31,1338},{5,29,645},{5,31,9447},{0,30,441},{11,31,2664},{11,31,1525},{10,31,848},{10,31,113},{15,19,4344},{9,31,2424},{8,31,724},{2,30,321},{13,26,4344},{2,30,321},{8,31,5233},{8,31,5233},{8,31,5233},{8,31,3329},{7,31,4629},{6,31,1338},{6,31,1338},{5,27,197},{2,31,4212},{1,29,213},{10,31,848},
{10,31,848},{10,31,848},{10,31,113},{14,16,2178},{8,31,724},{8,31,724},{3,28,9},{15,20,2178},{3,28,9},{15,27,290},{13,31,178},{13,31,9},{11,31,1},{15,27,290},{14,30,290},{11,31,1},{0,29,320},{14,30,290},{0,29,320},{8,0,2929},{8,0,2929},{8,0,2929},{8,0,2929},{6,31,113},{6,31,113},{6,31,113},{6,25,49},{0,31,45},{0,31,45},{10,31,9329},{9,31,6985},{9,31,5541},
{8,31,3473},{9,31,9496},{8,31,4420},{7,31,1630},{6,29,426},{5,31,9031},{1,30,301},{12,31,2275},{11,31,1557},{11,31,932},{10,31,225},{13,27,3779},{10,31,2086},{8,31,884},{3,30,129},{13,27,3779},{3,30,129},{9,31,5541},{9,31,5541},{9,31,5541},{8,31,3473},{8,31,4836},{7,31,1630},{7,31,1630},{6,28,129},{4,31,4442},{1,30,237},{11,31,932},{11,31,932},{11,31,932},{10,31,225},{13,22,2178},
{8,31,884},{8,31,884},{4,29,1},{12,25,2178},{4,29,1},{15,28,130},{14,31,72},{13,31,25},{12,31,9},{15,28,130},{15,29,136},{12,31,9},{0,30,128},{15,29,136},{0,30,128},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{6,31,257},{6,31,257},{6,31,257},{6,27,5},{1,31,89},{1,31,89},{10,31,8929},{10,31,7186},{9,31,5845},{9,31,3829},{9,31,9208},{8,31,4260},{7,31,2270},
{6,30,245},{6,31,8708},{2,31,228},{12,31,2115},{12,31,1515},{12,31,1154},{11,31,353},{13,29,3299},{11,31,1938},{10,31,1013},{4,30,68},{14,27,3299},{4,30,68},{9,31,5845},{9,31,5845},{9,31,5845},{9,31,3829},{8,31,5124},{7,31,2270},{7,31,2270},{6,29,170},{4,31,4762},{2,31,228},{12,31,1154},{12,31,1154},{12,31,1154},{11,31,353},{15,18,2178},{10,31,1013},{10,31,1013},{4,30,4},{10,29,2178},
{4,30,4},{15,30,34},{14,31,40},{14,31,4},{14,31,4},{15,30,34},{15,30,34},{14,31,4},{0,30,64},{15,30,34},{0,30,64},{8,0,2705},{8,0,2705},{8,0,2705},{8,0,2705},{7,31,245},{7,31,245},{7,31,245},{7,27,49},{2,31,164},{2,31,164},{11,31,8857},{10,31,7170},{10,31,6209},{9,31,4133},{10,31,8853},{8,31,4484},{8,31,2548},{7,31,170},{7,31,8388},{3,31,244},{13,31,1971},
{12,31,1611},{12,31,1250},{11,31,625},{15,24,2904},{11,31,1826},{10,31,1157},{5,31,1},{15,27,2907},{5,31,1},{10,31,6209},{10,31,6209},{10,31,6209},{9,31,4133},{9,31,5460},{8,31,2548},{8,31,2548},{7,30,129},{5,31,5126},{3,31,244},{12,31,1250},{12,31,1250},{12,31,1250},{11,31,625},{13,27,2178},{10,31,1157},{10,31,1157},{5,31,1},{13,27,2178},{5,31,1},{15,31,0},{15,31,0},{15,31,0},
{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{7,31,485},{7,31,485},{7,31,485},{7,28,5},{3,31,244},{3,31,244},{11,31,7705},{11,31,6566},{10,31,5633},{10,31,3890},{10,31,7737},{9,31,3874},{8,31,2386},{7,31,116},{7,31,7398},{4,31,317},{13,31,1458},{13,31,1186},{13,31,1017},{12,31,425},{15,25,2166},
{12,31,1398},{11,31,850},{6,31,4},{12,31,2166},{6,31,4},{10,31,5633},{10,31,5633},{10,31,5633},{10,31,3890},{9,31,4830},{8,31,2386},{8,31,2386},{7,31,116},{6,31,4509},{4,31,317},{13,31,1017},{13,31,1017},{13,31,1017},{12,31,425},{15,22,1625},{11,31,850},{11,31,850},{6,31,4},{13,28,1625},{6,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},
{0,31,0},{15,31,0},{0,31,0},{9,0,2725},{9,0,2725},{9,0,2725},{9,0,2725},{8,31,450},{8,31,450},{8,31,450},{7,30,101},{4,31,317},{4,31,317},{11,31,6953},{11,31,5814},{11,31,5189},{10,31,3650},{11,31,6713},{10,31,3531},{9,31,2142},{8,31,74},{8,31,6397},{5,31,425},{13,31,1138},{13,31,866},{13,31,697},{12,31,361},{15,26,1601},{12,31,1046},{11,31,674},{7,31,16},{14,29,1601},
{7,31,16},{11,31,5189},{11,31,5189},{11,31,5189},{10,31,3650},{10,31,4313},{9,31,2142},{9,31,2142},{8,31,74},{7,31,3981},{5,31,425},{13,31,697},{13,31,697},{13,31,697},{12,31,361},{15,23,1201},{11,31,674},{11,31,674},{7,31,16},{12,30,1201},{7,31,16},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{10,0,2689},
{10,0,2689},{10,0,2689},{10,0,2689},{8,31,578},{8,31,578},{8,31,578},{8,30,49},{5,31,425},{5,31,425},{12,31,6211},{11,31,5318},{11,31,4693},{11,31,3554},{11,31,5833},{10,31,3067},{10,31,2106},{8,31,10},{9,31,5601},{6,31,580},{14,31,825},{13,31,674},{13,31,505},{13,31,233},{15,27,1122},{13,31,738},{12,31,461},{8,31,9},{13,31,1122},{8,31,9},{11,31,4693},{11,31,4693},{11,31,4693},
{11,31,3554},{10,31,3849},{10,31,2106},{10,31,2106},{8,31,10},{7,31,3629},{6,31,580},{13,31,505},{13,31,505},{13,31,505},{13,31,233},{13,31,841},{12,31,461},{12,31,461},{8,31,9},{15,27,841},{8,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{10,0,2705},{10,0,2705},{10,0,2705},{10,0,2705},{9,31,666},
{9,31,666},{9,31,666},{8,31,10},{6,31,580},{6,31,580},{12,31,5427},{12,31,4827},{11,31,4453},{11,31,3314},{12,31,5175},{10,31,2859},{10,31,1898},{9,31,74},{10,31,4842},{7,31,724},{14,31,489},{14,31,425},{14,31,389},{13,31,169},{14,31,729},{13,31,482},{13,31,313},{10,31,4},{14,30,726},{10,31,4},{11,31,4453},{11,31,4453},{11,31,4453},{11,31,3314},{11,31,3445},{10,31,1898},{10,31,1898},
{9,31,74},{8,31,3213},{7,31,724},{14,31,389},{14,31,389},{14,31,389},{13,31,169},{15,26,545},{13,31,313},{13,31,313},{10,31,4},{14,29,545},{10,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{9,31,890},{9,31,890},{9,31,890},{9,31,74},{7,31,724},
{7,31,724},{2,31,33740},{0,31,5184},{0,22,420},{0,21,4221},{1,31,46089},{0,29,24105},{0,21,8317},{0,18,24790},{0,21,63990},{0,16,38959},{1,31,9704},{0,30,2866},{0,21,389},{0,19,3229},{7,2,18065},{0,20,13257},{0,17,6153},{0,12,13481},{12,0,18065},{0,12,13481},{0,15,1},{0,15,1},{0,15,1},{0,9,1},{0,8,1105},{0,7,585},{0,7,585},{0,4,596},{0,4,1273},{0,4,740},{0,15,1},
{0,15,1},{0,15,1},{0,9,1},{2,1,1105},{0,7,585},{0,7,585},{0,4,596},{4,0,1105},{0,4,596},{9,6,9248},{0,30,2866},{0,21,389},{0,19,3229},{9,6,9248},{14,5,9248},{0,19,3229},{0,14,9248},{14,5,9248},{0,14,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,31,38380},{0,31,6720},{0,23,245},
{0,22,3864},{2,31,50747},{0,31,24961},{0,22,8353},{0,19,25735},{0,22,65535},{0,17,41319},{1,31,10152},{0,31,2624},{0,23,229},{0,20,2980},{5,10,19334},{0,20,13769},{0,18,6243},{0,13,14116},{12,1,19334},{0,13,14116},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{0,9,1513},{0,8,772},{0,8,772},{0,5,821},{0,5,1750},{0,4,1028},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{1,6,1513},
{0,8,772},{0,8,772},{0,5,821},{3,2,1513},{0,5,821},{10,5,9248},{0,31,2624},{0,23,229},{0,20,2980},{10,5,9248},{12,9,9248},{0,20,2980},{0,15,9248},{12,9,9248},{0,15,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,31,43788},{0,31,9024},{0,24,126},{0,23,3525},{2,31,56155},{0,31,26241},{0,23,8425},
{0,20,26793},{0,23,65535},{0,18,43819},{2,31,10787},{0,31,2624},{0,24,122},{0,21,2701},{8,0,20689},{0,22,14385},{0,19,6369},{0,13,14756},{12,2,20689},{0,13,14756},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{0,10,1989},{0,9,1018},{0,9,1018},{0,6,1096},{0,5,2294},{0,5,1334},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{1,7,1985},{0,9,1018},{0,9,1018},{0,6,1096},{1,5,1985},
{0,6,1096},{12,1,9248},{0,31,2624},{0,24,122},{0,21,2701},{12,1,9248},{15,7,9248},{0,21,2701},{0,16,9250},{15,7,9248},{0,16,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,31,49964},{1,31,11512},{0,25,41},{0,24,3109},{2,31,62331},{0,31,28289},{0,24,8585},{0,21,27848},{0,23,65535},{0,19,46459},{2,31,11395},
{0,31,2880},{0,25,37},{0,22,2440},{8,2,22129},{0,23,15030},{0,20,6509},{0,14,15441},{13,2,22129},{0,14,15441},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{0,12,2525},{0,10,1300},{0,10,1300},{0,6,1384},{0,6,2905},{0,6,1708},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{3,2,2521},{0,10,1300},{0,10,1300},{0,6,1384},{5,1,2521},{0,6,1384},{11,7,9248},{0,31,2880},{0,25,37},
{0,22,2440},{11,7,9248},{13,11,9248},{0,22,2440},{0,17,9250},{13,11,9248},{0,17,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,31,57022},{1,31,15166},{0,26,20},{0,25,2804},{2,31,65535},{0,31,31511},{0,25,8733},{0,22,29095},{0,26,65535},{0,20,49444},{2,31,12385},{0,31,3474},{0,26,4},{0,23,2173},{8,4,23851},
{0,23,15948},{0,21,6729},{0,15,16274},{14,2,23851},{0,15,16274},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{0,13,3200},{0,11,1665},{0,11,1665},{0,7,1754},{0,7,3691},{0,6,2185},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{1,10,3200},{0,11,1665},{0,11,1665},{0,7,1754},{5,2,3200},{0,7,1754},{11,10,9248},{1,31,3226},{0,26,4},{0,23,2173},{11,10,9248},{5,23,9248},{0,23,2173},
{0,18,9248},{5,23,9248},{0,18,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,31,63870},{1,31,19230},{0,27,45},{0,27,2520},{3,31,65535},{0,31,35191},{0,26,8925},{0,23,30250},{0,28,65535},{0,21,52374},{3,31,13449},{1,31,4026},{0,27,29},{0,24,1901},{3,24,25472},{0,26,16706},{0,22,6963},{0,16,17124},{14,3,25472},
{0,16,17124},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{0,14,3874},{0,13,2084},{0,13,2084},{0,8,2165},{0,8,4466},{0,7,2627},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{4,1,3872},{0,13,2084},{0,13,2084},{0,8,2165},{3,5,3872},{0,8,2165},{12,9,9248},{2,31,3593},{0,27,29},{0,24,1901},{12,9,9248},{14,13,9248},{0,24,1901},{0,19,9248},{14,13,9248},{0,19,9248},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,31,65535},{1,31,24002},{0,28,109},{0,27,2268},{3,31,65535},{1,31,39095},{0,27,8825},{0,24,30825},{0,28,65535},{0,22,54996},{3,31,14345},{1,31,4766},{0,29,102},{0,26,1697},{3,26,26744},{0,28,17104},{0,23,6957},{0,17,17625},{15,3,26744},{0,17,17625},{0,31,5},{0,31,5},{0,31,5},
{0,19,5},{0,16,4418},{0,14,2306},{0,14,2306},{0,9,2420},{0,8,5122},{0,8,2997},{0,31,5},{0,31,5},{0,31,5},{0,19,5},{3,6,4418},{0,14,2306},{0,14,2306},{0,9,2420},{3,6,4418},{0,9,2420},{14,5,9248},{4,31,3904},{1,28,1},{0,26,1693},{14,5,9248},{12,17,9248},{0,26,1693},{0,20,9250},{12,17,9248},{0,20,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{3,31,65535},{1,31,29442},{0,29,330},{0,28,2105},{3,31,65535},{1,31,42151},{0,28,7781},{0,25,30108},{0,29,65535},{0,22,56388},{4,31,14976},{2,31,5434},{1,29,62},{0,27,1580},{11,0,26744},{0,29,16547},{0,24,6221},{0,18,17124},{13,7,26744},{0,18,17124},{0,31,181},{0,31,181},{0,31,181},{0,20,101},{0,19,4420},{0,16,2005},{0,16,2005},
{0,10,2165},{0,9,5389},{0,9,2925},{1,31,37},{1,31,37},{1,31,37},{1,19,37},{5,2,4418},{0,16,2005},{0,16,2005},{0,10,2165},{8,1,4418},{0,10,2165},{13,11,9248},{4,31,4160},{1,29,26},{0,27,1480},{13,11,9248},{15,15,9248},{0,27,1480},{0,21,9250},{15,15,9248},{0,21,9250},{0,0,100},{0,0,100},{0,0,100},{0,0,100},{0,3,1},{0,3,1},{0,3,1},{0,2,0},{0,1,34},
{0,1,34},{4,31,65535},{2,31,36070},{0,30,822},{0,30,2062},{3,31,65535},{1,31,46660},{0,29,6696},{0,26,29322},{0,31,65535},{0,23,58077},{4,31,15507},{3,31,6253},{1,31,109},{0,28,1646},{11,3,26744},{0,31,15992},{0,26,5346},{0,19,16582},{11,11,26744},{0,19,16582},{1,31,329},{1,31,329},{1,31,329},{1,21,266},{0,22,4420},{0,18,1737},{0,18,1737},{0,11,1898},{0,11,5707},{0,10,2885},{1,31,73},
{1,31,73},{1,31,73},{1,21,10},{5,5,4418},{0,18,1737},{0,18,1737},{0,11,1898},{5,7,4418},{0,11,1898},{13,14,9248},{5,31,4570},{2,30,4},{0,28,1285},{13,14,9248},{8,25,9248},{0,28,1285},{0,22,9248},{8,25,9248},{0,22,9248},{1,0,265},{1,0,265},{1,0,265},{1,0,265},{0,6,1},{0,6,1},{0,6,1},{0,4,1},{0,3,97},{0,3,97},{4,31,65535},{2,31,40786},{0,31,1405},
{0,30,2138},{4,31,65535},{1,31,49800},{0,30,5634},{0,27,27967},{0,31,65535},{0,24,58770},{5,31,15531},{3,31,6593},{2,31,61},{1,29,1533},{12,2,26259},{0,31,15284},{0,27,4514},{0,20,15812},{13,10,26259},{0,20,15812},{1,31,633},{1,31,633},{1,31,633},{1,22,381},{0,24,4418},{0,20,1480},{0,20,1480},{0,12,1640},{0,12,6125},{0,11,2891},{2,31,61},{2,31,61},{2,31,61},{2,21,37},{7,1,4418},
{0,20,1480},{0,20,1480},{0,12,1640},{10,2,4418},{0,12,1640},{13,16,8978},{6,31,4777},{2,31,25},{0,29,1040},{13,16,8978},{15,18,8978},{0,29,1040},{0,23,8980},{15,18,8978},{0,23,8980},{1,0,377},{1,0,377},{1,0,377},{1,0,377},{0,9,0},{0,9,0},{0,9,0},{0,5,4},{0,4,193},{0,4,193},{4,31,65535},{2,31,40898},{1,31,2217},{0,31,2125},{4,31,65535},{1,31,47976},{0,30,4194},
{0,27,24703},{0,31,65535},{0,24,56130},{5,31,14379},{4,31,6051},{2,31,173},{2,29,1284},{9,14,24371},{0,31,13716},{0,28,3402},{0,21,13989},{14,10,24371},{0,21,13989},{1,31,1193},{1,31,1193},{1,31,1193},{1,24,617},{0,27,4420},{0,22,1280},{0,22,1280},{0,13,1445},{0,14,6509},{0,12,2945},{2,31,173},{2,31,173},{2,31,173},{2,23,5},{5,10,4418},{0,22,1280},{0,22,1280},{0,13,1445},{12,1,4418},
{0,13,1445},{14,14,7938},{7,31,4253},{3,31,9},{0,29,656},{14,14,7938},{14,20,7938},{0,29,656},{0,23,7956},{14,20,7938},{0,23,7956},{1,0,617},{1,0,617},{1,0,617},{1,0,617},{0,11,4},{0,11,4},{0,11,4},{0,7,0},{0,5,325},{0,5,325},{4,31,65535},{2,31,41266},{1,31,3033},{0,31,2333},{4,31,65535},{1,31,46408},{0,30,3010},{0,27,21695},{0,31,65535},{0,25,53636},{6,31,13140},
{4,31,5571},{3,31,157},{2,29,932},{11,9,22568},{0,31,12404},{0,28,2474},{0,21,12245},{14,11,22568},{0,21,12245},{2,31,1630},{2,31,1630},{2,31,1630},{1,26,989},{0,29,4420},{0,23,1090},{0,23,1090},{0,14,1268},{0,15,6926},{0,13,3029},{3,31,157},{3,31,157},{3,31,157},{3,23,37},{8,1,4418},{0,23,1090},{0,23,1090},{0,14,1268},{10,5,4418},{0,14,1268},{15,12,6962},{7,31,3709},{4,31,1},
{0,30,353},{15,12,6962},{13,22,6962},{0,30,353},{0,24,6970},{13,22,6962},{0,24,6970},{1,0,985},{1,0,985},{1,0,985},{1,0,985},{0,14,0},{0,14,0},{0,14,0},{0,8,4},{0,6,493},{0,6,493},{4,31,65535},{2,31,41986},{1,31,4257},{0,31,2873},{4,31,65535},{1,31,44950},{0,30,1984},{0,28,18569},{0,31,65535},{0,25,51026},{6,31,11934},{5,31,5125},{4,31,296},{3,29,706},{13,4,20642},
{0,31,11234},{0,29,1634},{0,22,10422},{15,11,20642},{0,22,10422},{2,31,2350},{2,31,2350},{2,31,2350},{2,26,1450},{0,31,4450},{0,25,949},{0,25,949},{0,16,1096},{0,16,7397},{0,14,3171},{4,31,296},{4,31,296},{4,31,296},{3,25,10},{8,4,4418},{0,25,949},{0,25,949},{0,16,1096},{14,2,4418},{0,16,1096},{14,17,5941},{7,31,3250},{5,31,0},{0,30,128},{14,17,5941},{13,23,5941},{0,30,128},
{0,24,5953},{13,23,5941},{0,24,5953},{2,0,1450},{2,0,1450},{2,0,1450},{2,0,1450},{0,17,0},{0,17,0},{0,17,0},{0,10,1},{0,8,697},{0,8,697},{4,31,65535},{2,31,42898},{1,31,5617},{1,31,3337},{4,31,65535},{1,31,43926},{0,31,1250},{0,28,15865},{0,31,65535},{0,25,48978},{7,31,10938},{5,31,4773},{4,31,360},{3,30,509},{12,9,19021},{1,31,10246},{0,30,1088},{0,23,8945},{14,13,19021},
{0,23,8945},{2,31,3262},{2,31,3262},{2,31,3262},{2,28,1822},{1,31,4682},{0,28,776},{0,28,776},{0,17,925},{0,18,7893},{0,15,3333},{4,31,360},{4,31,360},{4,31,360},{4,25,37},{3,25,4418},{0,28,776},{0,28,776},{0,17,925},{12,6,4418},{0,17,925},{15,15,5101},{8,31,2777},{6,31,9},{0,31,25},{15,15,5101},{11,26,5101},{0,31,25},{0,25,5105},{11,26,5101},{0,25,5105},{2,0,1818},
{2,0,1818},{2,0,1818},{2,0,1818},{0,20,1},{0,20,1},{0,20,1},{0,12,1},{0,9,925},{0,9,925},{4,31,65535},{2,31,44066},{1,31,7233},{1,31,3993},{4,31,65535},{2,31,43110},{0,31,738},{0,28,13417},{0,31,65535},{0,25,47186},{7,31,9978},{6,31,4467},{5,31,452},{4,30,357},{15,1,17485},{2,31,9441},{0,30,704},{0,24,7570},{15,13,17485},{0,24,7570},{3,31,4058},{3,31,4058},{3,31,4058},
{2,29,2315},{1,31,4874},{0,29,610},{0,29,610},{0,18,772},{0,20,8427},{0,16,3497},{5,31,452},{5,31,452},{5,31,452},{4,27,5},{9,6,4418},{0,29,610},{0,29,610},{0,18,772},{14,5,4418},{0,18,772},{15,16,4325},{8,31,2377},{6,31,25},{0,31,9},{15,16,4325},{15,22,4325},{0,31,9},{0,25,4337},{15,22,4325},{0,25,4337},{2,0,2314},{2,0,2314},{2,0,2314},{2,0,2314},{0,22,1},
{0,22,1},{0,22,1},{0,13,4},{0,10,1189},{0,10,1189},{5,31,65535},{3,31,45090},{1,31,9105},{1,31,4905},{4,31,65535},{2,31,42326},{0,31,482},{0,28,11225},{0,31,65535},{0,26,45590},{7,31,9274},{6,31,4179},{5,31,612},{4,30,245},{14,6,16034},{3,31,8633},{0,31,482},{0,24,6242},{15,14,16034},{0,24,6242},{3,31,5066},{3,31,5066},{3,31,5066},{2,31,2939},{1,31,5322},{0,31,482},{0,31,482},
{0,19,637},{0,20,8939},{0,17,3725},{5,31,612},{5,31,612},{5,31,612},{5,27,37},{10,5,4418},{0,31,482},{0,31,482},{0,19,637},{12,9,4418},{0,19,637},{13,24,3613},{9,31,1973},{7,31,9},{2,31,1},{13,24,3613},{15,23,3613},{2,31,1},{0,26,3617},{15,23,3613},{0,26,3617},{2,0,2938},{2,0,2938},{2,0,2938},{2,0,2938},{0,25,1},{0,25,1},{0,25,1},{0,15,0},{0,11,1489},
{0,11,1489},{5,31,65535},{3,31,46530},{1,31,11517},{1,31,6237},{4,31,65535},{2,31,41750},{0,31,500},{0,29,8976},{0,31,65535},{0,26,43934},{8,31,8225},{7,31,3853},{6,31,680},{5,30,109},{11,18,14504},{4,31,7667},{0,31,500},{0,25,4979},{10,21,14504},{0,25,4979},{3,31,6506},{3,31,6506},{3,31,6506},{3,31,3701},{2,31,6019},{0,31,500},{0,31,500},{0,20,520},{0,22,9629},{0,18,4035},{6,31,680},
{6,31,680},{6,31,680},{5,29,10},{10,8,4418},{0,31,500},{0,31,500},{0,20,520},{11,12,4418},{0,20,520},{15,19,2888},{10,31,1537},{8,31,16},{3,31,4},{15,19,2888},{13,26,2888},{3,31,4},{0,26,2906},{13,26,2888},{0,26,2906},{3,0,3697},{3,0,3697},{3,0,3697},{3,0,3697},{0,28,1},{0,28,1},{0,28,1},{0,17,4},{0,11,1930},{0,11,1930},{5,31,65535},{3,31,48082},{1,31,13933},
{1,31,7693},{4,31,65535},{2,31,41510},{0,31,788},{0,29,7120},{0,31,65535},{0,26,42734},{8,31,7409},{7,31,3693},{7,31,884},{6,30,116},{13,13,13235},{4,31,6899},{1,31,628},{0,25,3987},{15,16,13235},{0,25,3987},{4,31,7686},{4,31,7686},{4,31,7686},{3,31,4437},{2,31,6659},{0,31,788},{0,31,788},{0,21,421},{0,23,10286},{0,20,4305},{7,31,884},{7,31,884},{7,31,884},{6,29,37},{9,14,4418},
{1,31,628},{1,31,628},{0,21,421},{14,10,4418},{0,21,421},{15,20,2312},{10,31,1217},{8,31,16},{4,31,9},{15,20,2312},{12,28,2312},{4,31,9},{0,27,2314},{12,28,2312},{0,27,2314},{3,0,4337},{3,0,4337},{3,0,4337},{3,0,4337},{0,30,1},{0,30,1},{0,30,1},{0,18,1},{0,13,2329},{0,13,2329},{5,31,65535},{3,31,49890},{2,31,16310},{1,31,9405},{4,31,65535},{2,31,41526},{0,31,1332},
{0,29,5520},{0,31,65535},{0,26,41790},{8,31,6849},{8,31,3601},{7,31,980},{6,31,5},{15,8,12051},{5,31,6275},{2,31,801},{0,26,3066},{11,22,12051},{0,26,3066},{4,31,9062},{4,31,9062},{4,31,9062},{3,31,5429},{2,31,7555},{1,31,1172},{1,31,1172},{0,23,325},{0,23,11118},{0,20,4625},{7,31,980},{7,31,980},{7,31,980},{6,31,5},{11,10,4418},{2,31,801},{2,31,801},{0,23,325},{5,23,4418},
{0,23,325},{13,28,1800},{11,31,949},{9,31,4},{6,31,1},{13,28,1800},{11,30,1800},{6,31,1},{0,27,1818},{11,30,1800},{0,27,1818},{3,0,5105},{3,0,5105},{3,0,5105},{3,0,5105},{0,31,36},{0,31,36},{0,31,36},{0,20,4},{0,15,2741},{0,15,2741},{5,31,65535},{3,31,51954},{2,31,18790},{1,31,11373},{5,31,65535},{2,31,41798},{0,31,2132},{0,29,4176},{0,31,65535},{0,27,41092},{9,31,6153},
{8,31,3297},{7,31,1332},{7,31,37},{14,13,10952},{5,31,5763},{3,31,965},{0,27,2291},{11,23,10952},{0,27,2291},{4,31,10694},{4,31,10694},{4,31,10694},{4,31,6566},{3,31,8619},{1,31,1716},{1,31,1716},{0,24,221},{0,26,11876},{0,22,4989},{7,31,1332},{7,31,1332},{7,31,1332},{7,31,37},{12,9,4418},{3,31,965},{3,31,965},{0,24,221},{14,13,4418},{0,24,221},{14,26,1352},{11,31,725},{10,31,0},
{7,31,1},{14,26,1352},{15,26,1352},{7,31,1},{0,28,1360},{15,26,1352},{0,28,1360},{3,0,6001},{3,0,6001},{3,0,6001},{3,0,6001},{0,31,196},{0,31,196},{0,31,196},{0,21,1},{0,16,3130},{0,16,3130},{5,31,65535},{3,31,54582},{2,31,21886},{1,31,13893},{5,31,65535},{2,31,42410},{0,31,3338},{0,30,2841},{0,31,65535},{0,27,40390},{9,31,5649},{9,31,3249},{8,31,1325},{7,31,109},{14,15,9818},
{6,31,5258},{4,31,1108},{0,27,1589},{12,23,9818},{0,27,1589},{5,31,12376},{5,31,12376},{5,31,12376},{4,31,7844},{3,31,9861},{1,31,2634},{1,31,2634},{0,25,136},{0,28,12696},{0,23,5429},{8,31,1325},{8,31,1325},{8,31,1325},{7,31,109},{15,2,4418},{4,31,1108},{4,31,1108},{0,25,136},{13,16,4418},{0,25,136},{15,24,925},{12,31,505},{11,31,1},{8,31,1},{15,24,925},{15,27,925},{8,31,1},
{0,28,937},{15,27,925},{0,28,937},{4,0,7060},{4,0,7060},{4,0,7060},{4,0,7060},{1,31,425},{1,31,425},{1,31,425},{0,23,0},{0,17,3665},{0,17,3665},{5,31,65535},{3,31,57190},{2,31,24910},{1,31,16405},{5,31,65535},{2,31,43226},{0,31,4682},{0,30,1833},{0,31,65535},{0,27,40038},{10,31,5202},{9,31,3073},{8,31,1565},{8,31,277},{13,20,8901},{7,31,4814},{5,31,1300},{0,28,1021},{13,23,8902},
{0,28,1021},{5,31,14136},{5,31,14136},{5,31,14136},{4,31,9252},{3,31,11237},{2,31,3590},{2,31,3590},{0,26,85},{0,29,13491},{0,23,5925},{8,31,1565},{8,31,1565},{8,31,1565},{8,31,277},{11,18,4418},{5,31,1300},{5,31,1300},{0,26,85},{10,21,4418},{0,26,85},{15,25,617},{13,31,365},{12,31,16},{9,31,9},{15,25,617},{13,30,613},{9,31,9},{0,29,617},{13,30,613},{0,29,617},{4,0,7956},
{4,0,7956},{4,0,7956},{4,0,7956},{1,31,697},{1,31,697},{1,31,697},{0,25,4},{0,18,4181},{0,18,4181},{5,31,65535},{3,31,60054},{2,31,28190},{2,31,18895},{5,31,65535},{2,31,44298},{1,31,6090},{0,30,1081},{0,31,65535},{0,27,39942},{10,31,4850},{10,31,3107},{9,31,1709},{8,31,325},{13,22,8069},{7,31,4574},{6,31,1553},{0,29,602},{12,25,8069},{0,29,602},{6,31,16067},{6,31,16067},{6,31,16067},
{5,31,10872},{4,31,12824},{2,31,4662},{2,31,4662},{0,27,52},{0,30,14340},{0,25,6449},{9,31,1709},{9,31,1709},{9,31,1709},{8,31,325},{13,14,4418},{6,31,1553},{6,31,1553},{0,27,52},{8,25,4418},{0,27,52},{15,27,365},{13,31,205},{12,31,16},{11,31,4},{15,27,365},{13,31,365},{11,31,4},{0,29,377},{13,31,365},{0,29,377},{4,0,8980},{4,0,8980},{4,0,8980},{4,0,8980},{1,31,1097},
{1,31,1097},{1,31,1097},{0,26,1},{0,20,4682},{0,20,4682},{6,31,65535},{4,31,58981},{2,31,29926},{2,31,19751},{5,31,65535},{3,31,43402},{1,31,6910},{0,30,765},{0,31,65535},{0,28,34909},{11,31,4502},{10,31,3011},{9,31,2045},{9,31,557},{15,17,7322},{8,31,4242},{7,31,1781},{0,29,314},{12,26,7322},{0,29,314},{6,31,16739},{6,31,16739},{6,31,16739},{5,31,11492},{4,31,13636},{3,31,5586},{3,31,5586},
{0,28,65},{0,31,14139},{0,26,6041},{9,31,2045},{9,31,2045},{9,31,2045},{9,31,557},{14,13,4418},{7,31,1781},{7,31,1781},{0,28,29},{11,23,4418},{0,28,29},{15,28,181},{14,31,117},{13,31,4},{12,31,0},{15,28,181},{15,29,181},{12,31,0},{0,30,185},{15,29,181},{0,30,185},{4,0,9376},{4,0,9376},{4,0,9376},{4,0,9376},{2,31,1405},{2,31,1405},{2,31,1405},{0,28,40},{0,21,4520},
{0,21,4520},{6,31,65535},{4,31,57316},{3,31,30345},{3,31,20808},{6,31,65535},{3,31,41449},{2,31,8321},{1,31,301},{0,31,65535},{0,28,28330},{11,31,4232},{11,31,3093},{10,31,2248},{9,31,809},{15,19,6584},{9,31,3992},{7,31,2105},{0,30,77},{13,26,6584},{0,30,77},{7,31,17380},{7,31,17380},{7,31,17380},{6,31,12161},{5,31,14315},{3,31,6405},{3,31,6405},{1,29,53},{0,31,13860},{0,28,5286},{10,31,2248},
{10,31,2248},{10,31,2248},{9,31,809},{14,16,4418},{7,31,2105},{7,31,2105},{0,30,13},{15,20,4418},{0,30,13},{15,29,52},{14,31,36},{14,31,0},{13,31,9},{15,29,52},{15,30,50},{13,31,9},{0,30,68},{15,30,50},{0,30,68},{5,0,9250},{5,0,9250},{5,0,9250},{5,0,9250},{2,31,1549},{2,31,1549},{2,31,1549},{1,28,2},{0,23,4114},{0,23,4114},{6,31,65535},{5,31,55908},{4,31,31583},
{3,31,21256},{6,31,65535},{4,31,39740},{2,31,9073},{1,31,285},{0,31,65535},{0,29,23356},{12,31,4011},{11,31,3125},{11,31,2500},{10,31,1037},{13,27,6019},{10,31,3738},{8,31,2340},{0,31,4},{13,27,6019},{0,31,4},{7,31,17796},{7,31,17796},{7,31,17796},{6,31,12625},{6,31,14996},{4,31,7139},{4,31,7139},{1,30,86},{0,31,14020},{0,29,4652},{11,31,2500},{11,31,2500},{11,31,2500},{10,31,1037},{13,22,4418},
{8,31,2340},{8,31,2340},{0,31,4},{12,25,4418},{0,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{0,31,4},{15,31,4},{0,31,4},{6,0,9376},{6,0,9376},{6,0,9376},{6,0,9376},{3,31,1765},{3,31,1765},{3,31,1765},{1,30,50},{0,25,3877},{0,25,3877},{7,31,65535},{5,31,53236},{4,31,30487},{4,31,21367},{6,31,65535},{4,31,37332},{3,31,9385},
{2,31,36},{0,31,65535},{0,29,18680},{12,31,3443},{12,31,2843},{11,31,2248},{10,31,997},{14,25,5163},{10,31,3218},{9,31,2120},{1,31,4},{12,29,5163},{1,31,4},{7,31,17504},{7,31,17504},{7,31,17504},{7,31,12569},{6,31,14328},{4,31,7227},{4,31,7227},{2,31,20},{0,31,13376},{0,29,3944},{11,31,2248},{11,31,2248},{11,31,2248},{10,31,997},{15,17,3872},{9,31,2120},{9,31,2120},{1,31,4},{12,26,3872},
{1,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{6,0,9248},{6,0,9248},{6,0,9248},{6,0,9248},{3,31,2005},{3,31,2005},{3,31,2005},{2,30,5},{0,27,3545},{0,27,3545},{7,31,65535},{6,31,50785},{4,31,29687},{4,31,20567},{7,31,65535},{4,31,35412},{3,31,8985},{2,31,196},{1,31,65535},{0,29,14712},{12,31,2883},
{12,31,2283},{12,31,1922},{11,31,821},{13,29,4267},{11,31,2694},{10,31,1745},{3,31,4},{14,27,4267},{3,31,4},{8,31,16610},{8,31,16610},{8,31,16610},{7,31,12185},{6,31,13528},{5,31,6915},{5,31,6915},{2,31,52},{1,31,12556},{0,30,3314},{12,31,1922},{12,31,1922},{12,31,1922},{11,31,821},{12,28,3200},{10,31,1745},{10,31,1745},{3,31,4},{11,28,3200},{3,31,4},{15,31,0},{15,31,0},{15,31,0},
{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{6,0,9376},{6,0,9376},{6,0,9376},{6,0,9376},{4,31,2250},{4,31,2250},{4,31,2250},{2,31,52},{0,28,3170},{0,28,3170},{7,31,65535},{6,31,47239},{5,31,28065},{5,31,20409},{7,31,65535},{5,31,32574},{4,31,8965},{3,31,54},{1,31,65206},{0,30,10964},{13,31,2326},{12,31,1806},{12,31,1445},{11,31,650},{13,30,3361},
{11,31,2091},{10,31,1322},{4,31,0},{12,30,3361},{4,31,0},{8,31,15584},{8,31,15584},{8,31,15584},{7,31,12059},{7,31,12522},{6,31,6811},{6,31,6811},{3,31,50},{1,31,11710},{0,31,2834},{12,31,1445},{12,31,1445},{12,31,1445},{11,31,650},{14,23,2521},{10,31,1322},{10,31,1322},{4,31,0},{15,24,2521},{4,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},
{0,31,0},{15,31,0},{0,31,0},{7,0,9250},{7,0,9250},{7,0,9250},{7,0,9250},{5,31,2600},{5,31,2600},{5,31,2600},{3,31,50},{0,31,2834},{0,31,2834},{8,31,65535},{6,31,44903},{5,31,27361},{5,31,19705},{7,31,64494},{5,31,30846},{4,31,8677},{3,31,470},{2,31,60777},{0,30,8308},{13,31,1782},{13,31,1510},{12,31,1157},{12,31,557},{13,31,2646},{11,31,1691},{11,31,1066},{5,31,4},{15,27,2646},
{5,31,4},{8,31,14944},{8,31,14944},{8,31,14944},{8,31,11696},{7,31,11850},{6,31,6555},{6,31,6555},{4,31,164},{2,31,11097},{0,31,2610},{12,31,1157},{12,31,1157},{12,31,1157},{12,31,557},{15,21,1985},{11,31,1066},{11,31,1066},{5,31,4},{15,25,1985},{5,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{7,0,9410},
{7,0,9410},{7,0,9410},{7,0,9410},{5,31,2792},{5,31,2792},{5,31,2792},{4,31,164},{0,31,2610},{0,31,2610},{8,31,63584},{7,31,42019},{6,31,25930},{5,31,19769},{8,31,60273},{6,31,28860},{5,31,8761},{4,31,276},{3,31,56253},{0,30,6420},{13,31,1366},{13,31,1094},{13,31,925},{12,31,397},{15,25,2018},{12,31,1298},{11,31,794},{7,31,4},{13,30,2017},{7,31,4},{9,31,14244},{9,31,14244},{9,31,14244},
{8,31,11312},{8,31,11249},{7,31,6499},{7,31,6499},{4,31,260},{3,31,10457},{0,31,2642},{13,31,925},{13,31,925},{13,31,925},{12,31,397},{15,22,1513},{11,31,794},{11,31,794},{7,31,4},{14,27,1513},{7,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{8,0,9376},{8,0,9376},{8,0,9376},{8,0,9376},{6,31,3074},
{6,31,3074},{6,31,3074},{4,31,260},{0,31,2642},{0,31,2642},{8,31,58848},{7,31,39683},{6,31,25130},{6,31,19007},{8,31,54849},{6,31,27132},{5,31,8569},{4,31,756},{4,31,51302},{0,31,5046},{13,31,1078},{13,31,806},{13,31,637},{12,31,365},{15,26,1473},{12,31,978},{12,31,617},{8,31,9},{14,29,1473},{8,31,9},{9,31,13604},{9,31,13604},{9,31,13604},{8,31,11184},{8,31,10433},{7,31,6339},{7,31,6339},
{5,31,424},{4,31,9713},{0,31,2930},{13,31,637},{13,31,637},{13,31,637},{12,31,365},{14,27,1105},{12,31,617},{12,31,617},{8,31,9},{13,29,1105},{8,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{8,0,9248},{8,0,9248},{8,0,9248},{8,0,9248},{6,31,3330},{6,31,3330},{6,31,3330},{5,31,424},{0,31,2930},
{0,31,2930},
/**** ended inlining basisu_transcoder_tables_pvrtc2_45.inc ****/
};
#if 0
static const etc1s_to_atc_solution g_etc1s_to_pvrtc2_alpha_33[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_pvrtc2_alpha_33.inc ****/
{0,0,20},{0,0,20},{0,0,97},{0,0,145},{0,0,56},{0,0,104},{0,0,181},{0,0,406},{0,0,204},{0,0,442},{0,0,20},{0,0,20},{0,0,97},{0,0,145},{0,0,56},{0,0,104},{0,0,181},{0,0,406},{0,0,168},{0,0,406},{0,0,16},{0,0,16},{0,0,16},{0,0,64},{0,0,52},{0,0,100},{0,0,100},{0,0,325},{0,0,200},{0,0,361},{0,0,16},
{0,0,16},{0,0,16},{0,0,64},{0,0,52},{0,0,100},{0,0,100},{0,0,325},{0,0,164},{0,0,325},{0,0,20},{0,0,20},{0,0,97},{0,0,145},{0,0,20},{0,0,68},{0,0,145},{0,0,306},{0,0,68},{0,0,306},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,1,126},{0,0,88},{0,0,53},
{0,0,37},{0,0,116},{0,0,36},{0,0,1},{0,0,66},{0,0,88},{0,0,102},{0,1,126},{0,0,88},{0,0,53},{0,0,37},{0,0,116},{0,0,36},{0,0,1},{0,0,66},{0,0,52},{0,0,66},{0,0,52},{0,0,52},{0,0,52},{0,0,36},{0,0,16},{0,0,0},{0,0,0},{0,0,65},{0,0,52},{0,0,101},{0,0,52},{0,0,52},{0,0,52},{0,0,36},{0,0,16},
{0,0,0},{0,0,0},{0,0,65},{0,0,16},{0,0,65},{0,1,90},{0,0,52},{0,0,17},{0,0,1},{0,1,90},{0,0,36},{0,0,1},{0,0,50},{0,0,36},{0,0,50},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,0,0},{0,0,0},{0,0,0},{0,0,16},{0,0,52},{0,0,52},{0,1,286},{0,1,310},{0,0,453},{0,0,373},{0,1,115},{0,1,307},{0,0,241},
{0,0,130},{0,0,280},{0,0,70},{0,1,222},{0,1,246},{0,0,389},{0,0,309},{0,1,51},{1,0,195},{0,0,177},{0,0,66},{1,0,107},{0,0,66},{0,1,261},{0,1,261},{0,1,261},{0,0,324},{0,1,90},{0,0,192},{0,0,192},{0,0,81},{0,0,84},{0,0,21},{0,1,197},{0,1,197},{0,1,197},{0,0,260},{0,1,26},{0,0,128},{0,0,128},{0,0,17},{0,0,80},
{0,0,17},{0,1,26},{0,1,50},{1,0,130},{1,0,74},{0,1,26},{1,0,26},{1,0,74},{0,0,50},{1,0,26},{0,0,50},{0,0,260},{0,0,260},{0,0,260},{0,0,260},{0,1,89},{0,1,89},{0,1,89},{0,0,80},{0,0,20},{0,0,20},{1,0,494},{1,0,550},{1,0,694},{1,0,702},{0,2,363},{0,1,291},{1,0,583},{1,0,631},{0,1,116},{1,0,428},{1,0,170},
{1,0,226},{1,0,370},{1,0,378},{1,0,51},{0,1,35},{1,0,259},{1,0,307},{1,0,91},{1,0,307},{1,0,469},{1,0,469},{1,0,469},{1,0,477},{0,1,314},{0,1,290},{0,1,290},{1,0,406},{0,1,115},{1,0,203},{1,0,145},{1,0,145},{1,0,145},{1,0,153},{1,0,26},{1,0,34},{1,0,34},{1,0,82},{1,0,10},{1,0,82},{1,0,26},{0,1,50},{1,0,226},
{1,0,234},{1,0,26},{0,1,26},{1,0,234},{0,0,306},{0,1,26},{0,0,306},{1,0,468},{1,0,468},{1,0,468},{1,0,468},{0,1,265},{0,1,265},{0,1,265},{1,0,325},{0,1,90},{0,1,90},{1,1,116},{1,1,124},{1,1,215},{1,1,271},{1,1,188},{1,1,252},{1,1,343},{1,1,606},{0,1,152},{0,1,392},{1,1,35},{1,1,43},{1,1,134},{1,1,190},{1,1,107},
{1,1,171},{0,1,260},{0,1,356},{2,0,51},{0,1,356},{1,1,115},{1,1,115},{1,1,115},{1,1,171},{1,0,161},{1,0,241},{1,0,241},{1,0,469},{0,1,52},{0,1,292},{1,1,34},{1,1,34},{1,1,34},{1,1,90},{0,2,16},{1,0,160},{1,0,160},{0,1,256},{0,1,16},{0,1,256},{1,1,26},{1,1,34},{1,1,125},{0,1,116},{1,1,26},{2,0,26},{0,1,116},
{0,1,356},{2,0,26},{0,1,356},{1,0,90},{1,0,90},{1,0,90},{1,0,90},{1,0,97},{1,0,97},{1,0,97},{1,0,145},{0,1,36},{0,1,36},{1,1,116},{1,1,60},{1,1,39},{1,1,31},{1,1,92},{1,1,28},{1,1,7},{1,1,94},{1,1,100},{1,1,142},{1,1,115},{1,1,59},{1,1,38},{1,1,30},{0,3,51},{1,1,27},{1,1,6},{1,1,93},{1,1,51},
{1,1,93},{1,1,35},{1,1,35},{1,1,35},{1,1,27},{1,1,11},{1,1,3},{1,1,3},{1,1,90},{1,1,75},{1,1,138},{1,1,34},{1,1,34},{1,1,34},{1,1,26},{1,1,10},{1,1,2},{1,1,2},{1,1,89},{1,1,26},{1,1,89},{2,0,26},{1,1,34},{1,1,13},{1,1,5},{2,0,26},{3,0,26},{1,1,5},{0,1,68},{3,0,26},{0,1,68},{1,0,26},
{1,0,26},{1,0,26},{1,0,26},{1,1,2},{1,1,2},{1,1,2},{1,1,26},{1,1,74},{1,1,74},{1,2,238},{1,2,286},{1,1,375},{1,1,303},{1,2,105},{1,1,316},{1,1,183},{1,1,94},{0,2,156},{1,1,46},{1,2,189},{1,2,237},{1,1,326},{1,1,254},{1,2,56},{2,1,232},{1,1,134},{1,1,45},{0,2,56},{1,1,45},{1,2,222},{1,2,222},{1,2,222},
{1,1,267},{1,2,89},{1,1,147},{1,1,147},{1,1,58},{1,1,59},{1,1,10},{1,2,173},{1,2,173},{1,2,173},{1,1,218},{2,0,10},{1,1,98},{1,1,98},{1,1,9},{3,0,10},{1,1,9},{1,2,20},{1,2,68},{2,1,136},{2,1,72},{1,2,20},{0,2,20},{2,1,72},{0,1,36},{0,2,20},{0,1,36},{1,0,218},{1,0,218},{1,0,218},{1,0,218},{1,2,85},
{1,2,85},{1,2,85},{1,1,58},{1,1,10},{1,1,10},{2,1,550},{2,1,598},{2,1,730},{2,1,730},{1,3,361},{1,2,265},{2,1,597},{1,1,606},{1,2,152},{2,1,408},{2,1,189},{2,1,237},{2,1,369},{2,1,369},{2,1,56},{1,2,40},{2,1,236},{2,1,264},{4,0,56},{2,1,264},{2,1,534},{2,1,534},{2,1,534},{2,1,534},{1,2,265},{1,2,265},{1,2,265},
{1,1,410},{2,1,152},{2,1,212},{2,1,173},{2,1,173},{2,1,173},{2,1,173},{0,4,8},{2,1,40},{2,1,40},{2,1,68},{2,1,8},{2,1,68},{2,1,20},{1,2,36},{2,1,200},{2,1,200},{2,1,20},{4,0,20},{2,1,200},{0,1,260},{4,0,20},{0,1,260},{2,0,530},{2,0,530},{2,0,530},{2,0,530},{1,2,229},{1,2,229},{1,2,229},{1,2,325},{1,2,116},
{1,2,116},{2,2,152},{2,2,168},{2,2,273},{2,2,337},{2,2,236},{2,2,316},{2,2,421},{2,2,706},{1,2,116},{1,2,436},{2,2,52},{2,2,68},{2,2,173},{2,2,237},{3,0,56},{1,2,211},{1,2,251},{1,2,411},{3,1,56},{1,2,411},{2,2,152},{2,2,152},{2,2,152},{2,2,216},{2,1,158},{2,1,230},{2,1,230},{2,1,438},{1,2,35},{1,2,315},{2,2,52},
{2,2,52},{2,2,52},{2,2,116},{1,3,10},{2,1,130},{2,1,130},{1,2,290},{1,2,10},{1,2,290},{3,0,20},{2,2,52},{2,2,157},{1,2,130},{3,0,20},{3,1,20},{1,2,130},{0,2,410},{3,1,20},{0,2,410},{2,0,116},{2,0,116},{2,0,116},{2,0,116},{2,1,109},{2,1,109},{2,1,109},{2,1,149},{1,2,26},{1,2,26},{2,2,88},{2,2,40},{2,2,33},
{2,2,33},{2,2,76},{2,2,28},{2,2,21},{2,2,130},{2,2,120},{2,2,190},{2,2,84},{2,2,36},{2,2,29},{2,2,29},{1,4,56},{2,2,24},{2,2,17},{2,2,126},{2,2,56},{2,2,126},{2,2,24},{2,2,24},{2,2,24},{2,2,24},{2,2,12},{2,2,12},{2,2,12},{2,2,121},{2,2,104},{2,2,181},{2,2,20},{2,2,20},{2,2,20},{2,2,20},{2,2,8},
{2,2,8},{2,2,8},{2,2,117},{5,0,8},{2,2,117},{1,4,20},{2,2,20},{2,2,13},{2,2,13},{1,4,20},{2,2,20},{2,2,13},{0,2,90},{2,2,20},{0,2,90},{2,0,20},{2,0,20},{2,0,20},{2,0,20},{2,2,8},{2,2,8},{2,2,8},{2,2,40},{2,2,100},{2,2,100},{2,3,198},{2,3,270},{2,2,305},{2,2,241},{2,3,103},{2,2,252},{2,2,133},
{2,2,66},{1,3,148},{2,2,30},{2,3,162},{2,3,234},{2,2,269},{2,2,205},{2,3,67},{2,2,216},{2,2,97},{2,2,30},{6,0,67},{2,2,30},{2,3,189},{2,3,189},{2,3,189},{2,2,216},{2,3,94},{2,2,108},{2,2,108},{2,2,41},{2,2,40},{2,2,5},{2,3,153},{2,3,153},{2,3,153},{2,2,180},{3,1,8},{2,2,72},{2,2,72},{2,2,5},{4,1,8},
{2,2,5},{2,3,18},{2,3,90},{2,2,125},{2,2,61},{2,3,18},{6,0,18},{2,2,61},{0,2,26},{6,0,18},{0,2,26},{2,0,180},{2,0,180},{2,0,180},{2,0,180},{2,2,72},{2,2,72},{2,2,72},{2,2,40},{2,2,4},{2,2,4},{3,2,614},{2,3,622},{3,2,774},{3,2,766},{2,3,343},{2,3,247},{3,2,619},{2,2,514},{2,3,196},{2,2,382},{3,2,214},
{3,2,254},{3,2,374},{3,2,366},{4,0,59},{2,3,51},{3,2,219},{3,2,227},{3,2,59},{3,2,227},{3,2,605},{3,2,605},{3,2,605},{3,2,597},{2,3,222},{2,3,246},{2,3,246},{2,2,345},{3,2,179},{2,2,213},{3,2,205},{3,2,205},{3,2,205},{3,2,197},{4,0,10},{3,2,50},{3,2,50},{3,2,58},{3,2,10},{3,2,58},{3,2,18},{2,3,26},{3,2,178},
{3,2,170},{3,2,18},{5,1,18},{3,2,170},{0,2,218},{5,1,18},{0,2,218},{2,0,596},{2,0,596},{2,0,596},{2,0,596},{2,3,197},{2,3,197},{2,3,197},{2,2,296},{2,3,146},{2,3,146},{3,3,196},{3,3,220},{3,3,339},{3,3,411},{3,3,292},{3,3,388},{3,3,507},{3,3,814},{2,3,88},{2,3,488},{3,3,75},{3,3,99},{3,3,218},{3,3,290},{4,1,67},
{2,3,168},{2,3,248},{2,3,472},{4,2,67},{2,3,472},{3,2,182},{3,2,182},{3,2,182},{3,2,246},{3,2,161},{3,2,225},{3,2,225},{3,2,413},{2,3,24},{3,2,308},{3,2,61},{3,2,61},{3,2,61},{3,2,125},{2,4,8},{3,2,104},{3,2,104},{3,2,292},{7,0,8},{3,2,292},{4,1,18},{3,3,74},{3,3,193},{2,3,148},{4,1,18},{4,2,18},{2,3,148},
{0,3,468},{4,2,18},{0,3,468},{3,0,146},{3,0,146},{3,0,146},{3,0,146},{3,2,125},{3,2,125},{3,2,125},{3,2,157},{2,3,20},{2,3,20},{3,3,68},{3,3,28},{3,3,35},{3,3,43},{3,3,68},{3,3,36},{3,3,43},{3,3,174},{3,3,148},{3,3,246},{3,3,59},{3,3,19},{3,3,26},{3,3,34},{3,3,59},{3,3,27},{3,3,34},{2,3,152},{6,1,59},
{2,3,152},{3,3,19},{3,3,19},{3,3,19},{3,3,27},{3,3,19},{3,3,27},{3,3,27},{3,3,158},{3,3,139},{3,3,230},{3,3,10},{3,3,10},{3,3,10},{3,3,18},{3,3,10},{3,3,18},{3,3,18},{2,3,136},{6,1,10},{2,3,136},{5,0,18},{3,3,10},{3,3,17},{3,3,25},{5,0,18},{3,3,18},{3,3,25},{0,3,116},{3,3,18},{0,3,116},{3,0,18},
{3,0,18},{3,0,18},{3,0,18},{3,3,18},{3,3,18},{3,3,18},{3,3,58},{3,3,130},{3,3,130},{3,4,166},{3,4,262},{3,3,243},{3,3,187},{3,4,109},{3,3,196},{3,3,91},{3,3,46},{3,3,148},{3,3,22},{3,4,141},{3,4,237},{3,3,218},{3,3,162},{4,2,59},{3,3,171},{3,3,66},{3,3,21},{5,2,59},{3,3,21},{3,4,162},{3,4,162},{3,4,162},
{3,3,171},{3,4,105},{3,3,75},{3,3,75},{3,3,30},{3,3,27},{3,3,6},{3,4,137},{3,4,137},{3,4,137},{3,3,146},{4,2,10},{3,3,50},{3,3,50},{3,3,5},{5,2,10},{3,3,5},{3,4,20},{3,4,116},{3,3,97},{3,3,41},{3,4,20},{7,1,20},{3,3,41},{0,3,20},{7,1,20},{0,3,20},{3,0,146},{3,0,146},{3,0,146},{3,0,146},{3,3,50},
{3,3,50},{3,3,50},{3,3,26},{3,3,2},{3,3,2},{3,5,598},{3,4,550},{4,3,826},{4,3,810},{3,4,285},{3,4,237},{4,3,649},{3,3,430},{4,3,248},{3,3,310},{4,3,245},{4,3,277},{4,3,385},{4,3,369},{5,1,52},{3,4,68},{4,3,208},{4,3,196},{4,3,52},{4,3,196},{3,4,546},{3,4,546},{3,4,546},{3,4,594},{3,4,185},{3,4,233},{3,4,233},
{3,3,286},{4,3,212},{3,3,166},{4,3,241},{4,3,241},{4,3,241},{4,3,225},{5,1,16},{4,3,64},{4,3,64},{4,3,52},{7,1,16},{4,3,52},{4,3,20},{3,4,20},{4,3,160},{4,3,144},{4,3,20},{6,2,20},{4,3,144},{0,3,180},{6,2,20},{0,3,180},{3,0,530},{3,0,530},{3,0,530},{3,0,530},{3,4,169},{3,4,169},{3,4,169},{3,3,250},{3,3,130},
{3,3,130},{4,4,248},{4,4,280},{4,4,413},{4,4,493},{4,3,291},{4,3,451},{4,4,601},{4,3,835},{3,4,68},{3,4,548},{4,4,104},{4,4,136},{4,4,269},{4,4,349},{6,0,59},{3,4,131},{3,4,251},{3,4,539},{3,4,59},{3,4,539},{4,3,205},{4,3,205},{4,3,205},{4,3,261},{4,3,170},{4,3,226},{4,3,226},{4,3,394},{3,4,19},{4,3,275},{4,3,61},
{4,3,61},{4,3,61},{4,3,117},{6,0,10},{4,3,82},{4,3,82},{4,3,250},{3,4,10},{4,3,250},{5,2,20},{4,4,100},{4,4,233},{3,4,170},{5,2,20},{5,3,20},{3,4,170},{0,4,530},{5,3,20},{0,4,530},{4,0,180},{4,0,180},{4,0,180},{4,0,180},{4,3,145},{4,3,145},{4,3,145},{4,3,169},{3,4,18},{3,4,18},{4,4,56},{4,4,24},{4,4,45},
{4,4,61},{4,4,68},{4,4,52},{4,4,73},{4,4,226},{4,4,184},{3,4,292},{4,4,40},{4,4,8},{4,4,29},{4,4,45},{4,4,52},{4,4,36},{4,4,57},{3,4,171},{7,2,52},{3,4,171},{4,4,20},{4,4,20},{4,4,20},{4,4,36},{4,4,32},{4,4,48},{4,4,48},{4,4,201},{4,4,180},{3,4,267},{4,4,4},{4,4,4},{4,4,4},{4,4,20},{5,2,16},
{4,4,32},{4,4,32},{3,4,146},{7,2,16},{3,4,146},{6,1,20},{4,4,4},{4,4,25},{4,4,41},{6,1,20},{4,4,20},{4,4,41},{0,4,146},{4,4,20},{0,4,146},{4,0,20},{4,0,20},{4,0,20},{4,0,20},{4,4,32},{4,4,32},{4,4,32},{4,4,80},{3,4,146},{3,4,146},{4,5,142},{4,5,262},{4,4,189},{4,4,141},{4,5,123},{4,4,148},{4,4,57},
{4,4,34},{4,4,120},{4,4,22},{4,5,126},{4,5,246},{4,4,173},{4,4,125},{5,3,52},{4,4,132},{4,4,41},{4,4,18},{6,3,52},{4,4,18},{4,5,141},{4,5,141},{4,5,141},{4,4,132},{4,4,96},{4,4,48},{4,4,48},{4,4,25},{4,4,20},{4,4,13},{4,5,125},{4,5,125},{4,5,125},{4,4,116},{6,1,16},{4,4,32},{4,4,32},{4,4,9},{6,3,16},
{4,4,9},{7,0,26},{4,5,146},{4,4,73},{4,4,25},{7,0,26},{3,5,26},{4,4,25},{0,4,18},{3,5,26},{0,4,18},{4,0,116},{4,0,116},{4,0,116},{4,0,116},{4,4,32},{4,4,32},{4,4,32},{4,4,16},{4,4,4},{4,4,4},{4,5,558},{4,5,486},{4,4,845},{4,4,733},{4,5,235},{4,5,235},{4,4,553},{4,4,354},{5,4,276},{4,4,246},{5,4,282},
{5,4,306},{5,4,402},{5,4,378},{6,2,51},{4,5,91},{5,4,203},{5,4,171},{5,4,51},{5,4,171},{4,5,477},{4,5,477},{4,5,477},{4,5,549},{4,5,154},{4,5,226},{4,5,226},{4,4,233},{3,5,235},{4,4,125},{5,4,281},{5,4,281},{5,4,281},{5,4,257},{7,0,10},{5,4,82},{5,4,82},{5,4,50},{3,5,10},{5,4,50},{6,2,26},{4,5,18},{5,4,146},
{5,4,122},{6,2,26},{7,3,26},{5,4,122},{0,4,146},{7,3,26},{0,4,146},{4,0,468},{4,0,468},{4,0,468},{4,0,468},{4,5,145},{4,5,145},{4,5,145},{4,4,208},{4,4,100},{4,4,100},{5,5,308},{5,5,348},{5,5,495},{5,5,583},{5,4,285},{5,4,429},{5,4,633},{5,4,781},{4,5,56},{4,5,616},{5,5,139},{5,5,179},{5,5,326},{5,5,414},{7,1,52},
{4,5,100},{4,5,260},{5,4,612},{4,5,52},{5,4,612},{5,4,234},{5,4,234},{5,4,234},{5,4,282},{5,4,185},{5,4,233},{5,4,233},{5,4,381},{4,5,20},{5,4,248},{5,4,65},{5,4,65},{5,4,65},{5,4,113},{7,1,16},{5,4,64},{5,4,64},{5,4,212},{7,3,16},{5,4,212},{6,3,26},{5,5,130},{5,5,277},{4,5,196},{6,3,26},{6,4,26},{4,5,196},
{0,4,596},{6,4,26},{0,4,596},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{5,4,169},{5,4,169},{5,4,169},{5,4,185},{4,5,20},{4,5,20},{5,5,52},{5,5,28},{5,5,63},{5,5,87},{5,5,76},{5,5,76},{5,5,111},{5,5,286},{5,5,228},{4,5,296},{5,5,27},{5,5,3},{5,5,38},{5,5,62},{5,5,51},{5,5,51},{5,5,86},{4,5,196},{3,6,51},
{4,5,196},{5,5,27},{5,5,27},{5,5,27},{5,5,51},{5,5,51},{5,5,75},{5,5,75},{5,5,250},{4,5,180},{4,5,260},{5,5,2},{5,5,2},{5,5,2},{5,5,26},{6,3,10},{5,5,50},{5,5,50},{4,5,160},{6,4,10},{4,5,160},{7,2,26},{5,5,2},{5,5,37},{5,5,61},{7,2,26},{5,5,26},{5,5,61},{0,5,180},{5,5,26},{0,5,180},{5,0,26},
{5,0,26},{5,0,26},{5,0,26},{5,5,50},{5,5,50},{5,5,50},{5,5,106},{4,5,116},{4,5,116},{5,6,126},{5,5,220},{5,5,143},{5,5,103},{5,6,145},{5,5,108},{5,5,31},{5,5,30},{5,5,100},{5,5,30},{5,6,117},{5,5,211},{5,5,134},{5,5,94},{6,4,51},{5,5,99},{5,5,22},{5,5,21},{7,4,51},{5,5,21},{5,6,126},{5,6,126},{5,6,126},
{5,5,99},{5,5,67},{5,5,27},{5,5,27},{5,5,26},{5,5,19},{5,5,26},{5,6,117},{5,6,117},{5,6,117},{5,5,90},{7,2,10},{5,5,18},{5,5,18},{5,5,17},{5,5,10},{5,5,17},{6,4,26},{5,5,130},{5,5,53},{5,5,13},{6,4,26},{7,4,26},{5,5,13},{0,5,20},{7,4,26},{0,5,20},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{5,5,18},
{5,5,18},{5,5,18},{5,5,10},{5,5,10},{5,5,10},{5,6,478},{5,6,430},{5,5,735},{5,5,631},{5,6,193},{5,6,241},{5,5,463},{5,5,286},{4,6,268},{5,5,190},{6,5,325},{5,6,309},{6,5,425},{6,5,393},{7,3,56},{6,5,120},{6,5,204},{6,5,152},{6,5,56},{6,5,152},{5,6,414},{5,6,414},{5,6,414},{5,6,510},{5,6,129},{5,6,225},{5,6,225},
{5,5,186},{5,5,195},{5,5,90},{5,6,293},{5,6,293},{5,6,293},{6,5,293},{5,6,8},{6,5,104},{6,5,104},{6,5,52},{4,6,8},{6,5,52},{7,3,20},{5,6,20},{6,5,136},{6,5,104},{7,3,20},{6,5,20},{6,5,104},{0,5,116},{6,5,20},{0,5,116},{5,0,410},{5,0,410},{5,0,410},{5,0,410},{5,6,125},{5,6,125},{5,6,125},{5,5,170},{5,5,74},
{5,5,74},{6,5,350},{6,6,424},{6,6,585},{6,5,670},{6,5,287},{6,5,415},{6,5,607},{6,5,735},{5,6,52},{6,5,588},{6,5,154},{6,6,228},{6,6,389},{6,5,474},{5,7,51},{5,6,75},{5,6,275},{6,5,539},{5,6,51},{6,5,539},{6,5,269},{6,5,269},{6,5,269},{6,5,309},{6,5,206},{6,5,246},{6,5,246},{6,5,374},{5,6,27},{6,5,227},{6,5,73},
{6,5,73},{6,5,73},{6,5,113},{6,5,10},{6,5,50},{6,5,50},{6,5,178},{3,7,10},{6,5,178},{5,7,26},{5,6,146},{6,6,325},{5,6,226},{5,7,26},{5,6,26},{5,6,226},{0,5,530},{5,6,26},{0,5,530},{6,0,260},{6,0,260},{6,0,260},{6,0,260},{6,5,197},{6,5,197},{6,5,197},{6,5,205},{5,6,26},{5,6,26},{6,6,56},{6,6,40},{6,6,89},
{6,6,121},{6,6,92},{6,6,108},{6,6,157},{6,6,354},{6,6,280},{5,6,308},{6,6,20},{6,6,4},{6,6,53},{6,6,85},{6,6,56},{6,6,72},{6,6,121},{5,6,227},{4,7,56},{5,6,227},{6,6,40},{6,6,40},{6,6,40},{6,6,72},{6,6,76},{6,6,108},{6,6,108},{6,6,305},{5,6,139},{5,6,259},{6,6,4},{6,6,4},{6,6,4},{6,6,36},{7,4,8},
{6,6,72},{6,6,72},{5,6,178},{7,5,8},{5,6,178},{6,6,20},{6,6,4},{6,6,53},{6,6,85},{6,6,20},{4,7,20},{6,6,85},{0,6,218},{4,7,20},{0,6,218},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,6,72},{6,6,72},{6,6,72},{6,6,136},{5,6,90},{5,6,90},{6,7,118},{6,6,168},{6,6,105},{6,6,73},{6,7,175},{6,6,76},{6,6,13},
{6,6,34},{6,6,88},{6,6,46},{6,7,114},{6,6,164},{6,6,101},{6,6,69},{7,5,56},{6,6,72},{6,6,9},{6,6,30},{6,6,72},{6,6,30},{6,6,104},{6,6,104},{6,6,104},{6,6,72},{6,6,44},{6,6,12},{6,6,12},{6,6,33},{6,6,24},{6,6,45},{6,6,100},{6,6,100},{6,6,100},{6,6,68},{7,5,40},{6,6,8},{6,6,8},{6,6,29},{6,6,8},
{6,6,29},{7,5,20},{6,6,100},{6,6,37},{6,6,5},{7,5,20},{5,7,50},{6,6,5},{0,6,26},{5,7,50},{0,6,26},{6,0,68},{6,0,68},{6,0,68},{6,0,68},{6,6,8},{6,6,8},{6,6,8},{6,6,8},{6,6,20},{6,6,20},{6,7,406},{6,7,382},{6,6,633},{6,6,537},{6,7,159},{6,7,255},{6,6,381},{6,6,226},{5,7,228},{6,6,142},{6,7,306},
{6,7,282},{7,6,454},{7,6,414},{6,7,59},{7,6,139},{7,6,211},{6,6,126},{5,7,59},{6,6,126},{6,7,357},{6,7,357},{6,7,357},{6,6,456},{6,7,110},{6,7,230},{6,7,230},{6,6,145},{6,6,152},{6,6,61},{6,7,257},{6,7,257},{6,7,257},{7,6,333},{6,7,10},{7,6,130},{7,6,130},{6,6,45},{5,7,10},{6,6,45},{7,6,50},{6,7,26},{7,6,130},
{7,6,90},{7,6,50},{7,6,18},{7,6,90},{0,6,90},{7,6,18},{0,6,90},{6,0,356},{6,0,356},{6,0,356},{6,0,356},{6,7,109},{6,7,109},{6,7,109},{6,6,136},{6,6,52},{6,6,52},{7,6,374},{7,6,454},{7,6,634},{7,6,666},{7,6,297},{7,6,409},{7,6,589},{7,6,697},{6,7,56},{7,6,536},{7,6,149},{7,6,229},{7,6,409},{7,6,441},{7,6,72},
{6,7,56},{6,7,296},{7,6,472},{6,7,56},{7,6,472},{7,6,310},{7,6,310},{7,6,310},{7,6,342},{7,6,233},{7,6,265},{7,6,265},{7,6,373},{6,7,40},{7,6,212},{7,6,85},{7,6,85},{7,6,85},{7,6,117},{7,6,8},{7,6,40},{7,6,40},{7,6,148},{7,6,40},{7,6,148},{7,6,68},{6,7,116},{7,6,328},{6,7,260},{7,6,68},{6,7,20},{6,7,260},
{0,6,468},{6,7,20},{0,6,468},{7,0,306},{7,0,306},{7,0,306},{7,0,306},{7,6,229},{7,6,229},{7,6,229},{7,6,229},{6,7,36},{6,7,36},{7,7,68},{7,7,60},{7,7,123},{7,7,163},{7,7,116},{7,7,148},{7,7,211},{7,7,430},{6,7,248},{6,7,328},{7,7,19},{7,7,11},{7,7,74},{7,7,114},{7,7,67},{7,7,99},{7,7,162},{6,7,264},{7,7,171},
{6,7,264},{7,7,59},{7,7,59},{7,7,59},{7,7,99},{7,7,107},{7,7,147},{7,7,147},{7,7,366},{6,7,104},{6,7,264},{7,7,10},{7,7,10},{7,7,10},{7,7,50},{7,7,58},{7,7,98},{7,7,98},{6,7,200},{6,7,40},{6,7,200},{7,7,18},{7,7,10},{7,7,73},{6,7,100},{7,7,18},{7,7,50},{6,7,100},{0,7,260},{7,7,50},{0,7,260},{7,0,50},
{7,0,50},{7,0,50},{7,0,50},{7,6,85},{7,6,85},{7,6,85},{7,6,149},{6,7,68},{6,7,68},{7,7,196},{7,7,124},{7,7,75},{7,7,51},{7,7,148},{7,7,52},{7,7,3},{7,7,46},{7,7,84},{7,7,70},{7,7,195},{7,7,123},{7,7,74},{7,7,50},{7,7,147},{7,7,51},{7,7,2},{7,7,45},{7,7,59},{7,7,45},{7,7,75},{7,7,75},{7,7,75},
{7,7,51},{7,7,27},{7,7,3},{7,7,3},{7,7,46},{7,7,35},{7,7,70},{7,7,74},{7,7,74},{7,7,74},{7,7,50},{7,7,26},{7,7,2},{7,7,2},{7,7,45},{7,7,10},{7,7,45},{7,7,146},{7,7,74},{7,7,25},{7,7,1},{7,7,146},{7,7,50},{7,7,1},{0,7,36},{7,7,50},{0,7,36},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,7,2},
{7,7,2},{7,7,2},{7,7,10},{7,7,34},{7,7,34},{7,7,548},{7,7,476},{7,7,427},{7,7,355},{7,7,404},{7,7,260},{7,7,211},{7,7,106},{7,7,132},{7,7,34},{7,7,467},{7,7,395},{7,7,346},{7,7,274},{7,7,323},{7,7,179},{7,7,130},{7,7,25},{7,7,123},{7,7,25},{7,7,427},{7,7,427},{7,7,427},{7,7,355},{7,7,283},{7,7,211},{7,7,211},
{7,7,106},{7,7,83},{7,7,34},{7,7,346},{7,7,346},{7,7,346},{7,7,274},{7,7,202},{7,7,130},{7,7,130},{7,7,25},{7,7,74},{7,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,306},{7,0,306},{7,0,306},{7,0,306},{7,7,162},{7,7,162},{7,7,162},{7,7,106},{7,7,34},
{7,7,34},{0,0,122},{0,0,50},{0,0,1},{0,0,25},{0,0,158},{0,0,110},{0,0,61},{0,0,244},{0,0,210},{0,0,280},{0,0,122},{0,0,50},{0,0,1},{0,0,25},{0,0,158},{0,0,110},{0,0,61},{0,0,244},{0,0,174},{0,0,244},{0,0,1},{0,0,1},{0,0,1},{0,0,25},{0,0,37},{0,0,61},{0,0,61},{0,0,244},{0,0,161},{0,0,280},{0,0,1},
{0,0,1},{0,0,1},{0,0,25},{0,0,37},{0,0,61},{0,0,61},{0,0,244},{0,0,125},{0,0,244},{0,0,122},{0,0,50},{0,0,1},{0,0,25},{0,0,122},{0,0,74},{0,0,25},{0,0,144},{0,0,74},{0,0,144},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,1,81},{0,1,81},{0,0,122},
{0,0,82},{0,1,328},{0,0,243},{0,0,82},{0,0,129},{0,0,319},{0,0,165},{0,1,81},{0,1,81},{0,0,122},{0,0,82},{0,1,328},{0,0,243},{0,0,82},{0,0,129},{0,0,283},{0,0,129},{0,1,45},{0,1,45},{0,1,45},{0,0,18},{0,0,58},{0,0,18},{0,0,18},{0,0,65},{0,0,94},{0,0,101},{0,1,45},{0,1,45},{0,1,45},{0,0,18},{0,0,58},
{0,0,18},{0,0,18},{0,0,65},{0,0,58},{0,0,65},{0,1,72},{0,1,72},{0,0,113},{0,0,73},{0,1,72},{1,0,104},{0,0,73},{0,0,80},{1,0,104},{0,0,80},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,49},{0,0,85},{0,0,85},{0,2,225},{0,1,129},{0,1,449},{0,0,498},{0,1,264},{0,1,168},{0,0,402},
{0,0,273},{0,0,687},{0,0,309},{0,2,225},{0,1,129},{0,1,449},{0,0,498},{0,1,264},{0,1,168},{0,0,402},{0,0,273},{1,0,248},{0,0,273},{0,1,125},{0,1,125},{0,1,125},{0,1,221},{0,1,68},{0,0,146},{0,0,146},{0,0,17},{0,0,158},{0,0,53},{0,1,125},{0,1,125},{0,1,125},{0,1,221},{0,1,68},{0,0,146},{0,0,146},{0,0,17},{0,0,122},
{0,0,17},{1,0,72},{0,1,8},{1,0,292},{1,0,260},{1,0,72},{1,0,104},{1,0,260},{0,0,272},{1,0,104},{0,0,272},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,0,25},{0,0,25},{0,0,25},{0,0,1},{0,0,37},{0,0,37},{0,2,514},{0,2,558},{0,1,610},{0,1,514},{0,2,297},{0,1,153},{0,1,153},{0,1,777},{0,1,392},{0,0,802},{1,1,347},
{1,1,355},{1,1,446},{0,1,465},{0,2,248},{0,1,104},{0,1,104},{0,1,728},{0,1,248},{0,1,728},{0,2,414},{0,2,414},{0,2,414},{0,1,414},{0,1,149},{0,1,53},{0,1,53},{0,0,274},{0,1,292},{0,0,226},{1,0,229},{1,0,229},{1,0,229},{1,0,261},{1,0,68},{0,1,4},{0,1,4},{1,0,160},{1,0,52},{1,0,160},{0,2,104},{1,1,130},{0,1,200},
{0,1,104},{0,2,104},{2,0,74},{0,1,104},{0,1,584},{2,0,74},{0,1,584},{0,0,410},{0,0,410},{0,0,410},{0,0,410},{0,1,49},{0,1,49},{0,1,49},{0,0,130},{0,0,82},{0,0,82},{1,1,464},{1,1,400},{1,1,365},{1,1,397},{1,1,572},{0,2,499},{0,1,387},{0,1,435},{0,1,428},{0,1,188},{1,1,140},{1,1,76},{1,1,41},{1,1,73},{1,1,248},
{1,1,216},{0,1,131},{0,1,179},{2,0,264},{0,1,179},{1,1,364},{1,1,364},{1,1,364},{1,1,396},{0,2,314},{0,1,386},{0,1,386},{0,1,434},{0,1,67},{0,1,187},{1,1,40},{1,1,40},{1,1,40},{1,1,72},{0,2,58},{0,1,130},{0,1,130},{0,1,178},{0,1,58},{0,1,178},{0,3,72},{1,1,40},{1,1,5},{1,1,37},{0,3,72},{1,1,72},{1,1,37},
{0,1,170},{1,1,72},{0,1,170},{1,0,360},{1,0,360},{1,0,360},{1,0,360},{0,2,265},{0,2,265},{0,2,265},{0,1,265},{0,1,18},{0,1,18},{1,2,178},{1,2,202},{1,1,189},{1,1,157},{1,2,463},{1,1,316},{1,1,169},{1,1,238},{0,2,412},{0,1,124},{1,2,78},{1,2,102},{1,1,89},{1,1,57},{2,0,248},{0,2,99},{1,1,69},{0,1,99},{3,0,248},
{0,1,99},{1,1,140},{1,1,140},{1,1,140},{1,1,108},{1,1,152},{1,1,120},{1,1,120},{1,1,189},{0,1,275},{0,1,75},{1,1,40},{1,1,40},{1,1,40},{1,1,8},{1,1,52},{1,1,20},{1,1,20},{0,1,50},{1,1,68},{0,1,50},{1,2,74},{1,2,98},{1,1,85},{1,1,53},{1,2,74},{0,2,74},{1,1,53},{0,1,74},{0,2,74},{0,1,74},{1,0,104},
{1,0,104},{1,0,104},{1,0,104},{1,1,116},{1,1,116},{1,1,116},{1,1,164},{0,1,50},{0,1,50},{1,3,226},{1,2,106},{1,2,466},{1,1,429},{1,2,255},{1,2,207},{1,1,345},{1,1,238},{0,2,252},{1,1,298},{1,3,222},{1,2,102},{1,2,462},{1,1,425},{1,2,251},{1,2,203},{1,1,341},{1,1,234},{0,2,251},{1,1,234},{1,2,105},{1,2,105},{1,2,105},
{1,1,204},{1,2,86},{1,1,120},{1,1,120},{1,1,13},{0,2,83},{1,1,73},{1,2,101},{1,2,101},{1,2,101},{1,1,200},{2,0,52},{1,1,116},{1,1,116},{1,1,9},{3,0,52},{1,1,9},{2,1,74},{1,2,2},{2,1,274},{2,1,234},{2,1,74},{4,0,74},{2,1,234},{0,1,234},{4,0,74},{0,1,234},{1,0,104},{1,0,104},{1,0,104},{1,0,104},{1,1,20},
{1,1,20},{1,1,20},{1,1,4},{1,1,64},{1,1,64},{1,3,450},{1,2,522},{1,2,562},{1,2,490},{1,3,295},{1,2,127},{1,2,167},{1,1,750},{1,2,428},{1,1,714},{2,2,400},{2,2,416},{2,2,521},{1,2,454},{2,1,251},{1,2,91},{1,2,131},{0,2,651},{4,0,251},{0,2,651},{1,3,369},{1,3,369},{1,3,369},{1,2,369},{1,2,118},{1,2,46},{1,2,46},
{1,1,221},{0,2,163},{1,1,185},{2,1,257},{2,1,257},{2,1,257},{2,1,281},{0,4,50},{1,2,10},{1,2,10},{2,1,146},{2,1,50},{2,1,146},{3,0,80},{2,2,160},{1,2,202},{1,2,130},{3,0,80},{3,1,80},{1,2,130},{0,1,650},{3,1,80},{0,1,650},{1,0,360},{1,0,360},{1,0,360},{1,0,360},{1,2,37},{1,2,37},{1,2,37},{1,1,100},{1,1,64},
{1,1,64},{2,2,500},{2,2,444},{2,2,423},{2,2,463},{1,4,588},{1,3,513},{1,2,329},{1,2,441},{0,3,284},{1,2,232},{2,2,139},{2,2,83},{2,2,62},{2,2,102},{3,0,251},{2,2,243},{1,2,104},{1,2,216},{3,1,251},{1,2,216},{2,2,419},{2,2,419},{2,2,419},{2,2,459},{1,3,277},{1,2,325},{1,2,325},{1,2,437},{1,2,68},{1,2,228},{2,2,58},
{2,2,58},{2,2,58},{2,2,98},{1,3,52},{1,2,100},{1,2,100},{1,2,212},{1,2,52},{1,2,212},{1,4,74},{2,2,34},{2,2,13},{1,2,40},{1,4,74},{2,2,74},{1,2,40},{0,2,200},{2,2,74},{0,2,200},{2,0,410},{2,0,410},{2,0,410},{2,0,410},{1,3,241},{1,3,241},{1,3,241},{1,2,241},{1,2,32},{1,2,32},{2,3,202},{2,3,250},{2,2,183},
{2,2,159},{2,2,460},{2,2,316},{2,2,183},{2,2,274},{1,3,468},{1,2,104},{2,3,81},{2,3,129},{2,2,62},{2,2,38},{1,4,251},{1,3,96},{2,2,62},{1,2,88},{2,2,251},{1,2,88},{2,2,147},{2,2,147},{2,2,147},{2,2,123},{2,2,171},{2,2,147},{2,2,147},{2,2,238},{0,3,219},{1,2,68},{2,2,26},{2,2,26},{2,2,26},{2,2,2},{2,2,50},
{2,2,26},{2,2,26},{1,2,52},{5,0,50},{1,2,52},{2,3,80},{2,3,128},{2,2,61},{2,2,37},{2,3,80},{6,0,80},{2,2,37},{0,2,72},{6,0,80},{0,2,72},{2,0,122},{2,0,122},{2,0,122},{2,0,122},{2,2,146},{2,2,146},{2,2,146},{2,2,202},{1,2,32},{1,2,32},{2,3,234},{2,3,90},{2,2,455},{2,2,367},{2,3,253},{2,3,253},{2,2,295},
{2,2,210},{1,3,244},{2,2,282},{2,3,225},{2,3,81},{2,2,446},{2,2,358},{2,3,244},{2,3,244},{2,2,286},{2,2,201},{6,0,244},{2,2,201},{2,3,90},{2,3,90},{2,3,90},{2,2,171},{2,3,109},{2,2,99},{2,2,99},{2,2,14},{1,3,100},{2,2,86},{2,3,81},{2,3,81},{2,3,81},{2,2,162},{3,1,50},{2,2,90},{2,2,90},{2,2,5},{4,1,50},
{2,2,5},{4,0,80},{2,3,0},{3,2,260},{3,2,212},{4,0,80},{5,1,80},{3,2,212},{0,2,200},{5,1,80},{0,2,200},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{2,2,18},{2,2,18},{2,2,18},{2,2,10},{2,2,82},{2,2,82},{2,4,394},{2,3,442},{2,3,522},{2,3,474},{2,4,301},{2,3,109},{2,3,189},{2,2,658},{2,3,472},{2,2,634},{2,4,369},
{2,3,417},{2,3,497},{2,3,449},{3,2,244},{2,3,84},{2,3,164},{3,2,620},{5,1,244},{3,2,620},{2,4,330},{2,4,330},{2,4,330},{2,3,330},{2,3,93},{2,3,45},{2,3,45},{2,2,174},{1,3,132},{2,2,150},{3,2,289},{3,2,289},{3,2,289},{3,2,305},{4,0,52},{2,3,20},{2,3,20},{3,2,136},{3,2,52},{3,2,136},{2,4,80},{2,3,128},{2,3,208},
{2,3,160},{2,4,80},{7,0,80},{2,3,160},{0,2,584},{7,0,80},{0,2,584},{2,0,314},{2,0,314},{2,0,314},{2,0,314},{2,3,29},{2,3,29},{2,3,29},{2,2,74},{2,2,50},{2,2,50},{3,3,544},{3,3,496},{3,3,489},{3,3,537},{2,4,535},{2,4,535},{2,3,279},{2,3,455},{1,4,292},{2,3,284},{3,3,144},{3,3,96},{3,3,89},{3,3,137},{4,1,244},
{3,3,276},{2,3,83},{2,3,259},{4,2,244},{2,3,259},{3,3,480},{3,3,480},{3,3,480},{3,3,528},{2,4,246},{2,3,270},{2,3,270},{2,3,446},{2,3,75},{2,3,275},{3,3,80},{3,3,80},{3,3,80},{3,3,128},{2,4,50},{2,3,74},{2,3,74},{2,3,250},{7,0,50},{2,3,250},{5,0,80},{3,3,32},{3,3,25},{2,3,34},{5,0,80},{6,1,80},{2,3,34},
{0,3,234},{6,1,80},{0,3,234},{3,0,464},{3,0,464},{3,0,464},{3,0,464},{2,4,221},{2,4,221},{2,4,221},{2,3,221},{2,3,50},{2,3,50},{3,4,234},{3,3,304},{3,3,185},{3,3,169},{3,3,452},{3,3,324},{3,3,205},{3,3,318},{1,4,452},{2,3,92},{3,4,90},{3,3,160},{3,3,41},{3,3,25},{5,0,244},{2,4,99},{3,3,61},{2,3,83},{3,3,244},
{2,3,83},{3,3,160},{3,3,160},{3,3,160},{3,3,144},{3,3,196},{3,3,180},{3,3,180},{3,3,293},{2,3,187},{2,3,67},{3,3,16},{3,3,16},{3,3,16},{3,3,0},{3,3,52},{3,3,36},{3,3,36},{2,3,58},{6,1,52},{2,3,58},{4,2,80},{3,3,160},{3,3,41},{3,3,25},{4,2,80},{5,2,80},{3,3,25},{0,3,74},{5,2,80},{0,3,74},{3,0,144},
{3,0,144},{3,0,144},{3,0,144},{3,3,180},{3,3,180},{3,3,180},{3,3,244},{2,3,18},{2,3,18},{3,4,202},{3,4,82},{3,3,393},{3,3,313},{3,4,259},{3,4,307},{3,3,253},{3,3,190},{2,4,244},{3,3,274},{3,4,186},{3,4,66},{3,3,377},{3,3,297},{3,4,243},{2,4,243},{3,3,237},{3,3,174},{7,1,243},{3,3,174},{3,4,81},{3,4,81},{3,4,81},
{3,3,144},{3,4,138},{3,3,84},{3,3,84},{3,3,21},{2,4,123},{3,3,105},{3,4,65},{3,4,65},{3,4,65},{3,3,128},{4,2,52},{3,3,68},{3,3,68},{3,3,5},{5,2,52},{3,3,5},{5,1,74},{3,4,2},{4,3,250},{4,3,194},{5,1,74},{4,3,74},{4,3,194},{0,3,170},{4,3,74},{0,3,170},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{3,3,20},
{3,3,20},{3,3,20},{3,3,20},{3,3,104},{3,3,104},{3,5,346},{3,4,370},{3,4,490},{3,4,466},{3,5,315},{3,4,99},{3,4,219},{3,3,574},{2,4,468},{3,3,562},{3,5,330},{3,4,354},{3,4,474},{3,4,450},{4,3,243},{3,4,83},{3,4,203},{3,3,558},{6,2,243},{3,3,558},{3,5,297},{3,5,297},{3,5,297},{3,4,297},{3,4,74},{3,4,50},{3,4,50},
{3,3,133},{2,4,107},{3,3,121},{3,5,281},{3,5,281},{3,5,281},{3,4,281},{5,1,58},{3,4,34},{3,4,34},{3,3,117},{7,1,58},{3,3,117},{6,0,74},{3,4,98},{3,4,218},{3,4,194},{6,0,74},{3,4,74},{3,4,194},{0,3,522},{3,4,74},{0,3,522},{3,0,272},{3,0,272},{3,0,272},{3,0,272},{3,4,25},{3,4,25},{3,4,25},{3,3,52},{3,3,40},
{3,3,40},{4,4,596},{4,4,556},{4,4,563},{4,4,619},{3,5,477},{3,4,477},{3,4,237},{3,4,477},{2,5,308},{3,4,344},{4,4,155},{4,4,115},{4,4,122},{4,4,178},{5,2,243},{2,5,299},{3,4,68},{2,4,308},{5,3,243},{2,4,308},{4,4,547},{4,4,547},{4,4,547},{4,4,603},{3,5,221},{3,4,221},{3,4,221},{3,4,461},{3,4,88},{3,4,328},{4,4,106},
{4,4,106},{4,4,106},{4,4,162},{6,0,52},{3,4,52},{3,4,52},{2,4,292},{3,4,52},{2,4,292},{4,4,74},{4,4,34},{4,4,41},{3,4,32},{4,4,74},{7,2,74},{3,4,32},{0,4,272},{7,2,74},{0,4,272},{4,0,522},{4,0,522},{4,0,522},{4,0,522},{3,4,205},{3,4,205},{3,4,205},{3,4,205},{3,4,72},{3,4,72},{4,5,274},{4,4,300},{4,4,195},
{4,4,187},{4,4,452},{4,4,340},{4,4,235},{4,4,370},{2,5,404},{3,4,88},{4,5,105},{4,4,131},{4,4,26},{4,4,18},{6,1,243},{3,5,108},{4,4,66},{3,4,84},{4,4,243},{3,4,84},{4,4,179},{4,4,179},{4,4,179},{4,4,171},{4,4,227},{4,4,219},{4,4,219},{4,4,354},{3,4,152},{3,4,72},{4,4,10},{4,4,10},{4,4,10},{4,4,2},{5,2,58},
{4,4,50},{4,4,50},{3,4,68},{7,2,58},{3,4,68},{5,3,74},{4,4,130},{4,4,25},{4,4,17},{5,3,74},{6,3,74},{4,4,17},{0,4,80},{6,3,74},{0,4,80},{4,0,170},{4,0,170},{4,0,170},{4,0,170},{4,3,205},{4,3,205},{4,3,205},{4,3,269},{3,4,8},{3,4,8},{4,5,178},{4,5,82},{4,4,339},{4,4,267},{4,5,273},{4,5,369},{4,4,219},
{4,4,178},{3,5,252},{4,4,274},{4,5,153},{4,5,57},{4,4,314},{4,4,242},{7,0,248},{3,5,204},{4,4,194},{4,4,153},{3,5,248},{4,4,153},{4,5,78},{4,5,78},{4,5,78},{4,4,123},{4,4,147},{4,4,75},{4,4,75},{4,4,34},{3,5,152},{4,4,130},{4,5,53},{4,5,53},{4,5,53},{4,4,98},{6,1,58},{4,4,50},{4,4,50},{4,4,9},{6,3,58},
{4,4,9},{6,2,72},{4,5,8},{5,4,244},{5,4,180},{6,2,72},{5,4,72},{5,4,180},{0,4,144},{5,4,72},{0,4,144},{4,0,74},{4,0,74},{4,0,74},{4,0,74},{4,4,26},{4,4,26},{4,4,26},{4,4,34},{4,4,130},{4,4,130},{4,6,306},{4,5,306},{4,5,466},{4,5,466},{4,6,337},{4,5,97},{4,5,257},{4,4,498},{3,5,412},{4,4,498},{4,6,297},
{4,5,297},{4,5,457},{4,5,457},{5,4,248},{4,5,88},{4,5,248},{4,4,489},{7,3,248},{4,4,489},{4,5,270},{4,5,270},{4,5,270},{4,5,270},{4,5,61},{4,5,61},{4,5,61},{4,4,98},{3,5,88},{4,4,98},{4,5,261},{4,5,261},{4,5,261},{4,5,261},{7,0,52},{4,5,52},{4,5,52},{4,4,89},{3,5,52},{4,4,89},{7,1,72},{4,5,72},{4,5,232},
{3,5,232},{7,1,72},{4,5,72},{3,5,232},{0,4,464},{4,5,72},{0,4,464},{4,0,234},{4,0,234},{4,0,234},{4,0,234},{4,5,25},{4,5,25},{4,5,25},{4,4,34},{4,4,34},{4,4,34},{5,5,656},{5,5,624},{5,5,645},{5,5,709},{4,6,427},{4,5,403},{4,5,203},{4,5,507},{4,5,332},{4,5,412},{5,5,172},{5,5,140},{5,5,161},{5,5,225},{6,3,248},
{4,5,259},{4,5,59},{3,5,339},{6,4,248},{3,5,339},{5,5,620},{5,5,620},{5,5,620},{5,5,684},{4,6,202},{4,5,178},{4,5,178},{4,5,482},{4,5,107},{4,5,387},{5,5,136},{5,5,136},{5,5,136},{5,5,200},{7,1,58},{4,5,34},{4,5,34},{5,4,290},{7,3,58},{5,4,290},{5,5,72},{5,5,40},{5,5,61},{4,5,34},{5,5,72},{3,6,72},{4,5,34},
{0,5,314},{3,6,72},{0,5,314},{5,0,584},{5,0,584},{5,0,584},{5,0,584},{4,5,169},{4,5,169},{4,5,169},{4,5,193},{4,5,98},{4,5,98},{5,6,322},{5,5,304},{5,5,213},{5,5,213},{5,5,460},{5,5,364},{5,5,273},{5,5,430},{3,6,364},{4,5,92},{5,6,126},{5,5,108},{5,5,17},{5,5,17},{7,2,248},{4,6,123},{5,5,77},{4,5,91},{5,5,248},
{4,5,91},{5,5,204},{5,5,204},{5,5,204},{5,5,204},{5,5,264},{5,5,264},{5,5,264},{5,5,421},{4,5,123},{4,5,83},{5,5,8},{5,5,8},{5,5,8},{5,5,8},{6,3,52},{5,5,68},{5,5,68},{4,5,82},{6,4,52},{4,5,82},{6,4,72},{5,5,104},{5,5,13},{5,5,13},{6,4,72},{7,4,72},{5,5,13},{0,5,90},{7,4,72},{0,5,90},{5,0,200},
{5,0,200},{5,0,200},{5,0,200},{5,4,221},{5,4,221},{5,4,221},{5,4,277},{4,5,2},{4,5,2},{5,6,162},{5,6,90},{5,5,293},{5,5,229},{5,6,295},{5,5,396},{5,5,193},{5,5,174},{4,6,268},{5,5,282},{5,6,126},{5,6,54},{5,5,257},{5,5,193},{5,6,259},{4,6,171},{5,5,157},{5,5,138},{4,6,259},{5,5,138},{5,6,81},{5,6,81},{5,6,81},
{5,5,108},{5,5,136},{5,5,72},{5,5,72},{5,5,53},{4,6,187},{5,5,161},{5,6,45},{5,6,45},{5,6,45},{5,5,72},{7,2,52},{5,5,36},{5,5,36},{5,5,17},{5,5,52},{5,5,17},{7,3,74},{5,6,18},{5,5,221},{5,5,157},{7,3,74},{6,5,74},{5,5,157},{0,5,122},{6,5,74},{0,5,122},{5,0,72},{5,0,72},{5,0,72},{5,0,72},{5,5,36},
{5,5,36},{5,5,36},{5,5,52},{5,5,160},{5,5,160},{5,7,274},{5,6,250},{5,6,450},{5,6,474},{5,6,343},{5,6,103},{5,6,303},{5,5,430},{4,6,364},{5,5,442},{5,7,270},{5,6,246},{5,6,446},{5,6,470},{7,3,251},{5,6,99},{5,6,299},{5,5,426},{6,5,251},{5,5,426},{5,6,225},{5,6,225},{5,6,225},{5,6,249},{5,6,54},{5,6,78},{5,6,78},
{5,5,69},{4,6,75},{5,5,81},{5,6,221},{5,6,221},{5,6,221},{5,6,245},{5,6,50},{5,6,74},{5,6,74},{5,5,65},{4,6,50},{5,5,65},{5,7,74},{5,6,50},{5,6,250},{4,6,250},{5,7,74},{5,6,74},{4,6,250},{0,5,410},{5,6,74},{0,5,410},{5,0,200},{5,0,200},{5,0,200},{5,0,200},{5,6,29},{5,6,29},{5,6,29},{5,5,20},{5,5,32},
{5,5,32},{6,6,724},{6,6,700},{6,6,735},{5,6,690},{5,7,385},{5,6,337},{5,6,177},{5,6,545},{5,6,328},{5,6,488},{6,6,195},{6,6,171},{6,6,206},{6,6,278},{7,4,259},{5,6,216},{5,6,56},{4,6,376},{7,5,259},{4,6,376},{5,7,654},{5,7,654},{5,7,654},{5,6,654},{5,7,189},{5,6,141},{5,6,141},{5,6,509},{5,6,132},{5,5,450},{6,5,157},
{6,5,157},{6,5,157},{6,5,221},{6,5,52},{5,6,20},{5,6,20},{6,5,256},{3,7,52},{6,5,256},{6,6,74},{6,6,50},{6,6,85},{5,6,40},{6,6,74},{4,7,74},{5,6,40},{0,6,360},{4,7,74},{0,6,360},{5,0,650},{5,0,650},{5,0,650},{5,0,650},{5,6,137},{5,6,137},{5,6,137},{5,6,185},{5,6,128},{5,6,128},{6,7,378},{6,6,316},{6,6,239},
{6,6,247},{6,6,476},{6,6,396},{6,6,319},{5,6,465},{4,7,332},{5,6,104},{6,7,153},{6,6,91},{6,6,14},{6,6,22},{6,6,251},{5,7,144},{6,6,94},{5,6,104},{4,7,251},{5,6,104},{6,6,235},{6,6,235},{6,6,235},{6,6,243},{6,6,307},{6,6,315},{6,6,315},{5,6,461},{5,6,100},{5,6,100},{6,6,10},{6,6,10},{6,6,10},{6,6,18},{7,4,50},
{6,6,90},{6,6,90},{5,6,100},{7,5,50},{5,6,100},{7,5,74},{6,6,82},{6,6,5},{6,6,13},{7,5,74},{6,6,90},{6,6,13},{0,6,104},{6,6,90},{0,6,104},{6,0,234},{6,0,234},{6,0,234},{6,0,234},{6,5,241},{6,5,241},{6,5,241},{6,5,289},{5,6,0},{5,6,0},{6,7,154},{6,7,106},{6,6,255},{6,6,199},{6,7,325},{6,6,364},{6,6,175},
{6,6,178},{5,7,292},{5,6,232},{6,7,105},{6,7,57},{6,6,206},{6,6,150},{7,5,251},{5,7,144},{6,6,126},{6,6,129},{5,7,276},{6,6,129},{6,7,90},{6,7,90},{6,7,90},{6,6,99},{6,6,131},{6,6,75},{6,6,75},{6,6,78},{6,6,219},{5,6,132},{6,7,41},{6,7,41},{6,7,41},{6,6,50},{7,5,82},{6,6,26},{6,6,26},{6,6,29},{6,6,50},
{6,6,29},{6,7,80},{6,7,32},{6,6,181},{6,6,125},{6,7,80},{7,6,80},{6,6,125},{0,6,104},{7,6,80},{0,6,104},{6,0,74},{6,0,74},{6,0,74},{6,0,74},{6,6,50},{6,6,50},{6,6,50},{6,6,74},{5,6,128},{5,6,128},{6,7,442},{6,7,202},{6,7,442},{6,7,490},{6,7,309},{6,7,117},{6,7,357},{6,6,370},{5,7,324},{6,6,394},{6,7,441},
{6,7,201},{6,7,441},{6,7,489},{7,6,276},{6,7,116},{6,7,356},{6,6,369},{7,6,244},{6,6,369},{6,7,186},{6,7,186},{6,7,186},{6,7,234},{6,7,53},{6,7,101},{6,7,101},{6,6,46},{5,7,68},{6,6,70},{6,7,185},{6,7,185},{6,7,185},{6,7,233},{6,7,52},{6,7,100},{6,7,100},{6,6,45},{5,7,52},{6,6,45},{7,6,80},{6,7,32},{6,7,272},
{5,7,272},{7,6,80},{6,7,80},{5,7,272},{0,6,360},{6,7,80},{0,6,360},{6,0,170},{6,0,170},{6,0,170},{6,0,170},{6,7,37},{6,7,37},{6,7,37},{6,6,10},{6,6,34},{6,6,34},{7,7,800},{7,7,784},{6,7,802},{6,7,634},{6,7,903},{6,7,279},{6,7,159},{6,7,591},{6,7,332},{6,7,572},{7,7,224},{7,7,208},{7,7,257},{7,7,337},{7,6,339},
{6,7,179},{6,7,59},{5,7,419},{6,7,251},{5,7,419},{7,6,745},{7,6,745},{7,6,745},{6,7,585},{6,7,278},{6,7,110},{6,7,110},{6,6,469},{6,7,163},{6,6,385},{7,6,169},{7,6,169},{7,6,169},{7,6,225},{7,6,50},{6,7,10},{6,7,10},{7,6,226},{7,6,82},{7,6,226},{7,7,80},{7,7,64},{7,7,113},{6,7,50},{7,7,80},{7,7,144},{6,7,50},
{0,7,410},{7,7,144},{0,7,410},{6,0,584},{6,0,584},{6,0,584},{6,0,584},{6,7,109},{6,7,109},{6,7,109},{6,7,181},{6,6,160},{6,6,160},{7,7,393},{7,7,321},{7,7,272},{7,7,288},{7,7,477},{7,7,421},{7,7,372},{6,7,446},{6,7,483},{6,7,123},{7,7,137},{7,7,65},{7,7,16},{7,7,32},{7,7,221},{7,7,165},{7,7,116},{6,7,122},{7,7,261},
{6,7,122},{7,7,272},{7,7,272},{7,7,272},{7,7,288},{7,7,356},{7,7,372},{7,7,372},{6,7,446},{6,7,83},{6,7,123},{7,7,16},{7,7,16},{7,7,16},{7,7,32},{7,7,100},{7,7,116},{7,7,116},{6,7,122},{6,7,82},{6,7,122},{7,7,121},{7,7,49},{7,7,0},{7,7,16},{7,7,121},{7,7,65},{7,7,16},{0,7,121},{7,7,65},{0,7,121},{7,0,272},
{7,0,272},{7,0,272},{7,0,272},{7,6,265},{7,6,265},{7,6,265},{7,6,305},{6,7,2},{6,7,2},{7,7,265},{7,7,193},{7,7,144},{7,7,96},{7,7,253},{7,7,133},{7,7,84},{7,7,109},{7,7,297},{6,7,107},{7,7,201},{7,7,129},{7,7,80},{7,7,32},{7,7,189},{7,7,69},{7,7,20},{7,7,45},{7,7,101},{7,7,45},{7,7,144},{7,7,144},{7,7,144},
{7,7,96},{7,7,132},{7,7,84},{7,7,84},{7,7,109},{7,7,248},{6,7,107},{7,7,80},{7,7,80},{7,7,80},{7,7,32},{7,7,68},{7,7,20},{7,7,20},{7,7,45},{7,7,52},{7,7,45},{7,7,185},{7,7,113},{7,7,64},{7,7,16},{7,7,185},{7,7,65},{7,7,16},{0,7,9},{7,7,65},{0,7,9},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{7,7,68},
{7,7,68},{7,7,68},{7,7,100},{6,7,98},{6,7,98},{7,7,386},{7,7,314},{7,7,265},{7,7,193},{7,7,278},{7,7,134},{7,7,85},{7,7,4},{7,7,138},{7,7,40},{7,7,386},{7,7,314},{7,7,265},{7,7,193},{7,7,278},{7,7,134},{7,7,85},{7,7,4},{7,7,102},{7,7,4},{7,7,265},{7,7,265},{7,7,265},{7,7,193},{7,7,157},{7,7,85},{7,7,85},
{7,7,4},{7,7,89},{7,7,40},{7,7,265},{7,7,265},{7,7,265},{7,7,193},{7,7,157},{7,7,85},{7,7,85},{7,7,4},{7,7,53},{7,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,144},{7,0,144},{7,0,144},{7,0,144},{7,7,36},{7,7,36},{7,7,36},{7,7,4},{7,7,40},
{7,7,40},{0,1,200},{0,1,104},{0,0,153},{0,0,145},{0,1,561},{0,0,398},{0,0,181},{0,0,308},{0,0,498},{0,0,344},{0,1,200},{0,1,104},{0,0,153},{0,0,145},{0,1,561},{0,0,398},{0,0,181},{0,0,308},{0,0,462},{0,0,308},{0,0,9},{0,0,9},{0,0,9},{0,0,1},{0,0,45},{0,0,37},{0,0,37},{0,0,164},{0,0,137},{0,0,200},{0,0,9},
{0,0,9},{0,0,9},{0,0,1},{0,0,45},{0,0,37},{0,0,37},{0,0,164},{0,0,101},{0,0,164},{0,1,200},{0,1,104},{0,0,153},{0,0,145},{0,1,200},{1,0,232},{0,0,145},{0,0,208},{1,0,232},{0,0,208},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,2,232},{0,1,40},{0,1,200},
{0,1,392},{0,1,689},{0,1,593},{0,0,485},{0,0,500},{0,0,914},{0,0,536},{0,2,232},{0,1,40},{0,1,200},{0,1,392},{0,1,689},{0,1,593},{0,0,485},{0,0,500},{1,0,761},{0,0,500},{0,1,4},{0,1,4},{0,1,4},{0,0,49},{0,0,157},{0,0,85},{0,0,85},{0,0,100},{0,0,185},{0,0,136},{0,1,4},{0,1,4},{0,1,4},{0,0,49},{0,0,157},
{0,0,85},{0,0,85},{0,0,100},{0,0,149},{0,0,100},{1,0,200},{0,1,40},{0,1,200},{0,1,392},{1,0,200},{1,0,232},{0,1,392},{0,0,400},{1,0,232},{0,0,400},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,2,281},{0,2,149},{0,1,121},{0,1,121},{0,2,808},{0,1,376},{0,1,216},
{0,0,857},{0,1,1169},{0,0,893},{0,2,281},{0,2,149},{0,1,121},{0,1,121},{1,0,728},{0,1,376},{0,1,216},{0,0,857},{1,0,744},{0,0,857},{0,1,85},{0,1,85},{0,1,85},{0,1,85},{0,1,180},{0,1,180},{0,1,180},{0,0,73},{0,0,270},{0,0,109},{0,1,85},{0,1,85},{0,1,85},{0,1,85},{0,1,180},{0,1,180},{0,1,180},{0,0,73},{0,0,234},
{0,0,73},{0,2,232},{0,2,100},{0,1,72},{0,1,72},{0,2,232},{2,0,202},{0,1,72},{0,1,712},{2,0,202},{0,1,712},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,0,1},{0,0,1},{0,0,1},{0,0,9},{0,0,45},{0,0,45},{0,3,427},{0,2,229},{0,1,425},{0,1,233},{0,2,744},{0,1,504},{0,1,24},{0,1,584},{0,1,1105},{0,1,945},{0,3,427},
{0,2,229},{1,1,414},{0,1,233},{0,2,744},{0,1,504},{0,1,24},{0,1,584},{2,0,739},{0,1,584},{0,2,229},{0,2,229},{0,2,229},{0,1,229},{0,1,212},{0,1,20},{0,1,20},{0,0,281},{0,0,590},{0,0,317},{0,2,229},{0,2,229},{0,2,229},{0,1,229},{1,0,180},{0,1,20},{0,1,20},{0,0,281},{1,0,164},{0,0,281},{0,3,202},{0,2,4},{1,1,53},
{0,1,8},{0,3,202},{1,1,202},{0,1,8},{0,1,328},{1,1,202},{0,1,328},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,1,16},{0,1,16},{0,1,16},{0,0,25},{0,0,61},{0,0,61},{0,4,842},{0,3,740},{1,1,1125},{0,1,834},{0,3,744},{0,2,267},{0,1,283},{0,1,267},{0,1,1356},{0,1,476},{1,2,302},{1,2,230},{1,1,225},{1,1,225},{0,3,728},
{0,2,251},{0,1,267},{0,1,251},{1,1,728},{0,1,251},{0,3,596},{0,3,596},{0,3,596},{0,1,713},{0,2,186},{0,1,162},{0,1,162},{0,1,146},{0,1,395},{0,1,355},{1,1,104},{1,1,104},{1,1,104},{1,1,104},{0,2,170},{0,1,146},{0,1,146},{0,1,130},{0,1,170},{0,1,130},{1,2,202},{1,2,130},{1,1,125},{1,1,125},{1,2,202},{0,2,202},{1,1,125},
{0,1,202},{0,2,202},{0,1,202},{0,0,592},{0,0,592},{0,0,592},{0,0,592},{0,1,41},{0,1,41},{0,1,41},{0,1,65},{0,0,200},{0,0,200},{1,3,738},{1,2,522},{1,2,722},{1,1,885},{0,4,987},{0,2,443},{0,2,379},{0,1,507},{0,2,1100},{0,1,412},{1,3,254},{1,2,38},{1,2,238},{1,1,401},{1,2,739},{0,2,299},{0,2,235},{0,1,363},{0,2,739},
{0,1,363},{1,2,497},{1,2,497},{1,2,497},{1,1,524},{0,3,324},{0,2,154},{0,2,154},{0,1,146},{0,1,411},{0,1,51},{1,2,13},{1,2,13},{1,2,13},{1,1,40},{1,1,164},{0,2,10},{0,2,10},{0,1,2},{1,1,180},{0,1,2},{2,1,202},{1,2,34},{1,2,234},{0,2,234},{2,1,202},{4,0,202},{0,2,234},{0,1,362},{4,0,202},{0,1,362},{1,0,488},
{1,0,488},{1,0,488},{1,0,488},{0,2,145},{0,2,145},{0,2,145},{0,1,145},{0,1,50},{0,1,50},{1,3,450},{1,3,362},{1,2,306},{1,2,330},{1,2,1015},{1,2,583},{1,2,463},{1,1,990},{0,2,940},{0,1,860},{1,3,254},{1,3,166},{1,2,110},{1,2,134},{0,4,731},{0,3,288},{0,2,155},{1,1,794},{2,1,731},{1,1,794},{1,2,257},{1,2,257},{1,2,257},
{1,2,281},{1,2,390},{1,1,392},{1,1,392},{1,1,261},{0,2,315},{0,1,131},{1,2,61},{1,2,61},{1,2,61},{1,2,85},{2,0,164},{0,2,106},{0,2,106},{1,1,65},{3,0,164},{1,1,65},{3,0,208},{1,3,130},{1,2,74},{0,2,74},{3,0,208},{3,1,208},{0,2,74},{0,1,778},{3,1,208},{0,1,778},{1,0,232},{1,0,232},{1,0,232},{1,0,232},{1,1,196},
{1,1,196},{1,1,196},{1,1,212},{0,1,82},{0,1,82},{1,4,440},{1,3,234},{1,2,402},{1,2,234},{1,3,767},{1,2,503},{1,2,63},{1,2,687},{0,3,1140},{0,2,396},{1,4,404},{1,3,198},{1,2,366},{1,2,198},{1,3,731},{0,3,224},{1,2,27},{0,2,387},{1,2,731},{0,2,387},{1,3,233},{1,3,233},{1,3,233},{1,2,233},{1,2,230},{1,2,62},{1,2,62},
{1,1,277},{0,2,203},{1,1,385},{1,3,197},{1,3,197},{1,3,197},{1,2,197},{0,4,162},{1,2,26},{1,2,26},{1,1,241},{2,1,162},{1,1,241},{2,2,208},{1,3,2},{2,2,65},{1,2,2},{2,2,208},{5,0,208},{1,2,2},{0,2,362},{5,0,208},{0,2,362},{1,0,232},{1,0,232},{1,0,232},{1,0,232},{1,2,61},{1,2,61},{1,2,61},{1,1,52},{0,2,34},
{0,2,34},{1,5,810},{1,3,702},{1,2,1122},{1,2,738},{1,4,748},{1,3,281},{1,2,225},{1,2,273},{0,3,780},{0,2,252},{2,3,329},{2,3,281},{2,2,222},{2,2,230},{2,2,731},{1,3,272},{1,2,216},{0,2,216},{5,0,731},{0,2,216},{1,4,547},{1,4,547},{1,4,547},{1,2,638},{1,3,173},{1,2,125},{1,2,125},{1,2,173},{0,3,339},{0,2,152},{2,2,122},
{2,2,122},{2,2,122},{2,2,130},{1,3,164},{1,2,116},{1,2,116},{0,2,116},{1,2,164},{0,2,116},{2,3,208},{2,3,160},{2,2,101},{2,2,109},{2,3,208},{6,0,208},{2,2,109},{0,2,200},{6,0,208},{0,2,200},{1,0,538},{1,0,538},{1,0,538},{1,0,538},{1,2,25},{1,2,25},{1,2,25},{1,2,73},{0,2,52},{0,2,52},{2,3,810},{2,3,570},{2,3,810},
{2,2,887},{1,4,940},{1,3,393},{1,3,393},{1,2,449},{0,3,1004},{1,2,392},{2,3,281},{2,3,41},{2,3,281},{2,2,358},{3,1,731},{1,3,272},{1,3,272},{1,2,328},{4,1,731},{1,2,328},{2,3,554},{2,3,554},{2,3,554},{2,2,563},{1,4,315},{1,3,137},{1,3,137},{1,2,125},{0,3,163},{1,2,68},{2,3,25},{2,3,25},{2,3,25},{2,2,34},{2,2,162},
{1,3,16},{1,3,16},{1,2,4},{5,0,162},{1,2,4},{4,0,208},{2,3,32},{2,3,272},{1,3,272},{4,0,208},{5,1,208},{1,3,272},{0,2,328},{5,1,208},{0,2,328},{2,0,538},{2,0,538},{2,0,538},{2,0,538},{1,3,121},{1,3,121},{1,3,121},{1,2,121},{1,2,64},{1,2,64},{2,4,458},{2,3,410},{2,3,330},{2,3,378},{2,3,1013},{2,3,629},{1,3,505},
{2,2,962},{0,4,772},{1,2,776},{2,4,233},{2,3,185},{2,3,105},{2,3,153},{4,0,724},{1,4,323},{1,3,144},{2,2,737},{3,2,724},{2,2,737},{2,3,266},{2,3,266},{2,3,266},{2,3,314},{2,3,437},{2,2,395},{2,2,395},{2,2,286},{1,3,356},{1,2,100},{2,3,41},{2,3,41},{2,3,41},{2,3,89},{3,1,162},{1,3,80},{1,3,80},{2,2,61},{4,1,162},
{2,2,61},{2,4,208},{2,3,160},{2,3,80},{1,3,80},{2,4,208},{7,0,208},{1,3,80},{0,2,712},{7,0,208},{0,2,712},{2,0,250},{2,0,250},{2,0,250},{2,0,250},{2,2,226},{2,2,226},{2,2,226},{2,2,250},{1,2,64},{1,2,64},{2,5,436},{2,4,222},{2,3,362},{2,3,218},{2,4,773},{2,3,485},{2,3,85},{2,3,773},{0,4,804},{1,3,452},{2,5,387},
{2,4,173},{2,3,313},{2,3,169},{2,4,724},{1,4,211},{2,3,36},{1,3,436},{7,0,724},{1,3,436},{2,4,218},{2,4,218},{2,4,218},{2,3,218},{2,3,229},{2,3,85},{2,3,85},{2,2,254},{1,3,196},{2,2,374},{2,4,169},{2,4,169},{2,4,169},{2,3,169},{4,0,164},{2,3,36},{2,3,36},{2,2,205},{3,2,164},{2,2,205},{3,3,202},{2,4,4},{3,3,81},
{2,3,0},{3,3,202},{6,1,202},{2,3,0},{0,3,400},{6,1,202},{0,3,400},{2,0,218},{2,0,218},{2,0,218},{2,0,218},{2,3,85},{2,3,85},{2,3,85},{2,2,58},{1,3,52},{1,3,52},{2,5,760},{2,4,618},{2,3,1010},{2,3,650},{2,5,760},{2,4,303},{2,3,175},{2,3,287},{1,4,788},{1,3,236},{3,4,362},{3,4,338},{3,3,225},{3,3,241},{3,3,724},
{2,4,299},{2,3,171},{1,3,211},{6,1,724},{1,3,211},{2,5,504},{2,5,504},{2,5,504},{2,3,569},{2,4,166},{2,3,94},{2,3,94},{2,3,206},{0,4,363},{1,3,155},{3,3,144},{3,3,144},{3,3,144},{3,3,160},{2,4,162},{2,3,90},{2,3,90},{1,3,130},{7,0,162},{1,3,130},{4,2,208},{2,4,130},{3,3,81},{3,3,97},{4,2,208},{5,2,208},{3,3,97},
{0,3,202},{5,2,208},{0,3,202},{2,0,488},{2,0,488},{2,0,488},{2,0,488},{2,3,13},{2,3,13},{2,3,13},{2,3,85},{1,3,34},{1,3,34},{3,4,842},{3,4,626},{3,4,906},{3,3,897},{2,5,888},{2,4,351},{2,4,415},{2,3,399},{0,5,788},{2,3,380},{3,4,266},{3,4,50},{3,4,330},{3,3,321},{4,2,724},{2,4,251},{2,4,315},{2,3,299},{5,2,724},
{2,3,299},{3,4,617},{3,4,617},{3,4,617},{3,3,608},{2,5,312},{2,4,126},{2,4,126},{2,3,110},{1,4,164},{2,3,91},{3,4,41},{3,4,41},{3,4,41},{3,3,32},{3,3,164},{2,4,26},{2,4,26},{2,3,10},{6,1,164},{2,3,10},{5,1,202},{3,4,34},{3,4,314},{3,3,305},{5,1,202},{4,3,202},{3,3,305},{0,3,298},{4,3,202},{0,3,298},{3,0,592},
{3,0,592},{3,0,592},{3,0,592},{2,4,101},{2,4,101},{2,4,101},{2,3,101},{2,3,82},{2,3,82},{3,5,474},{3,4,402},{3,4,362},{3,4,434},{3,4,1019},{3,4,683},{2,4,463},{3,3,942},{1,5,804},{2,3,700},{3,5,218},{3,4,146},{3,4,106},{3,4,178},{5,1,723},{2,5,364},{2,4,139},{3,3,686},{4,3,723},{3,3,686},{3,4,281},{3,4,281},{3,4,281},
{3,4,353},{3,4,490},{2,4,382},{2,4,382},{3,3,317},{1,4,324},{2,3,75},{3,4,25},{3,4,25},{3,4,25},{3,4,97},{4,2,164},{2,4,58},{2,4,58},{3,3,61},{5,2,164},{3,3,61},{6,0,202},{3,4,130},{3,4,90},{2,4,90},{6,0,202},{3,4,202},{2,4,90},{0,3,650},{3,4,202},{0,3,650},{3,0,272},{3,0,272},{3,0,272},{3,0,272},{3,3,260},
{3,3,260},{3,3,260},{3,3,292},{2,3,50},{2,3,50},{3,6,440},{3,5,218},{3,4,330},{3,4,210},{3,5,787},{3,4,475},{3,4,115},{3,4,867},{1,5,772},{2,4,516},{3,6,376},{3,5,154},{3,4,266},{3,4,146},{6,0,723},{2,5,204},{3,4,51},{1,4,478},{3,4,723},{1,4,478},{3,5,209},{3,5,209},{3,5,209},{3,4,209},{3,4,234},{3,4,114},{3,4,114},
{3,3,237},{2,4,195},{3,3,369},{3,5,145},{3,5,145},{3,5,145},{3,4,145},{5,1,170},{3,4,50},{3,4,50},{3,3,173},{7,1,170},{3,3,173},{4,4,200},{3,5,10},{4,4,101},{3,4,2},{4,4,200},{7,2,200},{3,4,2},{0,4,442},{7,2,200},{0,4,442},{3,0,208},{3,0,208},{3,0,208},{3,0,208},{3,3,100},{3,3,100},{3,3,100},{3,3,68},{2,4,74},
{2,4,74},{3,6,692},{3,5,542},{3,4,906},{3,4,570},{3,6,780},{3,5,333},{3,4,133},{3,4,309},{2,5,804},{2,4,228},{4,5,401},{4,4,395},{4,4,234},{4,4,258},{4,4,723},{3,5,332},{3,4,132},{2,4,212},{7,2,723},{2,4,212},{3,6,467},{3,6,467},{3,6,467},{3,4,506},{3,5,165},{3,4,69},{3,4,69},{3,4,245},{1,5,324},{2,4,164},{4,4,170},
{4,4,170},{4,4,170},{4,4,194},{6,0,164},{3,4,68},{3,4,68},{2,4,148},{3,4,164},{2,4,148},{5,3,202},{3,5,100},{4,4,65},{4,4,89},{5,3,202},{6,3,202},{4,4,89},{0,4,208},{6,3,202},{0,4,208},{3,0,442},{3,0,442},{3,0,442},{3,0,442},{3,4,5},{3,4,5},{3,4,5},{3,4,101},{2,4,20},{2,4,20},{4,5,882},{4,5,690},{4,4,955},
{4,4,915},{3,6,844},{3,5,317},{3,5,445},{3,4,357},{1,6,772},{3,4,376},{4,5,257},{4,5,65},{4,4,330},{4,4,290},{5,3,723},{3,5,236},{3,5,364},{3,4,276},{6,3,723},{3,4,276},{4,5,686},{4,5,686},{4,5,686},{4,4,659},{3,6,315},{3,5,121},{3,5,121},{3,4,101},{2,5,171},{3,4,120},{4,5,61},{4,5,61},{4,5,61},{4,4,34},{5,2,170},
{3,5,40},{3,5,40},{3,4,20},{7,2,170},{3,4,20},{6,2,200},{4,5,40},{4,4,305},{4,4,265},{6,2,200},{5,4,200},{4,4,265},{0,4,272},{5,4,200},{0,4,272},{4,0,650},{4,0,650},{4,0,650},{4,0,650},{3,5,85},{3,5,85},{3,5,85},{3,4,85},{3,4,104},{3,4,104},{4,6,498},{4,5,402},{4,5,402},{4,5,498},{3,7,1017},{3,6,700},{3,5,429},
{3,4,917},{2,6,844},{3,4,632},{4,6,209},{4,5,113},{4,5,113},{4,5,209},{6,2,728},{3,6,411},{3,5,140},{3,4,628},{5,4,728},{3,4,628},{4,5,302},{4,5,302},{4,5,302},{4,5,398},{3,6,459},{3,5,329},{3,5,329},{3,4,341},{2,5,283},{3,4,56},{4,5,13},{4,5,13},{4,5,13},{4,5,109},{6,1,170},{3,5,40},{3,5,40},{3,4,52},{6,3,170},
{3,4,52},{7,1,200},{4,5,104},{4,5,104},{3,5,104},{7,1,200},{4,5,200},{3,5,104},{0,4,592},{4,5,200},{0,4,592},{4,0,298},{4,0,298},{4,0,298},{4,0,298},{4,4,298},{4,4,298},{4,4,298},{3,4,325},{3,4,40},{3,4,40},{4,7,452},{4,6,222},{4,5,306},{4,5,210},{4,6,809},{4,5,473},{4,5,153},{4,5,969},{2,6,748},{3,5,588},{4,7,371},
{4,6,141},{4,5,225},{4,5,129},{7,1,728},{3,6,203},{4,5,72},{2,5,513},{4,5,728},{2,5,513},{4,6,206},{4,6,206},{4,6,206},{4,5,206},{4,5,245},{4,5,149},{4,5,149},{4,4,226},{3,5,200},{4,4,370},{4,6,125},{4,6,125},{4,6,125},{4,5,125},{7,0,164},{4,5,68},{4,5,68},{4,4,145},{3,5,164},{4,4,145},{5,5,202},{4,6,20},{4,5,104},
{4,5,8},{5,5,202},{3,6,202},{4,5,8},{0,5,488},{3,6,202},{0,5,488},{4,0,202},{4,0,202},{4,0,202},{4,0,202},{4,4,106},{4,4,106},{4,4,106},{4,4,82},{3,5,100},{3,5,100},{4,7,632},{4,6,474},{4,5,810},{4,5,498},{4,7,808},{4,6,371},{4,5,99},{4,5,339},{3,6,828},{3,5,228},{5,6,446},{5,5,396},{5,5,249},{5,5,281},{5,5,728},
{4,6,371},{4,5,99},{3,5,219},{3,6,728},{3,5,219},{4,7,436},{4,7,436},{4,7,436},{4,5,449},{4,6,170},{4,5,50},{4,5,50},{4,5,290},{2,6,291},{3,5,179},{5,5,200},{5,5,200},{5,5,200},{5,5,232},{7,1,170},{4,5,50},{4,5,50},{3,5,170},{7,3,170},{3,5,170},{6,4,200},{4,6,74},{5,5,53},{5,5,85},{6,4,200},{7,4,200},{5,5,85},
{0,5,218},{7,4,200},{0,5,218},{4,0,400},{4,0,400},{4,0,400},{4,0,400},{4,5,1},{4,5,1},{4,5,1},{4,4,100},{3,5,10},{3,5,10},{5,6,930},{5,6,762},{5,5,973},{5,5,941},{4,7,808},{4,6,291},{4,6,483},{4,5,323},{2,7,764},{4,5,380},{5,6,254},{5,6,86},{5,5,297},{5,5,265},{6,4,728},{4,6,227},{5,5,373},{4,5,259},{7,4,728},
{4,5,259},{5,5,748},{5,5,748},{5,5,748},{5,5,716},{4,6,298},{4,6,122},{4,6,122},{4,5,98},{3,6,184},{4,5,155},{5,5,72},{5,5,72},{5,5,72},{5,5,40},{6,3,164},{4,6,58},{4,6,58},{4,5,34},{6,4,164},{4,5,34},{7,3,202},{5,6,50},{5,5,261},{5,5,229},{7,3,202},{6,5,202},{5,5,229},{0,5,250},{6,5,202},{0,5,250},{5,0,712},
{5,0,712},{5,0,712},{5,0,712},{4,6,73},{4,6,73},{4,6,73},{4,5,73},{4,5,130},{4,5,130},{5,7,530},{5,6,410},{5,6,450},{5,6,570},{5,6,1055},{4,7,720},{4,6,403},{4,5,819},{3,7,892},{4,5,572},{5,7,206},{5,6,86},{5,6,126},{5,6,246},{5,6,731},{3,7,387},{4,6,147},{4,5,563},{4,6,731},{4,5,563},{5,6,329},{5,6,329},{5,6,329},
{5,5,428},{4,7,420},{4,6,282},{4,6,282},{4,5,290},{3,6,248},{4,5,43},{5,6,5},{5,6,5},{5,6,5},{5,5,104},{7,2,164},{4,6,26},{4,6,26},{4,5,34},{5,5,164},{4,5,34},{5,7,202},{5,6,82},{5,6,122},{4,6,122},{5,7,202},{5,6,202},{4,6,122},{0,5,538},{5,6,202},{0,5,538},{5,0,328},{5,0,328},{5,0,328},{5,0,328},{4,6,281},
{4,6,281},{4,6,281},{4,5,281},{4,5,34},{4,5,34},{5,7,498},{5,7,234},{5,6,290},{5,6,218},{5,7,839},{5,6,479},{5,6,199},{5,6,1079},{3,7,732},{4,6,668},{5,7,398},{5,7,134},{5,6,190},{5,6,118},{6,5,731},{4,7,208},{5,6,99},{3,6,554},{3,7,731},{3,6,554},{5,7,209},{5,7,209},{5,7,209},{5,6,209},{5,6,262},{5,6,190},{5,6,190},
{5,5,221},{4,6,211},{4,5,315},{5,7,109},{5,7,109},{5,7,109},{5,6,109},{5,6,162},{5,6,90},{5,6,90},{5,5,121},{4,6,162},{5,5,121},{7,4,208},{5,7,34},{5,6,90},{5,6,18},{7,4,208},{7,5,208},{5,6,18},{0,6,538},{7,5,208},{0,6,538},{5,0,200},{5,0,200},{5,0,200},{5,0,200},{5,5,116},{5,5,116},{5,5,116},{5,5,100},{4,6,130},
{4,6,130},{5,7,1074},{5,7,414},{5,6,722},{5,6,434},{5,7,857},{5,7,417},{5,6,73},{5,6,377},{4,7,860},{4,6,236},{6,7,497},{6,6,403},{6,6,270},{6,6,310},{7,4,731},{4,7,379},{5,6,72},{4,6,232},{7,5,731},{4,6,232},{5,7,398},{5,7,398},{5,7,398},{5,6,398},{5,7,181},{5,6,37},{5,6,37},{5,6,341},{3,7,264},{4,6,200},{6,6,234},
{6,6,234},{6,6,234},{6,6,274},{6,5,164},{5,6,36},{5,6,36},{4,6,196},{3,7,164},{4,6,196},{7,5,202},{5,7,52},{6,6,45},{5,6,72},{7,5,202},{6,6,218},{5,6,72},{0,6,232},{6,6,218},{0,6,232},{5,0,362},{5,0,362},{5,0,362},{5,0,362},{5,6,1},{5,6,1},{5,6,1},{5,5,82},{4,6,4},{4,6,4},{6,7,986},{6,7,842},{6,6,999},
{6,6,975},{5,7,1417},{5,7,273},{5,6,505},{5,6,297},{4,7,828},{5,6,392},{6,7,257},{6,7,113},{6,6,270},{6,6,246},{7,5,739},{5,7,224},{6,6,366},{5,6,248},{6,6,731},{5,6,248},{6,6,803},{6,6,803},{6,6,803},{6,6,779},{5,7,261},{5,7,129},{5,7,129},{5,6,101},{4,7,203},{5,6,196},{6,6,74},{6,6,74},{6,6,74},{6,6,50},{7,4,162},
{5,7,80},{5,7,80},{5,6,52},{7,5,162},{5,6,52},{6,7,208},{6,7,64},{6,6,221},{6,6,197},{6,7,208},{7,6,208},{6,6,197},{0,6,232},{7,6,208},{0,6,232},{5,0,778},{5,0,778},{5,0,778},{5,0,778},{5,7,65},{5,7,65},{5,7,65},{5,6,65},{5,6,160},{5,6,160},{6,7,762},{6,7,426},{6,7,506},{6,7,650},{6,7,1085},{5,7,641},{5,7,385},
{5,6,729},{5,7,980},{5,6,520},{6,7,401},{6,7,65},{6,7,145},{6,7,289},{6,7,724},{5,7,416},{5,7,160},{5,6,504},{5,7,724},{5,6,504},{6,7,362},{6,7,362},{6,7,362},{6,6,443},{6,6,555},{5,7,241},{5,7,241},{5,6,245},{4,7,219},{5,6,36},{6,7,1},{6,7,1},{6,7,1},{6,6,82},{7,5,194},{5,7,16},{5,7,16},{5,6,20},{6,6,162},
{5,6,20},{7,6,208},{6,7,64},{6,7,144},{5,7,144},{7,6,208},{6,7,208},{5,7,144},{0,6,488},{6,7,208},{0,6,488},{6,0,362},{6,0,362},{6,0,362},{6,0,362},{5,7,241},{5,7,241},{5,7,241},{5,6,241},{5,6,32},{5,6,32},{6,7,1050},{6,7,522},{6,7,282},{6,7,234},{6,7,1069},{6,7,493},{6,7,253},{6,6,1122},{5,7,1012},{5,7,756},{7,7,843},
{6,7,401},{6,7,161},{6,7,113},{7,6,724},{6,7,372},{6,7,132},{4,7,601},{6,7,756},{4,7,601},{6,7,266},{6,7,266},{6,7,266},{6,7,218},{6,7,285},{6,7,237},{6,7,237},{6,6,222},{5,7,228},{5,6,260},{6,7,145},{6,7,145},{6,7,145},{6,7,97},{6,7,164},{6,7,116},{6,7,116},{6,6,101},{5,7,164},{6,6,101},{7,7,218},{7,7,178},{6,7,80},
{6,7,32},{7,7,218},{6,7,272},{6,7,32},{0,7,592},{6,7,272},{0,7,592},{6,0,202},{6,0,202},{6,0,202},{6,0,202},{6,6,130},{6,6,130},{6,6,130},{6,6,122},{5,6,160},{5,6,160},{6,7,1641},{6,7,1017},{6,7,617},{6,7,353},{6,7,1318},{6,7,430},{6,7,30},{6,7,398},{6,7,1035},{5,7,227},{7,7,393},{7,7,321},{7,7,272},{7,7,320},{7,7,621},
{6,7,426},{6,7,26},{5,7,226},{6,7,594},{5,7,226},{6,7,617},{6,7,617},{6,7,617},{6,7,353},{6,7,294},{6,7,30},{6,7,30},{6,7,398},{5,7,291},{5,7,227},{7,7,272},{7,7,272},{7,7,272},{7,7,320},{7,6,162},{6,7,26},{6,7,26},{5,7,226},{7,6,194},{5,7,226},{7,7,137},{7,7,65},{7,7,16},{6,7,25},{7,7,137},{7,7,113},{6,7,25},
{0,7,225},{7,7,113},{0,7,225},{6,0,328},{6,0,328},{6,0,328},{6,0,328},{6,7,5},{6,7,5},{6,7,5},{6,6,68},{5,7,2},{5,7,2},{7,7,985},{7,7,913},{7,7,864},{7,7,848},{7,7,1117},{6,7,654},{6,7,254},{6,7,110},{6,7,763},{5,7,179},{7,7,201},{7,7,129},{7,7,80},{7,7,64},{7,7,333},{7,7,245},{7,7,196},{6,7,74},{7,7,373},
{6,7,74},{7,7,864},{7,7,864},{7,7,864},{7,7,848},{6,7,710},{6,7,254},{6,7,254},{6,7,110},{6,7,363},{5,7,179},{7,7,80},{7,7,80},{7,7,80},{7,7,64},{7,7,212},{7,7,196},{7,7,196},{6,7,74},{6,7,194},{6,7,74},{7,7,137},{7,7,65},{7,7,16},{7,7,0},{7,7,137},{7,7,49},{7,7,0},{0,7,49},{7,7,49},{0,7,49},{6,0,712},
{6,0,712},{6,0,712},{6,0,712},{6,7,85},{6,7,85},{6,7,85},{6,7,61},{5,7,130},{5,7,130},{7,7,642},{7,7,570},{7,7,521},{7,7,449},{7,7,678},{7,7,534},{7,7,485},{6,7,205},{6,7,834},{6,7,34},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,278},{7,7,134},{7,7,85},{6,7,9},{7,7,198},{6,7,9},{7,7,521},{7,7,521},{7,7,521},
{7,7,449},{7,7,557},{7,7,485},{7,7,485},{6,7,205},{6,7,434},{6,7,34},{7,7,121},{7,7,121},{7,7,121},{7,7,49},{7,7,157},{7,7,85},{7,7,85},{6,7,9},{7,7,149},{6,7,9},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,400},{7,0,400},{7,0,400},{7,0,400},{6,7,421},
{6,7,421},{6,7,421},{6,7,205},{6,7,34},{6,7,34},{7,7,450},{7,7,378},{7,7,329},{7,7,257},{7,7,390},{7,7,246},{7,7,197},{7,7,148},{7,7,426},{6,7,130},{7,7,306},{7,7,234},{7,7,185},{7,7,113},{7,7,246},{7,7,102},{7,7,53},{7,7,4},{7,7,102},{7,7,4},{7,7,329},{7,7,329},{7,7,329},{7,7,257},{7,7,269},{7,7,197},{7,7,197},
{7,7,148},{7,7,377},{6,7,130},{7,7,185},{7,7,185},{7,7,185},{7,7,113},{7,7,125},{7,7,53},{7,7,53},{7,7,4},{7,7,53},{7,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{7,7,148},{7,7,148},{7,7,148},{7,7,148},{6,7,130},
{6,7,130},{0,2,445},{0,1,157},{0,1,117},{0,1,405},{0,1,926},{0,1,806},{0,0,670},{0,0,741},{0,0,1169},{0,0,777},{0,2,445},{0,1,157},{0,1,117},{0,1,405},{0,1,926},{0,1,806},{0,0,670},{0,0,741},{1,0,990},{0,0,741},{0,1,36},{0,1,36},{0,1,36},{0,0,9},{0,0,85},{0,0,45},{0,0,45},{0,0,116},{0,0,145},{0,0,152},{0,1,36},
{0,1,36},{0,1,36},{0,0,9},{0,0,85},{0,0,45},{0,0,45},{0,0,116},{0,0,109},{0,0,116},{1,0,421},{0,1,157},{0,1,117},{0,1,405},{1,0,421},{0,1,445},{0,1,405},{0,0,641},{0,1,445},{0,0,641},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,2,461},{0,2,109},{0,1,5},
{0,1,101},{0,1,1326},{0,1,822},{0,1,462},{0,0,1205},{0,1,1783},{0,0,1241},{0,2,461},{0,2,109},{0,1,5},{0,1,101},{1,0,1294},{0,1,822},{0,1,462},{0,0,1205},{1,0,1262},{0,0,1205},{0,1,4},{0,1,4},{0,1,4},{0,1,100},{0,0,261},{0,0,157},{0,0,157},{0,0,116},{0,0,257},{0,0,152},{0,1,4},{0,1,4},{0,1,4},{0,1,100},{0,0,261},
{0,0,157},{0,0,157},{0,0,116},{0,0,221},{0,0,116},{1,1,461},{0,2,109},{0,1,5},{0,1,101},{1,1,461},{2,0,421},{0,1,101},{0,1,901},{2,0,421},{0,1,901},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,3,430},{0,2,38},{0,1,158},{0,1,62},{0,2,1517},{0,1,989},{0,1,309},
{0,1,1317},{0,1,1878},{0,1,1678},{0,3,430},{0,2,38},{0,1,158},{0,1,62},{0,2,1517},{0,1,989},{0,1,309},{0,1,1317},{0,1,1517},{0,1,1317},{0,2,13},{0,2,13},{0,2,13},{0,1,13},{0,1,356},{0,1,260},{0,1,260},{0,0,193},{0,0,446},{0,0,229},{0,2,13},{0,2,13},{0,2,13},{0,1,13},{0,1,356},{0,1,260},{0,1,260},{0,0,193},{0,0,410},
{0,0,193},{0,3,421},{0,2,29},{0,1,149},{0,1,53},{0,3,421},{1,1,421},{0,1,53},{0,1,533},{1,1,421},{0,1,533},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,49},{0,0,85},{0,0,85},{0,4,602},{0,3,234},{0,2,518},{0,1,382},{0,3,1622},{0,2,825},{0,1,325},{0,1,821},{0,1,2022},{0,1,1182},{0,4,602},
{0,3,234},{0,2,518},{0,1,382},{1,1,1526},{0,2,825},{0,1,325},{0,1,821},{2,0,1526},{0,1,821},{0,2,157},{0,2,157},{0,2,157},{0,1,157},{0,1,388},{0,1,100},{0,1,100},{0,0,401},{0,0,766},{0,0,437},{0,2,157},{0,2,157},{0,2,157},{0,1,157},{1,0,356},{0,1,100},{0,1,100},{0,0,401},{1,0,340},{0,0,401},{1,2,425},{0,3,113},{1,1,234},
{0,1,261},{1,2,425},{0,2,425},{0,1,261},{0,1,421},{0,2,425},{0,1,421},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,0,25},{0,0,25},{0,0,25},{0,0,1},{0,0,37},{0,0,37},{0,4,845},{0,3,405},{0,2,725},{0,2,549},{0,3,1541},{0,2,654},{0,2,270},{0,1,722},{0,2,2583},{0,1,1083},{1,3,657},{1,2,345},{1,2,345},{0,2,549},{2,0,1517},
{0,2,654},{0,2,270},{0,1,722},{3,0,1517},{0,1,722},{0,3,404},{0,3,404},{0,3,404},{0,2,449},{0,2,346},{0,2,170},{0,2,170},{0,1,146},{0,1,707},{0,1,507},{1,1,232},{1,1,232},{1,1,232},{1,1,200},{0,2,346},{0,2,170},{0,2,170},{0,1,146},{0,1,346},{0,1,146},{2,1,421},{0,3,5},{1,2,149},{0,2,149},{2,1,421},{4,0,421},{0,2,149},
{0,1,601},{4,0,421},{0,1,601},{0,0,400},{0,0,400},{0,0,400},{0,0,400},{0,1,1},{0,1,1},{0,1,1},{0,0,100},{0,0,136},{0,0,136},{0,5,1209},{0,4,937},{1,2,1197},{0,2,789},{0,4,1526},{0,3,737},{0,2,14},{0,1,1042},{0,2,2487},{0,1,1403},{1,3,481},{1,3,173},{1,2,41},{1,2,161},{1,2,1526},{0,3,737},{0,2,14},{0,1,1042},{2,1,1526},
{0,1,1042},{0,4,793},{0,4,793},{0,4,793},{0,2,785},{0,3,356},{0,2,10},{0,2,10},{0,1,18},{0,1,899},{0,1,379},{1,2,37},{1,2,37},{1,2,37},{1,1,136},{1,1,340},{0,2,10},{0,2,10},{0,1,18},{1,1,356},{0,1,18},{3,0,425},{1,3,137},{1,2,5},{0,2,5},{3,0,425},{3,1,425},{0,2,5},{0,2,965},{3,1,425},{0,2,965},{0,0,784},
{0,0,784},{0,0,784},{0,0,784},{0,2,9},{0,2,9},{0,2,9},{0,1,9},{0,0,360},{0,0,360},{1,4,1158},{1,3,758},{1,2,850},{1,2,778},{0,4,1671},{0,3,546},{0,2,191},{0,2,903},{0,2,2390},{0,2,1430},{1,4,429},{1,3,29},{1,2,121},{1,2,49},{2,1,1526},{0,3,497},{0,2,142},{0,2,854},{4,0,1526},{0,2,854},{1,3,742},{1,3,742},{1,3,742},
{1,2,742},{0,3,437},{0,2,155},{0,2,155},{0,1,195},{0,2,946},{0,1,290},{1,3,13},{1,3,13},{1,3,13},{1,2,13},{2,0,340},{0,2,106},{0,2,106},{0,1,146},{3,0,340},{0,1,146},{1,4,425},{1,3,25},{1,2,117},{1,2,45},{1,4,425},{2,2,425},{1,2,45},{0,2,565},{2,2,425},{0,2,565},{1,0,733},{1,0,733},{1,0,733},{1,0,733},{0,2,74},
{0,2,74},{0,2,74},{0,1,74},{0,1,169},{0,1,169},{1,4,966},{1,4,606},{1,3,886},{1,2,682},{0,5,1742},{0,3,866},{0,3,641},{0,2,727},{0,3,2382},{0,2,758},{1,4,605},{1,4,245},{1,3,525},{1,2,321},{3,0,1517},{0,3,641},{1,2,302},{0,2,502},{3,1,1517},{0,2,502},{1,3,486},{1,3,486},{1,3,486},{1,2,486},{0,4,563},{0,3,241},{0,3,241},
{0,2,531},{0,2,626},{0,1,546},{1,3,125},{1,3,125},{1,3,125},{1,2,125},{0,4,338},{0,3,16},{0,3,16},{0,2,306},{2,1,338},{0,2,306},{3,1,433},{1,4,145},{2,2,212},{1,2,221},{3,1,433},{6,0,433},{1,2,221},{0,2,421},{6,0,433},{0,2,421},{1,0,461},{1,0,461},{1,0,461},{1,0,461},{0,3,225},{0,3,225},{0,3,225},{0,2,306},{0,1,185},
{0,1,185},{1,5,894},{1,4,462},{1,3,778},{1,3,646},{1,4,1626},{1,3,749},{1,3,429},{1,2,809},{0,3,2022},{0,2,614},{2,4,706},{1,4,362},{2,3,410},{1,3,546},{3,1,1526},{0,4,441},{0,3,227},{0,2,565},{4,1,1526},{0,2,565},{1,4,462},{1,4,462},{1,4,462},{1,3,525},{1,3,440},{1,2,296},{1,2,296},{1,2,280},{0,2,725},{0,2,85},{2,2,250},
{2,2,250},{2,2,250},{2,2,226},{1,3,340},{0,3,106},{0,3,106},{0,2,36},{1,2,340},{0,2,36},{3,2,425},{1,4,1},{2,3,185},{0,3,146},{3,2,425},{5,1,425},{0,3,146},{0,2,565},{5,1,425},{0,2,565},{1,0,461},{1,0,461},{1,0,461},{1,0,461},{1,2,100},{1,2,100},{1,2,100},{1,1,181},{0,2,49},{0,2,49},{1,6,1166},{1,4,878},{1,3,1226},
{1,3,742},{1,5,1545},{1,4,798},{1,3,29},{1,2,985},{0,3,2246},{0,2,1030},{2,4,482},{2,4,218},{2,3,58},{2,3,202},{2,3,1517},{0,4,521},{1,3,25},{1,2,981},{6,0,1517},{1,2,981},{1,5,749},{1,5,749},{1,5,749},{1,3,733},{1,4,374},{1,3,20},{1,3,20},{1,2,24},{0,3,482},{0,2,69},{2,3,49},{2,3,49},{2,3,49},{2,2,130},{2,2,338},
{1,3,16},{1,3,16},{1,2,20},{5,0,338},{1,2,20},{4,1,433},{1,4,145},{2,3,9},{1,3,9},{4,1,433},{7,0,433},{1,3,9},{0,2,965},{7,0,433},{0,2,965},{1,0,733},{1,0,733},{1,0,733},{1,0,733},{1,3,20},{1,3,20},{1,3,20},{1,2,20},{0,2,65},{0,2,65},{2,5,1218},{2,4,810},{2,3,874},{2,3,826},{1,5,1625},{1,4,542},{1,3,141},
{1,3,961},{0,4,1806},{0,3,642},{2,5,434},{2,4,26},{2,3,90},{2,3,42},{3,2,1517},{1,4,506},{1,3,105},{0,3,626},{5,1,1517},{0,3,626},{2,4,801},{2,4,801},{2,4,801},{2,3,801},{1,4,406},{1,3,116},{1,3,116},{1,2,152},{0,3,482},{1,2,285},{2,4,17},{2,4,17},{2,4,17},{2,3,17},{3,1,338},{1,3,80},{1,3,80},{1,2,116},{4,1,338},
{1,2,116},{3,3,425},{2,4,25},{2,3,89},{2,3,41},{3,3,425},{6,1,425},{2,3,41},{0,3,601},{6,1,425},{0,3,601},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{1,3,52},{1,3,52},{1,3,52},{1,2,52},{0,3,41},{0,3,41},{2,5,962},{2,4,618},{2,3,906},{2,3,666},{1,6,1710},{1,4,798},{1,4,663},{1,3,721},{0,4,1838},{0,3,450},{2,5,562},
{2,4,218},{2,3,506},{2,3,266},{4,1,1514},{0,5,474},{2,3,285},{0,3,434},{4,2,1514},{0,3,434},{2,4,497},{2,4,497},{2,4,497},{2,3,497},{1,5,536},{1,4,222},{1,4,222},{1,3,552},{0,4,469},{0,3,281},{2,4,97},{2,4,97},{2,4,97},{2,3,97},{4,0,340},{1,4,26},{1,4,26},{0,3,265},{3,2,340},{0,3,265},{4,2,425},{2,4,137},{3,3,194},
{2,3,185},{4,2,425},{5,2,425},{2,3,185},{0,3,425},{5,2,425},{0,3,425},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{1,4,197},{1,4,197},{1,4,197},{1,3,296},{0,3,25},{0,3,25},{2,6,870},{2,5,446},{2,4,758},{2,4,670},{2,5,1638},{2,4,771},{2,4,515},{2,3,823},{0,5,1710},{1,3,598},{3,4,737},{2,5,325},{3,4,481},{2,4,549},{5,0,1517},
{1,5,458},{1,4,224},{1,3,534},{3,3,1517},{1,3,534},{2,5,445},{2,5,445},{2,5,445},{2,4,526},{2,4,459},{2,3,291},{2,3,291},{2,3,339},{0,4,370},{1,3,114},{3,3,272},{3,3,272},{3,3,272},{3,3,256},{2,4,338},{1,4,80},{1,4,80},{1,3,50},{7,0,338},{1,3,50},{5,1,425},{2,5,1},{3,4,225},{1,4,160},{5,1,425},{4,3,425},{1,4,160},
{0,3,533},{4,3,425},{0,3,533},{2,0,445},{2,0,445},{2,0,445},{2,0,445},{2,3,122},{2,3,122},{2,3,122},{2,2,185},{1,3,65},{1,3,65},{2,7,1130},{2,5,798},{2,4,1142},{2,4,702},{2,6,1571},{2,4,819},{2,4,51},{2,3,935},{0,5,1614},{1,3,950},{3,5,489},{3,5,269},{3,4,81},{3,4,249},{3,4,1514},{1,5,490},{2,4,42},{2,3,926},{7,1,1514},
{2,3,926},{2,6,710},{2,6,710},{2,6,710},{2,4,686},{2,5,397},{2,4,35},{2,4,35},{2,3,35},{1,4,509},{1,3,50},{3,4,65},{3,4,65},{3,4,65},{3,3,128},{3,3,340},{2,4,26},{2,4,26},{2,3,26},{6,1,340},{2,3,26},{6,0,425},{2,5,113},{3,4,17},{2,4,17},{6,0,425},{3,4,425},{2,4,17},{0,3,901},{3,4,425},{0,3,901},{2,0,685},
{2,0,685},{2,0,685},{2,0,685},{2,4,34},{2,4,34},{2,4,34},{2,3,34},{1,3,49},{1,3,49},{3,6,1286},{3,5,870},{3,4,906},{3,4,882},{2,6,1587},{2,5,546},{2,4,99},{2,4,1027},{1,5,1838},{1,4,702},{3,6,445},{3,5,29},{3,4,65},{3,4,41},{4,3,1514},{2,5,521},{2,4,74},{1,4,677},{6,2,1514},{1,4,677},{3,5,866},{3,5,866},{3,5,866},
{3,4,866},{2,5,381},{2,4,83},{2,4,83},{2,3,115},{0,5,349},{2,3,286},{3,5,25},{3,5,25},{3,5,25},{3,4,25},{4,2,340},{2,4,58},{2,4,58},{2,3,90},{5,2,340},{2,3,90},{4,4,421},{3,5,29},{3,4,65},{3,4,41},{4,4,421},{7,2,421},{3,4,41},{0,4,641},{7,2,421},{0,4,641},{3,0,841},{3,0,841},{3,0,841},{3,0,841},{2,4,34},
{2,4,34},{2,4,34},{2,3,34},{1,4,61},{1,4,61},{3,6,966},{3,5,614},{3,4,874},{3,4,658},{2,7,1686},{2,5,738},{2,4,659},{2,4,723},{0,6,1518},{1,4,446},{3,6,525},{3,5,173},{3,4,433},{3,4,217},{5,2,1517},{1,6,457},{3,4,274},{1,4,437},{5,3,1517},{1,4,437},{3,5,514},{3,5,514},{3,5,514},{3,4,514},{2,6,515},{2,5,209},{2,5,209},
{2,3,579},{1,5,510},{1,4,302},{3,5,73},{3,5,73},{3,5,73},{3,4,73},{5,1,346},{2,5,40},{2,5,40},{3,3,293},{7,1,346},{3,3,293},{5,3,421},{3,5,109},{4,4,180},{3,4,153},{5,3,421},{6,3,421},{3,4,153},{0,4,433},{6,3,421},{0,4,433},{3,0,505},{3,0,505},{3,0,505},{3,0,505},{2,5,173},{2,5,173},{2,5,173},{2,3,290},{1,4,13},
{1,4,13},{3,7,854},{3,6,438},{3,5,746},{3,5,702},{3,6,1658},{3,5,801},{3,5,609},{3,4,845},{1,6,1758},{2,4,590},{3,7,710},{3,6,294},{4,5,558},{3,5,558},{6,1,1514},{2,6,481},{2,5,227},{2,4,509},{4,4,1514},{2,4,509},{3,6,434},{3,6,434},{3,6,434},{3,5,533},{3,5,484},{3,4,292},{3,4,292},{3,4,404},{1,5,357},{2,4,149},{3,6,290},
{3,6,290},{3,6,290},{4,4,290},{6,0,340},{2,5,58},{2,5,58},{2,4,68},{3,4,340},{2,4,68},{6,2,421},{3,6,5},{4,5,269},{2,5,178},{6,2,421},{5,4,421},{2,5,178},{0,4,505},{5,4,421},{0,4,505},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{3,4,148},{3,4,148},{3,4,148},{3,3,193},{2,4,85},{2,4,85},{3,7,1206},{3,6,726},{3,5,1066},
{3,5,670},{3,7,1605},{3,5,785},{3,5,81},{3,4,893},{1,6,1598},{2,4,878},{4,6,502},{4,5,310},{4,5,110},{4,5,302},{7,0,1517},{2,6,465},{3,5,65},{2,4,877},{3,5,1517},{2,4,877},{3,7,677},{3,7,677},{3,7,677},{3,5,645},{3,6,426},{3,5,56},{3,5,56},{3,4,52},{2,5,542},{2,4,37},{4,5,85},{4,5,85},{4,5,85},{4,4,130},{5,2,346},
{3,5,40},{3,5,40},{2,4,36},{7,2,346},{2,4,36},{7,1,421},{3,6,85},{4,5,29},{3,5,29},{7,1,421},{4,5,421},{3,5,29},{0,4,841},{4,5,421},{0,4,841},{3,0,641},{3,0,641},{3,0,641},{3,0,641},{3,4,52},{3,4,52},{3,4,52},{3,4,52},{2,4,37},{2,4,37},{4,7,1362},{4,6,938},{4,5,946},{4,5,946},{3,7,1557},{3,6,558},{3,5,65},
{3,5,1101},{0,7,1662},{2,5,770},{4,7,462},{4,6,38},{4,5,46},{4,5,46},{5,4,1517},{3,6,542},{3,5,49},{1,5,721},{7,3,1517},{1,5,721},{4,5,937},{4,5,937},{4,5,937},{4,5,937},{3,6,362},{3,5,56},{3,5,56},{3,4,84},{1,6,350},{3,4,293},{4,5,37},{4,5,37},{4,5,37},{4,5,37},{6,1,346},{3,5,40},{3,5,40},{3,4,68},{6,3,346},
{3,4,68},{5,5,421},{4,6,37},{4,5,45},{3,5,45},{5,5,421},{3,6,421},{3,5,45},{0,5,685},{3,6,421},{0,5,685},{4,0,901},{4,0,901},{4,0,901},{4,0,901},{3,5,20},{3,5,20},{3,5,20},{3,4,20},{2,5,85},{2,5,85},{4,7,978},{4,6,618},{4,5,850},{4,5,658},{3,7,2021},{3,6,686},{3,5,561},{3,5,733},{1,7,1530},{2,5,450},{4,7,494},
{4,6,134},{4,5,366},{4,5,174},{6,3,1526},{2,7,446},{4,5,269},{2,5,446},{6,4,1526},{2,5,446},{4,6,537},{4,6,537},{4,6,537},{4,5,537},{3,7,500},{3,6,202},{3,6,202},{3,4,500},{1,6,510},{2,5,329},{4,6,53},{4,6,53},{4,6,53},{4,5,53},{7,0,340},{3,6,58},{3,6,58},{4,4,265},{3,5,340},{4,4,265},{6,4,421},{4,6,85},{5,5,170},
{4,5,125},{6,4,421},{7,4,421},{4,5,125},{0,5,445},{7,4,421},{0,5,445},{4,0,533},{4,0,533},{4,0,533},{4,0,533},{3,6,153},{3,6,153},{3,6,153},{3,4,244},{2,5,5},{2,5,5},{4,7,1158},{4,7,438},{4,6,742},{4,6,742},{4,7,1686},{4,6,839},{3,6,677},{4,5,875},{1,7,1710},{3,5,590},{5,6,769},{4,7,269},{4,6,573},{4,6,573},{7,2,1517},
{3,7,510},{3,6,236},{3,5,490},{5,5,1517},{3,5,490},{4,7,429},{4,7,429},{4,7,429},{4,5,546},{4,6,515},{4,5,299},{4,5,299},{4,5,475},{2,6,350},{3,5,190},{4,7,260},{4,7,260},{4,7,260},{5,5,328},{7,1,346},{3,6,40},{3,6,40},{3,5,90},{7,3,346},{3,5,90},{7,3,421},{4,7,13},{4,6,317},{3,6,200},{7,3,421},{6,5,421},{3,6,200},
{0,5,481},{6,5,421},{0,5,481},{4,0,425},{4,0,425},{4,0,425},{4,0,425},{4,5,178},{4,5,178},{4,5,178},{4,4,205},{3,5,109},{3,5,109},{4,7,1862},{4,7,662},{4,6,998},{4,6,646},{4,7,1686},{4,6,759},{4,6,119},{4,5,859},{2,7,1590},{3,5,814},{5,7,521},{5,6,305},{5,6,145},{5,6,361},{5,6,1526},{3,7,446},{4,6,94},{3,5,810},{4,6,1526},
{3,5,810},{4,7,637},{4,7,637},{4,7,637},{4,6,610},{4,6,435},{4,6,83},{4,6,83},{4,5,75},{1,7,565},{3,5,30},{5,6,109},{5,6,109},{5,6,109},{5,5,136},{6,3,340},{4,6,58},{4,6,58},{3,5,26},{6,4,340},{3,5,26},{5,7,421},{4,7,61},{5,6,45},{4,6,45},{5,7,421},{5,6,421},{4,6,45},{0,5,785},{5,6,421},{0,5,785},{4,0,601},
{4,0,601},{4,0,601},{4,0,601},{4,5,50},{4,5,50},{4,5,50},{4,5,74},{3,5,29},{3,5,29},{5,7,1498},{5,7,1014},{5,6,994},{5,6,1018},{4,7,2198},{4,7,578},{4,6,39},{4,6,1183},{2,7,1878},{3,6,846},{5,7,537},{5,7,53},{5,6,33},{5,6,57},{7,3,1526},{4,7,569},{4,6,30},{2,6,758},{6,5,1526},{2,6,758},{5,6,990},{5,6,990},{5,6,990},
{5,6,1014},{4,7,349},{4,6,35},{4,6,35},{4,5,59},{2,7,357},{3,5,254},{5,6,29},{5,6,29},{5,6,29},{5,6,53},{7,2,340},{4,6,26},{4,6,26},{4,5,50},{5,5,340},{4,5,50},{6,6,425},{5,7,49},{5,6,29},{4,6,29},{6,6,425},{4,7,425},{4,6,29},{0,6,733},{4,7,425},{0,6,733},{5,0,965},{5,0,965},{5,0,965},{5,0,965},{4,6,10},
{4,6,10},{4,6,10},{4,5,10},{3,6,113},{3,6,113},{5,7,1466},{5,7,630},{5,6,834},{5,6,666},{5,7,2055},{4,7,642},{4,6,471},{4,6,751},{3,7,1766},{3,6,462},{5,7,937},{5,7,101},{5,6,305},{5,6,137},{5,7,1526},{4,7,521},{5,6,270},{3,6,461},{5,6,1526},{3,6,461},{5,7,566},{5,7,566},{5,7,566},{5,6,566},{4,7,621},{4,7,201},{4,7,201},
{4,5,427},{2,7,469},{3,6,362},{5,7,37},{5,7,37},{5,7,37},{5,6,37},{5,6,338},{4,7,80},{4,7,80},{5,5,241},{4,6,338},{5,5,241},{7,5,425},{5,7,65},{6,6,164},{5,6,101},{7,5,425},{6,6,433},{5,6,101},{0,6,461},{6,6,433},{0,6,461},{5,0,565},{5,0,565},{5,0,565},{5,0,565},{4,7,137},{4,7,137},{4,7,137},{4,5,202},{3,6,1},
{3,6,1},{5,7,2042},{5,7,810},{5,7,746},{5,7,790},{5,7,2073},{5,7,885},{4,7,651},{4,6,877},{4,7,2102},{4,6,598},{6,7,794},{6,7,530},{5,7,550},{5,7,594},{6,6,1526},{5,7,689},{4,7,251},{4,6,477},{6,6,1526},{4,6,477},{5,7,521},{5,7,521},{5,7,521},{5,6,521},{5,7,552},{5,6,312},{5,6,312},{4,6,516},{3,7,349},{4,6,237},{5,7,325},
{5,7,325},{5,7,325},{5,6,325},{6,5,340},{4,7,26},{4,7,26},{4,6,116},{3,7,340},{4,6,116},{6,7,433},{6,7,169},{5,7,325},{4,7,226},{6,7,433},{7,6,425},{4,7,226},{0,6,461},{7,6,425},{0,6,461},{5,0,421},{5,0,421},{5,0,421},{5,0,421},{5,6,212},{5,6,212},{5,6,212},{5,5,221},{4,6,137},{4,6,137},{6,7,2362},{5,7,1514},{5,7,938},
{5,7,630},{5,7,2633},{5,7,741},{5,7,165},{5,6,833},{4,7,2070},{4,6,758},{6,7,762},{6,7,306},{6,7,186},{6,7,426},{7,5,1526},{5,7,705},{5,7,129},{4,6,749},{5,7,1541},{4,6,749},{5,7,889},{5,7,889},{5,7,889},{5,7,581},{5,7,424},{5,7,116},{5,7,116},{5,6,104},{3,7,525},{4,6,29},{6,7,137},{6,7,137},{6,7,137},{6,6,146},{7,4,338},
{5,7,80},{5,7,80},{4,6,20},{7,5,338},{4,6,20},{7,6,433},{6,7,185},{6,7,65},{5,7,65},{7,6,433},{6,7,425},{5,7,65},{0,6,733},{6,7,425},{0,6,733},{5,0,565},{5,0,565},{5,0,565},{5,0,565},{5,6,52},{5,6,52},{5,6,52},{5,6,100},{4,6,25},{4,6,25},{6,7,2073},{6,7,1449},{6,7,1049},{5,7,981},{6,7,2548},{5,7,1044},{5,7,20},
{5,6,1196},{5,7,2365},{4,7,929},{6,7,1049},{6,7,425},{6,7,25},{6,7,73},{7,6,1492},{6,7,948},{5,7,16},{3,7,800},{7,6,1460},{3,7,800},{6,7,1049},{6,7,1049},{6,7,1049},{5,7,981},{5,7,680},{5,7,20},{5,7,20},{5,6,40},{4,7,434},{4,6,205},{6,7,25},{6,7,25},{6,7,25},{6,7,73},{7,5,370},{5,7,16},{5,7,16},{5,6,36},{6,6,338},
{5,6,36},{7,7,410},{7,7,338},{6,7,16},{5,7,16},{7,7,410},{6,7,464},{5,7,16},{0,7,784},{6,7,464},{0,7,784},{5,0,965},{5,0,965},{5,0,965},{5,0,965},{5,7,4},{5,7,4},{5,7,4},{5,6,4},{4,7,145},{4,7,145},{6,7,1769},{6,7,1145},{6,7,745},{6,7,601},{6,7,1940},{6,7,1172},{5,7,308},{5,7,696},{5,7,1805},{4,7,401},{7,7,1043},
{6,7,569},{6,7,169},{6,7,25},{7,6,1076},{6,7,596},{6,7,196},{4,7,401},{6,7,1076},{4,7,401},{6,7,745},{6,7,745},{6,7,745},{6,7,601},{6,7,916},{5,7,308},{5,7,308},{5,6,360},{4,7,626},{5,6,341},{6,7,169},{6,7,169},{6,7,169},{6,7,25},{6,7,340},{6,7,196},{6,7,196},{6,6,221},{5,7,340},{6,6,221},{7,7,202},{7,7,130},{7,7,81},
{6,7,0},{7,7,202},{7,7,218},{6,7,0},{0,7,400},{7,7,218},{0,7,400},{6,0,601},{6,0,601},{6,0,601},{6,0,601},{5,7,164},{5,7,164},{5,7,164},{5,6,164},{4,7,1},{4,7,1},{6,7,1886},{6,7,1262},{6,7,862},{6,7,502},{6,7,1715},{6,7,731},{6,7,331},{5,7,507},{5,7,1634},{4,7,266},{7,7,521},{7,7,449},{7,7,400},{6,7,277},{7,7,797},
{6,7,506},{6,7,106},{5,7,146},{6,7,770},{5,7,146},{6,7,862},{6,7,862},{6,7,862},{6,7,502},{6,7,691},{6,7,331},{6,7,331},{5,7,507},{5,7,610},{4,7,266},{7,7,400},{7,7,400},{7,7,400},{6,7,277},{7,6,338},{6,7,106},{6,7,106},{5,7,146},{7,6,370},{5,7,146},{7,7,121},{7,7,49},{7,7,0},{7,7,16},{7,7,121},{7,7,65},{7,7,16},
{0,7,121},{7,7,65},{0,7,121},{6,0,421},{6,0,421},{6,0,421},{6,0,421},{6,7,250},{6,7,250},{6,7,250},{6,6,241},{4,7,145},{4,7,145},{7,7,2010},{6,7,1774},{6,7,1374},{6,7,822},{6,7,1923},{6,7,747},{6,7,347},{6,7,139},{6,7,1446},{5,7,34},{7,7,329},{7,7,257},{7,7,208},{7,7,160},{7,7,509},{7,7,389},{6,7,298},{5,7,18},{7,7,549},
{5,7,18},{6,7,1374},{6,7,1374},{6,7,1374},{6,7,822},{6,7,899},{6,7,347},{6,7,347},{6,7,139},{5,7,866},{5,7,34},{7,7,208},{7,7,208},{7,7,208},{7,7,160},{7,7,388},{6,7,298},{6,7,298},{5,7,18},{6,7,370},{5,7,18},{7,7,185},{7,7,113},{7,7,64},{7,7,16},{7,7,185},{7,7,65},{7,7,16},{0,7,9},{7,7,65},{0,7,9},{6,0,533},
{6,0,533},{6,0,533},{6,0,533},{6,7,58},{6,7,58},{6,7,58},{6,7,130},{5,7,25},{5,7,25},{7,7,1347},{7,7,1275},{7,7,1226},{7,7,1154},{7,7,1431},{6,7,922},{6,7,522},{6,7,2},{6,7,1125},{5,7,137},{7,7,258},{7,7,186},{7,7,137},{7,7,65},{7,7,342},{7,7,198},{7,7,149},{6,7,1},{7,7,294},{6,7,1},{7,7,1226},{7,7,1226},{7,7,1226},
{7,7,1154},{6,7,1146},{6,7,522},{6,7,522},{6,7,2},{6,7,725},{5,7,137},{7,7,137},{7,7,137},{7,7,137},{7,7,65},{7,7,221},{7,7,149},{7,7,149},{6,7,1},{7,7,245},{6,7,1},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,901},{6,0,901},{6,0,901},{6,0,901},{6,7,122},
{6,7,122},{6,7,122},{6,7,2},{5,7,137},{5,7,137},{7,7,883},{7,7,811},{7,7,762},{7,7,690},{7,7,871},{7,7,727},{7,7,678},{6,7,130},{6,7,949},{6,7,149},{7,7,258},{7,7,186},{7,7,137},{7,7,65},{7,7,246},{7,7,102},{7,7,53},{7,7,36},{7,7,134},{7,7,36},{7,7,762},{7,7,762},{7,7,762},{7,7,690},{7,7,750},{7,7,678},{7,7,678},
{6,7,130},{6,7,549},{6,7,149},{7,7,137},{7,7,137},{7,7,137},{7,7,65},{7,7,125},{7,7,53},{7,7,53},{7,7,36},{7,7,85},{7,7,36},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,641},{7,0,641},{7,0,641},{7,0,641},{6,7,442},{6,7,442},{6,7,442},{6,7,130},{6,7,149},
{6,7,149},{0,3,932},{0,2,218},{0,1,82},{0,1,250},{0,2,1971},{0,1,1371},{0,1,611},{0,0,1950},{0,1,2332},{0,0,1986},{0,3,932},{0,2,218},{0,1,82},{0,1,250},{1,0,1899},{0,1,1371},{0,1,611},{0,0,1950},{1,0,1923},{0,0,1950},{0,1,1},{0,1,1},{0,1,1},{0,0,64},{0,0,180},{0,0,100},{0,0,100},{0,0,101},{0,0,200},{0,0,137},{0,1,1},
{0,1,1},{0,1,1},{0,0,64},{0,0,180},{0,0,100},{0,0,100},{0,0,101},{0,0,164},{0,0,101},{1,1,884},{0,2,218},{0,1,82},{0,1,250},{1,1,884},{2,0,900},{0,1,250},{0,1,1170},{2,0,900},{0,1,1170},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,3,900},{0,2,250},{0,2,314},
{0,1,314},{0,2,2355},{0,1,1755},{0,1,675},{0,1,1875},{0,1,2716},{0,1,2236},{0,3,900},{0,2,250},{0,2,314},{0,1,314},{0,2,2355},{0,1,1755},{0,1,675},{0,1,1875},{0,1,2355},{0,1,1875},{0,2,25},{0,2,25},{0,2,25},{0,1,25},{0,1,410},{0,0,292},{0,0,292},{0,0,181},{0,0,392},{0,0,217},{0,2,25},{0,2,25},{0,2,25},{0,1,25},{0,1,410},
{0,0,292},{0,0,292},{0,0,181},{0,0,356},{0,0,181},{2,0,884},{0,2,250},{0,2,314},{0,1,314},{2,0,884},{3,0,884},{0,1,314},{0,1,914},{3,0,884},{0,1,914},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,4,890},{0,3,104},{0,2,90},{0,2,442},{0,2,2995},{0,2,1851},{0,1,995},
{0,1,1875},{0,1,3356},{0,1,2236},{0,4,890},{0,3,104},{0,2,90},{0,2,442},{1,1,2932},{0,2,1851},{0,1,995},{0,1,1875},{2,0,2900},{0,1,1875},{0,2,9},{0,2,9},{0,2,9},{0,1,9},{0,1,586},{0,1,370},{0,1,370},{0,0,389},{0,0,712},{0,0,425},{0,2,9},{0,2,9},{0,2,9},{0,1,9},{0,1,586},{0,1,370},{0,1,370},{0,0,389},{1,0,650},
{0,0,389},{1,2,890},{0,3,104},{0,2,90},{0,2,442},{1,2,890},{2,1,890},{0,2,442},{0,1,914},{2,1,890},{0,1,914},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,4,990},{0,3,140},{0,2,158},{0,2,158},{0,3,3048},{0,2,1707},{0,2,747},{0,1,1795},{0,1,3916},{0,1,2156},{0,4,990},
{0,3,140},{0,2,158},{0,2,158},{0,3,3048},{0,2,1707},{0,2,747},{0,1,1795},{1,1,3048},{0,1,1795},{0,3,40},{0,3,40},{0,3,40},{0,1,157},{0,1,698},{0,1,290},{0,1,290},{0,0,641},{0,0,1076},{0,0,677},{0,3,40},{0,3,40},{0,3,40},{0,1,157},{1,0,666},{0,1,290},{0,1,290},{0,0,641},{1,0,650},{0,0,641},{2,1,890},{0,3,104},{0,2,122},
{0,2,122},{2,1,890},{4,0,890},{0,2,122},{0,1,1170},{4,0,890},{0,1,1170},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,0,0},{0,0,0},{0,0,0},{0,0,16},{0,0,52},{0,0,52},{0,5,1115},{0,4,265},{0,2,689},{0,2,293},{0,4,3096},{0,3,1731},{0,2,324},{0,1,2020},{0,2,4009},{0,1,2381},{0,5,1115},{0,4,265},{1,2,429},{0,2,293},{1,2,3048},
{0,3,1731},{0,2,324},{0,1,2020},{0,2,3048},{0,1,2020},{0,4,261},{0,4,261},{0,4,261},{0,2,229},{0,2,656},{0,2,260},{0,2,260},{0,1,256},{0,1,1017},{0,1,617},{0,4,261},{0,4,261},{0,4,261},{0,2,229},{0,2,656},{0,2,260},{0,2,260},{0,1,256},{0,1,656},{0,1,256},{3,0,890},{0,4,40},{1,2,68},{0,2,68},{3,0,890},{5,0,890},{0,2,68},
{0,2,1220},{5,0,890},{0,2,1220},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,1,16},{0,1,16},{0,1,16},{0,0,25},{0,0,61},{0,0,61},{0,6,1419},{0,4,569},{0,3,1078},{0,2,821},{0,4,3096},{0,3,1395},{0,2,356},{0,2,1832},{0,2,4201},{0,2,2793},{1,4,1011},{1,3,353},{1,2,413},{1,2,413},{2,1,3048},{0,3,1395},{0,2,356},{0,2,1832},{4,0,3048},
{0,2,1832},{0,4,533},{0,4,533},{0,4,533},{0,2,565},{0,3,666},{0,2,100},{0,2,100},{0,1,128},{0,1,1209},{0,1,489},{1,2,157},{1,2,157},{1,2,157},{1,2,157},{1,1,650},{0,2,100},{0,2,100},{0,1,128},{1,1,666},{0,1,128},{3,1,890},{0,4,40},{1,2,292},{0,2,292},{3,1,890},{4,1,890},{0,2,292},{0,2,932},{4,1,890},{0,2,932},{0,0,529},
{0,0,529},{0,0,529},{0,0,529},{0,1,16},{0,1,16},{0,1,16},{0,1,64},{0,0,205},{0,0,205},{0,6,1915},{0,5,1019},{1,3,1269},{0,3,1110},{0,5,3051},{0,3,1443},{0,3,318},{0,2,1384},{0,2,4777},{0,2,2345},{1,5,909},{1,4,131},{1,3,113},{1,3,509},{3,0,3051},{0,3,1443},{0,3,318},{0,2,1384},{3,1,3051},{0,2,1384},{0,5,970},{0,5,970},{0,5,970},
{0,3,1010},{0,3,698},{0,2,196},{0,2,196},{0,1,256},{0,2,1641},{0,1,617},{1,3,13},{1,3,13},{1,3,13},{1,2,13},{2,0,650},{0,2,196},{0,2,196},{0,1,256},{3,0,650},{0,1,256},{2,3,884},{0,5,58},{1,3,104},{0,3,149},{2,3,884},{6,0,884},{0,3,149},{0,2,900},{6,0,884},{0,2,900},{0,0,961},{0,0,961},{0,0,961},{0,0,961},{0,2,0},
{0,2,0},{0,2,0},{0,1,0},{0,1,361},{0,1,361},{1,5,2113},{1,4,1271},{1,3,1285},{1,3,1329},{0,6,3123},{0,4,1208},{0,3,30},{0,2,1320},{0,3,5011},{0,2,2281},{1,5,957},{1,4,115},{1,3,129},{1,3,173},{1,4,3051},{0,4,1208},{0,3,30},{0,2,1320},{2,2,3051},{0,2,1320},{1,4,1190},{1,4,1190},{1,4,1190},{1,2,1281},{0,4,648},{0,3,26},{0,3,26},
{0,2,296},{0,2,1641},{0,1,1001},{1,4,34},{1,4,34},{1,4,34},{1,2,125},{0,4,648},{0,3,26},{0,3,26},{0,2,296},{2,1,648},{0,2,296},{3,2,884},{0,5,26},{1,3,104},{0,3,5},{3,2,884},{5,1,884},{0,3,5},{0,2,1124},{5,1,884},{0,2,1124},{1,0,1181},{1,0,1181},{1,0,1181},{1,0,1181},{0,3,25},{0,3,25},{0,3,25},{0,1,64},{0,1,425},
{0,1,425},{1,6,1864},{1,5,1038},{1,3,1390},{1,3,1038},{0,6,3132},{0,4,1199},{0,3,201},{0,2,1743},{0,3,4924},{0,2,2332},{1,6,1080},{1,5,254},{2,3,458},{1,3,254},{2,3,3051},{0,4,1163},{0,3,165},{0,2,1707},{6,0,3051},{0,2,1707},{1,4,1016},{1,4,1016},{1,4,1016},{1,3,989},{0,5,716},{0,3,152},{0,3,152},{0,2,62},{0,2,1611},{0,2,651},{1,4,232},
{1,4,232},{1,4,232},{1,3,205},{1,3,650},{0,3,116},{0,3,116},{0,2,26},{1,2,650},{0,2,26},{4,1,884},{1,5,58},{2,3,58},{1,3,58},{4,1,884},{4,2,884},{1,3,58},{0,3,1274},{4,2,884},{0,3,1274},{1,0,980},{1,0,980},{1,0,980},{1,0,980},{0,3,52},{0,3,52},{0,3,52},{0,2,61},{0,1,458},{0,1,458},{1,7,1784},{1,5,910},{1,4,1441},
{1,3,1134},{0,7,3247},{0,5,1292},{0,4,567},{0,3,1474},{0,4,4900},{0,3,2178},{2,5,1028},{2,4,362},{2,3,394},{2,3,418},{3,2,3051},{0,5,1096},{1,3,331},{0,3,1278},{5,1,3051},{0,3,1278},{1,5,885},{1,5,885},{1,5,885},{1,3,909},{0,5,876},{0,4,206},{0,4,206},{0,2,254},{0,3,1548},{0,2,347},{2,3,169},{2,3,169},{2,3,169},{2,3,193},{2,2,648},
{0,4,10},{0,4,10},{0,2,58},{5,0,648},{0,2,58},{5,0,884},{1,5,26},{2,3,250},{1,3,250},{5,0,884},{3,3,884},{1,3,250},{0,3,954},{3,3,884},{0,3,954},{1,0,884},{1,0,884},{1,0,884},{1,0,884},{0,4,197},{0,4,197},{0,4,197},{0,2,205},{0,2,298},{0,2,298},{1,7,1976},{1,6,1124},{1,4,1649},{1,4,1229},{1,6,3204},{0,5,1452},{1,4,525},
{0,3,1474},{0,4,4420},{0,3,1474},{2,6,930},{2,5,160},{2,4,138},{2,3,546},{4,1,3060},{0,5,968},{0,4,195},{0,3,990},{4,2,3060},{0,3,990},{1,6,1060},{1,6,1060},{1,6,1060},{1,4,1108},{1,4,824},{1,3,314},{1,3,314},{1,2,370},{0,3,1260},{0,2,427},{2,4,17},{2,4,17},{2,4,17},{2,3,17},{3,1,648},{0,4,74},{0,4,74},{1,2,226},{4,1,648},
{1,2,226},{3,4,882},{1,6,80},{2,4,122},{0,4,146},{3,4,882},{7,1,882},{0,4,146},{0,3,890},{7,1,882},{0,3,890},{1,0,1044},{1,0,1044},{1,0,1044},{1,0,1044},{1,3,145},{1,3,145},{1,3,145},{1,2,145},{0,2,202},{0,2,202},{2,6,2374},{1,6,1476},{2,4,1550},{1,4,1469},{1,6,3172},{1,5,1259},{1,4,61},{1,3,1323},{0,4,4452},{0,3,1282},{2,6,930},
{2,5,96},{2,4,106},{2,4,194},{5,0,3060},{0,6,1144},{1,4,45},{0,3,1086},{6,1,3060},{0,3,1086},{2,5,1476},{2,5,1476},{2,5,1476},{1,4,1460},{1,5,666},{1,4,52},{1,4,52},{1,3,362},{0,3,1356},{0,3,321},{2,5,32},{2,5,32},{2,5,32},{2,3,97},{4,0,650},{1,4,36},{1,4,36},{0,3,125},{3,2,650},{0,3,125},{4,3,882},{1,6,16},{2,4,90},
{1,4,9},{4,3,882},{6,2,882},{1,4,9},{0,3,1082},{6,2,882},{0,3,1082},{1,0,1460},{1,0,1460},{1,0,1460},{1,0,1460},{1,4,52},{1,4,52},{1,4,52},{1,2,65},{0,3,200},{0,3,200},{2,7,1892},{2,6,1090},{2,4,1370},{2,4,1062},{1,7,3100},{1,5,1169},{1,4,151},{1,3,1665},{0,5,4036},{0,3,1678},{2,7,1051},{2,6,249},{3,4,493},{2,4,221},{3,4,3060},
{0,6,883},{1,4,126},{0,4,1528},{7,1,3060},{0,4,1528},{2,5,1035},{2,5,1035},{2,5,1035},{2,4,1026},{1,6,723},{1,4,115},{1,4,115},{1,3,65},{0,4,1004},{0,3,78},{2,5,194},{2,5,194},{2,5,194},{2,4,185},{2,4,648},{1,4,90},{1,4,90},{1,3,40},{7,0,648},{1,3,40},{5,2,882},{2,6,80},{3,4,52},{2,4,52},{5,2,882},{5,3,882},{2,4,52},
{0,4,1332},{5,3,882},{0,4,1332},{2,0,1010},{2,0,1010},{2,0,1010},{2,0,1010},{1,4,34},{1,4,34},{1,4,34},{1,3,61},{0,3,74},{0,3,74},{2,7,1892},{2,6,898},{2,5,1451},{2,4,1094},{2,6,3501},{1,6,1308},{1,5,589},{1,4,1510},{0,5,3940},{0,4,1116},{3,6,1051},{3,5,377},{3,4,381},{3,4,429},{5,1,3060},{0,6,1059},{2,4,312},{0,4,1016},{6,2,3060},
{0,4,1016},{2,6,882},{2,6,882},{2,6,882},{2,4,898},{1,6,835},{1,5,189},{1,5,189},{1,3,209},{0,4,1036},{0,3,270},{3,4,185},{3,4,185},{3,4,185},{3,4,233},{3,3,650},{1,5,20},{1,5,20},{1,3,40},{6,1,650},{1,3,40},{6,1,882},{2,6,16},{3,4,212},{2,4,212},{6,1,882},{4,4,882},{2,4,212},{0,4,980},{4,4,882},{0,4,980},{2,0,882},
{2,0,882},{2,0,882},{2,0,882},{1,5,173},{1,5,173},{1,5,173},{1,3,173},{0,4,136},{0,4,136},{2,7,2404},{2,7,1116},{2,5,1595},{2,5,1235},{2,7,3244},{1,6,1404},{2,5,619},{1,4,1446},{0,6,3804},{0,4,892},{3,7,957},{3,6,195},{3,5,169},{3,4,509},{6,0,3060},{0,7,936},{1,5,196},{0,4,888},{3,4,3060},{0,4,888},{2,7,1035},{2,7,1035},{2,7,1035},
{2,5,1091},{2,5,835},{2,4,317},{2,4,317},{2,3,369},{0,5,875},{1,3,396},{3,5,25},{3,5,25},{3,5,25},{3,4,25},{4,2,650},{1,5,52},{1,5,52},{2,3,200},{5,2,650},{2,3,200},{7,0,884},{2,7,106},{3,5,144},{1,5,160},{7,0,884},{3,5,884},{1,5,160},{0,4,884},{3,5,884},{0,4,884},{2,0,1010},{2,0,1010},{2,0,1010},{2,0,1010},{2,4,173},
{2,4,173},{2,4,173},{2,3,173},{0,4,8},{0,4,8},{3,7,2430},{2,7,1404},{3,5,1610},{2,5,1411},{2,7,3148},{2,6,1309},{2,5,91},{2,4,1325},{0,6,3484},{0,4,1180},{3,7,909},{3,6,83},{3,5,89},{3,5,221},{4,4,3051},{0,7,1000},{2,5,66},{1,4,1053},{7,2,3051},{1,4,1053},{2,7,1403},{2,7,1403},{2,7,1403},{2,5,1395},{2,6,681},{2,5,75},{2,5,75},
{2,4,425},{0,5,795},{0,4,280},{3,6,34},{3,6,34},{3,6,34},{3,4,73},{5,1,656},{2,5,50},{2,5,50},{1,4,153},{7,1,656},{1,4,153},{5,4,884},{2,7,10},{3,5,80},{2,5,17},{5,4,884},{7,3,884},{2,5,17},{0,4,1044},{7,3,884},{0,4,1044},{2,0,1394},{2,0,1394},{2,0,1394},{2,0,1394},{2,4,61},{2,4,61},{2,4,61},{2,3,61},{0,4,136},
{0,4,136},{3,7,2214},{3,7,1150},{3,5,1358},{3,5,1094},{2,7,3652},{2,6,1147},{2,5,109},{2,4,1595},{0,7,3724},{0,5,1402},{3,7,1314},{3,7,250},{3,5,458},{3,5,194},{5,3,3060},{1,7,888},{2,5,93},{0,5,1398},{6,3,3060},{0,5,1398},{3,6,1060},{3,6,1060},{3,6,1060},{3,5,1069},{2,7,736},{2,5,84},{2,5,84},{2,4,74},{0,6,820},{1,4,81},{3,6,160},
{3,6,160},{3,6,160},{3,5,169},{6,0,650},{2,5,68},{2,5,68},{1,4,45},{3,4,650},{1,4,45},{6,3,884},{3,7,106},{4,5,50},{3,5,50},{6,3,884},{6,4,884},{3,5,50},{0,5,1394},{6,4,884},{0,5,1394},{3,0,1044},{3,0,1044},{3,0,1044},{3,0,1044},{2,5,20},{2,5,20},{2,5,20},{2,4,65},{0,5,8},{0,5,8},{3,7,2566},{3,7,894},{3,6,1469},
{3,5,1062},{3,7,3535},{2,7,1332},{2,6,619},{2,5,1554},{0,7,3276},{0,5,1146},{4,7,1080},{4,6,398},{4,5,374},{4,5,446},{6,2,3051},{1,7,1016},{3,5,299},{0,5,1046},{5,4,3051},{0,5,1046},{3,7,885},{3,7,885},{3,7,885},{3,5,893},{2,7,800},{2,6,178},{2,6,178},{2,4,170},{0,6,660},{1,4,225},{4,5,205},{4,5,205},{4,5,205},{4,5,277},{5,2,656},
{2,6,34},{2,6,34},{2,4,26},{7,2,656},{2,4,26},{7,2,884},{3,7,10},{4,5,178},{3,5,178},{7,2,884},{5,5,884},{3,5,178},{0,5,1010},{5,5,884},{0,5,1010},{3,0,884},{3,0,884},{3,0,884},{3,0,884},{2,6,153},{2,6,153},{2,6,153},{2,4,145},{0,5,136},{0,5,136},{4,7,3320},{3,7,1150},{3,6,1549},{3,6,1249},{3,7,3487},{2,7,1364},{2,6,603},
{2,5,1426},{0,7,3340},{1,5,892},{4,7,1016},{4,7,236},{4,6,206},{4,5,478},{7,1,3051},{2,7,964},{2,6,203},{1,5,883},{4,5,3051},{1,5,883},{3,7,1029},{3,7,1029},{3,7,1029},{3,6,1080},{3,6,852},{3,5,326},{3,5,326},{3,4,374},{0,6,884},{2,4,371},{4,6,37},{4,6,37},{4,6,37},{4,5,37},{6,1,656},{2,6,34},{2,6,34},{3,4,178},{6,3,656},
{3,4,178},{5,6,890},{3,7,170},{4,6,170},{2,6,178},{5,6,890},{4,6,890},{2,6,178},{0,5,882},{4,6,890},{0,5,882},{3,0,980},{3,0,980},{3,0,980},{3,0,980},{3,5,205},{3,5,205},{3,5,205},{3,4,205},{1,5,10},{1,5,10},{4,7,2936},{4,7,1676},{4,6,1678},{3,6,1361},{3,7,3951},{3,7,1367},{3,6,129},{3,5,1335},{1,7,3496},{1,5,1116},{4,7,1336},
{4,7,76},{4,6,78},{4,6,254},{5,5,3048},{2,7,1124},{3,6,93},{2,5,1026},{3,6,3048},{2,5,1026},{3,7,1557},{3,7,1557},{3,7,1557},{3,6,1336},{3,7,702},{3,6,104},{3,6,104},{3,5,494},{0,7,667},{1,5,275},{4,7,40},{4,7,40},{4,7,40},{4,5,53},{7,0,650},{3,6,68},{3,6,68},{2,5,185},{3,5,650},{2,5,185},{7,3,890},{4,7,72},{4,6,74},
{3,6,29},{7,3,890},{6,5,890},{3,6,29},{0,5,1010},{6,5,890},{0,5,1010},{3,0,1332},{3,0,1332},{3,0,1332},{3,0,1332},{3,5,61},{3,5,61},{3,5,61},{3,4,61},{1,5,106},{1,5,106},{4,7,3116},{4,7,1316},{4,6,1354},{4,6,1134},{4,7,4084},{3,7,1133},{3,6,75},{3,5,1533},{1,7,3676},{1,6,1470},{5,7,1429},{4,7,355},{4,6,393},{4,6,173},{6,4,3051},
{3,7,1124},{3,6,66},{1,6,1469},{7,4,3051},{1,6,1469},{4,7,1091},{4,7,1091},{4,7,1091},{4,6,1118},{3,7,729},{3,6,59},{3,6,59},{3,5,89},{0,7,820},{2,5,90},{4,7,130},{4,7,130},{4,7,130},{4,6,157},{7,1,656},{3,6,50},{3,6,50},{2,5,41},{7,3,656},{2,5,41},{7,4,890},{4,7,234},{5,6,52},{4,6,52},{7,4,890},{7,5,890},{4,6,52},
{0,5,1460},{7,5,890},{0,5,1460},{4,0,1082},{4,0,1082},{4,0,1082},{4,0,1082},{3,6,10},{3,6,10},{3,6,10},{3,5,73},{1,6,10},{1,6,10},{4,7,3820},{4,7,1540},{4,7,1495},{4,6,1038},{4,7,4084},{3,7,1469},{3,6,571},{3,6,1606},{2,7,3916},{1,6,1150},{5,7,1349},{5,7,425},{5,6,373},{5,6,469},{7,3,3048},{3,7,1348},{4,6,292},{1,6,1069},{6,5,3048},
{1,6,1069},{4,7,1011},{4,7,1011},{4,7,1011},{4,6,894},{3,7,1161},{3,7,173},{3,7,173},{3,5,137},{1,7,659},{2,5,186},{5,6,229},{5,6,229},{5,6,229},{5,6,325},{6,3,650},{3,7,52},{3,7,52},{3,5,16},{6,4,650},{3,5,16},{6,6,890},{5,7,200},{5,6,148},{4,6,148},{6,6,890},{6,6,890},{4,6,148},{0,6,1044},{6,6,890},{0,6,1044},{4,0,890},
{4,0,890},{4,0,890},{4,0,890},{3,7,137},{3,7,137},{3,7,137},{3,5,121},{1,6,106},{1,6,106},{5,7,4054},{4,7,2276},{4,7,1511},{4,7,1271},{4,7,4596},{4,7,1596},{3,7,577},{3,6,1414},{2,7,4204},{2,6,900},{5,7,1653},{5,7,377},{5,7,249},{5,6,453},{5,7,3048},{4,7,1371},{3,7,216},{2,6,884},{5,6,3048},{2,6,884},{4,7,1315},{4,7,1315},{4,7,1315},
{4,6,1054},{4,7,875},{4,6,341},{4,6,341},{4,5,385},{1,7,835},{3,5,352},{5,7,53},{5,7,53},{5,7,53},{5,6,53},{7,2,650},{3,7,20},{3,7,20},{4,5,160},{5,5,650},{4,5,160},{7,5,890},{5,7,328},{5,7,200},{3,7,200},{7,5,890},{5,7,900},{3,7,200},{0,6,884},{5,7,900},{0,6,884},{4,0,954},{4,0,954},{4,0,954},{4,0,954},{4,6,241},
{4,6,241},{4,6,241},{4,5,241},{2,6,16},{2,6,16},{5,7,4022},{5,7,2394},{5,7,1754},{4,7,1319},{5,7,4921},{4,7,1660},{4,7,175},{4,6,1353},{3,7,4380},{2,6,1060},{6,7,2021},{5,7,713},{5,7,73},{5,7,293},{6,6,3051},{4,7,1611},{4,7,126},{3,6,1005},{4,7,3051},{3,6,1005},{5,7,1718},{5,7,1718},{5,7,1718},{4,7,1283},{4,7,859},{4,7,139},{4,7,139},
{4,5,465},{2,7,779},{2,6,276},{5,7,37},{5,7,37},{5,7,37},{5,6,37},{5,6,648},{4,7,90},{4,7,90},{3,6,221},{4,6,648},{3,6,221},{7,6,900},{6,7,452},{5,7,72},{4,7,45},{7,6,900},{7,6,884},{4,7,45},{0,6,980},{7,6,884},{0,6,980},{4,0,1274},{4,0,1274},{4,0,1274},{4,0,1274},{4,6,65},{4,6,65},{4,6,65},{4,5,65},{2,6,80},
{2,6,80},{5,7,4265},{5,7,2373},{5,7,1349},{5,7,1173},{5,7,4606},{4,7,2065},{4,7,40},{4,6,1266},{3,7,4455},{3,6,1261},{6,7,1649},{6,7,1025},{5,7,325},{5,7,149},{7,5,2817},{5,7,1514},{4,7,36},{3,6,1197},{6,6,2841},{3,6,1197},{5,7,1349},{5,7,1349},{5,7,1349},{5,7,1173},{4,7,1300},{4,7,40},{4,7,40},{4,6,110},{2,7,1040},{3,6,105},{5,7,325},
{5,7,325},{5,7,325},{5,7,149},{6,5,650},{4,7,36},{4,7,36},{3,6,41},{3,7,650},{3,6,41},{7,6,801},{6,7,449},{6,7,49},{4,7,36},{7,6,801},{6,7,761},{4,7,36},{0,6,1181},{6,7,761},{0,6,1181},{5,0,1124},{5,0,1124},{5,0,1124},{5,0,1124},{4,7,4},{4,7,4},{4,7,4},{4,6,85},{2,7,16},{2,7,16},{5,7,4345},{5,7,2453},{5,7,1429},
{5,7,901},{5,7,4190},{5,7,1770},{4,7,360},{4,6,1266},{4,7,3861},{2,7,1041},{6,7,1281},{6,7,657},{6,7,257},{5,7,325},{6,7,2250},{5,7,1194},{5,7,170},{2,7,977},{5,7,2250},{2,7,977},{5,7,1429},{5,7,1429},{5,7,1429},{5,7,901},{5,7,1274},{4,7,360},{4,7,360},{4,6,110},{3,7,979},{3,6,153},{6,7,257},{6,7,257},{6,7,257},{5,7,325},{7,4,648},
{5,7,170},{5,7,170},{4,6,10},{7,5,648},{4,6,10},{7,7,521},{6,7,401},{6,7,1},{5,7,1},{7,7,521},{6,7,521},{5,7,1},{0,7,961},{6,7,521},{0,7,961},{5,0,900},{5,0,900},{5,0,900},{5,0,900},{4,7,164},{4,7,164},{4,7,164},{4,6,101},{2,7,80},{2,7,80},{6,7,3669},{5,7,2917},{5,7,1893},{5,7,1013},{5,7,4158},{5,7,1386},{5,7,362},
{4,7,1049},{4,7,3381},{3,7,555},{6,7,1169},{6,7,545},{6,7,145},{6,7,73},{7,6,1802},{5,7,1130},{5,7,106},{3,7,530},{7,6,1770},{3,7,530},{5,7,1893},{5,7,1893},{5,7,1893},{5,7,1013},{5,7,1242},{5,7,362},{5,7,362},{5,6,402},{3,7,1251},{4,6,339},{6,7,145},{6,7,145},{6,7,145},{6,7,73},{7,5,680},{5,7,106},{5,7,106},{5,6,146},{6,6,648},
{5,6,146},{7,7,265},{7,7,193},{6,7,81},{6,7,9},{7,7,265},{7,7,305},{6,7,9},{0,7,529},{7,7,305},{0,7,529},{5,0,932},{5,0,932},{5,0,932},{5,0,932},{5,7,281},{5,7,281},{5,7,281},{5,6,281},{3,7,26},{3,7,26},{6,7,3077},{6,7,2453},{6,7,2053},{5,7,1509},{6,7,3438},{5,7,1386},{5,7,362},{5,7,650},{5,7,3195},{3,7,283},{7,7,1293},
{6,7,689},{6,7,289},{6,7,25},{7,6,1386},{6,7,786},{5,7,298},{4,7,261},{6,7,1386},{4,7,261},{6,7,2053},{6,7,2053},{6,7,2053},{5,7,1509},{5,7,1594},{5,7,362},{5,7,362},{5,6,434},{4,7,1260},{3,7,283},{6,7,289},{6,7,289},{6,7,289},{6,7,25},{6,7,650},{5,7,298},{5,7,298},{4,7,261},{5,7,650},{4,7,261},{7,7,137},{7,7,65},{7,7,16},
{6,7,25},{7,7,137},{7,7,113},{6,7,25},{0,7,225},{7,7,113},{0,7,225},{5,0,1220},{5,0,1220},{5,0,1220},{5,0,1220},{5,7,73},{5,7,73},{5,7,73},{5,6,73},{3,7,58},{3,7,58},{6,7,2870},{6,7,2246},{6,7,1846},{6,7,1366},{6,7,2889},{6,7,1785},{5,7,821},{5,7,137},{5,7,2700},{4,7,126},{7,7,771},{7,7,699},{7,7,650},{6,7,277},{7,7,1107},
{6,7,696},{6,7,296},{4,7,45},{6,7,1080},{4,7,45},{6,7,1846},{6,7,1846},{6,7,1846},{6,7,1366},{6,7,1865},{5,7,821},{5,7,821},{5,7,137},{4,7,1611},{4,7,126},{7,7,650},{7,7,650},{7,7,650},{6,7,277},{7,6,648},{6,7,296},{6,7,296},{4,7,45},{7,6,680},{4,7,45},{7,7,146},{7,7,74},{7,7,25},{7,7,1},{7,7,146},{7,7,50},{7,7,1},
{0,7,36},{7,7,50},{0,7,36},{6,0,1170},{6,0,1170},{6,0,1170},{6,0,1170},{5,7,145},{5,7,145},{5,7,145},{5,7,101},{4,7,90},{4,7,90},{6,7,2962},{6,7,2338},{6,7,1938},{6,7,1314},{6,7,2677},{6,7,1429},{6,7,1029},{5,7,85},{5,7,2536},{4,7,122},{7,7,531},{7,7,459},{7,7,410},{7,7,338},{7,7,771},{7,7,627},{6,7,404},{5,7,4},{7,7,827},
{5,7,4},{6,7,1938},{6,7,1938},{6,7,1938},{6,7,1314},{6,7,1653},{6,7,1029},{6,7,1029},{5,7,85},{5,7,1512},{4,7,122},{7,7,410},{7,7,410},{7,7,410},{7,7,338},{7,7,650},{6,7,404},{6,7,404},{5,7,4},{6,7,596},{5,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,914},
{6,0,914},{6,0,914},{6,0,914},{5,7,481},{5,7,481},{5,7,481},{5,7,85},{4,7,122},{4,7,122},{7,7,2924},{6,7,2338},{6,7,1938},{6,7,1314},{6,7,2373},{6,7,1125},{6,7,725},{5,7,325},{6,7,2132},{5,7,232},{7,7,323},{7,7,251},{7,7,202},{7,7,130},{7,7,467},{7,7,323},{7,7,274},{5,7,36},{7,7,459},{5,7,36},{6,7,1938},{6,7,1938},{6,7,1938},
{6,7,1314},{6,7,1349},{6,7,725},{6,7,725},{5,7,325},{5,7,1256},{5,7,232},{7,7,202},{7,7,202},{7,7,202},{7,7,130},{7,7,346},{7,7,274},{7,7,274},{5,7,36},{7,7,410},{5,7,36},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,914},{6,0,914},{6,0,914},{6,0,914},{6,7,325},
{6,7,325},{6,7,325},{5,7,325},{5,7,232},{5,7,232},{7,7,2092},{7,7,2020},{7,7,1971},{6,7,1570},{7,7,2140},{6,7,1077},{6,7,677},{6,7,85},{6,7,1588},{5,7,232},{7,7,243},{7,7,171},{7,7,122},{7,7,50},{7,7,291},{7,7,147},{7,7,98},{6,7,4},{7,7,219},{6,7,4},{7,7,1971},{7,7,1971},{7,7,1971},{6,7,1570},{6,7,1301},{6,7,677},{6,7,677},
{6,7,85},{6,7,1188},{5,7,232},{7,7,122},{7,7,122},{7,7,122},{7,7,50},{7,7,170},{7,7,98},{7,7,98},{6,7,4},{7,7,170},{6,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,1170},{6,0,1170},{6,0,1170},{6,0,1170},{6,7,277},{6,7,277},{6,7,277},{6,7,85},{5,7,232},
{5,7,232},{0,4,1618},{0,3,436},{0,2,74},{0,2,866},{0,2,3411},{0,2,2531},{0,1,1251},{0,1,2531},{0,1,3772},{0,1,2892},{0,4,1618},{0,3,436},{0,2,74},{0,2,866},{0,2,3411},{0,2,2531},{0,1,1251},{0,1,2531},{2,0,3376},{0,1,2531},{0,1,25},{0,1,25},{0,1,25},{0,1,49},{0,0,360},{0,0,232},{0,0,232},{0,0,149},{0,0,332},{0,0,185},{0,1,25},
{0,1,25},{0,1,25},{0,1,49},{0,0,360},{0,0,232},{0,0,232},{0,0,149},{0,0,296},{0,0,149},{1,2,1570},{0,3,436},{0,2,74},{0,2,866},{1,2,1570},{0,2,1570},{0,2,866},{0,1,1570},{0,2,1570},{0,1,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,4,1586},{0,3,340},{0,2,10},
{0,2,450},{0,3,4016},{0,2,2627},{0,2,1411},{0,1,2691},{0,1,4572},{0,1,3052},{0,4,1586},{0,3,340},{0,2,10},{0,2,450},{1,1,3968},{0,2,2627},{0,2,1411},{0,1,2691},{2,0,4016},{0,1,2691},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,530},{0,1,362},{0,1,362},{0,0,325},{0,0,620},{0,0,361},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,530},
{0,1,362},{0,1,362},{0,0,325},{0,0,584},{0,0,325},{2,1,1570},{0,3,340},{0,2,10},{0,2,450},{2,1,1570},{4,0,1570},{0,2,450},{0,1,1730},{4,0,1570},{0,1,1730},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,5,1576},{0,4,290},{0,2,202},{0,2,290},{0,3,4656},{0,2,2979},{0,2,1251},
{0,1,3107},{0,1,5628},{0,1,3468},{0,5,1576},{0,4,290},{0,2,202},{0,2,290},{0,3,4656},{0,2,2979},{0,2,1251},{0,1,3107},{1,1,4656},{0,1,3107},{0,3,16},{0,3,16},{0,3,16},{0,1,81},{0,1,802},{0,1,442},{0,1,442},{0,0,629},{0,0,1036},{0,0,665},{0,3,16},{0,3,16},{0,3,16},{0,1,81},{0,1,802},{0,1,442},{0,1,442},{0,0,629},{1,0,818},
{0,0,629},{3,0,1576},{0,4,290},{0,2,202},{0,2,290},{3,0,1576},{3,1,1576},{0,2,290},{0,1,2146},{3,1,1576},{0,1,2146},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,5,1640},{0,4,162},{0,3,241},{0,2,386},{0,4,5539},{0,3,3512},{0,2,1347},{0,1,3779},{0,2,6396},{0,1,4140},{0,5,1640},
{0,4,162},{0,3,241},{0,2,386},{1,2,5435},{0,3,3512},{0,2,1347},{0,1,3779},{0,2,5435},{0,1,3779},{0,3,16},{0,3,16},{0,3,16},{0,2,25},{0,1,1202},{0,1,650},{0,1,650},{0,1,970},{0,0,1580},{0,0,1097},{0,3,16},{0,3,16},{0,3,16},{0,2,25},{1,0,1170},{0,1,650},{0,1,650},{0,1,970},{1,0,1154},{0,1,970},{2,2,1576},{0,4,162},{0,3,241},
{0,2,386},{2,2,1576},{5,0,1576},{0,2,386},{0,2,1730},{5,0,1576},{0,2,1730},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,6,1667},{0,5,259},{0,3,286},{0,3,406},{0,4,5440},{0,3,3035},{0,2,1284},{0,2,3504},{0,2,6513},{0,2,4465},{0,6,1667},{0,5,259},{0,3,286},{0,3,406},{2,1,5424},
{0,3,3035},{0,2,1284},{0,2,3504},{4,0,5424},{0,2,3504},{0,4,81},{0,4,81},{0,4,81},{0,2,97},{0,2,1160},{0,2,500},{0,2,500},{0,1,520},{0,1,1521},{0,1,881},{0,4,81},{0,4,81},{0,4,81},{0,2,97},{0,2,1160},{0,2,500},{0,2,500},{0,1,520},{0,1,1160},{0,1,520},{2,3,1576},{0,5,178},{1,3,100},{0,3,325},{2,3,1576},{6,0,1576},{0,3,325},
{0,2,1568},{6,0,1576},{0,2,1568},{0,0,81},{0,0,81},{0,0,81},{0,0,81},{0,0,9},{0,0,9},{0,0,9},{0,0,1},{0,0,37},{0,0,37},{0,7,1865},{0,5,339},{0,3,734},{0,3,374},{0,5,5435},{0,3,3019},{0,3,814},{0,2,2992},{0,2,7025},{0,2,3953},{1,5,1865},{0,5,339},{1,3,293},{0,3,374},{3,0,5435},{0,3,3019},{0,3,814},{0,2,2992},{3,1,5435},
{0,2,2992},{0,5,314},{0,5,314},{0,5,314},{0,3,370},{0,3,1170},{0,2,340},{0,2,340},{0,1,392},{0,1,1713},{0,1,753},{1,3,289},{1,3,289},{1,3,289},{1,2,289},{1,1,1154},{0,2,340},{0,2,340},{0,1,392},{1,1,1170},{0,1,392},{4,0,1576},{0,5,50},{1,3,4},{0,3,85},{4,0,1576},{5,1,1576},{0,3,85},{0,2,1696},{5,1,1576},{0,2,1696},{0,0,289},
{0,0,289},{0,0,289},{0,0,289},{0,1,4},{0,1,4},{0,1,4},{0,0,49},{0,0,85},{0,0,85},{0,7,2265},{0,6,787},{1,3,1401},{0,3,726},{0,5,5515},{0,4,2664},{0,3,462},{0,2,2864},{0,3,7363},{0,2,3825},{1,6,1667},{1,5,405},{1,3,245},{1,3,377},{2,2,5427},{0,4,2664},{0,3,462},{0,2,2864},{5,0,5427},{0,2,2864},{0,5,634},{0,5,634},{0,5,634},
{0,3,626},{0,3,1202},{0,3,362},{0,3,362},{0,1,520},{0,2,2145},{0,1,881},{1,4,106},{1,4,106},{1,4,106},{1,2,145},{2,0,1154},{0,3,362},{0,3,362},{0,1,520},{3,0,1154},{0,1,520},{2,4,1576},{0,6,162},{1,3,164},{0,3,101},{2,4,1576},{7,0,1576},{0,3,101},{0,2,2080},{7,0,1576},{0,2,2080},{0,0,625},{0,0,625},{0,0,625},{0,0,625},{0,1,36},
{0,1,36},{0,1,36},{0,1,36},{0,0,261},{0,0,261},{1,6,2775},{0,6,1091},{1,4,1422},{0,3,1462},{0,6,5427},{0,4,2536},{0,3,494},{0,2,3120},{0,3,7635},{0,2,4081},{1,6,1619},{1,5,165},{1,4,266},{1,3,361},{3,1,5427},{0,4,2536},{0,3,494},{0,2,3120},{4,1,5427},{0,2,3120},{0,6,1090},{0,6,1090},{0,6,1090},{0,3,1138},{0,4,1152},{0,3,170},{0,3,170},
{0,2,416},{0,2,2145},{0,1,1265},{1,4,10},{1,4,10},{1,4,10},{1,3,37},{0,4,1152},{0,3,170},{0,3,170},{0,2,416},{2,1,1152},{0,2,416},{3,3,1570},{0,6,2},{1,4,265},{1,3,360},{3,3,1570},{6,1,1570},{1,3,360},{0,3,1768},{6,1,1570},{0,3,1768},{0,0,1089},{0,0,1089},{0,0,1089},{0,0,1089},{0,2,4},{0,2,4},{0,2,4},{0,1,4},{0,1,365},
{0,1,365},{1,7,2796},{1,6,1432},{1,4,1413},{1,4,1593},{0,7,5435},{0,5,2360},{0,4,299},{0,3,2594},{0,3,8400},{0,3,4530},{1,7,1640},{1,6,276},{1,4,257},{1,4,437},{4,0,5427},{0,5,2360},{0,4,299},{0,3,2594},{3,2,5427},{0,3,2594},{1,5,1221},{1,5,1221},{1,5,1221},{1,3,1229},{0,5,1184},{0,4,250},{0,4,250},{0,2,146},{0,2,2451},{0,2,1107},{1,5,65},
{1,5,65},{1,5,65},{1,3,73},{1,3,1154},{0,4,250},{0,4,250},{0,2,146},{1,2,1154},{0,2,146},{4,2,1576},{0,6,128},{2,4,130},{0,4,74},{4,2,1576},{5,2,1576},{0,4,74},{0,3,1570},{5,2,1576},{0,3,1570},{1,0,1220},{1,0,1220},{1,0,1220},{1,0,1220},{0,3,4},{0,3,4},{0,3,4},{0,1,121},{0,1,482},{0,1,482},{1,7,3180},{1,6,1464},{1,4,1813},
{1,4,1513},{0,7,5515},{0,5,2168},{0,4,59},{0,3,2242},{0,4,8764},{0,3,4178},{2,6,1894},{1,6,308},{2,4,326},{1,4,357},{2,4,5427},{0,5,2168},{0,4,59},{0,3,2242},{7,0,5427},{0,3,2242},{1,6,1448},{1,6,1448},{1,6,1448},{1,4,1512},{0,5,1184},{0,4,58},{0,4,58},{0,2,178},{0,2,2995},{0,2,1139},{1,6,292},{1,6,292},{1,6,292},{2,3,325},{2,2,1152},
{0,4,58},{0,4,58},{0,2,178},{5,0,1152},{0,2,178},{5,1,1570},{0,7,34},{2,4,2},{0,4,10},{5,1,1570},{4,3,1570},{0,4,10},{0,3,1666},{4,3,1570},{0,3,1666},{1,0,1412},{1,0,1412},{1,0,1412},{1,0,1412},{0,3,36},{0,3,36},{0,3,36},{0,2,9},{0,1,722},{0,1,722},{1,7,3816},{1,6,1748},{1,5,2450},{1,4,1685},{0,7,5983},{0,6,2180},{0,4,207},
{0,3,2278},{0,4,9004},{0,3,4038},{2,7,1700},{2,6,462},{2,4,230},{2,4,406},{3,3,5420},{0,6,2176},{0,4,203},{0,3,2274},{6,1,5420},{0,3,2274},{1,6,1604},{1,6,1604},{1,6,1604},{1,4,1604},{0,6,1156},{0,4,126},{0,4,126},{0,3,429},{0,3,3044},{0,2,1307},{2,5,136},{2,5,136},{2,5,136},{2,3,149},{3,1,1152},{0,4,122},{0,4,122},{0,3,425},{4,1,1152},
{0,3,425},{6,0,1570},{0,7,130},{2,4,130},{1,4,85},{6,0,1570},{3,4,1570},{1,4,85},{0,3,2018},{3,4,1570},{0,3,2018},{1,0,1600},{1,0,1600},{1,0,1600},{1,0,1600},{0,4,5},{0,4,5},{0,4,5},{0,2,29},{0,2,866},{0,2,866},{1,7,4520},{1,7,1608},{1,5,2418},{1,4,1925},{1,7,5996},{0,6,1956},{0,5,409},{0,4,2751},{0,5,9020},{0,3,3846},{2,7,1604},
{2,6,174},{2,5,297},{2,4,342},{4,2,5420},{0,6,1856},{0,5,309},{0,4,2651},{5,2,5420},{0,4,2651},{1,7,1604},{1,7,1604},{1,7,1604},{1,4,1636},{0,7,1302},{0,5,120},{0,5,120},{0,3,189},{0,3,2820},{0,3,1245},{2,5,8},{2,5,8},{2,5,8},{2,4,53},{4,0,1154},{0,5,20},{0,5,20},{0,3,89},{3,2,1154},{0,3,89},{4,4,1568},{1,7,8},{2,5,293},
{0,5,293},{4,4,1568},{7,2,1568},{0,5,293},{0,4,1810},{7,2,1568},{0,4,1810},{1,0,1600},{1,0,1600},{1,0,1600},{1,0,1600},{0,5,116},{0,5,116},{0,5,116},{0,3,164},{0,2,610},{0,2,610},{2,7,4356},{1,7,2004},{2,5,2635},{1,5,2006},{1,7,5924},{0,6,2316},{0,5,499},{0,4,2337},{0,5,8300},{0,4,3420},{2,7,1955},{2,7,299},{2,5,234},{2,5,474},{5,1,5420},
{0,6,1955},{0,5,138},{0,4,1976},{4,3,5420},{0,4,1976},{1,7,1955},{1,7,1955},{1,7,1955},{1,5,1942},{1,6,1427},{0,5,435},{0,5,435},{0,3,378},{0,4,2628},{0,3,642},{2,6,53},{2,6,53},{2,6,53},{2,4,53},{2,4,1152},{0,5,74},{0,5,74},{0,3,17},{7,0,1152},{0,3,17},{5,3,1570},{1,7,98},{3,5,164},{1,5,100},{5,3,1570},{6,3,1570},{1,5,100},
{0,4,1576},{6,3,1570},{0,4,1576},{1,0,1906},{1,0,1906},{1,0,1906},{1,0,1906},{1,4,234},{1,4,234},{1,4,234},{1,2,325},{0,3,626},{0,3,626},{2,7,4356},{2,7,1964},{2,5,2267},{2,5,2027},{1,7,6404},{1,6,2220},{1,5,117},{1,4,2314},{0,5,8204},{0,4,2684},{3,7,1929},{2,7,283},{3,5,365},{2,5,346},{6,0,5420},{0,7,1712},{1,5,68},{0,4,1784},{3,4,5420},
{0,4,1784},{2,6,1942},{2,6,1942},{2,6,1942},{2,4,2006},{1,6,1219},{1,5,117},{1,5,117},{1,3,209},{0,4,2340},{0,3,514},{2,6,261},{2,6,261},{2,6,261},{2,4,325},{3,3,1154},{0,6,50},{0,6,50},{1,3,160},{6,1,1154},{1,3,160},{6,2,1568},{2,7,58},{3,5,4},{1,5,4},{6,2,1568},{5,4,1568},{1,5,4},{0,4,1640},{5,4,1568},{0,4,1640},{2,0,1906},
{2,0,1906},{2,0,1906},{2,0,1906},{1,4,74},{1,4,74},{1,4,74},{1,3,65},{0,3,370},{0,3,370},{2,7,4868},{2,7,1740},{2,5,2411},{2,5,1691},{2,7,6548},{1,7,2244},{1,5,165},{1,4,2250},{0,6,7668},{0,4,2460},{3,7,1817},{3,7,525},{3,5,221},{3,5,441},{4,4,5419},{0,7,1712},{1,5,164},{0,4,1976},{7,2,5419},{0,4,1976},{2,7,1619},{2,7,1619},{2,7,1619},
{2,5,1627},{1,7,1155},{1,5,101},{1,5,101},{1,3,417},{0,5,2379},{0,4,696},{3,5,157},{3,5,157},{3,5,157},{3,4,157},{4,2,1154},{0,6,82},{0,6,82},{0,4,212},{5,2,1154},{0,4,212},{7,1,1568},{2,7,122},{3,5,100},{2,5,73},{7,1,1568},{4,5,1568},{2,5,73},{0,4,1960},{4,5,1568},{0,4,1960},{2,0,1618},{2,0,1618},{2,0,1618},{2,0,1618},{1,5,1},
{1,5,1},{1,5,1},{1,3,17},{0,3,370},{0,3,370},{3,7,5570},{2,7,2028},{2,6,2394},{2,5,1867},{2,7,6452},{1,7,1956},{1,6,439},{1,4,2698},{0,6,7348},{0,4,2748},{3,7,2089},{3,7,189},{3,6,334},{3,5,329},{5,3,5419},{1,7,1875},{1,6,358},{0,5,2145},{6,3,5419},{0,5,2145},{2,7,1667},{2,7,1667},{2,7,1667},{2,5,1611},{1,7,1331},{1,6,115},{1,6,115},
{1,4,198},{0,5,1979},{0,4,248},{3,6,10},{3,6,10},{3,6,10},{3,5,73},{5,1,1160},{1,6,34},{1,6,34},{0,4,52},{7,1,1160},{0,4,52},{5,5,1570},{3,7,180},{4,5,320},{2,5,281},{5,5,1570},{3,6,1570},{2,5,281},{0,5,1856},{3,6,1570},{0,5,1856},{2,0,1586},{2,0,1586},{2,0,1586},{2,0,1586},{1,6,106},{1,6,106},{1,6,106},{1,4,162},{0,4,212},
{0,4,212},{3,7,5354},{3,7,2770},{3,6,2717},{2,6,1986},{2,7,6956},{1,7,2244},{1,6,457},{1,5,2351},{0,7,7268},{0,5,1974},{4,7,2384},{3,7,270},{3,6,217},{3,6,517},{6,2,5419},{1,7,1920},{1,6,133},{0,5,1650},{5,4,5419},{0,5,1650},{2,7,2180},{2,7,2180},{2,7,2180},{2,6,1905},{2,7,1480},{1,6,376},{1,6,376},{1,4,333},{0,5,1988},{0,4,203},{3,7,45},
{3,7,45},{3,7,45},{3,5,37},{6,0,1154},{1,6,52},{1,6,52},{1,4,9},{3,4,1154},{1,4,9},{6,4,1568},{3,7,234},{3,6,181},{1,6,117},{6,4,1568},{7,4,1568},{1,6,117},{0,5,1586},{7,4,1568},{0,5,1586},{2,0,1856},{2,0,1856},{2,0,1856},{2,0,1856},{2,5,272},{2,5,272},{2,5,272},{1,4,324},{0,4,194},{0,4,194},{3,7,5706},{3,7,2514},{3,6,2285},
{3,6,2105},{3,7,7359},{2,7,2244},{2,6,147},{2,5,2358},{0,7,6820},{0,5,1718},{4,7,2256},{3,7,750},{4,6,410},{3,6,341},{7,1,5419},{2,7,2180},{2,6,83},{0,5,1618},{4,5,5419},{0,5,1618},{3,7,1985},{3,7,1985},{3,7,1985},{3,5,2041},{2,7,1224},{2,6,146},{2,6,146},{2,4,210},{0,6,1644},{1,4,509},{3,7,221},{3,7,221},{3,7,221},{3,5,277},{5,2,1160},
{1,7,64},{1,7,64},{2,4,146},{7,2,1160},{2,4,146},{7,3,1570},{4,7,356},{4,6,10},{2,6,2},{7,3,1570},{6,5,1570},{2,6,2},{0,5,1618},{6,5,1570},{0,5,1618},{3,0,1960},{3,0,1960},{3,0,1960},{3,0,1960},{2,5,80},{2,5,80},{2,5,80},{2,4,89},{0,5,100},{0,5,100},{3,7,6570},{3,7,2770},{3,6,2365},{3,6,1705},{3,7,7311},{2,7,2276},{2,6,131},
{2,5,2230},{0,7,6884},{0,5,1974},{4,7,2512},{4,7,532},{4,6,218},{4,6,482},{5,5,5424},{2,7,2276},{2,6,131},{1,5,1931},{3,6,5424},{1,5,1931},{3,7,1809},{3,7,1809},{3,7,1809},{3,6,1656},{2,7,1352},{2,6,82},{2,6,82},{2,4,370},{0,6,1548},{0,5,293},{4,6,169},{4,6,169},{4,6,169},{4,5,169},{6,1,1160},{1,7,64},{1,7,64},{1,5,250},{6,3,1160},
{1,5,250},{5,7,1570},{4,7,388},{4,6,74},{3,6,65},{5,7,1570},{5,6,1570},{3,6,65},{0,5,1906},{5,6,1570},{0,5,1906},{3,0,1640},{3,0,1640},{3,0,1640},{3,0,1640},{2,6,1},{2,6,1},{2,6,1},{2,4,9},{0,5,68},{0,5,68},{4,7,6752},{3,7,3538},{3,7,2378},{3,6,1817},{3,7,7775},{2,7,2820},{2,7,477},{2,5,2614},{1,7,7360},{0,6,1978},{5,7,3110},
{4,7,692},{4,7,377},{4,6,322},{6,4,5424},{3,7,2539},{2,7,413},{0,6,1942},{7,4,5424},{0,6,1942},{3,7,2017},{3,7,2017},{3,7,2017},{3,6,1592},{3,7,1846},{2,7,116},{2,7,116},{2,5,213},{0,7,1531},{1,5,283},{4,7,16},{4,7,16},{4,7,16},{4,6,97},{7,0,1154},{2,7,52},{2,7,52},{1,5,58},{3,5,1154},{1,5,58},{7,4,1576},{5,7,610},{5,6,306},
{3,6,241},{7,4,1576},{7,5,1576},{3,6,241},{0,6,1906},{7,5,1576},{0,6,1906},{3,0,1576},{3,0,1576},{3,0,1576},{3,0,1576},{2,7,100},{2,7,100},{2,7,100},{2,5,164},{0,6,72},{0,6,72},{4,7,6932},{4,7,3932},{4,7,2807},{3,7,1974},{4,7,8428},{3,7,2981},{2,7,423},{2,6,2373},{1,7,7540},{0,6,1618},{5,7,2921},{4,7,1331},{4,7,206},{4,7,566},{7,3,5424},
{3,7,2692},{2,7,134},{0,6,1609},{6,5,5424},{0,6,1609},{4,7,2707},{4,7,2707},{4,7,2707},{3,7,1874},{3,7,1513},{2,7,323},{2,7,323},{2,5,294},{0,7,1324},{1,5,184},{4,7,106},{4,7,106},{4,7,106},{4,6,25},{7,1,1160},{2,7,34},{2,7,34},{2,5,5},{7,3,1160},{2,5,5},{7,5,1570},{5,7,628},{4,7,181},{2,7,125},{7,5,1570},{6,6,1586},{2,7,125},
{0,6,1600},{6,6,1586},{0,6,1600},{3,0,1810},{3,0,1810},{3,0,1810},{3,0,1810},{2,7,298},{2,7,298},{2,7,298},{2,5,290},{0,6,18},{0,6,18},{4,7,7636},{4,7,4156},{4,7,2311},{4,7,2191},{4,7,8428},{3,7,3317},{3,7,185},{3,6,2410},{2,7,8180},{1,6,1722},{5,7,3161},{5,7,1357},{5,7,461},{4,7,342},{5,7,5424},{4,7,2979},{3,7,104},{1,6,1601},{5,6,5424},
{1,6,1601},{4,7,2307},{4,7,2307},{4,7,2307},{4,6,2082},{3,7,1625},{3,7,181},{3,7,181},{3,5,217},{0,7,1548},{1,5,504},{5,7,457},{5,7,457},{5,7,457},{4,6,233},{6,3,1154},{3,7,100},{3,7,100},{3,5,136},{6,4,1154},{3,5,136},{6,7,1576},{5,7,916},{5,7,20},{3,7,4},{6,7,1576},{7,6,1576},{3,7,4},{0,6,1600},{7,6,1576},{0,6,1600},{4,0,2018},
{4,0,2018},{4,0,2018},{4,0,2018},{3,6,90},{3,6,90},{3,6,90},{3,5,117},{0,7,104},{0,7,104},{5,7,7862},{4,7,4316},{4,7,2291},{4,7,1691},{4,7,8004},{3,7,3433},{3,7,69},{3,6,1774},{2,7,7580},{1,6,1470},{5,7,3101},{5,7,1209},{5,7,185},{4,7,466},{7,4,4803},{4,7,2579},{3,7,68},{2,6,1448},{7,5,4803},{2,6,1448},{4,7,2291},{4,7,2291},{4,7,2291},
{4,7,1691},{3,7,2121},{3,7,69},{3,7,69},{3,5,329},{1,7,1539},{1,6,314},{5,7,185},{5,7,185},{5,7,185},{5,6,185},{7,2,1154},{3,7,68},{3,7,68},{2,6,292},{5,5,1154},{2,6,292},{7,6,1252},{6,7,724},{5,7,16},{4,7,25},{7,6,1252},{7,6,1268},{4,7,25},{0,6,1412},{7,6,1268},{0,6,1412},{4,0,1666},{4,0,1666},{4,0,1666},{4,0,1666},{3,7,5},
{3,7,5},{3,7,5},{3,5,5},{0,7,40},{0,7,40},{5,7,6806},{4,7,4684},{4,7,2659},{4,7,1579},{4,7,7668},{4,7,2988},{3,7,341},{3,6,1390},{2,7,7084},{1,6,1470},{6,7,2645},{5,7,1193},{5,7,169},{5,7,125},{6,6,4059},{4,7,2259},{4,7,234},{2,6,1224},{4,7,4059},{2,6,1224},{4,7,2659},{4,7,2659},{4,7,2659},{4,7,1579},{4,7,2043},{3,7,341},{3,7,341},
{3,6,234},{1,7,1779},{1,6,314},{5,7,169},{5,7,169},{5,7,169},{5,7,125},{5,6,1152},{4,7,234},{4,7,234},{2,6,68},{4,6,1152},{2,6,68},{7,6,900},{6,7,500},{6,7,100},{4,7,9},{7,6,900},{6,7,884},{4,7,9},{0,6,1220},{6,7,884},{0,6,1220},{4,0,1570},{4,0,1570},{4,0,1570},{4,0,1570},{3,7,85},{3,7,85},{3,7,85},{3,5,149},{1,7,98},
{1,7,98},{5,7,6077},{5,7,4185},{5,7,3161},{4,7,1912},{5,7,6790},{4,7,2529},{4,7,504},{3,6,1417},{3,7,6199},{1,7,1097},{6,7,1925},{6,7,1301},{5,7,457},{5,7,17},{7,5,3321},{5,7,1754},{4,7,180},{1,7,1093},{6,6,3345},{1,7,1093},{5,7,3161},{5,7,3161},{5,7,3161},{4,7,1912},{4,7,2124},{4,7,504},{4,7,504},{3,6,261},{2,7,1944},{2,6,171},{5,7,457},
{5,7,457},{5,7,457},{5,7,17},{6,5,1154},{4,7,180},{4,7,180},{3,6,5},{3,7,1154},{3,6,5},{7,7,605},{6,7,401},{6,7,1},{5,7,1},{7,7,605},{6,7,569},{5,7,1},{0,7,1089},{6,7,569},{0,7,1089},{4,0,1768},{4,0,1768},{4,0,1768},{4,0,1768},{4,7,360},{4,7,360},{4,7,360},{3,6,260},{1,7,8},{1,7,8},{5,7,5837},{5,7,3945},{5,7,2921},
{5,7,2129},{5,7,6054},{4,7,2529},{4,7,504},{4,6,1386},{3,7,5767},{2,7,773},{6,7,1557},{6,7,933},{6,7,533},{5,7,193},{6,7,2754},{5,7,1434},{4,7,404},{2,7,629},{5,7,2754},{2,7,629},{5,7,2921},{5,7,2921},{5,7,2921},{5,7,2129},{4,7,2604},{4,7,504},{4,7,504},{4,6,230},{2,7,2264},{2,6,443},{6,7,533},{6,7,533},{6,7,533},{5,7,193},{7,4,1152},
{4,7,404},{4,7,404},{3,6,117},{7,5,1152},{3,6,117},{7,7,317},{7,7,245},{6,7,49},{6,7,25},{7,7,317},{7,7,373},{6,7,25},{0,7,625},{7,7,373},{0,7,625},{5,0,2080},{5,0,2080},{5,0,2080},{5,0,2080},{4,7,104},{4,7,104},{4,7,104},{4,6,149},{2,7,148},{2,7,148},{5,7,5981},{5,7,4089},{5,7,3065},{5,7,1921},{5,7,5702},{5,7,2666},{4,7,888},
{4,7,693},{4,7,5325},{2,7,341},{6,7,1445},{6,7,821},{6,7,421},{6,7,205},{7,6,2306},{5,7,1370},{5,7,346},{2,7,325},{7,6,2274},{2,7,325},{5,7,3065},{5,7,3065},{5,7,3065},{5,7,1921},{5,7,2786},{4,7,888},{4,7,888},{4,6,294},{3,7,2355},{2,7,341},{6,7,421},{6,7,421},{6,7,421},{6,7,205},{7,5,1184},{5,7,346},{5,7,346},{4,6,290},{6,6,1152},
{4,6,290},{7,7,157},{7,7,85},{7,7,36},{6,7,9},{7,7,157},{7,7,149},{6,7,9},{0,7,289},{7,7,149},{0,7,289},{5,0,1696},{5,0,1696},{5,0,1696},{5,0,1696},{4,7,104},{4,7,104},{4,7,104},{4,6,5},{2,7,52},{2,7,52},{6,7,5433},{5,7,4617},{5,7,3593},{5,7,2097},{5,7,5734},{5,7,2346},{5,7,1322},{4,7,261},{4,7,4909},{2,7,293},{6,7,1589},
{6,7,965},{6,7,565},{6,7,157},{7,6,1890},{6,7,1146},{5,7,538},{3,7,82},{6,7,1890},{3,7,82},{5,7,3593},{5,7,3593},{5,7,3593},{5,7,2097},{5,7,2818},{5,7,1322},{5,7,1322},{4,7,261},{3,7,2691},{2,7,293},{6,7,565},{6,7,565},{6,7,565},{6,7,157},{6,7,1154},{5,7,538},{5,7,538},{3,7,82},{5,7,1154},{3,7,82},{7,7,125},{7,7,53},{7,7,4},
{7,7,4},{7,7,125},{7,7,53},{7,7,4},{0,7,81},{7,7,53},{0,7,81},{5,0,1568},{5,0,1568},{5,0,1568},{5,0,1568},{4,7,360},{4,7,360},{4,7,360},{4,6,117},{2,7,212},{2,7,212},{6,7,4866},{6,7,4242},{6,7,3842},{5,7,2754},{6,7,5113},{5,7,2445},{5,7,1421},{4,7,234},{5,7,4804},{3,7,164},{7,7,1203},{7,7,1131},{6,7,1033},{6,7,409},{7,7,1611},
{6,7,1056},{6,7,656},{4,7,9},{6,7,1584},{4,7,9},{6,7,3842},{6,7,3842},{6,7,3842},{5,7,2754},{5,7,3313},{5,7,1421},{5,7,1421},{4,7,234},{4,7,2875},{3,7,164},{6,7,1033},{6,7,1033},{6,7,1033},{6,7,409},{7,6,1152},{6,7,656},{6,7,656},{4,7,9},{7,6,1184},{4,7,9},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},
{0,7,0},{7,7,98},{0,7,0},{5,0,1730},{5,0,1730},{5,0,1730},{5,0,1730},{5,7,397},{5,7,397},{5,7,397},{4,7,234},{3,7,164},{3,7,164},{6,7,4194},{6,7,3570},{6,7,3170},{6,7,2546},{6,7,4137},{5,7,2365},{5,7,1341},{5,7,185},{5,7,3876},{3,7,324},{7,7,771},{7,7,699},{7,7,650},{6,7,521},{7,7,1083},{6,7,864},{6,7,464},{4,7,25},{7,7,1187},
{4,7,25},{6,7,3170},{6,7,3170},{6,7,3170},{6,7,2546},{6,7,3113},{5,7,1341},{5,7,1341},{5,7,185},{4,7,2491},{3,7,324},{7,7,650},{7,7,650},{7,7,650},{6,7,521},{7,6,832},{6,7,464},{6,7,464},{4,7,25},{6,7,800},{4,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,2146},
{5,0,2146},{5,0,2146},{5,0,2146},{5,7,317},{5,7,317},{5,7,317},{5,7,185},{3,7,324},{3,7,324},{6,7,3778},{6,7,3154},{6,7,2754},{6,7,2130},{6,7,3417},{6,7,2169},{5,7,1517},{5,7,9},{5,7,3204},{4,7,338},{7,7,467},{7,7,395},{7,7,346},{7,7,274},{7,7,683},{7,7,539},{6,7,400},{5,7,0},{7,7,723},{5,7,0},{6,7,2754},{6,7,2754},{6,7,2754},
{6,7,2130},{6,7,2393},{5,7,1517},{5,7,1517},{5,7,9},{5,7,2180},{4,7,338},{7,7,346},{7,7,346},{7,7,346},{7,7,274},{7,7,562},{6,7,400},{6,7,400},{5,7,0},{6,7,544},{5,7,0},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,1730},{6,0,1730},{6,0,1730},{6,0,1730},{5,7,493},
{5,7,493},{5,7,493},{5,7,9},{4,7,338},{4,7,338},{6,7,3618},{6,7,2994},{6,7,2594},{6,7,1970},{6,7,2953},{6,7,1705},{6,7,1305},{5,7,89},{5,7,2788},{4,7,466},{7,7,291},{7,7,219},{7,7,170},{7,7,98},{7,7,411},{7,7,267},{7,7,218},{6,7,16},{7,7,387},{6,7,16},{6,7,2594},{6,7,2594},{6,7,2594},{6,7,1970},{6,7,1929},{6,7,1305},{6,7,1305},
{5,7,89},{5,7,1764},{4,7,466},{7,7,170},{7,7,170},{7,7,170},{7,7,98},{7,7,290},{7,7,218},{7,7,218},{6,7,16},{7,7,338},{6,7,16},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,1570},{6,0,1570},{6,0,1570},{6,0,1570},{6,7,905},{6,7,905},{6,7,905},{5,7,89},{4,7,466},
{4,7,466},{0,5,2665},{0,4,697},{0,3,290},{0,2,841},{0,3,5901},{0,2,4170},{0,2,1802},{0,1,4310},{0,1,6951},{0,1,4671},{0,5,2665},{0,4,697},{0,3,290},{0,2,841},{2,0,5893},{0,2,4170},{0,2,1802},{0,1,4310},{3,0,5893},{0,1,4310},{0,2,4},{0,2,4},{0,2,4},{0,1,4},{0,1,557},{0,1,365},{0,1,365},{0,0,356},{0,0,665},{0,0,392},{0,2,4},
{0,2,4},{0,2,4},{0,1,4},{0,1,557},{0,1,365},{0,1,365},{0,0,356},{0,0,629},{0,0,356},{3,0,2665},{0,4,697},{0,3,290},{0,2,841},{3,0,2665},{3,1,2665},{0,2,841},{0,2,3145},{3,1,2665},{0,2,3145},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,6,2705},{0,4,617},{0,3,34},
{0,2,985},{0,4,6754},{0,3,4625},{0,2,1946},{0,1,5030},{0,2,7635},{0,1,5391},{0,6,2705},{0,4,617},{0,3,34},{0,2,985},{1,2,6674},{0,3,4625},{0,2,1946},{0,1,5030},{0,2,6674},{0,1,5030},{0,3,9},{0,3,9},{0,3,9},{0,1,100},{0,1,845},{0,1,461},{0,1,461},{0,0,676},{0,0,1097},{0,0,712},{0,3,9},{0,3,9},{0,3,9},{0,1,100},{0,1,845},
{0,1,461},{0,1,461},{0,0,676},{1,0,853},{0,0,676},{1,4,2665},{0,4,617},{0,3,34},{0,2,985},{1,4,2665},{2,2,2665},{0,2,985},{0,2,2777},{2,2,2665},{0,2,2777},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,6,2689},{0,5,477},{0,3,34},{0,3,634},{0,4,7538},{0,3,4865},{0,2,2346},
{0,2,5474},{0,2,8547},{0,1,6367},{0,6,2689},{0,5,477},{0,3,34},{0,3,634},{0,4,7538},{0,3,4865},{0,2,2346},{0,2,5474},{2,1,7538},{0,2,5474},{0,3,25},{0,3,25},{0,3,25},{0,2,16},{0,1,1261},{0,1,685},{0,1,685},{0,1,965},{0,1,1646},{0,0,1160},{0,3,25},{0,3,25},{0,3,25},{0,2,16},{1,0,1213},{0,1,685},{0,1,685},{0,1,965},{1,0,1205},
{0,1,965},{2,3,2669},{0,5,477},{0,3,34},{0,3,634},{2,3,2669},{6,0,2669},{0,3,634},{0,2,2665},{6,0,2669},{0,2,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,7,2669},{0,5,365},{0,3,290},{0,3,410},{0,4,8578},{0,3,5361},{0,3,2346},{0,2,5618},{0,2,9715},{0,2,6579},{0,7,2669},
{0,5,365},{0,3,290},{0,3,410},{2,1,8498},{0,3,5361},{0,3,2346},{0,2,5618},{4,0,8498},{0,2,5618},{0,4,0},{0,4,0},{0,4,0},{0,2,16},{0,2,1637},{0,2,977},{0,2,977},{0,1,997},{0,1,1998},{0,1,1358},{0,4,0},{0,4,0},{0,4,0},{0,2,16},{1,0,1629},{0,2,977},{0,2,977},{0,1,997},{0,1,1637},{0,1,997},{3,2,2669},{0,5,365},{1,3,185},
{0,3,410},{3,2,2669},{5,1,2669},{0,3,410},{0,2,2809},{5,1,2669},{0,2,2809},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,7,2777},{0,6,257},{0,4,277},{0,3,464},{0,5,9677},{0,4,6026},{0,3,2400},{0,2,6086},{0,2,11335},{0,2,7047},{0,7,2777},{0,6,257},{0,4,277},{0,3,464},{3,0,9677},
{0,4,6026},{0,3,2400},{0,2,6086},{3,1,9677},{0,2,6086},{0,5,16},{0,5,16},{0,5,16},{0,3,64},{0,2,2186},{0,2,1130},{0,2,1130},{0,1,1186},{0,1,2547},{0,1,1547},{0,5,16},{0,5,16},{0,5,16},{0,3,64},{0,2,2186},{0,2,1130},{0,2,1130},{0,1,1186},{0,1,2186},{0,1,1186},{4,1,2669},{0,6,257},{0,4,277},{0,3,464},{4,1,2669},{4,2,2669},{0,3,464},
{0,3,3209},{4,2,2669},{0,3,3209},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,7,3209},{0,6,209},{0,4,389},{0,4,541},{0,6,9765},{0,4,5546},{0,3,2080},{0,2,5990},{0,3,11621},{0,2,6951},{0,7,3209},{0,6,209},{0,4,389},{0,4,541},{1,4,9677},{0,4,5546},{0,3,2080},{0,2,5990},{2,2,9677},
{0,2,5990},{0,5,80},{0,5,80},{0,5,80},{0,3,64},{0,3,2196},{0,2,970},{0,2,970},{0,1,1058},{0,1,2739},{0,1,1419},{0,5,80},{0,5,80},{0,5,80},{0,3,64},{1,1,2180},{0,2,970},{0,2,970},{0,1,1058},{1,1,2196},{0,1,1058},{5,0,2669},{0,6,145},{1,4,52},{0,4,477},{5,0,2669},{3,3,2669},{0,4,477},{0,3,2809},{3,3,2669},{0,3,2809},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,40},{0,0,40},{0,7,4025},{0,7,441},{0,4,885},{0,4,429},{0,6,9685},{0,4,5450},{0,4,1854},{0,3,6029},{0,3,11925},{0,2,7239},{1,7,3001},{0,7,441},{1,4,344},{0,4,429},{3,1,9685},{0,4,5450},{0,4,1854},{0,3,6029},{4,1,9685},{0,3,6029},{0,6,256},{0,6,256},{0,6,256},
{0,3,320},{0,3,2228},{0,3,848},{0,3,848},{0,1,1186},{0,2,3171},{0,1,1547},{0,6,256},{0,6,256},{0,6,256},{0,3,320},{2,0,2180},{0,3,848},{0,3,848},{0,1,1186},{3,0,2180},{0,1,1186},{4,2,2677},{0,7,185},{1,4,20},{0,4,173},{4,2,2677},{7,1,2677},{0,4,173},{0,3,2665},{7,1,2677},{0,3,2665},{0,0,256},{0,0,256},{0,0,256},{0,0,256},{0,1,9},
{0,1,9},{0,1,9},{0,0,36},{0,0,72},{0,0,72},{1,7,4141},{0,7,617},{1,4,1500},{0,4,701},{0,7,9690},{0,5,5001},{0,4,1214},{0,3,5277},{0,3,12613},{0,3,7213},{1,7,2985},{1,6,465},{1,4,344},{1,4,524},{4,0,9674},{0,5,5001},{0,4,1214},{0,3,5277},{3,2,9674},{0,3,5277},{0,7,601},{0,7,601},{0,7,601},{0,4,601},{0,4,2178},{0,3,656},{0,3,656},
{0,2,866},{0,2,3171},{0,2,1827},{1,5,101},{1,5,101},{1,5,101},{1,3,109},{0,4,2178},{0,3,656},{0,3,656},{0,2,866},{2,1,2178},{0,2,866},{5,1,2669},{0,7,41},{2,4,181},{0,4,125},{5,1,2669},{4,3,2669},{0,4,125},{0,3,2777},{4,3,2669},{0,3,2777},{0,0,576},{0,0,576},{0,0,576},{0,0,576},{0,1,25},{0,1,25},{0,1,25},{0,1,49},{0,0,232},
{0,0,232},{1,7,4582},{0,7,1274},{1,5,1446},{0,4,1466},{0,7,9789},{0,5,4794},{0,4,953},{0,3,4890},{0,4,13038},{0,3,6826},{1,7,3426},{1,7,290},{1,5,290},{1,4,443},{2,4,9685},{0,5,4794},{0,4,953},{0,3,4890},{7,0,9685},{0,3,4890},{0,7,1105},{0,7,1105},{0,7,1105},{0,4,1105},{0,5,2210},{0,4,592},{0,4,592},{0,2,596},{0,2,3477},{0,2,1557},{1,6,26},
{1,6,26},{1,6,26},{1,4,82},{1,3,2180},{0,4,592},{0,4,592},{0,2,596},{1,2,2180},{0,2,596},{6,0,2677},{0,7,185},{1,5,289},{0,4,377},{6,0,2677},{5,3,2677},{0,4,377},{0,3,3209},{5,3,2677},{0,3,3209},{0,0,1089},{0,0,1089},{0,0,1089},{0,0,1089},{0,2,4},{0,2,4},{0,2,4},{0,1,4},{0,1,365},{0,1,365},{1,7,5382},{1,7,1350},{1,5,1510},
{1,5,1738},{0,7,10285},{0,6,4406},{0,5,971},{0,3,4954},{0,4,13534},{0,3,6890},{2,7,3454},{1,7,194},{1,5,354},{1,5,582},{3,3,9674},{0,6,4406},{0,5,971},{0,3,4954},{6,1,9674},{0,3,4954},{1,6,1214},{1,6,1214},{1,6,1214},{1,4,1206},{0,5,2210},{0,4,400},{0,4,400},{0,2,628},{0,2,4021},{0,2,1589},{1,6,58},{1,6,58},{1,6,58},{1,4,50},{2,2,2178},
{0,4,400},{0,4,400},{0,2,628},{5,0,2178},{0,2,628},{4,4,2669},{1,7,145},{2,5,74},{0,5,130},{4,4,2669},{7,2,2669},{0,5,130},{0,4,2845},{7,2,2669},{0,4,2845},{1,0,1205},{1,0,1205},{1,0,1205},{1,0,1205},{0,3,9},{0,3,9},{0,3,9},{0,1,100},{0,1,461},{0,1,461},{1,7,6566},{1,7,1638},{1,5,1958},{1,5,1578},{1,7,10830},{0,6,4118},{0,5,443},
{0,4,4785},{0,4,14414},{0,3,7338},{2,7,3390},{1,7,482},{2,5,371},{1,5,422},{4,2,9674},{0,6,4118},{0,5,443},{0,4,4785},{5,2,9674},{0,4,4785},{1,7,1382},{1,7,1382},{1,7,1382},{1,4,1430},{0,6,2178},{0,5,442},{0,5,442},{0,3,641},{0,3,4242},{0,2,1877},{1,7,226},{1,7,226},{1,7,226},{1,4,274},{3,1,2178},{0,5,442},{0,5,442},{0,3,641},{4,1,2178},
{0,3,641},{5,3,2669},{1,7,257},{2,5,10},{0,5,2},{5,3,2669},{6,3,2669},{0,5,2},{0,4,2669},{6,3,2669},{0,4,2669},{1,0,1381},{1,0,1381},{1,0,1381},{1,0,1381},{0,3,25},{0,3,25},{0,3,25},{0,2,16},{0,1,685},{0,1,685},{1,7,8134},{1,7,2310},{1,6,2671},{1,5,1802},{1,7,11086},{0,7,4109},{0,5,299},{0,4,4193},{0,5,14830},{0,4,7442},{2,7,3710},
{2,7,490},{2,5,323},{2,5,563},{5,1,9669},{0,7,4109},{0,5,299},{0,4,4193},{4,3,9669},{0,4,4193},{1,7,1734},{1,7,1734},{1,7,1734},{1,5,1721},{0,7,2228},{0,5,218},{0,5,218},{0,3,305},{0,3,4626},{0,3,2241},{2,6,125},{2,6,125},{2,6,125},{2,4,125},{4,0,2180},{0,5,218},{0,5,218},{0,3,305},{3,2,2180},{0,3,305},{6,2,2665},{2,7,369},{3,5,181},
{1,5,117},{6,2,2665},{5,4,2665},{1,5,117},{0,4,2749},{5,4,2665},{0,4,2749},{1,0,1685},{1,0,1685},{1,0,1685},{1,0,1685},{0,4,0},{0,4,0},{0,4,0},{0,2,16},{0,2,977},{0,2,977},{2,7,9153},{1,7,3525},{1,6,3220},{1,5,2513},{1,7,11833},{0,7,3686},{0,6,548},{0,4,3986},{0,5,15577},{0,4,7235},{3,7,4141},{2,7,481},{2,6,309},{2,5,428},{6,0,9674},
{0,7,3686},{0,6,548},{0,4,3986},{3,4,9674},{0,4,3986},{1,7,2436},{1,7,2436},{1,7,2436},{1,5,2189},{0,7,2210},{0,5,272},{0,5,272},{0,3,233},{0,3,5364},{0,3,2169},{2,7,40},{2,7,40},{2,7,40},{2,5,104},{2,4,2178},{0,5,272},{0,5,272},{0,3,233},{7,0,2178},{0,3,233},{7,1,2669},{2,7,477},{2,6,305},{0,6,292},{7,1,2669},{4,5,2669},{0,6,292},
{0,4,3145},{4,5,2669},{0,4,3145},{1,0,2180},{1,0,2180},{1,0,2180},{1,0,2180},{0,5,16},{0,5,16},{0,5,16},{0,3,64},{0,2,1130},{0,2,1130},{2,7,10154},{1,7,4946},{1,6,4049},{1,6,2853},{1,7,12838},{0,7,3719},{0,6,133},{0,4,4211},{0,6,16286},{0,4,7346},{3,7,4061},{2,7,881},{2,6,325},{2,6,629},{4,4,9669},{0,7,3718},{0,6,132},{0,4,4210},{7,2,9669},
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{1,0,2689},{1,0,2689},{1,0,2689},{0,5,17},{0,5,17},{0,5,17},{0,3,1},{0,2,1341},{0,2,1341},{2,7,10666},{2,7,5146},{2,6,4206},{1,6,2933},{2,7,13606},{0,7,4215},{0,6,181},{0,5,3914},{0,6,15454},{0,4,7122},{3,7,4365},{3,7,1097},{3,6,404},{2,6,421},{5,3,9669},{1,7,4133},{0,6,100},{0,5,3833},{6,3,9669},{0,5,3833},{2,7,3777},{2,7,3777},{2,7,3777},
{1,6,2933},{1,7,2805},{0,6,181},{0,6,181},{0,4,275},{0,4,5282},{0,3,2130},{2,7,296},{2,7,296},{2,7,296},{2,5,232},{4,2,2180},{0,6,100},{0,6,100},{0,4,194},{5,2,2180},{0,4,194},{6,4,2665},{3,7,697},{3,6,4},{1,6,4},{6,4,2665},{7,4,2665},{1,6,4},{0,5,2677},{7,4,2665},{0,5,2677},{1,0,2929},{1,0,2929},{1,0,2929},{1,0,2929},{0,6,81},
{0,6,81},{0,6,81},{0,3,145},{0,3,1289},{0,3,1289},{2,7,11690},{2,7,5434},{2,7,4085},{2,6,3198},{2,7,13510},{1,7,4470},{1,6,585},{0,5,3690},{0,6,15134},{0,5,6210},{3,7,5053},{3,7,1177},{3,6,308},{2,6,597},{6,2,9670},{1,7,4181},{1,6,296},{0,5,3401},{5,4,9670},{0,5,3401},{2,7,3409},{2,7,3409},{2,7,3409},{2,6,3134},{1,7,2565},{0,7,323},{0,7,323},
{0,4,323},{0,5,5085},{0,4,1634},{3,7,153},{3,7,153},{3,7,153},{3,5,145},{5,1,2186},{0,7,34},{0,7,34},{0,4,34},{7,1,2186},{0,4,34},{7,3,2665},{4,7,937},{3,6,164},{1,6,100},{7,3,2665},{6,5,2665},{1,6,100},{0,5,2725},{6,5,2665},{0,5,2725},{2,0,3085},{2,0,3085},{2,0,3085},{2,0,3085},{1,5,290},{1,5,290},{1,5,290},{1,3,298},{0,3,985},
{0,3,985},{3,7,12062},{2,7,6370},{2,7,3743},{2,6,3018},{2,7,14014},{1,7,4758},{1,6,603},{1,5,4049},{0,7,14638},{0,5,5310},{4,7,4958},{3,7,1726},{3,7,334},{3,6,419},{7,1,9669},{1,7,4694},{0,7,341},{0,5,3374},{4,5,9669},{0,5,3374},{2,7,3454},{2,7,3454},{2,7,3454},{2,6,2729},{1,7,2754},{1,6,314},{1,6,314},{1,4,289},{0,5,4626},{0,4,1121},{3,7,45},
{3,7,45},{3,7,45},{3,5,109},{6,0,2180},{0,7,52},{0,7,52},{0,4,160},{3,4,2180},{0,4,160},{5,7,2665},{4,7,1009},{4,6,293},{2,6,293},{5,7,2665},{5,6,2665},{2,6,293},{0,5,3085},{5,6,2665},{0,5,3085},{2,0,2725},{2,0,2725},{2,0,2725},{2,0,2725},{1,6,89},{1,6,89},{1,6,89},{1,4,145},{0,3,949},{0,3,949},{3,7,12414},{3,7,7246},{2,7,3983},
{2,7,2879},{2,7,15006},{1,7,5558},{1,7,163},{1,5,4161},{0,7,14190},{0,5,5054},{4,7,5246},{4,7,2186},{3,7,302},{3,6,659},{5,5,9670},{2,7,4926},{1,7,163},{0,5,3758},{3,6,9670},{0,5,3758},{2,7,3902},{2,7,3902},{2,7,3902},{2,6,2777},{1,7,3330},{1,7,82},{1,7,82},{1,4,401},{0,6,4490},{0,4,1073},{3,7,221},{3,7,221},{3,7,221},{3,6,34},{5,2,2186},
{1,7,82},{1,7,82},{0,5,277},{7,2,2186},{0,5,277},{6,6,2665},{5,7,1313},{4,7,130},{1,7,82},{6,6,2665},{4,7,2665},{1,7,82},{0,6,2929},{4,7,2665},{0,6,2929},{2,0,2677},{2,0,2677},{2,0,2677},{2,0,2677},{1,6,9},{1,6,9},{1,6,9},{1,4,1},{0,4,673},{0,4,673},{3,7,13278},{3,7,7502},{3,7,4254},{2,7,2895},{3,7,15045},{2,7,6114},{1,7,147},
{1,6,3978},{0,7,14254},{0,6,4818},{4,7,5918},{4,7,2378},{4,7,443},{3,7,426},{6,4,9670},{2,7,5438},{1,7,83},{0,6,3218},{7,4,9670},{0,6,3218},{3,7,4253},{3,7,4253},{3,7,4253},{2,7,2894},{2,7,3054},{1,7,146},{1,7,146},{1,5,296},{0,6,3978},{0,5,821},{4,7,442},{4,7,442},{4,7,442},{3,6,194},{6,1,2186},{1,7,82},{1,7,82},{0,5,37},{6,3,2186},
{0,5,37},{7,5,2665},{5,7,1361},{4,7,2},{2,7,10},{7,5,2665},{6,6,2689},{2,7,10},{0,6,2689},{6,6,2689},{0,6,2689},{2,0,2885},{2,0,2885},{2,0,2885},{2,0,2885},{1,7,65},{1,7,65},{1,7,65},{1,4,113},{0,4,625},{0,4,625},{3,7,13261},{3,7,7409},{3,7,4045},{3,7,3209},{3,7,14116},{2,7,5615},{2,7,574},{1,6,3165},{0,7,13437},{0,6,3429},{5,7,5269},
{4,7,2275},{4,7,250},{3,7,505},{5,6,8712},{3,7,4724},{2,7,250},{0,6,2405},{4,6,8712},{0,6,2405},{3,7,4045},{3,7,4045},{3,7,4045},{3,7,3209},{2,7,3150},{2,7,574},{2,7,574},{1,5,296},{0,6,3850},{0,5,453},{4,7,250},{4,7,250},{4,7,250},{4,6,169},{7,0,2180},{2,7,250},{2,7,250},{1,5,40},{3,5,2180},{1,5,40},{6,7,2180},{5,7,1168},{4,7,81},
{2,7,25},{6,7,2180},{5,7,2180},{2,7,25},{0,6,2180},{5,7,2180},{0,6,2180},{3,0,3145},{3,0,3145},{3,0,3145},{3,0,3145},{1,7,305},{1,7,305},{1,7,305},{1,5,292},{0,5,449},{0,5,449},{4,7,11894},{3,7,7634},{3,7,4270},{3,7,2750},{3,7,13315},{2,7,5354},{2,7,313},{1,6,2634},{1,7,12414},{0,6,2250},{5,7,4369},{4,7,2365},{4,7,340},{4,7,160},{7,3,7590},
{3,7,4094},{2,7,232},{0,6,1721},{6,5,7590},{0,6,1721},{3,7,4270},{3,7,4270},{3,7,4270},{3,7,2750},{2,7,3717},{2,7,313},{2,7,313},{2,5,302},{0,7,3546},{0,5,498},{4,7,340},{4,7,340},{4,7,340},{4,6,97},{7,1,2186},{2,7,232},{2,7,232},{1,5,130},{7,3,2186},{1,5,130},{6,7,1649},{6,7,1025},{5,7,9},{3,7,1},{6,7,1649},{7,6,1625},{3,7,1},
{0,6,1685},{7,6,1625},{0,6,1685},{3,0,2749},{3,0,2749},{3,0,2749},{3,0,2749},{2,7,117},{2,7,117},{2,7,117},{2,5,181},{0,5,377},{0,5,377},{4,7,11078},{4,7,7478},{3,7,4878},{3,7,2750},{4,7,12662},{3,7,5031},{2,7,489},{2,6,1911},{1,7,11470},{0,6,1610},{5,7,3841},{5,7,1949},{4,7,692},{4,7,32},{5,7,6662},{4,7,3641},{3,7,442},{0,6,1385},{5,6,6662},
{0,6,1385},{3,7,4878},{3,7,4878},{3,7,4878},{3,7,2750},{3,7,3795},{2,7,489},{2,7,489},{2,5,366},{0,7,3354},{0,6,454},{4,7,692},{4,7,692},{4,7,692},{4,7,32},{6,3,2180},{3,7,442},{3,7,442},{0,6,229},{6,4,2180},{0,6,229},{7,6,1201},{6,7,689},{5,7,25},{4,7,16},{7,6,1201},{7,6,1225},{4,7,16},{0,6,1381},{7,6,1225},{0,6,1381},{3,0,2669},
{3,0,2669},{3,0,2669},{3,0,2669},{2,7,5},{2,7,5},{2,7,5},{2,5,5},{0,6,229},{0,6,229},{4,7,10646},{4,7,7046},{4,7,5021},{3,7,3134},{4,7,11526},{3,7,4503},{2,7,1049},{2,6,1479},{1,7,10910},{0,6,1354},{5,7,3569},{5,7,1677},{5,7,653},{4,7,160},{7,4,5829},{4,7,3065},{3,7,410},{1,6,1209},{7,5,5829},{1,6,1209},{4,7,5021},{4,7,5021},{4,7,5021},
{3,7,3134},{3,7,3875},{2,7,1049},{2,7,1049},{2,6,323},{0,7,3546},{0,6,198},{5,7,653},{5,7,653},{5,7,653},{4,7,160},{7,2,2180},{3,7,410},{3,7,410},{1,6,53},{5,5,2180},{1,6,53},{7,6,865},{6,7,481},{6,7,81},{4,7,16},{7,6,865},{6,7,841},{4,7,16},{0,6,1205},{6,7,841},{0,6,1205},{3,0,2845},{3,0,2845},{3,0,2845},{3,0,2845},{2,7,149},
{2,7,149},{2,7,149},{2,5,85},{0,6,149},{0,6,149},{4,7,10598},{4,7,6998},{4,7,4973},{4,7,3353},{4,7,10774},{3,7,4359},{3,7,995},{2,6,1431},{2,7,10294},{0,7,1242},{6,7,3329},{5,7,1661},{5,7,637},{5,7,197},{6,6,5085},{4,7,2745},{3,7,634},{0,7,1098},{4,7,5085},{0,7,1098},{4,7,4973},{4,7,4973},{4,7,4973},{4,7,3353},{3,7,4339},{3,7,995},{3,7,995},
{2,6,275},{1,7,3845},{0,6,326},{5,7,637},{5,7,637},{5,7,637},{5,7,197},{5,6,2178},{3,7,634},{3,7,634},{1,6,37},{4,6,2178},{1,6,37},{7,7,605},{6,7,401},{6,7,1},{5,7,1},{7,7,605},{6,7,569},{5,7,1},{0,7,1089},{6,7,569},{0,7,1089},{4,0,3209},{4,0,3209},{4,0,3209},{4,0,3209},{3,7,370},{3,7,370},{3,7,370},{2,6,274},{0,7,153},
{0,7,153},{5,7,9925},{4,7,7403},{4,7,5378},{4,7,3218},{4,7,10387},{4,7,4627},{3,7,1292},{3,6,1477},{2,7,9727},{0,7,621},{6,7,2609},{5,7,1949},{5,7,925},{5,7,89},{7,5,4347},{5,7,2384},{4,7,666},{0,7,612},{6,6,4371},{0,7,612},{4,7,5378},{4,7,5378},{4,7,5378},{4,7,3218},{4,7,4762},{3,7,1292},{3,7,1292},{3,6,321},{1,7,4106},{1,6,469},{5,7,925},
{5,7,925},{5,7,925},{5,7,89},{6,5,2180},{4,7,666},{4,7,666},{2,6,104},{3,7,2180},{2,6,104},{7,7,290},{7,7,218},{6,7,64},{6,7,16},{7,7,290},{7,7,338},{6,7,16},{0,7,576},{7,7,338},{0,7,576},{4,0,2777},{4,0,2777},{4,0,2777},{4,0,2777},{3,7,136},{3,7,136},{3,7,136},{3,5,200},{0,7,45},{0,7,45},{5,7,9269},{5,7,7377},{4,7,6146},
{4,7,3506},{5,7,10044},{4,7,4211},{3,7,1964},{3,7,836},{3,7,9185},{0,7,477},{6,7,2241},{6,7,1617},{6,7,1217},{5,7,265},{6,7,3780},{5,7,2064},{4,7,890},{1,7,257},{5,7,3780},{1,7,257},{4,7,6146},{4,7,6146},{4,7,6146},{4,7,3506},{4,7,4826},{3,7,1964},{3,7,1964},{3,6,337},{2,7,4590},{0,7,477},{6,7,1217},{6,7,1217},{6,7,1217},{5,7,265},{7,4,2178},
{4,7,890},{4,7,890},{1,7,257},{7,5,2178},{1,7,257},{7,7,146},{7,7,74},{7,7,25},{6,7,16},{7,7,146},{7,7,130},{6,7,16},{0,7,256},{7,7,130},{0,7,256},{4,0,2665},{4,0,2665},{4,0,2665},{4,0,2665},{3,7,200},{3,7,200},{3,7,200},{3,6,13},{0,7,221},{0,7,221},{5,7,8997},{5,7,7105},{5,7,6081},{4,7,4178},{5,7,9276},{4,7,4179},{4,7,2154},
{3,7,356},{3,7,8721},{1,7,209},{6,7,2129},{6,7,1505},{6,7,1105},{6,7,673},{7,6,3332},{5,7,2000},{5,7,976},{2,7,73},{7,6,3300},{2,7,73},{5,7,6081},{5,7,6081},{5,7,6081},{4,7,4178},{4,7,5274},{4,7,2154},{4,7,2154},{3,7,356},{2,7,4878},{1,7,209},{6,7,1105},{6,7,1105},{6,7,1105},{6,7,673},{7,5,2210},{5,7,976},{5,7,976},{2,7,73},{6,6,2178},
{2,7,73},{7,7,130},{7,7,58},{7,7,9},{7,7,1},{7,7,130},{7,7,50},{7,7,1},{0,7,64},{7,7,50},{0,7,64},{4,0,2809},{4,0,2809},{4,0,2809},{4,0,2809},{3,7,520},{3,7,520},{3,7,520},{3,6,61},{1,7,145},{1,7,145},{5,7,9109},{5,7,7217},{5,7,6193},{5,7,4301},{5,7,8892},{4,7,4531},{4,7,2506},{3,7,260},{4,7,8587},{1,7,289},{6,7,2273},
{6,7,1649},{6,7,1249},{6,7,625},{7,6,2916},{6,7,1956},{5,7,1168},{2,7,25},{6,7,2916},{2,7,25},{5,7,6193},{5,7,6193},{5,7,6193},{5,7,4301},{5,7,5976},{4,7,2506},{4,7,2506},{3,7,260},{3,7,5277},{1,7,289},{6,7,1249},{6,7,1249},{6,7,1249},{6,7,625},{6,7,2180},{5,7,1168},{5,7,1168},{2,7,25},{5,7,2180},{2,7,25},{7,7,242},{7,7,170},{7,7,121},
{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,3209},{4,0,3209},{4,0,3209},{4,0,3209},{4,7,481},{4,7,481},{4,7,481},{3,7,260},{1,7,289},{1,7,289},{6,7,8325},{5,7,6749},{5,7,5725},{5,7,3833},{5,7,7866},{5,7,4082},{4,7,2470},{4,7,265},{4,7,7219},{2,7,365},{7,7,1842},{6,7,1460},{6,7,1060},{6,7,436},{7,6,2241},
{6,7,1425},{6,7,1025},{3,7,1},{6,7,2169},{3,7,1},{5,7,5725},{5,7,5725},{5,7,5725},{5,7,3833},{5,7,4950},{4,7,2470},{4,7,2470},{4,7,265},{3,7,4521},{2,7,365},{6,7,1060},{6,7,1060},{6,7,1060},{6,7,436},{6,7,1649},{6,7,1025},{6,7,1025},{3,7,1},{7,6,1625},{3,7,1},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},
{0,7,0},{7,7,98},{0,7,0},{5,0,2809},{5,0,2809},{5,0,2809},{5,0,2809},{4,7,445},{4,7,445},{4,7,445},{4,6,202},{2,7,365},{2,7,365},{6,7,7093},{6,7,6469},{5,7,5581},{5,7,3689},{5,7,7226},{5,7,3442},{5,7,2418},{4,7,25},{4,7,6275},{2,7,509},{7,7,1266},{7,7,1194},{6,7,1028},{6,7,404},{7,7,1686},{6,7,1089},{6,7,689},{4,7,16},{6,7,1641},
{4,7,16},{5,7,5581},{5,7,5581},{5,7,5581},{5,7,3689},{5,7,4310},{5,7,2418},{5,7,2418},{4,7,25},{3,7,4121},{2,7,509},{6,7,1028},{6,7,1028},{6,7,1028},{6,7,404},{7,6,1201},{6,7,689},{6,7,689},{4,7,16},{7,6,1225},{4,7,16},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,2665},
{5,0,2665},{5,0,2665},{5,0,2665},{4,7,685},{4,7,685},{4,7,685},{4,7,25},{2,7,509},{2,7,509},{6,7,6117},{6,7,5493},{6,7,5093},{5,7,3801},{6,7,6098},{5,7,3058},{5,7,2034},{4,7,41},{4,7,5587},{3,7,613},{7,7,818},{7,7,746},{7,7,697},{6,7,500},{7,7,1142},{6,7,881},{6,7,481},{4,7,16},{6,7,1241},{4,7,16},{6,7,5093},{6,7,5093},{6,7,5093},
{5,7,3801},{5,7,3926},{5,7,2034},{5,7,2034},{4,7,41},{4,7,3562},{3,7,613},{7,7,697},{7,7,697},{7,7,697},{6,7,500},{7,6,865},{6,7,481},{6,7,481},{4,7,16},{6,7,841},{4,7,16},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,2777},{5,0,2777},{5,0,2777},{5,0,2777},{5,7,1010},
{5,7,1010},{5,7,1010},{4,7,41},{3,7,613},{3,7,613},{6,7,5397},{6,7,4773},{6,7,4373},{6,7,3749},{6,7,5074},{5,7,2930},{5,7,1906},{4,7,313},{5,7,4753},{3,7,725},{7,7,498},{7,7,426},{7,7,377},{7,7,305},{7,7,726},{7,7,582},{6,7,401},{5,7,1},{7,7,774},{5,7,1},{6,7,4373},{6,7,4373},{6,7,4373},{6,7,3749},{5,7,3798},{5,7,1906},{5,7,1906},
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{3,7,725},{1,7,34142},{0,7,5184},{0,5,609},{0,5,4841},{1,7,46442},{0,7,24449},{0,5,9741},{0,4,24761},{0,5,65162},{0,3,40820},{0,7,10048},{0,7,2880},{0,5,545},{0,4,3204},{1,4,18070},{0,4,13297},{0,4,6453},{0,2,13857},{2,2,18070},{0,2,13857},{0,3,9},{0,3,9},{0,3,9},{0,2,36},{0,1,1145},{0,1,617},{0,1,617},{0,1,977},{0,0,1505},{0,0,1036},{0,3,9},
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{2,7,5667},{1,7,522},{1,7,1306},{6,1,22571},{0,7,12404},{0,6,2678},{0,5,12453},{4,4,22571},{0,5,12453},{1,7,1678},{1,7,1678},{1,7,1678},{1,5,1301},{0,7,4468},{0,5,1170},{0,5,1170},{0,3,1285},{0,3,6866},{0,3,3221},{1,7,522},{1,7,522},{1,7,522},{1,5,145},{4,0,4420},{0,5,1170},{0,5,1170},{0,3,1285},{3,2,4420},{0,3,1285},{6,5,6964},{3,7,3848},{2,7,1},
{0,7,484},{6,5,6964},{3,7,6964},{0,7,484},{0,5,7124},{3,7,6964},{0,5,7124},{1,0,1237},{1,0,1237},{1,0,1237},{1,0,1237},{0,3,1},{0,3,1},{0,3,1},{0,2,100},{0,1,505},{0,1,505},{2,7,65535},{1,7,41449},{0,7,5305},{0,7,2873},{2,7,65535},{1,7,44997},{0,7,2018},{0,6,18801},{0,7,65535},{0,6,52421},{3,7,11885},{2,7,5361},{2,7,320},{1,7,1000},{5,3,20645},
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{0,5,6305},{5,6,5941},{0,5,6305},{1,0,1480},{1,0,1480},{1,0,1480},{1,0,1480},{0,4,25},{0,4,25},{0,4,25},{0,2,1},{0,1,802},{0,1,802},{2,7,65535},{1,7,42345},{0,7,7081},{0,7,3625},{2,7,65535},{1,7,43685},{0,7,1250},{0,6,16353},{0,7,65535},{0,6,49973},{3,7,11005},{3,7,5153},{2,7,320},{2,7,964},{7,0,19026},{1,7,10349},{0,7,1250},{0,5,8849},{3,5,19026},
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{1,7,2412},{0,7,5218},{0,7,738},{0,7,738},{0,4,810},{0,4,8467},{0,3,3821},{2,7,576},{2,7,576},{2,7,576},{2,6,1},{4,2,4420},{0,7,738},{0,7,738},{0,4,810},{5,2,4420},{0,4,810},{6,6,4329},{4,7,2349},{3,7,9},{0,7,9},{6,6,4329},{4,7,4329},{0,7,9},{0,6,4637},{4,7,4329},{0,6,4637},{1,0,2312},{1,0,2312},{1,0,2312},{1,0,2312},{0,5,4},
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{0,7,9433},{2,7,65535},{1,7,40979},{0,7,788},{0,6,8961},{0,7,65535},{0,6,42581},{4,7,7523},{4,7,3923},{3,7,865},{3,7,181},{7,2,13243},{2,7,7075},{1,7,754},{0,6,4337},{5,5,13243},{0,6,4337},{2,7,7650},{2,7,7650},{2,7,7650},{1,7,4862},{1,7,6726},{0,7,788},{0,7,788},{0,5,529},{0,5,10470},{0,4,4409},{3,7,865},{3,7,865},{3,7,865},{3,7,181},{5,2,4426},
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{0,7,6964},{0,7,65535},{0,6,41445},{4,7,7075},{4,7,3475},{3,7,1297},{3,7,5},{6,4,12051},{2,7,6531},{1,7,754},{0,6,3201},{7,4,12051},{0,6,3201},{2,7,8962},{2,7,8962},{2,7,8962},{2,7,5834},{1,7,7622},{0,7,1332},{0,7,1332},{0,5,289},{0,6,11342},{0,4,5049},{3,7,1297},{3,7,1297},{3,7,1297},{3,7,5},{6,1,4426},{1,7,754},{1,7,754},{0,5,289},{6,3,4426},
{0,5,289},{6,7,1808},{5,7,1060},{5,7,36},{3,7,4},{6,7,1808},{7,6,1808},{3,7,4},{0,6,1832},{7,6,1808},{0,6,1832},{1,0,5645},{1,0,5645},{1,0,5645},{1,0,5645},{0,7,36},{0,7,36},{0,7,36},{0,4,36},{0,3,2665},{0,3,2665},{2,7,65535},{1,7,53419},{1,7,18974},{1,7,12366},{2,7,65535},{1,7,41235},{0,7,2132},{0,7,5204},{0,7,65535},{0,6,40565},{5,7,6641},
{4,7,3283},{4,7,1258},{3,7,85},{5,6,10952},{3,7,5900},{1,7,1010},{0,6,2321},{4,6,10952},{0,6,2321},{2,7,10530},{2,7,10530},{2,7,10530},{2,7,6666},{1,7,8774},{0,7,2132},{0,7,2132},{0,5,305},{0,6,11790},{0,5,5205},{4,7,1258},{4,7,1258},{4,7,1258},{3,7,85},{7,0,4420},{1,7,1010},{1,7,1010},{0,5,305},{3,5,4420},{0,5,305},{7,6,1360},{6,7,800},{5,7,4},
{3,7,36},{7,6,1360},{7,6,1360},{3,7,36},{0,6,1480},{7,6,1360},{0,6,1480},{2,0,6305},{2,0,6305},{2,0,6305},{2,0,6305},{0,7,196},{0,7,196},{0,7,196},{0,5,49},{0,3,3161},{0,3,3161},{2,7,65535},{2,7,56301},{1,7,22052},{1,7,14436},{2,7,65535},{1,7,41829},{0,7,3338},{0,7,3530},{0,7,65535},{0,6,39881},{5,7,5741},{4,7,3373},{4,7,1348},{4,7,328},{7,3,9830},
{3,7,5270},{2,7,1184},{0,6,1637},{6,5,9830},{0,6,1637},{2,7,12600},{2,7,12600},{2,7,12600},{2,7,7908},{1,7,10376},{1,7,2760},{1,7,2760},{0,6,481},{0,6,12600},{0,5,5529},{4,7,1348},{4,7,1348},{4,7,1348},{4,7,328},{7,1,4426},{2,7,1184},{2,7,1184},{0,6,481},{7,3,4426},{0,6,481},{7,6,937},{6,7,521},{5,7,121},{4,7,4},{7,6,937},{6,7,929},{4,7,4},
{0,6,1237},{6,7,929},{0,6,1237},{2,0,7124},{2,0,7124},{2,0,7124},{2,0,7124},{0,7,529},{0,7,529},{0,7,529},{0,5,4},{0,4,3778},{0,4,3778},{2,7,65535},{2,7,58413},{1,7,25060},{1,7,16548},{2,7,65535},{1,7,42629},{0,7,4682},{0,7,2314},{0,7,65535},{0,6,39545},{5,7,5213},{5,7,3321},{4,7,1700},{4,7,200},{5,7,8902},{3,7,4982},{2,7,1440},{0,6,1301},{5,6,8902},
{0,6,1301},{3,7,14701},{3,7,14701},{3,7,14701},{2,7,9284},{2,7,11492},{1,7,3560},{1,7,3560},{0,6,145},{0,6,13592},{0,5,6089},{4,7,1700},{4,7,1700},{4,7,1700},{4,7,200},{6,3,4420},{2,7,1440},{2,7,1440},{0,6,145},{6,4,4420},{0,6,145},{7,6,697},{6,7,409},{6,7,9},{5,7,9},{7,6,697},{6,7,625},{5,7,9},{0,6,1157},{6,7,625},{0,6,1157},{2,0,7988},
{2,0,7988},{2,0,7988},{2,0,7988},{0,7,961},{0,7,961},{0,7,961},{0,5,100},{0,4,4210},{0,4,4210},{3,7,65535},{2,7,60781},{1,7,28324},{1,7,18916},{2,7,65535},{1,7,43685},{0,7,6282},{0,7,1354},{0,7,65535},{0,6,39465},{5,7,4941},{5,7,3049},{5,7,2025},{4,7,328},{7,4,8069},{4,7,4465},{3,7,1586},{0,6,1221},{7,5,8069},{0,6,1221},{3,7,16189},{3,7,16189},{3,7,16189},
{2,7,10916},{2,7,12740},{1,7,4616},{1,7,4616},{0,6,65},{0,7,14411},{0,6,6789},{5,7,2025},{5,7,2025},{5,7,2025},{4,7,328},{7,2,4420},{3,7,1586},{3,7,1586},{0,6,65},{5,5,4420},{0,6,65},{7,7,377},{7,7,305},{6,7,25},{5,7,25},{7,7,377},{6,7,449},{5,7,25},{0,7,729},{6,7,449},{0,7,729},{2,0,8980},{2,0,8980},{2,0,8980},{2,0,8980},{1,7,1480},
{1,7,1480},{1,7,1480},{0,6,16},{0,4,4770},{0,4,4770},{3,7,65535},{2,7,59505},{1,7,29984},{1,7,19680},{2,7,65535},{1,7,43137},{0,7,8318},{0,7,830},{0,7,65535},{0,6,34901},{5,7,4925},{5,7,3033},{5,7,2009},{4,7,712},{6,6,7325},{4,7,4145},{3,7,1810},{0,7,650},{4,7,7325},{0,7,650},{3,7,16745},{3,7,16745},{3,7,16745},{2,7,12024},{2,7,13464},{1,7,5556},{1,7,5556},
{0,6,277},{0,7,14139},{0,6,6017},{5,7,2009},{5,7,2009},{5,7,2009},{4,7,712},{5,6,4418},{3,7,1810},{3,7,1810},{0,6,241},{4,6,4418},{0,6,241},{7,7,185},{7,7,113},{7,7,64},{6,7,1},{7,7,185},{7,7,193},{6,7,1},{0,7,361},{7,7,193},{0,7,361},{2,0,9320},{2,0,9320},{2,0,9320},{2,0,9320},{1,7,1460},{1,7,1460},{1,7,1460},{0,6,52},{0,5,4772},
{0,5,4772},{3,7,65535},{2,7,57588},{1,7,32135},{1,7,20823},{3,7,65535},{1,7,42804},{1,7,8359},{0,7,1289},{0,7,65535},{0,6,28970},{6,7,4317},{5,7,3321},{5,7,2297},{5,7,845},{7,5,6587},{5,7,4008},{4,7,2066},{0,7,164},{6,6,6611},{0,7,164},{3,7,17366},{3,7,17366},{3,7,17366},{3,7,12274},{2,7,14427},{2,7,6699},{2,7,6699},{0,7,389},{0,7,13860},{0,6,5234},{5,7,2297},
{5,7,2297},{5,7,2297},{5,7,845},{6,5,4420},{4,7,2066},{4,7,2066},{0,7,164},{3,7,4420},{0,7,164},{7,7,122},{7,7,50},{7,7,1},{7,7,9},{7,7,122},{7,7,58},{7,7,9},{0,7,100},{7,7,58},{0,7,100},{2,0,9698},{2,0,9698},{2,0,9698},{2,0,9698},{1,7,1586},{1,7,1586},{1,7,1586},{0,7,289},{0,5,4250},{0,5,4250},{3,7,65535},{2,7,56836},{2,7,31631},
{1,7,22791},{3,7,65535},{2,7,40532},{1,7,9015},{1,7,778},{0,7,65535},{0,6,24650},{6,7,3949},{6,7,3325},{5,7,2825},{5,7,1021},{6,7,6020},{5,7,3688},{4,7,2290},{0,7,4},{5,7,6020},{0,7,4},{3,7,18326},{3,7,18326},{3,7,18326},{3,7,12626},{3,7,15077},{2,7,7227},{2,7,7227},{1,7,294},{0,7,14020},{0,6,4946},{5,7,2825},{5,7,2825},{5,7,2825},{5,7,1021},{7,4,4418},
{4,7,2290},{4,7,2290},{0,7,4},{7,5,4418},{0,7,4},{7,7,202},{7,7,130},{7,7,81},{7,7,25},{7,7,202},{7,7,74},{7,7,25},{0,7,4},{7,7,74},{0,7,4},{3,0,9490},{3,0,9490},{3,0,9490},{3,0,9490},{1,7,1970},{1,7,1970},{1,7,1970},{1,6,202},{0,6,3922},{0,6,3922},{3,7,65535},{3,7,55466},{2,7,30335},{2,7,21687},{3,7,65535},{2,7,37932},{1,7,9535},
{1,7,70},{0,7,65535},{0,7,20544},{6,7,3417},{6,7,2793},{6,7,2393},{5,7,1033},{6,7,5184},{5,7,3204},{5,7,2180},{1,7,25},{7,6,5168},{1,7,25},{4,7,17611},{4,7,17611},{4,7,17611},{3,7,12630},{3,7,14321},{2,7,7251},{2,7,7251},{1,7,34},{0,7,13376},{0,7,4160},{6,7,2393},{6,7,2393},{6,7,2393},{5,7,1033},{6,6,3874},{5,7,2180},{5,7,2180},{1,7,25},{4,7,3874},
{1,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{3,0,9266},{3,0,9266},{3,0,9266},{3,0,9266},{2,7,2210},{2,7,2210},{2,7,2210},{1,7,34},{0,6,3442},{0,6,3442},{3,7,65535},{3,7,51210},{2,7,29343},{2,7,20695},{3,7,65535},{2,7,35820},{1,7,10495},{1,7,134},{1,7,65535},{0,7,15936},{6,7,2889},
{6,7,2265},{6,7,1865},{5,7,1049},{7,6,4288},{5,7,2724},{5,7,1700},{1,7,9},{7,6,4272},{1,7,9},{4,7,16555},{4,7,16555},{4,7,16555},{3,7,12662},{3,7,13441},{2,7,7251},{2,7,7251},{1,7,34},{0,7,12608},{0,7,3392},{6,7,1865},{6,7,1865},{6,7,1865},{5,7,1049},{7,5,3218},{5,7,1700},{5,7,1700},{1,7,9},{6,6,3202},{1,7,9},{7,7,242},{7,7,170},{7,7,121},
{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{3,0,9298},{3,0,9298},{3,0,9298},{3,0,9298},{2,7,2210},{2,7,2210},{2,7,2210},{1,7,34},{0,6,3218},{0,6,3218},{4,7,65535},{3,7,47340},{2,7,29145},{2,7,20497},{3,7,65535},{2,7,34362},{2,7,9157},{1,7,1124},{1,7,64598},{0,7,11670},{6,7,2448},{6,7,1824},{6,7,1424},{6,7,800},{7,6,3361},
{6,7,2321},{5,7,1313},{2,7,0},{6,7,3401},{2,7,0},{4,7,15673},{4,7,15673},{4,7,15673},{4,7,12073},{3,7,12757},{3,7,6905},{3,7,6905},{1,7,340},{1,7,11657},{0,7,2834},{6,7,1424},{6,7,1424},{6,7,1424},{6,7,800},{7,5,2525},{5,7,1313},{5,7,1313},{2,7,0},{5,7,2545},{2,7,0},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},
{0,7,0},{7,7,98},{0,7,0},{3,0,9640},{3,0,9640},{3,0,9640},{3,0,9640},{2,7,2516},{2,7,2516},{2,7,2516},{1,7,340},{0,7,2834},{0,7,2834},{4,7,65535},{3,7,44716},{3,7,27896},{2,7,21137},{4,7,65535},{3,7,31853},{2,7,8677},{2,7,784},{1,7,59734},{0,7,8694},{6,7,2192},{6,7,1568},{6,7,1168},{6,7,544},{7,6,2673},{6,7,1761},{5,7,1105},{3,7,25},{6,7,2649},
{3,7,25},{4,7,15161},{4,7,15161},{4,7,15161},{4,7,11561},{4,7,12169},{3,7,6569},{3,7,6569},{2,7,208},{1,7,10889},{0,7,2610},{6,7,1168},{6,7,1168},{6,7,1168},{6,7,544},{6,7,1985},{5,7,1105},{5,7,1105},{3,7,25},{5,7,1985},{3,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,9536},
{4,0,9536},{4,0,9536},{4,0,9536},{2,7,3060},{2,7,3060},{2,7,3060},{2,7,208},{0,7,2610},{0,7,2610},{4,7,63766},{3,7,42860},{3,7,26040},{3,7,20188},{4,7,60070},{3,7,29085},{2,7,8965},{2,7,336},{1,7,55638},{0,7,6486},{7,7,1686},{6,7,1440},{6,7,1040},{6,7,416},{7,6,2113},{6,7,1329},{6,7,929},{3,7,9},{6,7,2025},{3,7,9},{4,7,14905},{4,7,14905},{4,7,14905},
{4,7,11305},{4,7,11209},{3,7,6489},{3,7,6489},{2,7,272},{1,7,10377},{0,7,2642},{6,7,1040},{6,7,1040},{6,7,1040},{6,7,416},{7,6,1537},{6,7,929},{6,7,929},{3,7,9},{7,6,1513},{3,7,9},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,9280},{4,0,9280},{4,0,9280},{4,0,9280},{3,7,3125},
{3,7,3125},{3,7,3125},{2,7,272},{0,7,2642},{0,7,2642},{4,7,59414},{4,7,41414},{3,7,24952},{3,7,19100},{4,7,55014},{3,7,27085},{2,7,10021},{2,7,656},{1,7,52310},{0,7,5046},{7,7,1142},{7,7,1070},{7,7,1021},{6,7,416},{7,7,1538},{6,7,1025},{6,7,625},{4,7,4},{6,7,1529},{4,7,4},{5,7,13964},{5,7,13964},{5,7,13964},{4,7,11305},{4,7,10505},{3,7,6665},{3,7,6665},
{2,7,592},{2,7,9973},{0,7,2930},{7,7,1021},{7,7,1021},{7,7,1021},{6,7,416},{7,6,1105},{6,7,625},{6,7,625},{4,7,4},{6,7,1129},{4,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,9280},{4,0,9280},{4,0,9280},{4,0,9280},{3,7,3301},{3,7,3301},{3,7,3301},{2,7,592},{0,7,2930},
{0,7,2930},
/**** ended inlining basisu_transcoder_tables_pvrtc2_alpha_33.inc ****/
};
#endif
#endif
static const etc1s_to_atc_solution g_etc1s_to_atc_55[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_atc_55.inc ****/
{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{0,1,52},{0,0,68},{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{1,0,35},{0,1,61},{0,1,1},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{1,0,18},{0,1,10},{0,1,1},{0,1,9},{1,0,18},{0,1,18},{0,1,9},{0,1,36},{0,1,18},{0,1,36},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,4,56},{0,3,38},{0,2,52},
{0,2,36},{0,4,56},{0,3,35},{0,2,0},{0,2,52},{0,2,88},{0,1,78},{1,3,24},{1,2,14},{1,2,5},{1,2,13},{1,2,51},{0,3,35},{0,2,0},{0,2,52},{2,1,51},{0,2,52},{0,3,37},{0,3,37},{0,3,37},{0,2,36},{0,3,10},{0,2,0},{0,2,0},{0,1,5},{0,1,35},{0,1,14},{1,2,5},{1,2,5},{1,2,5},{1,1,8},{1,1,8},
{0,2,0},{0,2,0},{0,1,5},{1,1,8},{0,1,5},{2,1,18},{0,3,2},{1,2,1},{0,2,0},{2,1,18},{1,2,18},{0,2,0},{0,2,36},{1,2,18},{0,2,36},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{1,5,56},{1,4,38},{1,3,52},{1,3,36},{1,5,56},{1,4,35},{1,3,0},
{1,3,52},{0,4,72},{0,3,38},{2,4,24},{2,3,14},{2,3,5},{2,3,13},{2,3,51},{0,4,24},{1,3,0},{0,3,37},{3,2,51},{0,3,37},{1,4,37},{1,4,37},{1,4,37},{1,3,36},{1,4,10},{1,3,0},{1,3,0},{1,2,5},{0,3,11},{1,2,14},{2,3,5},{2,3,5},{2,3,5},{2,2,8},{2,2,8},{1,3,0},{1,3,0},{1,2,5},{2,2,8},
{1,2,5},{3,2,18},{1,4,2},{2,3,1},{1,3,0},{3,2,18},{7,0,18},{1,3,0},{0,3,36},{7,0,18},{0,3,36},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,3,0},{1,3,0},{1,3,0},{1,2,1},{0,3,2},{0,3,2},{2,6,56},{2,5,38},{2,4,53},{2,4,37},{2,6,56},{2,5,35},{2,4,1},{2,4,66},{0,5,60},{1,4,52},{3,5,24},
{3,4,14},{3,4,6},{3,4,14},{3,4,51},{1,5,24},{2,4,1},{1,4,51},{9,0,51},{1,4,51},{2,5,37},{2,5,37},{2,5,37},{2,4,36},{2,5,10},{2,4,0},{2,4,0},{2,3,5},{1,4,11},{2,3,14},{3,4,5},{3,4,5},{3,4,5},{3,3,8},{3,3,8},{2,4,0},{2,4,0},{2,3,5},{8,0,8},{2,3,5},{4,3,18},{2,5,2},{3,4,2},
{2,4,1},{4,3,18},{8,1,18},{2,4,1},{0,4,50},{8,1,18},{0,4,50},{2,0,36},{2,0,36},{2,0,36},{2,0,36},{2,4,0},{2,4,0},{2,4,0},{2,3,1},{1,4,2},{1,4,2},{3,8,70},{3,6,58},{4,5,69},{3,5,51},{3,7,52},{3,6,25},{3,5,3},{3,5,46},{2,6,60},{2,5,36},{4,6,24},{4,5,14},{4,5,5},{4,5,13},{6,2,51},
{3,6,24},{3,5,2},{2,5,36},{7,3,51},{2,5,36},{3,7,51},{3,7,51},{3,7,51},{3,5,51},{3,6,9},{3,5,3},{3,5,3},{3,4,9},{1,6,12},{3,4,12},{4,5,5},{4,5,5},{4,5,5},{4,4,8},{6,1,8},{3,5,2},{3,5,2},{3,4,8},{11,0,8},{3,4,8},{7,1,18},{3,6,8},{4,5,1},{3,5,1},{7,1,18},{11,1,18},{3,5,1},
{0,5,36},{11,1,18},{0,5,36},{3,0,50},{3,0,50},{3,0,50},{3,0,50},{3,5,2},{3,5,2},{3,5,2},{3,4,5},{2,5,0},{2,5,0},{4,8,56},{4,7,38},{4,6,52},{4,6,36},{4,8,56},{4,7,35},{4,6,0},{4,6,52},{3,7,60},{3,6,36},{5,7,24},{5,6,14},{5,6,5},{5,6,13},{8,1,51},{3,7,35},{4,6,0},{3,6,36},{6,5,51},
{3,6,36},{4,7,37},{4,7,37},{4,7,37},{4,6,36},{4,7,10},{4,6,0},{4,6,0},{4,5,5},{2,7,12},{4,5,14},{5,6,5},{5,6,5},{5,6,5},{5,5,8},{8,0,8},{4,6,0},{4,6,0},{4,5,5},{5,5,8},{4,5,5},{9,0,18},{4,7,2},{5,6,1},{4,6,0},{9,0,18},{15,0,18},{4,6,0},{0,6,36},{15,0,18},{0,6,36},{4,0,36},
{4,0,36},{4,0,36},{4,0,36},{4,6,0},{4,6,0},{4,6,0},{4,5,1},{3,6,0},{3,6,0},{5,9,56},{5,8,38},{5,7,52},{5,7,36},{5,9,56},{5,8,35},{5,7,0},{5,7,52},{3,8,63},{4,7,38},{6,8,24},{6,7,14},{6,7,5},{6,7,13},{9,2,51},{4,8,24},{5,7,0},{4,7,37},{17,0,51},{4,7,37},{5,8,37},{5,8,37},{5,8,37},
{5,7,36},{5,8,10},{5,7,0},{5,7,0},{5,6,5},{4,7,11},{5,6,14},{6,7,5},{6,7,5},{6,7,5},{6,6,8},{9,1,8},{5,7,0},{5,7,0},{5,6,5},{16,0,8},{5,6,5},{10,1,18},{5,8,2},{6,7,1},{5,7,0},{10,1,18},{16,1,18},{5,7,0},{0,7,36},{16,1,18},{0,7,36},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,7,0},
{5,7,0},{5,7,0},{5,6,1},{4,7,2},{4,7,2},{6,10,56},{6,9,38},{6,8,53},{6,8,37},{6,10,56},{6,9,35},{6,8,1},{6,8,66},{4,9,60},{5,8,52},{7,9,24},{7,8,14},{7,8,6},{7,8,14},{10,3,51},{5,9,24},{6,8,1},{5,8,51},{18,1,51},{5,8,51},{6,9,37},{6,9,37},{6,9,37},{6,8,36},{6,9,10},{6,8,0},{6,8,0},
{6,7,5},{5,8,11},{6,7,14},{7,8,5},{7,8,5},{7,8,5},{7,7,8},{10,2,8},{6,8,0},{6,8,0},{6,7,5},{17,1,8},{6,7,5},{11,2,18},{6,9,2},{7,8,2},{6,8,1},{11,2,18},{17,2,18},{6,8,1},{0,8,50},{17,2,18},{0,8,50},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,8,0},{6,8,0},{6,8,0},{6,7,1},{5,8,2},
{5,8,2},{7,12,70},{7,10,58},{8,9,69},{7,9,51},{7,11,52},{7,10,25},{7,9,3},{7,9,46},{6,10,60},{6,9,36},{8,10,24},{8,9,14},{8,9,5},{8,9,13},{13,1,51},{7,10,24},{7,9,2},{6,9,36},{21,1,51},{6,9,36},{7,11,51},{7,11,51},{7,11,51},{7,9,51},{7,10,9},{7,9,3},{7,9,3},{7,8,9},{5,10,12},{7,8,12},{8,9,5},
{8,9,5},{8,9,5},{8,8,8},{13,0,8},{7,9,2},{7,9,2},{7,8,8},{20,1,8},{7,8,8},{14,0,18},{7,10,8},{8,9,1},{7,9,1},{14,0,18},{20,2,18},{7,9,1},{0,9,36},{20,2,18},{0,9,36},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,9,2},{7,9,2},{7,9,2},{7,8,5},{6,9,0},{6,9,0},{8,12,56},{8,11,38},{8,10,52},
{8,10,36},{8,12,56},{8,11,35},{8,10,0},{8,10,52},{7,11,60},{7,10,36},{9,11,24},{9,10,14},{9,10,5},{9,10,13},{14,2,51},{7,11,35},{8,10,0},{7,10,36},{25,0,51},{7,10,36},{8,11,37},{8,11,37},{8,11,37},{8,10,36},{8,11,10},{8,10,0},{8,10,0},{8,9,5},{6,11,12},{8,9,14},{9,10,5},{9,10,5},{9,10,5},{9,9,8},{14,1,8},
{8,10,0},{8,10,0},{8,9,5},{24,0,8},{8,9,5},{15,1,18},{8,11,2},{9,10,1},{8,10,0},{15,1,18},{24,1,18},{8,10,0},{0,10,36},{24,1,18},{0,10,36},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,10,0},{8,10,0},{8,10,0},{8,9,1},{7,10,0},{7,10,0},{9,13,56},{9,12,38},{9,11,52},{9,11,36},{9,13,56},{9,12,35},{9,11,0},
{9,11,52},{7,12,63},{8,11,38},{10,12,24},{10,11,14},{10,11,5},{10,11,13},{16,1,51},{8,12,24},{9,11,0},{8,11,37},{26,1,51},{8,11,37},{9,12,37},{9,12,37},{9,12,37},{9,11,36},{9,12,10},{9,11,0},{9,11,0},{9,10,5},{8,11,11},{9,10,14},{10,11,5},{10,11,5},{10,11,5},{10,10,8},{16,0,8},{9,11,0},{9,11,0},{9,10,5},{25,1,8},
{9,10,5},{17,0,18},{9,12,2},{10,11,1},{9,11,0},{17,0,18},{25,2,18},{9,11,0},{0,11,36},{25,2,18},{0,11,36},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,11,0},{9,11,0},{9,11,0},{9,10,1},{8,11,2},{8,11,2},{10,14,56},{10,13,38},{10,12,53},{10,12,37},{10,14,56},{10,13,35},{10,12,1},{10,12,66},{8,13,60},{9,12,52},{11,13,24},
{11,12,14},{11,12,6},{11,12,14},{17,2,51},{9,13,24},{10,12,1},{9,12,51},{27,2,51},{9,12,51},{10,13,37},{10,13,37},{10,13,37},{10,12,36},{10,13,10},{10,12,0},{10,12,0},{10,11,5},{9,12,11},{10,11,14},{11,12,5},{11,12,5},{11,12,5},{11,11,8},{17,1,8},{10,12,0},{10,12,0},{10,11,5},{26,2,8},{10,11,5},{18,1,18},{10,13,2},{11,12,2},
{10,12,1},{18,1,18},{31,0,18},{10,12,1},{0,12,50},{31,0,18},{0,12,50},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,12,0},{10,12,0},{10,12,0},{10,11,1},{9,12,2},{9,12,2},{11,16,70},{11,14,58},{12,13,69},{11,13,51},{11,15,52},{11,14,25},{11,13,3},{11,13,46},{10,14,60},{10,13,36},{12,14,24},{12,13,14},{12,13,5},{12,13,13},{17,5,51},
{11,14,24},{11,13,2},{10,13,36},{30,2,51},{10,13,36},{11,15,51},{11,15,51},{11,15,51},{11,13,51},{11,14,9},{11,13,3},{11,13,3},{11,12,9},{9,14,12},{11,12,12},{12,13,5},{12,13,5},{12,13,5},{12,12,8},{17,4,8},{11,13,2},{11,13,2},{11,12,8},{29,2,8},{11,12,8},{18,4,18},{11,14,8},{12,13,1},{11,13,1},{18,4,18},{29,3,18},{11,13,1},
{0,13,36},{29,3,18},{0,13,36},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,13,2},{11,13,2},{11,13,2},{11,12,5},{10,13,0},{10,13,0},{12,16,56},{12,15,38},{12,14,52},{12,14,36},{12,16,56},{12,15,35},{12,14,0},{12,14,52},{11,15,60},{11,14,36},{13,15,24},{13,14,14},{13,14,5},{13,14,13},{18,6,51},{11,15,35},{12,14,0},{11,14,36},{31,3,51},
{11,14,36},{12,15,37},{12,15,37},{12,15,37},{12,14,36},{12,15,10},{12,14,0},{12,14,0},{12,13,5},{10,15,12},{12,13,14},{13,14,5},{13,14,5},{13,14,5},{13,13,8},{18,5,8},{12,14,0},{12,14,0},{12,13,5},{30,3,8},{12,13,5},{20,3,18},{12,15,2},{13,14,1},{12,14,0},{20,3,18},{28,5,18},{12,14,0},{0,14,36},{28,5,18},{0,14,36},{12,0,36},
{12,0,36},{12,0,36},{12,0,36},{12,14,0},{12,14,0},{12,14,0},{12,13,1},{11,14,0},{11,14,0},{13,17,56},{13,16,38},{13,15,52},{13,15,36},{13,17,56},{13,16,35},{13,15,0},{13,15,52},{11,16,63},{12,15,38},{14,16,24},{14,15,14},{14,15,5},{14,15,13},{23,0,51},{12,16,24},{13,15,0},{12,15,37},{30,5,51},{12,15,37},{13,16,37},{13,16,37},{13,16,37},
{13,15,36},{13,16,10},{13,15,0},{13,15,0},{13,14,5},{12,15,11},{13,14,14},{14,15,5},{14,15,5},{14,15,5},{14,14,8},{20,4,8},{13,15,0},{13,15,0},{13,14,5},{29,5,8},{13,14,5},{21,4,18},{13,16,2},{14,15,1},{13,15,0},{21,4,18},{29,6,18},{13,15,0},{0,15,36},{29,6,18},{0,15,36},{13,0,36},{13,0,36},{13,0,36},{13,0,36},{13,15,0},
{13,15,0},{13,15,0},{13,14,1},{12,15,2},{12,15,2},{14,18,56},{14,17,38},{14,16,53},{14,16,37},{14,18,56},{14,17,35},{14,16,1},{14,16,66},{12,17,60},{13,16,52},{15,17,24},{15,16,14},{15,16,6},{15,16,14},{24,1,51},{13,17,24},{14,16,1},{13,16,51},{31,6,51},{13,16,51},{14,17,37},{14,17,37},{14,17,37},{14,16,36},{14,17,10},{14,16,0},{14,16,0},
{14,15,5},{13,16,11},{14,15,14},{15,16,5},{15,16,5},{15,16,5},{15,15,8},{24,0,8},{14,16,0},{14,16,0},{14,15,5},{30,6,8},{14,15,5},{25,0,18},{14,17,2},{15,16,2},{14,16,1},{25,0,18},{30,7,18},{14,16,1},{0,16,50},{30,7,18},{0,16,50},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,16,0},{14,16,0},{14,16,0},{14,15,1},{13,16,2},
{13,16,2},{15,20,70},{15,18,58},{16,17,69},{15,17,51},{15,19,52},{15,18,25},{15,17,3},{15,17,46},{14,18,60},{14,17,36},{16,18,24},{16,17,14},{16,17,5},{16,17,13},{21,9,51},{15,18,24},{15,17,2},{14,17,36},{29,9,51},{14,17,36},{15,19,51},{15,19,51},{15,19,51},{15,17,51},{15,18,9},{15,17,3},{15,17,3},{15,16,9},{13,18,12},{15,16,12},{16,17,5},
{16,17,5},{16,17,5},{16,16,8},{24,3,8},{15,17,2},{15,17,2},{15,16,8},{28,9,8},{15,16,8},{25,3,18},{15,18,8},{16,17,1},{15,17,1},{25,3,18},{28,10,18},{15,17,1},{0,17,36},{28,10,18},{0,17,36},{15,0,50},{15,0,50},{15,0,50},{15,0,50},{15,17,2},{15,17,2},{15,17,2},{15,16,5},{14,17,0},{14,17,0},{16,20,56},{16,19,38},{16,18,52},
{16,18,36},{16,20,56},{16,19,35},{16,18,0},{16,18,52},{15,19,60},{15,18,36},{17,19,24},{17,18,14},{17,18,5},{17,18,13},{22,10,51},{15,19,35},{16,18,0},{15,18,36},{30,10,51},{15,18,36},{16,19,37},{16,19,37},{16,19,37},{16,18,36},{16,19,10},{16,18,0},{16,18,0},{16,17,5},{14,19,12},{16,17,14},{17,18,5},{17,18,5},{17,18,5},{17,17,8},{22,9,8},
{16,18,0},{16,18,0},{16,17,5},{29,10,8},{16,17,5},{24,7,18},{16,19,2},{17,18,1},{16,18,0},{24,7,18},{29,11,18},{16,18,0},{0,18,36},{29,11,18},{0,18,36},{16,0,36},{16,0,36},{16,0,36},{16,0,36},{16,18,0},{16,18,0},{16,18,0},{16,17,1},{15,18,0},{15,18,0},{17,21,56},{17,20,38},{17,19,52},{17,19,36},{17,21,56},{17,20,35},{17,19,0},
{17,19,52},{15,20,63},{16,19,38},{18,20,24},{18,19,14},{18,19,5},{18,19,13},{27,4,51},{16,20,24},{17,19,0},{16,19,37},{31,11,51},{16,19,37},{17,20,37},{17,20,37},{17,20,37},{17,19,36},{17,20,10},{17,19,0},{17,19,0},{17,18,5},{16,19,11},{17,18,14},{18,19,5},{18,19,5},{18,19,5},{18,18,8},{24,8,8},{17,19,0},{17,19,0},{17,18,5},{30,11,8},
{17,18,5},{28,3,18},{17,20,2},{18,19,1},{17,19,0},{28,3,18},{28,13,18},{17,19,0},{0,19,36},{28,13,18},{0,19,36},{17,0,36},{17,0,36},{17,0,36},{17,0,36},{17,19,0},{17,19,0},{17,19,0},{17,18,1},{16,19,2},{16,19,2},{18,22,56},{18,21,38},{18,20,53},{18,20,37},{18,22,56},{18,21,35},{18,20,1},{18,20,66},{16,21,60},{17,20,52},{19,21,24},
{19,20,14},{19,20,6},{19,20,14},{31,0,51},{17,21,24},{18,20,1},{17,20,51},{30,13,51},{17,20,51},{18,21,37},{18,21,37},{18,21,37},{18,20,36},{18,21,10},{18,20,0},{18,20,0},{18,19,5},{17,20,11},{18,19,14},{19,20,5},{19,20,5},{19,20,5},{19,19,8},{28,4,8},{18,20,0},{18,20,0},{18,19,5},{29,13,8},{18,19,5},{29,4,18},{18,21,2},{19,20,2},
{18,20,1},{29,4,18},{29,14,18},{18,20,1},{0,20,50},{29,14,18},{0,20,50},{18,0,36},{18,0,36},{18,0,36},{18,0,36},{18,20,0},{18,20,0},{18,20,0},{18,19,1},{17,20,2},{17,20,2},{19,24,70},{19,22,58},{20,21,69},{19,21,51},{19,23,52},{19,22,25},{19,21,3},{19,21,46},{18,22,60},{18,21,36},{20,22,24},{20,21,14},{20,21,5},{20,21,13},{31,3,51},
{19,22,24},{19,21,2},{18,21,36},{23,19,51},{18,21,36},{19,23,51},{19,23,51},{19,23,51},{19,21,51},{19,22,9},{19,21,3},{19,21,3},{19,20,9},{17,22,12},{19,20,12},{20,21,5},{20,21,5},{20,21,5},{20,20,8},{31,2,8},{19,21,2},{19,21,2},{19,20,8},{27,16,8},{19,20,8},{29,7,18},{19,22,8},{20,21,1},{19,21,1},{29,7,18},{27,17,18},{19,21,1},
{0,21,36},{27,17,18},{0,21,36},{19,0,50},{19,0,50},{19,0,50},{19,0,50},{19,21,2},{19,21,2},{19,21,2},{19,20,5},{18,21,0},{18,21,0},{20,24,56},{20,23,38},{20,22,52},{20,22,36},{20,24,56},{20,23,35},{20,22,0},{20,22,52},{19,23,60},{19,22,36},{21,23,24},{21,22,14},{21,22,5},{21,22,13},{26,14,51},{19,23,35},{20,22,0},{19,22,36},{22,21,51},
{19,22,36},{20,23,37},{20,23,37},{20,23,37},{20,22,36},{20,23,10},{20,22,0},{20,22,0},{20,21,5},{18,23,12},{20,21,14},{21,22,5},{21,22,5},{21,22,5},{21,21,8},{26,13,8},{20,22,0},{20,22,0},{20,21,5},{21,21,8},{20,21,5},{28,11,18},{20,23,2},{21,22,1},{20,22,0},{28,11,18},{31,16,18},{20,22,0},{0,22,36},{31,16,18},{0,22,36},{20,0,36},
{20,0,36},{20,0,36},{20,0,36},{20,22,0},{20,22,0},{20,22,0},{20,21,1},{19,22,0},{19,22,0},{21,25,56},{21,24,38},{21,23,52},{21,23,36},{21,25,56},{21,24,35},{21,23,0},{21,23,52},{19,24,63},{20,23,38},{22,24,24},{22,23,14},{22,23,5},{22,23,13},{31,8,51},{20,24,24},{21,23,0},{20,23,37},{28,19,51},{20,23,37},{21,24,37},{21,24,37},{21,24,37},
{21,23,36},{21,24,10},{21,23,0},{21,23,0},{21,22,5},{20,23,11},{21,22,14},{22,23,5},{22,23,5},{22,23,5},{22,22,8},{28,12,8},{21,23,0},{21,23,0},{21,22,5},{22,22,8},{21,22,5},{29,12,18},{21,24,2},{22,23,1},{21,23,0},{29,12,18},{27,20,18},{21,23,0},{0,23,36},{27,20,18},{0,23,36},{21,0,36},{21,0,36},{21,0,36},{21,0,36},{21,23,0},
{21,23,0},{21,23,0},{21,22,1},{20,23,2},{20,23,2},{22,26,56},{22,25,38},{22,24,53},{22,24,37},{22,26,56},{22,25,35},{22,24,1},{22,24,66},{20,25,60},{21,24,52},{23,25,24},{23,24,14},{23,24,6},{23,24,14},{29,14,51},{21,25,24},{22,24,1},{21,24,51},{29,20,51},{21,24,51},{22,25,37},{22,25,37},{22,25,37},{22,24,36},{22,25,10},{22,24,0},{22,24,0},
{22,23,5},{21,24,11},{22,23,14},{23,24,5},{23,24,5},{23,24,5},{23,23,8},{29,13,8},{22,24,0},{22,24,0},{22,23,5},{28,20,8},{22,23,5},{30,13,18},{22,25,2},{23,24,2},{22,24,1},{30,13,18},{28,21,18},{22,24,1},{0,24,50},{28,21,18},{0,24,50},{22,0,36},{22,0,36},{22,0,36},{22,0,36},{22,24,0},{22,24,0},{22,24,0},{22,23,1},{21,24,2},
{21,24,2},{23,28,70},{23,26,58},{24,25,69},{23,25,51},{23,27,52},{23,26,25},{23,25,3},{23,25,46},{22,26,60},{22,25,36},{24,26,24},{24,25,14},{24,25,5},{24,25,13},{29,17,51},{23,26,24},{23,25,2},{22,25,36},{27,23,51},{22,25,36},{23,27,51},{23,27,51},{23,27,51},{23,25,51},{23,26,9},{23,25,3},{23,25,3},{23,24,9},{21,26,12},{23,24,12},{24,25,5},
{24,25,5},{24,25,5},{24,24,8},{29,16,8},{23,25,2},{23,25,2},{23,24,8},{31,20,8},{23,24,8},{30,16,18},{23,26,8},{24,25,1},{23,25,1},{30,16,18},{31,21,18},{23,25,1},{0,25,36},{31,21,18},{0,25,36},{23,0,50},{23,0,50},{23,0,50},{23,0,50},{23,25,2},{23,25,2},{23,25,2},{23,24,5},{22,25,0},{22,25,0},{24,28,56},{24,27,38},{24,26,52},
{24,26,36},{24,28,56},{24,27,35},{24,26,0},{24,26,52},{23,27,60},{23,26,36},{25,27,24},{25,26,14},{25,26,5},{25,26,13},{30,18,51},{23,27,35},{24,26,0},{23,26,36},{26,25,51},{23,26,36},{24,27,37},{24,27,37},{24,27,37},{24,26,36},{24,27,10},{24,26,0},{24,26,0},{24,25,5},{22,27,12},{24,25,14},{25,26,5},{25,26,5},{25,26,5},{25,25,8},{30,17,8},
{24,26,0},{24,26,0},{24,25,5},{25,25,8},{24,25,5},{31,17,18},{24,27,2},{25,26,1},{24,26,0},{31,17,18},{25,26,18},{24,26,0},{0,26,36},{25,26,18},{0,26,36},{24,0,36},{24,0,36},{24,0,36},{24,0,36},{24,26,0},{24,26,0},{24,26,0},{24,25,1},{23,26,0},{23,26,0},{25,29,56},{25,28,38},{25,27,52},{25,27,36},{25,29,56},{25,28,35},{25,27,0},
{25,27,52},{23,28,63},{24,27,38},{26,28,24},{26,27,14},{26,27,5},{26,27,13},{31,19,51},{24,28,24},{25,27,0},{24,27,37},{27,26,51},{24,27,37},{25,28,37},{25,28,37},{25,28,37},{25,27,36},{25,28,10},{25,27,0},{25,27,0},{25,26,5},{24,27,11},{25,26,14},{26,27,5},{26,27,5},{26,27,5},{26,26,8},{31,18,8},{25,27,0},{25,27,0},{25,26,5},{26,26,8},
{25,26,5},{30,21,18},{25,28,2},{26,27,1},{25,27,0},{30,21,18},{31,24,18},{25,27,0},{0,27,36},{31,24,18},{0,27,36},{25,0,36},{25,0,36},{25,0,36},{25,0,36},{25,27,0},{25,27,0},{25,27,0},{25,26,1},{24,27,2},{24,27,2},{26,30,56},{26,29,38},{26,28,53},{26,28,37},{26,30,56},{26,29,35},{26,28,1},{26,28,66},{24,29,60},{25,28,52},{27,29,24},
{27,28,14},{27,28,6},{27,28,14},{30,23,51},{25,29,24},{26,28,1},{25,28,51},{28,27,51},{25,28,51},{26,29,37},{26,29,37},{26,29,37},{26,28,36},{26,29,10},{26,28,0},{26,28,0},{26,27,5},{25,28,11},{26,27,14},{27,28,5},{27,28,5},{27,28,5},{27,27,8},{30,22,8},{26,28,0},{26,28,0},{26,27,5},{27,27,8},{26,27,5},{31,22,18},{26,29,2},{27,28,2},
{26,28,1},{31,22,18},{27,28,18},{26,28,1},{0,28,50},{27,28,18},{0,28,50},{26,0,36},{26,0,36},{26,0,36},{26,0,36},{26,28,0},{26,28,0},{26,28,0},{26,27,1},{25,28,2},{25,28,2},{27,31,76},{27,30,58},{28,29,69},{27,29,51},{27,31,52},{27,30,25},{27,29,3},{27,29,46},{26,30,60},{26,29,36},{28,30,24},{28,29,14},{28,29,5},{28,29,13},{30,26,51},
{27,30,24},{27,29,2},{26,29,36},{31,27,51},{26,29,36},{27,31,51},{27,31,51},{27,31,51},{27,29,51},{27,30,9},{27,29,3},{27,29,3},{27,28,9},{25,30,12},{27,28,12},{28,29,5},{28,29,5},{28,29,5},{28,28,8},{30,25,8},{27,29,2},{27,29,2},{27,28,8},{30,27,8},{27,28,8},{31,25,18},{27,30,8},{28,29,1},{27,29,1},{31,25,18},{28,29,18},{27,29,1},
{0,29,36},{28,29,18},{0,29,36},{27,0,50},{27,0,50},{27,0,50},{27,0,50},{27,29,2},{27,29,2},{27,29,2},{27,28,5},{26,29,0},{26,29,0},{28,31,86},{28,31,38},{28,30,52},{28,30,36},{28,31,59},{28,31,35},{28,30,0},{28,30,52},{27,31,60},{27,30,36},{29,31,24},{29,30,14},{29,30,5},{29,30,13},{31,27,51},{27,31,35},{28,30,0},{27,30,36},{30,29,51},
{27,30,36},{28,31,37},{28,31,37},{28,31,37},{28,30,36},{28,31,10},{28,30,0},{28,30,0},{28,29,5},{26,31,12},{28,29,14},{29,30,5},{29,30,5},{29,30,5},{29,29,8},{31,26,8},{28,30,0},{28,30,0},{28,29,5},{29,29,8},{28,29,5},{30,29,18},{28,31,2},{29,30,1},{28,30,0},{30,29,18},{29,30,18},{28,30,0},{0,30,36},{29,30,18},{0,30,36},{28,0,36},
{28,0,36},{28,0,36},{28,0,36},{28,30,0},{28,30,0},{28,30,0},{28,29,1},{27,30,0},{27,30,0},{30,31,94},{30,31,78},{29,31,52},{29,31,36},{30,31,115},{29,31,36},{29,31,0},{29,31,52},{29,31,88},{28,31,38},{30,31,30},{30,31,14},{30,31,5},{30,31,13},{30,31,51},{29,31,36},{29,31,0},{28,31,37},{31,30,51},{28,31,37},{29,31,52},{29,31,52},{29,31,52},
{29,31,36},{29,31,16},{29,31,0},{29,31,0},{29,30,5},{28,31,11},{29,30,14},{30,31,5},{30,31,5},{30,31,5},{30,30,8},{30,30,8},{29,31,0},{29,31,0},{29,30,5},{30,30,8},{29,30,5},{31,30,18},{30,31,10},{30,31,1},{29,31,0},{31,30,18},{30,31,18},{29,31,0},{0,31,36},{30,31,18},{0,31,36},{29,0,36},{29,0,36},{29,0,36},{29,0,36},{29,31,0},
{29,31,0},{29,31,0},{29,30,1},{28,31,2},{28,31,2},{31,31,68},{31,31,68},{30,31,61},{30,31,45},{30,31,59},{30,31,27},{30,31,18},{30,31,1},{30,31,28},{30,31,10},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{30,31,61},{30,31,61},{30,31,61},{30,31,45},{30,31,34},{30,31,18},{30,31,18},
{30,31,1},{30,31,19},{30,31,10},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,36},{30,0,36},{30,0,36},{30,0,36},{30,31,9},{30,31,9},{30,31,9},{30,31,1},{30,31,10},
{30,31,10},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{0,2,158},{0,2,110},{0,2,62},{0,1,115},{0,1,178},{0,1,124},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{1,1,154},{0,2,110},{0,2,62},{0,1,115},{1,1,154},{0,1,115},{0,2,1},{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{0,0,25},{0,0,25},{0,2,1},
{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{1,0,13},{0,0,25},{1,2,72},{0,3,20},{0,2,2},{0,2,26},{1,2,72},{2,1,72},{0,2,26},{0,1,90},{2,1,72},{0,1,90},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,6,83},{0,5,13},{0,3,26},
{0,3,14},{0,5,248},{0,3,140},{0,3,41},{0,2,139},{0,2,319},{0,2,175},{0,6,83},{0,5,13},{0,3,26},{0,3,14},{1,3,243},{0,3,140},{0,3,41},{0,2,139},{3,1,243},{0,2,139},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{0,3,52},{0,2,18},{0,2,18},{0,1,29},{0,1,77},{0,1,38},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{1,1,50},
{0,2,18},{0,2,18},{0,1,29},{1,1,50},{0,1,29},{2,3,72},{0,5,4},{1,3,2},{0,3,5},{2,3,72},{3,2,72},{0,3,5},{0,2,90},{3,2,72},{0,2,90},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{1,7,147},{1,6,77},{1,4,89},{1,4,77},{0,7,244},{0,5,96},{0,4,2},
{0,3,106},{0,4,395},{0,3,187},{1,7,83},{1,6,13},{1,4,25},{1,4,13},{2,4,243},{0,5,96},{0,4,2},{0,3,106},{4,2,243},{0,3,106},{1,5,74},{1,5,74},{1,5,74},{1,4,77},{0,5,52},{0,4,2},{0,4,2},{0,3,25},{0,3,133},{0,2,62},{1,5,10},{1,5,10},{1,5,10},{1,4,13},{2,2,50},{0,4,2},{0,4,2},{0,3,25},{2,2,50},
{0,3,25},{3,4,72},{1,6,4},{2,4,1},{0,4,1},{3,4,72},{9,0,72},{0,4,1},{0,3,90},{9,0,72},{0,3,90},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{2,8,164},{2,7,94},{2,5,106},{2,5,94},{1,8,245},{1,6,97},{1,5,3},{1,4,97},{0,6,364},{0,4,106},{2,8,83},
{2,7,13},{2,5,25},{2,5,13},{6,0,243},{0,7,76},{1,5,2},{0,4,81},{10,0,243},{0,4,81},{2,6,91},{2,6,91},{2,6,91},{2,5,94},{1,6,53},{1,5,3},{1,5,3},{1,3,27},{0,4,107},{0,4,42},{2,6,10},{2,6,10},{2,6,10},{2,5,13},{3,3,50},{1,5,2},{1,5,2},{0,4,17},{8,0,50},{0,4,17},{7,0,72},{2,7,4},{3,5,1},
{1,5,1},{7,0,72},{10,1,72},{1,5,1},{0,4,80},{10,1,72},{0,4,80},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{1,5,2},{1,5,2},{1,5,2},{1,3,2},{0,3,20},{0,3,20},{3,10,154},{3,8,81},{3,6,106},{3,6,82},{2,10,248},{2,7,99},{2,6,5},{2,5,99},{0,7,308},{0,5,100},{3,10,90},{3,8,17},{4,6,27},{3,6,18},{6,3,243},
{1,8,73},{2,6,5},{1,5,90},{8,3,243},{1,5,90},{3,8,81},{3,8,81},{3,8,81},{3,6,81},{2,8,52},{2,6,4},{2,6,4},{2,5,18},{0,6,72},{0,5,19},{3,8,17},{3,8,17},{3,8,17},{3,6,17},{6,1,50},{2,6,4},{2,6,4},{1,5,9},{11,0,50},{1,5,9},{8,1,72},{3,8,1},{4,6,2},{3,6,2},{8,1,72},{6,5,72},{3,6,2},
{0,5,90},{6,5,72},{0,5,90},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{2,6,0},{2,6,0},{2,6,0},{2,4,4},{0,6,8},{0,6,8},{4,10,164},{4,9,94},{4,7,107},{4,7,95},{3,11,248},{3,8,89},{3,7,5},{3,6,99},{0,9,253},{1,6,100},{4,10,83},{4,9,13},{4,7,26},{4,7,14},{8,2,243},{2,9,73},{3,7,5},{2,6,90},{12,2,243},
{2,6,90},{4,8,91},{4,8,91},{4,8,91},{4,7,94},{3,9,52},{3,7,4},{3,7,4},{3,6,18},{0,8,50},{1,6,19},{4,8,10},{4,8,10},{4,8,10},{4,7,13},{8,0,50},{3,7,4},{3,7,4},{2,6,9},{5,5,50},{2,6,9},{9,2,72},{4,9,4},{5,7,2},{3,7,5},{9,2,72},{17,0,72},{3,7,5},{0,6,90},{17,0,72},{0,6,90},{4,0,90},
{4,0,90},{4,0,90},{4,0,90},{3,7,0},{3,7,0},{3,7,0},{3,5,4},{1,7,8},{1,7,8},{5,11,164},{5,10,94},{5,8,106},{5,8,94},{4,11,245},{4,9,97},{4,8,3},{4,7,107},{0,11,249},{2,7,100},{5,11,83},{5,10,13},{5,8,25},{5,8,13},{9,3,243},{3,10,73},{4,8,2},{3,7,90},{18,0,243},{3,7,90},{5,9,91},{5,9,91},{5,9,91},
{5,8,94},{4,9,53},{4,8,3},{4,8,3},{4,7,26},{1,9,50},{2,7,19},{5,9,10},{5,9,10},{5,9,10},{5,8,13},{9,1,50},{4,8,2},{4,8,2},{3,7,9},{16,0,50},{3,7,9},{10,3,72},{5,10,4},{6,8,1},{4,8,1},{10,3,72},{18,1,72},{4,8,1},{0,7,90},{18,1,72},{0,7,90},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,8,2},
{4,8,2},{4,8,2},{4,6,2},{1,8,9},{1,8,9},{6,12,164},{6,11,94},{6,9,106},{6,9,94},{5,12,245},{5,10,97},{5,9,3},{5,8,97},{1,12,252},{3,8,85},{6,12,83},{6,11,13},{6,9,25},{6,9,13},{10,4,243},{4,11,76},{5,9,2},{4,8,81},{19,1,243},{4,8,81},{6,10,91},{6,10,91},{6,10,91},{6,9,94},{5,10,53},{5,9,3},{5,9,3},
{5,7,27},{2,10,50},{3,8,21},{6,10,10},{6,10,10},{6,10,10},{6,9,13},{10,2,50},{5,9,2},{5,9,2},{4,8,17},{17,1,50},{4,8,17},{11,4,72},{6,11,4},{7,9,1},{5,9,1},{11,4,72},{19,2,72},{5,9,1},{0,8,80},{19,2,72},{0,8,80},{6,0,90},{6,0,90},{6,0,90},{6,0,90},{5,9,2},{5,9,2},{5,9,2},{5,7,2},{3,8,5},
{3,8,5},{7,14,154},{7,12,81},{7,10,106},{7,10,82},{6,14,248},{6,11,99},{6,10,5},{6,9,99},{2,13,244},{4,9,100},{7,14,90},{7,12,17},{8,10,27},{7,10,18},{13,2,243},{5,12,73},{6,10,5},{5,9,90},{22,1,243},{5,9,90},{7,12,81},{7,12,81},{7,12,81},{7,10,81},{6,12,52},{6,10,4},{6,10,4},{6,9,18},{3,11,53},{4,9,19},{7,12,17},
{7,12,17},{7,12,17},{7,10,17},{13,0,50},{6,10,4},{6,10,4},{5,9,9},{20,1,50},{5,9,9},{14,2,72},{7,12,1},{8,10,2},{7,10,2},{14,2,72},{25,0,72},{7,10,2},{0,9,90},{25,0,72},{0,9,90},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{6,10,0},{6,10,0},{6,10,0},{6,8,4},{4,10,8},{4,10,8},{8,14,164},{8,13,94},{8,11,107},
{8,11,95},{7,15,248},{7,12,89},{7,11,5},{7,10,99},{3,14,244},{5,10,100},{8,14,83},{8,13,13},{8,11,26},{8,11,14},{14,3,243},{6,13,73},{7,11,5},{6,10,90},{26,0,243},{6,10,90},{8,12,91},{8,12,91},{8,12,91},{8,11,94},{7,13,52},{7,11,4},{7,11,4},{7,10,18},{4,12,50},{5,10,19},{8,12,10},{8,12,10},{8,12,10},{8,11,13},{14,1,50},
{7,11,4},{7,11,4},{6,10,9},{24,0,50},{6,10,9},{16,1,72},{8,13,4},{9,11,2},{7,11,5},{16,1,72},{26,1,72},{7,11,5},{0,10,90},{26,1,72},{0,10,90},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{7,11,0},{7,11,0},{7,11,0},{7,9,4},{5,11,8},{5,11,8},{9,15,164},{9,14,94},{9,12,106},{9,12,94},{8,15,245},{8,13,97},{8,12,3},
{8,11,107},{4,15,249},{6,11,100},{9,15,83},{9,14,13},{9,12,25},{9,12,13},{16,2,243},{7,14,73},{8,12,2},{7,11,90},{27,1,243},{7,11,90},{9,13,91},{9,13,91},{9,13,91},{9,12,94},{8,13,53},{8,12,3},{8,12,3},{8,11,26},{5,13,50},{6,11,19},{9,13,10},{9,13,10},{9,13,10},{9,12,13},{16,0,50},{8,12,2},{8,12,2},{7,11,9},{25,1,50},
{7,11,9},{17,2,72},{9,14,4},{10,12,1},{8,12,1},{17,2,72},{27,2,72},{8,12,1},{0,11,90},{27,2,72},{0,11,90},{9,0,90},{9,0,90},{9,0,90},{9,0,90},{8,12,2},{8,12,2},{8,12,2},{8,10,2},{5,12,9},{5,12,9},{10,16,164},{10,15,94},{10,13,106},{10,13,94},{9,16,245},{9,14,97},{9,13,3},{9,12,97},{5,16,252},{7,12,85},{10,16,83},
{10,15,13},{10,13,25},{10,13,13},{17,3,243},{8,15,76},{9,13,2},{8,12,81},{28,2,243},{8,12,81},{10,14,91},{10,14,91},{10,14,91},{10,13,94},{9,14,53},{9,13,3},{9,13,3},{9,11,27},{6,14,50},{7,12,21},{10,14,10},{10,14,10},{10,14,10},{10,13,13},{17,1,50},{9,13,2},{9,13,2},{8,12,17},{26,2,50},{8,12,17},{18,3,72},{10,15,4},{11,13,1},
{9,13,1},{18,3,72},{28,3,72},{9,13,1},{0,12,80},{28,3,72},{0,12,80},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,13,2},{9,13,2},{9,13,2},{9,11,2},{7,12,5},{7,12,5},{11,18,154},{11,16,81},{11,14,106},{11,14,82},{10,18,248},{10,15,99},{10,14,5},{10,13,99},{6,17,244},{8,13,100},{11,18,90},{11,16,17},{12,14,27},{11,14,18},{17,6,243},
{9,16,73},{10,14,5},{9,13,90},{31,2,243},{9,13,90},{11,16,81},{11,16,81},{11,16,81},{11,14,81},{10,16,52},{10,14,4},{10,14,4},{10,13,18},{7,15,53},{8,13,19},{11,16,17},{11,16,17},{11,16,17},{11,14,17},{17,4,50},{10,14,4},{10,14,4},{9,13,9},{29,2,50},{9,13,9},{18,6,72},{11,16,1},{12,14,2},{11,14,2},{18,6,72},{31,3,72},{11,14,2},
{0,13,90},{31,3,72},{0,13,90},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,14,0},{10,14,0},{10,14,0},{10,12,4},{8,14,8},{8,14,8},{12,18,164},{12,17,94},{12,15,107},{12,15,95},{11,19,248},{11,16,89},{11,15,5},{11,14,99},{7,18,244},{9,14,100},{12,18,83},{12,17,13},{12,15,26},{12,15,14},{22,0,243},{10,17,73},{11,15,5},{10,14,90},{30,4,243},
{10,14,90},{12,16,91},{12,16,91},{12,16,91},{12,15,94},{11,17,52},{11,15,4},{11,15,4},{11,14,18},{8,16,50},{9,14,19},{12,16,10},{12,16,10},{12,16,10},{12,15,13},{18,5,50},{11,15,4},{11,15,4},{10,14,9},{30,3,50},{10,14,9},{23,0,72},{12,17,4},{13,15,2},{11,15,5},{23,0,72},{30,5,72},{11,15,5},{0,14,90},{30,5,72},{0,14,90},{12,0,90},
{12,0,90},{12,0,90},{12,0,90},{11,15,0},{11,15,0},{11,15,0},{11,13,4},{9,15,8},{9,15,8},{13,19,164},{13,18,94},{13,16,106},{13,16,94},{12,19,245},{12,17,97},{12,16,3},{12,15,107},{8,19,249},{10,15,100},{13,19,83},{13,18,13},{13,16,25},{13,16,13},{23,1,243},{11,18,73},{12,16,2},{11,15,90},{31,5,243},{11,15,90},{13,17,91},{13,17,91},{13,17,91},
{13,16,94},{12,17,53},{12,16,3},{12,16,3},{12,15,26},{9,17,50},{10,15,19},{13,17,10},{13,17,10},{13,17,10},{13,16,13},{20,4,50},{12,16,2},{12,16,2},{11,15,9},{29,5,50},{11,15,9},{24,1,72},{13,18,4},{14,16,1},{12,16,1},{24,1,72},{31,6,72},{12,16,1},{0,15,90},{31,6,72},{0,15,90},{13,0,90},{13,0,90},{13,0,90},{13,0,90},{12,16,2},
{12,16,2},{12,16,2},{12,14,2},{9,16,9},{9,16,9},{14,20,164},{14,19,94},{14,17,106},{14,17,94},{13,20,245},{13,18,97},{13,17,3},{13,16,97},{9,20,252},{11,16,85},{14,20,83},{14,19,13},{14,17,25},{14,17,13},{24,2,243},{12,19,76},{13,17,2},{12,16,81},{27,9,243},{12,16,81},{14,18,91},{14,18,91},{14,18,91},{14,17,94},{13,18,53},{13,17,3},{13,17,3},
{13,15,27},{10,18,50},{11,16,21},{14,18,10},{14,18,10},{14,18,10},{14,17,13},{24,0,50},{13,17,2},{13,17,2},{12,16,17},{30,6,50},{12,16,17},{25,2,72},{14,19,4},{15,17,1},{13,17,1},{25,2,72},{27,10,72},{13,17,1},{0,16,80},{27,10,72},{0,16,80},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{13,17,2},{13,17,2},{13,17,2},{13,15,2},{11,16,5},
{11,16,5},{15,22,154},{15,20,81},{15,18,106},{15,18,82},{14,22,248},{14,19,99},{14,18,5},{14,17,99},{10,21,244},{12,17,100},{15,22,90},{15,20,17},{16,18,27},{15,18,18},{27,0,243},{13,20,73},{14,18,5},{13,17,90},{30,9,243},{13,17,90},{15,20,81},{15,20,81},{15,20,81},{15,18,81},{14,20,52},{14,18,4},{14,18,4},{14,17,18},{11,19,53},{12,17,19},{15,20,17},
{15,20,17},{15,20,17},{15,18,17},{24,3,50},{14,18,4},{14,18,4},{13,17,9},{28,9,50},{13,17,9},{22,10,72},{15,20,1},{16,18,2},{15,18,2},{22,10,72},{30,10,72},{15,18,2},{0,17,90},{30,10,72},{0,17,90},{15,0,80},{15,0,80},{15,0,80},{15,0,80},{14,18,0},{14,18,0},{14,18,0},{14,16,4},{12,18,8},{12,18,8},{16,22,164},{16,21,94},{16,19,107},
{16,19,95},{15,23,248},{15,20,89},{15,19,5},{15,18,99},{11,22,244},{13,18,100},{16,22,83},{16,21,13},{16,19,26},{16,19,14},{26,4,243},{14,21,73},{15,19,5},{14,18,90},{31,10,243},{14,18,90},{16,20,91},{16,20,91},{16,20,91},{16,19,94},{15,21,52},{15,19,4},{15,19,4},{15,18,18},{12,20,50},{13,18,19},{16,20,10},{16,20,10},{16,20,10},{16,19,13},{22,9,50},
{15,19,4},{15,19,4},{14,18,9},{29,10,50},{14,18,9},{27,4,72},{16,21,4},{17,19,2},{15,19,5},{27,4,72},{31,11,72},{15,19,5},{0,18,90},{31,11,72},{0,18,90},{16,0,90},{16,0,90},{16,0,90},{16,0,90},{15,19,0},{15,19,0},{15,19,0},{15,17,4},{13,19,8},{13,19,8},{17,23,164},{17,22,94},{17,20,106},{17,20,94},{16,23,245},{16,21,97},{16,20,3},
{16,19,107},{12,23,249},{14,19,100},{17,23,83},{17,22,13},{17,20,25},{17,20,13},{30,0,243},{15,22,73},{16,20,2},{15,19,90},{30,12,243},{15,19,90},{17,21,91},{17,21,91},{17,21,91},{17,20,94},{16,21,53},{16,20,3},{16,20,3},{16,19,26},{13,21,50},{14,19,19},{17,21,10},{17,21,10},{17,21,10},{17,20,13},{24,8,50},{16,20,2},{16,20,2},{15,19,9},{30,11,50},
{15,19,9},{31,0,72},{17,22,4},{18,20,1},{16,20,1},{31,0,72},{30,13,72},{16,20,1},{0,19,90},{30,13,72},{0,19,90},{17,0,90},{17,0,90},{17,0,90},{17,0,90},{16,20,2},{16,20,2},{16,20,2},{16,18,2},{13,20,9},{13,20,9},{18,24,164},{18,23,94},{18,21,106},{18,21,94},{17,24,245},{17,22,97},{17,21,3},{17,20,97},{13,24,252},{15,20,85},{18,24,83},
{18,23,13},{18,21,25},{18,21,13},{31,1,243},{16,23,76},{17,21,2},{16,20,81},{31,13,243},{16,20,81},{18,22,91},{18,22,91},{18,22,91},{18,21,94},{17,22,53},{17,21,3},{17,21,3},{17,19,27},{14,22,50},{15,20,21},{18,22,10},{18,22,10},{18,22,10},{18,21,13},{28,4,50},{17,21,2},{17,21,2},{16,20,17},{29,13,50},{16,20,17},{29,6,72},{18,23,4},{19,21,1},
{17,21,1},{29,6,72},{31,14,72},{17,21,1},{0,20,80},{31,14,72},{0,20,80},{18,0,90},{18,0,90},{18,0,90},{18,0,90},{17,21,2},{17,21,2},{17,21,2},{17,19,2},{15,20,5},{15,20,5},{19,26,154},{19,24,81},{19,22,106},{19,22,82},{18,26,248},{18,23,99},{18,22,5},{18,21,99},{14,25,244},{16,21,100},{19,26,90},{19,24,17},{20,22,27},{19,22,18},{31,4,243},
{17,24,73},{18,22,5},{17,21,90},{24,19,243},{17,21,90},{19,24,81},{19,24,81},{19,24,81},{19,22,81},{18,24,52},{18,22,4},{18,22,4},{18,21,18},{15,23,53},{16,21,19},{19,24,17},{19,24,17},{19,24,17},{19,22,17},{31,2,50},{18,22,4},{18,22,4},{17,21,9},{27,16,50},{17,21,9},{26,14,72},{19,24,1},{20,22,2},{19,22,2},{26,14,72},{22,21,72},{19,22,2},
{0,21,90},{22,21,72},{0,21,90},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,22,0},{18,22,0},{18,22,0},{18,20,4},{16,22,8},{16,22,8},{20,26,164},{20,25,94},{20,23,107},{20,23,95},{19,27,248},{19,24,89},{19,23,5},{19,22,99},{15,26,244},{17,22,100},{20,26,83},{20,25,13},{20,23,26},{20,23,14},{30,8,243},{18,25,73},{19,23,5},{18,22,90},{28,18,243},
{18,22,90},{20,24,91},{20,24,91},{20,24,91},{20,23,94},{19,25,52},{19,23,4},{19,23,4},{19,22,18},{16,24,50},{17,22,19},{20,24,10},{20,24,10},{20,24,10},{20,23,13},{26,13,50},{19,23,4},{19,23,4},{18,22,9},{21,21,50},{18,22,9},{31,8,72},{20,25,4},{21,23,2},{19,23,5},{31,8,72},{28,19,72},{19,23,5},{0,22,90},{28,19,72},{0,22,90},{20,0,90},
{20,0,90},{20,0,90},{20,0,90},{19,23,0},{19,23,0},{19,23,0},{19,21,4},{17,23,8},{17,23,8},{21,27,164},{21,26,94},{21,24,106},{21,24,94},{20,27,245},{20,25,97},{20,24,3},{20,23,107},{16,27,249},{18,23,100},{21,27,83},{21,26,13},{21,24,25},{21,24,13},{31,9,243},{19,26,73},{20,24,2},{19,23,90},{29,19,243},{19,23,90},{21,25,91},{21,25,91},{21,25,91},
{21,24,94},{20,25,53},{20,24,3},{20,24,3},{20,23,26},{17,25,50},{18,23,19},{21,25,10},{21,25,10},{21,25,10},{21,24,13},{28,12,50},{20,24,2},{20,24,2},{19,23,9},{22,22,50},{19,23,9},{29,14,72},{21,26,4},{22,24,1},{20,24,1},{29,14,72},{29,20,72},{20,24,1},{0,23,90},{29,20,72},{0,23,90},{21,0,90},{21,0,90},{21,0,90},{21,0,90},{20,24,2},
{20,24,2},{20,24,2},{20,22,2},{17,24,9},{17,24,9},{22,28,164},{22,27,94},{22,25,106},{22,25,94},{21,28,245},{21,26,97},{21,25,3},{21,24,97},{17,28,252},{19,24,85},{22,28,83},{22,27,13},{22,25,25},{22,25,13},{29,15,243},{20,27,76},{21,25,2},{20,24,81},{30,20,243},{20,24,81},{22,26,91},{22,26,91},{22,26,91},{22,25,94},{21,26,53},{21,25,3},{21,25,3},
{21,23,27},{18,26,50},{19,24,21},{22,26,10},{22,26,10},{22,26,10},{22,25,13},{29,13,50},{21,25,2},{21,25,2},{20,24,17},{28,20,50},{20,24,17},{30,15,72},{22,27,4},{23,25,1},{21,25,1},{30,15,72},{30,21,72},{21,25,1},{0,24,80},{30,21,72},{0,24,80},{22,0,90},{22,0,90},{22,0,90},{22,0,90},{21,25,2},{21,25,2},{21,25,2},{21,23,2},{19,24,5},
{19,24,5},{23,30,154},{23,28,81},{23,26,106},{23,26,82},{22,30,248},{22,27,99},{22,26,5},{22,25,99},{18,29,244},{20,25,100},{23,30,90},{23,28,17},{24,26,27},{23,26,18},{29,18,243},{21,28,73},{22,26,5},{21,25,90},{28,23,243},{21,25,90},{23,28,81},{23,28,81},{23,28,81},{23,26,81},{22,28,52},{22,26,4},{22,26,4},{22,25,18},{19,27,53},{20,25,19},{23,28,17},
{23,28,17},{23,28,17},{23,26,17},{29,16,50},{22,26,4},{22,26,4},{21,25,9},{31,20,50},{21,25,9},{30,18,72},{23,28,1},{24,26,2},{23,26,2},{30,18,72},{26,25,72},{23,26,2},{0,25,90},{26,25,72},{0,25,90},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{22,26,0},{22,26,0},{22,26,0},{22,24,4},{20,26,8},{20,26,8},{24,30,164},{24,29,94},{24,27,107},
{24,27,95},{23,31,248},{23,28,89},{23,27,5},{23,26,99},{19,30,244},{21,26,100},{24,30,83},{24,29,13},{24,27,26},{24,27,14},{30,19,243},{22,29,73},{23,27,5},{22,26,90},{27,25,243},{22,26,90},{24,28,91},{24,28,91},{24,28,91},{24,27,94},{23,29,52},{23,27,4},{23,27,4},{23,26,18},{20,28,50},{21,26,19},{24,28,10},{24,28,10},{24,28,10},{24,27,13},{30,17,50},
{23,27,4},{23,27,4},{22,26,9},{25,25,50},{22,26,9},{31,19,72},{24,29,4},{25,27,2},{23,27,5},{31,19,72},{27,26,72},{23,27,5},{0,26,90},{27,26,72},{0,26,90},{24,0,90},{24,0,90},{24,0,90},{24,0,90},{23,27,0},{23,27,0},{23,27,0},{23,25,4},{21,27,8},{21,27,8},{25,31,164},{25,30,94},{25,28,106},{25,28,94},{24,31,245},{24,29,97},{24,28,3},
{24,27,107},{20,31,249},{22,27,100},{25,31,83},{25,30,13},{25,28,25},{25,28,13},{29,23,243},{23,30,73},{24,28,2},{23,27,90},{28,26,243},{23,27,90},{25,29,91},{25,29,91},{25,29,91},{25,28,94},{24,29,53},{24,28,3},{24,28,3},{24,27,26},{21,29,50},{22,27,19},{25,29,10},{25,29,10},{25,29,10},{25,28,13},{31,18,50},{24,28,2},{24,28,2},{23,27,9},{26,26,50},
{23,27,9},{30,23,72},{25,30,4},{26,28,1},{24,28,1},{30,23,72},{28,27,72},{24,28,1},{0,27,90},{28,27,72},{0,27,90},{25,0,90},{25,0,90},{25,0,90},{25,0,90},{24,28,2},{24,28,2},{24,28,2},{24,26,2},{21,28,9},{21,28,9},{26,31,194},{26,31,94},{26,29,106},{26,29,94},{25,31,284},{25,30,97},{25,29,3},{25,28,97},{22,31,253},{23,28,85},{27,31,99},
{26,31,13},{26,29,25},{26,29,13},{30,24,243},{24,31,76},{25,29,2},{24,28,81},{29,27,243},{24,28,81},{26,30,91},{26,30,91},{26,30,91},{26,29,94},{25,30,53},{25,29,3},{25,29,3},{25,27,27},{22,30,50},{23,28,21},{26,30,10},{26,30,10},{26,30,10},{26,29,13},{30,22,50},{25,29,2},{25,29,2},{24,28,17},{27,27,50},{24,28,17},{31,24,72},{26,31,4},{27,29,1},
{25,29,1},{31,24,72},{24,31,72},{25,29,1},{0,28,80},{24,31,72},{0,28,80},{26,0,90},{26,0,90},{26,0,90},{26,0,90},{25,29,2},{25,29,2},{25,29,2},{25,27,2},{23,28,5},{23,28,5},{27,31,280},{27,31,120},{27,30,106},{27,30,82},{27,31,328},{26,31,99},{26,30,5},{26,29,99},{24,31,308},{24,29,100},{28,31,105},{28,31,45},{28,30,27},{27,30,18},{30,27,243},
{26,31,99},{26,30,5},{25,29,90},{30,28,243},{25,29,90},{27,31,84},{27,31,84},{27,31,84},{27,30,81},{26,31,58},{26,30,4},{26,30,4},{26,29,18},{23,31,53},{24,29,19},{27,31,20},{27,31,20},{27,31,20},{27,30,17},{30,25,50},{26,30,4},{26,30,4},{25,29,9},{30,27,50},{25,29,9},{31,27,72},{28,31,20},{28,30,2},{27,30,2},{31,27,72},{30,29,72},{27,30,2},
{0,29,90},{30,29,72},{0,29,90},{27,0,80},{27,0,80},{27,0,80},{27,0,80},{26,30,0},{26,30,0},{26,30,0},{26,28,4},{24,30,8},{24,30,8},{28,31,331},{28,31,187},{28,31,106},{28,31,94},{28,31,358},{27,31,173},{27,31,4},{27,30,82},{26,31,355},{25,30,83},{29,31,126},{29,31,62},{28,31,25},{28,31,13},{30,29,221},{28,31,121},{27,31,4},{26,30,73},{29,30,221},
{26,30,73},{28,31,106},{28,31,106},{28,31,106},{28,31,94},{27,31,100},{27,31,4},{27,31,4},{27,30,18},{25,31,72},{25,30,19},{28,31,25},{28,31,25},{28,31,25},{28,31,13},{31,26,50},{27,31,4},{27,31,4},{26,30,9},{29,29,50},{26,30,9},{31,29,61},{29,31,37},{29,31,1},{27,31,4},{31,29,61},{31,30,61},{27,31,4},{0,30,73},{31,30,61},{0,30,73},{28,0,90},
{28,0,90},{28,0,90},{28,0,90},{27,31,0},{27,31,0},{27,31,0},{27,29,4},{25,31,8},{25,31,8},{29,31,239},{29,31,175},{29,31,139},{29,31,99},{29,31,239},{28,31,122},{28,31,41},{28,31,26},{28,31,233},{26,31,19},{30,31,54},{30,31,38},{30,31,29},{29,31,18},{30,31,93},{29,31,54},{29,31,18},{27,31,9},{31,30,93},{27,31,9},{29,31,139},{29,31,139},{29,31,139},
{29,31,99},{29,31,139},{28,31,41},{28,31,41},{28,31,26},{27,31,116},{26,31,19},{30,31,29},{30,31,29},{30,31,29},{29,31,18},{30,30,50},{29,31,18},{29,31,18},{27,31,9},{30,30,50},{27,31,9},{31,30,9},{31,31,9},{30,31,4},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{29,0,90},{29,0,90},{29,0,90},{29,0,90},{28,31,5},
{28,31,5},{28,31,5},{28,30,2},{26,31,10},{26,31,10},{30,31,140},{30,31,124},{30,31,115},{30,31,99},{30,31,131},{29,31,98},{29,31,62},{29,31,2},{29,31,122},{28,31,20},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,22},{30,31,18},{30,31,9},{29,31,1},{30,31,22},{29,31,1},{30,31,115},{30,31,115},{30,31,115},{30,31,99},{30,31,106},{29,31,62},{29,31,62},
{29,31,2},{29,31,86},{28,31,20},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,13},{30,31,9},{30,31,9},{29,31,1},{30,31,13},{29,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,90},{30,0,90},{30,0,90},{30,0,90},{29,31,26},{29,31,26},{29,31,26},{29,31,2},{28,31,20},
{28,31,20},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{0,4,442},{0,3,313},{0,3,142},{0,2,318},{0,2,498},{0,2,354},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{2,1,441},{0,3,313},{0,3,142},{0,2,318},{1,2,441},{0,2,318},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,45},{0,1,25},{0,1,25},{0,1,26},{0,1,50},{0,1,35},{0,3,0},
{0,3,0},{0,3,0},{0,2,1},{1,0,41},{0,1,25},{0,1,25},{0,1,26},{0,1,41},{0,1,26},{2,3,200},{0,5,52},{0,3,25},{0,3,61},{2,3,200},{3,2,200},{0,3,61},{0,2,218},{3,2,200},{0,2,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,9,200},{0,7,20},{0,5,20},
{0,4,25},{0,6,686},{0,5,433},{0,4,169},{0,3,443},{0,3,794},{0,3,524},{0,9,200},{0,7,20},{0,5,20},{0,4,25},{3,1,686},{0,5,433},{0,4,169},{0,3,443},{6,0,686},{0,3,443},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,3,145},{0,2,85},{0,2,85},{0,2,101},{0,1,178},{0,1,115},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{1,1,145},
{0,2,85},{0,2,85},{0,2,101},{3,0,145},{0,2,101},{3,4,200},{0,7,20},{1,4,16},{0,4,25},{3,4,200},{9,0,200},{0,4,25},{0,3,218},{9,0,200},{0,3,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,11,257},{0,9,54},{1,6,85},{0,5,65},{0,9,728},{0,6,371},{0,5,80},
{0,4,377},{0,5,949},{0,4,521},{1,10,201},{1,8,18},{1,6,21},{1,5,26},{4,2,723},{0,6,371},{0,5,80},{0,4,377},{7,1,723},{0,4,377},{0,8,50},{0,8,50},{0,8,50},{0,5,49},{0,5,164},{0,4,50},{0,4,50},{0,3,65},{0,3,245},{0,2,126},{1,7,2},{1,7,2},{1,7,2},{1,4,5},{2,2,162},{0,4,50},{0,4,50},{0,3,65},{2,2,162},
{0,3,65},{7,0,200},{0,9,5},{2,5,16},{0,5,16},{7,0,200},{10,1,200},{0,5,16},{0,4,208},{10,1,200},{0,4,208},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,2,1},{0,2,1},{0,2,1},{0,1,4},{0,1,13},{0,1,13},{1,12,315},{1,10,118},{1,7,178},{1,6,129},{0,11,724},{0,8,289},{0,6,34},{0,5,308},{0,6,1087},{0,5,533},{2,11,201},
{2,9,18},{2,7,21},{2,6,26},{5,3,723},{0,8,289},{0,6,34},{0,5,308},{8,2,723},{0,5,308},{1,9,114},{1,9,114},{1,9,114},{1,6,113},{0,8,162},{0,6,18},{0,6,18},{0,4,25},{0,4,338},{0,3,162},{2,8,2},{2,8,2},{2,8,2},{2,5,5},{3,3,162},{0,6,18},{0,6,18},{0,4,25},{8,0,162},{0,4,25},{6,4,200},{1,10,5},{3,6,16},
{1,6,16},{6,4,200},{14,0,200},{1,6,16},{0,5,208},{14,0,200},{0,5,208},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{2,14,410},{2,11,209},{2,8,288},{2,7,234},{0,14,739},{0,10,254},{0,8,33},{0,6,270},{0,8,1131},{0,6,450},{3,12,200},{3,10,13},{3,8,25},{3,7,29},{6,4,723},
{0,10,238},{0,8,17},{0,6,254},{14,0,723},{0,6,254},{2,11,209},{2,11,209},{2,11,209},{2,7,209},{0,11,178},{0,8,17},{0,8,17},{0,5,18},{0,6,376},{0,5,123},{3,9,0},{3,9,0},{3,9,0},{3,7,4},{6,1,162},{0,8,1},{0,8,1},{0,5,2},{11,0,162},{0,5,2},{9,2,200},{2,11,1},{4,7,25},{0,8,17},{9,2,200},{17,0,200},{0,8,17},
{0,6,218},{17,0,200},{0,6,218},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{0,8,16},{0,8,16},{0,8,16},{1,4,17},{0,4,80},{0,4,80},{3,15,410},{3,12,212},{3,9,288},{3,8,224},{1,15,739},{1,11,254},{1,9,33},{1,7,270},{0,9,1013},{0,7,308},{4,13,201},{4,11,21},{4,9,21},{4,8,26},{10,0,723},{0,12,227},{1,9,17},{0,7,227},{15,1,723},
{0,7,227},{3,11,212},{3,11,212},{3,11,212},{3,8,208},{2,10,180},{1,9,17},{1,9,17},{1,6,18},{0,8,306},{0,6,41},{4,10,2},{4,10,2},{4,10,2},{4,7,5},{8,0,162},{1,9,1},{1,9,1},{1,6,2},{5,5,162},{1,6,2},{10,3,200},{3,12,4},{5,8,16},{3,8,16},{10,3,200},{18,1,200},{3,8,16},{0,7,218},{18,1,200},{0,7,218},{3,0,208},
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{10,17,18},{10,15,21},{10,14,26},{19,1,723},{4,19,204},{7,15,17},{5,13,209},{31,1,723},{5,13,209},{9,17,219},{9,17,219},{9,17,219},{9,14,218},{7,18,180},{7,15,17},{7,15,17},{7,12,20},{3,16,173},{5,12,17},{10,16,2},{10,16,2},{10,16,2},{10,13,5},{17,1,162},{7,15,1},{7,15,1},{6,12,1},{26,2,162},{6,12,1},{20,2,200},{9,18,5},{11,14,16},
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{5,20,209},{8,16,17},{6,14,218},{24,7,723},{6,14,218},{10,19,209},{10,19,209},{10,19,209},{10,15,209},{8,19,178},{8,16,17},{8,16,17},{8,13,18},{3,18,170},{6,13,26},{11,17,0},{11,17,0},{11,17,0},{11,15,4},{17,4,162},{8,16,1},{8,16,1},{8,13,2},{29,2,162},{8,13,2},{23,0,200},{10,19,1},{12,15,25},{8,16,17},{23,0,200},{30,5,200},{8,16,17},
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{10,18,16},{10,18,16},{11,14,17},{7,17,8},{7,17,8},{13,24,420},{13,22,223},{13,19,283},{13,18,234},{11,25,739},{11,21,267},{11,19,33},{11,17,273},{5,23,727},{8,17,213},{14,23,201},{14,21,18},{14,19,21},{14,18,26},{26,0,723},{8,23,204},{11,19,17},{9,17,209},{30,8,723},{9,17,209},{13,21,219},{13,21,219},{13,21,219},{13,18,218},{11,22,180},{11,19,17},{11,19,17},
{11,16,20},{7,20,173},{9,16,17},{14,20,2},{14,20,2},{14,20,2},{14,17,5},{24,0,162},{11,19,1},{11,19,1},{10,16,1},{30,6,162},{10,16,1},{26,3,200},{13,22,5},{15,18,16},{13,18,16},{26,3,200},{28,11,200},{13,18,16},{0,17,208},{28,11,200},{0,17,208},{13,0,218},{13,0,218},{13,0,218},{13,0,218},{11,19,16},{11,19,16},{11,19,16},{11,16,20},{8,17,5},
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{15,21,0},{15,21,0},{15,19,4},{24,3,162},{12,20,1},{12,20,1},{12,17,2},{28,9,162},{12,17,2},{27,4,200},{14,23,1},{16,19,25},{12,20,17},{27,4,200},{31,11,200},{12,20,17},{0,18,218},{31,11,200},{0,18,218},{14,0,208},{14,0,208},{14,0,208},{14,0,208},{12,20,16},{12,20,16},{12,20,16},{13,16,17},{9,19,5},{9,19,5},{15,27,410},{15,24,212},{15,21,288},
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{14,19,2},{29,6,200},{15,26,4},{18,21,16},{16,21,16},{29,6,200},{31,14,200},{16,21,16},{0,20,208},{31,14,200},{0,20,208},{16,0,218},{16,0,218},{16,0,218},{16,0,218},{14,22,16},{14,22,16},{14,22,16},{15,18,17},{11,21,8},{11,21,8},{17,28,420},{17,26,223},{17,23,283},{17,22,234},{15,29,739},{15,25,267},{15,23,33},{15,21,273},{9,27,727},{12,21,213},{18,27,201},
{18,25,18},{18,23,21},{18,22,26},{30,4,723},{12,27,204},{15,23,17},{13,21,209},{29,15,723},{13,21,209},{17,25,219},{17,25,219},{17,25,219},{17,22,218},{15,26,180},{15,23,17},{15,23,17},{15,20,20},{11,24,173},{13,20,17},{18,24,2},{18,24,2},{18,24,2},{18,21,5},{28,4,162},{15,23,1},{15,23,1},{14,20,1},{29,13,162},{14,20,1},{30,7,200},{17,26,5},{19,22,16},
{17,22,16},{30,7,200},{30,16,200},{17,22,16},{0,21,208},{30,16,200},{0,21,208},{17,0,218},{17,0,218},{17,0,218},{17,0,218},{15,23,16},{15,23,16},{15,23,16},{15,20,20},{12,21,5},{12,21,5},{18,30,410},{18,27,209},{18,24,288},{18,23,234},{16,30,739},{16,26,254},{16,24,33},{16,22,270},{10,28,724},{14,22,227},{19,28,200},{19,26,13},{19,24,25},{19,23,29},{30,7,723},
{13,28,209},{16,24,17},{14,22,218},{30,16,723},{14,22,218},{18,27,209},{18,27,209},{18,27,209},{18,23,209},{16,27,178},{16,24,17},{16,24,17},{16,21,18},{11,26,170},{14,21,26},{19,25,0},{19,25,0},{19,25,0},{19,23,4},{31,2,162},{16,24,1},{16,24,1},{16,21,2},{27,16,162},{16,21,2},{31,8,200},{18,27,1},{20,23,25},{16,24,17},{31,8,200},{28,19,200},{16,24,17},
{0,22,218},{28,19,200},{0,22,218},{18,0,208},{18,0,208},{18,0,208},{18,0,208},{16,24,16},{16,24,16},{16,24,16},{17,20,17},{13,23,5},{13,23,5},{19,31,410},{19,28,212},{19,25,288},{19,24,224},{17,31,739},{17,27,254},{17,25,33},{17,23,270},{11,29,724},{15,23,227},{20,29,201},{20,27,21},{20,25,21},{20,24,26},{29,11,723},{15,28,209},{17,25,17},{15,23,218},{31,17,723},
{15,23,218},{19,27,212},{19,27,212},{19,27,212},{19,24,208},{18,26,180},{17,25,17},{17,25,17},{17,22,18},{13,26,171},{15,22,26},{20,26,2},{20,26,2},{20,26,2},{20,23,5},{26,13,162},{17,25,1},{17,25,1},{17,22,2},{21,21,162},{17,22,2},{29,14,200},{19,28,4},{21,24,16},{19,24,16},{29,14,200},{29,20,200},{19,24,16},{0,23,218},{29,20,200},{0,23,218},{19,0,208},
{19,0,208},{19,0,208},{19,0,208},{17,25,16},{17,25,16},{17,25,16},{18,21,17},{14,24,8},{14,24,8},{20,31,426},{20,29,223},{20,26,283},{20,25,234},{19,30,740},{18,28,267},{18,26,33},{18,24,273},{12,30,727},{15,24,218},{21,30,201},{21,28,18},{21,26,21},{21,25,26},{30,12,723},{16,29,208},{18,26,17},{16,24,209},{27,21,723},{16,24,209},{20,28,219},{20,28,219},{20,28,219},
{20,25,218},{19,27,180},{18,26,17},{18,26,17},{18,23,18},{14,27,171},{16,23,27},{21,27,2},{21,27,2},{21,27,2},{21,24,5},{28,12,162},{18,26,1},{18,26,1},{18,23,2},{22,22,162},{18,23,2},{30,15,200},{19,30,4},{22,25,16},{20,25,16},{30,15,200},{30,21,200},{20,25,16},{0,24,208},{30,21,200},{0,24,208},{20,0,218},{20,0,218},{20,0,218},{20,0,218},{18,26,16},
{18,26,16},{18,26,16},{19,22,17},{15,25,8},{15,25,8},{21,31,468},{21,30,223},{21,27,283},{21,26,234},{20,31,749},{19,29,267},{19,27,33},{19,25,273},{13,31,727},{16,25,213},{22,31,201},{22,29,18},{22,27,21},{22,26,26},{31,13,723},{16,31,204},{19,27,17},{17,25,209},{28,22,723},{17,25,209},{21,29,219},{21,29,219},{21,29,219},{21,26,218},{19,30,180},{19,27,17},{19,27,17},
{19,24,20},{15,28,173},{17,24,17},{22,28,2},{22,28,2},{22,28,2},{22,25,5},{29,13,162},{19,27,1},{19,27,1},{18,24,1},{28,20,162},{18,24,1},{31,16,200},{21,30,5},{23,26,16},{21,26,16},{31,16,200},{31,22,200},{21,26,16},{0,25,208},{31,22,200},{0,25,208},{21,0,218},{21,0,218},{21,0,218},{21,0,218},{19,27,16},{19,27,16},{19,27,16},{19,24,20},{16,25,5},
{16,25,5},{22,31,570},{22,31,209},{22,28,288},{22,27,234},{21,31,804},{20,30,254},{20,28,33},{20,26,270},{15,31,753},{18,26,227},{23,31,232},{23,30,13},{23,28,25},{23,27,29},{31,16,723},{19,31,216},{20,28,17},{18,26,218},{31,22,723},{18,26,218},{22,31,209},{22,31,209},{22,31,209},{22,27,209},{20,31,178},{20,28,17},{20,28,17},{20,25,18},{15,30,170},{18,25,26},{23,29,0},
{23,29,0},{23,29,0},{23,27,4},{29,16,162},{20,28,1},{20,28,1},{20,25,2},{31,20,162},{20,25,2},{31,19,200},{22,31,1},{24,27,25},{20,28,17},{31,19,200},{27,26,200},{20,28,17},{0,26,218},{27,26,200},{0,26,218},{22,0,208},{22,0,208},{22,0,208},{22,0,208},{20,28,16},{20,28,16},{20,28,16},{21,24,17},{17,27,5},{17,27,5},{23,31,696},{23,31,237},{23,29,288},
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{21,29,1},{21,29,1},{21,26,2},{25,25,162},{21,26,2},{30,23,200},{24,31,20},{25,28,16},{23,28,16},{30,23,200},{28,27,200},{23,28,16},{0,27,218},{28,27,200},{0,27,218},{23,0,208},{23,0,208},{23,0,208},{23,0,208},{21,29,16},{21,29,16},{21,29,16},{22,25,17},{18,28,8},{18,28,8},{25,31,804},{24,31,334},{24,30,283},{24,29,234},{24,31,957},{22,31,297},{22,30,33},
{22,28,273},{20,31,913},{19,28,218},{26,31,313},{25,31,51},{25,30,21},{25,29,26},{31,21,723},{22,31,281},{22,30,17},{20,28,209},{31,25,723},{20,28,209},{24,31,234},{24,31,234},{24,31,234},{24,29,218},{23,31,180},{22,30,17},{22,30,17},{22,27,18},{18,31,171},{20,27,27},{25,31,2},{25,31,2},{25,31,2},{25,28,5},{31,18,162},{22,30,1},{22,30,1},{22,27,2},{26,26,162},
{22,27,2},{31,24,200},{25,31,50},{26,29,16},{24,29,16},{31,24,200},{24,31,200},{24,29,16},{0,28,208},{24,31,200},{0,28,208},{24,0,218},{24,0,218},{24,0,218},{24,0,218},{22,30,16},{22,30,16},{22,30,16},{23,26,17},{19,29,8},{19,29,8},{26,31,930},{25,31,492},{25,31,283},{25,30,234},{25,31,1068},{24,31,389},{23,31,33},{23,29,273},{21,31,999},{20,29,213},{27,31,379},
{26,31,149},{26,31,21},{26,30,26},{29,27,723},{24,31,364},{23,31,17},{21,29,209},{27,29,723},{21,29,209},{25,31,267},{25,31,267},{25,31,267},{25,30,218},{24,31,205},{23,31,17},{23,31,17},{23,28,20},{20,31,189},{21,28,17},{26,31,5},{26,31,5},{26,31,5},{26,29,5},{30,22,162},{23,31,1},{23,31,1},{22,28,1},{27,27,162},{22,28,1},{30,28,200},{27,31,90},{27,30,16},
{25,30,16},{30,28,200},{28,30,200},{25,30,16},{0,29,208},{28,30,200},{0,29,208},{25,0,218},{25,0,218},{25,0,218},{25,0,218},{23,31,16},{23,31,16},{23,31,16},{23,28,20},{20,29,5},{20,29,5},{27,31,877},{26,31,585},{26,31,329},{26,31,209},{26,31,990},{25,31,397},{25,31,36},{24,30,165},{23,31,910},{22,30,122},{28,31,306},{28,31,162},{27,31,36},{27,31,4},{31,26,546},
{26,31,306},{25,31,20},{22,30,113},{29,29,546},{22,30,113},{26,31,329},{26,31,329},{26,31,329},{26,31,209},{25,31,276},{25,31,36},{25,31,36},{24,29,18},{22,31,230},{22,29,26},{27,31,36},{27,31,36},{27,31,36},{27,31,4},{30,25,162},{25,31,20},{25,31,20},{24,29,2},{30,27,162},{24,29,2},{30,30,113},{29,31,61},{28,31,0},{26,31,1},{30,30,113},{30,30,113},{26,31,1},
{0,30,113},{30,30,113},{0,30,113},{26,0,208},{26,0,208},{26,0,208},{26,0,208},{25,30,17},{25,30,17},{25,30,17},{25,28,17},{21,31,5},{21,31,5},{28,31,731},{27,31,573},{27,31,404},{27,31,244},{27,31,797},{26,31,354},{26,31,98},{25,30,82},{25,31,737},{23,31,58},{29,31,190},{29,31,126},{28,31,65},{28,31,5},{30,29,333},{28,31,185},{27,31,52},{23,31,49},{29,30,333},
{23,31,49},{27,31,404},{27,31,404},{27,31,404},{27,31,244},{27,31,356},{26,31,98},{26,31,98},{25,30,18},{24,31,315},{23,30,26},{28,31,65},{28,31,65},{28,31,65},{28,31,5},{31,26,162},{27,31,52},{27,31,52},{25,30,2},{29,29,162},{25,30,2},{31,30,25},{30,31,13},{30,31,4},{29,31,1},{31,30,25},{30,31,25},{29,31,1},{0,31,49},{30,31,25},{0,31,49},{27,0,208},
{27,0,208},{27,0,208},{27,0,208},{26,31,17},{26,31,17},{26,31,17},{26,29,17},{23,31,9},{23,31,9},{29,31,642},{28,31,524},{28,31,443},{28,31,299},{28,31,623},{28,31,335},{27,31,201},{26,31,17},{27,31,610},{24,31,26},{30,31,131},{30,31,115},{29,31,101},{29,31,37},{31,29,193},{29,31,121},{28,31,85},{26,31,1},{29,31,193},{26,31,1},{28,31,443},{28,31,443},{28,31,443},
{28,31,299},{28,31,398},{27,31,201},{27,31,201},{26,31,17},{26,31,378},{24,31,26},{29,31,101},{29,31,101},{29,31,101},{29,31,37},{31,28,145},{28,31,85},{28,31,85},{26,31,1},{30,30,145},{26,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,218},{28,0,218},{28,0,218},{28,0,218},{27,31,32},
{27,31,32},{27,31,32},{27,30,17},{24,31,26},{24,31,26},{29,31,418},{29,31,354},{29,31,318},{29,31,254},{29,31,370},{28,31,223},{28,31,142},{28,31,25},{28,31,358},{26,31,58},{30,31,51},{30,31,35},{30,31,26},{30,31,10},{31,30,54},{30,31,34},{30,31,25},{28,31,0},{30,31,54},{28,31,0},{29,31,318},{29,31,318},{29,31,318},{29,31,254},{29,31,270},{28,31,142},{28,31,142},
{28,31,25},{27,31,249},{26,31,58},{30,31,26},{30,31,26},{30,31,26},{30,31,10},{30,31,41},{30,31,25},{30,31,25},{28,31,0},{31,30,41},{28,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{29,0,218},{29,0,218},{29,0,218},{29,0,218},{28,31,61},{28,31,61},{28,31,61},{28,31,25},{26,31,58},
{26,31,58},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{0,6,925},{0,5,658},{0,4,274},{0,3,670},{0,3,1039},{0,3,751},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{3,1,925},{0,5,658},{0,4,274},{0,3,670},{6,0,925},{0,3,670},{0,4,1},{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{0,1,98},{0,1,59},{0,4,1},
{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{2,0,85},{0,1,50},{5,1,421},{0,7,113},{0,5,5},{0,4,130},{5,1,421},{9,0,421},{0,4,130},{0,3,445},{9,0,421},{0,3,445},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,12,425},{0,9,52},{0,6,10},
{0,6,82},{0,8,1261},{0,6,805},{0,5,322},{0,4,833},{0,4,1445},{0,4,977},{0,12,425},{0,9,52},{0,6,10},{0,6,82},{3,3,1261},{0,6,805},{0,5,322},{0,4,833},{8,0,1261},{0,4,833},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{0,3,225},{0,3,117},{0,3,117},{0,2,125},{0,2,257},{0,2,161},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{2,0,221},
{0,3,117},{0,3,117},{0,2,125},{2,1,221},{0,2,125},{7,0,421},{0,9,52},{1,6,5},{0,6,82},{7,0,421},{10,1,421},{0,6,82},{0,4,433},{10,1,421},{0,4,433},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,14,430},{0,11,29},{0,7,74},{0,7,46},{0,10,1514},{0,8,874},{0,6,307},
{0,5,917},{0,5,1814},{0,4,1074},{0,14,430},{0,11,29},{1,7,35},{0,7,46},{6,0,1514},{0,8,874},{0,6,307},{0,5,917},{10,0,1514},{0,5,917},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{0,5,340},{0,5,160},{0,5,160},{0,3,169},{0,3,421},{0,3,250},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{2,2,338},{0,5,160},{0,5,160},{0,3,169},{2,2,338},
{0,3,169},{8,1,421},{0,11,20},{2,7,5},{0,7,37},{8,1,421},{14,0,421},{0,7,37},{0,5,433},{14,0,421},{0,5,433},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{1,15,494},{1,12,102},{1,8,137},{1,8,122},{0,12,1517},{0,9,737},{0,7,185},{0,6,794},{0,7,1982},{0,5,1062},{1,15,430},
{1,12,38},{2,8,34},{1,8,58},{7,1,1514},{0,9,737},{0,7,185},{0,6,794},{11,1,1514},{0,6,794},{1,11,74},{1,11,74},{1,11,74},{1,7,74},{0,8,338},{0,6,98},{0,6,98},{0,4,97},{0,4,514},{0,4,241},{1,11,10},{1,11,10},{1,11,10},{1,7,10},{3,3,338},{0,6,98},{0,6,98},{0,4,97},{8,0,338},{0,4,97},{10,0,421},{0,13,9},{3,8,4},
{0,8,16},{10,0,421},{17,0,421},{0,8,16},{0,6,433},{17,0,421},{0,6,433},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{1,18,629},{1,14,213},{2,9,354},{1,9,218},{0,15,1517},{0,11,630},{0,9,50},{0,7,670},{0,8,2198},{0,6,1109},{3,15,437},{2,13,41},{3,9,33},{2,9,53},{8,2,1514},
{0,11,630},{0,9,50},{0,7,670},{12,2,1514},{0,7,670},{1,13,209},{1,13,209},{1,13,209},{1,8,212},{0,11,338},{0,8,41},{0,8,41},{0,5,50},{0,6,680},{0,5,275},{3,10,17},{3,10,17},{3,10,17},{2,8,17},{6,1,338},{0,8,41},{0,8,41},{0,5,50},{11,0,338},{0,5,50},{12,0,421},{0,15,1},{4,9,5},{0,9,1},{12,0,421},{20,0,421},{0,9,1},
{0,7,445},{20,0,421},{0,7,445},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,7,1},{0,7,1},{0,7,1},{0,4,0},{0,3,106},{0,3,106},{2,19,821},{2,15,405},{2,11,570},{2,10,410},{0,18,1514},{0,13,577},{0,10,14},{0,8,602},{0,10,2462},{0,7,1175},{3,17,441},{3,14,41},{4,10,35},{3,10,53},{9,3,1514},{0,13,577},{0,10,14},{0,8,602},{18,0,1514},
{0,8,602},{2,14,401},{2,14,401},{2,14,401},{2,9,404},{0,13,340},{0,10,13},{0,10,13},{0,6,29},{0,7,851},{0,6,353},{3,13,17},{3,13,17},{3,13,17},{3,9,17},{8,0,338},{0,10,13},{0,10,13},{0,6,29},{5,5,338},{0,6,29},{13,1,421},{1,16,4},{5,10,5},{1,10,1},{13,1,421},{21,1,421},{1,10,1},{0,8,433},{21,1,421},{0,8,433},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,9,1},{0,9,1},{0,9,1},{0,6,4},{0,4,208},{0,4,208},{3,20,854},{3,16,437},{3,12,597},{3,11,443},{1,19,1515},{0,15,570},{1,11,15},{0,9,582},{0,11,2337},{0,9,933},{4,18,430},{4,15,29},{5,11,35},{4,11,46},{10,4,1514},{0,15,521},{1,11,14},{0,9,533},{19,1,1514},{0,9,533},{3,15,434},{3,15,434},{3,15,434},
{3,10,437},{1,14,341},{1,11,14},{1,11,14},{1,7,30},{0,8,755},{0,7,222},{4,14,10},{4,14,10},{4,14,10},{4,10,10},{9,1,338},{0,12,2},{0,12,2},{0,7,26},{16,0,338},{0,7,26},{15,0,421},{3,16,4},{6,11,5},{2,11,1},{15,0,421},{25,0,421},{2,11,1},{0,9,433},{25,0,421},{0,9,433},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{1,10,2},
{1,10,2},{1,10,2},{1,7,5},{0,6,157},{0,6,157},{4,21,866},{4,17,454},{4,13,609},{4,12,461},{2,20,1515},{1,16,570},{2,12,19},{1,10,582},{0,13,2214},{0,10,707},{5,19,430},{5,16,38},{6,12,34},{5,12,58},{14,0,1514},{0,16,458},{2,12,18},{0,10,482},{20,2,1514},{0,10,482},{4,16,445},{4,16,445},{4,16,445},{4,11,449},{2,15,341},{2,12,19},{2,12,19},
{2,8,26},{0,10,635},{0,8,106},{5,15,10},{5,15,10},{5,15,10},{5,11,10},{10,2,338},{1,13,2},{1,13,2},{1,8,16},{17,1,338},{1,8,16},{16,1,421},{3,18,4},{7,12,4},{3,12,0},{16,1,421},{26,1,421},{3,12,0},{0,10,433},{26,1,421},{0,10,433},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{2,11,2},{2,11,2},{2,11,2},{2,7,10},{0,8,90},
{0,8,90},{5,22,854},{5,18,438},{5,14,603},{5,13,443},{3,21,1517},{3,16,554},{3,13,21},{3,11,589},{0,15,2046},{0,11,535},{7,19,437},{6,17,41},{7,13,33},{6,13,53},{14,3,1514},{0,18,429},{3,13,21},{0,11,454},{26,0,1514},{0,11,454},{5,17,434},{5,17,434},{5,17,434},{5,12,437},{3,17,340},{3,13,20},{3,13,20},{3,9,29},{0,12,557},{0,10,49},{7,14,17},
{7,14,17},{7,14,17},{6,12,17},{13,0,338},{2,14,4},{2,14,4},{1,10,10},{20,1,338},{1,10,10},{17,2,421},{4,19,1},{8,13,5},{4,13,1},{17,2,421},{29,1,421},{4,13,1},{0,11,445},{29,1,421},{0,11,445},{5,0,433},{5,0,433},{5,0,433},{5,0,433},{3,12,1},{3,12,1},{3,12,1},{3,9,4},{0,10,40},{0,10,40},{6,23,854},{6,19,438},{6,15,603},
{6,14,443},{4,22,1515},{3,18,566},{4,14,15},{3,12,578},{0,16,1911},{0,12,458},{7,21,441},{7,18,41},{8,14,35},{7,14,53},{16,2,1514},{0,20,425},{4,14,14},{0,12,433},{27,1,1514},{0,12,433},{6,18,434},{6,18,434},{6,18,434},{6,13,437},{4,17,341},{4,14,14},{4,14,14},{4,10,30},{0,14,477},{0,11,35},{7,17,17},{7,17,17},{7,17,17},{7,13,17},{14,1,338},
{3,15,4},{3,15,4},{2,11,10},{24,0,338},{2,11,10},{18,3,421},{5,20,4},{9,14,5},{5,14,1},{18,3,421},{30,2,421},{5,14,1},{0,12,433},{30,2,421},{0,12,433},{6,0,433},{6,0,433},{6,0,433},{6,0,433},{4,13,2},{4,13,2},{4,13,2},{4,10,5},{0,12,25},{0,12,25},{7,24,854},{7,20,437},{7,16,597},{7,15,443},{5,23,1515},{4,19,570},{5,15,15},
{4,13,582},{0,18,1787},{0,13,442},{8,22,430},{8,19,29},{9,15,35},{8,15,46},{17,3,1514},{2,20,425},{5,15,14},{1,13,433},{28,2,1514},{1,13,433},{7,19,434},{7,19,434},{7,19,434},{7,14,437},{5,18,341},{5,15,14},{5,15,14},{5,11,30},{0,16,419},{1,12,45},{8,18,10},{8,18,10},{8,18,10},{8,14,10},{16,0,338},{4,16,2},{4,16,2},{3,12,17},{25,1,338},
{3,12,17},{20,2,421},{7,20,4},{10,15,5},{6,15,1},{20,2,421},{31,3,421},{6,15,1},{0,13,433},{31,3,421},{0,13,433},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{5,14,2},{5,14,2},{5,14,2},{5,11,5},{0,13,9},{0,13,9},{8,25,866},{8,21,454},{8,17,609},{8,16,461},{6,24,1515},{5,20,570},{6,16,19},{5,14,582},{0,20,1686},{1,14,442},{9,23,430},
{9,20,38},{10,16,34},{9,16,58},{18,4,1514},{3,21,425},{6,16,18},{2,14,433},{29,3,1514},{2,14,433},{8,20,445},{8,20,445},{8,20,445},{8,15,449},{6,19,341},{6,16,19},{6,16,19},{6,12,26},{0,17,372},{2,13,45},{9,19,10},{9,19,10},{9,19,10},{9,15,10},{17,1,338},{5,17,2},{5,17,2},{5,12,16},{26,2,338},{5,12,16},{23,0,421},{7,22,4},{11,16,4},
{7,16,0},{23,0,421},{30,5,421},{7,16,0},{0,14,433},{30,5,421},{0,14,433},{8,0,445},{8,0,445},{8,0,445},{8,0,445},{6,15,2},{6,15,2},{6,15,2},{6,11,10},{0,15,5},{0,15,5},{9,26,854},{9,22,438},{9,18,603},{9,17,443},{7,25,1517},{7,20,554},{7,17,21},{7,15,589},{0,22,1614},{2,15,462},{11,23,437},{10,21,41},{11,17,33},{10,17,53},{22,0,1514},
{3,23,422},{7,17,21},{3,15,446},{30,4,1514},{3,15,446},{9,21,434},{9,21,434},{9,21,434},{9,16,437},{7,21,340},{7,17,20},{7,17,20},{7,13,29},{0,19,347},{3,14,46},{11,18,17},{11,18,17},{11,18,17},{10,16,17},{17,4,338},{6,18,4},{6,18,4},{5,14,10},{29,2,338},{5,14,10},{24,1,421},{8,23,1},{12,17,5},{8,17,1},{24,1,421},{31,6,421},{8,17,1},
{0,15,445},{31,6,421},{0,15,445},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{7,16,1},{7,16,1},{7,16,1},{7,13,4},{2,16,8},{2,16,8},{10,27,854},{10,23,438},{10,19,603},{10,18,443},{8,26,1515},{7,22,566},{8,18,15},{7,16,578},{0,23,1566},{3,16,443},{11,25,441},{11,22,41},{12,18,35},{11,18,53},{23,1,1514},{4,24,425},{8,18,14},{4,16,433},{31,5,1514},
{4,16,433},{10,22,434},{10,22,434},{10,22,434},{10,17,437},{8,21,341},{8,18,14},{8,18,14},{8,14,30},{1,20,341},{4,15,35},{11,21,17},{11,21,17},{11,21,17},{11,17,17},{18,5,338},{7,19,4},{7,19,4},{6,15,10},{30,3,338},{6,15,10},{25,2,421},{9,24,4},{13,18,5},{9,18,1},{25,2,421},{29,9,421},{9,18,1},{0,16,433},{29,9,421},{0,16,433},{10,0,433},
{10,0,433},{10,0,433},{10,0,433},{8,17,2},{8,17,2},{8,17,2},{8,14,5},{3,17,8},{3,17,8},{11,28,854},{11,24,437},{11,20,597},{11,19,443},{9,27,1515},{8,23,570},{9,19,15},{8,17,582},{0,25,1533},{4,17,442},{12,26,430},{12,23,29},{13,19,35},{12,19,46},{24,2,1514},{6,24,425},{9,19,14},{5,17,433},{27,9,1514},{5,17,433},{11,23,434},{11,23,434},{11,23,434},
{11,18,437},{9,22,341},{9,19,14},{9,19,14},{9,15,30},{2,21,341},{5,16,45},{12,22,10},{12,22,10},{12,22,10},{12,18,10},{20,4,338},{8,20,2},{8,20,2},{7,16,17},{29,5,338},{7,16,17},{26,3,421},{11,24,4},{14,19,5},{10,19,1},{26,3,421},{30,10,421},{10,19,1},{0,17,433},{30,10,421},{0,17,433},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{9,18,2},
{9,18,2},{9,18,2},{9,15,5},{4,17,9},{4,17,9},{12,29,866},{12,25,454},{12,21,609},{12,20,461},{10,28,1515},{9,24,570},{10,20,19},{9,18,582},{0,27,1521},{5,18,442},{13,27,430},{13,24,38},{14,20,34},{13,20,58},{25,3,1514},{7,25,425},{10,20,18},{6,18,433},{28,10,1514},{6,18,433},{12,24,445},{12,24,445},{12,24,445},{12,19,449},{10,23,341},{10,20,19},{10,20,19},
{10,16,26},{3,22,341},{6,17,45},{13,23,10},{13,23,10},{13,23,10},{13,19,10},{24,0,338},{9,21,2},{9,21,2},{9,16,16},{30,6,338},{9,16,16},{28,2,421},{11,26,4},{15,20,4},{11,20,0},{28,2,421},{31,11,421},{11,20,0},{0,18,433},{31,11,421},{0,18,433},{12,0,445},{12,0,445},{12,0,445},{12,0,445},{10,19,2},{10,19,2},{10,19,2},{10,15,10},{4,19,5},
{4,19,5},{13,30,854},{13,26,438},{13,22,603},{13,21,443},{11,29,1517},{11,24,554},{11,21,21},{11,19,589},{1,28,1518},{6,19,462},{15,27,437},{14,25,41},{15,21,33},{14,21,53},{26,4,1514},{7,27,422},{11,21,21},{7,19,446},{31,10,1514},{7,19,446},{13,25,434},{13,25,434},{13,25,434},{13,20,437},{11,25,340},{11,21,20},{11,21,20},{11,17,29},{3,24,339},{7,18,46},{15,22,17},
{15,22,17},{15,22,17},{14,20,17},{24,3,338},{10,22,4},{10,22,4},{9,18,10},{28,9,338},{9,18,10},{31,0,421},{12,27,1},{16,21,5},{12,21,1},{31,0,421},{30,13,421},{12,21,1},{0,19,445},{30,13,421},{0,19,445},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{11,20,1},{11,20,1},{11,20,1},{11,17,4},{6,20,8},{6,20,8},{14,31,854},{14,27,438},{14,23,603},
{14,22,443},{12,30,1515},{11,26,566},{12,22,15},{11,20,578},{2,29,1518},{7,20,443},{15,29,441},{15,26,41},{16,22,35},{15,22,53},{30,0,1514},{8,28,425},{12,22,14},{8,20,433},{30,12,1514},{8,20,433},{14,26,434},{14,26,434},{14,26,434},{14,21,437},{12,25,341},{12,22,14},{12,22,14},{12,18,30},{5,24,341},{8,19,35},{15,25,17},{15,25,17},{15,25,17},{15,21,17},{22,9,338},
{11,23,4},{11,23,4},{10,19,10},{29,10,338},{10,19,10},{31,3,421},{13,28,4},{17,22,5},{13,22,1},{31,3,421},{31,14,421},{13,22,1},{0,20,433},{31,14,421},{0,20,433},{14,0,433},{14,0,433},{14,0,433},{14,0,433},{12,21,2},{12,21,2},{12,21,2},{12,18,5},{7,21,8},{7,21,8},{15,31,878},{15,28,437},{15,24,597},{15,23,443},{13,31,1515},{12,27,570},{13,23,15},
{12,21,582},{3,30,1518},{8,21,442},{16,30,430},{16,27,29},{17,23,35},{16,23,46},{31,1,1514},{10,28,425},{13,23,14},{9,21,433},{31,13,1514},{9,21,433},{15,27,434},{15,27,434},{15,27,434},{15,22,437},{13,26,341},{13,23,14},{13,23,14},{13,19,30},{6,25,341},{9,20,45},{16,26,10},{16,26,10},{16,26,10},{16,22,10},{24,8,338},{12,24,2},{12,24,2},{11,20,17},{30,11,338},
{11,20,17},{30,7,421},{15,28,4},{18,23,5},{14,23,1},{30,7,421},{30,16,421},{14,23,1},{0,21,433},{30,16,421},{0,21,433},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{13,22,2},{13,22,2},{13,22,2},{13,19,5},{8,21,9},{8,21,9},{16,31,926},{16,29,454},{16,25,609},{16,24,461},{14,31,1542},{13,28,570},{14,24,19},{13,22,582},{4,31,1521},{9,22,442},{17,31,430},
{17,28,38},{18,24,34},{17,24,58},{29,7,1514},{11,29,425},{14,24,18},{10,22,433},{27,17,1514},{10,22,433},{16,28,445},{16,28,445},{16,28,445},{16,23,449},{14,27,341},{14,24,19},{14,24,19},{14,20,26},{7,26,341},{10,21,45},{17,27,10},{17,27,10},{17,27,10},{17,23,10},{28,4,338},{13,25,2},{13,25,2},{13,20,16},{29,13,338},{13,20,16},{31,8,421},{15,30,4},{19,24,4},
{15,24,0},{31,8,421},{31,17,421},{15,24,0},{0,22,433},{31,17,421},{0,22,433},{16,0,445},{16,0,445},{16,0,445},{16,0,445},{14,23,2},{14,23,2},{14,23,2},{14,19,10},{8,23,5},{8,23,5},{17,31,1034},{17,30,438},{17,26,603},{17,25,443},{16,31,1598},{15,28,554},{15,25,21},{15,23,589},{6,31,1535},{10,23,462},{19,31,437},{18,29,41},{19,25,33},{18,25,53},{30,8,1514},
{11,31,422},{15,25,21},{11,23,446},{28,18,1514},{11,23,446},{17,29,434},{17,29,434},{17,29,434},{17,24,437},{15,29,340},{15,25,20},{15,25,20},{15,21,29},{7,28,339},{11,22,46},{19,26,17},{19,26,17},{19,26,17},{18,24,17},{31,2,338},{14,26,4},{14,26,4},{13,22,10},{27,16,338},{13,22,10},{31,11,421},{16,31,1},{20,25,5},{16,25,1},{31,11,421},{31,19,421},{16,25,1},
{0,23,445},{31,19,421},{0,23,445},{17,0,433},{17,0,433},{17,0,433},{17,0,433},{15,24,1},{15,24,1},{15,24,1},{15,21,4},{10,24,8},{10,24,8},{18,31,1166},{18,31,438},{18,27,603},{18,26,443},{17,31,1643},{15,30,566},{16,26,15},{15,24,578},{8,31,1566},{11,24,443},{20,31,458},{19,30,41},{20,26,35},{19,26,53},{31,9,1514},{13,31,429},{16,26,14},{12,24,433},{29,19,1514},
{12,24,433},{18,30,434},{18,30,434},{18,30,434},{18,25,437},{16,29,341},{16,26,14},{16,26,14},{16,22,30},{9,28,341},{12,23,35},{19,29,17},{19,29,17},{19,29,17},{19,25,17},{26,13,338},{15,27,4},{15,27,4},{14,23,10},{21,21,338},{14,23,10},{30,15,421},{18,31,5},{21,26,5},{17,26,1},{30,15,421},{30,21,421},{17,26,1},{0,24,433},{30,21,421},{0,24,433},{18,0,433},
{18,0,433},{18,0,433},{18,0,433},{16,25,2},{16,25,2},{16,25,2},{16,22,5},{11,25,8},{11,25,8},{20,31,1326},{19,31,470},{19,28,597},{19,27,443},{18,31,1742},{16,31,570},{17,27,15},{16,25,582},{10,31,1638},{12,25,442},{21,31,506},{20,31,29},{21,27,35},{20,27,46},{29,15,1514},{15,31,461},{17,27,14},{13,25,433},{30,20,1514},{13,25,433},{19,31,434},{19,31,434},{19,31,434},
{19,26,437},{17,30,341},{17,27,14},{17,27,14},{17,23,30},{10,29,341},{13,24,45},{20,30,10},{20,30,10},{20,30,10},{20,26,10},{28,12,338},{16,28,2},{16,28,2},{15,24,17},{22,22,338},{15,24,17},{31,16,421},{20,31,20},{22,27,5},{18,27,1},{31,16,421},{31,22,421},{18,27,1},{0,25,433},{31,22,421},{0,25,433},{19,0,433},{19,0,433},{19,0,433},{19,0,433},{17,26,2},
{17,26,2},{17,26,2},{17,23,5},{12,25,9},{12,25,9},{21,31,1470},{20,31,561},{20,29,609},{20,28,461},{19,31,1895},{18,31,578},{18,28,19},{17,26,582},{12,31,1761},{13,26,442},{22,31,590},{21,31,59},{22,28,34},{21,28,58},{30,16,1514},{17,31,530},{18,28,18},{14,26,433},{31,21,1514},{14,26,433},{20,31,461},{20,31,461},{20,31,461},{20,27,449},{18,31,341},{18,28,19},{18,28,19},
{18,24,26},{11,30,341},{14,25,45},{21,31,10},{21,31,10},{21,31,10},{21,27,10},{29,13,338},{17,29,2},{17,29,2},{17,24,16},{28,20,338},{17,24,16},{31,19,421},{21,31,50},{23,28,4},{19,28,0},{31,19,421},{30,24,421},{19,28,0},{0,26,433},{30,24,421},{0,26,433},{20,0,445},{20,0,445},{20,0,445},{20,0,445},{18,27,2},{18,27,2},{18,27,2},{18,23,10},{12,27,5},
{12,27,5},{22,31,1674},{21,31,753},{21,30,603},{21,29,443},{21,31,2046},{19,31,629},{19,29,21},{19,27,589},{15,31,1917},{14,27,462},{24,31,674},{23,31,120},{23,29,33},{22,29,53},{30,19,1514},{19,31,629},{19,29,21},{15,27,446},{27,25,1514},{15,27,446},{21,31,497},{21,31,497},{21,31,497},{21,28,437},{19,31,388},{19,29,20},{19,29,20},{19,25,29},{12,31,347},{15,26,46},{23,30,17},
{23,30,17},{23,30,17},{22,28,17},{29,16,338},{18,30,4},{18,30,4},{17,26,10},{31,20,338},{17,26,10},{30,23,421},{23,31,104},{24,29,5},{20,29,1},{30,23,421},{30,26,421},{20,29,1},{0,27,445},{30,26,421},{0,27,445},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{19,28,1},{19,28,1},{19,28,1},{19,25,4},{14,28,8},{14,28,8},{23,31,1902},{22,31,995},{22,31,603},
{22,30,443},{22,31,2235},{20,31,759},{20,30,15},{19,28,578},{17,31,2118},{15,28,443},{25,31,770},{24,31,250},{24,30,35},{23,30,53},{29,23,1514},{21,31,701},{20,30,14},{16,28,433},{28,26,1514},{16,28,433},{22,31,554},{22,31,554},{22,31,554},{22,29,437},{21,31,437},{20,30,14},{20,30,14},{20,26,30},{14,31,379},{16,27,35},{24,31,25},{24,31,25},{24,31,25},{23,29,17},{30,17,338},
{19,31,4},{19,31,4},{18,27,10},{25,25,338},{18,27,10},{31,24,421},{25,31,169},{25,30,5},{21,30,1},{31,24,421},{31,27,421},{21,30,1},{0,28,433},{31,27,421},{0,28,433},{22,0,433},{22,0,433},{22,0,433},{22,0,433},{20,29,2},{20,29,2},{20,29,2},{20,26,5},{15,29,8},{15,29,8},{24,31,2045},{24,31,1233},{23,31,629},{23,31,442},{24,31,2360},{22,31,914},{21,31,14},
{20,29,549},{19,31,2241},{16,29,409},{26,31,849},{25,31,395},{25,31,34},{24,31,45},{30,24,1459},{23,31,778},{21,31,13},{17,29,400},{29,27,1459},{17,29,400},{23,31,629},{23,31,629},{23,31,629},{23,30,437},{22,31,491},{21,31,14},{21,31,14},{21,27,30},{16,31,446},{17,28,45},{25,31,34},{25,31,34},{25,31,34},{24,30,10},{31,18,338},{21,31,13},{21,31,13},{19,28,17},{26,26,338},
{19,28,17},{30,28,392},{27,31,218},{26,31,4},{22,31,0},{30,28,392},{28,30,392},{22,31,0},{0,29,400},{28,30,392},{0,29,400},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{21,30,2},{21,30,2},{21,30,2},{21,27,5},{16,29,9},{16,29,9},{25,31,1767},{25,31,1167},{24,31,701},{24,31,449},{24,31,1976},{23,31,747},{22,31,66},{22,29,337},{20,31,1820},{17,30,217},{27,31,611},
{26,31,317},{26,31,61},{25,31,10},{31,24,1064},{25,31,587},{23,31,41},{18,30,208},{24,31,1064},{18,30,208},{24,31,701},{24,31,701},{24,31,701},{24,31,449},{23,31,581},{22,31,66},{22,31,66},{22,28,26},{18,31,530},{18,29,45},{26,31,61},{26,31,61},{26,31,61},{25,31,10},{30,22,338},{23,31,41},{23,31,41},{21,28,16},{27,27,338},{21,28,16},{29,31,200},{28,31,106},{27,31,1},
{25,31,1},{29,31,200},{31,29,200},{25,31,1},{0,30,208},{31,29,200},{0,30,208},{24,0,445},{24,0,445},{24,0,445},{24,0,445},{22,31,2},{22,31,2},{22,31,2},{22,27,10},{16,31,5},{16,31,5},{26,31,1542},{26,31,1122},{25,31,833},{25,31,497},{26,31,1647},{24,31,687},{24,31,203},{23,30,122},{22,31,1515},{19,30,110},{28,31,410},{28,31,266},{27,31,116},{27,31,20},{31,26,722},
{26,31,402},{25,31,100},{21,30,74},{29,29,722},{21,30,74},{25,31,833},{25,31,833},{25,31,833},{25,31,497},{24,31,707},{24,31,203},{24,31,203},{23,29,29},{20,31,619},{19,30,46},{27,31,116},{27,31,116},{27,31,116},{27,31,20},{30,25,338},{25,31,100},{25,31,100},{21,30,10},{30,27,338},{21,30,10},{31,29,61},{29,31,37},{29,31,1},{27,31,4},{31,29,61},{31,30,61},{27,31,4},
{0,30,73},{31,30,61},{0,30,73},{25,0,433},{25,0,433},{25,0,433},{25,0,433},{23,31,25},{23,31,25},{23,31,25},{23,29,4},{18,31,17},{18,31,17},{27,31,1406},{27,31,1134},{26,31,962},{26,31,602},{27,31,1454},{25,31,702},{25,31,341},{24,31,59},{24,31,1378},{20,31,35},{29,31,318},{28,31,250},{28,31,169},{28,31,61},{30,29,509},{28,31,313},{27,31,164},{22,31,10},{29,30,509},
{22,31,10},{26,31,962},{26,31,962},{26,31,962},{26,31,602},{26,31,827},{25,31,341},{25,31,341},{24,30,30},{22,31,747},{20,31,35},{28,31,169},{28,31,169},{28,31,169},{28,31,61},{31,26,338},{27,31,164},{27,31,164},{22,31,10},{29,29,338},{22,31,10},{31,30,9},{31,31,9},{30,31,4},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{26,0,433},
{26,0,433},{26,0,433},{26,0,433},{24,31,50},{24,31,50},{24,31,50},{24,30,5},{20,31,26},{20,31,26},{28,31,1135},{28,31,991},{27,31,874},{27,31,602},{28,31,1162},{26,31,618},{26,31,362},{25,31,5},{25,31,1087},{22,31,58},{30,31,219},{29,31,161},{29,31,125},{29,31,61},{31,29,297},{29,31,193},{28,31,117},{24,31,1},{30,30,297},{24,31,1},{27,31,874},{27,31,874},{27,31,874},
{27,31,602},{27,31,730},{26,31,362},{26,31,362},{25,31,5},{24,31,681},{22,31,58},{29,31,125},{29,31,125},{29,31,125},{29,31,61},{30,29,221},{28,31,117},{28,31,117},{24,31,1},{31,29,221},{24,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{27,0,433},{27,0,433},{27,0,433},{27,0,433},{25,31,101},
{25,31,101},{25,31,101},{25,31,5},{22,31,58},{22,31,58},{29,31,885},{28,31,751},{28,31,670},{28,31,526},{28,31,778},{27,31,483},{27,31,314},{26,31,10},{26,31,777},{24,31,117},{30,31,75},{30,31,59},{30,31,50},{30,31,34},{30,31,114},{29,31,81},{29,31,45},{27,31,0},{31,30,114},{27,31,0},{28,31,670},{28,31,670},{28,31,670},{28,31,526},{28,31,553},{27,31,314},{27,31,314},
{26,31,10},{25,31,518},{24,31,117},{30,31,50},{30,31,50},{30,31,50},{30,31,34},{31,29,85},{29,31,45},{29,31,45},{27,31,0},{29,31,85},{27,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,445},{28,0,445},{28,0,445},{28,0,445},{27,31,145},{27,31,145},{27,31,145},{26,31,10},{24,31,117},
{24,31,117},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{0,9,1899},{0,7,1355},{0,6,589},{0,4,1354},{0,5,2124},{0,4,1498},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{4,2,1896},{0,7,1355},{0,6,589},{0,4,1354},{7,1,1896},{0,4,1354},{0,6,0},{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{0,2,200},{0,1,134},{0,6,0},
{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{3,0,162},{0,2,104},{6,3,882},{0,10,225},{0,7,18},{0,6,265},{6,3,882},{8,3,882},{0,6,265},{0,5,890},{8,3,882},{0,5,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,15,884},{0,12,170},{0,8,8},
{0,7,202},{0,10,2360},{0,8,1530},{0,7,643},{0,5,1579},{0,6,2684},{0,5,1804},{0,15,884},{0,12,170},{0,8,8},{0,7,202},{5,2,2355},{0,8,1530},{0,7,643},{0,5,1579},{7,2,2355},{0,5,1579},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{0,4,340},{0,4,180},{0,4,180},{0,2,200},{0,2,392},{0,2,236},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{2,1,338},
{0,4,180},{0,4,180},{0,2,200},{1,2,338},{0,2,200},{8,2,882},{0,12,170},{0,8,8},{0,7,202},{8,2,882},{12,2,882},{0,7,202},{0,6,890},{12,2,882},{0,6,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{0,12,2899},{0,9,1773},{0,8,725},
{0,6,1854},{0,7,3348},{0,5,2124},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{2,9,2899},{0,9,1773},{0,8,725},{0,6,1854},{12,0,2899},{0,6,1854},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{0,6,580},{0,5,306},{0,5,306},{0,3,325},{0,3,667},{0,3,406},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{1,4,578},{0,5,306},{0,5,306},{0,3,325},{4,1,578},
{0,3,325},{9,3,882},{0,14,106},{1,9,8},{0,9,148},{9,3,882},{18,0,882},{0,9,148},{0,7,890},{18,0,882},{0,7,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,21,920},{0,16,89},{1,11,120},{0,10,121},{0,14,3051},{0,11,1709},{0,9,557},{0,7,1795},{0,8,3651},{0,6,2174},{1,19,886},
{0,16,89},{1,11,56},{0,10,121},{8,1,3048},{0,11,1709},{0,9,557},{0,7,1795},{6,5,3048},{0,7,1795},{0,14,37},{0,14,37},{0,14,37},{0,8,37},{0,8,648},{0,7,274},{0,7,274},{0,4,277},{0,4,824},{0,4,421},{1,12,4},{1,12,4},{1,12,4},{1,8,8},{3,3,648},{0,7,274},{0,7,274},{0,4,277},{8,0,648},{0,4,277},{10,4,882},{0,16,53},{2,10,8},
{0,10,85},{10,4,882},{19,1,882},{0,10,85},{0,8,900},{19,1,882},{0,8,900},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{1,22,995},{1,17,158},{1,12,230},{1,11,186},{0,17,3051},{0,13,1579},{0,10,346},{0,8,1630},{0,9,3924},{0,7,2173},{2,20,885},{2,16,90},{2,12,53},{1,11,122},{8,4,3048},
{0,13,1579},{0,10,346},{0,8,1630},{14,2,3048},{0,8,1630},{1,15,113},{1,15,113},{1,15,113},{1,9,117},{0,11,648},{0,9,169},{0,9,169},{0,5,200},{0,6,990},{0,5,425},{2,13,2},{2,13,2},{2,13,2},{2,9,2},{6,1,648},{0,9,169},{0,9,169},{0,5,200},{11,0,648},{0,5,200},{13,2,882},{0,18,17},{3,11,18},{0,11,34},{13,2,882},{22,1,882},{0,11,34},
{0,9,890},{22,1,882},{0,9,890},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{1,24,1173},{1,19,306},{2,13,422},{1,12,318},{0,20,3048},{0,15,1443},{0,12,204},{0,9,1483},{0,11,4212},{0,8,2174},{3,21,885},{3,17,90},{3,13,53},{2,12,117},{12,0,3048},{0,15,1443},{0,12,204},{0,9,1483},{20,0,3048},
{0,9,1483},{1,18,290},{1,18,290},{1,18,290},{1,11,289},{0,13,650},{0,11,109},{0,11,109},{0,7,148},{0,7,1161},{0,6,473},{3,14,2},{3,14,2},{3,14,2},{3,10,2},{8,0,648},{0,11,109},{0,11,109},{0,7,148},{5,5,648},{0,7,148},{14,3,882},{0,20,8},{4,12,8},{0,12,8},{14,3,882},{26,0,882},{0,12,8},{0,10,890},{26,0,882},{0,10,890},{1,0,289},
{1,0,289},{1,0,289},{1,0,289},{0,8,1},{0,8,1},{0,8,1},{0,5,4},{0,3,145},{0,3,145},{2,25,1365},{2,20,497},{2,14,713},{2,13,510},{0,23,3051},{0,16,1278},{0,13,86},{0,10,1354},{0,12,4609},{0,9,2228},{4,22,886},{3,19,94},{4,14,56},{3,13,117},{13,1,3048},{0,16,1278},{0,13,86},{0,10,1354},{21,1,3048},{0,10,1354},{2,19,482},{2,19,482},{2,19,482},
{2,12,481},{0,16,648},{0,12,72},{0,12,72},{0,8,101},{0,8,1352},{0,7,557},{4,15,5},{4,15,5},{4,15,5},{4,11,5},{9,1,648},{0,12,72},{0,12,72},{0,8,101},{16,0,648},{0,8,101},{16,2,882},{1,21,8},{5,13,8},{0,13,5},{16,2,882},{27,1,882},{0,13,5},{0,11,890},{27,1,882},{0,11,890},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,10,1},
{0,10,1},{0,10,1},{0,6,1},{0,5,261},{0,5,261},{2,28,1667},{2,22,793},{3,15,1033},{2,14,793},{0,25,3048},{0,18,1170},{0,14,36},{0,11,1243},{0,14,5005},{0,10,2318},{5,23,886},{4,20,89},{5,15,56},{4,14,121},{14,2,3048},{0,18,1170},{0,14,36},{0,11,1243},{25,0,3048},{0,11,1243},{2,21,786},{2,21,786},{2,21,786},{2,14,789},{0,19,650},{0,14,32},{0,14,32},
{0,9,50},{0,9,1619},{0,8,661},{5,16,4},{5,16,4},{5,16,4},{5,12,8},{10,2,648},{0,14,32},{0,14,32},{0,9,50},{17,1,648},{0,9,50},{17,3,882},{2,22,8},{6,14,8},{1,14,5},{17,3,882},{28,2,882},{1,14,5},{0,12,900},{28,2,882},{0,12,900},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{0,13,1},{0,13,1},{0,13,1},{0,8,4},{0,6,405},
{0,6,405},{3,29,1784},{3,23,902},{4,16,1186},{3,15,910},{1,26,3055},{0,20,1095},{1,15,47},{0,12,1159},{0,16,4945},{0,12,2084},{6,24,885},{6,20,90},{6,16,53},{5,15,122},{12,8,3048},{0,20,1059},{0,16,41},{0,12,1123},{28,0,3048},{0,12,1123},{3,23,901},{3,23,901},{3,23,901},{3,15,901},{1,20,652},{1,15,38},{1,15,38},{1,10,44},{0,11,1577},{0,9,545},{6,17,2},
{6,17,2},{6,17,2},{6,13,2},{13,0,648},{0,16,5},{0,16,5},{0,10,13},{20,1,648},{0,10,13},{17,6,882},{3,23,2},{7,15,18},{3,15,10},{17,6,882},{31,2,882},{3,15,10},{0,13,890},{31,2,882},{0,13,890},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{1,14,4},{1,14,4},{1,14,4},{1,9,5},{0,8,373},{0,8,373},{4,30,1772},{4,24,898},{5,17,1186},
{4,16,898},{2,27,3055},{1,21,1095},{2,16,33},{1,13,1159},{0,17,4639},{0,13,1730},{7,25,885},{7,21,90},{7,17,53},{6,16,117},{16,4,3048},{0,21,996},{2,16,29},{0,13,1054},{29,1,3048},{0,13,1054},{4,23,891},{4,23,891},{4,23,891},{4,16,894},{2,21,652},{2,16,29},{2,16,29},{2,11,44},{0,13,1452},{0,11,365},{7,18,2},{7,18,2},{7,18,2},{7,14,2},{14,1,648},
{0,18,1},{0,18,1},{0,11,4},{24,0,648},{0,11,4},{22,0,882},{4,24,8},{8,16,8},{3,16,5},{22,0,882},{30,4,882},{3,16,5},{0,14,890},{30,4,882},{0,14,890},{4,0,890},{4,0,890},{4,0,890},{4,0,890},{2,15,4},{2,15,4},{2,15,4},{2,10,5},{0,9,269},{0,9,269},{5,31,1772},{5,25,898},{6,18,1186},{5,17,898},{3,28,3055},{2,22,1095},{3,17,33},
{2,14,1159},{0,19,4419},{0,14,1444},{8,26,886},{7,23,94},{8,18,56},{7,17,117},{17,5,3048},{0,23,936},{3,17,29},{0,14,1003},{30,2,3048},{0,14,1003},{5,24,891},{5,24,891},{5,24,891},{5,17,894},{3,22,652},{3,17,29},{3,17,29},{3,12,41},{0,15,1296},{0,12,235},{8,19,5},{8,19,5},{8,19,5},{8,15,5},{16,0,648},{1,19,1},{1,19,1},{1,12,1},{25,1,648},
{1,12,1},{23,1,882},{5,25,8},{9,17,8},{4,17,5},{23,1,882},{31,5,882},{4,17,5},{0,15,890},{31,5,882},{0,15,890},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{3,16,4},{3,16,4},{3,16,4},{3,11,5},{0,11,185},{0,11,185},{6,31,1790},{6,26,898},{7,19,1186},{6,18,898},{4,29,3057},{3,23,1095},{4,18,45},{3,15,1159},{0,20,4156},{0,15,1226},{9,27,886},
{8,24,89},{9,19,56},{8,18,121},{18,6,3048},{0,25,909},{4,18,36},{0,15,970},{31,3,3048},{0,15,970},{6,25,891},{6,25,891},{6,25,891},{6,18,894},{4,23,659},{4,18,41},{4,18,41},{3,13,46},{0,16,1137},{0,13,137},{9,20,4},{9,20,4},{9,20,4},{9,16,8},{17,1,648},{2,20,2},{2,20,2},{2,13,1},{26,2,648},{2,13,1},{24,2,882},{6,26,8},{10,18,8},
{5,18,5},{24,2,882},{27,9,882},{5,18,5},{0,16,900},{27,9,882},{0,16,900},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{4,17,10},{4,17,10},{4,17,10},{4,12,13},{0,13,136},{0,13,136},{8,31,1844},{7,27,902},{8,20,1186},{7,19,910},{5,30,3055},{4,24,1095},{5,19,47},{4,16,1159},{0,22,3940},{0,16,1055},{10,28,885},{10,24,90},{10,20,53},{9,19,122},{22,2,3048},
{0,27,886},{4,20,41},{0,17,926},{22,10,3048},{0,17,926},{7,27,901},{7,27,901},{7,27,901},{7,19,901},{5,24,652},{5,19,38},{5,19,38},{5,14,44},{0,18,1002},{0,15,110},{10,21,2},{10,21,2},{10,21,2},{10,17,2},{17,4,648},{3,21,4},{3,21,4},{3,14,5},{29,2,648},{3,14,5},{27,0,882},{7,27,2},{11,19,18},{7,19,10},{27,0,882},{30,9,882},{7,19,10},
{0,17,890},{30,9,882},{0,17,890},{7,0,900},{7,0,900},{7,0,900},{7,0,900},{5,18,4},{5,18,4},{5,18,4},{5,13,5},{0,15,74},{0,15,74},{9,31,1886},{8,28,898},{9,21,1186},{8,20,898},{6,31,3055},{5,25,1095},{6,20,33},{5,17,1159},{0,23,3820},{0,18,963},{11,29,885},{11,25,90},{11,21,53},{10,20,117},{23,3,3048},{1,28,888},{6,20,29},{0,18,899},{28,8,3048},
{0,18,899},{8,27,891},{8,27,891},{8,27,891},{8,20,894},{6,25,652},{6,20,29},{6,20,29},{6,15,44},{0,20,876},{0,16,102},{11,22,2},{11,22,2},{11,22,2},{11,18,2},{18,5,648},{4,22,1},{4,22,1},{4,15,4},{30,3,648},{4,15,4},{26,4,882},{8,28,8},{12,20,8},{7,20,5},{26,4,882},{31,10,882},{7,20,5},{0,18,890},{31,10,882},{0,18,890},{8,0,890},
{8,0,890},{8,0,890},{8,0,890},{6,19,4},{6,19,4},{6,19,4},{6,14,5},{0,17,29},{0,17,29},{10,31,1964},{9,29,898},{10,22,1186},{9,21,898},{7,31,3100},{6,26,1095},{7,21,33},{6,18,1159},{0,25,3679},{0,19,899},{12,30,886},{11,27,94},{12,22,56},{11,21,117},{21,9,3048},{2,29,888},{7,21,29},{0,19,890},{29,9,3048},{0,19,890},{9,28,891},{9,28,891},{9,28,891},
{9,21,894},{7,26,652},{7,21,29},{7,21,29},{7,16,41},{0,22,800},{2,16,98},{12,23,5},{12,23,5},{12,23,5},{12,19,5},{20,4,648},{5,23,1},{5,23,1},{5,16,1},{29,5,648},{5,16,1},{30,0,882},{9,29,8},{13,21,8},{8,21,5},{30,0,882},{30,12,882},{8,21,5},{0,19,890},{30,12,882},{0,19,890},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{7,20,4},
{7,20,4},{7,20,4},{7,15,5},{0,19,9},{0,19,9},{11,31,2078},{10,30,898},{11,23,1186},{10,22,898},{9,31,3181},{7,27,1095},{8,22,45},{7,19,1159},{0,27,3523},{0,20,908},{13,31,886},{12,28,89},{13,23,56},{12,22,121},{22,10,3048},{3,30,888},{8,22,36},{1,20,901},{30,10,3048},{1,20,901},{10,29,891},{10,29,891},{10,29,891},{10,22,894},{8,27,659},{8,22,41},{8,22,41},
{7,17,46},{0,23,747},{3,17,98},{13,24,4},{13,24,4},{13,24,4},{13,20,8},{24,0,648},{6,24,2},{6,24,2},{6,17,1},{30,6,648},{6,17,1},{31,1,882},{10,30,8},{14,22,8},{9,22,5},{31,1,882},{31,13,882},{9,22,5},{0,20,900},{31,13,882},{0,20,900},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{8,21,10},{8,21,10},{8,21,10},{8,16,13},{0,20,8},
{0,20,8},{12,31,2228},{11,31,902},{12,24,1186},{11,23,910},{10,31,3256},{8,28,1095},{9,23,47},{8,20,1159},{0,29,3364},{2,21,894},{14,31,915},{14,28,90},{14,24,53},{13,23,122},{29,1,3048},{4,31,886},{8,24,41},{2,21,890},{26,14,3048},{2,21,890},{11,31,901},{11,31,901},{11,31,901},{11,23,901},{9,28,652},{9,23,38},{9,23,38},{9,18,44},{0,25,705},{3,19,101},{14,25,2},
{14,25,2},{14,25,2},{14,21,2},{24,3,648},{7,25,4},{7,25,4},{7,18,5},{28,9,648},{7,18,5},{31,4,882},{11,31,2},{15,23,18},{11,23,10},{31,4,882},{24,19,882},{11,23,10},{0,21,890},{24,19,882},{0,21,890},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{9,22,4},{9,22,4},{9,22,4},{9,17,5},{2,21,4},{2,21,4},{13,31,2414},{12,31,907},{13,25,1186},
{12,24,898},{11,31,3391},{9,29,1095},{10,24,33},{9,21,1159},{0,31,3276},{3,22,894},{15,31,981},{15,29,90},{15,25,53},{14,24,117},{30,2,3048},{6,31,906},{10,24,29},{3,22,890},{27,15,3048},{3,22,890},{12,31,891},{12,31,891},{12,31,891},{12,24,894},{10,29,652},{10,24,29},{10,24,29},{10,19,44},{0,27,665},{4,20,102},{15,26,2},{15,26,2},{15,26,2},{15,22,2},{22,9,648},
{8,26,1},{8,26,1},{8,19,4},{29,10,648},{8,19,4},{30,8,882},{12,31,17},{16,24,8},{11,24,5},{30,8,882},{28,18,882},{11,24,5},{0,22,890},{28,18,882},{0,22,890},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{10,23,4},{10,23,4},{10,23,4},{10,18,5},{3,22,4},{3,22,4},{15,31,2606},{13,31,987},{14,26,1186},{13,25,898},{13,31,3517},{10,30,1095},{11,25,33},
{10,22,1159},{1,31,3300},{4,23,899},{17,31,1014},{15,31,94},{16,26,56},{15,25,117},{31,3,3048},{8,31,936},{11,25,29},{4,23,890},{23,19,3048},{4,23,890},{13,31,906},{13,31,906},{13,31,906},{13,25,894},{11,30,652},{11,25,29},{11,25,29},{11,20,41},{0,29,651},{6,20,98},{16,27,5},{16,27,5},{16,27,5},{16,23,5},{24,8,648},{9,27,1},{9,27,1},{9,20,1},{30,11,648},
{9,20,1},{31,9,882},{14,31,37},{17,25,8},{12,25,5},{31,9,882},{29,19,882},{12,25,5},{0,23,890},{29,19,882},{0,23,890},{13,0,890},{13,0,890},{13,0,890},{13,0,890},{11,24,4},{11,24,4},{11,24,4},{11,19,5},{3,24,5},{3,24,5},{16,31,2792},{15,31,1079},{15,27,1186},{14,26,898},{14,31,3652},{11,31,1095},{12,26,45},{11,23,1159},{3,31,3436},{4,24,908},{18,31,1080},
{17,31,110},{17,27,56},{16,26,121},{26,14,3048},{10,31,996},{12,26,36},{5,24,901},{22,21,3048},{5,24,901},{14,31,939},{14,31,939},{14,31,939},{14,26,894},{12,31,659},{12,26,41},{12,26,41},{11,21,46},{1,30,651},{7,21,98},{17,28,4},{17,28,4},{17,28,4},{17,24,8},{28,4,648},{10,28,2},{10,28,2},{10,21,1},{29,13,648},{10,21,1},{29,15,882},{16,31,80},{18,26,8},
{13,26,5},{29,15,882},{30,20,882},{13,26,5},{0,24,900},{30,20,882},{0,24,900},{14,0,890},{14,0,890},{14,0,890},{14,0,890},{12,25,10},{12,25,10},{12,25,10},{12,20,13},{4,24,8},{4,24,8},{17,31,3038},{16,31,1268},{16,28,1186},{15,27,910},{15,31,3879},{12,31,1146},{13,27,47},{12,24,1159},{5,31,3667},{6,25,894},{19,31,1205},{18,31,147},{18,28,53},{17,27,122},{30,10,3048},
{12,31,1110},{12,28,41},{6,25,890},{30,18,3048},{6,25,890},{16,31,979},{16,31,979},{16,31,979},{15,27,901},{13,31,670},{13,27,38},{13,27,38},{13,22,44},{2,31,648},{7,23,101},{18,29,2},{18,29,2},{18,29,2},{18,25,2},{31,2,648},{11,29,4},{11,29,4},{11,22,5},{27,16,648},{11,22,5},{29,18,882},{18,31,146},{19,27,18},{15,27,10},{29,18,882},{28,23,882},{15,27,10},
{0,25,890},{28,23,882},{0,25,890},{15,0,900},{15,0,900},{15,0,900},{15,0,900},{13,26,4},{13,26,4},{13,26,4},{13,21,5},{6,25,4},{6,25,4},{18,31,3308},{17,31,1502},{17,29,1186},{16,28,898},{17,31,4077},{14,31,1230},{14,28,33},{13,25,1159},{8,31,3820},{7,26,894},{21,31,1368},{19,31,261},{19,29,53},{18,28,117},{31,11,3048},{14,31,1226},{14,28,29},{7,26,890},{31,19,3048},
{7,26,890},{17,31,1018},{17,31,1018},{17,31,1018},{16,28,894},{14,31,724},{14,28,29},{14,28,29},{14,23,44},{4,31,665},{8,24,102},{19,30,2},{19,30,2},{19,30,2},{19,26,2},{26,13,648},{12,30,1},{12,30,1},{12,23,4},{21,21,648},{12,23,4},{30,19,882},{20,31,193},{20,28,8},{15,28,5},{30,19,882},{27,25,882},{15,28,5},{0,26,890},{27,25,882},{0,26,890},{16,0,890},
{16,0,890},{16,0,890},{16,0,890},{14,27,4},{14,27,4},{14,27,4},{14,22,5},{7,26,4},{7,26,4},{19,31,3614},{18,31,1804},{18,30,1186},{17,29,898},{18,31,4284},{15,31,1417},{15,29,33},{14,26,1159},{9,31,4036},{8,27,899},{22,31,1494},{20,31,405},{20,30,56},{19,29,117},{29,17,3048},{16,31,1395},{15,29,29},{8,27,890},{27,23,3048},{8,27,890},{18,31,1075},{18,31,1075},{18,31,1075},
{17,29,894},{16,31,787},{15,29,29},{15,29,29},{15,24,41},{6,31,705},{10,24,98},{20,31,5},{20,31,5},{20,31,5},{20,27,5},{28,12,648},{13,31,1},{13,31,1},{13,24,1},{22,22,648},{13,24,1},{29,23,882},{22,31,277},{21,29,8},{16,29,5},{29,23,882},{28,26,882},{16,29,5},{0,27,890},{28,26,882},{0,27,890},{17,0,890},{17,0,890},{17,0,890},{17,0,890},{15,28,4},
{15,28,4},{15,28,4},{15,23,5},{7,28,5},{7,28,5},{20,31,4014},{19,31,2174},{19,31,1186},{18,30,898},{19,31,4545},{17,31,1725},{16,30,45},{15,27,1159},{11,31,4300},{8,28,908},{23,31,1656},{22,31,585},{21,31,56},{20,30,121},{30,18,3048},{18,31,1563},{16,30,36},{9,28,901},{26,25,3048},{9,28,901},{19,31,1150},{19,31,1150},{19,31,1150},{18,30,894},{17,31,841},{16,30,41},{16,30,41},
{15,25,46},{8,31,747},{11,25,98},{21,31,20},{21,31,20},{21,31,20},{21,28,8},{29,13,648},{15,31,5},{15,31,5},{14,25,1},{28,20,648},{14,25,1},{30,24,882},{23,31,397},{22,30,8},{17,30,5},{30,24,882},{29,27,882},{17,30,5},{0,28,900},{29,27,882},{0,28,900},{18,0,890},{18,0,890},{18,0,890},{18,0,890},{16,29,10},{16,29,10},{16,29,10},{16,24,13},{8,28,8},
{8,28,8},{22,31,4123},{21,31,2404},{20,31,1278},{19,31,901},{20,31,4626},{18,31,1849},{17,31,38},{16,28,1006},{14,31,4330},{10,29,789},{24,31,1629},{23,31,715},{22,31,65},{22,30,101},{31,19,2814},{20,31,1505},{17,31,34},{10,29,785},{27,26,2814},{10,29,785},{20,31,1278},{20,31,1278},{20,31,1278},{19,31,901},{18,31,948},{17,31,38},{17,31,38},{17,26,44},{10,31,840},{11,27,101},{22,31,65},
{22,31,65},{22,31,65},{22,29,2},{29,16,648},{17,31,34},{17,31,34},{15,26,5},{31,20,648},{15,26,5},{31,25,761},{25,31,425},{23,31,9},{19,31,1},{31,25,761},{28,29,761},{19,31,1},{0,29,785},{28,29,761},{0,29,785},{19,0,900},{19,0,900},{19,0,900},{19,0,900},{17,30,4},{17,30,4},{17,30,4},{17,25,5},{10,29,4},{10,29,4},{23,31,3735},{22,31,2314},{21,31,1395},
{20,31,899},{22,31,4090},{19,31,1618},{18,31,104},{17,29,686},{15,31,3826},{11,29,507},{25,31,1285},{24,31,609},{23,31,122},{23,31,37},{30,22,2249},{21,31,1186},{19,31,74},{13,29,482},{27,27,2249},{13,29,482},{21,31,1395},{21,31,1395},{21,31,1395},{20,31,899},{19,31,1086},{18,31,104},{18,31,104},{18,27,44},{12,31,969},{12,28,102},{23,31,122},{23,31,122},{23,31,122},{23,30,2},{30,17,648},
{19,31,74},{19,31,74},{16,27,4},{25,25,648},{16,27,4},{31,26,481},{27,31,269},{25,31,0},{21,31,0},{31,26,481},{31,28,481},{21,31,0},{0,29,481},{31,28,481},{0,29,481},{20,0,890},{20,0,890},{20,0,890},{20,0,890},{18,31,4},{18,31,4},{18,31,4},{18,26,5},{11,30,4},{11,30,4},{23,31,3399},{23,31,2260},{22,31,1530},{21,31,954},{23,31,3639},{20,31,1402},{19,31,238},
{18,29,405},{17,31,3443},{12,30,314},{26,31,1009},{25,31,525},{25,31,164},{24,31,5},{30,24,1769},{23,31,918},{21,31,113},{14,30,290},{29,27,1769},{14,30,290},{22,31,1530},{22,31,1530},{22,31,1530},{21,31,954},{21,31,1251},{19,31,238},{19,31,238},{19,28,41},{14,31,1105},{14,28,98},{25,31,164},{25,31,164},{25,31,164},{24,31,5},{31,18,648},{21,31,113},{21,31,113},{17,28,1},{26,26,648},
{17,28,1},{30,29,265},{28,31,145},{27,31,4},{24,31,1},{30,29,265},{29,30,265},{24,31,1},{0,30,289},{29,30,265},{0,30,289},{21,0,890},{21,0,890},{21,0,890},{21,0,890},{19,31,13},{19,31,13},{19,31,13},{19,27,5},{12,31,9},{12,31,9},{24,31,3069},{24,31,2257},{23,31,1683},{23,31,1054},{24,31,3258},{22,31,1330},{21,31,378},{19,30,213},{20,31,3102},{14,30,166},{27,31,801},
{26,31,477},{26,31,221},{25,31,20},{31,24,1374},{24,31,758},{23,31,181},{16,30,114},{24,31,1374},{16,30,114},{23,31,1683},{23,31,1683},{23,31,1683},{23,31,1054},{22,31,1401},{21,31,378},{21,31,378},{19,29,46},{16,31,1296},{15,29,98},{26,31,221},{26,31,221},{26,31,221},{25,31,20},{30,22,648},{23,31,181},{23,31,181},{18,29,1},{27,27,648},{18,29,1},{30,30,113},{29,31,61},{28,31,0},
{26,31,1},{30,30,113},{30,30,113},{26,31,1},{0,30,113},{30,30,113},{0,30,113},{22,0,890},{22,0,890},{22,0,890},{22,0,890},{20,31,45},{20,31,45},{20,31,45},{20,28,13},{13,31,25},{13,31,25},{25,31,2860},{25,31,2260},{24,31,1854},{24,31,1210},{25,31,2932},{23,31,1310},{22,31,609},{21,30,108},{21,31,2731},{15,31,101},{28,31,630},{27,31,475},{27,31,306},{26,31,101},{31,26,1032},
{26,31,612},{25,31,290},{18,31,37},{29,29,1032},{18,31,37},{24,31,1854},{24,31,1854},{24,31,1854},{24,31,1210},{23,31,1620},{22,31,609},{22,31,609},{21,30,44},{18,31,1515},{15,31,101},{27,31,306},{27,31,306},{27,31,306},{26,31,101},{30,25,648},{25,31,290},{25,31,290},{19,30,5},{30,27,648},{19,30,5},{31,30,18},{30,31,10},{30,31,1},{29,31,0},{31,30,18},{30,31,18},{29,31,0},
{0,31,36},{30,31,18},{0,31,36},{23,0,900},{23,0,900},{23,0,900},{23,0,900},{21,31,104},{21,31,104},{21,31,104},{21,29,5},{15,31,65},{15,31,65},{26,31,2626},{26,31,2206},{25,31,1915},{25,31,1315},{26,31,2641},{24,31,1333},{23,31,789},{22,31,40},{22,31,2445},{17,31,116},{29,31,524},{28,31,406},{28,31,325},{27,31,170},{30,29,771},{27,31,507},{26,31,320},{20,31,0},{29,30,771},
{20,31,0},{25,31,1915},{25,31,1915},{25,31,1915},{25,31,1315},{24,31,1661},{23,31,789},{23,31,789},{22,31,40},{20,31,1517},{17,31,116},{28,31,325},{28,31,325},{28,31,325},{27,31,170},{31,26,580},{26,31,320},{26,31,320},{20,31,0},{30,28,580},{20,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{23,31,164},{23,31,164},{23,31,164},{22,30,5},{17,31,116},{17,31,116},{27,31,2156},{27,31,1884},{26,31,1630},{26,31,1210},{26,31,2081},{25,31,1108},{24,31,705},{23,31,5},{23,31,1927},{19,31,180},{29,31,300},{29,31,236},{29,31,200},{28,31,85},{31,28,451},{28,31,283},{27,31,194},{23,31,1},{28,31,451},{23,31,1},{26,31,1630},{26,31,1630},{26,31,1630},
{26,31,1210},{25,31,1347},{24,31,705},{24,31,705},{23,31,5},{22,31,1229},{19,31,180},{29,31,200},{29,31,200},{29,31,200},{28,31,85},{31,27,338},{27,31,194},{27,31,194},{23,31,1},{30,29,338},{23,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{24,31,221},
{24,31,221},{24,31,221},{23,31,5},{19,31,180},{19,31,180},{28,31,1782},{27,31,1564},{27,31,1395},{27,31,1123},{27,31,1620},{26,31,937},{25,31,651},{24,31,25},{24,31,1560},{21,31,233},{30,31,150},{30,31,134},{29,31,104},{29,31,40},{31,29,216},{29,31,136},{28,31,90},{25,31,1},{29,31,216},{25,31,1},{27,31,1395},{27,31,1395},{27,31,1395},{27,31,1123},{26,31,1101},{25,31,651},{25,31,651},
{24,31,25},{23,31,998},{21,31,233},{29,31,104},{29,31,104},{29,31,104},{29,31,40},{31,28,162},{28,31,90},{28,31,90},{25,31,1},{28,31,162},{25,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{25,31,290},{25,31,290},{25,31,290},{24,31,25},{21,31,233},
{21,31,233},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{0,11,3379},{0,9,2369},{0,8,1061},{0,5,2435},{0,6,3760},{0,5,2660},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{7,0,3371},{0,9,2369},{0,8,1061},{0,5,2435},{10,1,3371},{0,5,2435},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{0,2,332},{0,2,200},{0,8,0},
{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{4,0,288},{0,2,164},{9,2,1568},{0,14,442},{0,10,40},{0,8,485},{9,2,1568},{17,0,1568},{0,8,485},{0,6,1586},{17,0,1568},{0,6,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,20,1570},{0,16,325},{0,11,5},
{0,9,392},{0,13,3968},{0,10,2630},{0,9,1121},{0,6,2710},{0,7,4484},{0,6,3034},{0,20,1570},{0,16,325},{0,11,5},{0,9,392},{2,10,3968},{0,10,2630},{0,9,1121},{0,6,2710},{13,0,3968},{0,6,2710},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{0,5,514},{0,5,274},{0,5,274},{0,3,289},{0,3,595},{0,3,370},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{2,2,512},
{0,5,274},{0,5,274},{0,3,289},{2,2,512},{0,3,289},{10,3,1568},{0,16,325},{0,11,5},{0,9,392},{10,3,1568},{18,1,1568},{0,9,392},{0,7,1586},{18,1,1568},{0,7,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{0,15,4652},{0,11,2945},{0,10,1217},
{0,7,3035},{0,8,5283},{0,7,3476},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{4,8,4651},{0,11,2945},{0,10,1217},{0,7,3035},{13,1,4651},{0,7,3035},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{0,7,802},{0,6,424},{0,6,424},{0,4,449},{0,3,931},{0,3,562},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{4,0,800},{0,6,424},{0,6,424},{0,4,449},{5,1,800},
{0,4,449},{11,4,1568},{0,17,225},{1,12,13},{0,11,292},{11,4,1568},{19,2,1568},{0,11,292},{0,8,1576},{19,2,1568},{0,8,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,1570},{0,19,149},{0,13,73},{0,12,194},{0,17,5424},{0,13,3368},{0,11,1349},{0,8,3449},{0,9,6213},{0,7,3956},{0,25,1570},
{0,19,149},{0,13,73},{0,12,194},{10,0,5419},{0,13,3368},{0,11,1349},{0,8,3449},{15,1,5419},{0,8,3449},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{0,8,1152},{0,7,610},{0,7,610},{0,4,625},{0,4,1328},{0,4,769},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{3,3,1152},{0,7,610},{0,7,610},{0,4,625},{8,0,1152},{0,4,625},{15,0,1568},{0,19,149},{2,13,13},
{0,12,194},{15,0,1568},{20,3,1568},{0,12,194},{0,9,1576},{20,3,1568},{0,9,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,26,1633},{0,21,155},{1,14,150},{0,13,198},{0,20,5424},{0,15,3099},{0,12,996},{0,9,3179},{0,10,6544},{0,8,3890},{1,26,1569},{1,20,131},{2,14,69},{1,13,181},{10,3,5419},
{0,15,3099},{0,12,996},{0,9,3179},{18,1,5419},{0,9,3179},{1,17,65},{1,17,65},{1,17,65},{1,11,69},{0,11,1152},{0,9,445},{0,9,445},{0,6,505},{0,6,1494},{0,5,737},{1,17,1},{1,17,1},{1,17,1},{1,11,5},{6,1,1152},{0,9,445},{0,9,445},{0,6,505},{11,0,1152},{0,6,505},{16,1,1568},{0,21,74},{3,14,5},{0,13,117},{16,1,1568},{26,1,1568},{0,13,117},
{0,10,1586},{26,1,1568},{0,10,1586},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,25},{0,1,25},{1,29,1715},{1,22,219},{2,15,342},{1,14,262},{0,22,5420},{0,16,2834},{0,13,726},{0,10,2966},{0,11,6916},{0,9,3860},{2,27,1569},{2,21,131},{3,15,69},{2,14,181},{11,4,5419},{0,16,2834},{0,13,726},{0,10,2966},{19,2,5419},
{0,10,2966},{1,20,146},{1,20,146},{1,20,146},{1,12,146},{0,13,1154},{0,11,337},{0,11,337},{0,7,388},{0,7,1665},{0,6,749},{2,18,1},{2,18,1},{2,18,1},{2,12,5},{8,0,1152},{0,11,337},{0,11,337},{0,7,388},{5,5,1152},{0,7,388},{17,2,1568},{0,23,34},{4,15,5},{0,14,72},{17,2,1568},{27,2,1568},{0,14,72},{0,11,1586},{27,2,1568},{0,11,1586},{1,0,145},
{1,0,145},{1,0,145},{1,0,145},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,2,85},{0,2,85},{2,30,1907},{1,24,398},{2,16,542},{1,15,425},{0,25,5424},{0,18,2630},{0,15,486},{0,11,2771},{0,13,7299},{0,11,3860},{3,28,1569},{3,22,131},{4,16,82},{3,15,181},{15,0,5419},{0,18,2630},{0,15,486},{0,11,2771},{20,3,5419},{0,11,2771},{2,21,338},{2,21,338},{2,21,338},
{2,13,338},{0,16,1152},{0,13,274},{0,13,274},{0,8,305},{0,8,1856},{0,7,797},{3,19,1},{3,19,1},{3,19,1},{3,13,5},{9,1,1152},{0,13,274},{0,13,274},{0,8,305},{16,0,1152},{0,8,305},{18,3,1568},{0,25,17},{5,16,13},{0,15,45},{18,3,1568},{28,3,1568},{0,15,45},{0,12,1576},{28,3,1568},{0,12,1576},{2,0,337},{2,0,337},{2,0,337},{2,0,337},{0,8,1},
{0,8,1},{0,8,1},{0,5,0},{0,4,169},{0,4,169},{2,31,2145},{2,25,590},{3,17,862},{2,16,619},{0,27,5420},{0,20,2424},{0,16,282},{0,12,2552},{0,15,7711},{0,11,3908},{4,29,1570},{4,23,149},{4,17,73},{4,16,194},{14,4,5419},{0,20,2424},{0,16,282},{0,12,2552},{24,2,5419},{0,12,2552},{2,23,546},{2,23,546},{2,23,546},{2,15,546},{0,19,1154},{0,15,194},{0,15,194},
{0,9,218},{0,9,2123},{0,8,865},{4,20,1},{4,20,1},{4,20,1},{4,13,4},{10,2,1152},{0,15,194},{0,15,194},{0,9,218},{17,1,1152},{0,9,218},{20,2,1568},{0,27,5},{6,17,13},{0,16,26},{20,2,1568},{24,7,1568},{0,16,26},{0,13,1576},{24,7,1568},{0,13,1576},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},
{0,5,289},{3,31,2596},{3,26,941},{3,19,1289},{3,17,972},{0,30,5420},{0,22,2243},{0,17,145},{0,13,2386},{0,16,8161},{0,13,3986},{5,30,1569},{5,24,131},{6,18,69},{5,17,181},{17,2,5419},{0,22,2243},{0,17,145},{0,13,2386},{27,2,5419},{0,13,2386},{3,24,901},{3,24,901},{3,24,901},{3,16,901},{0,22,1154},{0,17,109},{0,17,109},{0,10,145},{0,11,2441},{0,9,1001},{5,21,1},
{5,21,1},{5,21,1},{5,15,5},{13,0,1152},{0,17,109},{0,17,109},{0,10,145},{20,1,1152},{0,10,145},{23,0,1568},{1,28,2},{7,18,5},{0,18,8},{23,0,1568},{30,5,1568},{0,18,8},{0,14,1586},{30,5,1568},{0,14,1586},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{0,14,1},{0,14,1},{0,14,1},{0,8,1},{0,6,468},{0,6,468},{4,31,3146},{3,28,1262},{4,19,1743},
{3,18,1297},{1,31,5484},{0,23,2096},{0,19,69},{0,14,2251},{0,18,8669},{0,14,4100},{6,31,1569},{6,25,131},{7,19,69},{6,18,181},{18,3,5419},{0,23,2096},{0,19,69},{0,14,2251},{28,3,5419},{0,14,2251},{3,27,1252},{3,27,1252},{3,27,1252},{3,17,1256},{0,24,1152},{0,18,61},{0,18,61},{0,11,100},{0,12,2859},{0,10,1157},{6,22,1},{6,22,1},{6,22,1},{6,16,5},{14,1,1152},
{0,18,61},{0,18,61},{0,11,100},{24,0,1152},{0,11,100},{24,1,1568},{2,29,2},{8,19,5},{0,19,5},{24,1,1568},{31,6,1568},{0,19,5},{0,15,1586},{31,6,1568},{0,15,1586},{3,0,1252},{3,0,1252},{3,0,1252},{3,0,1252},{0,16,1},{0,16,1},{0,16,1},{0,10,1},{0,8,657},{0,8,657},{5,31,3716},{4,29,1603},{4,21,2148},{4,19,1631},{2,31,5655},{0,25,2005},{0,20,31},
{0,15,2138},{0,19,8963},{0,15,4070},{7,31,1587},{7,26,131},{8,20,82},{7,19,181},{20,2,5419},{0,25,2001},{0,20,27},{0,15,2134},{24,7,5419},{0,15,2134},{4,28,1587},{4,28,1587},{4,28,1587},{4,18,1590},{0,27,1158},{0,20,22},{0,20,22},{0,12,62},{0,14,3075},{0,11,1221},{7,23,1},{7,23,1},{7,23,1},{7,17,5},{16,0,1152},{0,20,18},{0,20,18},{0,12,58},{25,1,1152},
{0,12,58},{25,2,1568},{3,30,2},{9,20,13},{1,20,9},{25,2,1568},{27,10,1568},{1,20,9},{0,16,1576},{27,10,1568},{0,16,1576},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{0,19,4},{0,19,4},{0,19,4},{0,11,8},{0,9,769},{0,9,769},{6,31,3890},{5,30,1603},{5,22,2148},{5,20,1627},{3,31,5748},{0,27,1989},{1,21,31},{0,17,2117},{0,21,8560},{0,16,3545},{9,31,1634},
{8,27,149},{8,21,73},{8,20,194},{21,3,5419},{0,27,1889},{1,21,27},{0,17,2017},{28,6,5419},{0,17,2017},{5,29,1587},{5,29,1587},{5,29,1587},{5,19,1590},{1,28,1158},{1,21,22},{1,21,22},{1,13,62},{0,16,2801},{0,13,949},{8,24,1},{8,24,1},{8,24,1},{8,17,4},{17,1,1152},{0,22,2},{0,22,2},{0,14,26},{26,2,1152},{0,14,26},{26,3,1568},{4,31,5},{10,21,13},
{2,21,9},{26,3,1568},{28,11,1568},{2,21,9},{0,17,1576},{28,11,1568},{0,17,1576},{5,0,1586},{5,0,1586},{5,0,1586},{5,0,1586},{1,20,4},{1,20,4},{1,20,4},{1,12,8},{0,10,625},{0,10,625},{7,31,4136},{6,31,1589},{7,23,2157},{6,21,1621},{4,31,5895},{1,28,1977},{2,22,33},{1,18,2107},{0,23,8196},{0,17,3043},{10,31,1667},{9,28,131},{10,22,69},{9,21,181},{24,1,5419},
{0,29,1772},{2,22,24},{0,18,1875},{31,6,5419},{0,18,1875},{6,30,1576},{6,30,1576},{6,30,1576},{6,20,1580},{2,29,1161},{2,22,29},{2,22,29},{2,15,58},{0,17,2529},{0,14,656},{9,25,1},{9,25,1},{9,25,1},{9,19,5},{17,4,1152},{0,24,1},{0,24,1},{0,15,1},{29,2,1152},{0,15,1},{27,4,1568},{6,31,13},{11,22,5},{3,22,5},{27,4,1568},{31,11,1568},{3,22,5},
{0,18,1586},{31,11,1568},{0,18,1586},{6,0,1576},{6,0,1576},{6,0,1576},{6,0,1576},{2,21,10},{2,21,10},{2,21,10},{2,14,13},{0,12,520},{0,12,520},{8,31,4436},{7,31,1625},{8,23,2175},{7,22,1621},{6,31,6079},{3,28,1973},{3,23,33},{2,19,2107},{0,24,7969},{0,18,2675},{11,31,1745},{10,29,131},{11,23,69},{10,22,181},{25,2,5419},{0,30,1699},{3,23,24},{0,19,1782},{27,10,5419},
{0,19,1782},{7,31,1576},{7,31,1576},{7,31,1576},{7,21,1580},{3,30,1161},{3,23,29},{3,23,29},{3,16,74},{0,19,2313},{0,15,474},{10,26,1},{10,26,1},{10,26,1},{10,20,5},{18,5,1152},{1,25,1},{1,25,1},{0,16,2},{30,3,1152},{0,16,2},{31,0,1568},{8,31,34},{12,23,5},{4,23,5},{31,0,1568},{30,13,1568},{4,23,5},{0,19,1586},{30,13,1568},{0,19,1586},{7,0,1576},
{7,0,1576},{7,0,1576},{7,0,1576},{3,22,10},{3,22,10},{3,22,10},{3,15,13},{0,14,400},{0,14,400},{9,31,4730},{8,31,1716},{8,25,2148},{8,23,1631},{7,31,6244},{3,30,1977},{4,24,31},{4,19,2138},{0,26,7669},{0,19,2375},{12,31,1832},{11,30,131},{12,24,82},{11,23,181},{26,3,5419},{1,31,1699},{4,24,27},{0,20,1720},{28,11,5419},{0,20,1720},{8,31,1595},{8,31,1595},{8,31,1595},
{8,22,1590},{4,31,1158},{4,24,22},{4,24,22},{4,16,62},{0,21,2091},{0,17,306},{11,27,1},{11,27,1},{11,27,1},{11,21,5},{20,4,1152},{2,26,1},{2,26,1},{1,17,2},{29,5,1152},{1,17,2},{29,6,1568},{9,31,68},{13,24,13},{5,24,9},{29,6,1568},{31,14,1568},{5,24,9},{0,20,1576},{31,14,1568},{0,20,1576},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{4,23,4},
{4,23,4},{4,23,4},{4,15,8},{0,16,277},{0,16,277},{11,31,5010},{9,31,1878},{9,26,2148},{9,24,1627},{8,31,6508},{4,31,1989},{5,25,31},{4,21,2117},{0,28,7364},{0,21,2098},{14,31,1952},{12,31,149},{12,25,73},{12,24,194},{28,2,5419},{3,31,1787},{5,25,27},{0,21,1657},{27,13,5419},{0,21,1657},{9,31,1622},{9,31,1622},{9,31,1622},{9,23,1590},{5,31,1164},{5,25,22},{5,25,22},
{5,17,62},{0,22,1928},{0,18,194},{12,28,1},{12,28,1},{12,28,1},{12,21,4},{24,0,1152},{3,27,1},{3,27,1},{2,18,2},{30,6,1152},{2,18,2},{30,7,1568},{11,31,116},{14,25,13},{6,25,9},{30,7,1568},{30,16,1568},{6,25,9},{0,21,1576},{30,16,1568},{0,21,1576},{9,0,1586},{9,0,1586},{9,0,1586},{9,0,1586},{5,24,4},{5,24,4},{5,24,4},{5,16,8},{0,18,193},
{0,18,193},{12,31,5316},{11,31,2154},{11,27,2157},{10,25,1621},{10,31,6800},{6,31,1999},{6,26,33},{5,22,2107},{0,29,7068},{0,22,1836},{15,31,2081},{13,31,206},{14,26,69},{13,25,181},{31,0,5419},{5,31,1937},{6,26,24},{0,22,1611},{30,13,5419},{0,22,1611},{10,31,1676},{10,31,1676},{10,31,1676},{10,24,1580},{7,31,1179},{6,26,29},{6,26,29},{6,19,58},{0,24,1798},{0,19,157},{13,29,1},
{13,29,1},{13,29,1},{13,23,5},{24,3,1152},{4,28,1},{4,28,1},{4,19,1},{28,9,1152},{4,19,1},{31,8,1568},{13,31,205},{15,26,5},{7,26,5},{31,8,1568},{28,19,1568},{7,26,5},{0,22,1586},{28,19,1568},{0,22,1586},{10,0,1576},{10,0,1576},{10,0,1576},{10,0,1576},{6,25,10},{6,25,10},{6,25,10},{6,18,13},{0,20,106},{0,20,106},{13,31,5658},{12,31,2435},{12,27,2175},
{11,26,1621},{11,31,7055},{7,31,2090},{7,27,33},{6,23,2107},{0,31,6820},{0,23,1690},{16,31,2216},{14,31,334},{15,27,69},{14,26,181},{29,6,5419},{7,31,2081},{7,27,24},{0,23,1590},{31,14,5419},{0,23,1590},{11,31,1745},{11,31,1745},{11,31,1745},{11,25,1580},{8,31,1220},{7,27,29},{7,27,29},{7,20,74},{0,26,1650},{1,20,137},{14,30,1},{14,30,1},{14,30,1},{14,24,5},{22,9,1152},
{5,29,1},{5,29,1},{4,20,2},{29,10,1152},{4,20,2},{29,14,1568},{15,31,289},{16,27,5},{8,27,5},{29,14,1568},{29,20,1568},{8,27,5},{0,23,1586},{29,20,1568},{0,23,1586},{11,0,1576},{11,0,1576},{11,0,1576},{11,0,1576},{7,26,10},{7,26,10},{7,26,10},{7,19,13},{0,22,58},{0,22,58},{14,31,6036},{13,31,2751},{12,29,2148},{12,27,1631},{12,31,7316},{8,31,2228},{8,28,31},
{8,23,2138},{0,31,6884},{0,24,1613},{17,31,2402},{16,31,500},{16,28,82},{15,27,181},{30,7,5419},{9,31,2195},{8,28,27},{0,24,1577},{30,16,5419},{0,24,1577},{12,31,1811},{12,31,1811},{12,31,1811},{12,26,1590},{9,31,1286},{8,28,22},{8,28,22},{8,20,62},{0,28,1508},{2,21,137},{15,31,1},{15,31,1},{15,31,1},{15,25,5},{24,8,1152},{6,30,1},{6,30,1},{5,21,2},{30,11,1152},
{5,21,2},{30,15,1568},{17,31,410},{17,28,13},{9,28,9},{30,15,1568},{30,21,1568},{9,28,9},{0,24,1576},{30,21,1568},{0,24,1576},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{8,27,4},{8,27,4},{8,27,4},{8,19,8},{0,24,37},{0,24,37},{15,31,6450},{14,31,3135},{13,30,2148},{13,28,1627},{13,31,7661},{10,31,2448},{9,29,31},{8,25,2117},{2,31,7196},{0,25,1593},{19,31,2594},
{17,31,698},{16,29,73},{16,28,194},{29,11,5419},{11,31,2379},{9,29,27},{1,25,1577},{31,17,5419},{1,25,1577},{13,31,1910},{13,31,1910},{13,31,1910},{13,27,1590},{10,31,1388},{9,29,22},{9,29,22},{9,21,62},{0,30,1416},{3,22,137},{16,31,4},{16,31,4},{16,31,4},{16,25,4},{28,4,1152},{7,31,1},{7,31,1},{6,22,2},{29,13,1152},{6,22,2},{31,16,1568},{19,31,530},{18,29,13},
{10,29,9},{31,16,1568},{31,22,1568},{10,29,9},{0,25,1576},{31,22,1568},{0,25,1576},{13,0,1586},{13,0,1586},{13,0,1586},{13,0,1586},{9,28,4},{9,28,4},{9,28,4},{9,20,8},{0,25,17},{0,25,17},{16,31,6900},{15,31,3657},{15,31,2157},{14,29,1621},{15,31,8023},{11,31,2845},{10,30,33},{9,26,2107},{5,31,7651},{1,26,1611},{20,31,2866},{18,31,1011},{18,30,69},{17,29,181},{29,14,5419},
{13,31,2657},{10,30,24},{3,26,1587},{29,20,5419},{3,26,1587},{15,31,2057},{15,31,2057},{15,31,2057},{14,28,1580},{12,31,1476},{10,30,29},{10,30,29},{10,23,58},{0,31,1324},{4,23,157},{17,31,37},{17,31,37},{17,31,37},{17,27,5},{31,2,1152},{9,31,4},{9,31,4},{8,23,1},{27,16,1152},{8,23,1},{31,19,1568},{21,31,637},{19,30,5},{11,30,5},{31,19,1568},{27,26,1568},{11,30,5},
{0,26,1586},{27,26,1568},{0,26,1586},{14,0,1576},{14,0,1576},{14,0,1576},{14,0,1576},{10,29,10},{10,29,10},{10,29,10},{10,22,13},{1,27,9},{1,27,9},{18,31,7332},{16,31,4196},{16,31,2175},{15,30,1621},{16,31,8348},{13,31,3285},{11,31,33},{10,27,2107},{8,31,8004},{2,27,1611},{21,31,3112},{20,31,1281},{19,31,69},{18,30,181},{30,15,5419},{15,31,2897},{11,31,24},{3,27,1590},{30,21,5419},
{3,27,1590},{16,31,2171},{16,31,2171},{16,31,2171},{15,29,1580},{13,31,1590},{11,31,29},{11,31,29},{11,24,74},{2,31,1424},{5,24,137},{19,31,65},{19,31,65},{19,31,65},{18,28,5},{26,13,1152},{11,31,20},{11,31,20},{8,24,2},{21,21,1152},{8,24,2},{30,23,1568},{23,31,785},{20,31,5},{12,31,5},{30,23,1568},{28,27,1568},{12,31,5},{0,27,1586},{28,27,1568},{0,27,1586},{15,0,1576},
{15,0,1576},{15,0,1576},{15,0,1576},{11,30,10},{11,30,10},{11,30,10},{11,23,13},{1,28,8},{1,28,8},{19,31,7014},{17,31,4230},{17,31,2294},{16,31,1595},{17,31,7865},{14,31,3114},{12,31,85},{12,27,1706},{8,31,7436},{3,28,1268},{22,31,2794},{21,31,1221},{20,31,113},{19,30,114},{30,17,4803},{17,31,2648},{13,31,61},{4,28,1253},{25,25,4803},{4,28,1253},{17,31,2294},{17,31,2294},{17,31,2294},
{16,30,1590},{14,31,1740},{12,31,85},{12,31,85},{12,24,62},{3,31,1571},{6,25,137},{20,31,113},{20,31,113},{20,31,113},{19,29,5},{28,12,1152},{13,31,61},{13,31,61},{9,25,2},{22,22,1152},{9,25,2},{31,23,1250},{24,31,680},{21,31,4},{15,31,0},{31,23,1250},{23,31,1250},{15,31,0},{0,28,1252},{23,31,1250},{0,28,1252},{16,0,1586},{16,0,1586},{16,0,1586},{16,0,1586},{12,31,4},
{12,31,4},{12,31,4},{12,23,8},{2,29,8},{2,29,8},{19,31,6534},{18,31,4116},{18,31,2435},{17,31,1590},{18,31,7164},{15,31,2809},{14,31,161},{12,28,1256},{10,31,6748},{5,28,945},{23,31,2340},{22,31,1065},{21,31,164},{20,31,64},{31,17,4056},{18,31,2211},{15,31,113},{7,28,900},{25,26,4056},{7,28,900},{18,31,2435},{18,31,2435},{18,31,2435},{17,31,1590},{16,31,1923},{14,31,161},{14,31,161},
{13,25,62},{6,31,1729},{7,26,137},{21,31,164},{21,31,164},{21,31,164},{20,29,4},{29,13,1152},{15,31,113},{15,31,113},{10,26,2},{28,20,1152},{10,26,2},{30,26,882},{25,31,482},{23,31,0},{18,31,1},{30,26,882},{31,27,882},{18,31,1},{0,28,900},{31,27,882},{0,28,900},{17,0,1586},{17,0,1586},{17,0,1586},{17,0,1586},{13,31,13},{13,31,13},{13,31,13},{13,24,8},{3,30,8},
{3,30,8},{21,31,6091},{20,31,4022},{19,31,2609},{18,31,1640},{19,31,6490},{16,31,2617},{15,31,318},{14,28,835},{11,31,6135},{6,29,598},{24,31,1881},{23,31,931},{22,31,245},{21,31,5},{31,19,3318},{20,31,1733},{17,31,202},{8,29,545},{27,26,3318},{8,29,545},{19,31,2609},{19,31,2609},{19,31,2609},{18,31,1640},{17,31,2086},{15,31,318},{15,31,318},{14,27,58},{8,31,1868},{8,27,157},{22,31,245},
{22,31,245},{22,31,245},{21,31,5},{29,16,1152},{17,31,202},{17,31,202},{12,27,1},{31,20,1152},{12,27,1},{31,26,545},{26,31,305},{25,31,4},{20,31,1},{31,26,545},{29,29,545},{20,31,1},{0,29,545},{29,29,545},{0,29,545},{18,0,1576},{18,0,1576},{18,0,1576},{18,0,1576},{15,31,29},{15,31,29},{15,31,29},{14,26,13},{5,31,9},{5,31,9},{22,31,5719},{21,31,3980},{20,31,2834},
{19,31,1745},{20,31,6050},{18,31,2457},{16,31,536},{15,29,515},{14,31,5674},{7,30,406},{25,31,1573},{24,31,861},{23,31,338},{22,31,10},{30,22,2753},{21,31,1438},{19,31,290},{11,29,338},{27,27,2753},{11,29,338},{20,31,2834},{20,31,2834},{20,31,2834},{19,31,1745},{18,31,2284},{16,31,536},{16,31,536},{15,28,74},{10,31,2064},{9,28,137},{23,31,338},{23,31,338},{23,31,338},{22,31,10},{30,17,1152},
{19,31,290},{19,31,290},{12,28,2},{25,25,1152},{12,28,2},{31,27,313},{28,31,181},{26,31,1},{23,31,0},{31,27,313},{30,29,313},{23,31,0},{0,29,337},{30,29,313},{0,29,337},{19,0,1576},{19,0,1576},{19,0,1576},{19,0,1576},{16,31,52},{16,31,52},{16,31,52},{15,27,13},{6,31,25},{6,31,25},{22,31,5399},{22,31,3974},{21,31,3035},{20,31,1875},{21,31,5619},{19,31,2378},{18,31,776},
{16,30,318},{15,31,5258},{9,30,225},{26,31,1333},{25,31,813},{24,31,425},{23,31,65},{30,24,2273},{23,31,1218},{20,31,353},{12,30,146},{29,27,2273},{12,30,146},{21,31,3035},{21,31,3035},{21,31,3035},{20,31,1875},{19,31,2518},{18,31,776},{18,31,776},{16,28,62},{11,31,2323},{10,29,137},{24,31,425},{24,31,425},{24,31,425},{23,31,65},{31,18,1152},{20,31,353},{20,31,353},{13,29,2},{26,26,1152},
{13,29,2},{31,28,145},{28,31,85},{28,31,4},{26,31,1},{31,28,145},{30,30,145},{26,31,1},{0,30,145},{30,30,145},{0,30,145},{20,0,1586},{20,0,1586},{20,0,1586},{20,0,1586},{17,31,85},{17,31,85},{17,31,85},{16,27,8},{8,31,40},{8,31,40},{23,31,5143},{23,31,4004},{22,31,3254},{21,31,2070},{22,31,5274},{20,31,2310},{19,31,1062},{17,30,133},{17,31,5011},{10,31,161},{27,31,1161},
{26,31,801},{26,31,545},{25,31,164},{31,24,1878},{24,31,1094},{22,31,461},{14,30,66},{24,31,1878},{14,30,66},{22,31,3254},{22,31,3254},{22,31,3254},{21,31,2070},{20,31,2833},{19,31,1062},{19,31,1062},{17,29,62},{14,31,2577},{11,30,137},{26,31,545},{26,31,545},{26,31,545},{25,31,164},{30,22,1152},{22,31,461},{22,31,461},{14,30,2},{27,27,1152},{14,30,2},{30,31,41},{30,31,25},{29,31,1},
{28,31,0},{30,31,41},{31,30,41},{28,31,0},{0,30,65},{31,30,41},{0,30,65},{21,0,1586},{21,0,1586},{21,0,1586},{21,0,1586},{18,31,136},{18,31,136},{18,31,136},{17,28,8},{10,31,80},{10,31,80},{24,31,4882},{24,31,4070},{23,31,3532},{22,31,2360},{24,31,4945},{21,31,2422},{20,31,1433},{18,31,58},{20,31,4717},{12,31,157},{28,31,1026},{27,31,835},{27,31,666},{26,31,305},{31,26,1536},
{26,31,996},{24,31,628},{16,31,1},{29,29,1536},{16,31,1},{23,31,3532},{23,31,3532},{23,31,3532},{22,31,2360},{22,31,3110},{20,31,1433},{20,31,1433},{18,31,58},{16,31,2939},{12,31,157},{27,31,666},{27,31,666},{27,31,666},{26,31,305},{30,25,1152},{24,31,628},{24,31,628},{16,31,1},{30,27,1152},{16,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{22,0,1576},{22,0,1576},{22,0,1576},{22,0,1576},{19,31,221},{19,31,221},{19,31,221},{18,30,13},{12,31,157},{12,31,157},{25,31,4212},{24,31,3590},{24,31,3106},{23,31,2201},{24,31,4129},{22,31,2101},{21,31,1301},{19,31,13},{20,31,3869},{14,31,233},{28,31,706},{28,31,562},{28,31,481},{27,31,218},{31,27,1067},{27,31,699},{25,31,442},{18,31,1},{30,29,1067},
{18,31,1},{24,31,3106},{24,31,3106},{24,31,3106},{23,31,2201},{23,31,2668},{21,31,1301},{21,31,1301},{19,31,13},{18,31,2523},{14,31,233},{28,31,481},{28,31,481},{28,31,481},{27,31,218},{31,25,802},{25,31,442},{25,31,442},{18,31,1},{31,27,802},{18,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,1576},
{23,0,1576},{23,0,1576},{23,0,1576},{20,31,325},{20,31,325},{20,31,325},{19,31,13},{14,31,233},{14,31,233},{26,31,3642},{25,31,3132},{25,31,2771},{24,31,2070},{25,31,3444},{23,31,1834},{22,31,1205},{20,31,8},{21,31,3219},{16,31,346},{29,31,456},{28,31,370},{28,31,289},{28,31,145},{30,29,683},{28,31,451},{27,31,290},{21,31,1},{29,30,683},{21,31,1},{25,31,2771},{25,31,2771},{25,31,2771},
{24,31,2070},{24,31,2273},{22,31,1205},{22,31,1205},{20,31,8},{20,31,2121},{16,31,346},{28,31,289},{28,31,289},{28,31,289},{28,31,145},{31,26,512},{27,31,290},{27,31,290},{21,31,1},{29,29,512},{21,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,1586},{24,0,1586},{24,0,1586},{24,0,1586},{22,31,421},
{22,31,421},{22,31,421},{20,31,8},{16,31,346},{16,31,346},{26,31,3162},{26,31,2742},{26,31,2486},{25,31,1947},{26,31,2877},{24,31,1641},{23,31,1145},{22,31,52},{22,31,2673},{18,31,458},{29,31,264},{29,31,200},{29,31,164},{28,31,81},{30,30,384},{28,31,243},{28,31,162},{23,31,1},{30,30,384},{23,31,1},{26,31,2486},{26,31,2486},{26,31,2486},{25,31,1947},{24,31,1969},{23,31,1145},{23,31,1145},
{22,31,52},{20,31,1785},{18,31,458},{29,31,164},{29,31,164},{29,31,164},{28,31,81},{31,27,290},{28,31,162},{28,31,162},{23,31,1},{30,29,290},{23,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,1586},{25,0,1586},{25,0,1586},{25,0,1586},{23,31,520},{23,31,520},{23,31,520},{22,31,52},{18,31,458},
{18,31,458},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{0,15,5885},{0,11,4118},{0,10,1800},{0,7,4202},{0,8,6546},{0,7,4643},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{9,0,5885},{0,11,4118},{0,10,1800},{0,7,4202},{15,0,5885},{0,7,4202},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,549},{0,5,289},{0,5,289},{0,3,306},{0,3,630},{0,3,387},{0,11,0},
{0,11,0},{0,11,0},{0,7,4},{2,2,545},{0,5,289},{0,5,289},{0,3,306},{4,1,545},{0,3,306},{13,1,2665},{0,18,680},{0,13,50},{0,11,785},{13,1,2665},{23,0,2665},{0,11,785},{0,8,2689},{23,0,2665},{0,8,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,2665},{0,20,521},{0,14,5},
{0,12,625},{0,17,6669},{0,13,4529},{0,11,1890},{0,8,4610},{0,9,7494},{0,7,5171},{0,25,2665},{0,20,521},{0,14,5},{0,12,625},{9,2,6669},{0,13,4529},{0,11,1890},{0,8,4610},{17,0,6669},{0,8,4610},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,7,841},{0,6,445},{0,6,445},{0,4,464},{0,3,982},{0,3,595},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{4,0,841},
{0,6,445},{0,6,445},{0,4,464},{7,0,841},{0,4,464},{14,2,2665},{0,20,521},{0,14,5},{0,12,625},{14,2,2665},{25,0,2665},{0,12,625},{0,9,2689},{25,0,2665},{0,9,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{0,19,7541},{0,14,4934},{0,12,2042},
{0,9,5045},{0,10,8546},{0,8,5682},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{10,2,7538},{0,14,4934},{0,12,2042},{0,9,5045},{17,1,7538},{0,9,5045},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,8,1201},{0,7,637},{0,7,637},{0,4,656},{0,4,1385},{0,4,800},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{5,0,1201},{0,7,637},{0,7,637},{0,4,656},{8,0,1201},
{0,4,656},{16,1,2665},{0,22,405},{1,15,5},{0,13,514},{16,1,2665},{28,0,2665},{0,13,514},{0,10,2689},{28,0,2665},{0,10,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,30,2669},{0,23,313},{0,16,68},{0,15,410},{0,20,8498},{0,16,5330},{0,13,2210},{0,10,5530},{0,11,9702},{0,9,6270},{0,30,2669},
{0,23,313},{0,16,68},{0,15,410},{11,2,8493},{0,16,5330},{0,13,2210},{0,10,5530},{17,2,8493},{0,10,5530},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,9,1629},{0,8,832},{0,8,832},{0,5,881},{0,5,1874},{0,5,1106},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{5,1,1625},{0,8,832},{0,8,832},{0,5,881},{8,1,1625},{0,5,881},{17,2,2665},{0,23,313},{2,16,8},
{0,15,410},{17,2,2665},{29,1,2665},{0,15,410},{0,11,2689},{29,1,2665},{0,11,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,2777},{0,26,232},{0,17,197},{0,16,305},{0,22,9674},{0,17,5849},{0,14,2450},{0,10,6106},{0,12,11199},{0,10,7006},{1,31,2741},{0,26,232},{1,17,146},{0,16,305},{11,4,9669},
{0,17,5849},{0,14,2450},{0,10,6106},{19,2,9669},{0,10,6106},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,11,2178},{0,10,1125},{0,10,1125},{0,6,1189},{0,6,2520},{0,5,1475},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{6,1,2178},{0,10,1125},{0,10,1125},{0,6,1189},{11,0,2178},{0,6,1189},{20,0,2665},{0,26,232},{3,17,2},{0,16,305},{20,0,2665},{30,2,2665},{0,16,305},
{0,12,2689},{30,2,2665},{0,12,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,31,2949},{0,28,217},{1,18,261},{0,17,282},{0,25,9670},{0,19,5529},{0,16,1970},{0,12,5738},{0,13,11589},{0,11,6898},{2,31,2789},{0,28,217},{2,18,146},{0,17,282},{15,0,9669},{0,19,5529},{0,16,1970},{0,12,5738},{20,3,9669},
{0,12,5738},{0,24,64},{0,24,64},{0,24,64},{1,14,64},{0,13,2180},{0,11,949},{0,11,949},{0,7,1018},{0,7,2691},{0,6,1433},{1,23,1},{1,23,1},{1,23,1},{1,14,0},{8,0,2178},{0,11,949},{0,11,949},{0,7,1018},{5,5,2178},{0,7,1018},{21,1,2665},{0,28,153},{4,18,5},{0,17,218},{21,1,2665},{31,3,2665},{0,17,218},{0,13,2689},{31,3,2665},{0,13,2689},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,3,1},{0,3,1},{0,3,1},{0,2,4},{0,1,18},{0,1,18},{2,31,3285},{1,28,273},{2,19,453},{1,18,346},{0,27,9674},{0,20,5170},{0,17,1546},{0,13,5429},{0,15,11993},{0,12,6819},{3,31,2873},{1,28,209},{3,19,146},{1,18,282},{14,4,9669},{0,20,5170},{0,17,1546},{0,13,5429},{24,2,9669},{0,13,5429},{1,25,128},{1,25,128},{1,25,128},
{1,15,137},{0,16,2178},{0,13,832},{0,13,832},{0,8,881},{0,8,2882},{0,7,1427},{2,23,4},{2,23,4},{2,23,4},{2,15,0},{9,1,2178},{0,13,832},{0,13,832},{0,8,881},{16,0,2178},{0,8,881},{23,0,2665},{0,29,85},{5,19,5},{0,18,149},{23,0,2665},{30,5,2665},{0,18,149},{0,14,2689},{30,5,2665},{0,14,2689},{1,0,128},{1,0,128},{1,0,128},{1,0,128},{0,5,1},
{0,5,1},{0,5,1},{0,3,1},{0,2,72},{0,2,72},{3,31,3785},{1,30,405},{2,21,676},{1,19,469},{0,30,9669},{0,22,4878},{0,18,1190},{0,14,5138},{0,16,12390},{0,13,6789},{4,31,2966},{2,29,209},{4,20,149},{2,19,282},{18,0,9669},{0,22,4878},{0,18,1190},{0,14,5138},{30,0,9669},{0,14,5138},{2,26,320},{2,26,320},{2,26,320},{1,17,320},{0,19,2180},{0,15,680},{0,15,680},
{0,9,740},{0,9,3149},{0,8,1441},{3,24,1},{3,24,1},{3,24,1},{3,16,1},{10,2,2178},{0,15,680},{0,15,680},{0,9,740},{17,1,2178},{0,9,740},{24,1,2665},{0,31,41},{6,20,8},{0,19,98},{24,1,2665},{31,6,2665},{0,19,98},{0,15,2689},{31,6,2665},{0,15,2689},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,160},
{0,4,160},{4,31,4514},{2,31,630},{3,22,1027},{2,20,694},{1,31,9738},{0,23,4646},{0,20,849},{0,15,4826},{0,18,12955},{0,14,6798},{6,31,3101},{3,31,218},{5,21,146},{3,20,299},{18,3,9669},{0,23,4646},{0,20,849},{0,15,4826},{28,3,9669},{0,15,4826},{2,29,545},{2,29,545},{2,29,545},{2,18,546},{0,22,2180},{0,17,505},{0,17,505},{0,11,610},{0,11,3467},{0,10,1513},{4,26,1},
{4,26,1},{4,26,1},{4,17,0},{13,0,2178},{0,17,505},{0,17,505},{0,11,610},{20,1,2178},{0,11,610},{26,1,2665},{2,31,85},{7,21,2},{0,20,65},{26,1,2665},{31,8,2665},{0,20,65},{0,16,2689},{31,8,2665},{0,16,2689},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},{0,5,289},{4,31,5330},{3,31,1018},{3,23,1430},
{2,21,979},{2,31,9981},{0,26,4406},{0,21,579},{0,16,4610},{0,19,13489},{0,15,6846},{7,31,3233},{4,31,226},{6,22,146},{4,21,282},{20,2,9669},{0,26,4406},{0,21,579},{0,16,4610},{24,7,9669},{0,16,4610},{3,30,865},{3,30,865},{3,30,865},{3,19,866},{0,24,2178},{0,19,389},{0,19,389},{0,12,464},{0,12,3885},{0,11,1603},{5,27,1},{5,27,1},{5,27,1},{5,18,0},{14,1,2178},
{0,19,389},{0,19,389},{0,12,464},{24,0,2178},{0,12,464},{28,0,2665},{3,31,153},{8,22,5},{0,22,37},{28,0,2665},{30,10,2665},{0,22,37},{0,17,2689},{30,10,2665},{0,17,2689},{3,0,865},{3,0,865},{3,0,865},{3,0,865},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,6,445},{0,6,445},{5,31,6270},{3,31,1626},{4,24,1886},{3,22,1299},{2,31,10381},{0,28,4146},{0,22,377},
{0,17,4373},{0,20,14006},{0,16,6915},{8,31,3434},{6,31,242},{7,23,146},{5,22,282},{21,3,9669},{0,28,4146},{0,22,377},{0,17,4373},{28,6,9669},{0,17,4373},{3,31,1226},{3,31,1226},{3,31,1226},{3,21,1205},{0,27,2180},{0,21,274},{0,21,274},{0,13,353},{0,14,4269},{0,11,1763},{6,27,4},{6,27,4},{6,27,4},{6,19,0},{16,0,2178},{0,21,274},{0,21,274},{0,13,353},{25,1,2178},
{0,13,353},{29,1,2665},{5,31,232},{9,23,5},{0,23,10},{29,1,2665},{31,11,2665},{0,23,10},{0,18,2689},{31,11,2665},{0,18,2689},{3,0,1201},{3,0,1201},{3,0,1201},{3,0,1201},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,7,637},{0,7,637},{6,31,7374},{4,31,2339},{4,25,2441},{3,23,1730},{3,31,10950},{0,29,3909},{0,23,243},{0,18,4154},{0,22,14614},{0,17,7029},{9,31,3638},
{7,31,320},{8,24,149},{6,23,282},{22,4,9669},{0,29,3909},{0,23,243},{0,18,4154},{29,7,9669},{0,18,4154},{4,31,1714},{4,31,1714},{4,31,1714},{3,22,1666},{0,29,2180},{0,23,194},{0,23,194},{0,14,260},{0,15,4686},{0,13,1937},{7,28,1},{7,28,1},{7,28,1},{7,20,1},{17,1,2178},{0,23,194},{0,23,194},{0,14,260},{26,2,2178},{0,14,260},{31,0,2665},{8,31,313},{10,24,8},
{0,24,4},{31,0,2665},{30,13,2665},{0,24,4},{0,19,2689},{30,13,2665},{0,19,2689},{3,0,1665},{3,0,1665},{3,0,1665},{3,0,1665},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,8,832},{0,8,832},{7,31,8807},{5,31,3388},{5,26,3116},{4,24,2243},{4,31,11766},{0,31,3686},{0,25,138},{0,19,3938},{0,23,15369},{0,18,7206},{11,31,3853},{8,31,457},{9,25,146},{7,24,299},{25,2,9669},
{0,31,3686},{0,25,138},{0,19,3938},{27,10,9669},{0,19,3938},{5,31,2427},{5,31,2427},{5,31,2427},{4,23,2182},{0,31,2210},{0,25,137},{0,25,137},{0,15,181},{0,16,5157},{0,14,2163},{8,30,1},{8,30,1},{8,30,1},{8,21,0},{17,4,2178},{0,25,137},{0,25,137},{0,15,181},{29,2,2178},{0,15,181},{31,3,2665},{9,31,405},{11,25,2},{1,25,2},{31,3,2665},{30,15,2665},{1,25,2},
{0,20,2689},{30,15,2665},{0,20,2689},{4,0,2178},{4,0,2178},{4,0,2178},{4,0,2178},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,10,1125},{0,10,1125},{7,31,10230},{6,31,4421},{6,27,3739},{4,26,2742},{5,31,12634},{0,31,3719},{0,26,87},{0,20,3771},{0,25,16061},{0,19,7283},{12,31,4050},{10,31,629},{10,26,146},{8,25,282},{26,3,9669},{0,31,3718},{0,26,86},{0,20,3770},{28,11,9669},
{0,20,3770},{5,31,3050},{5,31,3050},{5,31,3050},{5,24,2690},{1,31,2325},{0,26,86},{0,26,86},{0,16,129},{0,18,5544},{0,15,2318},{9,31,1},{9,31,1},{9,31,1},{9,22,0},{18,5,2178},{0,26,85},{0,26,85},{0,16,128},{30,3,2178},{0,16,128},{31,6,2665},{11,31,521},{12,26,5},{2,26,2},{31,6,2665},{29,17,2665},{2,26,2},{0,21,2689},{29,17,2665},{0,21,2689},{5,0,2689},
{5,0,2689},{5,0,2689},{5,0,2689},{0,24,1},{0,24,1},{0,24,1},{0,15,5},{0,11,1348},{0,11,1348},{9,31,10738},{7,31,4899},{7,28,3705},{5,27,2742},{6,31,13045},{1,31,4002},{1,27,87},{0,21,3686},{0,27,15601},{0,20,6570},{13,31,4302},{11,31,857},{11,27,146},{9,26,282},{28,2,9669},{2,31,3954},{1,27,86},{0,21,3605},{27,13,9669},{0,21,3605},{6,31,3173},{6,31,3173},{6,31,3173},
{6,25,2690},{2,31,2427},{1,28,83},{1,28,83},{1,17,129},{0,20,5170},{0,16,1856},{10,31,4},{10,31,4},{10,31,4},{10,23,0},{20,4,2178},{0,28,32},{0,28,32},{0,17,89},{29,5,2178},{0,17,89},{31,8,2665},{13,31,680},{13,27,5},{3,27,2},{31,8,2665},{30,18,2665},{3,27,2},{0,22,2689},{30,18,2665},{0,22,2689},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{1,25,1},
{1,25,1},{1,25,1},{1,15,10},{0,13,1217},{0,13,1217},{10,31,11278},{8,31,5402},{7,29,3750},{6,28,2745},{7,31,13510},{3,31,4314},{2,28,77},{1,22,3686},{0,28,15046},{0,21,5958},{14,31,4590},{12,31,1171},{12,28,149},{10,27,282},{29,3,9669},{3,31,4265},{2,28,76},{0,22,3458},{28,14,9669},{0,22,3458},{7,31,3314},{7,31,3314},{7,31,3314},{7,26,2690},{4,31,2532},{2,28,73},{2,28,73},
{2,18,129},{0,21,4837},{0,17,1490},{11,31,25},{11,31,25},{11,31,25},{11,24,1},{24,0,2178},{0,30,8},{0,30,8},{0,19,49},{30,6,2178},{0,19,49},{31,11,2665},{15,31,832},{14,28,8},{4,28,4},{31,11,2665},{31,19,2665},{4,28,4},{0,23,2689},{31,19,2665},{0,23,2689},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{2,26,1},{2,26,1},{2,26,1},{2,16,5},{0,14,1037},
{0,14,1037},{11,31,11942},{10,31,6090},{9,30,3739},{7,29,2751},{9,31,14053},{4,31,4863},{3,29,79},{2,24,3689},{0,30,14558},{0,23,5274},{16,31,4858},{14,31,1556},{13,29,146},{11,28,299},{29,6,9669},{6,31,4594},{3,29,75},{0,24,3265},{31,14,9669},{0,24,3265},{9,31,3505},{9,31,3505},{9,31,3505},{8,27,2693},{5,31,2645},{3,30,72},{3,30,72},{3,19,134},{0,23,4506},{0,19,1109},{12,31,64},
{12,31,64},{12,31,64},{12,25,0},{24,3,2178},{1,31,10},{1,31,10},{0,20,16},{28,9,2178},{0,20,16},{31,14,2665},{17,31,1053},{15,29,2},{5,29,2},{31,14,2665},{29,22,2665},{5,29,2},{0,24,2689},{29,22,2665},{0,24,2689},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{3,27,5},{3,27,5},{3,27,5},{3,18,8},{0,16,818},{0,16,818},{12,31,12466},{11,31,6718},{10,31,3739},
{8,30,2742},{10,31,14554},{6,31,5363},{4,30,87},{3,24,3654},{0,31,14190},{0,24,4785},{17,31,5158},{15,31,1938},{14,30,146},{12,29,282},{30,7,9669},{8,31,4806},{4,30,86},{0,25,3130},{30,16,9669},{0,25,3130},{10,31,3658},{10,31,3658},{10,31,3658},{9,28,2690},{6,31,2795},{4,30,86},{4,30,86},{4,20,129},{0,25,4315},{0,20,809},{14,31,100},{14,31,100},{14,31,100},{13,26,0},{22,9,2178},
{3,31,34},{3,31,34},{0,21,1},{29,10,2178},{0,21,1},{30,18,2665},{19,31,1241},{16,30,5},{6,30,2},{30,18,2665},{30,23,2665},{6,30,2},{0,25,2689},{30,23,2665},{0,25,2689},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{4,28,1},{4,28,1},{4,28,1},{4,19,5},{0,18,666},{0,18,666},{14,31,13094},{12,31,7445},{11,31,3830},{9,31,2742},{12,31,14998},{8,31,5926},{5,31,87},
{4,25,3686},{0,31,14254},{0,25,4323},{18,31,5494},{16,31,2414},{15,31,146},{13,30,282},{29,11,9669},{10,31,5138},{5,31,86},{0,26,3013},{31,17,9669},{0,26,3013},{11,31,3829},{11,31,3829},{11,31,3829},{10,29,2690},{7,31,2981},{5,31,86},{5,31,86},{5,21,129},{0,27,4059},{0,21,597},{15,31,145},{15,31,145},{15,31,145},{14,27,0},{24,8,2178},{5,31,85},{5,31,85},{1,22,1},{30,11,2178},
{1,22,1},{31,19,2665},{20,31,1378},{17,31,5},{7,31,2},{31,19,2665},{29,25,2665},{7,31,2},{0,26,2689},{29,25,2665},{0,26,2689},{10,0,2689},{10,0,2689},{10,0,2689},{10,0,2689},{5,29,1},{5,29,1},{5,29,1},{5,19,10},{0,20,505},{0,20,505},{15,31,12507},{13,31,7370},{12,31,4001},{11,31,2705},{13,31,14148},{8,31,5491},{6,31,154},{5,26,3063},{1,31,13399},{0,26,3306},{19,31,4949},
{17,31,2261},{16,31,202},{15,30,185},{29,13,8712},{11,31,4644},{7,31,145},{0,27,2403},{28,20,8712},{0,27,2403},{12,31,4001},{12,31,4001},{12,31,4001},{11,30,2690},{9,31,3204},{6,31,154},{6,31,154},{6,22,129},{0,28,3762},{0,23,425},{16,31,202},{16,31,202},{16,31,202},{15,28,1},{28,4,2178},{7,31,145},{7,31,145},{2,23,1},{29,13,2178},{2,23,1},{30,22,2178},{22,31,1145},{18,31,1},
{10,31,1},{30,22,2178},{27,27,2178},{10,31,1},{0,27,2178},{27,27,2178},{0,27,2178},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{6,30,1},{6,30,1},{6,30,1},{6,20,5},{0,22,389},{0,22,389},{16,31,11658},{14,31,7195},{13,31,4225},{12,31,2693},{14,31,13066},{10,31,5014},{8,31,261},{6,27,2390},{3,31,12366},{0,27,2277},{20,31,4338},{18,31,2037},{17,31,289},{16,30,89},{29,15,7578},
{13,31,4037},{9,31,202},{0,27,1701},{30,20,7578},{0,27,1701},{13,31,4225},{13,31,4225},{13,31,4225},{12,31,2693},{10,31,3429},{8,31,261},{8,31,261},{7,23,134},{0,30,3509},{0,24,306},{17,31,289},{17,31,289},{17,31,289},{16,29,0},{31,2,2178},{9,31,202},{9,31,202},{3,24,0},{27,16,2178},{3,24,0},{31,22,1625},{23,31,850},{20,31,0},{13,31,1},{31,22,1625},{30,26,1625},{13,31,1},
{0,27,1665},{30,26,1625},{0,27,1665},{12,0,2689},{12,0,2689},{12,0,2689},{12,0,2689},{7,31,5},{7,31,5},{7,31,5},{7,22,8},{0,24,306},{0,24,306},{16,31,11002},{15,31,7081},{14,31,4450},{13,31,2738},{15,31,12205},{11,31,4663},{9,31,411},{7,27,1845},{4,31,11643},{0,28,1578},{21,31,3802},{20,31,1845},{18,31,388},{17,31,25},{30,15,6661},{15,31,3525},{11,31,290},{0,28,1217},{30,21,6661},
{0,28,1217},{14,31,4450},{14,31,4450},{14,31,4450},{13,31,2738},{11,31,3675},{9,31,411},{9,31,411},{8,24,129},{0,31,3354},{0,25,244},{18,31,388},{18,31,388},{18,31,388},{17,30,0},{26,13,2178},{11,31,290},{11,31,290},{4,25,1},{21,21,2178},{4,25,1},{31,23,1201},{24,31,653},{22,31,4},{15,31,1},{31,23,1201},{30,27,1201},{15,31,1},{0,28,1201},{30,27,1201},{0,28,1201},{13,0,2689},
{13,0,2689},{13,0,2689},{13,0,2689},{8,31,17},{8,31,17},{8,31,17},{8,23,5},{0,26,218},{0,26,218},{17,31,10434},{16,31,7010},{15,31,4693},{14,31,2833},{16,31,11374},{12,31,4462},{10,31,629},{8,28,1387},{6,31,10895},{0,28,1002},{22,31,3334},{20,31,1701},{19,31,505},{18,31,0},{30,17,5829},{16,31,3145},{12,31,405},{1,28,866},{25,25,5829},{1,28,866},{15,31,4693},{15,31,4693},{15,31,4693},
{14,31,2833},{12,31,3906},{10,31,629},{10,31,629},{9,25,129},{1,31,3525},{0,27,228},{19,31,505},{19,31,505},{19,31,505},{18,31,0},{28,12,2178},{12,31,405},{12,31,405},{5,26,1},{22,22,2178},{5,26,1},{30,26,841},{25,31,461},{23,31,1},{18,31,0},{30,26,841},{31,27,841},{18,31,0},{0,28,865},{31,27,841},{0,28,865},{14,0,2689},{14,0,2689},{14,0,2689},{14,0,2689},{9,31,50},
{9,31,50},{9,31,50},{9,23,10},{0,28,137},{0,28,137},{18,31,9934},{17,31,6962},{16,31,4913},{15,31,2978},{17,31,10683},{13,31,4277},{11,31,915},{9,28,994},{8,31,10078},{0,29,630},{23,31,2934},{22,31,1605},{21,31,650},{19,31,25},{31,17,5082},{18,31,2769},{14,31,521},{2,29,546},{25,26,5082},{2,29,546},{16,31,4913},{16,31,4913},{16,31,4913},{15,31,2978},{14,31,4170},{11,31,915},{11,31,915},
{10,26,129},{3,31,3789},{1,28,226},{21,31,650},{21,31,650},{21,31,650},{19,31,25},{29,13,2178},{14,31,521},{14,31,521},{6,27,1},{28,20,2178},{6,27,1},{31,26,545},{26,31,305},{25,31,4},{20,31,1},{31,26,545},{29,29,545},{20,31,1},{0,29,545},{29,29,545},{0,29,545},{15,0,2689},{15,0,2689},{15,0,2689},{15,0,2689},{11,31,74},{11,31,74},{11,31,74},{10,24,5},{0,29,85},
{0,29,85},{19,31,9465},{18,31,6955},{17,31,5233},{16,31,3218},{18,31,10003},{14,31,4183},{13,31,1258},{10,29,645},{9,31,9445},{1,30,409},{24,31,2529},{23,31,1525},{22,31,785},{20,31,100},{31,19,4344},{20,31,2345},{16,31,698},{5,29,321},{27,26,4344},{5,29,321},{17,31,5233},{17,31,5233},{17,31,5233},{16,31,3218},{15,31,4491},{13,31,1258},{13,31,1258},{11,27,134},{5,31,4171},{2,29,213},{22,31,785},
{22,31,785},{22,31,785},{20,31,100},{29,16,2178},{16,31,698},{16,31,698},{7,28,0},{31,20,2178},{7,28,0},{31,27,290},{28,31,162},{26,31,4},{23,31,1},{31,27,290},{30,29,290},{23,31,1},{0,29,320},{30,29,290},{0,29,320},{16,0,2689},{16,0,2689},{16,0,2689},{16,0,2689},{12,31,113},{12,31,113},{12,31,113},{11,26,8},{0,31,45},{0,31,45},{20,31,9219},{19,31,6985},{18,31,5530},
{17,31,3473},{19,31,9496},{15,31,4186},{14,31,1630},{12,29,426},{11,31,8961},{3,30,277},{25,31,2275},{24,31,1509},{23,31,932},{22,31,208},{30,22,3779},{21,31,2086},{18,31,850},{6,30,129},{27,27,3779},{6,30,129},{18,31,5530},{18,31,5530},{18,31,5530},{17,31,3473},{16,31,4770},{14,31,1630},{14,31,1630},{12,28,129},{8,31,4442},{3,30,213},{23,31,932},{23,31,932},{23,31,932},{22,31,208},{30,17,2178},
{18,31,850},{18,31,850},{8,29,1},{25,25,2178},{8,29,1},{30,30,128},{29,31,72},{28,31,1},{26,31,0},{30,30,128},{30,30,128},{26,31,0},{0,30,128},{30,30,128},{0,30,128},{17,0,2689},{17,0,2689},{17,0,2689},{17,0,2689},{13,31,170},{13,31,170},{13,31,170},{12,27,5},{2,31,89},{2,31,89},{21,31,8929},{20,31,7062},{19,31,5845},{18,31,3778},{20,31,9188},{17,31,4260},{15,31,2070},
{13,30,234},{13,31,8680},{4,31,228},{26,31,2089},{25,31,1515},{24,31,1073},{23,31,353},{30,24,3299},{22,31,1913},{20,31,965},{9,30,65},{29,27,3299},{9,30,65},{19,31,5845},{19,31,5845},{19,31,5845},{18,31,3778},{17,31,5124},{15,31,2070},{15,31,2070},{13,29,129},{9,31,4725},{4,31,228},{24,31,1073},{24,31,1073},{24,31,1073},{23,31,353},{31,18,2178},{20,31,965},{20,31,965},{9,30,1},{26,26,2178},
{9,30,1},{31,30,34},{30,31,18},{29,31,4},{28,31,1},{31,30,34},{31,30,34},{28,31,1},{0,30,64},{31,30,34},{0,30,64},{18,0,2689},{18,0,2689},{18,0,2689},{18,0,2689},{14,31,245},{14,31,245},{14,31,245},{13,27,10},{4,31,164},{4,31,164},{22,31,8707},{21,31,7170},{21,31,6209},{19,31,4133},{21,31,8853},{18,31,4387},{17,31,2548},{14,31,170},{14,31,8388},{6,31,244},{27,31,1971},
{26,31,1557},{25,31,1250},{24,31,565},{31,24,2904},{23,31,1826},{22,31,1145},{10,31,1},{24,31,2904},{10,31,1},{21,31,6209},{21,31,6209},{21,31,6209},{19,31,4133},{19,31,5460},{17,31,2548},{17,31,2548},{14,30,129},{11,31,5085},{6,31,244},{25,31,1250},{25,31,1250},{25,31,1250},{24,31,565},{30,22,2178},{22,31,1145},{22,31,1145},{10,31,1},{27,27,2178},{10,31,1},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{19,0,2689},{19,0,2689},{19,0,2689},{19,0,2689},{15,31,338},{15,31,338},{15,31,338},{14,28,5},{6,31,244},{6,31,244},{23,31,7705},{22,31,6418},{21,31,5633},{20,31,3845},{22,31,7654},{19,31,3874},{18,31,2310},{15,31,53},{15,31,7258},{8,31,317},{27,31,1458},{27,31,1186},{26,31,932},{25,31,425},{31,25,2166},
{25,31,1398},{23,31,850},{13,31,1},{28,29,2166},{13,31,1},{21,31,5633},{21,31,5633},{21,31,5633},{20,31,3845},{19,31,4830},{18,31,2310},{18,31,2310},{15,31,53},{13,31,4506},{8,31,317},{26,31,932},{26,31,932},{26,31,932},{25,31,425},{31,22,1625},{23,31,850},{23,31,850},{13,31,1},{30,26,1625},{13,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{20,0,2689},{20,0,2689},{20,0,2689},{20,0,2689},{16,31,449},{16,31,449},{16,31,449},{15,30,8},{8,31,317},{8,31,317},{24,31,6881},{23,31,5814},{22,31,5138},{21,31,3650},{23,31,6713},{20,31,3400},{19,31,2142},{16,31,5},{17,31,6397},{9,31,425},{28,31,1075},{27,31,866},{27,31,697},{26,31,320},{31,26,1601},{26,31,1041},{24,31,653},{15,31,1},{29,29,1601},
{15,31,1},{22,31,5138},{22,31,5138},{22,31,5138},{21,31,3650},{21,31,4313},{19,31,2142},{19,31,2142},{16,31,5},{14,31,3981},{9,31,425},{27,31,697},{27,31,697},{27,31,697},{26,31,320},{31,23,1201},{24,31,653},{24,31,653},{15,31,1},{30,27,1201},{15,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{21,0,2689},
{21,0,2689},{21,0,2689},{21,0,2689},{18,31,549},{18,31,549},{18,31,549},{16,31,5},{9,31,425},{9,31,425},{24,31,6097},{24,31,5285},{23,31,4693},{22,31,3473},{23,31,5833},{21,31,3067},{20,31,1988},{17,31,10},{18,31,5571},{11,31,541},{28,31,739},{28,31,595},{27,31,505},{27,31,233},{30,28,1121},{26,31,737},{25,31,461},{18,31,0},{28,30,1121},{18,31,0},{23,31,4693},{23,31,4693},{23,31,4693},
{22,31,3473},{22,31,3845},{20,31,1988},{20,31,1988},{17,31,10},{15,31,3542},{11,31,541},{27,31,505},{27,31,505},{27,31,505},{27,31,233},{30,26,841},{25,31,461},{25,31,461},{18,31,0},{31,27,841},{18,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{22,0,2689},{22,0,2689},{22,0,2689},{22,0,2689},{19,31,666},
{19,31,666},{19,31,666},{17,31,10},{11,31,541},{11,31,541},{25,31,5427},{24,31,4757},{24,31,4273},{23,31,3314},{24,31,5002},{22,31,2788},{21,31,1898},{18,31,65},{20,31,4714},{13,31,698},{29,31,489},{28,31,387},{28,31,306},{28,31,162},{30,29,726},{27,31,482},{26,31,305},{20,31,1},{29,30,726},{20,31,1},{24,31,4273},{24,31,4273},{24,31,4273},{23,31,3314},{22,31,3429},{21,31,1898},{21,31,1898},
{18,31,65},{17,31,3213},{13,31,698},{28,31,306},{28,31,306},{28,31,306},{28,31,162},{31,26,545},{26,31,305},{26,31,305},{20,31,1},{29,29,545},{20,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,2689},{23,0,2689},{23,0,2689},{23,0,2689},{20,31,832},{20,31,832},{20,31,832},{18,31,65},{13,31,698},
{13,31,698},{4,31,33740},{0,31,5184},{0,22,420},{0,21,4221},{3,31,45594},{0,29,24105},{0,21,8317},{0,18,24790},{0,21,63990},{0,16,38959},{2,31,9704},{0,30,2866},{0,21,389},{0,19,3229},{14,2,18065},{0,20,13257},{0,17,6153},{0,12,13481},{25,0,18065},{0,12,13481},{0,15,1},{0,15,1},{0,15,1},{0,9,1},{0,8,1105},{0,7,585},{0,7,585},{0,4,596},{0,4,1273},{0,4,740},{0,15,1},
{0,15,1},{0,15,1},{0,9,1},{4,1,1105},{0,7,585},{0,7,585},{0,4,596},{8,0,1105},{0,4,596},{20,4,9248},{0,30,2866},{0,21,389},{0,19,3229},{20,4,9248},{29,5,9248},{0,19,3229},{0,14,9248},{29,5,9248},{0,14,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,31,38380},{1,31,6614},{0,23,245},
{0,22,3864},{4,31,50747},{0,31,24961},{0,22,8353},{0,19,25735},{0,22,65535},{0,17,41319},{2,31,10152},{0,31,2624},{0,23,229},{0,20,2980},{16,0,19334},{0,20,13769},{0,18,6243},{0,13,14116},{25,1,19334},{0,13,14116},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{0,9,1513},{0,8,772},{0,8,772},{0,5,821},{0,5,1750},{0,4,1028},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{5,1,1513},
{0,8,772},{0,8,772},{0,5,821},{9,0,1513},{0,5,821},{24,0,9248},{0,31,2624},{0,23,229},{0,20,2980},{24,0,9248},{30,6,9248},{0,20,2980},{0,15,9248},{30,6,9248},{0,15,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,31,43788},{1,31,8598},{0,24,126},{0,23,3525},{4,31,56155},{0,31,26241},{0,23,8425},
{0,20,26793},{0,23,65535},{0,18,43819},{3,31,10706},{0,31,2624},{0,24,122},{0,21,2701},{17,0,20689},{0,22,14385},{0,19,6369},{0,13,14756},{25,2,20689},{0,13,14756},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{0,10,1989},{0,9,1018},{0,9,1018},{0,6,1096},{0,5,2294},{0,5,1334},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{5,2,1985},{0,9,1018},{0,9,1018},{0,6,1096},{9,1,1985},
{0,6,1096},{25,1,9248},{0,31,2624},{0,24,122},{0,21,2701},{25,1,9248},{31,7,9248},{0,21,2701},{0,16,9250},{31,7,9248},{0,16,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{5,31,49566},{1,31,11350},{0,25,41},{0,24,3109},{4,31,62331},{0,31,28289},{0,24,8585},{0,21,27848},{0,23,65535},{0,19,46459},{4,31,11395},
{0,31,2880},{0,25,37},{0,22,2440},{17,2,22129},{0,23,15030},{0,20,6509},{0,14,15441},{27,2,22129},{0,14,15441},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{0,12,2525},{0,10,1300},{0,10,1300},{0,6,1384},{0,6,2905},{0,6,1708},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{7,0,2521},{0,10,1300},{0,10,1300},{0,6,1384},{10,1,2521},{0,6,1384},{26,2,9248},{1,31,2866},{0,25,37},
{0,22,2440},{26,2,9248},{27,11,9248},{0,22,2440},{0,17,9250},{27,11,9248},{0,17,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{5,31,56892},{2,31,15166},{0,26,20},{0,25,2804},{5,31,65535},{0,31,31511},{0,25,8733},{0,22,29095},{0,26,65535},{0,20,49444},{4,31,12385},{1,31,3380},{0,26,4},{0,23,2173},{17,4,23851},
{0,23,15948},{0,21,6729},{0,15,16274},{29,2,23851},{0,15,16274},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{0,13,3200},{0,11,1665},{0,11,1665},{0,7,1754},{0,7,3691},{0,6,2185},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{2,10,3200},{0,11,1665},{0,11,1665},{0,7,1754},{13,0,3200},{0,7,1754},{24,8,9248},{3,31,3204},{0,26,4},{0,23,2173},{24,8,9248},{30,11,9248},{0,23,2173},
{0,18,9248},{30,11,9248},{0,18,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,31,63870},{2,31,19230},{0,27,45},{0,27,2520},{5,31,65535},{1,31,35016},{0,26,8925},{0,23,30250},{0,28,65535},{0,21,52374},{5,31,13379},{2,31,4026},{0,27,29},{0,24,1901},{18,4,25472},{0,26,16706},{0,22,6963},{0,16,17124},{29,3,25472},
{0,16,17124},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{0,14,3874},{0,13,2084},{0,13,2084},{0,8,2165},{0,8,4466},{0,7,2627},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{8,1,3872},{0,13,2084},{0,13,2084},{0,8,2165},{6,5,3872},{0,8,2165},{28,4,9248},{5,31,3589},{1,27,4},{0,24,1901},{28,4,9248},{29,13,9248},{0,24,1901},{0,19,9248},{29,13,9248},{0,19,9248},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,31,65535},{2,31,24002},{0,28,109},{0,27,2268},{6,31,65535},{1,31,38780},{0,27,8825},{0,24,30825},{0,28,65535},{0,22,54996},{6,31,14345},{2,31,4766},{1,28,62},{0,26,1697},{18,6,26744},{0,28,17104},{0,23,6957},{0,17,17625},{31,3,26744},{0,17,17625},{0,31,5},{0,31,5},{0,31,5},
{0,19,5},{0,16,4418},{0,14,2306},{0,14,2306},{0,9,2420},{0,8,5122},{0,8,2997},{0,31,5},{0,31,5},{0,31,5},{0,19,5},{9,1,4418},{0,14,2306},{0,14,2306},{0,9,2420},{16,0,4418},{0,9,2420},{29,5,9248},{8,31,3904},{2,28,1},{0,26,1693},{29,5,9248},{30,14,9248},{0,26,1693},{0,20,9250},{30,14,9248},{0,20,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{7,31,65535},{3,31,29032},{0,29,330},{0,28,2105},{6,31,65535},{2,31,42151},{0,28,7781},{0,25,30108},{0,29,65535},{0,22,56388},{7,31,14819},{3,31,5416},{2,29,62},{0,27,1580},{23,0,26744},{0,29,16547},{0,24,6221},{0,18,17124},{30,5,26744},{0,18,17124},{1,31,84},{1,31,84},{1,31,84},{1,20,72},{0,19,4420},{0,16,2005},{0,16,2005},
{0,10,2165},{0,9,5389},{0,9,2925},{1,31,20},{1,31,20},{1,31,20},{1,20,8},{10,2,4418},{0,16,2005},{0,16,2005},{0,10,2165},{17,1,4418},{0,10,2165},{30,6,9248},{8,31,4160},{3,29,1},{0,27,1480},{30,6,9248},{31,15,9248},{0,27,1480},{0,21,9250},{31,15,9248},{0,21,9250},{1,0,68},{1,0,68},{1,0,68},{1,0,68},{0,3,1},{0,3,1},{0,3,1},{0,2,0},{0,1,34},
{0,1,34},{7,31,65535},{3,31,35719},{1,30,717},{0,30,2062},{7,31,65535},{2,31,46660},{0,29,6696},{0,26,29322},{0,31,65535},{0,23,58077},{9,31,15473},{5,31,6173},{3,30,65},{1,28,1601},{23,3,26744},{0,31,15992},{0,26,5346},{0,19,16582},{28,8,26744},{0,19,16582},{2,31,329},{2,31,329},{2,31,329},{1,21,189},{0,22,4420},{0,18,1737},{0,18,1737},{0,11,1898},{0,11,5707},{0,10,2885},{3,31,34},
{3,31,34},{3,31,34},{2,21,10},{13,0,4418},{0,18,1737},{0,18,1737},{0,11,1898},{20,1,4418},{0,11,1898},{28,12,9248},{10,31,4570},{4,30,4},{0,28,1285},{28,12,9248},{22,22,9248},{0,28,1285},{0,22,9248},{22,22,9248},{0,22,9248},{1,0,185},{1,0,185},{1,0,185},{1,0,185},{0,6,1},{0,6,1},{0,6,1},{0,4,1},{0,3,97},{0,3,97},{7,31,65535},{4,31,40786},{1,31,1122},
{0,30,2138},{7,31,65535},{2,31,49800},{0,30,5634},{0,27,27967},{0,31,65535},{0,24,58770},{10,31,15531},{6,31,6593},{4,31,61},{2,29,1533},{25,2,26259},{0,31,15284},{0,27,4514},{0,20,15812},{27,10,26259},{0,20,15812},{2,31,633},{2,31,633},{2,31,633},{2,22,381},{0,24,4418},{0,20,1480},{0,20,1480},{0,12,1640},{0,12,6125},{0,11,2891},{4,31,61},{4,31,61},{4,31,61},{3,22,10},{14,1,4418},
{0,20,1480},{0,20,1480},{0,12,1640},{24,0,4418},{0,12,1640},{30,11,8978},{11,31,4744},{5,31,0},{0,29,1040},{30,11,8978},{31,18,8978},{0,29,1040},{0,23,8980},{31,18,8978},{0,23,8980},{2,0,377},{2,0,377},{2,0,377},{2,0,377},{0,9,0},{0,9,0},{0,9,0},{0,5,4},{0,4,193},{0,4,193},{8,31,65535},{4,31,40898},{1,31,1890},{0,31,2125},{7,31,65535},{3,31,47871},{0,30,4194},
{0,27,24703},{0,31,65535},{0,24,56130},{11,31,14325},{8,31,6051},{5,31,100},{3,29,1218},{22,9,24371},{0,31,13716},{0,28,3402},{0,21,13989},{29,10,24371},{0,21,13989},{3,31,1058},{3,31,1058},{3,31,1058},{2,24,617},{0,27,4420},{0,22,1280},{0,22,1280},{0,13,1445},{0,14,6509},{0,12,2945},{5,31,100},{5,31,100},{5,31,100},{4,23,5},{16,0,4418},{0,22,1280},{0,22,1280},{0,13,1445},{25,1,4418},
{0,13,1445},{29,14,7938},{13,31,4225},{7,31,4},{0,29,656},{29,14,7938},{29,20,7938},{0,29,656},{0,23,7956},{29,20,7938},{0,23,7956},{2,0,617},{2,0,617},{2,0,617},{2,0,617},{0,11,4},{0,11,4},{0,11,4},{0,7,0},{0,5,325},{0,5,325},{8,31,65535},{4,31,41266},{1,31,2914},{1,31,2170},{7,31,65535},{3,31,46175},{0,30,3010},{0,27,21695},{0,31,65535},{0,25,53636},{12,31,13140},
{8,31,5571},{6,31,157},{4,29,932},{24,7,22568},{0,31,12404},{0,28,2474},{0,21,12245},{29,11,22568},{0,21,12245},{4,31,1630},{4,31,1630},{4,31,1630},{3,25,937},{0,29,4420},{0,23,1090},{0,23,1090},{0,14,1268},{0,15,6926},{0,13,3029},{6,31,157},{6,31,157},{6,31,157},{5,24,8},{17,1,4418},{0,23,1090},{0,23,1090},{0,14,1268},{26,2,4418},{0,14,1268},{31,12,6962},{14,31,3709},{8,31,1},
{0,30,353},{31,12,6962},{27,22,6962},{0,30,353},{0,24,6970},{27,22,6962},{0,24,6970},{3,0,937},{3,0,937},{3,0,937},{3,0,937},{0,14,0},{0,14,0},{0,14,0},{0,8,4},{0,6,493},{0,6,493},{9,31,65535},{5,31,41956},{2,31,4257},{1,31,2512},{7,31,65535},{3,31,44573},{0,30,1984},{0,28,18569},{0,31,65535},{0,25,51026},{13,31,11930},{10,31,5125},{7,31,250},{5,29,701},{27,4,20642},
{1,31,11209},{0,29,1634},{0,22,10422},{31,11,20642},{0,22,10422},{4,31,2350},{4,31,2350},{4,31,2350},{3,27,1361},{0,31,4450},{0,25,949},{0,25,949},{0,16,1096},{0,16,7397},{0,14,3171},{7,31,250},{7,31,250},{7,31,250},{6,25,10},{17,4,4418},{0,25,949},{0,25,949},{0,16,1096},{29,2,4418},{0,16,1096},{30,15,5941},{15,31,3176},{10,31,0},{0,30,128},{30,15,5941},{30,21,5941},{0,30,128},
{0,24,5953},{30,21,5941},{0,24,5953},{3,0,1360},{3,0,1360},{3,0,1360},{3,0,1360},{0,17,0},{0,17,0},{0,17,0},{0,10,1},{0,8,697},{0,8,697},{9,31,65535},{5,31,42660},{2,31,5617},{1,31,3088},{8,31,65535},{3,31,43421},{0,31,1250},{0,28,15865},{0,31,65535},{0,25,48978},{13,31,10922},{11,31,4753},{8,31,360},{6,30,509},{28,4,19021},{2,31,10246},{0,30,1088},{0,23,8945},{29,13,19021},
{0,23,8945},{5,31,3131},{5,31,3131},{5,31,3131},{4,28,1822},{1,31,4580},{0,28,776},{0,28,776},{0,17,925},{0,18,7893},{0,15,3333},{8,31,360},{8,31,360},{8,31,360},{7,26,10},{18,5,4418},{0,28,776},{0,28,776},{0,17,925},{30,3,4418},{0,17,925},{31,15,5101},{17,31,2777},{11,31,9},{0,31,25},{31,15,5101},{30,22,5101},{0,31,25},{0,25,5105},{30,22,5101},{0,25,5105},{4,0,1818},
{4,0,1818},{4,0,1818},{4,0,1818},{0,20,1},{0,20,1},{0,20,1},{0,12,1},{0,9,925},{0,9,925},{9,31,65535},{5,31,43620},{2,31,7233},{1,31,3920},{8,31,65535},{3,31,42525},{0,31,738},{0,28,13417},{0,31,65535},{0,25,47186},{14,31,9978},{11,31,4449},{10,31,452},{7,30,354},{31,1,17485},{3,31,9369},{0,30,704},{0,24,7570},{31,13,17485},{0,24,7570},{6,31,4058},{6,31,4058},{6,31,4058},
{4,29,2315},{2,31,4874},{0,29,610},{0,29,610},{0,18,772},{0,20,8427},{0,16,3497},{10,31,452},{10,31,452},{10,31,452},{8,27,5},{20,4,4418},{0,29,610},{0,29,610},{0,18,772},{29,5,4418},{0,18,772},{31,16,4325},{18,31,2357},{13,31,0},{1,31,0},{31,16,4325},{31,22,4325},{1,31,0},{0,25,4337},{31,22,4325},{0,25,4337},{4,0,2314},{4,0,2314},{4,0,2314},{4,0,2314},{0,22,1},
{0,22,1},{0,22,1},{0,13,4},{0,10,1189},{0,10,1189},{9,31,65535},{5,31,44836},{2,31,9105},{2,31,4905},{8,31,65535},{3,31,41885},{0,31,482},{0,28,11225},{0,31,65535},{0,26,45590},{15,31,9102},{13,31,4161},{11,31,557},{9,30,212},{29,6,16034},{5,31,8602},{0,31,482},{0,24,6242},{31,14,16034},{0,24,6242},{6,31,5066},{6,31,5066},{6,31,5066},{5,30,2907},{2,31,5322},{0,31,482},{0,31,482},
{0,19,637},{0,20,8939},{0,17,3725},{11,31,557},{11,31,557},{11,31,557},{9,28,8},{24,0,4418},{0,31,482},{0,31,482},{0,19,637},{30,6,4418},{0,19,637},{30,19,3613},{20,31,1940},{15,31,4},{4,31,1},{30,19,3613},{31,23,3613},{4,31,1},{0,26,3617},{31,23,3613},{0,26,3617},{5,0,2906},{5,0,2906},{5,0,2906},{5,0,2906},{0,25,1},{0,25,1},{0,25,1},{0,15,0},{0,11,1489},
{0,11,1489},{9,31,65535},{5,31,46510},{3,31,11362},{2,31,6237},{9,31,65535},{3,31,41471},{0,31,500},{0,29,8976},{0,31,65535},{0,26,43934},{16,31,8139},{14,31,3853},{12,31,680},{10,30,109},{26,13,14504},{8,31,7667},{0,31,500},{0,25,4979},{21,21,14504},{0,25,4979},{7,31,6337},{7,31,6337},{7,31,6337},{5,31,3642},{3,31,5962},{0,31,500},{0,31,500},{0,20,520},{0,22,9629},{0,18,4035},{12,31,680},
{12,31,680},{12,31,680},{10,29,10},{24,3,4418},{0,31,500},{0,31,500},{0,20,520},{28,9,4418},{0,20,520},{31,19,2888},{20,31,1517},{16,31,1},{7,31,1},{31,19,2888},{27,26,2888},{7,31,1},{0,26,2906},{27,26,2888},{0,26,2906},{5,0,3617},{5,0,3617},{5,0,3617},{5,0,3617},{0,28,1},{0,28,1},{0,28,1},{0,17,4},{0,11,1930},{0,11,1930},{10,31,65535},{6,31,48082},{3,31,13570},
{2,31,7693},{9,31,65535},{3,31,41375},{0,31,788},{0,29,7120},{0,31,65535},{0,26,42734},{17,31,7409},{15,31,3625},{13,31,821},{11,31,45},{28,11,13235},{8,31,6899},{2,31,628},{0,25,3987},{31,16,13235},{0,25,3987},{7,31,7681},{7,31,7681},{7,31,7681},{6,31,4437},{4,31,6659},{1,31,738},{1,31,738},{0,21,421},{0,23,10286},{0,20,4305},{13,31,821},{13,31,821},{13,31,821},{11,30,10},{22,9,4418},
{2,31,628},{2,31,628},{0,21,421},{29,10,4418},{0,21,421},{31,20,2312},{21,31,1217},{18,31,1},{9,31,0},{31,20,2312},{30,25,2312},{9,31,0},{0,27,2314},{30,25,2312},{0,27,2314},{6,0,4337},{6,0,4337},{6,0,4337},{6,0,4337},{0,30,1},{0,30,1},{0,30,1},{0,18,1},{0,13,2329},{0,13,2329},{10,31,65535},{6,31,49890},{3,31,16034},{2,31,9405},{9,31,65535},{4,31,41526},{0,31,1332},
{0,29,5520},{0,31,65535},{0,26,41790},{18,31,6747},{16,31,3459},{14,31,980},{12,31,5},{31,8,12051},{10,31,6275},{4,31,801},{0,26,3066},{28,19,12051},{0,26,3066},{8,31,9062},{8,31,9062},{8,31,9062},{7,31,5410},{4,31,7555},{1,31,1154},{1,31,1154},{0,23,325},{0,23,11118},{0,20,4625},{14,31,980},{14,31,980},{14,31,980},{12,31,5},{24,8,4418},{4,31,801},{4,31,801},{0,23,325},{30,11,4418},
{0,23,325},{30,23,1800},{23,31,949},{19,31,4},{12,31,1},{30,23,1800},{28,27,1800},{12,31,1},{0,27,1818},{28,27,1800},{0,27,1818},{6,0,5105},{6,0,5105},{6,0,5105},{6,0,5105},{0,31,36},{0,31,36},{0,31,36},{0,20,4},{0,15,2741},{0,15,2741},{10,31,65535},{6,31,51954},{3,31,18754},{3,31,11330},{9,31,65535},{4,31,41798},{1,31,2082},{0,29,4176},{0,31,65535},{0,27,41092},{19,31,6153},
{17,31,3297},{16,31,1154},{13,31,20},{29,13,10952},{11,31,5708},{6,31,965},{0,27,2291},{28,20,10952},{0,27,2291},{9,31,10545},{9,31,10545},{9,31,10545},{7,31,6482},{5,31,8549},{2,31,1716},{2,31,1716},{0,24,221},{0,26,11876},{0,22,4989},{16,31,1154},{16,31,1154},{16,31,1154},{13,31,20},{28,4,4418},{6,31,965},{6,31,965},{0,24,221},{29,13,4418},{0,24,221},{29,26,1352},{23,31,725},{21,31,0},
{14,31,1},{29,26,1352},{31,26,1352},{14,31,1},{0,28,1360},{31,26,1352},{0,28,1360},{7,0,5953},{7,0,5953},{7,0,5953},{7,0,5953},{1,31,145},{1,31,145},{1,31,145},{0,21,1},{0,16,3130},{0,16,3130},{10,31,65535},{6,31,54582},{4,31,21886},{3,31,13652},{9,31,65535},{4,31,42410},{1,31,3144},{0,30,2841},{0,31,65535},{0,27,40390},{19,31,5649},{18,31,3157},{17,31,1325},{15,31,74},{29,15,9818},
{13,31,5241},{8,31,1108},{0,27,1589},{30,20,9818},{0,27,1589},{10,31,12376},{10,31,12376},{10,31,12376},{8,31,7844},{6,31,9861},{3,31,2576},{3,31,2576},{0,25,136},{0,28,12696},{0,23,5429},{17,31,1325},{17,31,1325},{17,31,1325},{15,31,74},{31,2,4418},{8,31,1108},{8,31,1108},{0,25,136},{27,16,4418},{0,25,136},{31,24,925},{25,31,505},{23,31,1},{17,31,1},{31,24,925},{31,27,925},{17,31,1},
{0,28,937},{31,27,925},{0,28,937},{7,0,6970},{7,0,6970},{7,0,6970},{7,0,6970},{1,31,388},{1,31,388},{1,31,388},{0,23,0},{0,17,3665},{0,17,3665},{10,31,65535},{7,31,57052},{4,31,24910},{3,31,15988},{9,31,65535},{4,31,43226},{1,31,4360},{0,30,1833},{0,31,65535},{0,27,40038},{21,31,5202},{19,31,3073},{18,31,1508},{16,31,180},{30,15,8901},{14,31,4814},{10,31,1300},{0,28,1021},{30,21,8901},
{0,28,1021},{10,31,14136},{10,31,14136},{10,31,14136},{8,31,9252},{7,31,11195},{3,31,3536},{3,31,3536},{0,26,85},{0,29,13491},{0,23,5925},{18,31,1508},{18,31,1508},{18,31,1508},{16,31,180},{26,13,4418},{10,31,1300},{10,31,1300},{0,26,85},{21,21,4418},{0,26,85},{30,27,613},{26,31,337},{24,31,1},{20,31,1},{30,27,613},{30,28,613},{20,31,1},{0,29,617},{30,28,613},{0,29,617},{8,0,7956},
{8,0,7956},{8,0,7956},{8,0,7956},{2,31,697},{2,31,697},{2,31,697},{0,25,4},{0,18,4181},{0,18,4181},{11,31,65535},{7,31,59708},{4,31,28190},{3,31,18580},{10,31,65535},{5,31,44295},{1,31,5832},{0,30,1081},{0,31,65535},{0,27,39942},{22,31,4818},{20,31,3017},{19,31,1709},{17,31,325},{30,17,8069},{15,31,4473},{11,31,1514},{0,29,602},{25,25,8069},{0,29,602},{11,31,15965},{11,31,15965},{11,31,15965},
{9,31,10757},{7,31,12667},{4,31,4662},{4,31,4662},{0,27,52},{0,30,14340},{0,25,6449},{19,31,1709},{19,31,1709},{19,31,1709},{17,31,325},{28,12,4418},{11,31,1514},{11,31,1514},{0,27,52},{22,22,4418},{0,27,52},{31,27,365},{27,31,205},{26,31,1},{22,31,1},{31,27,365},{30,29,365},{22,31,1},{0,29,377},{30,29,365},{0,29,377},{8,0,8980},{8,0,8980},{8,0,8980},{8,0,8980},{2,31,1097},
{2,31,1097},{2,31,1097},{0,26,1},{0,20,4682},{0,20,4682},{11,31,65535},{8,31,58981},{5,31,29551},{4,31,19751},{10,31,65535},{5,31,43215},{2,31,6910},{1,30,686},{0,31,65535},{0,28,34909},{23,31,4502},{21,31,3011},{20,31,1973},{18,31,520},{31,17,7322},{17,31,4242},{13,31,1769},{0,29,314},{25,26,7322},{0,29,314},{12,31,16739},{12,31,16739},{12,31,16739},{10,31,11492},{8,31,13636},{5,31,5510},{5,31,5510},
{1,28,54},{0,31,14139},{0,26,6041},{20,31,1973},{20,31,1973},{20,31,1973},{18,31,520},{29,13,4418},{13,31,1769},{13,31,1769},{0,28,29},{28,20,4418},{0,28,29},{31,28,181},{28,31,97},{27,31,4},{25,31,0},{31,28,181},{31,29,181},{25,31,0},{0,30,185},{31,29,181},{0,30,185},{9,0,9248},{9,0,9248},{9,0,9248},{9,0,9248},{3,31,1348},{3,31,1348},{3,31,1348},{1,27,5},{0,21,4520},
{0,21,4520},{12,31,65535},{9,31,57270},{6,31,30345},{5,31,20521},{11,31,65535},{6,31,41449},{3,31,8015},{2,31,301},{0,31,65535},{0,28,28330},{24,31,4181},{22,31,3053},{21,31,2248},{20,31,772},{31,19,6584},{20,31,3941},{15,31,2041},{0,30,77},{27,26,6584},{0,30,77},{13,31,17289},{13,31,17289},{13,31,17289},{11,31,12050},{10,31,14315},{7,31,6389},{7,31,6389},{2,29,53},{0,31,13860},{0,28,5286},{21,31,2248},
{21,31,2248},{21,31,2248},{20,31,772},{29,16,4418},{15,31,2041},{15,31,2041},{0,30,13},{31,20,4418},{0,30,13},{30,31,50},{30,31,34},{29,31,0},{28,31,1},{30,31,50},{31,30,50},{28,31,1},{0,30,68},{31,30,50},{0,30,68},{10,0,9250},{10,0,9250},{10,0,9250},{10,0,9250},{4,31,1549},{4,31,1549},{4,31,1549},{2,28,2},{0,23,4114},{0,23,4114},{13,31,65535},{9,31,55894},{7,31,31068},
{6,31,21256},{12,31,65535},{8,31,39740},{4,31,9073},{3,31,90},{0,31,65535},{0,29,23356},{24,31,3973},{23,31,3125},{23,31,2500},{21,31,1037},{30,22,6019},{20,31,3701},{17,31,2340},{0,31,4},{27,27,6019},{0,31,4},{14,31,17796},{14,31,17796},{14,31,17796},{12,31,12625},{11,31,14957},{8,31,7139},{8,31,7139},{3,30,53},{0,31,14020},{0,29,4652},{23,31,2500},{23,31,2500},{23,31,2500},{21,31,1037},{30,17,4418},
{17,31,2340},{17,31,2340},{0,31,4},{25,25,4418},{0,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{31,31,4},{30,31,1},{0,31,4},{31,31,4},{0,31,4},{11,0,9250},{11,0,9250},{11,0,9250},{11,0,9250},{6,31,1765},{6,31,1765},{6,31,1765},{3,29,2},{0,25,3877},{0,25,3877},{13,31,65535},{10,31,53236},{8,31,30487},{7,31,21105},{13,31,65535},{8,31,37332},{5,31,9177},
{4,31,36},{1,31,65535},{0,29,18680},{25,31,3443},{24,31,2741},{23,31,2248},{22,31,980},{29,25,5163},{21,31,3218},{20,31,2117},{3,31,1},{30,26,5163},{3,31,1},{15,31,17289},{15,31,17289},{15,31,17289},{13,31,12512},{12,31,14328},{9,31,7149},{9,31,7149},{4,31,20},{0,31,13376},{0,29,3944},{23,31,2248},{23,31,2248},{23,31,2248},{22,31,980},{31,17,3872},{20,31,2117},{20,31,2117},{3,31,1},{25,26,3872},
{3,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{12,0,9248},{12,0,9248},{12,0,9248},{12,0,9248},{7,31,1972},{7,31,1972},{7,31,1972},{4,30,5},{0,27,3545},{0,27,3545},{14,31,65535},{11,31,50266},{9,31,29322},{8,31,20567},{13,31,65535},{9,31,35025},{6,31,8985},{5,31,21},{2,31,65535},{0,29,14712},{26,31,2873},
{25,31,2283},{24,31,1825},{22,31,820},{30,24,4267},{22,31,2657},{20,31,1685},{5,31,1},{29,27,4267},{5,31,1},{16,31,16427},{16,31,16427},{16,31,16427},{14,31,12185},{13,31,13442},{10,31,6915},{10,31,6915},{5,31,5},{1,31,12539},{0,30,3314},{24,31,1825},{24,31,1825},{24,31,1825},{22,31,820},{28,23,3200},{20,31,1685},{20,31,1685},{5,31,1},{28,25,3200},{5,31,1},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{13,0,9248},{13,0,9248},{13,0,9248},{13,0,9248},{8,31,2250},{8,31,2250},{8,31,2250},{5,31,5},{0,28,3170},{0,28,3170},{15,31,65535},{12,31,47239},{10,31,28065},{9,31,20104},{14,31,65535},{10,31,32574},{7,31,8839},{6,31,54},{3,31,64890},{0,30,10964},{26,31,2252},{25,31,1806},{25,31,1445},{23,31,650},{30,25,3361},
{23,31,2091},{21,31,1322},{8,31,0},{30,27,3361},{8,31,0},{17,31,15584},{17,31,15584},{17,31,15584},{15,31,11846},{14,31,12522},{11,31,6697},{11,31,6697},{6,31,50},{3,31,11669},{0,31,2834},{25,31,1445},{25,31,1445},{25,31,1445},{23,31,650},{30,21,2521},{21,31,1322},{21,31,1322},{8,31,0},{31,24,2521},{8,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{14,0,9250},{14,0,9250},{14,0,9250},{14,0,9250},{9,31,2525},{9,31,2525},{9,31,2525},{6,31,50},{0,31,2834},{0,31,2834},{16,31,65535},{13,31,44559},{11,31,27000},{10,31,19705},{15,31,64179},{11,31,30525},{8,31,8677},{7,31,149},{3,31,60570},{0,30,8308},{27,31,1782},{26,31,1416},{25,31,1157},{24,31,520},{30,26,2646},{23,31,1691},{22,31,1040},{11,31,1},{31,27,2646},
{11,31,1},{18,31,14889},{18,31,14889},{18,31,14889},{16,31,11585},{15,31,11778},{12,31,6555},{12,31,6555},{7,31,145},{3,31,11061},{0,31,2610},{25,31,1157},{25,31,1157},{25,31,1157},{24,31,520},{31,21,1985},{22,31,1040},{22,31,1040},{11,31,1},{31,25,1985},{11,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{15,0,9250},
{15,0,9250},{15,0,9250},{15,0,9250},{10,31,2792},{10,31,2792},{10,31,2792},{7,31,145},{0,31,2610},{0,31,2610},{16,31,63318},{14,31,42019},{12,31,25930},{11,31,19324},{16,31,59178},{11,31,28845},{9,31,8605},{8,31,276},{6,31,56253},{0,30,6420},{27,31,1366},{27,31,1094},{26,31,872},{25,31,397},{30,27,2017},{25,31,1298},{23,31,794},{13,31,1},{30,28,2017},{13,31,1},{19,31,14244},{19,31,14244},{19,31,14244},
{17,31,11312},{16,31,11037},{13,31,6429},{13,31,6429},{8,31,260},{6,31,10457},{0,31,2642},{26,31,872},{26,31,872},{26,31,872},{25,31,397},{31,22,1513},{23,31,794},{23,31,794},{13,31,1},{29,27,1513},{13,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{16,0,9248},{16,0,9248},{16,0,9248},{16,0,9248},{12,31,3074},
{12,31,3074},{12,31,3074},{8,31,260},{0,31,2642},{0,31,2642},{17,31,58848},{15,31,39619},{13,31,24975},{12,31,19007},{16,31,54474},{13,31,27057},{10,31,8569},{9,31,461},{8,31,51302},{0,31,5046},{28,31,979},{27,31,806},{27,31,637},{26,31,292},{31,26,1473},{26,31,953},{24,31,605},{16,31,0},{29,29,1473},{16,31,0},{19,31,13604},{19,31,13604},{19,31,13604},{18,31,11057},{16,31,10429},{14,31,6339},{14,31,6339},
{10,31,424},{8,31,9713},{1,31,2900},{27,31,637},{27,31,637},{27,31,637},{26,31,292},{30,25,1105},{24,31,605},{24,31,605},{16,31,0},{30,27,1105},{16,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{17,0,9248},{17,0,9248},{17,0,9248},{17,0,9248},{12,31,3330},{12,31,3330},{12,31,3330},{10,31,424},{1,31,2900},
{1,31,2900},
/**** ended inlining basisu_transcoder_tables_atc_55.inc ****/
};
static const etc1s_to_atc_solution g_etc1s_to_atc_56[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_atc_56.inc ****/
{0,3,20},{0,3,5},{0,2,1},{0,2,9},{0,2,35},{0,2,27},{0,1,17},{0,1,24},{0,1,41},{0,1,25},{0,3,20},{0,3,5},{0,2,1},{0,2,9},{0,2,35},{0,2,27},{0,1,17},{0,1,24},{1,0,35},{0,1,24},{0,1,1},{0,1,1},{0,1,1},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{1,0,18},{0,3,5},{0,2,1},{0,2,9},{1,0,18},{1,1,18},{0,2,9},{0,1,20},{1,1,18},{0,1,20},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,9,54},{0,7,37},{0,4,52},
{0,4,36},{0,7,52},{0,5,21},{0,4,0},{0,3,21},{0,4,88},{0,3,37},{1,5,24},{1,5,9},{1,4,5},{1,4,13},{2,1,51},{0,5,21},{0,4,0},{0,3,21},{3,1,51},{0,3,21},{0,7,36},{0,7,36},{0,7,36},{0,4,36},{0,5,10},{0,4,0},{0,4,0},{0,2,5},{0,3,26},{0,2,14},{1,3,5},{1,3,5},{1,3,5},{1,3,4},{1,2,8},
{0,4,0},{0,4,0},{0,2,5},{2,1,8},{0,2,5},{2,2,18},{0,7,1},{1,4,1},{0,4,0},{2,2,18},{2,3,18},{0,4,0},{0,3,20},{2,3,18},{0,3,20},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,10},{0,2,10},{1,11,54},{1,9,37},{1,6,52},{1,6,36},{1,9,52},{1,7,21},{1,6,0},
{1,5,21},{0,7,63},{0,5,25},{2,7,24},{2,7,9},{2,6,5},{2,6,13},{3,3,51},{1,7,21},{1,6,0},{1,5,21},{4,3,51},{1,5,21},{1,9,36},{1,9,36},{1,9,36},{1,6,36},{1,7,10},{1,6,0},{1,6,0},{1,4,5},{0,6,11},{0,5,9},{2,5,5},{2,5,5},{2,5,5},{2,5,4},{3,1,8},{1,6,0},{1,6,0},{1,4,5},{3,3,8},
{1,4,5},{3,4,18},{1,9,1},{2,6,1},{1,6,0},{3,4,18},{7,0,18},{1,6,0},{0,5,20},{7,0,18},{0,5,20},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,6,0},{1,6,0},{1,6,0},{1,4,1},{0,6,2},{0,6,2},{2,13,54},{2,11,37},{2,8,52},{2,8,36},{2,11,52},{2,9,21},{2,8,0},{2,7,21},{0,11,51},{1,7,25},{3,9,24},
{3,9,9},{3,8,5},{3,8,13},{5,1,51},{2,9,21},{2,8,0},{2,7,21},{9,0,51},{2,7,21},{2,11,36},{2,11,36},{2,11,36},{2,8,36},{2,9,10},{2,8,0},{2,8,0},{2,6,5},{1,8,11},{1,7,9},{3,7,5},{3,7,5},{3,7,5},{3,7,4},{3,6,8},{2,8,0},{2,8,0},{2,6,5},{8,0,8},{2,6,5},{4,6,18},{2,11,1},{3,8,1},
{2,8,0},{4,6,18},{8,2,18},{2,8,0},{0,7,20},{8,2,18},{0,7,20},{2,0,36},{2,0,36},{2,0,36},{2,0,36},{2,8,0},{2,8,0},{2,8,0},{2,6,1},{1,8,2},{1,8,2},{3,15,70},{3,13,51},{4,10,69},{3,10,52},{3,14,52},{3,12,25},{3,10,4},{3,9,27},{1,13,53},{2,10,26},{4,12,22},{4,11,12},{4,10,5},{4,10,9},{6,4,51},
{2,13,22},{3,10,3},{3,9,26},{11,1,51},{3,9,26},{3,13,51},{3,13,51},{3,13,51},{3,10,51},{3,12,9},{3,11,2},{3,11,2},{3,9,2},{2,11,9},{3,9,10},{4,10,4},{4,10,4},{4,10,4},{4,9,5},{6,2,8},{3,11,1},{3,11,1},{3,9,1},{11,0,8},{3,9,1},{7,2,18},{3,13,1},{4,10,1},{3,10,2},{7,2,18},{11,2,18},{3,10,2},
{0,9,26},{11,2,18},{0,9,26},{3,0,50},{3,0,50},{3,0,50},{3,0,50},{3,11,1},{3,11,1},{3,11,1},{3,9,1},{2,10,0},{2,10,0},{4,17,54},{4,15,36},{4,13,54},{4,12,38},{4,15,52},{4,14,24},{4,12,3},{4,11,26},{2,15,53},{3,12,26},{5,14,22},{5,13,12},{5,12,5},{5,12,9},{8,2,51},{3,15,22},{4,12,3},{4,11,26},{12,3,51},
{4,11,26},{4,15,36},{4,15,36},{4,15,36},{4,12,37},{4,14,8},{4,12,2},{4,12,2},{4,11,1},{3,13,9},{3,11,14},{5,12,4},{5,12,4},{5,12,4},{5,11,5},{8,0,8},{4,12,2},{4,12,2},{4,11,1},{11,3,8},{4,11,1},{9,0,18},{4,15,0},{5,12,1},{4,12,2},{9,0,18},{15,0,18},{4,12,2},{0,11,26},{15,0,18},{0,11,26},{4,0,36},
{4,0,36},{4,0,36},{4,0,36},{4,12,1},{4,12,1},{4,12,1},{4,11,0},{3,12,0},{3,12,0},{5,19,54},{5,17,37},{5,15,54},{5,14,38},{5,17,52},{5,15,27},{5,14,3},{5,13,26},{3,17,52},{4,14,26},{6,15,24},{6,15,12},{6,14,5},{6,14,9},{10,1,51},{4,17,21},{5,14,3},{5,13,26},{17,0,51},{5,13,26},{5,17,36},{5,17,36},{5,17,36},
{5,14,37},{5,15,10},{5,14,2},{5,14,2},{5,13,1},{4,15,12},{4,13,11},{6,14,4},{6,14,4},{6,14,4},{6,13,5},{9,2,8},{5,14,2},{5,14,2},{5,13,1},{16,0,8},{5,13,1},{10,2,18},{5,17,1},{6,14,1},{5,14,2},{10,2,18},{16,2,18},{5,14,2},{0,13,26},{16,2,18},{0,13,26},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,14,1},
{5,14,1},{5,14,1},{5,13,0},{4,14,0},{4,14,0},{6,21,54},{6,19,37},{6,16,52},{6,16,36},{6,19,52},{6,17,21},{6,16,0},{6,15,26},{4,19,51},{5,15,36},{7,17,24},{7,17,9},{7,16,5},{7,16,13},{11,3,51},{6,17,21},{6,16,0},{6,15,26},{18,2,51},{6,15,26},{6,19,36},{6,19,36},{6,19,36},{6,16,36},{6,17,10},{6,16,0},{6,16,0},
{6,15,1},{5,16,11},{5,15,11},{7,15,5},{7,15,5},{7,15,5},{7,15,5},{11,1,8},{6,16,0},{6,16,0},{6,15,1},{17,2,8},{6,15,1},{11,4,18},{6,19,1},{7,16,1},{6,16,0},{11,4,18},{17,4,18},{6,16,0},{0,15,26},{17,4,18},{0,15,26},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,16,0},{6,16,0},{6,16,0},{6,15,0},{5,16,2},
{5,16,2},{7,23,70},{7,21,51},{8,18,69},{7,18,52},{7,22,52},{7,20,25},{7,18,4},{7,17,27},{5,21,53},{6,18,26},{8,20,22},{8,19,12},{8,18,5},{8,18,9},{13,2,51},{6,21,22},{7,18,3},{7,17,26},{21,2,51},{7,17,26},{7,21,51},{7,21,51},{7,21,51},{7,18,51},{7,20,9},{7,19,2},{7,19,2},{7,17,2},{6,19,9},{7,17,10},{8,18,4},
{8,18,4},{8,18,4},{8,17,5},{13,0,8},{7,19,1},{7,19,1},{7,17,1},{20,2,8},{7,17,1},{14,0,18},{7,21,1},{8,18,1},{7,18,2},{14,0,18},{20,4,18},{7,18,2},{0,17,26},{20,4,18},{0,17,26},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,19,1},{7,19,1},{7,19,1},{7,17,1},{6,18,0},{6,18,0},{8,25,54},{8,23,36},{8,21,54},
{8,20,38},{8,24,51},{8,22,24},{8,20,3},{8,19,26},{6,23,53},{7,20,26},{9,22,22},{9,21,12},{9,20,5},{9,20,9},{14,4,51},{7,23,22},{8,20,3},{8,19,26},{25,0,51},{8,19,26},{8,23,36},{8,23,36},{8,23,36},{8,20,37},{8,22,8},{8,20,2},{8,20,2},{8,19,1},{7,21,9},{7,19,14},{9,20,4},{9,20,4},{9,20,4},{9,19,5},{14,2,8},
{8,20,2},{8,20,2},{8,19,1},{24,0,8},{8,19,1},{15,2,18},{8,23,0},{9,20,1},{8,20,2},{15,2,18},{25,1,18},{8,20,2},{0,19,26},{25,1,18},{0,19,26},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,20,1},{8,20,1},{8,20,1},{8,19,0},{7,20,0},{7,20,0},{9,27,54},{9,25,36},{9,23,54},{9,22,38},{9,26,51},{9,24,24},{9,22,3},
{9,21,26},{7,25,53},{8,22,26},{10,24,22},{10,23,12},{10,22,5},{10,22,9},{16,2,51},{8,25,19},{9,22,3},{9,21,26},{27,1,51},{9,21,26},{9,25,36},{9,25,36},{9,25,36},{9,22,37},{9,24,8},{9,22,2},{9,22,2},{9,21,1},{8,23,12},{8,21,11},{10,22,4},{10,22,4},{10,22,4},{10,21,5},{16,0,8},{9,22,2},{9,22,2},{9,21,1},{26,1,8},
{9,21,1},{17,0,18},{9,25,0},{10,22,1},{9,22,2},{17,0,18},{26,3,18},{9,22,2},{0,21,26},{26,3,18},{0,21,26},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,22,1},{9,22,1},{9,22,1},{9,21,0},{8,22,0},{8,22,0},{10,29,54},{10,27,36},{10,25,54},{10,24,38},{10,28,51},{10,26,24},{10,24,3},{10,23,26},{8,27,52},{9,24,26},{11,26,22},
{11,25,12},{11,24,5},{11,24,9},{17,4,51},{9,27,19},{10,24,3},{10,23,26},{27,4,51},{10,23,26},{10,27,36},{10,27,36},{10,27,36},{10,24,37},{10,26,8},{10,24,2},{10,24,2},{10,23,1},{9,25,12},{9,23,11},{11,24,4},{11,24,4},{11,24,4},{11,23,5},{17,2,8},{10,24,2},{10,24,2},{10,23,1},{27,3,8},{10,23,1},{18,2,18},{10,27,0},{11,24,1},
{10,24,2},{18,2,18},{31,0,18},{10,24,2},{0,23,26},{31,0,18},{0,23,26},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,24,1},{10,24,1},{10,24,1},{10,23,0},{9,24,0},{9,24,0},{11,31,70},{11,29,52},{11,27,70},{11,27,54},{11,30,53},{11,28,20},{11,27,5},{11,26,25},{10,28,56},{10,26,22},{12,28,22},{12,27,9},{12,26,8},{12,26,9},{19,3,51},
{11,28,19},{11,27,4},{10,26,21},{30,4,51},{10,26,21},{11,30,50},{11,30,50},{11,30,50},{11,27,50},{11,28,11},{11,27,1},{11,27,1},{11,25,2},{10,27,11},{11,25,10},{12,26,4},{12,26,4},{12,26,4},{12,25,5},{19,1,8},{11,27,0},{11,27,0},{11,25,1},{29,4,8},{11,25,1},{20,1,18},{11,29,2},{12,26,4},{11,27,4},{20,1,18},{29,6,18},{11,27,4},
{0,26,20},{29,6,18},{0,26,20},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,27,1},{11,27,1},{11,27,1},{11,25,2},{10,26,2},{10,26,2},{12,33,54},{12,31,37},{12,29,56},{12,29,41},{12,32,51},{12,30,22},{12,29,5},{12,28,24},{11,30,56},{11,28,22},{13,30,22},{13,29,9},{13,28,8},{13,28,9},{20,5,51},{12,30,22},{12,29,5},{11,28,21},{31,6,51},
{11,28,21},{12,31,37},{12,31,37},{12,31,37},{12,29,37},{12,30,8},{12,29,1},{12,29,1},{12,27,0},{11,29,11},{12,27,9},{13,28,4},{13,28,4},{13,28,4},{13,27,5},{20,3,8},{12,29,1},{12,29,1},{12,27,0},{30,6,8},{12,27,0},{21,3,18},{12,31,1},{13,28,4},{13,28,5},{21,3,18},{30,8,18},{13,28,5},{0,28,20},{30,8,18},{0,28,20},{12,0,36},
{12,0,36},{12,0,36},{12,0,36},{12,29,0},{12,29,0},{12,29,0},{12,27,0},{11,28,2},{11,28,2},{13,35,54},{13,33,36},{13,31,56},{13,31,41},{13,34,51},{13,32,24},{13,31,5},{13,30,24},{11,33,53},{12,30,21},{14,32,22},{14,31,9},{14,30,8},{14,30,9},{23,0,51},{12,33,19},{13,31,5},{12,30,21},{31,9,51},{12,30,21},{13,33,36},{13,33,36},{13,33,36},
{13,31,37},{13,32,8},{13,31,1},{13,31,1},{13,29,0},{12,31,9},{13,29,9},{14,30,4},{14,30,4},{14,30,4},{14,29,5},{21,5,8},{13,31,1},{13,31,1},{13,29,0},{31,8,8},{13,29,0},{22,5,18},{13,33,0},{14,30,4},{14,30,5},{22,5,18},{31,10,18},{14,30,5},{0,30,20},{31,10,18},{0,30,20},{13,0,36},{13,0,36},{13,0,36},{13,0,36},{13,31,0},
{13,31,0},{13,31,0},{13,29,0},{12,30,1},{12,30,1},{14,37,54},{14,35,36},{14,33,54},{14,32,38},{14,36,51},{14,34,24},{14,32,3},{14,32,35},{12,35,52},{13,32,26},{15,34,22},{15,33,12},{15,32,5},{15,32,9},{24,2,51},{13,35,19},{14,32,3},{13,32,26},{27,17,51},{13,32,26},{14,35,36},{14,35,36},{14,35,36},{14,32,37},{14,34,8},{14,32,2},{14,32,2},
{14,31,0},{13,33,12},{14,31,9},{15,32,4},{15,32,4},{15,32,4},{15,31,5},{24,0,8},{14,32,2},{14,32,2},{14,31,0},{31,11,8},{14,31,0},{25,0,18},{14,35,0},{15,32,1},{14,32,2},{25,0,18},{31,13,18},{14,32,2},{0,32,26},{31,13,18},{0,32,26},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,32,1},{14,32,1},{14,32,1},{14,31,0},{13,32,0},
{13,32,0},{15,40,68},{15,37,52},{15,35,70},{15,35,54},{15,38,53},{15,36,20},{15,35,5},{15,34,25},{14,36,56},{14,34,22},{16,36,22},{16,35,9},{16,34,8},{16,34,9},{26,1,51},{15,36,19},{15,35,4},{14,34,21},{30,17,51},{14,34,21},{15,38,50},{15,38,50},{15,38,50},{15,35,50},{15,36,11},{15,35,1},{15,35,1},{15,33,2},{14,35,11},{15,33,10},{16,34,4},
{16,34,4},{16,34,4},{16,33,5},{24,6,8},{15,35,0},{15,35,0},{15,33,1},{29,17,8},{15,33,1},{25,6,18},{15,37,2},{16,34,4},{15,35,4},{25,6,18},{29,19,18},{15,35,4},{0,34,20},{29,19,18},{0,34,20},{15,0,50},{15,0,50},{15,0,50},{15,0,50},{15,35,1},{15,35,1},{15,35,1},{15,33,2},{14,34,2},{14,34,2},{16,41,56},{16,39,37},{16,37,56},
{16,37,41},{16,40,51},{16,38,22},{16,37,5},{16,36,24},{15,38,56},{15,36,22},{17,38,22},{17,37,9},{17,36,8},{17,36,9},{27,3,51},{16,38,22},{16,37,5},{15,36,21},{31,19,51},{15,36,21},{16,39,37},{16,39,37},{16,39,37},{16,37,37},{16,38,8},{16,37,1},{16,37,1},{16,35,0},{15,37,11},{16,35,9},{17,36,4},{17,36,4},{17,36,4},{17,35,5},{27,1,8},
{16,37,1},{16,37,1},{16,35,0},{30,19,8},{16,35,0},{28,1,18},{16,39,1},{17,36,4},{17,36,5},{28,1,18},{30,21,18},{17,36,5},{0,36,20},{30,21,18},{0,36,20},{16,0,36},{16,0,36},{16,0,36},{16,0,36},{16,37,0},{16,37,0},{16,37,0},{16,35,0},{15,36,2},{15,36,2},{17,43,56},{17,41,37},{17,39,56},{17,39,41},{17,42,51},{17,40,22},{17,39,5},
{17,38,24},{15,42,56},{16,38,21},{18,40,22},{18,39,9},{18,38,8},{18,38,9},{28,5,51},{17,40,22},{17,39,5},{16,38,21},{31,22,51},{16,38,21},{17,41,37},{17,41,37},{17,41,37},{17,39,37},{17,40,8},{17,39,1},{17,39,1},{17,37,0},{16,39,9},{17,37,9},{18,38,4},{18,38,4},{18,38,4},{18,37,5},{28,3,8},{17,39,1},{17,39,1},{17,37,0},{31,21,8},
{17,37,0},{29,3,18},{17,41,1},{18,38,4},{18,38,5},{29,3,18},{31,23,18},{18,38,5},{0,38,20},{31,23,18},{0,38,20},{17,0,36},{17,0,36},{17,0,36},{17,0,36},{17,39,0},{17,39,0},{17,39,0},{17,37,0},{16,38,1},{16,38,1},{18,45,56},{18,43,37},{18,41,56},{18,41,41},{18,44,51},{18,42,22},{18,41,5},{18,40,24},{16,43,53},{17,40,21},{19,42,22},
{19,41,9},{19,40,8},{19,40,9},{31,0,51},{18,42,22},{18,41,5},{17,40,21},{28,29,51},{17,40,21},{18,43,37},{18,43,37},{18,43,37},{18,41,37},{18,42,8},{18,41,1},{18,41,1},{18,39,0},{17,41,9},{18,39,9},{19,40,4},{19,40,4},{19,40,4},{19,39,5},{29,5,8},{18,41,1},{18,41,1},{18,39,0},{31,24,8},{18,39,0},{30,5,18},{18,43,1},{19,40,4},
{19,40,5},{30,5,18},{31,26,18},{19,40,5},{0,40,20},{31,26,18},{0,40,20},{18,0,36},{18,0,36},{18,0,36},{18,0,36},{18,41,0},{18,41,0},{18,41,0},{18,39,0},{17,40,1},{17,40,1},{19,48,68},{19,46,51},{20,43,70},{19,43,51},{19,47,52},{19,44,22},{19,43,3},{19,42,20},{17,46,51},{18,42,23},{20,44,24},{20,44,8},{20,43,6},{20,42,14},{31,6,51},
{19,44,21},{19,43,2},{19,42,19},{31,29,51},{19,42,19},{19,46,50},{19,46,50},{19,46,50},{19,43,50},{19,45,9},{19,43,2},{19,43,2},{19,41,3},{18,43,10},{19,41,6},{20,42,5},{20,42,5},{20,42,5},{20,42,5},{31,4,8},{19,43,1},{19,43,1},{19,41,2},{30,29,8},{19,41,2},{30,11,18},{19,46,1},{20,43,2},{19,43,1},{30,11,18},{30,31,18},{19,43,1},
{0,42,18},{30,31,18},{0,42,18},{19,0,50},{19,0,50},{19,0,50},{19,0,50},{19,43,2},{19,43,2},{19,43,2},{19,41,2},{18,43,1},{18,43,1},{20,49,56},{20,47,38},{20,45,53},{20,45,37},{20,48,51},{20,46,19},{20,45,1},{20,44,22},{18,48,56},{19,44,23},{21,46,24},{21,46,8},{21,45,6},{21,44,14},{30,15,51},{20,46,19},{20,45,1},{19,44,22},{31,32,51},
{19,44,22},{20,47,37},{20,47,37},{20,47,37},{20,45,36},{20,46,10},{20,45,0},{20,45,0},{20,43,2},{19,45,10},{20,43,11},{21,44,5},{21,44,5},{21,44,5},{21,44,5},{30,13,8},{20,45,0},{20,45,0},{20,43,2},{31,31,8},{20,43,2},{31,13,18},{20,47,2},{21,45,2},{20,45,1},{31,13,18},{30,34,18},{20,45,1},{0,44,18},{30,34,18},{0,44,18},{20,0,36},
{20,0,36},{20,0,36},{20,0,36},{20,45,0},{20,45,0},{20,45,0},{20,43,1},{19,45,1},{19,45,1},{21,51,56},{21,49,37},{21,47,53},{21,47,37},{21,50,51},{21,48,22},{21,47,1},{21,46,22},{19,50,56},{20,46,20},{22,48,22},{22,48,13},{22,47,6},{22,46,14},{30,20,51},{21,48,22},{21,47,1},{20,46,19},{31,35,51},{20,46,19},{21,49,37},{21,49,37},{21,49,37},
{21,47,36},{21,48,8},{21,47,0},{21,47,0},{21,45,2},{20,47,11},{21,45,11},{22,46,5},{22,46,5},{22,46,5},{22,46,5},{31,15,8},{21,47,0},{21,47,0},{21,45,2},{31,34,8},{21,45,2},{31,18,18},{21,49,1},{22,47,2},{21,47,1},{31,18,18},{31,36,18},{21,47,1},{0,46,18},{31,36,18},{0,46,18},{21,0,36},{21,0,36},{21,0,36},{21,0,36},{21,47,0},
{21,47,0},{21,47,0},{21,45,1},{20,46,2},{20,46,2},{22,53,56},{22,51,37},{22,49,56},{22,49,41},{22,52,51},{22,50,22},{22,49,5},{22,48,24},{20,51,53},{21,48,21},{23,50,22},{23,49,9},{23,48,8},{23,48,9},{31,22,51},{22,50,22},{22,49,5},{21,48,21},{28,42,51},{21,48,21},{22,51,37},{22,51,37},{22,51,37},{22,49,37},{22,50,8},{22,49,1},{22,49,1},
{22,47,2},{21,49,9},{22,47,11},{23,48,4},{23,48,4},{23,48,4},{23,48,5},{31,20,8},{22,49,1},{22,49,1},{22,47,2},{31,37,8},{22,47,2},{31,23,18},{22,51,1},{23,48,4},{23,48,5},{31,23,18},{31,39,18},{23,48,5},{0,48,20},{31,39,18},{0,48,20},{22,0,36},{22,0,36},{22,0,36},{22,0,36},{22,49,0},{22,49,0},{22,49,0},{22,47,1},{21,48,1},
{21,48,1},{23,56,68},{23,54,51},{24,51,70},{23,51,51},{23,55,52},{23,52,22},{23,51,3},{23,50,20},{21,54,51},{22,50,23},{24,52,24},{24,52,8},{24,51,6},{24,50,14},{31,28,51},{23,52,21},{23,51,2},{23,50,19},{31,42,51},{23,50,19},{23,54,50},{23,54,50},{23,54,50},{23,51,50},{23,53,9},{23,51,2},{23,51,2},{23,49,3},{22,51,10},{23,49,6},{24,50,5},
{24,50,5},{24,50,5},{24,50,5},{31,26,8},{23,51,1},{23,51,1},{23,49,2},{30,42,8},{23,49,2},{31,29,18},{23,54,1},{24,51,2},{23,51,1},{31,29,18},{30,44,18},{23,51,1},{0,50,18},{30,44,18},{0,50,18},{23,0,50},{23,0,50},{23,0,50},{23,0,50},{23,51,2},{23,51,2},{23,51,2},{23,49,2},{22,51,1},{22,51,1},{24,58,54},{24,55,38},{24,53,53},
{24,53,37},{24,56,52},{24,54,19},{24,53,1},{24,52,22},{22,56,51},{23,52,23},{25,54,24},{25,54,8},{25,53,6},{25,52,14},{31,33,51},{24,54,19},{24,53,1},{23,52,22},{31,45,51},{23,52,22},{24,56,36},{24,56,36},{24,56,36},{24,53,36},{24,54,10},{24,53,0},{24,53,0},{24,51,2},{23,53,10},{24,51,11},{25,52,5},{25,52,5},{25,52,5},{25,52,5},{31,31,8},
{24,53,0},{24,53,0},{24,51,2},{31,44,8},{24,51,2},{31,34,18},{24,55,2},{25,53,2},{24,53,1},{31,34,18},{31,46,18},{24,53,1},{0,52,18},{31,46,18},{0,52,18},{24,0,36},{24,0,36},{24,0,36},{24,0,36},{24,53,0},{24,53,0},{24,53,0},{24,51,1},{23,53,1},{23,53,1},{25,60,54},{25,57,38},{25,55,53},{25,55,37},{25,58,52},{25,56,19},{25,55,1},
{25,54,22},{23,58,51},{24,54,20},{26,56,24},{26,56,8},{26,55,6},{26,54,14},{31,38,51},{25,56,19},{25,55,1},{24,54,19},{31,48,51},{24,54,19},{25,58,36},{25,58,36},{25,58,36},{25,55,36},{25,56,10},{25,55,0},{25,55,0},{25,53,2},{24,55,11},{25,53,11},{26,54,5},{26,54,5},{26,54,5},{26,54,5},{31,36,8},{25,55,0},{25,55,0},{25,53,2},{31,47,8},
{25,53,2},{30,43,18},{25,57,2},{26,55,2},{25,55,1},{30,43,18},{30,50,18},{25,55,1},{0,54,18},{30,50,18},{0,54,18},{25,0,36},{25,0,36},{25,0,36},{25,0,36},{25,55,0},{25,55,0},{25,55,0},{25,53,1},{24,54,2},{24,54,2},{26,62,54},{26,59,38},{26,57,53},{26,57,37},{26,60,52},{26,58,19},{26,57,1},{26,56,22},{25,58,56},{25,56,20},{27,58,24},
{27,58,8},{27,57,6},{27,56,14},{30,47,51},{26,58,19},{26,57,1},{25,56,19},{31,51,51},{25,56,19},{26,60,36},{26,60,36},{26,60,36},{26,57,36},{26,58,10},{26,57,0},{26,57,0},{26,55,2},{25,57,11},{26,55,11},{27,56,5},{27,56,5},{27,56,5},{27,56,5},{30,45,8},{26,57,0},{26,57,0},{26,55,2},{31,50,8},{26,55,2},{31,45,18},{26,59,2},{27,57,2},
{26,57,1},{31,45,18},{31,52,18},{26,57,1},{0,56,18},{31,52,18},{0,56,18},{26,0,36},{26,0,36},{26,0,36},{26,0,36},{26,57,0},{26,57,0},{26,57,0},{26,55,1},{25,56,2},{25,56,2},{27,63,76},{27,62,52},{28,59,69},{27,59,51},{27,63,52},{27,60,21},{27,59,3},{27,58,22},{25,62,52},{26,58,28},{28,60,24},{28,60,9},{28,59,5},{28,59,13},{31,49,51},
{27,60,20},{27,59,2},{27,58,21},{30,56,51},{27,58,21},{27,62,51},{27,62,51},{27,62,51},{27,59,51},{27,61,9},{27,59,3},{27,59,3},{27,58,6},{26,60,11},{27,57,12},{28,58,5},{28,58,5},{28,58,5},{28,58,4},{29,54,8},{27,59,2},{27,59,2},{27,58,5},{29,56,8},{27,58,5},{30,54,18},{27,62,2},{28,59,1},{27,59,1},{30,54,18},{29,58,18},{27,59,1},
{0,58,20},{29,58,18},{0,58,20},{27,0,50},{27,0,50},{27,0,50},{27,0,50},{27,60,1},{27,60,1},{27,60,1},{27,58,2},{26,59,0},{26,59,0},{28,63,86},{28,63,38},{28,61,52},{28,61,36},{28,63,59},{28,62,21},{28,61,0},{28,60,21},{27,62,60},{27,60,28},{29,62,24},{29,62,9},{29,61,5},{29,61,13},{30,58,51},{28,62,21},{28,61,0},{28,60,21},{31,58,51},
{28,60,21},{28,63,37},{28,63,37},{28,63,37},{28,61,36},{28,62,10},{28,61,0},{28,61,0},{28,59,5},{27,62,11},{27,60,12},{29,60,5},{29,60,5},{29,60,5},{29,60,4},{30,56,8},{28,61,0},{28,61,0},{28,59,5},{30,58,8},{28,59,5},{31,56,18},{28,63,2},{29,61,1},{28,61,0},{31,56,18},{30,60,18},{28,61,0},{0,60,20},{30,60,18},{0,60,20},{28,0,36},
{28,0,36},{28,0,36},{28,0,36},{28,61,0},{28,61,0},{28,61,0},{28,59,1},{27,61,0},{27,61,0},{30,63,94},{30,63,78},{29,63,52},{29,63,36},{30,63,115},{29,63,36},{29,63,0},{29,62,21},{29,63,88},{28,62,25},{30,63,30},{30,63,14},{30,63,5},{30,63,13},{31,60,51},{29,63,36},{29,63,0},{29,62,21},{31,61,51},{29,62,21},{29,63,52},{29,63,52},{29,63,52},
{29,63,36},{29,63,16},{29,63,0},{29,63,0},{29,61,5},{28,63,11},{28,62,9},{30,62,5},{30,62,5},{30,62,5},{30,62,4},{31,58,8},{29,63,0},{29,63,0},{29,61,5},{31,60,8},{29,61,5},{31,61,18},{30,63,10},{30,63,1},{29,63,0},{31,61,18},{31,62,18},{29,63,0},{0,62,20},{31,62,18},{0,62,20},{29,0,36},{29,0,36},{29,0,36},{29,0,36},{29,63,0},
{29,63,0},{29,63,0},{29,61,1},{28,63,2},{28,63,2},{31,63,68},{31,63,68},{30,63,61},{30,63,45},{30,63,59},{30,63,27},{30,63,18},{30,63,1},{30,63,28},{30,63,10},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{30,63,1},{31,63,4},{30,63,1},{30,63,61},{30,63,61},{30,63,61},{30,63,45},{30,63,34},{30,63,18},{30,63,18},
{30,63,1},{30,63,19},{30,63,10},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,62,4},{31,63,4},{31,63,4},{30,63,1},{31,63,4},{30,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{30,0,36},{30,0,36},{30,0,36},{30,0,36},{30,63,9},{30,63,9},{30,63,9},{30,63,1},{30,63,10},
{30,63,10},{0,7,74},{0,6,20},{0,4,2},{0,4,26},{0,5,153},{0,4,110},{0,3,45},{0,2,115},{0,3,169},{0,2,124},{0,7,74},{0,6,20},{0,4,2},{0,4,26},{0,5,153},{0,4,110},{0,3,45},{0,2,115},{0,3,153},{0,2,115},{0,3,1},{0,3,1},{0,3,1},{0,2,0},{0,2,13},{0,2,9},{0,2,9},{0,1,5},{0,1,14},{0,1,6},{0,3,1},
{0,3,1},{0,3,1},{0,2,0},{0,2,13},{0,2,9},{0,2,9},{0,1,5},{1,0,13},{0,1,5},{2,1,72},{0,6,20},{0,4,2},{0,4,26},{2,1,72},{3,1,72},{0,4,26},{0,3,74},{3,1,72},{0,3,74},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,13,81},{0,10,13},{0,6,26},
{0,6,14},{0,9,244},{0,7,129},{0,6,41},{0,4,139},{0,5,300},{0,4,175},{0,13,81},{0,10,13},{0,6,26},{0,6,14},{2,3,243},{0,7,129},{0,6,41},{0,4,139},{4,1,243},{0,4,139},{0,9,9},{0,9,9},{0,9,9},{0,5,10},{0,5,52},{0,5,17},{0,5,17},{0,3,17},{0,3,68},{0,3,33},{0,9,9},{0,9,9},{0,9,9},{0,5,10},{1,2,50},
{0,5,17},{0,5,17},{0,3,17},{2,1,50},{0,3,17},{3,3,72},{0,10,4},{1,6,2},{0,6,5},{3,3,72},{4,3,72},{0,6,5},{0,5,74},{4,3,72},{0,5,74},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,2},{0,1,2},{1,15,145},{1,12,77},{1,8,90},{1,8,78},{0,15,243},{0,10,96},{0,8,3},
{0,6,106},{0,8,395},{0,6,187},{1,15,81},{1,12,13},{1,8,26},{1,8,14},{4,1,243},{0,10,96},{0,8,3},{0,6,106},{5,3,243},{0,6,106},{1,11,73},{1,11,73},{1,11,73},{1,7,74},{0,11,50},{0,8,2},{0,8,2},{0,5,2},{0,5,131},{0,5,51},{1,11,9},{1,11,9},{1,11,9},{1,7,10},{3,1,50},{0,8,2},{0,8,2},{0,5,2},{3,3,50},
{0,5,2},{5,1,72},{1,12,4},{2,8,2},{0,8,2},{5,1,72},{9,0,72},{0,8,2},{0,7,74},{9,0,72},{0,7,74},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,7,1},{0,7,1},{0,7,1},{0,4,1},{0,3,32},{0,3,32},{2,17,162},{2,14,94},{2,10,107},{2,10,95},{1,17,244},{1,12,97},{1,10,4},{1,8,107},{0,11,345},{0,8,116},{2,17,81},
{2,14,13},{2,10,26},{2,10,14},{6,0,243},{0,14,76},{1,10,3},{0,9,83},{10,0,243},{0,9,83},{2,13,90},{2,13,90},{2,13,90},{2,9,91},{1,13,51},{1,10,3},{1,10,3},{1,7,3},{0,9,94},{0,7,14},{2,13,9},{2,13,9},{2,13,9},{2,9,10},{3,6,50},{1,10,2},{1,10,2},{1,7,2},{8,0,50},{1,7,2},{7,0,72},{2,14,4},{3,10,2},
{1,10,2},{7,0,72},{10,2,72},{1,10,2},{0,9,74},{10,2,72},{0,9,74},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{1,9,2},{1,9,2},{1,9,2},{1,6,2},{0,7,13},{0,7,13},{3,19,154},{3,16,82},{3,13,100},{3,12,85},{2,19,244},{2,15,90},{2,13,5},{2,11,97},{0,15,287},{0,11,73},{3,19,90},{3,16,18},{4,12,29},{3,12,21},{6,6,243},
{1,16,75},{2,13,5},{0,11,73},{12,1,243},{0,11,73},{3,15,81},{3,15,81},{3,15,81},{3,12,81},{2,15,52},{2,13,1},{2,13,1},{2,9,4},{0,13,61},{0,10,14},{3,15,17},{3,15,17},{3,15,17},{3,12,17},{6,2,50},{2,13,1},{2,13,1},{2,9,4},{11,0,50},{2,9,4},{8,2,72},{3,16,2},{4,12,4},{2,13,4},{8,2,72},{12,3,72},{2,13,4},
{0,11,72},{12,3,72},{0,11,72},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{2,12,0},{2,12,0},{2,12,0},{2,9,0},{0,11,1},{0,11,1},{4,21,162},{4,18,94},{4,15,103},{4,14,95},{3,21,244},{3,17,88},{3,15,5},{3,13,97},{0,18,260},{1,13,73},{4,21,81},{4,18,13},{4,15,22},{4,14,14},{9,1,243},{2,18,75},{3,15,5},{1,13,73},{13,3,243},
{1,13,73},{4,17,90},{4,17,90},{4,17,90},{4,14,91},{3,17,52},{3,15,1},{3,15,1},{3,11,4},{0,16,52},{1,12,14},{4,17,9},{4,17,9},{4,17,9},{4,14,10},{8,0,50},{3,15,1},{3,15,1},{3,11,4},{11,3,50},{3,11,4},{10,1,72},{3,20,2},{5,14,4},{3,15,4},{10,1,72},{17,0,72},{3,15,4},{0,13,72},{17,0,72},{0,13,72},{4,0,90},
{4,0,90},{4,0,90},{4,0,90},{3,14,0},{3,14,0},{3,14,0},{3,11,0},{1,13,1},{1,13,1},{5,23,162},{5,20,94},{5,16,107},{5,16,95},{4,23,244},{4,18,97},{4,16,4},{4,15,98},{0,22,244},{2,15,73},{5,23,81},{5,20,13},{5,16,26},{5,16,14},{10,3,243},{3,20,75},{4,16,3},{2,15,73},{18,0,243},{2,15,73},{5,19,90},{5,19,90},{5,19,90},
{5,15,94},{4,19,51},{4,16,3},{4,16,3},{4,13,5},{1,18,52},{2,14,14},{5,19,9},{5,19,9},{5,19,9},{5,15,13},{9,2,50},{4,16,2},{4,16,2},{4,13,4},{16,0,50},{4,13,4},{11,3,72},{5,20,4},{6,16,2},{4,16,2},{11,3,72},{18,2,72},{4,16,2},{0,15,72},{18,2,72},{0,15,72},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,15,2},
{4,15,2},{4,15,2},{4,13,1},{2,15,1},{2,15,1},{6,25,162},{6,22,94},{6,18,107},{6,18,95},{5,25,244},{5,20,97},{5,18,4},{5,16,107},{1,24,244},{3,17,74},{6,25,81},{6,22,13},{6,18,26},{6,18,14},{12,1,243},{3,24,75},{5,18,3},{3,17,74},{19,2,243},{3,17,74},{6,21,90},{6,21,90},{6,21,90},{6,17,91},{5,21,51},{5,18,3},{5,18,3},
{5,15,5},{2,20,52},{3,16,19},{6,21,9},{6,21,9},{6,21,9},{6,17,10},{11,1,50},{5,18,2},{5,18,2},{5,15,4},{17,2,50},{5,15,4},{13,1,72},{6,22,4},{7,18,2},{5,18,2},{13,1,72},{19,4,72},{5,18,2},{0,17,74},{19,4,72},{0,17,74},{6,0,90},{6,0,90},{6,0,90},{6,0,90},{5,17,2},{5,17,2},{5,17,2},{5,15,1},{3,17,0},
{3,17,0},{7,27,154},{7,24,82},{7,21,100},{7,20,85},{6,27,244},{6,23,90},{6,21,5},{6,19,97},{2,26,244},{4,19,73},{7,27,90},{7,24,18},{8,20,29},{7,20,21},{13,4,243},{5,24,75},{6,21,5},{4,19,73},{22,2,243},{4,19,73},{7,23,81},{7,23,81},{7,23,81},{7,20,81},{6,23,52},{6,21,1},{6,21,1},{6,17,4},{3,23,52},{4,18,14},{7,23,17},
{7,23,17},{7,23,17},{7,20,17},{13,0,50},{6,21,1},{6,21,1},{6,17,4},{20,2,50},{6,17,4},{14,4,72},{7,24,2},{8,20,4},{6,21,4},{14,4,72},{25,0,72},{6,21,4},{0,19,72},{25,0,72},{0,19,72},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{6,20,0},{6,20,0},{6,20,0},{6,17,0},{4,19,1},{4,19,1},{8,29,162},{8,26,92},{8,23,103},
{8,22,95},{7,29,244},{7,25,90},{7,23,5},{7,21,97},{3,28,244},{5,21,73},{8,29,81},{8,26,11},{8,23,22},{8,22,14},{14,6,243},{6,26,75},{7,23,5},{5,21,73},{26,0,243},{5,21,73},{8,25,90},{8,25,90},{8,25,90},{8,22,91},{7,25,52},{7,23,1},{7,23,1},{7,19,4},{4,24,52},{5,20,14},{8,25,9},{8,25,9},{8,25,9},{8,22,10},{14,2,50},
{7,23,1},{7,23,1},{7,19,4},{24,0,50},{7,19,4},{16,2,72},{8,26,2},{9,22,4},{7,23,4},{16,2,72},{27,1,72},{7,23,4},{0,21,72},{27,1,72},{0,21,72},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{7,22,0},{7,22,0},{7,22,0},{7,19,0},{5,21,1},{5,21,1},{9,31,162},{9,28,92},{9,25,103},{9,24,95},{8,31,244},{8,26,100},{8,24,9},
{8,23,98},{4,30,244},{6,23,73},{9,31,81},{9,28,11},{9,25,22},{9,24,14},{16,4,243},{7,28,75},{8,24,8},{6,23,73},{27,2,243},{6,23,73},{9,27,90},{9,27,90},{9,27,90},{9,24,91},{8,27,51},{8,24,5},{8,24,5},{8,21,5},{5,26,52},{6,22,14},{9,27,9},{9,27,9},{9,27,9},{9,24,10},{16,0,50},{8,24,4},{8,24,4},{8,21,4},{26,1,50},
{8,21,4},{17,4,72},{9,28,2},{10,24,4},{8,25,4},{17,4,72},{27,4,72},{8,25,4},{0,23,72},{27,4,72},{0,23,72},{9,0,90},{9,0,90},{9,0,90},{9,0,90},{8,24,1},{8,24,1},{8,24,1},{8,21,1},{6,23,1},{6,23,1},{10,33,162},{10,30,92},{10,27,103},{10,26,95},{9,33,244},{9,28,100},{9,26,9},{9,25,98},{5,32,244},{7,25,73},{10,33,81},
{10,30,11},{10,27,22},{10,26,14},{17,6,243},{8,30,75},{9,26,8},{7,25,73},{28,4,243},{7,25,73},{10,29,90},{10,29,90},{10,29,90},{10,26,91},{9,29,51},{9,26,5},{9,26,5},{9,23,5},{6,28,52},{7,24,14},{10,29,9},{10,29,9},{10,29,9},{10,26,10},{17,2,50},{9,26,4},{9,26,4},{9,23,4},{27,3,50},{9,23,4},{18,6,72},{10,30,2},{11,26,4},
{9,27,4},{18,6,72},{28,6,72},{9,27,4},{0,25,72},{28,6,72},{0,25,72},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,26,1},{9,26,1},{9,26,1},{9,23,1},{7,25,1},{7,25,1},{11,35,154},{11,32,82},{11,29,97},{11,29,85},{10,35,244},{10,31,96},{10,29,3},{10,27,90},{6,34,244},{8,27,78},{11,35,90},{11,32,18},{12,29,27},{11,29,21},{19,5,243},
{9,32,75},{10,29,3},{9,27,75},{31,4,243},{9,27,75},{11,31,81},{11,31,81},{11,31,81},{11,28,80},{10,31,52},{10,29,2},{10,29,2},{10,26,5},{7,31,50},{9,26,11},{11,31,17},{11,31,17},{11,31,17},{11,28,16},{19,1,50},{10,29,2},{10,29,2},{9,26,2},{29,4,50},{9,26,2},{20,5,72},{11,32,2},{12,29,2},{10,29,2},{20,5,72},{31,6,72},{10,29,2},
{0,27,74},{31,6,72},{0,27,74},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,28,1},{10,28,1},{10,28,1},{10,25,1},{8,28,2},{8,28,2},{12,37,162},{12,34,92},{12,31,107},{12,30,99},{11,37,244},{11,33,90},{11,31,3},{11,29,90},{7,36,244},{9,29,78},{12,37,81},{12,34,11},{12,31,26},{12,30,18},{22,0,243},{10,34,75},{11,31,3},{10,29,75},{31,7,243},
{10,29,75},{12,33,90},{12,33,90},{12,33,90},{12,30,90},{11,33,52},{11,31,2},{11,31,2},{11,28,5},{8,32,52},{10,28,11},{12,33,9},{12,33,9},{12,33,9},{12,30,9},{20,3,50},{11,31,2},{11,31,2},{10,28,2},{30,6,50},{10,28,2},{23,0,72},{12,34,2},{13,31,2},{11,31,2},{23,0,72},{31,9,72},{11,31,2},{0,29,74},{31,9,72},{0,29,74},{12,0,90},
{12,0,90},{12,0,90},{12,0,90},{11,30,1},{11,30,1},{11,30,1},{11,27,1},{9,30,2},{9,30,2},{13,39,162},{13,36,92},{13,33,103},{13,32,95},{12,39,244},{12,34,100},{12,32,9},{12,31,100},{8,38,244},{10,31,78},{13,39,81},{13,36,11},{13,33,22},{13,32,14},{23,2,243},{11,36,75},{12,32,8},{11,31,75},{28,14,243},{11,31,75},{13,35,90},{13,35,90},{13,35,90},
{13,32,91},{12,35,51},{12,32,5},{12,32,5},{12,30,6},{9,34,52},{11,30,11},{13,35,9},{13,35,9},{13,35,9},{13,32,10},{21,5,50},{12,32,4},{12,32,4},{11,30,2},{31,8,50},{11,30,2},{24,2,72},{13,36,2},{14,32,4},{12,33,4},{24,2,72},{27,17,72},{12,33,4},{0,31,74},{27,17,72},{0,31,74},{13,0,90},{13,0,90},{13,0,90},{13,0,90},{12,32,1},
{12,32,1},{12,32,1},{12,29,1},{10,31,4},{10,31,4},{14,41,162},{14,38,92},{14,35,103},{14,34,95},{13,41,244},{13,36,100},{13,34,9},{13,33,98},{9,40,244},{11,33,73},{14,41,81},{14,38,11},{14,35,22},{14,34,14},{24,4,243},{12,38,75},{13,34,8},{11,33,73},{28,17,243},{11,33,73},{14,37,90},{14,37,90},{14,37,90},{14,34,91},{13,37,51},{13,34,5},{13,34,5},
{13,31,10},{10,36,52},{11,32,14},{14,37,9},{14,37,9},{14,37,9},{14,34,10},{24,0,50},{13,34,4},{13,34,4},{12,32,4},{31,11,50},{12,32,4},{25,4,72},{14,38,2},{15,34,4},{13,35,4},{25,4,72},{28,19,72},{13,35,4},{0,33,72},{28,19,72},{0,33,72},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{13,34,1},{13,34,1},{13,34,1},{13,31,1},{11,33,1},
{11,33,1},{15,44,152},{15,40,84},{15,37,97},{15,37,85},{14,44,243},{14,39,96},{14,37,3},{14,35,90},{10,42,244},{12,35,78},{15,44,88},{15,40,20},{16,37,27},{15,37,21},{27,0,243},{13,41,76},{14,37,3},{13,35,75},{31,17,243},{13,35,75},{15,40,80},{15,40,80},{15,40,80},{15,36,80},{14,40,50},{14,37,2},{14,37,2},{14,34,5},{11,39,50},{13,34,11},{15,40,16},
{15,40,16},{15,40,16},{15,36,16},{24,6,50},{14,37,2},{14,37,2},{13,34,2},{29,17,50},{13,34,2},{27,3,72},{15,40,4},{16,37,2},{14,37,2},{27,3,72},{31,19,72},{14,37,2},{0,35,74},{31,19,72},{0,35,74},{15,0,80},{15,0,80},{15,0,80},{15,0,80},{14,36,1},{14,36,1},{14,36,1},{14,33,1},{12,36,2},{12,36,2},{16,45,164},{16,42,95},{16,39,107},
{16,38,99},{15,46,243},{15,41,96},{15,39,3},{15,37,90},{11,44,244},{13,37,78},{16,45,83},{16,42,14},{16,39,26},{16,38,18},{27,5,243},{14,43,76},{15,39,3},{14,37,75},{31,20,243},{14,37,75},{16,41,91},{16,41,91},{16,41,91},{16,38,90},{15,42,50},{15,39,2},{15,39,2},{15,36,5},{12,41,51},{14,36,11},{16,41,10},{16,41,10},{16,41,10},{16,38,9},{27,1,50},
{15,39,2},{15,39,2},{14,36,2},{30,19,50},{14,36,2},{28,5,72},{15,44,4},{17,39,2},{15,39,2},{28,5,72},{31,22,72},{15,39,2},{0,37,74},{31,22,72},{0,37,74},{16,0,90},{16,0,90},{16,0,90},{16,0,90},{15,38,1},{15,38,1},{15,38,1},{15,35,1},{13,38,2},{13,38,2},{17,47,164},{17,44,95},{17,41,107},{17,40,99},{16,47,245},{16,43,91},{16,41,3},
{16,39,100},{12,46,244},{14,39,78},{17,47,83},{17,44,14},{17,41,26},{17,40,18},{30,0,243},{15,45,76},{16,41,2},{15,39,75},{28,27,243},{15,39,75},{17,43,91},{17,43,91},{17,43,91},{17,40,90},{16,43,53},{16,41,2},{16,41,2},{16,38,6},{13,43,51},{15,38,11},{17,43,10},{17,43,10},{17,43,10},{17,40,9},{28,3,50},{16,41,1},{16,41,1},{15,38,2},{31,21,50},
{15,38,2},{31,0,72},{16,46,1},{18,41,2},{16,41,1},{31,0,72},{28,29,72},{16,41,1},{0,39,74},{28,29,72},{0,39,74},{17,0,90},{17,0,90},{17,0,90},{17,0,90},{16,40,1},{16,40,1},{16,40,1},{16,37,1},{14,40,2},{14,40,2},{18,49,162},{18,46,95},{18,43,107},{18,42,99},{17,49,244},{17,45,91},{17,43,3},{17,41,100},{13,48,244},{15,41,78},{18,49,81},
{18,46,14},{18,43,26},{18,42,18},{31,2,243},{15,48,75},{17,43,2},{15,41,78},{29,29,243},{15,41,78},{18,45,91},{18,45,91},{18,45,91},{18,42,90},{17,45,53},{17,43,2},{17,43,2},{17,40,6},{14,45,51},{16,40,18},{18,45,10},{18,45,10},{18,45,10},{18,42,9},{29,5,50},{17,43,1},{17,43,1},{16,40,2},{31,24,50},{16,40,2},{30,9,72},{17,48,2},{19,43,2},
{17,43,1},{30,9,72},{29,31,72},{17,43,1},{0,41,74},{29,31,72},{0,41,74},{18,0,90},{18,0,90},{18,0,90},{18,0,90},{17,42,1},{17,42,1},{17,42,1},{17,39,1},{15,42,2},{15,42,2},{19,52,152},{19,48,84},{19,45,105},{19,45,84},{18,52,243},{18,47,89},{18,45,1},{18,43,96},{14,50,244},{16,44,81},{19,52,88},{19,48,20},{20,45,26},{19,45,20},{31,8,243},
{17,49,76},{18,45,1},{16,44,80},{31,30,243},{16,44,80},{19,48,80},{19,48,80},{19,48,80},{19,44,81},{18,48,50},{18,45,1},{18,45,1},{18,42,1},{15,47,52},{17,42,13},{19,48,16},{19,48,16},{19,48,16},{19,44,17},{31,4,50},{18,45,1},{18,45,1},{18,42,1},{30,29,50},{18,42,1},{30,15,72},{19,48,4},{20,45,1},{18,45,1},{30,15,72},{31,32,72},{18,45,1},
{0,43,80},{31,32,72},{0,43,80},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,45,0},{18,45,0},{18,45,0},{18,41,1},{16,44,1},{16,44,1},{20,53,164},{20,50,95},{20,47,106},{20,47,94},{19,54,243},{19,49,96},{19,47,1},{19,45,96},{15,52,244},{17,46,81},{20,53,83},{20,50,14},{20,47,25},{20,47,13},{29,20,243},{18,51,76},{19,47,1},{17,46,80},{31,33,243},
{17,46,80},{20,49,91},{20,49,91},{20,49,91},{20,46,90},{19,50,50},{19,47,1},{19,47,1},{19,44,1},{16,49,51},{18,44,13},{20,49,10},{20,49,10},{20,49,10},{20,46,9},{30,13,50},{19,47,1},{19,47,1},{19,44,1},{31,31,50},{19,44,1},{30,20,72},{19,52,4},{21,47,1},{19,47,1},{30,20,72},{31,35,72},{19,47,1},{0,45,80},{31,35,72},{0,45,80},{20,0,90},
{20,0,90},{20,0,90},{20,0,90},{19,47,0},{19,47,0},{19,47,0},{19,43,1},{17,46,1},{17,46,1},{21,55,164},{21,52,95},{21,49,107},{21,48,99},{20,55,245},{20,51,91},{20,49,3},{20,47,97},{16,54,244},{18,47,85},{21,55,83},{21,52,14},{21,49,26},{21,48,18},{30,22,243},{19,53,76},{20,49,2},{19,47,81},{28,40,243},{19,47,81},{21,51,91},{21,51,91},{21,51,91},
{21,48,90},{20,51,53},{20,49,2},{20,49,2},{20,46,5},{17,51,51},{19,46,13},{21,51,10},{21,51,10},{21,51,10},{21,48,9},{31,15,50},{20,49,1},{20,49,1},{19,46,4},{31,34,50},{19,46,4},{31,22,72},{20,54,1},{22,49,2},{20,49,1},{31,22,72},{28,42,72},{20,49,1},{0,47,80},{28,42,72},{0,47,80},{21,0,90},{21,0,90},{21,0,90},{21,0,90},{20,48,1},
{20,48,1},{20,48,1},{20,45,2},{18,48,2},{18,48,2},{22,57,164},{22,54,95},{22,51,107},{22,50,99},{21,57,245},{21,53,91},{21,51,3},{21,49,100},{17,56,244},{19,49,78},{22,57,83},{22,54,14},{22,51,26},{22,50,18},{31,24,243},{19,56,76},{21,51,2},{19,49,78},{29,42,243},{19,49,78},{22,53,91},{22,53,91},{22,53,91},{22,50,90},{21,53,53},{21,51,2},{21,51,2},
{21,48,6},{18,53,51},{20,48,18},{22,53,10},{22,53,10},{22,53,10},{22,50,9},{31,20,50},{21,51,1},{21,51,1},{20,48,2},{31,37,50},{20,48,2},{31,27,72},{21,56,1},{23,51,2},{21,51,1},{31,27,72},{29,44,72},{21,51,1},{0,49,74},{29,44,72},{0,49,74},{22,0,90},{22,0,90},{22,0,90},{22,0,90},{21,50,1},{21,50,1},{21,50,1},{21,47,2},{19,50,2},
{19,50,2},{23,60,152},{23,57,81},{23,53,105},{23,53,84},{22,60,243},{22,55,89},{22,53,1},{22,51,96},{18,59,244},{20,52,81},{23,60,88},{23,57,17},{24,53,26},{23,53,20},{31,30,243},{21,57,73},{22,53,1},{20,52,80},{31,43,243},{20,52,80},{23,56,80},{23,56,80},{23,56,80},{23,52,81},{22,56,50},{22,53,1},{22,53,1},{22,50,1},{19,55,52},{21,50,13},{23,56,16},
{23,56,16},{23,56,16},{23,52,17},{31,26,50},{22,53,1},{22,53,1},{22,50,1},{30,42,50},{22,50,1},{31,33,72},{23,57,1},{24,53,1},{22,53,1},{31,33,72},{31,45,72},{22,53,1},{0,51,80},{31,45,72},{0,51,80},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{22,53,0},{22,53,0},{22,53,0},{22,49,1},{20,52,1},{20,52,1},{24,62,162},{24,58,94},{24,55,106},
{24,55,94},{23,62,243},{23,57,89},{23,55,1},{23,53,96},{19,61,244},{21,54,81},{24,62,81},{24,58,13},{24,55,25},{24,55,13},{31,35,243},{22,59,73},{23,55,1},{21,54,80},{27,51,243},{21,54,80},{24,58,90},{24,58,90},{24,58,90},{24,54,90},{23,58,50},{23,55,1},{23,55,1},{23,52,1},{20,57,50},{22,52,13},{24,58,9},{24,58,9},{24,58,9},{24,54,9},{31,31,50},
{23,55,1},{23,55,1},{23,52,1},{31,44,50},{23,52,1},{31,38,72},{24,58,4},{25,55,1},{23,55,1},{31,38,72},{31,48,72},{23,55,1},{0,53,80},{31,48,72},{0,53,80},{24,0,90},{24,0,90},{24,0,90},{24,0,90},{23,55,0},{23,55,0},{23,55,0},{23,51,1},{21,54,1},{21,54,1},{25,63,164},{25,60,94},{25,57,106},{25,57,94},{24,63,245},{24,59,97},{24,57,3},
{24,55,97},{20,63,249},{22,56,81},{25,63,83},{25,60,13},{25,57,25},{25,57,13},{31,40,243},{23,61,73},{24,57,2},{22,56,80},{31,49,243},{22,56,80},{25,60,90},{25,60,90},{25,60,90},{25,56,90},{24,60,51},{24,57,3},{24,57,3},{24,54,5},{21,59,50},{23,54,13},{25,60,9},{25,60,9},{25,60,9},{25,56,9},{31,36,50},{24,57,2},{24,57,2},{23,54,4},{31,47,50},
{23,54,4},{30,47,72},{25,60,4},{26,57,1},{24,57,1},{30,47,72},{31,51,72},{24,57,1},{0,55,80},{31,51,72},{0,55,80},{25,0,90},{25,0,90},{25,0,90},{25,0,90},{24,56,2},{24,56,2},{24,56,2},{24,53,2},{22,56,1},{22,56,1},{26,63,194},{26,62,94},{26,59,106},{26,59,94},{25,63,284},{25,61,97},{25,59,3},{25,57,97},{22,63,253},{23,58,81},{27,62,99},
{26,62,13},{26,59,25},{26,59,13},{29,52,243},{24,63,76},{25,59,2},{23,58,80},{28,56,243},{23,58,80},{26,62,90},{26,62,90},{26,62,90},{26,58,90},{25,62,51},{25,59,3},{25,59,3},{25,56,5},{22,61,50},{24,56,10},{26,62,9},{26,62,9},{26,62,9},{26,58,9},{30,45,50},{25,59,2},{25,59,2},{24,56,1},{31,50,50},{24,56,1},{30,52,72},{26,62,4},{27,59,1},
{25,59,1},{30,52,72},{28,58,72},{25,59,1},{0,57,80},{28,58,72},{0,57,80},{26,0,90},{26,0,90},{26,0,90},{26,0,90},{25,58,2},{25,58,2},{25,58,2},{25,55,2},{23,58,1},{23,58,1},{27,63,280},{27,63,120},{27,62,105},{27,61,82},{27,63,328},{26,63,99},{26,61,5},{26,59,99},{24,63,308},{24,60,74},{28,63,105},{28,63,45},{28,61,27},{27,61,18},{31,51,243},
{26,63,99},{26,61,5},{24,60,74},{31,56,243},{24,60,74},{27,63,84},{27,63,84},{27,63,84},{27,60,81},{26,63,58},{26,62,2},{26,62,2},{26,58,2},{23,63,53},{25,58,9},{27,63,20},{27,63,20},{27,63,20},{27,60,17},{29,54,50},{26,62,2},{26,62,2},{26,58,2},{29,56,50},{26,58,2},{30,58,72},{28,63,20},{28,61,2},{27,61,2},{30,58,72},{31,58,72},{27,61,2},
{0,60,74},{31,58,72},{0,60,74},{27,0,80},{27,0,80},{27,0,80},{27,0,80},{26,61,0},{26,61,0},{26,61,0},{26,58,1},{24,60,0},{24,60,0},{28,63,331},{28,63,187},{28,63,106},{28,63,94},{28,63,358},{27,63,173},{27,63,4},{27,61,82},{26,63,355},{25,62,65},{29,63,126},{29,63,62},{28,63,25},{28,63,13},{31,56,221},{28,63,121},{27,63,4},{25,62,65},{30,60,221},
{25,62,65},{28,63,106},{28,63,106},{28,63,106},{28,62,91},{27,63,100},{27,63,4},{27,63,4},{27,60,2},{25,63,72},{26,60,9},{28,63,25},{28,63,25},{28,63,25},{28,62,10},{30,56,50},{27,63,4},{27,63,4},{27,60,2},{30,58,50},{27,60,2},{31,59,61},{29,63,37},{29,63,1},{27,63,4},{31,59,61},{31,61,61},{27,63,4},{0,62,65},{31,61,61},{0,62,65},{28,0,90},
{28,0,90},{28,0,90},{28,0,90},{27,63,0},{27,63,0},{27,63,0},{27,60,1},{25,62,0},{25,62,0},{29,63,239},{29,63,175},{29,63,139},{29,63,99},{29,63,239},{28,63,122},{28,63,41},{28,62,19},{28,63,233},{26,63,19},{30,63,54},{30,63,38},{30,63,29},{29,63,18},{31,60,93},{29,63,54},{29,63,18},{27,63,9},{31,61,93},{27,63,9},{29,63,139},{29,63,139},{29,63,139},
{29,63,99},{29,63,139},{28,63,41},{28,63,41},{28,62,3},{27,63,116},{27,62,9},{30,63,29},{30,63,29},{30,63,29},{29,63,18},{31,58,50},{29,63,18},{29,63,18},{28,62,2},{31,60,50},{28,62,2},{31,62,5},{31,63,9},{30,63,4},{30,63,0},{31,62,5},{31,62,9},{30,63,0},{0,63,9},{31,62,9},{0,63,9},{29,0,90},{29,0,90},{29,0,90},{29,0,90},{28,63,5},
{28,63,5},{28,63,5},{28,61,2},{27,62,8},{27,62,8},{30,63,140},{30,63,124},{30,63,115},{30,63,99},{30,63,131},{29,63,98},{29,63,62},{29,63,2},{29,63,122},{28,63,20},{31,63,25},{31,63,25},{31,63,25},{30,63,18},{31,62,17},{30,63,18},{30,63,9},{29,63,1},{31,62,22},{29,63,1},{30,63,115},{30,63,115},{30,63,115},{30,63,99},{30,63,106},{29,63,62},{29,63,62},
{29,63,2},{29,63,86},{28,63,20},{31,63,25},{31,63,25},{31,63,25},{30,63,18},{31,61,13},{30,63,9},{30,63,9},{29,63,1},{31,62,13},{29,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{30,0,90},{30,0,90},{30,0,90},{30,0,90},{29,63,26},{29,63,26},{29,63,26},{29,63,2},{28,63,20},
{28,63,20},{0,13,200},{0,10,52},{0,7,2},{0,6,61},{0,9,441},{0,7,308},{0,5,139},{0,4,318},{0,5,491},{0,4,354},{0,13,200},{0,10,52},{0,7,2},{0,6,61},{2,2,441},{0,7,308},{0,5,139},{0,4,318},{2,3,441},{0,4,318},{0,6,0},{0,6,0},{0,6,0},{0,4,1},{0,3,41},{0,3,20},{0,3,20},{0,2,26},{0,2,50},{0,1,30},{0,6,0},
{0,6,0},{0,6,0},{0,4,1},{1,0,41},{0,3,20},{0,3,20},{0,2,26},{1,1,41},{0,2,26},{3,3,200},{0,10,52},{0,7,2},{0,6,61},{3,3,200},{4,3,200},{0,6,61},{0,5,202},{4,3,200},{0,5,202},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,18,200},{0,14,20},{0,10,13},
{0,9,26},{0,12,686},{0,9,419},{0,8,178},{0,5,442},{0,7,789},{0,5,491},{0,18,200},{0,14,20},{0,10,13},{0,9,26},{3,2,686},{0,9,419},{0,8,178},{0,5,442},{6,0,686},{0,5,442},{0,11,1},{0,11,1},{0,11,1},{0,7,0},{0,6,145},{0,5,74},{0,5,74},{0,3,74},{0,3,165},{0,3,90},{0,11,1},{0,11,1},{0,11,1},{0,7,0},{1,2,145},
{0,5,74},{0,5,74},{0,3,74},{3,0,145},{0,3,74},{5,1,200},{0,14,20},{1,9,2},{0,9,26},{5,1,200},{9,0,200},{0,9,26},{0,7,202},{9,0,200},{0,7,202},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,23,251},{0,17,53},{1,12,78},{0,11,54},{0,17,724},{0,13,362},{0,11,86},
{0,8,387},{0,9,932},{0,7,498},{1,20,201},{1,16,21},{1,12,14},{1,11,27},{4,4,723},{0,13,362},{0,11,86},{0,8,387},{7,2,723},{0,8,387},{0,17,49},{0,17,49},{0,17,49},{0,10,49},{0,11,162},{0,9,45},{0,9,45},{0,5,50},{0,5,243},{0,5,99},{1,13,2},{1,13,2},{1,13,2},{1,9,1},{3,1,162},{0,9,45},{0,9,45},{0,5,50},{3,3,162},
{0,5,50},{7,0,200},{0,17,4},{2,11,2},{0,11,5},{7,0,200},{10,2,200},{0,11,5},{0,9,202},{10,2,200},{0,9,202},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,13},{0,2,13},{1,25,315},{1,19,117},{1,14,171},{1,13,118},{0,23,723},{0,16,299},{0,13,18},{0,10,318},{0,12,1087},{0,9,516},{2,22,201},
{2,17,21},{2,14,14},{2,13,27},{5,6,723},{0,16,299},{0,13,18},{0,10,318},{8,4,723},{0,10,318},{1,19,113},{1,19,113},{1,19,113},{1,12,113},{0,16,162},{0,13,17},{0,13,17},{0,8,26},{0,8,338},{0,7,129},{2,15,2},{2,15,2},{2,15,2},{2,11,1},{3,6,162},{0,13,17},{0,13,17},{0,8,26},{8,0,162},{0,8,26},{7,5,200},{1,19,4},{3,13,2},
{0,13,2},{7,5,200},{14,0,200},{0,13,2},{0,11,202},{14,0,200},{0,11,202},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,10,0},{0,10,0},{0,10,0},{0,6,0},{0,5,58},{0,5,58},{2,28,408},{2,22,210},{2,16,281},{2,15,213},{0,29,739},{0,20,260},{0,16,29},{0,13,280},{0,15,1143},{0,12,464},{3,25,200},{3,21,16},{3,16,18},{3,15,20},{7,5,723},
{0,20,244},{0,16,13},{0,13,264},{14,0,723},{0,13,264},{2,21,209},{2,21,209},{2,21,209},{2,14,209},{1,19,178},{0,17,18},{0,17,18},{0,10,21},{0,12,376},{0,9,121},{3,18,0},{3,18,0},{3,18,0},{3,13,1},{6,2,162},{0,17,2},{0,17,2},{0,10,5},{11,0,162},{0,10,5},{10,1,200},{2,22,2},{4,15,5},{2,15,5},{10,1,200},{17,0,200},{2,15,5},
{0,13,200},{17,0,200},{0,13,200},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{1,13,16},{1,13,16},{1,13,16},{1,8,17},{0,8,80},{0,8,80},{3,30,408},{3,24,210},{3,18,281},{3,17,213},{1,31,739},{1,22,260},{2,17,27},{1,15,280},{0,19,1000},{0,14,322},{4,26,201},{4,22,21},{4,18,14},{4,17,27},{10,0,723},{0,23,212},{2,17,11},{0,15,225},{15,2,723},
{0,15,225},{3,23,209},{3,23,209},{3,23,209},{3,16,209},{2,21,178},{1,19,18},{1,19,18},{1,12,21},{0,15,294},{0,12,44},{4,19,2},{4,19,2},{4,19,2},{4,15,2},{8,0,162},{1,19,2},{1,19,2},{0,13,4},{11,3,162},{0,13,4},{11,3,200},{3,24,2},{5,17,2},{2,17,2},{11,3,200},{18,2,200},{2,17,2},{0,15,200},{18,2,200},{0,15,200},{3,0,208},
{3,0,208},{3,0,208},{3,0,208},{2,15,16},{2,15,16},{2,15,16},{2,10,17},{0,12,40},{0,12,40},{4,31,420},{4,26,222},{4,20,276},{4,19,223},{3,29,740},{2,24,260},{3,19,27},{2,16,270},{0,23,920},{0,16,234},{5,28,201},{5,24,21},{5,20,14},{5,19,27},{11,2,723},{0,27,200},{3,19,11},{0,17,211},{16,4,723},{0,17,211},{4,25,218},{4,25,218},{4,25,218},
{4,18,218},{3,23,178},{2,21,18},{2,21,18},{2,14,21},{0,19,228},{0,15,17},{5,21,2},{5,21,2},{5,21,2},{5,17,1},{9,2,162},{2,21,2},{2,21,2},{1,15,4},{16,0,162},{1,15,4},{13,1,200},{3,28,2},{6,19,2},{3,19,2},{13,1,200},{19,4,200},{3,19,2},{0,17,202},{19,4,200},{0,17,202},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{3,17,16},
{3,17,16},{3,17,16},{3,12,17},{0,15,13},{0,15,13},{5,33,420},{5,28,222},{5,22,276},{5,21,223},{3,34,740},{3,26,260},{3,22,29},{3,18,270},{0,25,844},{0,19,202},{6,30,201},{6,26,21},{6,22,14},{6,21,27},{12,4,723},{1,29,200},{3,22,13},{0,19,202},{22,0,723},{0,19,202},{5,27,218},{5,27,218},{5,27,218},{5,20,218},{3,28,178},{3,23,18},{3,23,18},
{3,16,18},{0,22,195},{1,17,17},{6,23,2},{6,23,2},{6,23,2},{6,19,1},{11,1,162},{3,23,2},{3,23,2},{3,16,2},{17,2,162},{3,16,2},{15,0,200},{5,28,4},{7,21,2},{4,21,2},{15,0,200},{24,1,200},{4,21,2},{0,19,202},{24,1,200},{0,19,202},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{3,22,16},{3,22,16},{3,22,16},{3,16,17},{0,19,0},
{0,19,0},{6,36,408},{6,30,210},{6,24,276},{6,23,213},{4,37,739},{4,28,260},{4,24,24},{4,21,280},{0,29,780},{1,21,202},{7,33,200},{7,29,17},{7,24,13},{7,23,20},{15,0,723},{2,31,203},{4,24,8},{1,21,201},{24,1,723},{1,21,201},{6,29,209},{6,29,209},{6,29,209},{6,22,209},{5,27,178},{4,25,17},{4,25,17},{4,18,21},{0,26,168},{2,19,14},{7,26,0},
{7,26,0},{7,26,0},{7,21,1},{13,0,162},{4,25,1},{4,25,1},{3,19,4},{20,2,162},{3,19,4},{16,2,200},{6,30,2},{8,23,5},{6,23,5},{16,2,200},{27,1,200},{6,23,5},{0,21,200},{27,1,200},{0,21,200},{6,0,208},{6,0,208},{6,0,208},{6,0,208},{5,21,16},{5,21,16},{5,21,16},{5,16,17},{1,21,2},{1,21,2},{7,38,408},{7,32,210},{7,26,276},
{7,25,213},{5,39,739},{5,30,260},{5,26,24},{5,23,280},{0,33,749},{2,23,202},{8,34,201},{8,30,19},{8,26,14},{8,25,21},{16,1,723},{3,33,202},{5,26,8},{2,23,201},{25,3,723},{2,23,201},{7,31,209},{7,31,209},{7,31,209},{7,24,209},{6,29,178},{5,27,17},{5,27,17},{5,20,21},{0,30,164},{3,21,14},{8,28,1},{8,28,1},{8,28,1},{8,23,2},{14,2,162},
{5,27,1},{5,27,1},{4,21,4},{24,0,162},{4,21,4},{17,4,200},{7,32,2},{9,25,5},{7,25,5},{17,4,200},{27,4,200},{7,25,5},{0,23,200},{27,4,200},{0,23,200},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{6,23,16},{6,23,16},{6,23,16},{6,18,17},{2,23,2},{2,23,2},{8,39,420},{8,34,222},{8,28,286},{8,27,223},{6,41,739},{6,32,260},{6,28,24},
{6,25,280},{0,36,725},{3,25,202},{9,36,201},{9,32,21},{9,28,14},{9,27,21},{18,0,723},{4,35,200},{6,28,8},{3,25,201},{30,0,723},{3,25,201},{8,33,218},{8,33,218},{8,33,218},{8,26,219},{7,31,178},{6,29,17},{6,29,17},{6,22,21},{2,30,168},{4,23,17},{9,30,1},{9,30,1},{9,30,1},{9,25,2},{16,0,162},{6,29,1},{6,29,1},{5,23,4},{26,1,162},
{5,23,4},{18,6,200},{7,36,2},{10,27,5},{8,27,5},{18,6,200},{28,6,200},{8,27,5},{0,25,200},{28,6,200},{0,25,200},{8,0,218},{8,0,218},{8,0,218},{8,0,218},{7,25,16},{7,25,16},{7,25,16},{7,20,17},{3,25,2},{3,25,2},{9,41,420},{9,36,222},{9,30,286},{9,29,223},{7,43,739},{7,34,260},{7,30,24},{7,27,280},{1,38,725},{4,27,201},{10,38,201},
{10,34,21},{10,30,14},{10,29,21},{19,2,723},{5,37,200},{7,30,8},{4,27,201},{31,2,723},{4,27,201},{9,35,218},{9,35,218},{9,35,218},{9,28,219},{7,36,178},{7,31,17},{7,31,17},{7,24,21},{2,33,165},{5,25,17},{10,31,2},{10,31,2},{10,31,2},{10,27,2},{17,2,162},{7,31,1},{7,31,1},{6,25,4},{27,3,162},{6,25,4},{21,1,200},{9,36,4},{11,29,5},
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{28,63,25},{27,63,249},{26,63,58},{30,63,26},{30,63,26},{30,63,26},{30,63,10},{31,60,41},{30,63,25},{30,63,25},{28,63,0},{31,61,41},{28,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{29,0,218},{29,0,218},{29,0,218},{29,0,218},{28,63,61},{28,63,61},{28,63,61},{28,63,25},{26,63,58},
{26,63,58},{0,18,421},{0,15,106},{0,10,8},{0,9,117},{0,12,925},{0,9,650},{0,9,286},{0,6,670},{0,7,1030},{0,5,726},{0,18,421},{0,15,106},{0,10,8},{0,9,117},{3,2,925},{0,9,650},{0,9,286},{0,6,670},{6,0,925},{0,6,670},{0,9,0},{0,9,0},{0,9,0},{0,5,1},{0,4,85},{0,4,45},{0,4,45},{0,2,50},{0,2,98},{0,2,59},{0,9,0},
{0,9,0},{0,9,0},{0,5,1},{1,1,85},{0,4,45},{0,4,45},{0,2,50},{2,0,85},{0,2,50},{5,1,421},{0,15,106},{0,10,8},{0,9,117},{5,1,421},{9,0,421},{0,9,117},{0,7,421},{9,0,421},{0,7,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,24,421},{0,19,53},{0,13,8},
{0,11,72},{0,16,1261},{0,12,805},{0,11,328},{0,7,822},{0,9,1438},{0,7,922},{0,24,421},{0,19,53},{0,13,8},{0,11,72},{3,6,1261},{0,12,805},{0,11,328},{0,7,822},{8,0,1261},{0,7,822},{0,14,0},{0,14,0},{0,14,0},{0,8,1},{0,7,221},{0,7,116},{0,7,116},{0,4,125},{0,4,257},{0,3,146},{0,14,0},{0,14,0},{0,14,0},{0,8,1},{2,0,221},
{0,7,116},{0,7,116},{0,4,125},{3,1,221},{0,4,125},{7,0,421},{0,19,53},{1,12,8},{0,11,72},{7,0,421},{11,1,421},{0,11,72},{0,9,421},{11,1,421},{0,9,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,29,430},{0,22,34},{0,15,62},{0,14,49},{0,20,1514},{0,15,866},{0,13,301},
{0,9,894},{0,11,1797},{0,9,1063},{0,29,430},{0,22,34},{1,15,33},{0,14,49},{6,0,1514},{0,15,866},{0,13,301},{0,9,894},{10,0,1514},{0,9,894},{0,19,10},{0,19,10},{0,19,10},{0,12,10},{0,11,338},{0,9,149},{0,9,149},{0,5,162},{0,5,419},{0,5,211},{0,19,10},{0,19,10},{0,19,10},{0,12,10},{3,1,338},{0,9,149},{0,9,149},{0,5,162},{3,3,338},
{0,5,162},{8,2,421},{0,22,25},{2,14,8},{0,14,40},{8,2,421},{14,0,421},{0,14,40},{0,11,421},{14,0,421},{0,11,421},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,2},{0,1,2},{1,31,494},{1,24,98},{1,17,131},{1,16,110},{0,25,1517},{0,19,734},{0,15,157},{0,11,789},{0,14,1982},{0,11,1045},{1,31,430},
{1,24,34},{2,16,35},{1,16,46},{7,2,1514},{0,19,734},{0,15,157},{0,11,789},{11,2,1514},{0,11,789},{1,21,74},{1,21,74},{1,21,74},{1,14,74},{0,16,338},{0,13,89},{0,13,89},{0,8,106},{0,8,514},{0,7,217},{1,21,10},{1,21,10},{1,21,10},{1,14,10},{3,6,338},{0,13,89},{0,13,89},{0,8,106},{8,0,338},{0,8,106},{10,0,421},{0,26,5},{3,16,5},
{0,16,10},{10,0,421},{17,0,421},{0,16,10},{0,13,421},{17,0,421},{0,13,421},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,7,1},{0,7,1},{0,7,1},{0,4,1},{0,3,32},{0,3,32},{1,37,629},{1,28,213},{2,19,340},{1,18,216},{0,31,1517},{0,23,629},{0,18,54},{0,14,686},{0,17,2187},{0,13,1070},{3,30,437},{2,27,33},{3,19,29},{2,18,45},{9,1,1514},
{0,23,629},{0,18,54},{0,14,686},{13,3,1514},{0,14,686},{1,27,209},{1,27,209},{1,27,209},{1,17,208},{0,22,338},{0,17,34},{0,17,34},{0,11,53},{0,11,666},{0,9,273},{3,21,16},{3,21,16},{3,21,16},{3,15,16},{6,2,338},{0,17,34},{0,17,34},{0,11,53},{11,0,338},{0,11,53},{12,0,421},{0,30,1},{4,18,8},{0,18,5},{12,0,421},{20,0,421},{0,18,5},
{0,15,421},{20,0,421},{0,15,421},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,6,106},{0,6,106},{2,39,821},{2,30,405},{2,22,557},{2,20,408},{0,36,1517},{0,25,562},{0,21,14},{0,16,589},{0,19,2445},{0,15,1130},{3,35,437},{3,29,33},{4,21,33},{3,20,45},{10,3,1514},{0,25,562},{0,21,14},{0,16,589},{18,0,1514},
{0,16,589},{2,29,401},{2,29,401},{2,29,401},{2,19,400},{0,27,340},{0,21,10},{0,21,10},{0,13,20},{0,14,851},{0,11,357},{3,26,16},{3,26,16},{3,26,16},{3,18,16},{8,0,338},{0,21,10},{0,21,10},{0,13,20},{11,3,338},{0,13,20},{13,1,421},{1,32,2},{5,20,8},{1,20,5},{13,1,421},{21,2,421},{1,20,5},{0,17,421},{21,2,421},{0,17,421},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,19,0},{0,19,0},{0,19,0},{0,11,1},{0,9,205},{0,9,205},{3,41,854},{3,32,435},{3,24,590},{3,22,441},{1,38,1518},{0,29,543},{1,23,15},{0,18,575},{0,23,2318},{0,17,906},{4,37,430},{4,30,34},{5,23,33},{4,22,49},{12,1,1514},{0,29,494},{1,23,14},{0,18,526},{19,2,1514},{0,18,526},{3,31,434},{3,31,434},{3,31,434},
{3,21,433},{1,29,341},{1,23,11},{1,23,11},{1,15,21},{0,17,734},{0,15,230},{4,27,10},{4,27,10},{4,27,10},{4,20,10},{9,2,338},{0,25,2},{0,25,2},{0,15,5},{16,0,338},{0,15,5},{15,0,421},{3,32,2},{6,22,8},{2,22,5},{15,0,421},{25,0,421},{2,22,5},{0,19,421},{25,0,421},{0,19,421},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{1,21,1},
{1,21,1},{1,21,1},{1,13,2},{0,12,157},{0,12,157},{4,42,866},{4,34,450},{4,26,581},{4,24,458},{2,40,1518},{1,31,543},{2,25,15},{1,20,575},{0,27,2166},{0,20,706},{5,39,430},{5,32,34},{6,25,33},{5,24,49},{14,0,1514},{0,32,461},{2,25,14},{0,20,481},{20,4,1514},{0,20,481},{4,33,445},{4,33,445},{4,33,445},{4,23,445},{2,31,341},{2,25,11},{2,25,11},
{2,17,27},{0,21,626},{0,17,102},{5,29,10},{5,29,10},{5,29,10},{5,22,10},{11,1,338},{1,27,2},{1,27,2},{0,17,2},{17,2,338},{0,17,2},{16,1,421},{3,36,2},{7,24,8},{3,24,5},{16,1,421},{27,1,421},{3,24,5},{0,21,421},{27,1,421},{0,21,421},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{2,23,1},{2,23,1},{2,23,1},{2,15,2},{0,16,97},
{0,16,97},{5,45,854},{5,36,438},{5,28,579},{5,26,446},{3,43,1514},{3,32,545},{3,27,9},{3,22,582},{0,31,2010},{0,22,546},{7,38,437},{6,35,33},{7,27,26},{6,26,50},{14,6,1514},{0,37,430},{3,27,9},{0,23,446},{26,0,1514},{0,23,446},{5,35,434},{5,35,434},{5,35,434},{5,25,434},{3,34,338},{3,27,8},{3,27,8},{3,19,20},{0,25,525},{0,19,45},{7,29,16},
{7,29,16},{7,29,16},{7,23,16},{13,0,338},{2,29,0},{2,29,0},{1,20,4},{20,2,338},{1,20,4},{18,1,421},{4,38,1},{8,26,10},{4,27,2},{18,1,421},{29,2,421},{4,27,2},{0,23,421},{29,2,421},{0,23,421},{5,0,433},{5,0,433},{5,0,433},{5,0,433},{3,25,1},{3,25,1},{3,25,1},{3,17,1},{0,19,41},{0,19,41},{6,47,854},{6,38,438},{6,30,579},
{6,28,446},{4,45,1515},{3,36,553},{4,29,15},{3,24,589},{0,34,1887},{0,25,450},{7,44,437},{7,37,33},{8,29,30},{7,28,50},{16,4,1514},{0,40,422},{4,29,14},{0,25,425},{27,2,1514},{0,25,425},{6,37,434},{6,37,434},{6,37,434},{6,27,434},{4,35,341},{4,29,14},{4,29,14},{4,21,21},{0,29,461},{0,22,41},{7,34,16},{7,34,16},{7,34,16},{7,26,16},{14,2,338},
{3,31,0},{3,31,0},{2,22,4},{24,0,338},{2,22,4},{19,3,421},{5,40,1},{8,29,5},{5,29,2},{19,3,421},{30,4,421},{5,29,2},{0,25,421},{30,4,421},{0,25,421},{6,0,433},{6,0,433},{6,0,433},{6,0,433},{4,27,1},{4,27,1},{4,27,1},{4,19,2},{0,23,13},{0,23,13},{7,49,854},{7,40,438},{7,32,590},{7,30,446},{5,47,1515},{4,37,543},{5,31,15},
{4,26,591},{0,36,1785},{0,27,422},{8,45,430},{8,38,34},{9,31,30},{8,30,43},{17,6,1514},{1,42,422},{5,31,14},{0,27,422},{28,4,1514},{0,27,422},{7,39,434},{7,39,434},{7,39,434},{7,29,434},{5,37,341},{5,31,14},{5,31,14},{5,23,21},{0,32,404},{1,24,41},{8,35,10},{8,35,10},{8,35,10},{8,28,9},{16,0,338},{4,33,2},{4,33,2},{3,24,4},{26,1,338},
{3,24,4},{21,1,421},{6,42,1},{9,31,5},{6,31,2},{21,1,421},{31,6,421},{6,31,2},{0,27,421},{31,6,421},{0,27,421},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{5,29,1},{5,29,1},{5,29,1},{5,21,2},{0,27,1},{0,27,1},{8,50,866},{8,42,450},{8,34,581},{8,32,458},{6,48,1518},{5,39,543},{6,33,15},{5,28,591},{0,40,1685},{1,29,422},{9,47,430},
{9,40,34},{10,33,33},{9,32,49},{20,1,1514},{2,44,422},{6,33,14},{1,29,422},{29,6,1514},{1,29,422},{8,41,445},{8,41,445},{8,41,445},{8,31,446},{6,39,341},{6,33,11},{6,33,11},{6,25,21},{0,35,371},{2,26,41},{9,37,10},{9,37,10},{9,37,10},{9,30,9},{17,2,338},{5,35,2},{5,35,2},{5,25,5},{27,3,338},{5,25,5},{23,0,421},{7,44,1},{11,32,8},
{7,32,5},{23,0,421},{31,9,421},{7,32,5},{0,29,421},{31,9,421},{0,29,421},{8,0,445},{8,0,445},{8,0,445},{8,0,445},{6,31,1},{6,31,1},{6,31,1},{6,23,2},{1,29,1},{1,29,1},{9,53,854},{9,45,437},{9,36,579},{9,34,446},{7,51,1514},{7,41,546},{7,35,9},{6,31,589},{0,44,1607},{2,31,430},{11,46,437},{10,43,36},{11,35,26},{10,34,50},{22,0,1514},
{3,47,421},{7,35,9},{3,31,426},{31,7,1514},{3,31,426},{9,43,434},{9,43,434},{9,43,434},{9,33,434},{7,42,338},{7,35,8},{7,35,8},{7,27,18},{0,39,344},{3,29,42},{11,37,16},{11,37,16},{11,37,16},{10,32,16},{19,1,338},{6,37,0},{6,37,0},{5,28,1},{29,4,338},{5,28,1},{24,2,421},{8,46,1},{12,34,10},{8,35,2},{24,2,421},{30,14,421},{8,35,2},
{0,31,425},{30,14,421},{0,31,425},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{7,33,1},{7,33,1},{7,33,1},{7,26,1},{2,32,2},{2,32,2},{10,55,854},{10,47,437},{10,38,579},{10,36,446},{8,53,1515},{7,43,561},{8,37,15},{7,32,589},{0,47,1577},{3,33,425},{11,52,437},{11,45,36},{12,37,30},{11,36,50},{23,2,1514},{4,48,422},{8,37,14},{3,33,425},{28,14,1514},
{3,33,425},{10,45,434},{10,45,434},{10,45,434},{10,35,434},{8,43,341},{8,37,14},{8,37,14},{8,29,19},{0,43,340},{4,30,38},{11,42,16},{11,42,16},{11,42,16},{11,34,16},{20,3,338},{7,39,0},{7,39,0},{6,30,1},{30,6,338},{6,30,1},{26,1,421},{9,48,1},{12,37,5},{9,37,2},{26,1,421},{30,17,421},{9,37,2},{0,33,421},{30,17,421},{0,33,421},{10,0,433},
{10,0,433},{10,0,433},{10,0,433},{8,35,1},{8,35,1},{8,35,1},{8,28,2},{3,34,2},{3,34,2},{11,57,854},{11,48,438},{11,40,579},{11,38,446},{9,55,1515},{8,46,555},{9,39,15},{8,34,591},{0,51,1530},{4,35,422},{12,53,430},{12,46,34},{13,39,30},{12,38,43},{24,4,1514},{5,50,422},{9,39,14},{4,35,422},{28,17,1514},{4,35,422},{11,47,434},{11,47,434},{11,47,434},
{11,37,434},{9,45,341},{9,39,14},{9,39,14},{9,31,19},{1,45,340},{5,32,41},{12,44,9},{12,44,9},{12,44,9},{12,36,9},{21,5,338},{8,41,1},{8,41,1},{7,32,4},{31,8,338},{7,32,4},{27,3,421},{10,50,1},{13,39,5},{10,39,2},{27,3,421},{31,19,421},{10,39,2},{0,35,421},{31,19,421},{0,35,421},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{9,37,1},
{9,37,1},{9,37,1},{9,30,2},{4,35,1},{4,35,1},{12,58,866},{12,50,450},{12,41,590},{12,40,458},{10,57,1515},{9,48,555},{10,41,15},{9,36,591},{0,54,1518},{5,37,422},{13,55,430},{13,48,34},{14,41,30},{13,40,43},{25,6,1514},{6,52,422},{10,41,14},{5,37,422},{29,19,1514},{5,37,422},{12,49,445},{12,49,445},{12,49,445},{12,39,446},{10,47,341},{10,41,14},{10,41,14},
{10,33,21},{2,47,340},{6,34,41},{13,46,9},{13,46,9},{13,46,9},{13,38,9},{24,0,338},{9,43,1},{9,43,1},{9,33,5},{31,11,338},{9,33,5},{29,1,421},{11,52,1},{14,41,5},{11,41,2},{29,1,421},{31,22,421},{11,41,2},{0,37,421},{31,22,421},{0,37,421},{12,0,445},{12,0,445},{12,0,445},{12,0,445},{10,39,1},{10,39,1},{10,39,1},{10,31,5},{5,37,1},
{5,37,1},{13,61,854},{13,53,437},{13,44,593},{13,43,442},{11,59,1517},{11,49,546},{11,43,13},{10,39,589},{1,57,1518},{6,39,430},{15,54,437},{14,51,36},{15,43,25},{14,42,48},{27,5,1514},{7,55,421},{11,43,13},{7,39,426},{31,20,1514},{7,39,426},{13,51,434},{13,51,434},{13,51,434},{13,42,434},{11,50,338},{11,43,13},{11,43,13},{11,35,18},{4,47,341},{7,37,42},{15,45,16},
{15,45,16},{15,45,16},{15,39,17},{24,6,338},{10,45,1},{10,45,1},{9,36,1},{29,17,338},{9,36,1},{31,0,421},{12,54,1},{16,43,4},{12,43,0},{31,0,421},{30,27,421},{12,43,0},{0,39,425},{30,27,421},{0,39,425},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{11,41,1},{11,41,1},{11,41,1},{11,34,1},{6,40,1},{6,40,1},{14,63,854},{14,55,437},{14,46,593},
{14,45,442},{12,61,1515},{11,51,561},{12,45,19},{11,41,589},{2,59,1518},{7,41,430},{15,60,437},{15,53,36},{16,45,34},{15,44,48},{30,0,1514},{9,55,425},{12,45,18},{8,41,426},{28,27,1514},{8,41,426},{14,53,434},{14,53,434},{14,53,434},{14,44,434},{12,51,341},{12,46,17},{12,46,17},{12,37,19},{4,51,340},{8,38,38},{15,50,16},{15,50,16},{15,50,16},{15,42,17},{27,1,338},
{11,47,1},{11,47,1},{10,38,1},{30,19,338},{10,38,1},{31,6,421},{13,56,1},{17,45,4},{13,45,0},{31,6,421},{31,29,421},{13,45,0},{0,41,425},{31,29,421},{0,41,425},{14,0,433},{14,0,433},{14,0,433},{14,0,433},{12,43,1},{12,43,1},{12,43,1},{12,36,2},{7,42,1},{7,42,1},{15,63,878},{15,57,437},{15,48,579},{15,47,442},{13,63,1515},{12,54,555},{13,47,19},
{12,43,574},{3,61,1518},{8,43,429},{16,61,430},{16,54,34},{17,47,34},{16,46,41},{31,2,1514},{10,57,425},{13,47,18},{9,43,426},{29,29,1514},{9,43,426},{15,55,434},{15,55,434},{15,55,434},{15,46,434},{13,53,341},{13,47,19},{13,47,19},{13,39,19},{5,53,340},{9,40,38},{16,52,9},{16,52,9},{16,52,9},{16,44,10},{28,3,338},{12,49,1},{12,49,1},{11,40,1},{31,21,338},
{11,40,1},{31,11,421},{14,58,1},{18,47,4},{14,47,0},{31,11,421},{31,32,421},{14,47,0},{0,43,425},{31,32,421},{0,43,425},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{13,45,1},{13,45,1},{13,45,1},{13,38,2},{8,43,4},{8,43,4},{16,63,926},{16,58,450},{16,49,590},{16,48,458},{14,63,1542},{13,56,555},{14,49,15},{13,45,574},{4,62,1517},{9,45,429},{17,63,430},
{17,56,34},{18,49,30},{17,48,43},{30,11,1514},{11,59,425},{14,49,14},{10,45,426},{30,31,1514},{10,45,426},{16,57,445},{16,57,445},{16,57,445},{16,47,446},{14,55,341},{14,49,14},{14,49,14},{14,41,19},{6,55,340},{10,42,38},{17,54,9},{17,54,9},{17,54,9},{17,46,10},{29,5,338},{13,51,1},{13,51,1},{12,42,1},{31,24,338},{12,42,1},{31,16,421},{15,60,1},{18,49,5},
{15,49,2},{31,16,421},{31,35,421},{15,49,2},{0,45,425},{31,35,421},{0,45,425},{16,0,445},{16,0,445},{16,0,445},{16,0,445},{14,47,1},{14,47,1},{14,47,1},{14,40,2},{9,45,4},{9,45,4},{17,63,1034},{17,61,438},{17,52,593},{17,51,442},{16,63,1598},{15,57,554},{15,51,13},{15,47,577},{6,63,1535},{10,48,434},{19,63,437},{18,59,41},{19,51,25},{18,50,48},{29,20,1514},
{11,63,422},{15,51,13},{11,47,433},{31,33,1514},{11,47,433},{17,60,433},{17,60,433},{17,60,433},{17,50,434},{15,58,338},{15,51,13},{15,51,13},{15,43,20},{7,57,339},{12,44,41},{19,53,16},{19,53,16},{19,53,16},{19,47,17},{31,4,338},{14,53,1},{14,53,1},{13,44,1},{30,29,338},{13,44,1},{31,22,421},{16,63,1},{20,51,4},{16,51,0},{31,22,421},{30,40,421},{16,51,0},
{0,47,433},{30,40,421},{0,47,433},{17,0,433},{17,0,433},{17,0,433},{17,0,433},{15,49,1},{15,49,1},{15,49,1},{15,42,0},{10,48,1},{10,48,1},{18,63,1166},{18,63,438},{18,54,593},{18,53,442},{17,63,1643},{15,60,561},{16,53,19},{15,49,589},{8,63,1566},{11,49,430},{20,63,458},{19,61,41},{20,53,34},{19,52,48},{30,22,1514},{13,63,429},{16,53,18},{12,49,426},{28,40,1514},
{12,49,426},{18,62,433},{18,62,433},{18,62,433},{18,52,434},{16,60,339},{16,54,17},{16,54,17},{16,45,26},{9,57,341},{13,46,41},{19,58,17},{19,58,17},{19,58,17},{19,50,17},{30,13,338},{15,55,1},{15,55,1},{14,46,1},{31,31,338},{14,46,1},{31,27,421},{18,63,5},{21,53,4},{17,53,0},{31,27,421},{31,42,421},{17,53,0},{0,49,425},{31,42,421},{0,49,425},{18,0,433},
{18,0,433},{18,0,433},{18,0,433},{16,51,1},{16,51,1},{16,51,1},{16,44,1},{11,50,1},{11,50,1},{20,63,1326},{19,63,470},{19,56,593},{19,55,442},{18,63,1742},{16,62,546},{17,55,19},{16,51,574},{10,63,1638},{12,51,429},{21,63,506},{20,63,29},{21,55,34},{20,54,41},{31,24,1514},{15,63,461},{17,55,18},{13,51,426},{29,42,1514},{13,51,426},{19,63,434},{19,63,434},{19,63,434},
{19,54,434},{17,62,339},{17,56,17},{17,56,17},{17,47,26},{10,59,341},{13,48,38},{20,60,9},{20,60,9},{20,60,9},{20,52,10},{31,15,338},{16,57,2},{16,57,2},{15,48,1},{31,34,338},{15,48,1},{31,32,421},{20,63,20},{22,55,4},{18,55,0},{31,32,421},{31,45,421},{18,55,0},{0,51,425},{31,45,421},{0,51,425},{19,0,433},{19,0,433},{19,0,433},{19,0,433},{17,53,1},
{17,53,1},{17,53,1},{17,46,1},{12,51,4},{12,51,4},{21,63,1470},{20,63,561},{20,58,582},{20,57,461},{19,63,1895},{18,62,562},{18,57,19},{17,53,574},{12,63,1761},{13,53,429},{22,63,590},{21,63,59},{22,57,34},{21,56,41},{31,29,1514},{17,63,530},{18,57,18},{14,53,426},{30,44,1514},{14,53,426},{20,63,461},{20,63,461},{20,63,461},{20,55,446},{18,63,341},{18,58,17},{18,58,17},
{18,49,19},{11,61,341},{14,50,38},{21,62,9},{21,62,9},{21,62,9},{21,54,10},{31,20,338},{17,59,2},{17,59,2},{16,50,1},{31,37,338},{16,50,1},{31,38,421},{21,63,50},{23,57,4},{19,57,0},{31,38,421},{31,48,421},{19,57,0},{0,53,425},{31,48,421},{0,53,425},{20,0,445},{20,0,445},{20,0,445},{20,0,445},{18,55,1},{18,55,1},{18,55,1},{18,48,2},{13,53,4},
{13,53,4},{22,63,1674},{21,63,753},{21,60,586},{21,59,443},{21,63,2046},{19,63,629},{19,60,19},{19,55,577},{15,63,1917},{14,56,426},{24,63,674},{23,63,120},{23,60,29},{22,58,50},{31,35,1514},{19,63,629},{19,60,19},{14,56,425},{27,51,1514},{14,56,425},{21,63,497},{21,63,497},{21,63,497},{21,58,433},{19,63,388},{19,60,10},{19,60,10},{19,51,20},{12,63,347},{16,52,41},{23,61,17},
{23,61,17},{23,61,17},{23,55,17},{31,26,338},{18,62,2},{18,62,2},{17,52,1},{30,42,338},{17,52,1},{31,44,421},{23,63,104},{24,59,5},{20,59,1},{31,44,421},{31,51,421},{20,59,1},{0,56,425},{31,51,421},{0,56,425},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{19,58,0},{19,58,0},{19,58,0},{19,50,0},{14,56,1},{14,56,1},{23,63,1902},{22,63,995},{22,62,586},
{22,61,443},{22,63,2235},{20,63,759},{20,61,15},{19,57,578},{17,63,2118},{15,58,426},{25,63,770},{24,63,250},{24,61,35},{23,60,50},{31,40,1514},{21,63,701},{20,61,14},{15,58,425},{31,49,1514},{15,58,425},{22,63,554},{22,63,554},{22,63,554},{22,60,433},{21,63,437},{20,61,14},{20,61,14},{20,53,26},{14,63,379},{17,54,41},{24,63,25},{24,63,25},{24,63,25},{23,59,17},{31,31,338},
{19,63,4},{19,63,4},{18,54,1},{31,44,338},{18,54,1},{31,49,421},{25,63,169},{25,61,5},{21,61,1},{31,49,421},{30,56,421},{21,61,1},{0,58,425},{30,56,421},{0,58,425},{22,0,433},{22,0,433},{22,0,433},{22,0,433},{20,59,2},{20,59,2},{20,59,2},{20,52,1},{15,58,1},{15,58,1},{24,63,2045},{24,63,1233},{23,63,629},{23,63,442},{24,63,2360},{22,63,914},{21,63,14},
{20,59,549},{19,63,2241},{16,60,401},{26,63,849},{25,63,395},{25,63,34},{24,62,41},{29,52,1459},{23,63,778},{21,63,13},{17,59,400},{28,56,1459},{17,59,400},{23,63,629},{23,63,629},{23,63,629},{23,62,433},{22,63,491},{21,63,14},{21,63,14},{21,55,26},{16,63,446},{18,56,41},{25,63,34},{25,63,34},{25,63,34},{24,60,10},{31,36,338},{21,63,13},{21,63,13},{19,56,1},{31,47,338},
{19,56,1},{31,54,392},{27,63,218},{26,63,4},{22,63,0},{31,54,392},{29,60,392},{22,63,0},{0,59,400},{29,60,392},{0,59,400},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{21,61,2},{21,61,2},{21,61,2},{21,54,1},{16,60,1},{16,60,1},{25,63,1767},{25,63,1167},{24,63,701},{24,63,449},{24,63,1976},{23,63,747},{22,63,66},{21,60,306},{20,63,1820},{17,61,217},{27,63,611},
{26,63,317},{26,63,61},{25,63,10},{30,52,1064},{25,63,587},{23,63,41},{18,61,208},{28,58,1064},{18,61,208},{24,63,701},{24,63,701},{24,63,701},{24,63,449},{23,63,581},{22,63,66},{22,63,66},{22,57,26},{18,63,530},{19,58,41},{26,63,61},{26,63,61},{26,63,61},{25,62,10},{30,45,338},{23,63,41},{23,63,41},{20,58,1},{31,50,338},{20,58,1},{30,60,200},{28,63,106},{27,63,1},
{25,63,1},{30,60,200},{31,59,200},{25,63,1},{0,60,208},{31,59,200},{0,60,208},{24,0,445},{24,0,445},{24,0,445},{24,0,445},{22,63,2},{22,63,2},{22,63,2},{22,56,1},{17,62,1},{17,62,1},{26,63,1542},{26,63,1122},{25,63,833},{25,63,497},{26,63,1647},{24,63,687},{24,63,203},{23,61,122},{22,63,1515},{19,62,78},{28,63,410},{28,63,266},{27,63,116},{27,63,20},{30,56,722},
{26,63,402},{25,63,100},{20,62,65},{30,58,722},{20,62,65},{25,63,833},{25,63,833},{25,63,833},{25,63,497},{24,63,707},{24,63,203},{24,63,203},{23,60,17},{20,63,619},{19,61,46},{27,63,116},{27,63,116},{27,63,116},{27,63,20},{29,54,338},{25,63,100},{25,63,100},{22,60,2},{29,56,338},{22,60,2},{31,59,61},{29,63,37},{29,63,1},{27,63,4},{31,59,61},{31,61,61},{27,63,4},
{0,62,65},{31,61,61},{0,62,65},{25,0,433},{25,0,433},{25,0,433},{25,0,433},{23,63,25},{23,63,25},{23,63,25},{23,58,1},{19,62,13},{19,62,13},{27,63,1406},{27,63,1134},{26,63,962},{26,63,602},{27,63,1454},{25,63,702},{25,63,341},{24,62,43},{24,63,1378},{20,63,35},{29,63,318},{28,63,250},{28,63,169},{28,63,61},{31,56,509},{28,63,313},{27,63,164},{22,63,10},{30,60,509},
{22,63,10},{26,63,962},{26,63,962},{26,63,962},{26,63,602},{26,63,827},{25,63,341},{25,63,341},{24,62,27},{22,63,747},{20,63,35},{28,63,169},{28,63,169},{28,63,169},{28,63,61},{30,56,338},{27,63,164},{27,63,164},{23,62,2},{30,58,338},{23,62,2},{31,62,5},{31,63,9},{30,63,4},{30,63,0},{31,62,5},{31,62,9},{30,63,0},{0,63,9},{31,62,9},{0,63,9},{26,0,433},
{26,0,433},{26,0,433},{26,0,433},{24,63,50},{24,63,50},{24,63,50},{24,60,1},{20,63,26},{20,63,26},{28,63,1135},{28,63,991},{27,63,874},{27,63,602},{28,63,1162},{26,63,618},{26,63,362},{25,63,5},{25,63,1087},{22,63,58},{30,63,219},{29,63,161},{29,63,125},{29,63,61},{30,62,294},{29,63,193},{28,63,117},{24,63,1},{31,60,297},{24,63,1},{27,63,874},{27,63,874},{27,63,874},
{27,63,602},{27,63,730},{26,63,362},{26,63,362},{25,63,5},{24,63,681},{22,63,58},{29,63,125},{29,63,125},{29,63,125},{29,63,61},{31,56,221},{28,63,117},{28,63,117},{24,63,1},{31,59,221},{24,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{27,0,433},{27,0,433},{27,0,433},{27,0,433},{25,63,101},
{25,63,101},{25,63,101},{25,62,1},{22,63,58},{22,63,58},{29,63,885},{28,63,751},{28,63,670},{28,63,526},{28,63,778},{27,63,483},{27,63,314},{26,63,10},{26,63,777},{24,63,117},{30,63,75},{30,63,59},{30,63,50},{30,63,34},{31,60,114},{29,63,81},{29,63,45},{27,63,0},{31,61,114},{27,63,0},{28,63,670},{28,63,670},{28,63,670},{28,63,526},{28,63,553},{27,63,314},{27,63,314},
{26,63,10},{25,63,518},{24,63,117},{30,63,50},{30,63,50},{30,63,50},{30,63,34},{31,59,85},{29,63,45},{29,63,45},{27,63,0},{30,62,85},{27,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{28,0,445},{28,0,445},{28,0,445},{28,0,445},{27,63,145},{27,63,145},{27,63,145},{26,63,10},{24,63,117},
{24,63,117},{0,26,882},{0,21,218},{0,15,16},{0,13,260},{0,17,1899},{0,13,1341},{0,11,593},{0,8,1380},{0,9,2113},{0,7,1513},{0,26,882},{0,21,218},{0,15,16},{0,13,260},{4,4,1896},{0,13,1341},{0,11,593},{0,8,1380},{7,2,1896},{0,8,1380},{0,12,0},{0,12,0},{0,12,0},{0,7,1},{0,6,162},{0,5,85},{0,5,85},{0,3,85},{0,3,186},{0,3,101},{0,12,0},
{0,12,0},{0,12,0},{0,7,1},{1,3,162},{0,5,85},{0,5,85},{0,3,85},{3,0,162},{0,3,85},{6,6,882},{0,21,218},{0,15,16},{0,13,260},{6,6,882},{12,1,882},{0,13,260},{0,10,884},{12,1,882},{0,10,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,884},{0,25,146},{0,17,2},
{0,15,185},{0,21,2355},{0,17,1539},{0,13,653},{0,10,1605},{0,11,2667},{0,9,1777},{0,31,884},{0,25,146},{0,17,2},{0,15,185},{5,4,2355},{0,17,1539},{0,13,653},{0,10,1605},{7,4,2355},{0,10,1605},{0,17,1},{0,17,1},{0,17,1},{0,10,1},{0,9,338},{0,8,180},{0,8,180},{0,5,180},{0,5,389},{0,5,229},{0,17,1},{0,17,1},{0,17,1},{0,10,1},{2,2,338},
{0,8,180},{0,8,180},{0,5,180},{2,3,338},{0,5,180},{9,1,882},{0,25,146},{0,17,2},{0,15,185},{9,1,882},{13,3,882},{0,15,185},{0,12,884},{13,3,882},{0,12,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,36,884},{0,29,90},{0,19,37},{0,17,130},{0,25,2899},{0,19,1764},{0,16,733},
{0,11,1853},{0,13,3325},{0,11,2109},{0,36,884},{0,29,90},{0,19,37},{0,17,130},{7,1,2899},{0,19,1764},{0,16,733},{0,11,1853},{12,0,2899},{0,11,1853},{0,23,0},{0,23,0},{0,23,0},{0,14,1},{0,11,580},{0,11,305},{0,11,305},{0,6,325},{0,6,667},{0,5,389},{0,23,0},{0,23,0},{0,23,0},{0,14,1},{2,5,578},{0,11,305},{0,11,305},{0,6,325},{5,1,578},
{0,6,325},{10,3,882},{0,29,90},{1,19,2},{0,17,130},{10,3,882},{18,0,882},{0,17,130},{0,14,884},{18,0,882},{0,14,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,42,918},{0,32,81},{1,21,105},{0,20,109},{0,29,3051},{0,21,1707},{0,19,569},{0,13,1800},{0,16,3672},{0,13,2161},{1,38,888},
{0,32,81},{1,21,41},{0,20,109},{8,2,3048},{0,21,1707},{0,19,569},{0,13,1800},{12,3,3048},{0,13,1800},{0,28,36},{0,28,36},{0,28,36},{0,17,37},{0,16,648},{0,13,269},{0,13,269},{0,9,292},{0,8,824},{0,7,417},{1,25,4},{1,25,4},{1,25,4},{1,16,5},{3,6,648},{0,13,269},{0,13,269},{0,9,292},{8,0,648},{0,9,292},{12,1,882},{0,32,45},{2,21,2},
{0,20,73},{12,1,882},{19,2,882},{0,20,73},{0,16,890},{19,2,882},{0,16,890},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,10},{0,2,10},{1,44,997},{1,34,154},{1,24,229},{1,22,178},{0,35,3048},{0,25,1528},{0,21,324},{0,16,1605},{0,19,3907},{0,15,2138},{2,41,883},{2,32,86},{2,24,42},{1,22,114},{9,5,3048},
{0,25,1528},{0,21,324},{0,16,1605},{15,3,3048},{0,16,1605},{1,31,113},{1,31,113},{1,31,113},{1,19,113},{0,22,648},{0,17,164},{0,17,164},{0,11,193},{0,11,976},{0,9,443},{2,27,2},{2,27,2},{2,27,2},{2,18,1},{6,2,648},{0,17,164},{0,17,164},{0,11,193},{11,0,648},{0,11,193},{13,4,882},{0,36,13},{3,23,4},{0,22,32},{13,4,882},{22,2,882},{0,22,32},
{0,18,884},{22,2,882},{0,18,884},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,10,0},{0,10,0},{0,10,0},{0,6,0},{0,5,58},{0,5,58},{1,49,1173},{1,38,302},{2,26,421},{1,24,321},{0,40,3051},{0,29,1380},{0,23,186},{0,18,1464},{0,21,4201},{0,17,2149},{3,43,883},{3,34,86},{3,26,42},{2,24,114},{12,0,3048},{0,29,1380},{0,23,186},{0,18,1464},{20,0,3048},
{0,18,1464},{1,36,289},{1,36,289},{1,36,289},{1,22,290},{0,27,650},{0,21,100},{0,21,100},{0,13,130},{0,14,1161},{0,13,491},{3,29,2},{3,29,2},{3,29,2},{3,20,1},{8,0,648},{0,21,100},{0,21,100},{0,13,130},{11,3,648},{0,13,130},{14,6,882},{0,40,1},{4,25,1},{0,25,16},{14,6,882},{26,0,882},{0,25,16},{0,20,884},{26,0,882},{0,20,884},{1,0,289},
{1,0,289},{1,0,289},{1,0,289},{0,15,1},{0,15,1},{0,15,1},{0,9,1},{0,7,136},{0,7,136},{2,51,1365},{2,40,494},{2,28,722},{2,26,513},{0,46,3048},{0,32,1269},{0,27,82},{0,20,1341},{0,25,4525},{0,19,2197},{4,45,886},{3,38,90},{4,28,36},{3,26,114},{13,2,3048},{0,32,1269},{0,27,82},{0,20,1341},{21,2,3048},{0,20,1341},{2,38,481},{2,38,481},{2,38,481},
{2,24,482},{0,32,650},{0,25,52},{0,25,52},{0,15,85},{0,17,1345},{0,15,569},{4,31,4},{4,31,4},{4,31,4},{4,22,5},{9,2,648},{0,25,52},{0,25,52},{0,15,85},{16,0,648},{0,15,85},{16,4,882},{1,42,1},{5,27,1},{0,27,1},{16,4,882},{27,2,882},{0,27,1},{0,22,884},{27,2,882},{0,22,884},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,21,0},
{0,21,0},{0,21,0},{0,12,1},{0,9,250},{0,9,250},{2,57,1667},{2,44,786},{3,30,1042},{2,29,801},{0,51,3048},{0,36,1157},{0,29,20},{0,22,1236},{0,27,4891},{0,21,2281},{5,47,886},{4,41,86},{5,30,36},{4,28,116},{14,4,3048},{0,36,1157},{0,29,20},{0,22,1236},{25,0,3048},{0,22,1236},{2,43,785},{2,43,785},{2,43,785},{2,27,786},{0,38,648},{0,29,20},{0,29,20},
{0,18,40},{0,19,1594},{0,16,677},{5,33,4},{5,33,4},{5,33,4},{5,24,5},{11,1,648},{0,29,20},{0,29,20},{0,18,40},{17,2,648},{0,18,40},{17,6,882},{2,44,1},{6,29,1},{1,29,1},{17,6,882},{28,4,882},{1,29,1},{0,24,884},{28,4,882},{0,24,884},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{0,26,0},{0,26,0},{0,26,0},{0,16,1},{0,11,400},
{0,11,400},{3,59,1784},{3,46,901},{4,32,1195},{3,31,910},{1,53,3055},{0,40,1094},{1,31,23},{0,25,1175},{0,31,4840},{0,23,2054},{6,49,883},{6,41,81},{6,32,42},{5,30,123},{14,10,3048},{0,40,1058},{1,31,19},{0,25,1139},{28,0,3048},{0,25,1139},{3,46,900},{3,46,900},{3,46,900},{3,30,900},{1,40,654},{1,31,22},{1,31,22},{1,20,38},{0,23,1560},{0,19,533},{6,35,2},
{6,35,2},{6,35,2},{6,26,1},{13,0,648},{0,33,5},{0,33,5},{0,20,13},{20,2,648},{0,20,13},{19,5,882},{3,46,1},{7,31,5},{2,31,1},{19,5,882},{31,4,882},{2,31,1},{0,26,882},{31,4,882},{0,26,882},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{1,29,4},{1,29,4},{1,29,4},{1,18,4},{0,15,377},{0,15,377},{4,61,1772},{4,48,891},{5,34,1195},
{4,33,906},{2,55,3055},{1,42,1094},{2,33,29},{1,27,1175},{0,34,4609},{0,26,1716},{7,51,883},{7,43,81},{7,34,42},{6,32,114},{18,1,3048},{0,44,990},{2,33,25},{0,27,1058},{29,2,3048},{0,27,1058},{4,47,891},{4,47,891},{4,47,891},{4,32,891},{2,42,654},{2,33,29},{2,33,29},{2,22,38},{0,27,1396},{0,21,347},{7,37,2},{7,37,2},{7,37,2},{7,28,1},{14,2,648},
{0,37,1},{0,37,1},{0,23,5},{24,0,648},{0,23,5},{22,0,882},{4,48,1},{8,33,1},{3,33,0},{22,0,882},{31,7,882},{3,33,0},{0,28,882},{31,7,882},{0,28,882},{4,0,890},{4,0,890},{4,0,890},{4,0,890},{2,31,4},{2,31,4},{2,31,4},{2,20,4},{0,19,260},{0,19,260},{5,63,1772},{5,50,891},{6,36,1195},{5,35,906},{3,57,3055},{2,44,1094},{3,35,29},
{2,29,1175},{0,38,4381},{0,29,1436},{8,53,886},{7,47,89},{8,36,36},{7,34,114},{19,3,3048},{0,47,949},{3,35,25},{0,29,995},{30,4,3048},{0,29,995},{5,49,890},{5,49,890},{5,49,890},{5,33,891},{3,44,654},{3,35,29},{3,35,29},{3,24,38},{0,29,1251},{0,24,221},{8,39,4},{8,39,4},{8,39,4},{8,30,4},{16,0,648},{1,39,1},{1,39,1},{0,25,2},{26,1,648},
{0,25,2},{23,2,882},{5,50,1},{9,35,1},{4,35,1},{23,2,882},{28,14,882},{4,35,1},{0,30,882},{28,14,882},{0,30,882},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{3,32,5},{3,32,5},{3,32,5},{3,22,4},{0,23,180},{0,23,180},{6,63,1790},{6,52,891},{7,38,1195},{6,37,906},{4,59,3057},{3,46,1094},{4,37,29},{3,31,1175},{0,42,4185},{0,31,1206},{9,55,886},
{8,49,86},{9,38,36},{8,36,116},{20,5,3048},{0,51,907},{4,37,20},{0,31,950},{31,6,3048},{0,31,950},{6,51,890},{6,51,890},{6,51,890},{6,35,891},{4,46,657},{4,37,29},{4,37,29},{3,26,49},{0,34,1121},{0,27,117},{9,41,4},{9,41,4},{9,41,4},{9,32,5},{17,2,648},{2,41,1},{2,41,1},{1,27,2},{27,3,648},{1,27,2},{24,4,882},{6,52,1},{10,37,1},
{5,37,1},{24,4,882},{28,17,882},{5,37,1},{0,32,884},{28,17,882},{0,32,884},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{4,34,9},{4,34,9},{4,34,9},{4,24,10},{0,27,116},{0,27,116},{8,63,1844},{7,54,901},{8,40,1188},{7,39,910},{5,62,3052},{4,48,1094},{5,39,23},{4,33,1175},{0,44,3969},{0,33,1039},{10,57,885},{10,49,81},{10,40,35},{9,38,123},{23,1,3048},
{0,55,888},{5,39,19},{0,34,907},{29,12,3048},{0,34,907},{7,54,900},{7,54,900},{7,54,900},{7,38,900},{5,48,654},{5,39,22},{5,39,22},{5,28,45},{0,38,990},{0,29,80},{10,43,2},{10,43,2},{10,43,2},{10,34,1},{19,1,648},{3,43,1},{3,43,1},{3,29,1},{29,4,648},{3,29,1},{27,0,882},{7,54,1},{11,39,5},{6,39,1},{27,0,882},{31,17,882},{6,39,1},
{0,34,882},{31,17,882},{0,34,882},{7,0,900},{7,0,900},{7,0,900},{7,0,900},{5,37,4},{5,37,4},{5,37,4},{5,26,4},{0,31,58},{0,31,58},{9,63,1886},{8,56,892},{9,42,1188},{8,41,900},{6,63,3055},{5,50,1094},{6,41,23},{5,35,1175},{0,49,3804},{0,36,935},{11,59,885},{11,51,81},{11,42,35},{10,40,123},{23,6,3048},{0,58,883},{6,41,19},{0,36,886},{30,14,3048},
{0,36,886},{8,55,891},{8,55,891},{8,55,891},{8,40,891},{6,50,654},{6,41,22},{6,41,22},{6,30,45},{0,40,889},{1,31,80},{11,45,2},{11,45,2},{11,45,2},{11,36,1},{20,3,648},{5,43,2},{5,43,2},{4,31,1},{30,6,648},{4,31,1},{27,5,882},{8,56,2},{12,41,2},{7,41,1},{27,5,882},{31,20,882},{7,41,1},{0,36,882},{31,20,882},{0,36,882},{8,0,890},
{8,0,890},{8,0,890},{8,0,890},{6,39,4},{6,39,4},{6,39,4},{6,28,4},{0,34,25},{0,34,25},{10,63,1964},{9,58,892},{10,44,1188},{9,43,900},{7,63,3100},{6,52,1094},{7,43,23},{6,37,1175},{0,51,3640},{0,38,887},{12,61,886},{11,55,89},{12,44,38},{11,42,123},{26,1,3048},{1,60,883},{7,43,19},{0,38,883},{30,17,3048},{0,38,883},{9,57,891},{9,57,891},{9,57,891},
{9,42,891},{7,52,654},{7,43,22},{7,43,22},{7,32,38},{0,44,801},{2,34,86},{12,47,4},{12,47,4},{12,47,4},{12,38,4},{21,5,648},{6,45,2},{6,45,2},{4,33,2},{31,8,648},{4,33,2},{30,0,882},{9,58,2},{13,43,2},{8,43,1},{30,0,882},{28,27,882},{8,43,1},{0,38,882},{28,27,882},{0,38,882},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{7,41,4},
{7,41,4},{7,41,4},{7,30,4},{0,38,5},{0,38,5},{11,63,2078},{10,60,892},{11,46,1188},{10,45,900},{9,63,3181},{7,54,1094},{8,45,35},{7,39,1175},{0,55,3496},{1,40,887},{13,63,886},{12,56,88},{13,46,38},{12,44,110},{27,3,3048},{2,62,883},{7,46,25},{1,40,883},{31,19,3048},{1,40,883},{10,59,891},{10,59,891},{10,59,891},{10,44,891},{8,54,657},{8,45,34},{8,45,34},
{7,34,49},{0,48,756},{3,36,86},{13,49,4},{13,49,4},{13,49,4},{13,40,4},{24,0,648},{6,49,1},{6,49,1},{5,35,2},{31,11,648},{5,35,2},{31,2,882},{10,60,2},{14,45,2},{9,45,1},{31,2,882},{29,29,882},{9,45,1},{0,40,882},{29,29,882},{0,40,882},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{8,42,9},{8,42,9},{8,42,9},{8,32,10},{0,42,1},
{0,42,1},{12,63,2228},{11,63,902},{12,48,1188},{11,47,908},{10,63,3256},{8,57,1095},{9,47,33},{8,41,1164},{0,59,3364},{2,42,889},{14,63,915},{14,57,90},{14,48,35},{13,47,117},{29,2,3048},{4,63,886},{8,48,25},{3,42,885},{29,25,3048},{3,42,885},{11,62,900},{11,62,900},{11,62,900},{11,46,900},{9,57,652},{9,47,29},{9,47,29},{9,36,45},{0,51,691},{4,37,80},{14,51,2},
{14,51,2},{14,51,2},{14,42,2},{24,6,648},{7,51,1},{7,51,1},{7,37,1},{29,17,648},{7,37,1},{31,8,882},{11,63,2},{15,47,8},{10,47,5},{31,8,882},{31,30,882},{10,47,5},{0,42,884},{31,30,882},{0,42,884},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{9,45,4},{9,45,4},{9,45,4},{9,34,4},{1,44,1},{1,44,1},{13,63,2414},{12,63,907},{13,50,1188},
{12,49,900},{11,63,3391},{9,59,1095},{10,49,23},{9,43,1164},{0,63,3276},{3,44,889},{15,63,981},{15,59,90},{15,50,35},{14,48,123},{31,1,3048},{6,63,906},{10,49,19},{4,44,885},{30,27,3048},{4,44,885},{12,63,891},{12,63,891},{12,63,891},{12,48,891},{10,59,652},{10,49,22},{10,49,22},{10,38,45},{0,55,659},{5,39,80},{15,53,2},{15,53,2},{15,53,2},{15,44,2},{27,1,648},
{9,51,2},{9,51,2},{8,39,1},{30,19,648},{8,39,1},{29,20,882},{12,63,17},{16,49,2},{11,49,1},{29,20,882},{31,33,882},{11,49,1},{0,44,884},{31,33,882},{0,44,884},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{10,47,4},{10,47,4},{10,47,4},{10,36,4},{2,46,1},{2,46,1},{15,63,2606},{13,63,987},{14,52,1188},{13,51,900},{13,63,3517},{10,61,1095},{11,51,23},
{10,45,1164},{1,63,3300},{4,46,892},{17,63,1014},{15,63,94},{16,52,38},{15,50,123},{31,6,3048},{8,63,936},{11,51,19},{5,46,885},{31,29,3048},{5,46,885},{13,63,906},{13,63,906},{13,63,906},{13,50,891},{11,61,652},{11,51,22},{11,51,22},{11,40,45},{0,59,651},{6,41,80},{16,55,4},{16,55,4},{16,55,4},{16,46,5},{28,3,648},{10,53,2},{10,53,2},{9,41,1},{31,21,648},
{9,41,1},{30,22,882},{14,63,37},{17,51,2},{12,51,1},{30,22,882},{28,40,882},{12,51,1},{0,46,884},{28,40,882},{0,46,884},{13,0,890},{13,0,890},{13,0,890},{13,0,890},{11,49,4},{11,49,4},{11,49,4},{11,38,4},{3,48,0},{3,48,0},{16,63,2792},{15,63,1079},{15,54,1188},{14,53,900},{14,63,3652},{11,63,1095},{12,53,35},{11,47,1164},{3,63,3436},{5,48,887},{18,63,1080},
{17,62,102},{17,54,38},{16,52,110},{30,15,3048},{10,63,996},{11,54,25},{5,48,883},{31,32,3048},{5,48,883},{14,63,939},{14,63,939},{14,63,939},{14,52,891},{12,62,657},{12,53,34},{12,53,34},{12,42,50},{1,61,651},{7,43,80},{17,57,4},{17,57,4},{17,57,4},{17,48,4},{29,5,648},{11,55,2},{11,55,2},{10,43,1},{31,24,648},{10,43,1},{31,24,882},{16,63,80},{18,53,2},
{13,53,1},{31,24,882},{29,42,882},{13,53,1},{0,48,882},{29,42,882},{0,48,882},{14,0,890},{14,0,890},{14,0,890},{14,0,890},{12,50,9},{12,50,9},{12,50,9},{12,40,9},{4,50,1},{4,50,1},{17,63,3038},{16,63,1268},{16,57,1186},{15,55,908},{15,63,3879},{12,63,1146},{13,55,33},{12,49,1164},{5,63,3667},{6,50,889},{19,63,1205},{18,63,147},{18,56,41},{17,55,117},{31,17,3048},
{12,63,1110},{12,56,20},{7,50,885},{29,38,3048},{7,50,885},{16,63,979},{16,63,979},{16,63,979},{15,54,900},{13,63,670},{13,55,29},{13,55,29},{13,45,41},{2,63,648},{8,46,81},{18,60,1},{18,60,1},{18,60,1},{18,50,2},{31,4,648},{11,59,4},{11,59,4},{11,45,1},{30,29,648},{11,45,1},{31,30,882},{18,63,146},{19,56,5},{14,55,5},{31,30,882},{31,43,882},{14,55,5},
{0,50,884},{31,43,882},{0,50,884},{15,0,900},{15,0,900},{15,0,900},{15,0,900},{13,53,4},{13,53,4},{13,53,4},{13,42,5},{5,52,1},{5,52,1},{18,63,3308},{17,63,1502},{17,59,1186},{16,57,898},{17,63,4077},{14,63,1230},{14,57,33},{13,51,1164},{8,63,3820},{7,52,889},{21,63,1368},{19,63,261},{19,58,41},{18,57,117},{30,26,3048},{14,63,1226},{13,58,20},{8,52,885},{30,40,3048},
{8,52,885},{17,63,1018},{17,63,1018},{17,63,1018},{16,56,890},{14,63,724},{14,57,29},{14,57,29},{14,47,41},{4,63,665},{9,48,88},{19,62,1},{19,62,1},{19,62,1},{19,52,2},{30,13,648},{12,61,1},{12,61,1},{12,47,1},{31,31,648},{12,47,1},{31,35,882},{20,63,193},{20,58,4},{15,57,5},{31,35,882},{27,51,882},{15,57,5},{0,52,884},{27,51,882},{0,52,884},{16,0,890},
{16,0,890},{16,0,890},{16,0,890},{14,55,4},{14,55,4},{14,55,4},{14,44,5},{6,54,1},{6,54,1},{19,63,3614},{18,63,1804},{18,61,1186},{17,59,898},{18,63,4284},{15,63,1417},{15,59,33},{14,53,1164},{9,63,4036},{8,54,892},{22,63,1494},{20,63,405},{20,60,33},{19,59,117},{31,28,3048},{16,63,1395},{14,60,20},{9,54,885},{31,42,3048},{9,54,885},{18,63,1075},{18,63,1075},{18,63,1075},
{17,58,890},{16,63,787},{15,59,29},{15,59,29},{15,48,45},{6,63,705},{10,49,80},{20,63,5},{20,63,5},{20,63,5},{20,54,5},{31,15,648},{13,63,1},{13,63,1},{13,49,1},{31,34,648},{13,49,1},{31,40,882},{22,63,277},{21,60,4},{16,59,5},{31,40,882},{31,49,882},{16,59,5},{0,54,884},{31,49,882},{0,54,884},{17,0,890},{17,0,890},{17,0,890},{17,0,890},{15,57,4},
{15,57,4},{15,57,4},{15,46,5},{7,56,1},{7,56,1},{20,63,4014},{19,63,2174},{19,63,1186},{18,61,898},{19,63,4545},{17,63,1725},{16,62,39},{15,55,1164},{11,63,4300},{9,56,892},{23,63,1656},{22,63,585},{21,62,33},{20,60,108},{31,33,3048},{18,63,1563},{15,62,20},{10,56,885},{31,45,3048},{10,56,885},{19,63,1150},{19,63,1150},{19,63,1150},{18,60,890},{17,63,841},{16,62,35},{16,62,35},
{16,50,50},{8,63,747},{11,51,80},{21,63,20},{21,63,20},{21,63,20},{21,56,5},{31,20,648},{15,63,5},{15,63,5},{14,51,1},{31,37,648},{14,51,1},{29,52,882},{23,63,397},{22,62,4},{17,61,5},{29,52,882},{28,56,882},{17,61,5},{0,56,884},{28,56,882},{0,56,884},{18,0,890},{18,0,890},{18,0,890},{18,0,890},{16,58,10},{16,58,10},{16,58,10},{16,48,9},{8,58,0},
{8,58,0},{22,63,4123},{21,63,2404},{20,63,1278},{19,63,901},{20,63,4626},{18,63,1849},{17,63,38},{16,57,1006},{14,63,4330},{10,58,771},{24,63,1629},{23,63,715},{22,63,65},{22,62,81},{31,38,2814},{20,63,1505},{17,63,34},{11,58,761},{31,48,2814},{11,58,761},{20,63,1278},{20,63,1278},{20,63,1278},{19,62,901},{18,63,948},{17,63,38},{17,63,38},{17,53,41},{10,63,840},{12,54,81},{22,63,65},
{22,63,65},{22,63,65},{22,59,2},{31,26,648},{17,63,34},{17,63,34},{15,53,1},{30,42,648},{15,53,1},{31,50,761},{25,63,425},{23,63,9},{19,63,1},{31,50,761},{31,55,761},{19,63,1},{0,58,761},{31,55,761},{0,58,761},{19,0,900},{19,0,900},{19,0,900},{19,0,900},{17,61,4},{17,61,4},{17,61,4},{17,50,5},{9,60,2},{9,60,2},{23,63,3735},{22,63,2314},{21,63,1395},
{20,63,899},{22,63,4090},{19,63,1618},{18,63,104},{17,58,678},{15,63,3826},{11,59,507},{25,63,1285},{24,63,609},{23,63,122},{23,62,26},{30,45,2249},{21,63,1186},{19,63,74},{13,59,482},{31,50,2249},{13,59,482},{21,63,1395},{21,63,1395},{21,63,1395},{20,63,899},{19,63,1086},{18,63,104},{18,63,104},{18,55,41},{12,63,969},{13,56,81},{23,63,122},{23,63,122},{23,63,122},{23,61,2},{31,31,648},
{19,63,74},{19,63,74},{16,55,1},{31,44,648},{16,55,1},{31,53,481},{27,63,269},{25,63,0},{21,63,0},{31,53,481},{31,57,481},{21,63,0},{0,59,481},{31,57,481},{0,59,481},{20,0,890},{20,0,890},{20,0,890},{20,0,890},{18,63,4},{18,63,4},{18,63,4},{18,52,5},{10,62,2},{10,62,2},{23,63,3399},{23,63,2260},{22,63,1530},{21,63,954},{23,63,3639},{20,63,1402},{19,63,238},
{18,59,405},{17,63,3443},{13,60,297},{26,63,1009},{25,63,525},{25,63,164},{24,63,5},{29,52,1769},{23,63,918},{21,63,113},{14,60,266},{28,56,1769},{14,60,266},{22,63,1530},{22,63,1530},{22,63,1530},{21,63,954},{21,63,1251},{19,63,238},{19,63,238},{19,57,41},{14,63,1105},{14,58,81},{25,63,164},{25,63,164},{25,63,164},{24,62,5},{31,36,648},{21,63,113},{21,63,113},{17,57,1},{31,47,648},
{17,57,1},{31,55,265},{28,63,145},{27,63,4},{24,63,1},{31,55,265},{30,60,265},{24,63,1},{0,60,265},{30,60,265},{0,60,265},{21,0,890},{21,0,890},{21,0,890},{21,0,890},{19,63,13},{19,63,13},{19,63,13},{19,54,5},{12,62,8},{12,62,8},{24,63,3069},{24,63,2257},{23,63,1683},{23,63,1054},{24,63,3258},{22,63,1330},{21,63,378},{19,61,213},{20,63,3102},{14,61,166},{27,63,801},
{26,63,477},{26,63,221},{25,63,20},{30,52,1374},{24,63,758},{23,63,181},{16,61,114},{28,58,1374},{16,61,114},{23,63,1683},{23,63,1683},{23,63,1683},{23,63,1054},{22,63,1401},{21,63,378},{21,63,378},{19,59,46},{16,63,1296},{15,60,81},{26,63,221},{26,63,221},{26,63,221},{25,63,20},{30,45,648},{23,63,181},{23,63,181},{18,59,1},{31,50,648},{18,59,1},{31,58,113},{29,63,61},{28,63,0},
{26,63,1},{31,58,113},{31,60,113},{26,63,1},{0,61,113},{31,60,113},{0,61,113},{22,0,890},{22,0,890},{22,0,890},{22,0,890},{20,63,45},{20,63,45},{20,63,45},{20,56,10},{13,63,25},{13,63,25},{25,63,2860},{25,63,2260},{24,63,1854},{24,63,1210},{25,63,2932},{23,63,1310},{22,63,609},{20,62,81},{21,63,2731},{16,62,94},{28,63,630},{27,63,475},{27,63,306},{26,63,101},{30,56,1032},
{26,63,612},{25,63,290},{18,62,21},{30,58,1032},{18,62,21},{24,63,1854},{24,63,1854},{24,63,1854},{24,63,1210},{23,63,1620},{22,63,609},{22,63,609},{21,61,44},{18,63,1515},{16,62,78},{27,63,306},{27,63,306},{27,63,306},{26,63,101},{29,54,648},{25,63,290},{25,63,290},{19,61,5},{29,56,648},{19,61,5},{31,61,18},{30,63,10},{30,63,1},{29,63,0},{31,61,18},{31,62,18},{29,63,0},
{0,62,20},{31,62,18},{0,62,20},{23,0,900},{23,0,900},{23,0,900},{23,0,900},{21,63,104},{21,63,104},{21,63,104},{21,59,5},{15,63,65},{15,63,65},{26,63,2626},{26,63,2206},{25,63,1915},{25,63,1315},{26,63,2641},{24,63,1333},{23,63,789},{22,63,40},{22,63,2445},{17,63,116},{29,63,524},{28,63,406},{28,63,325},{27,63,170},{31,56,771},{27,63,507},{26,63,320},{20,63,0},{30,60,771},
{20,63,0},{25,63,1915},{25,63,1915},{25,63,1915},{25,63,1315},{24,63,1661},{23,63,789},{23,63,789},{22,62,29},{20,63,1517},{17,63,116},{28,63,325},{28,63,325},{28,63,325},{27,63,170},{31,52,578},{26,63,320},{26,63,320},{20,63,0},{28,60,578},{20,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{23,63,164},{23,63,164},{23,63,164},{22,61,5},{17,63,116},{17,63,116},{27,63,2156},{27,63,1884},{26,63,1630},{26,63,1210},{26,63,2081},{25,63,1108},{24,63,705},{23,63,5},{23,63,1927},{19,63,180},{29,63,300},{29,63,236},{29,63,200},{28,63,85},{31,57,451},{28,63,283},{27,63,194},{23,63,1},{29,62,451},{23,63,1},{26,63,1630},{26,63,1630},{26,63,1630},
{26,63,1210},{25,63,1347},{24,63,705},{24,63,705},{23,63,5},{22,63,1229},{19,63,180},{29,63,200},{29,63,200},{29,63,200},{28,63,85},{30,58,338},{27,63,194},{27,63,194},{23,63,1},{31,58,338},{23,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{24,63,221},
{24,63,221},{24,63,221},{23,63,5},{19,63,180},{19,63,180},{28,63,1782},{27,63,1564},{27,63,1395},{27,63,1123},{27,63,1620},{26,63,937},{25,63,651},{24,63,25},{24,63,1560},{21,63,233},{30,63,150},{30,63,134},{29,63,104},{29,63,40},{31,59,216},{29,63,136},{28,63,90},{25,63,1},{30,62,216},{25,63,1},{27,63,1395},{27,63,1395},{27,63,1395},{27,63,1123},{26,63,1101},{25,63,651},{25,63,651},
{24,63,25},{23,63,998},{21,63,233},{29,63,104},{29,63,104},{29,63,104},{29,63,40},{31,57,162},{28,63,90},{28,63,90},{25,63,1},{29,62,162},{25,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{25,63,290},{25,63,290},{25,63,290},{24,63,25},{21,63,233},
{21,63,233},{0,34,1570},{0,27,400},{0,19,25},{0,16,481},{0,23,3372},{0,17,2355},{0,15,1053},{0,11,2425},{0,13,3753},{0,11,2681},{0,34,1570},{0,27,400},{0,19,25},{0,16,481},{7,0,3371},{0,17,2355},{0,15,1053},{0,11,2425},{10,2,3371},{0,11,2425},{0,16,0},{0,16,0},{0,16,0},{0,10,1},{0,8,288},{0,7,149},{0,7,149},{0,5,160},{0,4,332},{0,4,200},{0,16,0},
{0,16,0},{0,16,0},{0,10,1},{1,5,288},{0,7,149},{0,7,149},{0,5,160},{4,0,288},{0,5,160},{10,1,1568},{0,27,400},{0,19,25},{0,16,481},{10,1,1568},{17,0,1568},{0,16,481},{0,13,1568},{17,0,1568},{0,13,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,40,1568},{0,31,296},{0,22,2},
{0,20,373},{0,27,3968},{0,21,2627},{0,17,1107},{0,13,2720},{0,15,4479},{0,11,3065},{0,40,1568},{0,31,296},{0,22,2},{0,20,373},{7,3,3968},{0,21,2627},{0,17,1107},{0,13,2720},{13,0,3968},{0,13,2720},{0,21,1},{0,21,1},{0,21,1},{0,13,0},{0,11,512},{0,9,269},{0,9,269},{0,5,288},{0,5,593},{0,5,337},{0,21,1},{0,21,1},{0,21,1},{0,13,0},{3,1,512},
{0,9,269},{0,9,269},{0,5,288},{3,3,512},{0,5,288},{11,3,1568},{0,31,296},{0,22,2},{0,20,373},{11,3,1568},{18,2,1568},{0,20,373},{0,15,1568},{18,2,1568},{0,15,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,45,1568},{0,34,221},{0,24,17},{0,22,274},{0,30,4651},{0,23,2924},{0,19,1209},
{0,15,3065},{0,17,5292},{0,13,3465},{0,45,1568},{0,34,221},{0,24,17},{0,22,274},{8,3,4651},{0,23,2924},{0,19,1209},{0,15,3065},{14,1,4651},{0,15,3065},{0,27,0},{0,27,0},{0,27,0},{0,16,0},{0,13,802},{0,12,424},{0,12,424},{0,7,433},{0,7,918},{0,7,533},{0,27,0},{0,27,0},{0,27,0},{0,16,0},{4,0,800},{0,12,424},{0,12,424},{0,7,433},{6,1,800},
{0,7,433},{13,1,1568},{0,34,221},{1,24,2},{0,22,274},{13,1,1568},{19,4,1568},{0,22,274},{0,17,1570},{19,4,1568},{0,17,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,50,1568},{0,38,145},{0,26,82},{0,24,193},{0,34,5419},{0,25,3275},{0,21,1347},{0,16,3410},{0,17,6220},{0,15,3933},{0,50,1568},
{0,38,145},{1,26,81},{0,24,193},{10,0,5419},{0,25,3275},{0,21,1347},{0,16,3410},{15,2,5419},{0,16,3410},{0,32,0},{0,32,0},{0,32,0},{0,19,0},{0,16,1152},{0,15,605},{0,15,605},{0,9,628},{0,8,1328},{0,7,789},{0,32,0},{0,32,0},{0,32,0},{0,19,0},{3,6,1152},{0,15,605},{0,15,605},{0,9,628},{8,0,1152},{0,9,628},{15,0,1568},{0,38,145},{2,26,2},
{0,24,193},{15,0,1568},{24,1,1568},{0,24,193},{0,19,1570},{24,1,1568},{0,19,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,53,1633},{0,42,166},{1,29,162},{0,26,209},{0,40,5419},{0,29,3012},{0,25,964},{0,18,3152},{0,21,6513},{0,17,3861},{1,53,1569},{1,42,138},{2,28,74},{1,26,186},{11,3,5419},
{0,29,3012},{0,25,964},{0,18,3152},{18,2,5419},{0,18,3152},{1,34,66},{1,34,66},{1,34,66},{1,21,66},{0,22,1152},{0,19,442},{0,19,442},{0,11,493},{0,11,1480},{0,11,749},{1,34,2},{1,34,2},{1,34,2},{1,21,2},{6,2,1152},{0,19,442},{0,19,442},{0,11,493},{11,0,1152},{0,11,493},{16,2,1568},{0,42,85},{3,28,0},{0,26,128},{16,2,1568},{27,1,1568},{0,26,128},
{0,21,1568},{27,1,1568},{0,21,1568},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,6,0},{0,6,0},{0,6,0},{0,4,1},{0,3,20},{0,3,20},{1,58,1713},{1,44,230},{2,31,354},{1,28,273},{0,45,5419},{0,32,2817},{0,27,682},{0,20,2945},{0,25,6853},{0,19,3825},{2,55,1569},{2,44,138},{3,30,74},{2,28,186},{13,1,5419},{0,32,2817},{0,27,682},{0,20,2945},{19,4,5419},
{0,20,2945},{1,40,145},{1,40,145},{1,40,145},{1,25,146},{0,27,1154},{0,23,338},{0,23,338},{0,13,394},{0,14,1665},{0,13,755},{2,36,2},{2,36,2},{2,36,2},{2,23,2},{8,0,1152},{0,23,338},{0,23,338},{0,13,394},{11,3,1152},{0,13,394},{17,4,1568},{0,46,41},{4,30,1},{0,29,80},{17,4,1568},{27,4,1568},{0,29,80},{0,23,1568},{27,4,1568},{0,23,1568},{1,0,145},
{1,0,145},{1,0,145},{1,0,145},{0,11,1},{0,11,1},{0,11,1},{0,7,0},{0,5,74},{0,5,74},{2,60,1905},{1,49,393},{2,33,531},{1,31,433},{0,50,5419},{0,36,2609},{0,29,468},{0,22,2756},{0,27,7195},{0,21,3825},{3,57,1569},{3,46,138},{4,32,81},{3,30,186},{15,0,5419},{0,36,2609},{0,29,468},{0,22,2756},{24,1,5419},{0,22,2756},{2,42,337},{2,42,337},{2,42,337},
{2,27,338},{0,32,1154},{0,25,244},{0,25,244},{0,16,289},{0,17,1849},{0,15,797},{3,38,2},{3,38,2},{3,38,2},{3,25,2},{9,2,1152},{0,25,244},{0,25,244},{0,16,289},{16,0,1152},{0,16,289},{18,6,1568},{0,51,16},{5,32,2},{0,31,41},{18,6,1568},{28,6,1568},{0,31,41},{0,25,1568},{28,6,1568},{0,25,1568},{2,0,337},{2,0,337},{2,0,337},{2,0,337},{0,17,0},
{0,17,0},{0,17,0},{0,10,0},{0,7,164},{0,7,164},{2,63,2145},{2,51,585},{3,35,851},{2,33,618},{0,55,5420},{0,40,2425},{0,32,274},{0,24,2585},{0,29,7609},{0,23,3861},{4,58,1570},{4,47,136},{5,34,81},{4,32,193},{16,1,5419},{0,40,2425},{0,32,274},{0,24,2585},{25,3,5419},{0,24,2585},{2,47,545},{2,47,545},{2,47,545},{2,30,545},{0,38,1152},{0,29,164},{0,29,164},
{0,18,208},{0,19,2098},{0,17,869},{4,40,0},{4,40,0},{4,40,0},{4,27,1},{11,1,1152},{0,29,164},{0,29,164},{0,18,208},{17,2,1152},{0,18,208},{21,1,1568},{0,54,2},{6,34,2},{0,33,13},{21,1,1568},{29,8,1568},{0,33,13},{0,27,1568},{29,8,1568},{0,27,1568},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,22,0},{0,22,0},{0,22,0},{0,13,1},{0,10,289},
{0,10,289},{3,63,2596},{3,53,934},{3,37,1277},{2,35,964},{0,61,5420},{0,44,2242},{0,35,141},{0,28,2402},{0,32,8131},{0,25,3956},{5,61,1569},{5,50,138},{6,36,74},{5,34,186},{17,4,5419},{0,44,2242},{0,35,141},{0,28,2402},{27,4,5419},{0,28,2402},{3,49,901},{3,49,901},{3,49,901},{3,32,900},{0,44,1152},{0,34,97},{0,34,97},{0,20,145},{0,23,2436},{0,19,989},{5,43,1},
{5,43,1},{5,43,1},{5,30,2},{13,0,1152},{0,34,97},{0,34,97},{0,20,145},{20,2,1152},{0,20,145},{23,0,1568},{1,57,2},{7,36,0},{0,36,1},{23,0,1568},{31,9,1568},{0,36,1},{0,29,1570},{31,9,1568},{0,29,1570},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{0,28,0},{0,28,0},{0,28,0},{0,17,1},{0,13,461},{0,13,461},{4,63,3146},{3,57,1262},{4,40,1731},
{3,37,1284},{1,63,5484},{0,46,2129},{0,38,53},{0,30,2243},{0,36,8615},{0,27,4070},{6,63,1569},{6,52,138},{7,38,74},{6,36,186},{18,6,5419},{0,46,2129},{0,38,53},{0,30,2243},{28,6,5419},{0,30,2243},{3,55,1252},{3,55,1252},{3,55,1252},{3,35,1253},{0,49,1152},{0,38,53},{0,38,53},{0,23,89},{0,25,2763},{0,21,1139},{6,45,1},{6,45,1},{6,45,1},{6,32,2},{14,2,1152},
{0,38,53},{0,38,53},{0,23,89},{24,0,1152},{0,23,89},{24,2,1568},{2,59,2},{8,38,1},{1,38,1},{24,2,1568},{27,17,1568},{1,38,1},{0,31,1570},{27,17,1568},{0,31,1570},{3,0,1252},{3,0,1252},{3,0,1252},{3,0,1252},{0,33,0},{0,33,0},{0,33,0},{0,20,0},{0,15,653},{0,15,653},{5,63,3716},{4,58,1599},{4,42,2134},{4,39,1627},{2,63,5655},{0,51,1983},{0,40,33},
{0,32,2133},{0,38,8925},{0,30,4044},{7,63,1587},{7,54,138},{8,40,80},{7,38,186},{21,1,5419},{0,51,1979},{0,40,29},{0,32,2129},{29,8,5419},{0,32,2129},{4,56,1587},{4,56,1587},{4,56,1587},{4,37,1586},{0,54,1156},{0,41,29},{0,41,29},{0,25,54},{0,27,2988},{0,23,1193},{7,47,1},{7,47,1},{7,47,1},{7,33,2},{16,0,1152},{0,41,25},{0,41,25},{0,25,50},{26,1,1152},
{0,25,50},{25,4,1568},{3,61,2},{9,40,1},{2,40,1},{25,4,1568},{28,19,1568},{2,40,1},{0,33,1568},{28,19,1568},{0,33,1568},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{0,38,5},{0,38,5},{0,38,5},{0,23,4},{0,17,754},{0,17,754},{6,63,3890},{5,60,1599},{5,44,2134},{5,41,1627},{3,63,5748},{0,55,1975},{1,42,33},{0,33,2085},{0,42,8569},{0,32,3525},{9,63,1634},
{8,55,136},{9,42,80},{8,40,208},{22,3,5419},{0,55,1875},{1,42,29},{0,33,1985},{30,10,5419},{0,33,1985},{5,58,1587},{5,58,1587},{5,58,1587},{5,39,1586},{1,56,1156},{1,43,29},{1,43,29},{1,27,54},{0,31,2736},{0,25,907},{8,48,0},{8,48,0},{8,48,0},{8,35,1},{17,2,1152},{0,45,5},{0,45,5},{0,28,17},{27,3,1152},{0,28,17},{26,6,1568},{4,62,1},{10,42,1},
{3,42,1},{26,6,1568},{29,21,1568},{3,42,1},{0,35,1568},{29,21,1568},{0,35,1568},{5,0,1586},{5,0,1586},{5,0,1586},{5,0,1586},{1,40,5},{1,40,5},{1,40,5},{1,25,4},{0,21,610},{0,21,610},{7,63,4136},{6,63,1589},{7,46,2141},{6,44,1613},{4,63,5895},{2,55,1973},{2,45,43},{2,35,2100},{0,46,8199},{0,34,3051},{10,63,1667},{9,57,131},{10,45,74},{9,43,195},{24,2,5419},
{0,59,1772},{2,45,34},{0,36,1874},{27,17,5419},{0,36,1874},{6,61,1576},{6,61,1576},{6,61,1576},{6,41,1577},{2,59,1161},{2,46,26},{2,46,26},{2,30,49},{0,36,2505},{0,29,616},{9,51,1},{9,51,1},{9,51,1},{9,38,2},{19,1,1152},{0,49,2},{0,49,2},{0,30,4},{29,4,1152},{0,30,4},{28,5,1568},{6,63,13},{11,44,1},{4,44,1},{28,5,1568},{31,22,1568},{4,44,1},
{0,37,1570},{31,22,1568},{0,37,1570},{6,0,1576},{6,0,1576},{6,0,1576},{6,0,1576},{2,43,9},{2,43,9},{2,43,9},{2,27,10},{0,25,468},{0,25,468},{8,63,4436},{7,63,1625},{7,49,2161},{7,46,1613},{6,63,6079},{3,57,1973},{3,47,43},{3,37,2100},{0,49,7908},{0,37,2671},{11,63,1745},{10,59,131},{11,47,74},{10,45,195},{25,4,5419},{0,61,1699},{3,47,34},{0,38,1787},{28,19,5419},
{0,38,1787},{7,63,1576},{7,63,1576},{7,63,1576},{7,43,1577},{3,61,1161},{3,47,34},{3,47,34},{3,32,59},{0,38,2294},{0,31,422},{10,53,1},{10,53,1},{10,53,1},{10,40,2},{20,3,1152},{2,49,2},{2,49,2},{1,32,2},{30,6,1152},{1,32,2},{31,0,1568},{8,63,34},{12,46,1},{5,46,1},{31,0,1568},{28,29,1568},{5,46,1},{0,39,1570},{28,29,1568},{0,39,1570},{7,0,1576},
{7,0,1576},{7,0,1576},{7,0,1576},{3,45,9},{3,45,9},{3,45,9},{3,29,10},{0,29,356},{0,29,356},{9,63,4730},{8,63,1716},{8,50,2134},{8,47,1627},{7,63,6244},{3,61,1977},{4,48,33},{3,40,2100},{0,53,7620},{0,40,2343},{12,63,1832},{11,61,131},{12,48,80},{11,47,195},{26,6,5419},{1,63,1699},{4,48,29},{0,41,1714},{29,21,5419},{0,41,1714},{8,63,1595},{8,63,1595},{8,63,1595},
{8,45,1587},{4,62,1158},{4,49,29},{4,49,29},{4,33,54},{0,42,2098},{0,34,282},{11,55,1},{11,55,1},{11,55,1},{11,42,2},{21,5,1152},{3,51,2},{3,51,2},{2,34,2},{31,8,1152},{2,34,2},{30,9,1568},{9,63,68},{13,48,1},{6,48,1},{30,9,1568},{29,31,1568},{6,48,1},{0,41,1570},{29,31,1568},{0,41,1570},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{4,47,4},
{4,47,4},{4,47,4},{4,31,5},{0,32,269},{0,32,269},{11,63,5010},{9,63,1878},{9,52,2134},{9,49,1627},{8,63,6508},{4,62,1965},{5,50,33},{4,42,2079},{0,55,7360},{0,42,2067},{14,63,1952},{12,63,149},{13,50,80},{12,48,208},{29,1,5419},{3,63,1787},{5,50,29},{0,43,1651},{30,23,5419},{0,43,1651},{9,63,1622},{9,63,1622},{9,63,1622},{9,47,1587},{5,63,1164},{5,51,29},{5,51,29},
{5,35,54},{0,46,1926},{0,36,186},{12,56,0},{12,56,0},{12,56,0},{12,44,1},{24,0,1152},{3,55,2},{3,55,2},{3,36,2},{31,11,1152},{3,36,2},{31,11,1568},{11,63,116},{14,50,1},{7,50,1},{31,11,1568},{29,34,1568},{7,50,1},{0,43,1570},{29,34,1568},{0,43,1570},{9,0,1586},{9,0,1586},{9,0,1586},{9,0,1586},{5,48,5},{5,48,5},{5,48,5},{5,33,4},{0,36,185},
{0,36,185},{12,63,5316},{11,63,2154},{11,54,2141},{10,52,1613},{10,63,6800},{6,62,1995},{6,53,43},{5,44,2085},{0,59,7068},{0,44,1845},{15,63,2081},{13,63,206},{14,53,74},{13,51,195},{31,0,5419},{5,63,1937},{6,53,34},{0,45,1601},{28,29,5419},{0,45,1601},{10,63,1676},{10,63,1676},{10,63,1676},{10,49,1577},{7,63,1179},{6,54,26},{6,54,26},{6,38,49},{0,49,1764},{0,40,149},{13,59,1},
{13,59,1},{13,59,1},{13,46,1},{24,6,1152},{4,57,1},{4,57,1},{4,38,4},{29,17,1152},{4,38,4},{30,20,1568},{13,63,205},{15,52,1},{8,52,1},{30,20,1568},{31,35,1568},{8,52,1},{0,45,1576},{31,35,1568},{0,45,1576},{10,0,1576},{10,0,1576},{10,0,1576},{10,0,1576},{6,51,9},{6,51,9},{6,51,9},{6,35,10},{0,40,113},{0,40,113},{13,63,5658},{12,63,2435},{12,56,2148},
{11,54,1613},{11,63,7055},{7,63,2090},{7,55,43},{6,46,2085},{0,63,6820},{0,47,1701},{16,63,2216},{14,63,334},{15,55,74},{14,53,195},{30,9,5419},{7,63,2081},{7,55,34},{0,47,1580},{29,31,5419},{0,47,1580},{11,63,1745},{11,63,1745},{11,63,1745},{11,51,1577},{8,63,1220},{7,56,26},{7,56,26},{7,40,49},{0,53,1624},{0,42,145},{14,61,1},{14,61,1},{14,61,1},{14,48,2},{27,1,1152},
{5,59,1},{5,59,1},{5,40,4},{30,19,1152},{5,40,4},{31,22,1568},{15,63,289},{16,54,1},{9,54,1},{31,22,1568},{28,42,1568},{9,54,1},{0,47,1576},{28,42,1568},{0,47,1576},{11,0,1576},{11,0,1576},{11,0,1576},{11,0,1576},{7,53,9},{7,53,9},{7,53,9},{7,37,10},{0,44,61},{0,44,61},{14,63,6036},{13,63,2751},{12,58,2119},{12,55,1627},{12,63,7316},{8,63,2228},{8,57,31},
{7,48,2100},{0,63,6884},{0,49,1606},{17,63,2402},{16,63,500},{16,57,82},{15,55,195},{31,11,5419},{9,63,2195},{8,57,27},{0,49,1570},{29,34,5419},{0,49,1570},{12,63,1811},{12,63,1811},{12,63,1811},{12,53,1587},{9,63,1286},{8,57,22},{8,57,22},{8,41,56},{0,57,1508},{1,44,145},{15,63,1},{15,63,1},{15,63,1},{15,50,2},{28,3,1152},{6,61,1},{6,61,1},{6,42,4},{31,21,1152},
{6,42,4},{31,27,1568},{17,63,410},{17,56,1},{10,56,1},{31,27,1568},{29,44,1568},{10,56,1},{0,49,1570},{29,44,1568},{0,49,1570},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{8,55,4},{8,55,4},{8,55,4},{8,39,5},{0,48,34},{0,48,34},{15,63,6450},{14,63,3135},{13,60,2119},{13,57,1627},{13,63,7661},{10,63,2448},{9,59,31},{8,50,2079},{2,63,7196},{0,51,1580},{19,63,2594},
{17,63,698},{16,59,73},{16,57,194},{31,16,5419},{11,63,2379},{9,59,27},{1,51,1570},{30,36,5419},{1,51,1570},{13,63,1910},{13,63,1910},{13,63,1910},{13,55,1587},{10,63,1388},{9,59,22},{9,59,22},{9,43,56},{0,61,1416},{2,46,145},{16,63,4},{16,63,4},{16,63,4},{16,52,1},{29,5,1152},{7,63,1},{7,63,1},{7,44,4},{31,24,1152},{7,44,4},{31,32,1568},{19,63,530},{18,58,1},
{11,58,1},{31,32,1568},{30,46,1568},{11,58,1},{0,51,1570},{30,46,1568},{0,51,1570},{13,0,1586},{13,0,1586},{13,0,1586},{13,0,1586},{9,57,4},{9,57,4},{9,57,4},{9,41,5},{0,51,10},{0,51,10},{16,63,6900},{15,63,3657},{15,62,2128},{14,60,1616},{15,63,8023},{11,63,2845},{10,61,33},{9,52,2085},{5,63,7651},{1,54,1584},{20,63,2866},{18,63,1011},{18,61,69},{17,59,181},{31,22,5419},
{13,63,2657},{10,61,24},{2,53,1577},{28,42,5419},{2,53,1577},{15,63,2057},{15,63,2057},{15,63,2057},{14,58,1577},{12,63,1476},{10,61,29},{10,61,29},{10,46,54},{0,63,1324},{4,47,137},{17,63,37},{17,63,37},{17,63,37},{17,54,1},{31,4,1152},{9,63,4},{9,63,4},{7,47,2},{30,29,1152},{7,47,2},{31,38,1568},{21,63,637},{19,60,5},{12,60,4},{31,38,1568},{31,48,1568},{12,60,4},
{0,53,1576},{31,48,1568},{0,53,1576},{14,0,1576},{14,0,1576},{14,0,1576},{14,0,1576},{10,59,10},{10,59,10},{10,59,10},{10,44,10},{0,56,0},{0,56,0},{18,63,7332},{16,63,4196},{16,63,2175},{15,62,1616},{16,63,8348},{13,63,3285},{11,63,33},{10,54,2085},{8,63,8004},{2,56,1584},{21,63,3112},{20,63,1281},{19,63,69},{18,61,181},{31,27,5419},{15,63,2897},{11,63,24},{3,55,1577},{29,44,5419},
{3,55,1577},{16,63,2171},{16,63,2171},{16,63,2171},{15,60,1577},{13,63,1590},{11,63,29},{11,63,29},{11,48,49},{2,63,1424},{4,50,145},{19,63,65},{19,63,65},{19,63,65},{18,56,1},{30,13,1152},{11,63,20},{11,63,20},{9,48,4},{31,31,1152},{9,48,4},{30,47,1568},{23,63,785},{20,62,4},{13,62,4},{30,47,1568},{31,51,1568},{13,62,4},{0,55,1576},{31,51,1568},{0,55,1576},{15,0,1576},
{15,0,1576},{15,0,1576},{15,0,1576},{11,61,10},{11,61,10},{11,61,10},{11,46,10},{1,58,0},{1,58,0},{19,63,7014},{17,63,4230},{17,63,2294},{16,63,1595},{17,63,7865},{14,63,3114},{12,63,85},{12,55,1713},{8,63,7436},{3,57,1268},{22,63,2794},{21,63,1221},{20,63,113},{19,61,114},{31,31,4803},{17,63,2648},{13,63,61},{4,57,1253},{31,44,4803},{4,57,1253},{17,63,2294},{17,63,2294},{17,63,2294},
{16,62,1587},{14,63,1740},{12,63,85},{12,63,85},{12,49,56},{3,63,1571},{5,52,145},{20,63,113},{20,63,113},{20,63,113},{19,58,1},{31,15,1152},{13,63,61},{13,63,61},{10,50,4},{31,34,1152},{10,50,4},{31,47,1250},{24,63,680},{21,63,4},{15,63,0},{31,47,1250},{31,53,1250},{15,63,0},{0,57,1252},{31,53,1250},{0,57,1252},{16,0,1586},{16,0,1586},{16,0,1586},{16,0,1586},{12,63,4},
{12,63,4},{12,63,4},{12,47,8},{2,60,0},{2,60,0},{19,63,6534},{18,63,4116},{18,63,2435},{17,63,1590},{18,63,7164},{15,63,2809},{14,63,161},{12,57,1256},{10,63,6748},{5,58,909},{23,63,2340},{22,63,1065},{21,63,164},{20,62,41},{31,34,4056},{18,63,2211},{15,63,113},{6,58,884},{31,46,4056},{6,58,884},{18,63,2435},{18,63,2435},{18,63,2435},{17,63,1590},{16,63,1923},{14,63,161},{14,63,161},
{13,51,56},{6,63,1729},{6,54,145},{21,63,164},{21,63,164},{21,63,164},{20,60,0},{31,20,1152},{15,63,113},{15,63,113},{11,52,4},{31,37,1152},{11,52,4},{31,49,882},{25,63,482},{23,63,0},{18,63,1},{31,49,882},{30,56,882},{18,63,1},{0,58,884},{30,56,882},{0,58,884},{17,0,1586},{17,0,1586},{17,0,1586},{17,0,1586},{13,63,13},{13,63,13},{13,63,13},{13,49,5},{3,62,0},
{3,62,0},{21,63,6091},{20,63,4022},{19,63,2609},{18,63,1640},{19,63,6490},{16,63,2617},{15,63,318},{14,58,834},{11,63,6135},{6,59,598},{24,63,1881},{23,63,931},{22,63,245},{21,63,5},{31,38,3318},{20,63,1733},{17,63,202},{8,59,545},{31,48,3318},{8,59,545},{19,63,2609},{19,63,2609},{19,63,2609},{18,63,1640},{17,63,2086},{15,63,318},{15,63,318},{14,54,54},{8,63,1868},{8,55,137},{22,63,245},
{22,63,245},{22,63,245},{21,62,2},{31,26,1152},{17,63,202},{17,63,202},{11,55,2},{30,42,1152},{11,55,2},{31,52,545},{26,63,305},{25,63,4},{20,63,1},{31,52,545},{30,58,545},{20,63,1},{0,59,545},{30,58,545},{0,59,545},{18,0,1576},{18,0,1576},{18,0,1576},{18,0,1576},{15,63,29},{15,63,29},{15,63,29},{14,52,10},{5,62,5},{5,62,5},{22,63,5719},{21,63,3980},{20,63,2834},
{19,63,1745},{20,63,6050},{18,63,2457},{16,63,536},{15,59,515},{14,63,5674},{8,60,385},{25,63,1573},{24,63,861},{23,63,338},{22,63,10},{30,45,2753},{21,63,1438},{19,63,290},{10,60,313},{31,50,2753},{10,60,313},{20,63,2834},{20,63,2834},{20,63,2834},{19,63,1745},{18,63,2284},{16,63,536},{16,63,536},{15,56,54},{10,63,2064},{9,57,137},{23,63,338},{23,63,338},{23,63,338},{22,63,10},{31,31,1152},
{19,63,290},{19,63,290},{12,57,2},{31,44,1152},{12,57,2},{31,55,313},{28,63,181},{26,63,1},{23,63,0},{31,55,313},{31,58,313},{23,63,0},{0,60,313},{31,58,313},{0,60,313},{19,0,1576},{19,0,1576},{19,0,1576},{19,0,1576},{16,63,52},{16,63,52},{16,63,52},{15,54,10},{7,62,25},{7,62,25},{22,63,5399},{22,63,3974},{21,63,3035},{20,63,1875},{21,63,5619},{19,63,2378},{18,63,776},
{16,60,294},{15,63,5258},{9,61,225},{26,63,1333},{25,63,813},{24,63,425},{23,63,65},{29,52,2273},{23,63,1218},{20,63,353},{12,61,146},{28,56,2273},{12,61,146},{21,63,3035},{21,63,3035},{21,63,3035},{20,63,1875},{19,63,2518},{18,63,776},{18,63,776},{16,58,49},{11,63,2323},{10,59,137},{24,63,425},{24,63,425},{24,63,425},{23,63,65},{31,36,1152},{20,63,353},{20,63,353},{13,59,2},{31,47,1152},
{13,59,2},{31,57,145},{28,63,85},{28,63,4},{26,63,1},{31,57,145},{31,60,145},{26,63,1},{0,61,145},{31,60,145},{0,61,145},{20,0,1586},{20,0,1586},{20,0,1586},{20,0,1586},{17,63,85},{17,63,85},{17,63,85},{16,56,5},{8,63,40},{8,63,40},{23,63,5143},{23,63,4004},{22,63,3254},{21,63,2070},{22,63,5274},{20,63,2310},{19,63,1062},{17,61,133},{17,63,5011},{10,63,161},{27,63,1161},
{26,63,801},{26,63,545},{25,63,164},{30,52,1878},{24,63,1094},{22,63,461},{13,62,42},{28,58,1878},{13,62,42},{22,63,3254},{22,63,3254},{22,63,3254},{21,63,2070},{20,63,2833},{19,63,1062},{19,63,1062},{17,60,49},{14,63,2577},{11,61,137},{26,63,545},{26,63,545},{26,63,545},{25,63,164},{30,45,1152},{22,63,461},{22,63,461},{14,61,2},{31,50,1152},{14,61,2},{31,60,41},{30,63,25},{29,63,1},
{28,63,0},{31,60,41},{31,61,41},{28,63,0},{0,62,41},{31,61,41},{0,62,41},{21,0,1586},{21,0,1586},{21,0,1586},{21,0,1586},{18,63,136},{18,63,136},{18,63,136},{17,58,5},{10,63,80},{10,63,80},{24,63,4882},{24,63,4070},{23,63,3532},{22,63,2360},{24,63,4945},{21,63,2422},{20,63,1433},{18,63,58},{20,63,4717},{12,63,157},{28,63,1026},{27,63,835},{27,63,666},{26,63,305},{30,56,1536},
{26,63,996},{24,63,628},{16,63,1},{30,58,1536},{16,63,1},{23,63,3532},{23,63,3532},{23,63,3532},{22,63,2360},{22,63,3110},{20,63,1433},{20,63,1433},{18,62,50},{16,63,2939},{12,63,157},{27,63,666},{27,63,666},{27,63,666},{26,63,305},{29,54,1152},{24,63,628},{24,63,628},{16,63,1},{29,56,1152},{16,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},
{0,63,0},{31,63,0},{0,63,0},{22,0,1576},{22,0,1576},{22,0,1576},{22,0,1576},{19,63,221},{19,63,221},{19,63,221},{18,60,9},{12,63,157},{12,63,157},{25,63,4212},{24,63,3590},{24,63,3106},{23,63,2201},{24,63,4129},{22,63,2101},{21,63,1301},{19,63,13},{20,63,3869},{14,63,233},{28,63,706},{28,63,562},{28,63,481},{27,63,218},{30,58,1067},{27,63,699},{25,63,442},{18,63,1},{31,58,1067},
{18,63,1},{24,63,3106},{24,63,3106},{24,63,3106},{23,63,2201},{23,63,2668},{21,63,1301},{21,63,1301},{19,63,13},{18,63,2523},{14,63,233},{28,63,481},{28,63,481},{28,63,481},{27,63,218},{31,50,800},{25,63,442},{25,63,442},{18,63,1},{31,55,800},{18,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{23,0,1576},
{23,0,1576},{23,0,1576},{23,0,1576},{20,63,325},{20,63,325},{20,63,325},{19,62,9},{14,63,233},{14,63,233},{26,63,3642},{25,63,3132},{25,63,2771},{24,63,2070},{25,63,3444},{23,63,1834},{22,63,1205},{20,63,8},{21,63,3219},{16,63,346},{29,63,456},{28,63,370},{28,63,289},{28,63,145},{31,56,683},{28,63,451},{27,63,290},{21,63,1},{30,60,683},{21,63,1},{25,63,2771},{25,63,2771},{25,63,2771},
{24,63,2070},{24,63,2273},{22,63,1205},{22,63,1205},{20,63,8},{20,63,2121},{16,63,346},{28,63,289},{28,63,289},{28,63,289},{28,63,145},{30,56,512},{27,63,290},{27,63,290},{21,63,1},{30,58,512},{21,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{24,0,1586},{24,0,1586},{24,0,1586},{24,0,1586},{22,63,421},
{22,63,421},{22,63,421},{20,63,8},{16,63,346},{16,63,346},{26,63,3162},{26,63,2742},{26,63,2486},{25,63,1947},{26,63,2877},{24,63,1641},{23,63,1145},{22,63,52},{22,63,2673},{18,63,458},{29,63,264},{29,63,200},{29,63,164},{28,63,81},{31,58,384},{28,63,243},{28,63,162},{23,63,1},{31,60,384},{23,63,1},{26,63,2486},{26,63,2486},{26,63,2486},{25,63,1947},{24,63,1969},{23,63,1145},{23,63,1145},
{22,63,52},{20,63,1785},{18,63,458},{29,63,164},{29,63,164},{29,63,164},{28,63,81},{31,55,288},{28,63,162},{28,63,162},{23,63,1},{28,62,288},{23,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{25,0,1586},{25,0,1586},{25,0,1586},{25,0,1586},{23,63,520},{23,63,520},{23,63,520},{22,63,52},{18,63,458},
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{0,22,0},{0,22,0},{0,13,1},{3,1,545},{0,10,289},{0,10,289},{0,6,306},{5,1,545},{0,6,306},{13,2,2665},{0,36,666},{0,26,37},{0,22,773},{13,2,2665},{23,0,2665},{0,22,773},{0,17,2665},{23,0,2665},{0,17,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,51,2665},{0,40,530},{0,28,2},
{0,24,650},{0,34,6670},{0,27,4445},{0,23,1886},{0,16,4577},{0,19,7493},{0,15,5130},{0,51,2665},{0,40,530},{0,28,2},{0,24,650},{10,1,6669},{0,27,4445},{0,23,1886},{0,16,4577},{17,0,6669},{0,16,4577},{0,27,1},{0,27,1},{0,27,1},{0,16,1},{0,14,841},{0,13,442},{0,13,442},{0,7,458},{0,7,965},{0,7,558},{0,27,1},{0,27,1},{0,27,1},{0,16,1},{4,0,841},
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{0,18,5002},{0,21,8547},{0,16,5681},{0,56,2665},{0,44,410},{0,30,17},{0,28,522},{11,1,7538},{0,29,4826},{0,25,2006},{0,18,5002},{17,2,7538},{0,18,5002},{0,32,1},{0,32,1},{0,32,1},{0,19,1},{0,16,1201},{0,15,628},{0,15,628},{0,9,653},{0,9,1382},{0,9,822},{0,32,1},{0,32,1},{0,32,1},{0,19,1},{5,0,1201},{0,15,628},{0,15,628},{0,9,653},{8,0,1201},
{0,9,653},{16,2,2665},{0,44,410},{1,30,2},{0,28,522},{16,2,2665},{28,0,2665},{0,28,522},{0,21,2665},{28,0,2665},{0,21,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,62,2665},{0,49,325},{0,33,65},{0,30,405},{0,41,8493},{0,31,5261},{0,27,2162},{0,20,5477},{0,23,9705},{0,18,6259},{0,62,2665},
{0,49,325},{0,33,65},{0,30,405},{11,4,8493},{0,31,5261},{0,27,2162},{0,20,5477},{17,4,8493},{0,20,5477},{0,38,0},{0,38,0},{0,38,0},{0,23,1},{0,19,1625},{0,17,821},{0,17,821},{0,11,898},{0,10,1874},{0,9,1094},{0,38,0},{0,38,0},{0,38,0},{0,23,1},{5,2,1625},{0,17,821},{0,17,821},{0,11,898},{8,2,1625},{0,11,898},{18,1,2665},{0,49,325},{2,32,1},
{0,30,405},{18,1,2665},{29,2,2665},{0,30,405},{0,23,2665},{29,2,2665},{0,23,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,63,2777},{0,51,221},{0,35,178},{0,32,306},{0,45,9669},{0,34,5810},{0,29,2382},{0,22,6054},{0,25,11123},{0,20,6989},{1,63,2741},{0,51,221},{1,35,137},{0,32,306},{13,1,9669},
{0,34,5810},{0,29,2382},{0,22,6054},{19,4,9669},{0,22,6054},{0,44,0},{0,44,0},{0,44,0},{0,26,1},{0,22,2178},{0,19,1108},{0,19,1108},{0,11,1213},{0,11,2506},{0,11,1469},{0,44,0},{0,44,0},{0,44,0},{0,26,1},{6,2,2178},{0,19,1108},{0,19,1108},{0,11,1213},{11,0,2178},{0,11,1213},{20,0,2665},{0,51,221},{3,34,1},{0,32,306},{20,0,2665},{31,3,2665},{0,32,306},
{0,25,2669},{31,3,2665},{0,25,2669},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,63,2949},{0,55,209},{1,37,242},{0,35,285},{0,50,9669},{0,38,5486},{0,32,1938},{0,24,5733},{0,27,11477},{0,22,6887},{2,63,2789},{0,55,209},{2,37,137},{0,35,285},{15,0,9669},{0,38,5486},{0,32,1938},{0,24,5733},{24,1,9669},
{0,24,5733},{1,46,64},{1,46,64},{1,46,64},{1,28,65},{0,27,2180},{0,23,932},{0,23,932},{0,15,1037},{0,14,2691},{0,13,1421},{1,46,0},{1,46,0},{1,46,0},{1,28,1},{8,0,2178},{0,23,932},{0,23,932},{0,15,1037},{11,3,2178},{0,15,1037},{21,2,2665},{0,55,145},{4,36,2},{0,35,221},{21,2,2665},{31,6,2665},{0,35,221},{0,27,2669},{31,6,2665},{0,27,2669},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,5,1},{0,5,1},{0,5,1},{0,3,1},{0,3,17},{0,3,17},{2,63,3285},{1,57,273},{2,39,434},{1,37,349},{0,56,9670},{0,42,5186},{0,34,1530},{0,26,5430},{0,29,11903},{0,24,6821},{3,63,2873},{1,57,209},{3,39,137},{1,37,285},{16,1,9669},{0,42,5186},{0,34,1530},{0,26,5430},{25,3,9669},{0,26,5430},{1,51,128},{1,51,128},{1,51,128},
{1,31,129},{0,32,2180},{0,27,772},{0,27,772},{0,16,865},{0,17,2875},{0,15,1409},{2,47,1},{2,47,1},{2,47,1},{2,30,1},{9,2,2178},{0,27,772},{0,27,772},{0,16,865},{16,0,2178},{0,16,865},{23,0,2665},{0,59,85},{5,38,2},{0,37,146},{23,0,2665},{31,9,2665},{0,37,146},{0,29,2669},{31,9,2665},{0,29,2669},{1,0,128},{1,0,128},{1,0,128},{1,0,128},{0,11,0},
{0,11,0},{0,11,0},{0,6,1},{0,5,65},{0,5,65},{3,63,3785},{1,61,405},{2,41,653},{1,39,466},{0,61,9669},{0,44,4909},{0,36,1190},{0,28,5145},{0,32,12358},{0,26,6791},{4,63,2966},{2,59,209},{4,41,154},{2,39,285},{18,0,9669},{0,44,4909},{0,36,1190},{0,28,5145},{30,0,9669},{0,28,5145},{2,53,320},{2,53,320},{2,53,320},{2,33,321},{0,38,2178},{0,31,628},{0,31,628},
{0,18,730},{0,19,3124},{0,17,1427},{3,49,1},{3,49,1},{3,49,1},{3,32,0},{11,1,2178},{0,31,628},{0,31,628},{0,18,730},{17,2,2178},{0,18,730},{24,2,2665},{0,63,41},{6,40,2},{0,39,89},{24,2,2665},{30,14,2665},{0,39,89},{0,31,2669},{30,14,2665},{0,31,2669},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,16,0},{0,16,0},{0,16,0},{0,10,1},{0,7,149},
{0,7,149},{4,63,4514},{2,63,630},{3,45,1013},{2,41,681},{1,63,9738},{0,49,4610},{0,40,833},{0,30,4849},{0,36,12905},{0,29,6798},{6,63,3101},{4,60,208},{5,43,149},{3,41,286},{18,6,9669},{0,49,4610},{0,40,833},{0,30,4849},{28,6,9669},{0,30,4849},{2,59,545},{2,59,545},{2,59,545},{2,37,545},{0,44,2178},{0,34,493},{0,34,493},{0,22,584},{0,23,3462},{0,19,1493},{4,52,0},
{4,52,0},{4,52,0},{4,34,1},{13,0,2178},{0,34,493},{0,34,493},{0,22,584},{20,2,2178},{0,22,584},{26,1,2665},{2,63,85},{7,42,4},{0,41,52},{26,1,2665},{31,16,2665},{0,41,52},{0,33,2669},{31,16,2665},{0,33,2669},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,22,0},{0,22,0},{0,22,0},{0,13,1},{0,10,289},{0,10,289},{4,63,5330},{3,63,1018},{3,47,1406},
{2,43,966},{2,63,9981},{0,53,4366},{0,42,585},{0,33,4609},{0,38,13451},{0,31,6834},{7,63,3233},{5,62,208},{6,45,149},{4,42,285},{21,1,9669},{0,53,4366},{0,42,585},{0,33,4609},{29,8,9669},{0,33,4609},{3,61,865},{3,61,865},{3,61,865},{3,39,865},{0,49,2178},{0,38,377},{0,38,377},{0,24,461},{0,25,3789},{0,21,1589},{5,54,0},{5,54,0},{5,54,0},{5,36,1},{14,2,2178},
{0,38,377},{0,38,377},{0,24,461},{24,0,2178},{0,24,461},{28,0,2665},{3,63,153},{8,44,5},{0,44,20},{28,0,2665},{31,19,2665},{0,44,20},{0,35,2669},{31,19,2665},{0,35,2669},{3,0,865},{3,0,865},{3,0,865},{3,0,865},{0,27,1},{0,27,1},{0,27,1},{0,16,1},{0,13,442},{0,13,442},{5,63,6270},{3,63,1626},{4,49,1866},{3,45,1286},{2,63,10381},{0,55,4133},{0,45,401},
{0,35,4366},{0,42,14023},{0,32,6917},{8,63,3434},{6,63,242},{7,47,149},{5,44,285},{22,3,9669},{0,55,4133},{0,45,401},{0,35,4366},{30,10,9669},{0,35,4366},{3,63,1226},{3,63,1226},{3,63,1226},{3,42,1201},{0,54,2178},{0,42,277},{0,42,277},{0,26,356},{0,27,4170},{0,23,1721},{6,56,0},{6,56,0},{6,56,0},{6,38,1},{16,0,2178},{0,42,277},{0,42,277},{0,26,356},{26,1,2178},
{0,26,356},{29,2,2665},{5,63,232},{9,46,5},{0,46,5},{29,2,2665},{31,22,2665},{0,46,5},{0,37,2669},{31,22,2665},{0,37,2669},{3,0,1201},{3,0,1201},{3,0,1201},{3,0,1201},{0,32,1},{0,32,1},{0,32,1},{0,19,1},{0,15,628},{0,15,628},{6,63,7374},{4,63,2339},{4,51,2411},{3,48,1715},{3,63,10950},{0,59,3909},{0,47,257},{0,37,4141},{0,44,14641},{0,34,7031},{9,63,3638},
{7,63,320},{8,49,154},{6,46,285},{24,1,9669},{0,59,3909},{0,47,257},{0,37,4141},{31,12,9669},{0,37,4141},{4,63,1714},{4,63,1714},{4,63,1714},{4,44,1665},{0,59,2180},{0,46,193},{0,46,193},{0,28,269},{0,31,4582},{0,25,1889},{7,58,0},{7,58,0},{7,58,0},{7,40,1},{17,2,2178},{0,46,193},{0,46,193},{0,28,269},{27,3,2178},{0,28,269},{31,0,2665},{8,63,313},{10,48,2},
{1,48,2},{31,0,2665},{30,27,2665},{1,48,2},{0,39,2669},{30,27,2665},{0,39,2669},{3,0,1665},{3,0,1665},{3,0,1665},{3,0,1665},{0,38,0},{0,38,0},{0,38,0},{0,23,1},{0,17,821},{0,17,821},{7,63,8807},{5,63,3388},{5,53,3082},{4,49,2230},{4,63,11766},{0,63,3686},{0,51,134},{0,39,3909},{0,46,15438},{0,37,7214},{11,63,3853},{8,63,457},{9,51,149},{7,49,286},{25,4,9669},
{0,63,3686},{0,51,134},{0,39,3909},{28,19,9669},{0,39,3909},{5,63,2427},{5,63,2427},{5,63,2427},{4,47,2179},{0,63,2210},{0,49,128},{0,49,128},{0,31,193},{0,34,5117},{0,29,2123},{8,60,0},{8,60,0},{8,60,0},{8,42,1},{19,1,2178},{0,49,128},{0,49,128},{0,31,193},{29,4,2178},{0,31,193},{31,6,2665},{9,63,405},{11,50,4},{2,50,4},{31,6,2665},{31,29,2665},{2,50,4},
{0,42,2669},{31,29,2665},{0,42,2669},{4,0,2178},{4,0,2178},{4,0,2178},{4,0,2178},{0,44,0},{0,44,0},{0,44,0},{0,26,1},{0,19,1108},{0,19,1108},{7,63,10230},{6,63,4421},{6,55,3705},{4,52,2725},{5,63,12634},{0,63,3719},{0,53,77},{0,41,3727},{0,51,15978},{0,39,7289},{12,63,4050},{10,63,629},{10,53,149},{8,50,285},{26,6,9669},{0,63,3718},{0,53,76},{0,41,3726},{29,21,9669},
{0,41,3726},{5,63,3050},{5,63,3050},{5,63,3050},{5,49,2690},{1,63,2325},{0,53,73},{0,53,73},{0,33,118},{0,36,5499},{0,31,2266},{9,62,0},{9,62,0},{9,62,0},{9,44,1},{20,3,2178},{0,53,72},{0,53,72},{0,33,117},{30,6,2178},{0,33,117},{31,12,2665},{11,63,521},{12,52,5},{3,52,4},{31,12,2665},{31,32,2665},{3,52,4},{0,44,2669},{31,32,2665},{0,44,2669},{5,0,2689},
{5,0,2689},{5,0,2689},{5,0,2689},{0,49,1},{0,49,1},{0,49,1},{0,29,2},{0,21,1341},{0,21,1341},{9,63,10738},{7,63,4899},{7,57,3705},{5,54,2725},{6,63,13045},{1,63,4002},{1,55,77},{0,43,3642},{0,53,15510},{0,42,6577},{13,63,4302},{11,63,857},{11,55,149},{9,52,285},{29,1,9669},{2,63,3954},{1,55,76},{0,43,3561},{30,23,9669},{0,43,3561},{6,63,3173},{6,63,3173},{6,63,3173},
{6,51,2690},{2,63,2427},{1,55,73},{1,55,73},{1,35,118},{0,40,5171},{0,32,1846},{10,63,4},{10,63,4},{10,63,4},{10,46,1},{21,5,2178},{0,57,32},{0,57,32},{0,35,72},{31,8,2178},{0,35,72},{31,17,2665},{13,63,680},{13,54,5},{3,55,4},{31,17,2665},{31,35,2665},{3,55,4},{0,46,2669},{31,35,2665},{0,46,2669},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{1,51,1},
{1,51,1},{1,51,1},{1,31,2},{0,25,1145},{0,25,1145},{10,63,11278},{8,63,5402},{8,58,3742},{6,56,2725},{7,63,13510},{3,63,4314},{2,57,77},{1,45,3642},{0,57,15046},{0,44,5927},{14,63,4590},{12,63,1171},{12,57,149},{10,54,285},{30,3,9669},{3,63,4265},{2,57,76},{0,45,3414},{31,25,9669},{0,45,3414},{7,63,3314},{7,63,3314},{7,63,3314},{7,53,2690},{4,63,2532},{2,57,73},{2,57,73},
{2,37,118},{0,44,4867},{0,36,1470},{11,63,25},{11,63,25},{11,63,25},{11,48,1},{24,0,2178},{0,61,8},{0,61,8},{0,38,40},{31,11,2178},{0,38,40},{31,22,2665},{15,63,832},{14,56,5},{4,57,4},{31,22,2665},{30,40,2665},{4,57,4},{0,47,2677},{30,40,2665},{0,47,2677},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{2,53,1},{2,53,1},{2,53,1},{2,33,2},{0,29,965},
{0,29,965},{11,63,11942},{10,63,6090},{9,62,3723},{8,58,2734},{9,63,14053},{4,63,4863},{3,59,79},{2,48,3633},{0,61,14558},{0,46,5283},{16,63,4858},{14,63,1556},{13,60,138},{11,57,299},{30,9,9669},{6,63,4594},{3,59,75},{0,48,3233},{29,31,9669},{0,48,3233},{9,63,3505},{9,63,3505},{9,63,3505},{8,55,2690},{5,63,2645},{3,61,72},{3,61,72},{3,39,117},{0,46,4539},{0,38,1091},{12,63,64},
{12,63,64},{12,63,64},{12,50,1},{24,6,2178},{1,63,10},{1,63,10},{0,40,13},{29,17,2178},{0,40,13},{31,28,2665},{17,63,1053},{15,59,2},{5,59,2},{31,28,2665},{31,42,2665},{5,59,2},{0,50,2669},{31,42,2665},{0,50,2669},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{3,55,5},{3,55,5},{3,55,5},{3,36,5},{0,34,794},{0,34,794},{12,63,12466},{11,63,6718},{10,62,3738},
{8,60,2723},{10,63,14554},{6,63,5363},{4,61,87},{3,50,3633},{0,63,14190},{0,49,4774},{17,63,5158},{15,63,1938},{14,62,138},{12,59,282},{31,11,9669},{8,63,4806},{4,61,86},{0,50,3110},{29,34,9669},{0,50,3110},{10,63,3658},{10,63,3658},{10,63,3658},{9,57,2690},{6,63,2795},{4,62,66},{4,62,66},{4,41,131},{0,51,4269},{0,40,833},{14,63,100},{14,63,100},{14,63,100},{13,52,1},{27,1,2178},
{3,63,34},{3,63,34},{0,43,2},{30,19,2178},{0,43,2},{31,33,2665},{19,63,1241},{16,61,5},{6,61,2},{31,33,2665},{31,45,2665},{6,61,2},{0,52,2669},{31,45,2665},{0,52,2669},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{4,57,1},{4,57,1},{4,57,1},{4,37,2},{0,38,650},{0,38,650},{14,63,13094},{12,63,7445},{11,63,3830},{9,62,2723},{12,63,14998},{8,63,5926},{5,63,87},
{4,51,3642},{0,63,14254},{0,51,4306},{18,63,5494},{16,63,2414},{15,63,146},{13,61,282},{31,16,9669},{10,63,5138},{5,63,86},{0,52,3005},{30,36,9669},{0,52,3005},{11,63,3829},{11,63,3829},{11,63,3829},{10,59,2690},{7,63,2981},{5,63,86},{5,63,86},{5,43,131},{0,53,4014},{0,44,601},{15,63,145},{15,63,145},{15,63,145},{14,54,1},{28,3,2178},{5,63,85},{5,63,85},{1,45,2},{31,21,2178},
{1,45,2},{31,38,2665},{20,63,1378},{17,63,5},{7,63,2},{31,38,2665},{31,48,2665},{7,63,2},{0,54,2669},{31,48,2665},{0,54,2669},{10,0,2689},{10,0,2689},{10,0,2689},{10,0,2689},{5,59,1},{5,59,1},{5,59,1},{5,39,2},{0,40,520},{0,40,520},{15,63,12507},{13,63,7370},{12,63,4001},{11,63,2705},{13,63,14148},{8,63,5491},{6,63,154},{5,53,3033},{1,63,13399},{0,53,3297},{19,63,4949},
{17,63,2261},{16,63,202},{15,61,185},{31,20,8712},{11,63,4644},{7,63,145},{0,54,2365},{31,37,8712},{0,54,2365},{12,63,4001},{12,63,4001},{12,63,4001},{11,61,2690},{9,63,3204},{6,63,154},{6,63,154},{6,45,131},{0,57,3762},{0,46,419},{16,63,202},{16,63,202},{16,63,202},{15,56,1},{29,5,2178},{7,63,145},{7,63,145},{2,47,2},{31,24,2178},{2,47,2},{30,45,2178},{22,63,1145},{18,63,1},
{10,63,1},{30,45,2178},{31,50,2178},{10,63,1},{0,55,2180},{31,50,2178},{0,55,2180},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{6,61,1},{6,61,1},{6,61,1},{6,41,2},{0,44,400},{0,44,400},{16,63,11658},{14,63,7195},{13,63,4225},{12,63,2693},{14,63,13066},{10,63,5014},{8,63,261},{6,54,2366},{3,63,12366},{0,55,2274},{20,63,4338},{18,63,2037},{17,63,289},{16,62,80},{31,24,7578},
{13,63,4037},{9,63,202},{0,55,1698},{29,42,7578},{0,55,1698},{13,63,4225},{13,63,4225},{13,63,4225},{12,63,2693},{10,63,3429},{8,63,261},{8,63,261},{7,47,132},{0,61,3509},{0,49,290},{17,63,289},{17,63,289},{17,63,289},{16,59,0},{31,4,2178},{9,63,202},{9,63,202},{3,49,2},{30,29,2178},{3,49,2},{31,44,1625},{23,63,850},{20,63,0},{13,63,1},{31,44,1625},{31,52,1625},{13,63,1},
{0,56,1625},{31,52,1625},{0,56,1625},{12,0,2689},{12,0,2689},{12,0,2689},{12,0,2689},{7,63,5},{7,63,5},{7,63,5},{7,44,4},{0,49,289},{0,49,289},{16,63,11002},{15,63,7081},{14,63,4450},{13,63,2738},{15,63,12205},{11,63,4663},{9,63,411},{7,55,1813},{4,63,11643},{0,56,1550},{21,63,3802},{20,63,1845},{18,63,388},{17,62,25},{31,27,6661},{15,63,3525},{11,63,290},{0,57,1217},{29,44,6661},
{0,57,1217},{14,63,4450},{14,63,4450},{14,63,4450},{13,63,2738},{11,63,3675},{9,63,411},{9,63,411},{8,49,131},{0,63,3354},{0,51,222},{18,63,388},{18,63,388},{18,63,388},{17,61,0},{30,13,2178},{11,63,290},{11,63,290},{4,51,2},{31,31,2178},{4,51,2},{31,47,1201},{24,63,653},{22,63,4},{15,63,1},{31,47,1201},{31,53,1201},{15,63,1},{0,57,1201},{31,53,1201},{0,57,1201},{13,0,2689},
{13,0,2689},{13,0,2689},{13,0,2689},{8,63,17},{8,63,17},{8,63,17},{8,46,2},{0,53,205},{0,53,205},{17,63,10434},{16,63,7010},{15,63,4693},{14,63,2833},{16,63,11374},{12,63,4462},{10,63,629},{8,56,1358},{6,63,10895},{0,57,1002},{22,63,3334},{20,63,1701},{19,63,505},{18,63,0},{31,31,5829},{16,63,3145},{12,63,405},{1,58,842},{31,44,5829},{1,58,842},{15,63,4693},{15,63,4693},{15,63,4693},
{14,63,2833},{12,63,3906},{10,63,629},{10,63,629},{9,51,131},{1,63,3525},{0,54,218},{19,63,505},{19,63,505},{19,63,505},{18,63,0},{31,15,2178},{12,63,405},{12,63,405},{5,53,2},{31,34,2178},{5,53,2},{31,49,841},{25,63,461},{23,63,1},{18,63,0},{31,49,841},{31,55,841},{18,63,0},{0,58,841},{31,55,841},{0,58,841},{14,0,2689},{14,0,2689},{14,0,2689},{14,0,2689},{9,63,50},
{9,63,50},{9,63,50},{9,48,2},{0,57,137},{0,57,137},{18,63,9934},{17,63,6962},{16,63,4913},{15,63,2978},{17,63,10683},{13,63,4277},{11,63,915},{9,58,974},{8,63,10078},{0,59,630},{23,63,2934},{22,63,1605},{21,63,650},{19,63,25},{31,34,5082},{18,63,2769},{14,63,521},{2,59,546},{31,46,5082},{2,59,546},{16,63,4913},{16,63,4913},{16,63,4913},{15,63,2978},{14,63,4170},{11,63,915},{11,63,915},
{10,53,131},{3,63,3789},{1,56,218},{21,63,650},{21,63,650},{21,63,650},{19,63,25},{31,20,2178},{14,63,521},{14,63,521},{6,55,2},{31,37,2178},{6,55,2},{31,52,545},{26,63,305},{25,63,4},{20,63,1},{31,52,545},{30,58,545},{20,63,1},{0,59,545},{30,58,545},{0,59,545},{15,0,2689},{15,0,2689},{15,0,2689},{15,0,2689},{11,63,74},{11,63,74},{11,63,74},{10,49,2},{0,59,85},
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{22,63,785},{22,63,785},{20,63,100},{31,26,2178},{16,63,698},{16,63,698},{7,57,0},{30,42,2178},{7,57,0},{31,55,288},{28,63,162},{26,63,4},{23,63,1},{31,55,288},{28,62,288},{23,63,1},{0,60,288},{28,62,288},{0,60,288},{16,0,2689},{16,0,2689},{16,0,2689},{16,0,2689},{12,63,113},{12,63,113},{12,63,113},{11,52,4},{0,63,45},{0,63,45},{20,63,9219},{19,63,6985},{18,63,5530},
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{15,0,9250},{15,0,9250},{15,0,9250},{10,63,2792},{10,63,2792},{10,63,2792},{7,63,145},{0,63,2610},{0,63,2610},{16,63,63318},{14,63,42019},{12,63,25930},{11,63,19324},{16,63,59178},{11,63,28845},{9,63,8605},{8,63,276},{6,63,56253},{0,61,6420},{27,63,1366},{27,63,1094},{26,63,872},{25,63,397},{31,51,2017},{25,63,1298},{23,63,794},{13,63,1},{31,56,2017},{13,63,1},{19,63,14244},{19,63,14244},{19,63,14244},
{17,63,11312},{16,63,11037},{13,63,6429},{13,63,6429},{8,63,260},{6,63,10457},{0,63,2642},{26,63,872},{26,63,872},{26,63,872},{25,63,397},{31,45,1513},{23,63,794},{23,63,794},{13,63,1},{31,52,1513},{13,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{16,0,9248},{16,0,9248},{16,0,9248},{16,0,9248},{12,63,3074},
{12,63,3074},{12,63,3074},{8,63,260},{0,63,2642},{0,63,2642},{17,63,58848},{15,63,39619},{13,63,24975},{12,63,19007},{16,63,54474},{13,63,27057},{10,63,8569},{9,63,461},{8,63,51302},{0,63,5046},{28,63,979},{27,63,806},{27,63,637},{26,63,292},{30,56,1473},{26,63,953},{24,63,605},{16,63,0},{30,58,1473},{16,63,0},{19,63,13604},{19,63,13604},{19,63,13604},{18,63,11057},{16,63,10429},{14,63,6339},{14,63,6339},
{10,63,424},{8,63,9713},{1,63,2900},{27,63,637},{27,63,637},{27,63,637},{26,63,292},{31,48,1105},{24,63,605},{24,63,605},{16,63,0},{31,54,1105},{16,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{17,0,9248},{17,0,9248},{17,0,9248},{17,0,9248},{12,63,3330},{12,63,3330},{12,63,3330},{10,63,424},{1,63,2900},
{1,63,2900},
/**** ended inlining basisu_transcoder_tables_atc_56.inc ****/
};
struct atc_match_entry
{
uint8_t m_lo;
uint8_t m_hi;
};
static atc_match_entry g_pvrtc2_match45_equals_1[256], g_atc_match55_equals_1[256], g_atc_match56_equals_1[256]; // selector 1
static atc_match_entry g_pvrtc2_match4[256], g_atc_match5[256], g_atc_match6[256];
static void prepare_atc_single_color_table(atc_match_entry* pTable, int size0, int size1, int sel)
{
for (int i = 0; i < 256; i++)
{
int lowest_e = 256;
for (int lo = 0; lo < size0; lo++)
{
int lo_e = lo;
if (size0 == 16)
{
lo_e = (lo_e << 1) | (lo_e >> 3);
lo_e = (lo_e << 3) | (lo_e >> 2);
}
else if (size0 == 32)
lo_e = (lo_e << 3) | (lo_e >> 2);
else
lo_e = (lo_e << 2) | (lo_e >> 4);
for (int hi = 0; hi < size1; hi++)
{
int hi_e = hi;
if (size1 == 16)
{
// This is only for PVRTC2 - expand to 5 then 8
hi_e = (hi_e << 1) | (hi_e >> 3);
hi_e = (hi_e << 3) | (hi_e >> 2);
}
else if (size1 == 32)
hi_e = (hi_e << 3) | (hi_e >> 2);
else
hi_e = (hi_e << 2) | (hi_e >> 4);
int e;
if (sel == 1)
{
// Selector 1
e = abs(((lo_e * 5 + hi_e * 3) / 8) - i);
}
else
{
assert(sel == 3);
// Selector 3
e = abs(hi_e - i);
}
if (e < lowest_e)
{
pTable[i].m_lo = static_cast<uint8_t>(lo);
pTable[i].m_hi = static_cast<uint8_t>(hi);
lowest_e = e;
}
} // hi
} // lo
} // i
}
static void transcoder_init_atc()
{
prepare_atc_single_color_table(g_pvrtc2_match45_equals_1, 16, 32, 1);
prepare_atc_single_color_table(g_atc_match55_equals_1, 32, 32, 1);
prepare_atc_single_color_table(g_atc_match56_equals_1, 32, 64, 1);
prepare_atc_single_color_table(g_pvrtc2_match4, 1, 16, 3);
prepare_atc_single_color_table(g_atc_match5, 1, 32, 3);
prepare_atc_single_color_table(g_atc_match6, 1, 64, 3);
for (uint32_t i = 0; i < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1s_to_atc_selector_ranges[i].m_low;
uint32_t h = g_etc1s_to_atc_selector_ranges[i].m_high;
g_etc1s_to_atc_selector_range_index[l][h] = i;
}
}
struct atc_block
{
uint8_t m_lo[2];
uint8_t m_hi[2];
uint8_t m_sels[4];
void set_low_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 32) && (b < 32));
uint32_t x = (r << 10) | (g << 5) | b;
m_lo[0] = x & 0xFF;
m_lo[1] = (x >> 8) & 0xFF;
}
void set_high_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 64) && (b < 32));
uint32_t x = (r << 11) | (g << 5) | b;
m_hi[0] = x & 0xFF;
m_hi[1] = (x >> 8) & 0xFF;
}
};
static void convert_etc1s_to_atc(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
atc_block* pBlock = static_cast<atc_block*>(pDst);
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
pBlock->set_low_color(g_atc_match55_equals_1[r].m_lo, g_atc_match56_equals_1[g].m_lo, g_atc_match55_equals_1[b].m_lo);
pBlock->set_high_color(g_atc_match55_equals_1[r].m_hi, g_atc_match56_equals_1[g].m_hi, g_atc_match55_equals_1[b].m_hi);
pBlock->m_sels[0] = 0x55;
pBlock->m_sels[1] = 0x55;
pBlock->m_sels[2] = 0x55;
pBlock->m_sels[3] = 0x55;
return;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
pBlock->set_low_color(g_atc_match5[r0].m_hi, g_atc_match5[g0].m_hi, g_atc_match5[b0].m_hi);
pBlock->set_high_color(g_atc_match5[r1].m_hi, g_atc_match6[g1].m_hi, g_atc_match5[b1].m_hi);
pBlock->m_sels[0] = pSelector->m_selectors[0];
pBlock->m_sels[1] = pSelector->m_selectors[1];
pBlock->m_sels[2] = pSelector->m_selectors[2];
pBlock->m_sels[3] = pSelector->m_selectors[3];
return;
}
const uint32_t selector_range_table = g_etc1s_to_atc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1s_to_atc_solution* pTable_r = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.r) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_g = &g_etc1s_to_atc_56[(inten_table * 32 + base_color.g) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_b = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.b) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
pBlock->set_low_color(pTable_r[best_mapping].m_lo, pTable_g[best_mapping].m_lo, pTable_b[best_mapping].m_lo);
pBlock->set_high_color(pTable_r[best_mapping].m_hi, pTable_g[best_mapping].m_hi, pTable_b[best_mapping].m_hi);
if (ATC_IDENTITY_SELECTOR_MAPPING_INDEX == best_mapping)
{
pBlock->m_sels[0] = pSelector->m_selectors[0];
pBlock->m_sels[1] = pSelector->m_selectors[1];
pBlock->m_sels[2] = pSelector->m_selectors[2];
pBlock->m_sels[3] = pSelector->m_selectors[3];
}
else
{
const uint8_t* pSelectors_xlat = &g_etc1s_to_atc_selector_mappings[best_mapping][0];
const uint32_t sel_bits0 = pSelector->m_selectors[0];
const uint32_t sel_bits1 = pSelector->m_selectors[1];
const uint32_t sel_bits2 = pSelector->m_selectors[2];
const uint32_t sel_bits3 = pSelector->m_selectors[3];
uint32_t atc_sels0 = 0, atc_sels1 = 0, atc_sels2 = 0, atc_sels3 = 0;
#define DO_X(x) { \
const uint32_t x_shift = (x) * 2; \
atc_sels0 |= (pSelectors_xlat[(sel_bits0 >> x_shift) & 3] << x_shift); \
atc_sels1 |= (pSelectors_xlat[(sel_bits1 >> x_shift) & 3] << x_shift); \
atc_sels2 |= (pSelectors_xlat[(sel_bits2 >> x_shift) & 3] << x_shift); \
atc_sels3 |= (pSelectors_xlat[(sel_bits3 >> x_shift) & 3] << x_shift); }
DO_X(0);
DO_X(1);
DO_X(2);
DO_X(3);
#undef DO_X
pBlock->m_sels[0] = (uint8_t)atc_sels0;
pBlock->m_sels[1] = (uint8_t)atc_sels1;
pBlock->m_sels[2] = (uint8_t)atc_sels2;
pBlock->m_sels[3] = (uint8_t)atc_sels3;
}
}
#if BASISD_WRITE_NEW_ATC_TABLES
static void create_etc1s_to_atc_conversion_tables()
{
// ATC 55
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_atc_55.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 31; hi++)
{
for (uint32_t lo = 0; lo <= 31; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 3) | (lo >> 2);
colors[3] = (hi << 3) | (hi >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
pFile = nullptr;
// ATC 56
fopen_s(&pFile, "basisu_transcoder_tables_atc_56.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 63; hi++)
{
for (uint32_t lo = 0; lo <= 31; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 3) | (lo >> 2);
colors[3] = (hi << 2) | (hi >> 4);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
// PVRTC2 45
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_45.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 31; hi++)
{
for (uint32_t lo = 0; lo <= 15; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1) | (lo >> 3);
colors[0] = (colors[0] << 3) | (colors[0] >> 2);
colors[3] = (hi << 3) | (hi >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
#if 0
// PVRTC2 34
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_34.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 15; hi++)
{
for (uint32_t lo = 0; lo <= 7; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 2) | (lo >> 1);
colors[0] = (colors[0] << 3) | (colors[0] >> 2);
colors[3] = (hi << 1) | (hi >> 3);
colors[3] = (colors[3] << 3) | (colors[3] >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
#endif
#if 0
// PVRTC2 44
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_44.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 15; hi++)
{
for (uint32_t lo = 0; lo <= 15; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1) | (lo >> 3);
colors[0] = (colors[0] << 3) | (colors[0] >> 2);
colors[3] = (hi << 1) | (hi >> 3);
colors[3] = (colors[3] << 3) | (colors[3] >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
#endif
// PVRTC2 alpha 33
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_alpha_33.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 7; hi++)
{
for (uint32_t lo = 0; lo <= 7; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1);
colors[0] = (colors[0] << 4) | colors[0];
colors[3] = (hi << 1) | 1;
colors[3] = (colors[3] << 4) | colors[3];
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
#endif // BASISD_WRITE_NEW_ATC_TABLES
#endif // BASISD_SUPPORT_ATC
#if BASISD_SUPPORT_PVRTC2
struct pvrtc2_block
{
uint8_t m_modulation[4];
union
{
union
{
// Opaque mode: RGB colora=554 and colorb=555
struct
{
uint32_t m_mod_flag : 1;
uint32_t m_blue_a : 4;
uint32_t m_green_a : 5;
uint32_t m_red_a : 5;
uint32_t m_hard_flag : 1;
uint32_t m_blue_b : 5;
uint32_t m_green_b : 5;
uint32_t m_red_b : 5;
uint32_t m_opaque_flag : 1;
} m_opaque_color_data;
// Transparent mode: RGBA colora=4433 and colorb=4443
struct
{
uint32_t m_mod_flag : 1;
uint32_t m_blue_a : 3;
uint32_t m_green_a : 4;
uint32_t m_red_a : 4;
uint32_t m_alpha_a : 3;
uint32_t m_hard_flag : 1;
uint32_t m_blue_b : 4;
uint32_t m_green_b : 4;
uint32_t m_red_b : 4;
uint32_t m_alpha_b : 3;
uint32_t m_opaque_flag : 1;
} m_trans_color_data;
};
uint32_t m_color_data_bits;
};
// 554
void set_low_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 32) && (b < 16));
m_opaque_color_data.m_red_a = r;
m_opaque_color_data.m_green_a = g;
m_opaque_color_data.m_blue_a = b;
}
// 555
void set_high_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 32) && (b < 32));
m_opaque_color_data.m_red_b = r;
m_opaque_color_data.m_green_b = g;
m_opaque_color_data.m_blue_b = b;
}
// 4433
void set_trans_low_color(uint32_t r, uint32_t g, uint32_t b, uint32_t a)
{
assert((r < 16) && (g < 16) && (b < 8) && (a < 8));
m_trans_color_data.m_red_a = r;
m_trans_color_data.m_green_a = g;
m_trans_color_data.m_blue_a = b;
m_trans_color_data.m_alpha_a = a;
}
// 4443
void set_trans_high_color(uint32_t r, uint32_t g, uint32_t b, uint32_t a)
{
assert((r < 16) && (g < 16) && (b < 16) && (a < 8));
m_trans_color_data.m_red_b = r;
m_trans_color_data.m_green_b = g;
m_trans_color_data.m_blue_b = b;
m_trans_color_data.m_alpha_b = a;
}
};
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_trans_match34[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_trans_match44[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_alpha_match33[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_alpha_match33_0[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_alpha_match33_3[256];
// PVRTC2 can be forced to look like a slightly weaker variant of ATC/BC1, so that's what we do here for simplicity.
static void convert_etc1s_to_pvrtc2_rgb(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
pvrtc2_block* pBlock = static_cast<pvrtc2_block*>(pDst);
pBlock->m_opaque_color_data.m_hard_flag = 1;
pBlock->m_opaque_color_data.m_mod_flag = 0;
pBlock->m_opaque_color_data.m_opaque_flag = 1;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
pBlock->set_low_color(g_atc_match55_equals_1[r].m_lo, g_atc_match55_equals_1[g].m_lo, g_pvrtc2_match45_equals_1[b].m_lo);
pBlock->set_high_color(g_atc_match55_equals_1[r].m_hi, g_atc_match55_equals_1[g].m_hi, g_pvrtc2_match45_equals_1[b].m_hi);
pBlock->m_modulation[0] = 0x55;
pBlock->m_modulation[1] = 0x55;
pBlock->m_modulation[2] = 0x55;
pBlock->m_modulation[3] = 0x55;
return;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
pBlock->set_low_color(g_atc_match5[r0].m_hi, g_atc_match5[g0].m_hi, g_pvrtc2_match4[b0].m_hi);
pBlock->set_high_color(g_atc_match5[r1].m_hi, g_atc_match5[g1].m_hi, g_atc_match5[b1].m_hi);
pBlock->m_modulation[0] = pSelector->m_selectors[0];
pBlock->m_modulation[1] = pSelector->m_selectors[1];
pBlock->m_modulation[2] = pSelector->m_selectors[2];
pBlock->m_modulation[3] = pSelector->m_selectors[3];
return;
}
const uint32_t selector_range_table = g_etc1s_to_atc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1s_to_atc_solution* pTable_r = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.r) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_g = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.g) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_b = &g_etc1s_to_pvrtc2_45[(inten_table * 32 + base_color.b) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
pBlock->set_low_color(pTable_r[best_mapping].m_lo, pTable_g[best_mapping].m_lo, pTable_b[best_mapping].m_lo);
pBlock->set_high_color(pTable_r[best_mapping].m_hi, pTable_g[best_mapping].m_hi, pTable_b[best_mapping].m_hi);
if (ATC_IDENTITY_SELECTOR_MAPPING_INDEX == best_mapping)
{
pBlock->m_modulation[0] = pSelector->m_selectors[0];
pBlock->m_modulation[1] = pSelector->m_selectors[1];
pBlock->m_modulation[2] = pSelector->m_selectors[2];
pBlock->m_modulation[3] = pSelector->m_selectors[3];
}
else
{
// TODO: We could make this faster using several precomputed 256 entry tables, like ETC1S->BC1 does.
const uint8_t* pSelectors_xlat = &g_etc1s_to_atc_selector_mappings[best_mapping][0];
const uint32_t sel_bits0 = pSelector->m_selectors[0];
const uint32_t sel_bits1 = pSelector->m_selectors[1];
const uint32_t sel_bits2 = pSelector->m_selectors[2];
const uint32_t sel_bits3 = pSelector->m_selectors[3];
uint32_t sels0 = 0, sels1 = 0, sels2 = 0, sels3 = 0;
#define DO_X(x) { \
const uint32_t x_shift = (x) * 2; \
sels0 |= (pSelectors_xlat[(sel_bits0 >> x_shift) & 3] << x_shift); \
sels1 |= (pSelectors_xlat[(sel_bits1 >> x_shift) & 3] << x_shift); \
sels2 |= (pSelectors_xlat[(sel_bits2 >> x_shift) & 3] << x_shift); \
sels3 |= (pSelectors_xlat[(sel_bits3 >> x_shift) & 3] << x_shift); }
DO_X(0);
DO_X(1);
DO_X(2);
DO_X(3);
#undef DO_X
pBlock->m_modulation[0] = (uint8_t)sels0;
pBlock->m_modulation[1] = (uint8_t)sels1;
pBlock->m_modulation[2] = (uint8_t)sels2;
pBlock->m_modulation[3] = (uint8_t)sels3;
}
}
typedef struct { float c[4]; } vec4F;
static inline vec4F* vec4F_set_scalar(vec4F* pV, float x) { pV->c[0] = x; pV->c[1] = x; pV->c[2] = x; pV->c[3] = x; return pV; }
static inline vec4F* vec4F_set(vec4F* pV, float x, float y, float z, float w) { pV->c[0] = x; pV->c[1] = y; pV->c[2] = z; pV->c[3] = w; return pV; }
static inline vec4F* vec4F_saturate_in_place(vec4F* pV) { pV->c[0] = saturate(pV->c[0]); pV->c[1] = saturate(pV->c[1]); pV->c[2] = saturate(pV->c[2]); pV->c[3] = saturate(pV->c[3]); return pV; }
static inline vec4F vec4F_saturate(const vec4F* pV) { vec4F res; res.c[0] = saturate(pV->c[0]); res.c[1] = saturate(pV->c[1]); res.c[2] = saturate(pV->c[2]); res.c[3] = saturate(pV->c[3]); return res; }
static inline vec4F vec4F_from_color(const color32* pC) { vec4F res; vec4F_set(&res, pC->c[0], pC->c[1], pC->c[2], pC->c[3]); return res; }
static inline vec4F vec4F_add(const vec4F* pLHS, const vec4F* pRHS) { vec4F res; vec4F_set(&res, pLHS->c[0] + pRHS->c[0], pLHS->c[1] + pRHS->c[1], pLHS->c[2] + pRHS->c[2], pLHS->c[3] + pRHS->c[3]); return res; }
static inline vec4F vec4F_sub(const vec4F* pLHS, const vec4F* pRHS) { vec4F res; vec4F_set(&res, pLHS->c[0] - pRHS->c[0], pLHS->c[1] - pRHS->c[1], pLHS->c[2] - pRHS->c[2], pLHS->c[3] - pRHS->c[3]); return res; }
static inline float vec4F_dot(const vec4F* pLHS, const vec4F* pRHS) { return pLHS->c[0] * pRHS->c[0] + pLHS->c[1] * pRHS->c[1] + pLHS->c[2] * pRHS->c[2] + pLHS->c[3] * pRHS->c[3]; }
static inline vec4F vec4F_mul(const vec4F* pLHS, float s) { vec4F res; vec4F_set(&res, pLHS->c[0] * s, pLHS->c[1] * s, pLHS->c[2] * s, pLHS->c[3] * s); return res; }
static inline vec4F* vec4F_normalize_in_place(vec4F* pV) { float s = pV->c[0] * pV->c[0] + pV->c[1] * pV->c[1] + pV->c[2] * pV->c[2] + pV->c[3] * pV->c[3]; if (s != 0.0f) { s = 1.0f / sqrtf(s); pV->c[0] *= s; pV->c[1] *= s; pV->c[2] *= s; pV->c[3] *= s; } return pV; }
static color32 convert_rgba_5554_to_8888(const color32& col)
{
return color32((col[0] << 3) | (col[0] >> 2), (col[1] << 3) | (col[1] >> 2), (col[2] << 3) | (col[2] >> 2), (col[3] << 4) | col[3]);
}
static inline int sq(int x) { return x * x; }
// PVRTC2 is a slightly borked format for alpha: In Non-Interpolated mode, the way AlphaB8 is exanded from 4 to 8 bits means it can never be 0.
// This is actually very bad, because on 100% transparent blocks which have non-trivial color pixels, part of the color channel will leak into alpha!
// And there's nothing straightforward we can do because using the other modes is too expensive/complex. I can see why Apple didn't adopt it.
static void convert_etc1s_to_pvrtc2_rgba(void* pDst, const endpoint* pEndpoints, const selector* pSelector, const endpoint* pEndpoint_codebook, const selector* pSelector_codebook)
{
pvrtc2_block* pBlock = static_cast<pvrtc2_block*>(pDst);
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pBlock)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pBlock)[1]];
pBlock->m_opaque_color_data.m_hard_flag = 1;
pBlock->m_opaque_color_data.m_mod_flag = 0;
pBlock->m_opaque_color_data.m_opaque_flag = 0;
const int num_unique_alpha_selectors = alpha_selectors.m_num_unique_selectors;
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
int constant_alpha_val = -1;
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
if (num_unique_alpha_selectors == 1)
{
constant_alpha_val = alpha_block_colors[alpha_selectors.m_lo_selector];
}
else
{
constant_alpha_val = alpha_block_colors[alpha_selectors.m_lo_selector];
for (uint32_t i = alpha_selectors.m_lo_selector + 1; i <= alpha_selectors.m_hi_selector; i++)
{
if (constant_alpha_val != alpha_block_colors[i])
{
constant_alpha_val = -1;
break;
}
}
}
if (constant_alpha_val >= 250)
{
// It's opaque enough, so don't bother trying to encode it as an alpha block.
convert_etc1s_to_pvrtc2_rgb(pDst, pEndpoints, pSelector);
return;
}
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const int num_unique_color_selectors = pSelector->m_num_unique_selectors;
// We need to reencode the block at the pixel level, unfortunately, from two ETC1S planes.
// Do 4D incremental PCA, project all pixels to this hyperline, then quantize to packed endpoints and compute the modulation values.
const int br = (base_color.r << 3) | (base_color.r >> 2);
const int bg = (base_color.g << 3) | (base_color.g >> 2);
const int bb = (base_color.b << 3) | (base_color.b >> 2);
color32 block_cols[4];
for (uint32_t i = 0; i < 4; i++)
{
const int ci = g_etc1_inten_tables[inten_table][i];
block_cols[i].set_clamped(br + ci, bg + ci, bb + ci, alpha_block_colors[i]);
}
bool solid_color_block = true;
if (num_unique_color_selectors > 1)
{
for (uint32_t i = low_selector + 1; i <= high_selector; i++)
{
if ((block_cols[low_selector].r != block_cols[i].r) || (block_cols[low_selector].g != block_cols[i].g) || (block_cols[low_selector].b != block_cols[i].b))
{
solid_color_block = false;
break;
}
}
}
if ((solid_color_block) && (constant_alpha_val >= 0))
{
// Constant color/alpha block.
// This is more complex than it may seem because of the way color and alpha are packed in PVRTC2. We need to evaluate mod0, mod1 and mod3 encodings to find the best one.
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
// Mod 0
uint32_t lr0 = (r * 15 + 128) / 255, lg0 = (g * 15 + 128) / 255, lb0 = (b * 7 + 128) / 255;
uint32_t la0 = g_pvrtc2_alpha_match33_0[constant_alpha_val].m_l;
uint32_t cr0 = (lr0 << 1) | (lr0 >> 3);
uint32_t cg0 = (lg0 << 1) | (lg0 >> 3);
uint32_t cb0 = (lb0 << 2) | (lb0 >> 1);
uint32_t ca0 = (la0 << 1);
cr0 = (cr0 << 3) | (cr0 >> 2);
cg0 = (cg0 << 3) | (cg0 >> 2);
cb0 = (cb0 << 3) | (cb0 >> 2);
ca0 = (ca0 << 4) | ca0;
uint32_t err0 = sq(cr0 - r) + sq(cg0 - g) + sq(cb0 - b) + sq(ca0 - constant_alpha_val) * 2;
// If the alpha is < 3 or so we're kinda screwed. It's better to have some RGB error than it is to turn a 100% transparent area slightly opaque.
if ((err0 == 0) || (constant_alpha_val < 3))
{
pBlock->set_trans_low_color(lr0, lg0, lb0, la0);
pBlock->set_trans_high_color(0, 0, 0, 0);
pBlock->m_modulation[0] = 0;
pBlock->m_modulation[1] = 0;
pBlock->m_modulation[2] = 0;
pBlock->m_modulation[3] = 0;
return;
}
// Mod 3
uint32_t lr3 = (r * 15 + 128) / 255, lg3 = (g * 15 + 128) / 255, lb3 = (b * 15 + 128) / 255;
uint32_t la3 = g_pvrtc2_alpha_match33_3[constant_alpha_val].m_l;
uint32_t cr3 = (lr3 << 1) | (lr3 >> 3);
uint32_t cg3 = (lg3 << 1) | (lg3 >> 3);
uint32_t cb3 = (lb3 << 1) | (lb3 >> 3);
uint32_t ca3 = (la3 << 1) | 1;
cr3 = (cr3 << 3) | (cr3 >> 2);
cg3 = (cg3 << 3) | (cg3 >> 2);
cb3 = (cb3 << 3) | (cb3 >> 2);
ca3 = (ca3 << 4) | ca3;
uint32_t err3 = sq(cr3 - r) + sq(cg3 - g) + sq(cb3 - b) + sq(ca3 - constant_alpha_val) * 2;
// Mod 1
uint32_t lr1 = g_pvrtc2_trans_match44[r].m_l, lg1 = g_pvrtc2_trans_match44[g].m_l, lb1 = g_pvrtc2_trans_match34[b].m_l;
uint32_t hr1 = g_pvrtc2_trans_match44[r].m_h, hg1 = g_pvrtc2_trans_match44[g].m_h, hb1 = g_pvrtc2_trans_match34[b].m_h;
uint32_t la1 = g_pvrtc2_alpha_match33[constant_alpha_val].m_l, ha1 = g_pvrtc2_alpha_match33[constant_alpha_val].m_h;
uint32_t clr1 = (lr1 << 1) | (lr1 >> 3);
uint32_t clg1 = (lg1 << 1) | (lg1 >> 3);
uint32_t clb1 = (lb1 << 2) | (lb1 >> 1);
uint32_t cla1 = (la1 << 1);
clr1 = (clr1 << 3) | (clr1 >> 2);
clg1 = (clg1 << 3) | (clg1 >> 2);
clb1 = (clb1 << 3) | (clb1 >> 2);
cla1 = (cla1 << 4) | cla1;
uint32_t chr1 = (hr1 << 1) | (hr1 >> 3);
uint32_t chg1 = (hg1 << 1) | (hg1 >> 3);
uint32_t chb1 = (hb1 << 1) | (hb1 >> 3);
uint32_t cha1 = (ha1 << 1) | 1;
chr1 = (chr1 << 3) | (chr1 >> 2);
chg1 = (chg1 << 3) | (chg1 >> 2);
chb1 = (chb1 << 3) | (chb1 >> 2);
cha1 = (cha1 << 4) | cha1;
uint32_t r1 = (clr1 * 5 + chr1 * 3) / 8;
uint32_t g1 = (clg1 * 5 + chg1 * 3) / 8;
uint32_t b1 = (clb1 * 5 + chb1 * 3) / 8;
uint32_t a1 = (cla1 * 5 + cha1 * 3) / 8;
uint32_t err1 = sq(r1 - r) + sq(g1 - g) + sq(b1 - b) + sq(a1 - constant_alpha_val) * 2;
if ((err1 < err0) && (err1 < err3))
{
pBlock->set_trans_low_color(lr1, lg1, lb1, la1);
pBlock->set_trans_high_color(hr1, hg1, hb1, ha1);
pBlock->m_modulation[0] = 0x55;
pBlock->m_modulation[1] = 0x55;
pBlock->m_modulation[2] = 0x55;
pBlock->m_modulation[3] = 0x55;
}
else if (err0 < err3)
{
pBlock->set_trans_low_color(lr0, lg0, lb0, la0);
pBlock->set_trans_high_color(0, 0, 0, 0);
pBlock->m_modulation[0] = 0;
pBlock->m_modulation[1] = 0;
pBlock->m_modulation[2] = 0;
pBlock->m_modulation[3] = 0;
}
else
{
pBlock->set_trans_low_color(0, 0, 0, 0);
pBlock->set_trans_high_color(lr3, lg3, lb3, la3);
pBlock->m_modulation[0] = 0xFF;
pBlock->m_modulation[1] = 0xFF;
pBlock->m_modulation[2] = 0xFF;
pBlock->m_modulation[3] = 0xFF;
}
return;
}
// It's a complex block with non-solid color and/or alpha pixels.
vec4F minColor, maxColor;
if (solid_color_block)
{
// It's a solid color block.
uint32_t low_a = block_cols[alpha_selectors.m_lo_selector].a;
uint32_t high_a = block_cols[alpha_selectors.m_hi_selector].a;
const float S = 1.0f / 255.0f;
vec4F_set(&minColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, low_a * S);
vec4F_set(&maxColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, high_a * S);
}
else if (constant_alpha_val >= 0)
{
// It's a solid alpha block.
const float S = 1.0f / 255.0f;
vec4F_set(&minColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, constant_alpha_val * S);
vec4F_set(&maxColor, block_cols[high_selector].r * S, block_cols[high_selector].g * S, block_cols[high_selector].b * S, constant_alpha_val * S);
}
// See if any of the block colors got clamped - if so the principle axis got distorted (it's no longer just the ETC1S luma axis).
// To keep quality up we need to use full 4D PCA in this case.
else if ((block_cols[low_selector].c[0] == 0) || (block_cols[high_selector].c[0] == 255) ||
(block_cols[low_selector].c[1] == 0) || (block_cols[high_selector].c[1] == 255) ||
(block_cols[low_selector].c[2] == 0) || (block_cols[high_selector].c[2] == 255) ||
(block_cols[alpha_selectors.m_lo_selector].c[3] == 0) || (block_cols[alpha_selectors.m_hi_selector].c[3] == 255))
{
// Find principle component of RGBA colors treated as 4D vectors.
color32 pixels[16];
uint32_t sum_r = 0, sum_g = 0, sum_b = 0, sum_a = 0;
for (uint32_t i = 0; i < 16; i++)
{
color32 rgb(block_cols[pSelector->get_selector(i & 3, i >> 2)]);
uint32_t a = block_cols[alpha_selectors.get_selector(i & 3, i >> 2)].a;
pixels[i].set(rgb.r, rgb.g, rgb.b, a);
sum_r += rgb.r;
sum_g += rgb.g;
sum_b += rgb.b;
sum_a += a;
}
vec4F meanColor;
vec4F_set(&meanColor, (float)sum_r, (float)sum_g, (float)sum_b, (float)sum_a);
vec4F meanColorScaled = vec4F_mul(&meanColor, 1.0f / 16.0f);
meanColor = vec4F_mul(&meanColor, 1.0f / (float)(16.0f * 255.0f));
vec4F_saturate_in_place(&meanColor);
vec4F axis;
vec4F_set_scalar(&axis, 0.0f);
// Why this incremental method? Because it's stable and predictable. Covar+power method can require a lot of iterations to converge in 4D.
for (uint32_t i = 0; i < 16; i++)
{
vec4F color = vec4F_from_color(&pixels[i]);
color = vec4F_sub(&color, &meanColorScaled);
vec4F a = vec4F_mul(&color, color.c[0]);
vec4F b = vec4F_mul(&color, color.c[1]);
vec4F c = vec4F_mul(&color, color.c[2]);
vec4F d = vec4F_mul(&color, color.c[3]);
vec4F n = i ? axis : color;
vec4F_normalize_in_place(&n);
axis.c[0] += vec4F_dot(&a, &n);
axis.c[1] += vec4F_dot(&b, &n);
axis.c[2] += vec4F_dot(&c, &n);
axis.c[3] += vec4F_dot(&d, &n);
}
vec4F_normalize_in_place(&axis);
if (vec4F_dot(&axis, &axis) < .5f)
vec4F_set_scalar(&axis, .5f);
float l = 1e+9f, h = -1e+9f;
for (uint32_t i = 0; i < 16; i++)
{
vec4F color = vec4F_from_color(&pixels[i]);
vec4F q = vec4F_sub(&color, &meanColorScaled);
float d = vec4F_dot(&q, &axis);
l = basisu::minimum(l, d);
h = basisu::maximum(h, d);
}
l *= (1.0f / 255.0f);
h *= (1.0f / 255.0f);
vec4F b0 = vec4F_mul(&axis, l);
vec4F b1 = vec4F_mul(&axis, h);
vec4F c0 = vec4F_add(&meanColor, &b0);
vec4F c1 = vec4F_add(&meanColor, &b1);
minColor = vec4F_saturate(&c0);
maxColor = vec4F_saturate(&c1);
if (minColor.c[3] > maxColor.c[3])
{
// VS 2019 release Code Generator issue
//std::swap(minColor, maxColor);
float a = minColor.c[0], b = minColor.c[1], c = minColor.c[2], d = minColor.c[3];
minColor.c[0] = maxColor.c[0]; minColor.c[1] = maxColor.c[1]; minColor.c[2] = maxColor.c[2]; minColor.c[3] = maxColor.c[3];
minColor.c[0] = maxColor.c[0]; minColor.c[1] = maxColor.c[1]; minColor.c[2] = maxColor.c[2]; minColor.c[3] = maxColor.c[3];
maxColor.c[0] = a; maxColor.c[1] = b; maxColor.c[2] = c; maxColor.c[3] = d;
}
}
else
{
// We know the RGB axis is luma, because it's an ETC1S block and none of the block colors got clamped. So we only need to use 2D PCA.
// We project each LA vector onto two 2D lines with axes (1,1) and (1,-1) and find the largest projection to determine if axis A is flipped relative to L.
uint32_t block_cols_l[4], block_cols_a[4];
for (uint32_t i = 0; i < 4; i++)
{
block_cols_l[i] = block_cols[i].r + block_cols[i].g + block_cols[i].b;
block_cols_a[i] = block_cols[i].a * 3;
}
int p0_min = INT_MAX, p0_max = INT_MIN;
int p1_min = INT_MAX, p1_max = INT_MIN;
for (uint32_t y = 0; y < 4; y++)
{
const uint32_t cs = pSelector->m_selectors[y];
const uint32_t as = alpha_selectors.m_selectors[y];
{
const int l = block_cols_l[cs & 3];
const int a = block_cols_a[as & 3];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
{
const int l = block_cols_l[(cs >> 2) & 3];
const int a = block_cols_a[(as >> 2) & 3];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
{
const int l = block_cols_l[(cs >> 4) & 3];
const int a = block_cols_a[(as >> 4) & 3];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
{
const int l = block_cols_l[cs >> 6];
const int a = block_cols_a[as >> 6];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
}
int dist0 = p0_max - p0_min;
int dist1 = p1_max - p1_min;
const float S = 1.0f / 255.0f;
vec4F_set(&minColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, block_cols[alpha_selectors.m_lo_selector].a * S);
vec4F_set(&maxColor, block_cols[high_selector].r * S, block_cols[high_selector].g * S, block_cols[high_selector].b * S, block_cols[alpha_selectors.m_hi_selector].a * S);
// See if the A component of the principle axis is flipped relative to L. If so, we need to flip either RGB or A bounds.
if (dist1 > dist0)
{
std::swap(minColor.c[0], maxColor.c[0]);
std::swap(minColor.c[1], maxColor.c[1]);
std::swap(minColor.c[2], maxColor.c[2]);
}
}
// 4433 4443
color32 trialMinColor, trialMaxColor;
trialMinColor.set_clamped((int)(minColor.c[0] * 15.0f + .5f), (int)(minColor.c[1] * 15.0f + .5f), (int)(minColor.c[2] * 7.0f + .5f), (int)(minColor.c[3] * 7.0f + .5f));
trialMaxColor.set_clamped((int)(maxColor.c[0] * 15.0f + .5f), (int)(maxColor.c[1] * 15.0f + .5f), (int)(maxColor.c[2] * 15.0f + .5f), (int)(maxColor.c[3] * 7.0f + .5f));
pBlock->set_trans_low_color(trialMinColor.r, trialMinColor.g, trialMinColor.b, trialMinColor.a);
pBlock->set_trans_high_color(trialMaxColor.r, trialMaxColor.g, trialMaxColor.b, trialMaxColor.a);
color32 color_a((trialMinColor.r << 1) | (trialMinColor.r >> 3), (trialMinColor.g << 1) | (trialMinColor.g >> 3), (trialMinColor.b << 2) | (trialMinColor.b >> 1), trialMinColor.a << 1);
color32 color_b((trialMaxColor.r << 1) | (trialMaxColor.r >> 3), (trialMaxColor.g << 1) | (trialMaxColor.g >> 3), (trialMaxColor.b << 1) | (trialMaxColor.b >> 3), (trialMaxColor.a << 1) | 1);
color32 color0(convert_rgba_5554_to_8888(color_a));
color32 color3(convert_rgba_5554_to_8888(color_b));
const int lr = color0.r;
const int lg = color0.g;
const int lb = color0.b;
const int la = color0.a;
const int axis_r = color3.r - lr;
const int axis_g = color3.g - lg;
const int axis_b = color3.b - lb;
const int axis_a = color3.a - la;
const int len_a = (axis_r * axis_r) + (axis_g * axis_g) + (axis_b * axis_b) + (axis_a * axis_a);
const int thresh01 = (len_a * 3) / 16;
const int thresh12 = len_a >> 1;
const int thresh23 = (len_a * 13) / 16;
if ((axis_r | axis_g | axis_b) == 0)
{
int ca_sel[4];
for (uint32_t i = 0; i < 4; i++)
{
int ca = (block_cols[i].a - la) * axis_a;
ca_sel[i] = (ca >= thresh23) + (ca >= thresh12) + (ca >= thresh01);
}
for (uint32_t y = 0; y < 4; y++)
{
const uint32_t a_sels = alpha_selectors.m_selectors[y];
uint32_t sel = ca_sel[a_sels & 3] | (ca_sel[(a_sels >> 2) & 3] << 2) | (ca_sel[(a_sels >> 4) & 3] << 4) | (ca_sel[a_sels >> 6] << 6);
pBlock->m_modulation[y] = (uint8_t)sel;
}
}
else
{
int cy[4], ca[4];
for (uint32_t i = 0; i < 4; i++)
{
cy[i] = (block_cols[i].r - lr) * axis_r + (block_cols[i].g - lg) * axis_g + (block_cols[i].b - lb) * axis_b;
ca[i] = (block_cols[i].a - la) * axis_a;
}
for (uint32_t y = 0; y < 4; y++)
{
const uint32_t c_sels = pSelector->m_selectors[y];
const uint32_t a_sels = alpha_selectors.m_selectors[y];
const int d0 = cy[c_sels & 3] + ca[a_sels & 3];
const int d1 = cy[(c_sels >> 2) & 3] + ca[(a_sels >> 2) & 3];
const int d2 = cy[(c_sels >> 4) & 3] + ca[(a_sels >> 4) & 3];
const int d3 = cy[c_sels >> 6] + ca[a_sels >> 6];
uint32_t sel = ((d0 >= thresh23) + (d0 >= thresh12) + (d0 >= thresh01)) |
(((d1 >= thresh23) + (d1 >= thresh12) + (d1 >= thresh01)) << 2) |
(((d2 >= thresh23) + (d2 >= thresh12) + (d2 >= thresh01)) << 4) |
(((d3 >= thresh23) + (d3 >= thresh12) + (d3 >= thresh01)) << 6);
pBlock->m_modulation[y] = (uint8_t)sel;
}
}
}
static void transcoder_init_pvrtc2()
{
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 8; l++)
{
uint32_t le = (l << 1);
le = (le << 4) | le;
for (uint32_t h = 0; h < 8; h++)
{
uint32_t he = (h << 1) | 1;
he = (he << 4) | he;
uint32_t m = (le * 5 + he * 3) / 8;
int err = (int)labs((int)v - (int)m);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = h;
}
}
}
g_pvrtc2_alpha_match33[v].m_l = (uint8_t)best_l;
g_pvrtc2_alpha_match33[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 8; l++)
{
uint32_t le = (l << 1);
le = (le << 4) | le;
int err = (int)labs((int)v - (int)le);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = l;
}
}
g_pvrtc2_alpha_match33_0[v].m_l = (uint8_t)best_l;
g_pvrtc2_alpha_match33_0[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t h = 0; h < 8; h++)
{
uint32_t he = (h << 1) | 1;
he = (he << 4) | he;
int err = (int)labs((int)v - (int)he);
if (err < lowest_err)
{
lowest_err = err;
best_l = h;
best_h = h;
}
}
g_pvrtc2_alpha_match33_3[v].m_l = (uint8_t)best_l;
g_pvrtc2_alpha_match33_3[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 8; l++)
{
uint32_t le = (l << 2) | (l >> 1);
le = (le << 3) | (le >> 2);
for (uint32_t h = 0; h < 16; h++)
{
uint32_t he = (h << 1) | (h >> 3);
he = (he << 3) | (he >> 2);
uint32_t m = (le * 5 + he * 3) / 8;
int err = (int)labs((int)v - (int)m);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = h;
}
}
}
g_pvrtc2_trans_match34[v].m_l = (uint8_t)best_l;
g_pvrtc2_trans_match34[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 16; l++)
{
uint32_t le = (l << 1) | (l >> 3);
le = (le << 3) | (le >> 2);
for (uint32_t h = 0; h < 16; h++)
{
uint32_t he = (h << 1) | (h >> 3);
he = (he << 3) | (he >> 2);
uint32_t m = (le * 5 + he * 3) / 8;
int err = (int)labs((int)v - (int)m);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = h;
}
}
}
g_pvrtc2_trans_match44[v].m_l = (uint8_t)best_l;
g_pvrtc2_trans_match44[v].m_h = (uint8_t)best_h;
}
}
#endif // BASISD_SUPPORT_PVRTC2
basisu_lowlevel_etc1s_transcoder::basisu_lowlevel_etc1s_transcoder() :
m_pGlobal_codebook(nullptr),
m_selector_history_buf_size(0)
{
}
bool basisu_lowlevel_etc1s_transcoder::decode_palettes(
uint32_t num_endpoints, const uint8_t* pEndpoints_data, uint32_t endpoints_data_size,
uint32_t num_selectors, const uint8_t* pSelectors_data, uint32_t selectors_data_size)
{
if (m_pGlobal_codebook)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 11\n");
return false;
}
bitwise_decoder sym_codec;
huffman_decoding_table color5_delta_model0, color5_delta_model1, color5_delta_model2, inten_delta_model;
if (!sym_codec.init(pEndpoints_data, endpoints_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 0\n");
return false;
}
if (!sym_codec.read_huffman_table(color5_delta_model0))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 1\n");
return false;
}
if (!sym_codec.read_huffman_table(color5_delta_model1))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 1a\n");
return false;
}
if (!sym_codec.read_huffman_table(color5_delta_model2))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 2a\n");
return false;
}
if (!sym_codec.read_huffman_table(inten_delta_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 2b\n");
return false;
}
if (!color5_delta_model0.is_valid() || !color5_delta_model1.is_valid() || !color5_delta_model2.is_valid() || !inten_delta_model.is_valid())
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 2b\n");
return false;
}
const bool endpoints_are_grayscale = sym_codec.get_bits(1) != 0;
m_local_endpoints.resize(num_endpoints);
color32 prev_color5(16, 16, 16, 0);
uint32_t prev_inten = 0;
for (uint32_t i = 0; i < num_endpoints; i++)
{
uint32_t inten_delta = sym_codec.decode_huffman(inten_delta_model);
m_local_endpoints[i].m_inten5 = static_cast<uint8_t>((inten_delta + prev_inten) & 7);
prev_inten = m_local_endpoints[i].m_inten5;
for (uint32_t c = 0; c < (endpoints_are_grayscale ? 1U : 3U); c++)
{
int delta;
if (prev_color5[c] <= basist::COLOR5_PAL0_PREV_HI)
delta = sym_codec.decode_huffman(color5_delta_model0);
else if (prev_color5[c] <= basist::COLOR5_PAL1_PREV_HI)
delta = sym_codec.decode_huffman(color5_delta_model1);
else
delta = sym_codec.decode_huffman(color5_delta_model2);
int v = (prev_color5[c] + delta) & 31;
m_local_endpoints[i].m_color5[c] = static_cast<uint8_t>(v);
prev_color5[c] = static_cast<uint8_t>(v);
}
if (endpoints_are_grayscale)
{
m_local_endpoints[i].m_color5[1] = m_local_endpoints[i].m_color5[0];
m_local_endpoints[i].m_color5[2] = m_local_endpoints[i].m_color5[0];
}
}
sym_codec.stop();
m_local_selectors.resize(num_selectors);
if (!sym_codec.init(pSelectors_data, selectors_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 5\n");
return false;
}
basist::huffman_decoding_table delta_selector_pal_model;
const bool used_global_selector_cb = (sym_codec.get_bits(1) == 1);
if (used_global_selector_cb)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: global selector codebooks are unsupported\n");
return false;
}
else
{
const bool used_hybrid_selector_cb = (sym_codec.get_bits(1) == 1);
if (used_hybrid_selector_cb)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: hybrid global selector codebooks are unsupported\n");
return false;
}
const bool used_raw_encoding = (sym_codec.get_bits(1) == 1);
if (used_raw_encoding)
{
for (uint32_t i = 0; i < num_selectors; i++)
{
for (uint32_t j = 0; j < 4; j++)
{
uint32_t cur_byte = sym_codec.get_bits(8);
for (uint32_t k = 0; k < 4; k++)
m_local_selectors[i].set_selector(k, j, (cur_byte >> (k * 2)) & 3);
}
m_local_selectors[i].init_flags();
}
}
else
{
if (!sym_codec.read_huffman_table(delta_selector_pal_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 10\n");
return false;
}
if ((num_selectors > 1) && (!delta_selector_pal_model.is_valid()))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 10a\n");
return false;
}
uint8_t prev_bytes[4] = { 0, 0, 0, 0 };
for (uint32_t i = 0; i < num_selectors; i++)
{
if (!i)
{
for (uint32_t j = 0; j < 4; j++)
{
uint32_t cur_byte = sym_codec.get_bits(8);
prev_bytes[j] = static_cast<uint8_t>(cur_byte);
for (uint32_t k = 0; k < 4; k++)
m_local_selectors[i].set_selector(k, j, (cur_byte >> (k * 2)) & 3);
}
m_local_selectors[i].init_flags();
continue;
}
for (uint32_t j = 0; j < 4; j++)
{
int delta_byte = sym_codec.decode_huffman(delta_selector_pal_model);
uint32_t cur_byte = delta_byte ^ prev_bytes[j];
prev_bytes[j] = static_cast<uint8_t>(cur_byte);
for (uint32_t k = 0; k < 4; k++)
m_local_selectors[i].set_selector(k, j, (cur_byte >> (k * 2)) & 3);
}
m_local_selectors[i].init_flags();
}
}
}
sym_codec.stop();
return true;
}
bool basisu_lowlevel_etc1s_transcoder::decode_tables(const uint8_t* pTable_data, uint32_t table_data_size)
{
basist::bitwise_decoder sym_codec;
if (!sym_codec.init(pTable_data, table_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 0\n");
return false;
}
if (!sym_codec.read_huffman_table(m_endpoint_pred_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 1\n");
return false;
}
if (m_endpoint_pred_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 1a\n");
return false;
}
if (!sym_codec.read_huffman_table(m_delta_endpoint_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 2\n");
return false;
}
if (m_delta_endpoint_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 2a\n");
return false;
}
if (!sym_codec.read_huffman_table(m_selector_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 3\n");
return false;
}
if (m_selector_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 3a\n");
return false;
}
if (!sym_codec.read_huffman_table(m_selector_history_buf_rle_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 4\n");
return false;
}
if (m_selector_history_buf_rle_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 4a\n");
return false;
}
m_selector_history_buf_size = sym_codec.get_bits(13);
// Check for bogus values.
if (!m_selector_history_buf_size)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 5\n");
return false;
}
sym_codec.stop();
return true;
}
bool basisu_lowlevel_etc1s_transcoder::transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const bool is_video, const bool is_alpha_slice, const uint32_t level_index, const uint32_t orig_width, const uint32_t orig_height, uint32_t output_row_pitch_in_blocks_or_pixels,
basisu_transcoder_state* pState, bool transcode_alpha, void *pAlpha_blocks, uint32_t output_rows_in_pixels)
{
// 'pDst_blocks' unused when disabling *all* hardware transcode options
// (and 'bc1_allow_threecolor_blocks' when disabling DXT)
BASISU_NOTE_UNUSED(pDst_blocks);
BASISU_NOTE_UNUSED(bc1_allow_threecolor_blocks);
BASISU_NOTE_UNUSED(transcode_alpha);
BASISU_NOTE_UNUSED(pAlpha_blocks);
assert(g_transcoder_initialized);
if (!g_transcoder_initialized)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: Transcoder not globally initialized.\n");
return false;
}
if (!pState)
pState = &m_def_state;
const uint32_t total_blocks = num_blocks_x * num_blocks_y;
if (!output_row_pitch_in_blocks_or_pixels)
{
if (basis_block_format_is_uncompressed(fmt))
output_row_pitch_in_blocks_or_pixels = orig_width;
else
{
if (fmt == block_format::cFXT1_RGB)
output_row_pitch_in_blocks_or_pixels = (orig_width + 7) / 8;
else
output_row_pitch_in_blocks_or_pixels = num_blocks_x;
}
}
if (basis_block_format_is_uncompressed(fmt))
{
if (!output_rows_in_pixels)
output_rows_in_pixels = orig_height;
}
basisu::vector<uint32_t>* pPrev_frame_indices = nullptr;
if (is_video)
{
// TODO: Add check to make sure the caller hasn't tried skipping past p-frames
//const bool alpha_flag = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
//const uint32_t level_index = slice_desc.m_level_index;
if (level_index >= basisu_transcoder_state::cMaxPrevFrameLevels)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: unsupported level_index\n");
return false;
}
pPrev_frame_indices = &pState->m_prev_frame_indices[is_alpha_slice][level_index];
if (pPrev_frame_indices->size() < total_blocks)
pPrev_frame_indices->resize(total_blocks);
}
basist::bitwise_decoder sym_codec;
if (!sym_codec.init(pImage_data, image_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: sym_codec.init failed\n");
return false;
}
approx_move_to_front selector_history_buf(m_selector_history_buf_size);
uint32_t cur_selector_rle_count = 0;
decoder_etc_block block;
memset(&block, 0, sizeof(block));
//block.set_flip_bit(true);
// Setting the flip bit to false to be compatible with the Khronos KDFS.
block.set_flip_bit(false);
block.set_diff_bit(true);
void* pPVRTC_work_mem = nullptr;
uint32_t* pPVRTC_endpoints = nullptr;
if ((fmt == block_format::cPVRTC1_4_RGB) || (fmt == block_format::cPVRTC1_4_RGBA))
{
pPVRTC_work_mem = malloc(num_blocks_x * num_blocks_y * (sizeof(decoder_etc_block) + sizeof(uint32_t)));
if (!pPVRTC_work_mem)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: malloc failed\n");
return false;
}
pPVRTC_endpoints = (uint32_t*) & ((decoder_etc_block*)pPVRTC_work_mem)[num_blocks_x * num_blocks_y];
}
if (pState->m_block_endpoint_preds[0].size() < num_blocks_x)
{
pState->m_block_endpoint_preds[0].resize(num_blocks_x);
pState->m_block_endpoint_preds[1].resize(num_blocks_x);
}
uint32_t cur_pred_bits = 0;
int prev_endpoint_pred_sym = 0;
int endpoint_pred_repeat_count = 0;
uint32_t prev_endpoint_index = 0;
const endpoint_vec& endpoints = m_pGlobal_codebook ? m_pGlobal_codebook->m_local_endpoints : m_local_endpoints;
const selector_vec& selectors = m_pGlobal_codebook ? m_pGlobal_codebook->m_local_selectors : m_local_selectors;
if (!endpoints.size() || !selectors.size())
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: global codebooks must be unpacked first\n");
return false;
}
const uint32_t SELECTOR_HISTORY_BUF_FIRST_SYMBOL_INDEX = (uint32_t)selectors.size();
const uint32_t SELECTOR_HISTORY_BUF_RLE_SYMBOL_INDEX = m_selector_history_buf_size + SELECTOR_HISTORY_BUF_FIRST_SYMBOL_INDEX;
for (uint32_t block_y = 0; block_y < num_blocks_y; block_y++)
{
const uint32_t cur_block_endpoint_pred_array = block_y & 1;
for (uint32_t block_x = 0; block_x < num_blocks_x; block_x++)
{
// Decode endpoint index predictor symbols
if ((block_x & 1) == 0)
{
if ((block_y & 1) == 0)
{
if (endpoint_pred_repeat_count)
{
endpoint_pred_repeat_count--;
cur_pred_bits = prev_endpoint_pred_sym;
}
else
{
cur_pred_bits = sym_codec.decode_huffman(m_endpoint_pred_model);
if (cur_pred_bits == ENDPOINT_PRED_REPEAT_LAST_SYMBOL)
{
endpoint_pred_repeat_count = sym_codec.decode_vlc(ENDPOINT_PRED_COUNT_VLC_BITS) + ENDPOINT_PRED_MIN_REPEAT_COUNT - 1;
cur_pred_bits = prev_endpoint_pred_sym;
}
else
{
prev_endpoint_pred_sym = cur_pred_bits;
}
}
pState->m_block_endpoint_preds[cur_block_endpoint_pred_array ^ 1][block_x].m_pred_bits = (uint8_t)(cur_pred_bits >> 4);
}
else
{
cur_pred_bits = pState->m_block_endpoint_preds[cur_block_endpoint_pred_array][block_x].m_pred_bits;
}
}
// Decode endpoint index
uint32_t endpoint_index, selector_index = 0;
const uint32_t pred = cur_pred_bits & 3;
cur_pred_bits >>= 2;
if (pred == 0)
{
// Left
if (!block_x)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (0)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
endpoint_index = prev_endpoint_index;
}
else if (pred == 1)
{
// Upper
if (!block_y)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (1)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
endpoint_index = pState->m_block_endpoint_preds[cur_block_endpoint_pred_array ^ 1][block_x].m_endpoint_index;
}
else if (pred == 2)
{
if (is_video)
{
assert(pred == CR_ENDPOINT_PRED_INDEX);
endpoint_index = (*pPrev_frame_indices)[block_x + block_y * num_blocks_x];
selector_index = endpoint_index >> 16;
endpoint_index &= 0xFFFFU;
}
else
{
// Upper left
if ((!block_x) || (!block_y))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (2)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
endpoint_index = pState->m_block_endpoint_preds[cur_block_endpoint_pred_array ^ 1][block_x - 1].m_endpoint_index;
}
}
else
{
// Decode and apply delta
const uint32_t delta_sym = sym_codec.decode_huffman(m_delta_endpoint_model);
endpoint_index = delta_sym + prev_endpoint_index;
if (endpoint_index >= endpoints.size())
endpoint_index -= (int)endpoints.size();
}
pState->m_block_endpoint_preds[cur_block_endpoint_pred_array][block_x].m_endpoint_index = (uint16_t)endpoint_index;
prev_endpoint_index = endpoint_index;
// Decode selector index
if ((!is_video) || (pred != CR_ENDPOINT_PRED_INDEX))
{
int selector_sym;
if (cur_selector_rle_count > 0)
{
cur_selector_rle_count--;
selector_sym = (int)selectors.size();
}
else
{
selector_sym = sym_codec.decode_huffman(m_selector_model);
if (selector_sym == static_cast<int>(SELECTOR_HISTORY_BUF_RLE_SYMBOL_INDEX))
{
int run_sym = sym_codec.decode_huffman(m_selector_history_buf_rle_model);
if (run_sym == (SELECTOR_HISTORY_BUF_RLE_COUNT_TOTAL - 1))
cur_selector_rle_count = sym_codec.decode_vlc(7) + SELECTOR_HISTORY_BUF_RLE_COUNT_THRESH;
else
cur_selector_rle_count = run_sym + SELECTOR_HISTORY_BUF_RLE_COUNT_THRESH;
if (cur_selector_rle_count > total_blocks)
{
// The file is corrupted or we've got a bug.
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (3)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
selector_sym = (int)selectors.size();
cur_selector_rle_count--;
}
}
if (selector_sym >= (int)selectors.size())
{
assert(m_selector_history_buf_size > 0);
int history_buf_index = selector_sym - (int)selectors.size();
if (history_buf_index >= (int)selector_history_buf.size())
{
// The file is corrupted or we've got a bug.
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (4)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
selector_index = selector_history_buf[history_buf_index];
if (history_buf_index != 0)
selector_history_buf.use(history_buf_index);
}
else
{
selector_index = selector_sym;
if (m_selector_history_buf_size)
selector_history_buf.add(selector_index);
}
}
if ((endpoint_index >= endpoints.size()) || (selector_index >= selectors.size()))
{
// The file is corrupted or we've got a bug.
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (5)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
if (is_video)
(*pPrev_frame_indices)[block_x + block_y * num_blocks_x] = endpoint_index | (selector_index << 16);
#if BASISD_ENABLE_DEBUG_FLAGS
if ((g_debug_flags & cDebugFlagVisCRs) && ((fmt == block_format::cETC1) || (fmt == block_format::cBC1)))
{
if ((is_video) && (pred == 2))
{
decoder_etc_block* pDst_block = reinterpret_cast<decoder_etc_block*>(static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes);
memset(pDst_block, 0xFF, 8);
continue;
}
}
#endif
const endpoint* pEndpoints = &endpoints[endpoint_index];
const selector* pSelector = &selectors[selector_index];
switch (fmt)
{
case block_format::cETC1:
{
decoder_etc_block* pDst_block = reinterpret_cast<decoder_etc_block*>(static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes);
block.set_base5_color(decoder_etc_block::pack_color5(pEndpoints->m_color5, false));
block.set_inten_table(0, pEndpoints->m_inten5);
block.set_inten_table(1, pEndpoints->m_inten5);
pDst_block->m_uint32[0] = block.m_uint32[0];
pDst_block->set_raw_selector_bits(pSelector->m_bytes[0], pSelector->m_bytes[1], pSelector->m_bytes[2], pSelector->m_bytes[3]);
break;
}
case block_format::cBC1:
{
#if BASISD_SUPPORT_DXT1
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
#if BASISD_ENABLE_DEBUG_FLAGS
if (g_debug_flags & (cDebugFlagVisBC1Sels | cDebugFlagVisBC1Endpoints))
convert_etc1s_to_dxt1_vis(static_cast<dxt1_block*>(pDst_block), pEndpoints, pSelector, bc1_allow_threecolor_blocks);
else
#endif
convert_etc1s_to_dxt1(static_cast<dxt1_block*>(pDst_block), pEndpoints, pSelector, bc1_allow_threecolor_blocks);
#else
assert(0);
#endif
break;
}
case block_format::cBC4:
{
#if BASISD_SUPPORT_DXT5A
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_dxt5a(static_cast<dxt5a_block*>(pDst_block), pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cPVRTC1_4_RGB:
{
#if BASISD_SUPPORT_PVRTC1
block.set_base5_color(decoder_etc_block::pack_color5(pEndpoints->m_color5, false));
block.set_inten_table(0, pEndpoints->m_inten5);
block.set_inten_table(1, pEndpoints->m_inten5);
block.set_raw_selector_bits(pSelector->m_bytes[0], pSelector->m_bytes[1], pSelector->m_bytes[2], pSelector->m_bytes[3]);
((decoder_etc_block*)pPVRTC_work_mem)[block_x + block_y * num_blocks_x] = block;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
// Get block's RGB bounding box
color32 block_colors[2];
decoder_etc_block::get_block_colors5_bounds(block_colors, base_color, inten_table, low_selector, high_selector);
assert(block_colors[0][0] <= block_colors[1][0]);
assert(block_colors[0][1] <= block_colors[1][1]);
assert(block_colors[0][2] <= block_colors[1][2]);
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_opaque_endpoint_floor(0, block_colors[0]);
temp.set_opaque_endpoint_ceil(1, block_colors[1]);
pPVRTC_endpoints[block_x + block_y * num_blocks_x] = temp.m_endpoints;
#else
assert(0);
#endif
break;
}
case block_format::cPVRTC1_4_RGBA:
{
#if BASISD_SUPPORT_PVRTC1
assert(pAlpha_blocks);
block.set_base5_color(decoder_etc_block::pack_color5(pEndpoints->m_color5, false));
block.set_inten_table(0, pEndpoints->m_inten5);
block.set_inten_table(1, pEndpoints->m_inten5);
block.set_raw_selector_bits(pSelector->m_selectors[0], pSelector->m_selectors[1], pSelector->m_selectors[2], pSelector->m_selectors[3]);
((decoder_etc_block*)pPVRTC_work_mem)[block_x + block_y * num_blocks_x] = block;
// Get block's RGBA bounding box
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
color32 block_colors[2];
decoder_etc_block::get_block_colors5_bounds(block_colors, base_color, inten_table, low_selector, high_selector);
assert(block_colors[0][0] <= block_colors[1][0]);
assert(block_colors[0][1] <= block_colors[1][1]);
assert(block_colors[0][2] <= block_colors[1][2]);
const uint16_t* pAlpha_block = reinterpret_cast<uint16_t*>(static_cast<uint8_t*>(pAlpha_blocks) + (block_x + block_y * num_blocks_x) * sizeof(uint32_t));
const endpoint* pAlpha_endpoints = &endpoints[pAlpha_block[0]];
const selector* pAlpha_selector = &selectors[pAlpha_block[1]];
const color32& alpha_base_color = pAlpha_endpoints->m_color5;
const uint32_t alpha_inten_table = pAlpha_endpoints->m_inten5;
const uint32_t alpha_low_selector = pAlpha_selector->m_lo_selector;
const uint32_t alpha_high_selector = pAlpha_selector->m_hi_selector;
uint32_t alpha_block_colors[2];
decoder_etc_block::get_block_colors5_bounds_g(alpha_block_colors, alpha_base_color, alpha_inten_table, alpha_low_selector, alpha_high_selector);
assert(alpha_block_colors[0] <= alpha_block_colors[1]);
block_colors[0].a = (uint8_t)alpha_block_colors[0];
block_colors[1].a = (uint8_t)alpha_block_colors[1];
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_endpoint_floor(0, block_colors[0]);
temp.set_endpoint_ceil(1, block_colors[1]);
pPVRTC_endpoints[block_x + block_y * num_blocks_x] = temp.m_endpoints;
#else
assert(0);
#endif
break;
}
case block_format::cBC7: // for more consistency with UASTC
case block_format::cBC7_M5_COLOR:
{
#if BASISD_SUPPORT_BC7_MODE5
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_bc7_m5_color(pDst_block, pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cBC7_M5_ALPHA:
{
#if BASISD_SUPPORT_BC7_MODE5
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_bc7_m5_alpha(pDst_block, pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cETC2_EAC_A8:
{
#if BASISD_SUPPORT_ETC2_EAC_A8
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_etc2_eac_a8(static_cast<eac_block*>(pDst_block), pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cASTC_4x4:
{
#if BASISD_SUPPORT_ASTC
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_astc_4x4(pDst_block, pEndpoints, pSelector, transcode_alpha, &endpoints[0], &selectors[0]);
#else
assert(0);
#endif
break;
}
case block_format::cATC_RGB:
{
#if BASISD_SUPPORT_ATC
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_atc(pDst_block, pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cFXT1_RGB:
{
#if BASISD_SUPPORT_FXT1
const uint32_t fxt1_block_x = block_x >> 1;
const uint32_t fxt1_block_y = block_y;
const uint32_t fxt1_subblock = block_x & 1;
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (fxt1_block_x + fxt1_block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_fxt1(pDst_block, pEndpoints, pSelector, fxt1_subblock);
#else
assert(0);
#endif
break;
}
case block_format::cPVRTC2_4_RGB:
{
#if BASISD_SUPPORT_PVRTC2
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_pvrtc2_rgb(pDst_block, pEndpoints, pSelector);
#endif
break;
}
case block_format::cPVRTC2_4_RGBA:
{
#if BASISD_SUPPORT_PVRTC2
assert(transcode_alpha);
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_pvrtc2_rgba(pDst_block, pEndpoints, pSelector, &endpoints[0], &selectors[0]);
#endif
break;
}
case block_format::cIndices:
{
uint16_t* pDst_block = reinterpret_cast<uint16_t *>(static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes);
pDst_block[0] = static_cast<uint16_t>(endpoint_index);
pDst_block[1] = static_cast<uint16_t>(selector_index);
break;
}
case block_format::cA32:
{
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
int colors[4];
decoder_etc_block::get_block_colors5_g(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
if (max_x == 4)
{
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
pDst_pixels[3] = static_cast<uint8_t>(colors[s & 3]);
pDst_pixels[3+4] = static_cast<uint8_t>(colors[(s >> 2) & 3]);
pDst_pixels[3+8] = static_cast<uint8_t>(colors[(s >> 4) & 3]);
pDst_pixels[3+12] = static_cast<uint8_t>(colors[(s >> 6) & 3]);
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
}
else
{
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
pDst_pixels[3 + 4 * x] = static_cast<uint8_t>(colors[(s >> (x * 2)) & 3]);
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
}
break;
}
case block_format::cRGB32:
{
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = colors[(s >> (x * 2)) & 3];
pDst_pixels[0 + 4 * x] = c.r;
pDst_pixels[1 + 4 * x] = c.g;
pDst_pixels[2 + 4 * x] = c.b;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
break;
}
case block_format::cRGBA32:
{
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = colors[(s >> (x * 2)) & 3];
pDst_pixels[0 + 4 * x] = c.r;
pDst_pixels[1 + 4 * x] = c.g;
pDst_pixels[2 + 4 * x] = c.b;
pDst_pixels[3 + 4 * x] = 255;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
break;
}
case block_format::cRGB565:
case block_format::cBGR565:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
if (fmt == block_format::cRGB565)
{
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].r, 31) << 11) | (mul_8(colors[i].g, 63) << 5) | mul_8(colors[i].b, 31));
if (BASISD_IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
}
else
{
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].b, 31) << 11) | (mul_8(colors[i].g, 63) << 5) | mul_8(colors[i].r, 31));
if (BASISD_IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
reinterpret_cast<uint16_t *>(pDst_pixels)[x] = packed_colors[(s >> (x * 2)) & 3];
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444_COLOR:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].r, 15) << 12) | (mul_8(colors[i].g, 15) << 8) | (mul_8(colors[i].b, 15) << 4));
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
uint16_t cur = reinterpret_cast<uint16_t*>(pDst_pixels)[x];
if (BASISD_IS_BIG_ENDIAN)
cur = byteswap_uint16(cur);
cur = (cur & 0xF) | packed_colors[(s >> (x * 2)) & 3];
if (BASISD_IS_BIG_ENDIAN)
cur = byteswap_uint16(cur);
reinterpret_cast<uint16_t*>(pDst_pixels)[x] = cur;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444_COLOR_OPAQUE:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].r, 15) << 12) | (mul_8(colors[i].g, 15) << 8) | (mul_8(colors[i].b, 15) << 4) | 0xF);
if (BASISD_IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
reinterpret_cast<uint16_t*>(pDst_pixels)[x] = packed_colors[(s >> (x * 2)) & 3];
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444_ALPHA:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = mul_8(colors[i].g, 15);
if (BASISD_IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
reinterpret_cast<uint16_t*>(pDst_pixels)[x] = packed_colors[(s >> (x * 2)) & 3];
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cETC2_EAC_R11:
{
#if BASISD_SUPPORT_ETC2_EAC_RG11
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_etc2_eac_r11(static_cast<eac_block*>(pDst_block), pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
default:
{
assert(0);
break;
}
}
} // block_x
} // block-y
if (endpoint_pred_repeat_count != 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: endpoint_pred_repeat_count != 0. The file is corrupted or this is a bug\n");
return false;
}
//assert(endpoint_pred_repeat_count == 0);
#if BASISD_SUPPORT_PVRTC1
// PVRTC post process - create per-pixel modulation values.
if (fmt == block_format::cPVRTC1_4_RGB)
fixup_pvrtc1_4_modulation_rgb((decoder_etc_block*)pPVRTC_work_mem, pPVRTC_endpoints, pDst_blocks, num_blocks_x, num_blocks_y);
else if (fmt == block_format::cPVRTC1_4_RGBA)
fixup_pvrtc1_4_modulation_rgba((decoder_etc_block*)pPVRTC_work_mem, pPVRTC_endpoints, pDst_blocks, num_blocks_x, num_blocks_y, pAlpha_blocks, &endpoints[0], &selectors[0]);
#endif // BASISD_SUPPORT_PVRTC1
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return true;
}
bool basis_validate_output_buffer_size(transcoder_texture_format target_format,
uint32_t output_blocks_buf_size_in_blocks_or_pixels,
uint32_t orig_width, uint32_t orig_height,
uint32_t output_row_pitch_in_blocks_or_pixels,
uint32_t output_rows_in_pixels,
uint32_t total_slice_blocks)
{
if (basis_transcoder_format_is_uncompressed(target_format))
{
// Assume the output buffer is orig_width by orig_height
if (!output_row_pitch_in_blocks_or_pixels)
output_row_pitch_in_blocks_or_pixels = orig_width;
if (!output_rows_in_pixels)
output_rows_in_pixels = orig_height;
// Now make sure the output buffer is large enough, or we'll overwrite memory.
if (output_blocks_buf_size_in_blocks_or_pixels < (output_rows_in_pixels * output_row_pitch_in_blocks_or_pixels))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: output_blocks_buf_size_in_blocks_or_pixels < (output_rows_in_pixels * output_row_pitch_in_blocks_or_pixels)\n");
return false;
}
}
else if (target_format == transcoder_texture_format::cTFFXT1_RGB)
{
const uint32_t num_blocks_fxt1_x = (orig_width + 7) / 8;
const uint32_t num_blocks_fxt1_y = (orig_height + 3) / 4;
const uint32_t total_blocks_fxt1 = num_blocks_fxt1_x * num_blocks_fxt1_y;
if (output_blocks_buf_size_in_blocks_or_pixels < total_blocks_fxt1)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: output_blocks_buf_size_in_blocks_or_pixels < total_blocks_fxt1\n");
return false;
}
}
else
{
if (output_blocks_buf_size_in_blocks_or_pixels < total_slice_blocks)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: output_blocks_buf_size_in_blocks_or_pixels < transcode_image\n");
return false;
}
}
return true;
}
bool basisu_lowlevel_etc1s_transcoder::transcode_image(
transcoder_texture_format target_format,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
const uint8_t* pCompressed_data, uint32_t compressed_data_length,
uint32_t num_blocks_x, uint32_t num_blocks_y, uint32_t orig_width, uint32_t orig_height, uint32_t level_index,
uint32_t rgb_offset, uint32_t rgb_length, uint32_t alpha_offset, uint32_t alpha_length,
uint32_t decode_flags,
bool basis_file_has_alpha_slices,
bool is_video,
uint32_t output_row_pitch_in_blocks_or_pixels,
basisu_transcoder_state* pState,
uint32_t output_rows_in_pixels)
{
if (((uint64_t)rgb_offset + rgb_length) > (uint64_t)compressed_data_length)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: source data buffer too small (color)\n");
return false;
}
if (alpha_length)
{
if (((uint64_t)alpha_offset + alpha_length) > (uint64_t)compressed_data_length)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: source data buffer too small (alpha)\n");
return false;
}
}
else
{
assert(!basis_file_has_alpha_slices);
}
if ((target_format == transcoder_texture_format::cTFPVRTC1_4_RGB) || (target_format == transcoder_texture_format::cTFPVRTC1_4_RGBA))
{
if ((!basisu::is_pow2(num_blocks_x * 4)) || (!basisu::is_pow2(num_blocks_y * 4)))
{
// PVRTC1 only supports power of 2 dimensions
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: PVRTC1 only supports power of 2 dimensions\n");
return false;
}
}
if ((target_format == transcoder_texture_format::cTFPVRTC1_4_RGBA) && (!basis_file_has_alpha_slices))
{
// Switch to PVRTC1 RGB if the input doesn't have alpha.
target_format = transcoder_texture_format::cTFPVRTC1_4_RGB;
}
const bool transcode_alpha_data_to_opaque_formats = (decode_flags & cDecodeFlagsTranscodeAlphaDataToOpaqueFormats) != 0;
const uint32_t bytes_per_block_or_pixel = basis_get_bytes_per_block_or_pixel(target_format);
const uint32_t total_slice_blocks = num_blocks_x * num_blocks_y;
if (!basis_validate_output_buffer_size(target_format, output_blocks_buf_size_in_blocks_or_pixels, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, output_rows_in_pixels, total_slice_blocks))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: output buffer size too small\n");
return false;
}
bool status = false;
const uint8_t* pData = pCompressed_data + rgb_offset;
uint32_t data_len = rgb_length;
bool is_alpha_slice = false;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
{
pData = pCompressed_data + alpha_offset;
data_len = alpha_length;
is_alpha_slice = true;
}
switch (target_format)
{
case transcoder_texture_format::cTFETC1_RGB:
{
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cETC1, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC1 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC1_RGB:
{
#if !BASISD_SUPPORT_DXT1
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: BC1/DXT1 unsupported\n");
return false;
#else
// status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cBC1, bytes_per_block_or_pixel, true, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC1 failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFBC4_R:
{
#if !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: BC4/DXT5A unsupported\n");
return false;
#else
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cBC4, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC4 failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFPVRTC1_4_RGB:
{
#if !BASISD_SUPPORT_PVRTC1
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: PVRTC1 4 unsupported\n");
return false;
#else
// output_row_pitch_in_blocks_or_pixels is actually ignored because we're transcoding to PVRTC1. (Print a dev warning if it's != 0?)
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cPVRTC1_4_RGB, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to PVRTC1 4 RGB failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
{
#if !BASISD_SUPPORT_PVRTC1
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: PVRTC1 4 unsupported\n");
return false;
#else
assert(basis_file_has_alpha_slices);
assert(alpha_length);
// Temp buffer to hold alpha block endpoint/selector indices
basisu::vector<uint32_t> temp_block_indices(total_slice_blocks);
// First transcode alpha data to temp buffer
//status = transcode_slice(pData, data_size, slice_index + 1, &temp_block_indices[0], total_slice_blocks, block_format::cIndices, sizeof(uint32_t), decode_flags, pSlice_descs[slice_index].m_num_blocks_x, pState);
status = transcode_slice(&temp_block_indices[0], num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cIndices, sizeof(uint32_t), false, is_video, true, level_index, orig_width, orig_height, num_blocks_x, pState, false, nullptr, 0);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to PVRTC1 4 RGBA failed (0)\n");
}
else
{
// output_row_pitch_in_blocks_or_pixels is actually ignored because we're transcoding to PVRTC1. (Print a dev warning if it's != 0?)
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGBA, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState, &temp_block_indices[0]);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cPVRTC1_4_RGBA, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, &temp_block_indices[0], 0);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to PVRTC1 4 RGBA failed (1)\n");
}
}
break;
#endif
}
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
{
#if !BASISD_SUPPORT_BC7_MODE5
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: BC7 unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
// We used to support transcoding just alpha to BC7 - but is that useful at all?
// First transcode the color slice. The cBC7_M5_COLOR transcoder will output opaque mode 5 blocks.
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC7_M5_COLOR, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cBC7_M5_COLOR, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if ((status) && (basis_file_has_alpha_slices))
{
// Now transcode the alpha slice. The cBC7_M5_ALPHA transcoder will now change the opaque mode 5 blocks to blocks with alpha.
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC7_M5_ALPHA, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cBC7_M5_ALPHA, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
}
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC7 failed (0)\n");
}
break;
#endif
}
case transcoder_texture_format::cTFETC2_RGBA:
{
#if !BASISD_SUPPORT_ETC2_EAC_A8
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: ETC2 EAC A8 unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
if (basis_file_has_alpha_slices)
{
// First decode the alpha data
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_A8, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cETC2_EAC_A8, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
}
else
{
//write_opaque_alpha_blocks(pSlice_descs[slice_index].m_num_blocks_x, pSlice_descs[slice_index].m_num_blocks_y, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_A8, 16, output_row_pitch_in_blocks_or_pixels);
basisu_transcoder::write_opaque_alpha_blocks(num_blocks_x, num_blocks_y, pOutput_blocks, block_format::cETC2_EAC_A8, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
// Now decode the color data
//status = transcode_slice(pData, data_size, slice_index, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC1, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice((uint8_t *)pOutput_blocks + 8, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cETC1, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC2 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC2 A failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFBC3_RGBA:
{
#if !BASISD_SUPPORT_DXT1
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: DXT1 unsupported\n");
return false;
#elif !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: DXT5A unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
// First decode the alpha data
if (basis_file_has_alpha_slices)
{
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cBC4, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
}
else
{
basisu_transcoder::write_opaque_alpha_blocks(num_blocks_x, num_blocks_y, pOutput_blocks, block_format::cBC4, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
// Now decode the color data. Forbid 3 color blocks, which aren't allowed in BC3.
//status = transcode_slice(pData, data_size, slice_index, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC1, 16, decode_flags | cDecodeFlagsBC1ForbidThreeColorBlocks, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice((uint8_t *)pOutput_blocks + 8, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cBC1, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC3 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC3 A failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFBC5_RG:
{
#if !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: DXT5A unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
//bool transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
// uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const bool is_video, const bool is_alpha_slice, const uint32_t level_index, const uint32_t orig_width, const uint32_t orig_height, uint32_t output_row_pitch_in_blocks_or_pixels = 0,
// basisu_transcoder_state* pState = nullptr, bool astc_transcode_alpha = false, void* pAlpha_blocks = nullptr, uint32_t output_rows_in_pixels = 0);
// Decode the R data (actually the green channel of the color data slice in the basis file)
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cBC4, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (status)
{
if (basis_file_has_alpha_slices)
{
// Decode the G data (actually the green channel of the alpha data slice in the basis file)
//status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice((uint8_t *)pOutput_blocks + 8, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cBC4, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC5 1 failed\n");
}
}
else
{
basisu_transcoder::write_opaque_alpha_blocks(num_blocks_x, num_blocks_y, (uint8_t*)pOutput_blocks + 8, block_format::cBC4, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC5 channel 0 failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFASTC_4x4_RGBA:
{
#if !BASISD_SUPPORT_ASTC
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: ASTC unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
if (basis_file_has_alpha_slices)
{
// First decode the alpha data to the output (we're using the output texture as a temp buffer here).
//status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cIndices, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cIndices, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (status)
{
// Now decode the color data and transcode to ASTC. The transcoder function will read the alpha selector data from the output texture as it converts and
// transcode both the alpha and color data at the same time to ASTC.
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cASTC_4x4, 16, decode_flags | cDecodeFlagsOutputHasAlphaIndices, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cASTC_4x4, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, true, nullptr, output_rows_in_pixels);
}
}
else
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cASTC_4x4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cASTC_4x4, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ASTC failed (0)\n");
}
break;
#endif
}
case transcoder_texture_format::cTFATC_RGB:
{
#if !BASISD_SUPPORT_ATC
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: ATC unsupported\n");
return false;
#else
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cATC_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cATC_RGB, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ATC_RGB failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFATC_RGBA:
{
#if !BASISD_SUPPORT_ATC
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: ATC unsupported\n");
return false;
#elif !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: DXT5A unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
// First decode the alpha data
if (basis_file_has_alpha_slices)
{
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cBC4, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
}
else
{
basisu_transcoder::write_opaque_alpha_blocks(num_blocks_x, num_blocks_y, pOutput_blocks, block_format::cBC4, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
//status = transcode_slice(pData, data_size, slice_index, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cATC_RGB, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice((uint8_t *)pOutput_blocks + 8, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cATC_RGB, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ATC RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ATC A failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFPVRTC2_4_RGB:
{
#if !BASISD_SUPPORT_PVRTC2
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: PVRTC2 unsupported\n");
return false;
#else
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC2_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cPVRTC2_4_RGB, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to cPVRTC2_4_RGB failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
{
#if !BASISD_SUPPORT_PVRTC2
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: PVRTC2 unsupported\n");
return false;
#else
if (basis_file_has_alpha_slices)
{
// First decode the alpha data to the output (we're using the output texture as a temp buffer here).
//status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cIndices, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cIndices, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to failed\n");
}
else
{
// Now decode the color data and transcode to PVRTC2 RGBA.
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC2_4_RGBA, bytes_per_block_or_pixel, decode_flags | cDecodeFlagsOutputHasAlphaIndices, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cPVRTC2_4_RGBA, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, true, nullptr, output_rows_in_pixels);
}
}
else
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC2_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cPVRTC2_4_RGB, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to cPVRTC2_4_RGBA failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFRGBA32:
{
// Raw 32bpp pixels, decoded in the usual raster order (NOT block order) into an image in memory.
// First decode the alpha data
if (basis_file_has_alpha_slices)
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cA32, sizeof(uint32_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cA32, sizeof(uint32_t), false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
else
status = true;
if (status)
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, basis_file_has_alpha_slices ? block_format::cRGB32 : block_format::cRGBA32, sizeof(uint32_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, basis_file_has_alpha_slices ? block_format::cRGB32 : block_format::cRGBA32, sizeof(uint32_t), false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to RGBA32 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to RGBA32 A failed\n");
}
break;
}
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
{
// Raw 16bpp pixels, decoded in the usual raster order (NOT block order) into an image in memory.
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, (fmt == transcoder_texture_format::cTFRGB565) ? block_format::cRGB565 : block_format::cBGR565, sizeof(uint16_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, (target_format == transcoder_texture_format::cTFRGB565) ? block_format::cRGB565 : block_format::cBGR565, sizeof(uint16_t), false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to RGB565 RGB failed\n");
}
break;
}
case transcoder_texture_format::cTFRGBA4444:
{
// Raw 16bpp pixels, decoded in the usual raster order (NOT block order) into an image in memory.
// First decode the alpha data
if (basis_file_has_alpha_slices)
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGBA4444_ALPHA, sizeof(uint16_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cRGBA4444_ALPHA, sizeof(uint16_t), false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
else
status = true;
if (status)
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, basis_file_has_alpha_slices ? block_format::cRGBA4444_COLOR : block_format::cRGBA4444_COLOR_OPAQUE, sizeof(uint16_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, basis_file_has_alpha_slices ? block_format::cRGBA4444_COLOR : block_format::cRGBA4444_COLOR_OPAQUE, sizeof(uint16_t), false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to RGBA4444 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to RGBA4444 A failed\n");
}
break;
}
case transcoder_texture_format::cTFFXT1_RGB:
{
#if !BASISD_SUPPORT_FXT1
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: FXT1 unsupported\n");
return false;
#else
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cFXT1_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cFXT1_RGB, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to FXT1_RGB failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFETC2_EAC_R11:
{
#if !BASISD_SUPPORT_ETC2_EAC_RG11
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: EAC_RG11 unsupported\n");
return false;
#else
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC2_EAC_R11 failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFETC2_EAC_RG11:
{
#if !BASISD_SUPPORT_ETC2_EAC_RG11
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: EAC_RG11 unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
if (basis_file_has_alpha_slices)
{
// First decode the alpha data to G
//status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice((uint8_t *)pOutput_blocks + 8, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
}
else
{
basisu_transcoder::write_opaque_alpha_blocks(num_blocks_x, num_blocks_y, (uint8_t*)pOutput_blocks + 8, block_format::cETC2_EAC_R11, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
// Now decode the color data to R
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC2_EAC_R11 R failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC2_EAC_R11 G failed\n");
}
break;
#endif
}
default:
{
assert(0);
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: Invalid fmt\n");
break;
}
}
return status;
}
basisu_lowlevel_uastc_transcoder::basisu_lowlevel_uastc_transcoder()
{
}
bool basisu_lowlevel_uastc_transcoder::transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, bool has_alpha, const uint32_t orig_width, const uint32_t orig_height, uint32_t output_row_pitch_in_blocks_or_pixels,
basisu_transcoder_state* pState, uint32_t output_rows_in_pixels, int channel0, int channel1, uint32_t decode_flags)
{
BASISU_NOTE_UNUSED(pState);
BASISU_NOTE_UNUSED(bc1_allow_threecolor_blocks);
assert(g_transcoder_initialized);
if (!g_transcoder_initialized)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: Transcoder not globally initialized.\n");
return false;
}
#if BASISD_SUPPORT_UASTC
const uint32_t total_blocks = num_blocks_x * num_blocks_y;
if (!output_row_pitch_in_blocks_or_pixels)
{
if (basis_block_format_is_uncompressed(fmt))
output_row_pitch_in_blocks_or_pixels = orig_width;
else
{
if (fmt == block_format::cFXT1_RGB)
output_row_pitch_in_blocks_or_pixels = (orig_width + 7) / 8;
else
output_row_pitch_in_blocks_or_pixels = num_blocks_x;
}
}
if (basis_block_format_is_uncompressed(fmt))
{
if (!output_rows_in_pixels)
output_rows_in_pixels = orig_height;
}
uint32_t total_expected_block_bytes = sizeof(uastc_block) * total_blocks;
if (image_data_size < total_expected_block_bytes)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: image_data_size < total_expected_block_bytes The file is corrupted or this is a bug.\n");
return false;
}
const uastc_block* pSource_block = reinterpret_cast<const uastc_block *>(pImage_data);
const bool high_quality = (decode_flags & cDecodeFlagsHighQuality) != 0;
const bool from_alpha = has_alpha && (decode_flags & cDecodeFlagsTranscodeAlphaDataToOpaqueFormats) != 0;
bool status = false;
if ((fmt == block_format::cPVRTC1_4_RGB) || (fmt == block_format::cPVRTC1_4_RGBA))
{
if (fmt == block_format::cPVRTC1_4_RGBA)
transcode_uastc_to_pvrtc1_4_rgba((const uastc_block*)pImage_data, pDst_blocks, num_blocks_x, num_blocks_y, high_quality);
else
transcode_uastc_to_pvrtc1_4_rgb((const uastc_block *)pImage_data, pDst_blocks, num_blocks_x, num_blocks_y, high_quality, from_alpha);
}
else
{
for (uint32_t block_y = 0; block_y < num_blocks_y; ++block_y)
{
void* pDst_block = (uint8_t*)pDst_blocks + block_y * output_row_pitch_in_blocks_or_pixels * output_block_or_pixel_stride_in_bytes;
for (uint32_t block_x = 0; block_x < num_blocks_x; ++block_x, ++pSource_block, pDst_block = (uint8_t *)pDst_block + output_block_or_pixel_stride_in_bytes)
{
switch (fmt)
{
case block_format::cETC1:
{
if (from_alpha)
status = transcode_uastc_to_etc1(*pSource_block, pDst_block, 3);
else
status = transcode_uastc_to_etc1(*pSource_block, pDst_block);
break;
}
case block_format::cETC2_RGBA:
{
status = transcode_uastc_to_etc2_rgba(*pSource_block, pDst_block);
break;
}
case block_format::cBC1:
{
status = transcode_uastc_to_bc1(*pSource_block, pDst_block, high_quality);
break;
}
case block_format::cBC3:
{
status = transcode_uastc_to_bc3(*pSource_block, pDst_block, high_quality);
break;
}
case block_format::cBC4:
{
if (channel0 < 0)
channel0 = 0;
status = transcode_uastc_to_bc4(*pSource_block, pDst_block, high_quality, channel0);
break;
}
case block_format::cBC5:
{
if (channel0 < 0)
channel0 = 0;
if (channel1 < 0)
channel1 = 3;
status = transcode_uastc_to_bc5(*pSource_block, pDst_block, high_quality, channel0, channel1);
break;
}
case block_format::cBC7:
case block_format::cBC7_M5_COLOR: // for consistently with ETC1S
{
status = transcode_uastc_to_bc7(*pSource_block, pDst_block);
break;
}
case block_format::cASTC_4x4:
{
status = transcode_uastc_to_astc(*pSource_block, pDst_block);
break;
}
case block_format::cETC2_EAC_R11:
{
if (channel0 < 0)
channel0 = 0;
status = transcode_uastc_to_etc2_eac_r11(*pSource_block, pDst_block, high_quality, channel0);
break;
}
case block_format::cETC2_EAC_RG11:
{
if (channel0 < 0)
channel0 = 0;
if (channel1 < 0)
channel1 = 3;
status = transcode_uastc_to_etc2_eac_rg11(*pSource_block, pDst_block, high_quality, channel0, channel1);
break;
}
case block_format::cRGBA32:
{
color32 block_pixels[4][4];
status = unpack_uastc(*pSource_block, (color32 *)block_pixels, false);
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
for (uint32_t y = 0; y < max_y; y++)
{
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = block_pixels[y][x];
pDst_pixels[0 + 4 * x] = c.r;
pDst_pixels[1 + 4 * x] = c.g;
pDst_pixels[2 + 4 * x] = c.b;
pDst_pixels[3 + 4 * x] = c.a;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
break;
}
case block_format::cRGB565:
case block_format::cBGR565:
{
color32 block_pixels[4][4];
status = unpack_uastc(*pSource_block, (color32*)block_pixels, false);
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
for (uint32_t y = 0; y < max_y; y++)
{
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = block_pixels[y][x];
const uint16_t packed = (fmt == block_format::cRGB565) ? static_cast<uint16_t>((mul_8(c.r, 31) << 11) | (mul_8(c.g, 63) << 5) | mul_8(c.b, 31)) :
static_cast<uint16_t>((mul_8(c.b, 31) << 11) | (mul_8(c.g, 63) << 5) | mul_8(c.r, 31));
pDst_pixels[x * 2 + 0] = (uint8_t)(packed & 0xFF);
pDst_pixels[x * 2 + 1] = (uint8_t)((packed >> 8) & 0xFF);
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444:
{
color32 block_pixels[4][4];
status = unpack_uastc(*pSource_block, (color32*)block_pixels, false);
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
for (uint32_t y = 0; y < max_y; y++)
{
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = block_pixels[y][x];
const uint16_t packed = static_cast<uint16_t>((mul_8(c.r, 15) << 12) | (mul_8(c.g, 15) << 8) | (mul_8(c.b, 15) << 4) | mul_8(c.a, 15));
pDst_pixels[x * 2 + 0] = (uint8_t)(packed & 0xFF);
pDst_pixels[x * 2 + 1] = (uint8_t)((packed >> 8) & 0xFF);
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
default:
assert(0);
break;
}
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: Transcoder failed to unpack a UASTC block - this is a bug, or the data was corrupted\n");
return false;
}
} // block_x
} // block_y
}
return true;
#else
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: UASTC is unsupported\n");
BASISU_NOTE_UNUSED(decode_flags);
BASISU_NOTE_UNUSED(channel0);
BASISU_NOTE_UNUSED(channel1);
BASISU_NOTE_UNUSED(output_rows_in_pixels);
BASISU_NOTE_UNUSED(output_row_pitch_in_blocks_or_pixels);
BASISU_NOTE_UNUSED(output_block_or_pixel_stride_in_bytes);
BASISU_NOTE_UNUSED(fmt);
BASISU_NOTE_UNUSED(image_data_size);
BASISU_NOTE_UNUSED(pImage_data);
BASISU_NOTE_UNUSED(num_blocks_x);
BASISU_NOTE_UNUSED(num_blocks_y);
BASISU_NOTE_UNUSED(pDst_blocks);
return false;
#endif
}
bool basisu_lowlevel_uastc_transcoder::transcode_image(
transcoder_texture_format target_format,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
const uint8_t* pCompressed_data, uint32_t compressed_data_length,
uint32_t num_blocks_x, uint32_t num_blocks_y, uint32_t orig_width, uint32_t orig_height, uint32_t level_index,
uint32_t slice_offset, uint32_t slice_length,
uint32_t decode_flags,
bool has_alpha,
bool is_video,
uint32_t output_row_pitch_in_blocks_or_pixels,
basisu_transcoder_state* pState,
uint32_t output_rows_in_pixels,
int channel0, int channel1)
{
BASISU_NOTE_UNUSED(is_video);
BASISU_NOTE_UNUSED(level_index);
if (((uint64_t)slice_offset + slice_length) > (uint64_t)compressed_data_length)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: source data buffer too small\n");
return false;
}
if ((target_format == transcoder_texture_format::cTFPVRTC1_4_RGB) || (target_format == transcoder_texture_format::cTFPVRTC1_4_RGBA))
{
if ((!basisu::is_pow2(num_blocks_x * 4)) || (!basisu::is_pow2(num_blocks_y * 4)))
{
// PVRTC1 only supports power of 2 dimensions
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: PVRTC1 only supports power of 2 dimensions\n");
return false;
}
}
if ((target_format == transcoder_texture_format::cTFPVRTC1_4_RGBA) && (!has_alpha))
{
// Switch to PVRTC1 RGB if the input doesn't have alpha.
target_format = transcoder_texture_format::cTFPVRTC1_4_RGB;
}
const bool transcode_alpha_data_to_opaque_formats = (decode_flags & cDecodeFlagsTranscodeAlphaDataToOpaqueFormats) != 0;
const uint32_t bytes_per_block_or_pixel = basis_get_bytes_per_block_or_pixel(target_format);
const uint32_t total_slice_blocks = num_blocks_x * num_blocks_y;
if (!basis_validate_output_buffer_size(target_format, output_blocks_buf_size_in_blocks_or_pixels, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, output_rows_in_pixels, total_slice_blocks))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: output buffer size too small\n");
return false;
}
bool status = false;
// UASTC4x4
switch (target_format)
{
case transcoder_texture_format::cTFETC1_RGB:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cETC1,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels, channel0, channel1);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to ETC1 failed\n");
}
break;
}
case transcoder_texture_format::cTFETC2_RGBA:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_RGBA, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cETC2_RGBA,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels, channel0, channel1);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to ETC2 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC1_RGB:
{
// TODO: ETC1S allows BC1 from alpha channel. That doesn't seem actually useful, though.
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBC1,
bytes_per_block_or_pixel, true, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels, channel0, channel1);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to BC1 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC3_RGBA:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC3, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBC3,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels, channel0, channel1);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to BC3 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC4_R:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
// nullptr, 0,
// ((has_alpha) && (transcode_alpha_data_to_opaque_formats)) ? 3 : 0);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBC4,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels,
((has_alpha) && (transcode_alpha_data_to_opaque_formats)) ? 3 : 0);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to BC4 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC5_RG:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC5, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
// nullptr, 0,
// 0, 3);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBC5,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels,
0, 3);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to BC5 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC7, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBC7,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to BC7 failed\n");
}
break;
}
case transcoder_texture_format::cTFPVRTC1_4_RGB:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cPVRTC1_4_RGB,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to PVRTC1 RGB 4bpp failed\n");
}
break;
}
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGBA, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cPVRTC1_4_RGBA,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to PVRTC1 RGBA 4bpp failed\n");
}
break;
}
case transcoder_texture_format::cTFASTC_4x4_RGBA:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cASTC_4x4, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cASTC_4x4,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to ASTC 4x4 failed\n");
}
break;
}
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFATC_RGBA:
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: UASTC->ATC currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFFXT1_RGB:
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: UASTC->FXT1 currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFPVRTC2_4_RGB:
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: UASTC->PVRTC2 currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: UASTC->PVRTC2 currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFETC2_EAC_R11:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
// nullptr, 0,
// ((has_alpha) && (transcode_alpha_data_to_opaque_formats)) ? 3 : 0);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cETC2_EAC_R11,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels,
((has_alpha) && (transcode_alpha_data_to_opaque_formats)) ? 3 : 0);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to EAC R11 failed\n");
}
break;
}
case transcoder_texture_format::cTFETC2_EAC_RG11:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_RG11, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
// nullptr, 0,
// 0, 3);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cETC2_EAC_RG11,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels,
0, 3);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_basisu_lowlevel_uastc_transcodertranscoder::transcode_image: transcode_slice() to EAC RG11 failed\n");
}
break;
}
case transcoder_texture_format::cTFRGBA32:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGBA32, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cRGBA32,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to RGBA32 failed\n");
}
break;
}
case transcoder_texture_format::cTFRGB565:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGB565, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cRGB565,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to RGB565 failed\n");
}
break;
}
case transcoder_texture_format::cTFBGR565:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBGR565, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBGR565,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to RGB565 failed\n");
}
break;
}
case transcoder_texture_format::cTFRGBA4444:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGBA4444, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cRGBA4444,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to RGBA4444 failed\n");
}
break;
}
default:
{
assert(0);
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: Invalid format\n");
break;
}
}
return status;
}
basisu_transcoder::basisu_transcoder() :
m_ready_to_transcode(false)
{
}
bool basisu_transcoder::validate_file_checksums(const void* pData, uint32_t data_size, bool full_validation) const
{
if (!validate_header(pData, data_size))
return false;
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
#if !BASISU_NO_HEADER_OR_DATA_CRC16_CHECKS
if (crc16(&pHeader->m_data_size, sizeof(basis_file_header) - BASISU_OFFSETOF(basis_file_header, m_data_size), 0) != pHeader->m_header_crc16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header CRC check failed\n");
return false;
}
if (full_validation)
{
if (crc16(reinterpret_cast<const uint8_t*>(pData) + sizeof(basis_file_header), pHeader->m_data_size, 0) != pHeader->m_data_crc16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: data CRC check failed\n");
return false;
}
}
#endif
return true;
}
bool basisu_transcoder::validate_header_quick(const void* pData, uint32_t data_size) const
{
if (data_size <= sizeof(basis_file_header))
return false;
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
if ((pHeader->m_sig != basis_file_header::cBASISSigValue) || (pHeader->m_ver != BASISD_SUPPORTED_BASIS_VERSION) || (pHeader->m_header_size != sizeof(basis_file_header)))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header has an invalid signature, or file version is unsupported\n");
return false;
}
uint32_t expected_file_size = sizeof(basis_file_header) + pHeader->m_data_size;
if (data_size < expected_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: source buffer is too small\n");
return false;
}
if ((!pHeader->m_total_slices) || (!pHeader->m_total_images))
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: header is invalid\n");
return false;
}
if ((pHeader->m_slice_desc_file_ofs >= data_size) ||
((data_size - pHeader->m_slice_desc_file_ofs) < (sizeof(basis_slice_desc) * pHeader->m_total_slices))
)
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: passed in buffer is too small or data is corrupted\n");
return false;
}
return true;
}
bool basisu_transcoder::validate_header(const void* pData, uint32_t data_size) const
{
if (data_size <= sizeof(basis_file_header))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: input source buffer is too small\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
if ((pHeader->m_sig != basis_file_header::cBASISSigValue) || (pHeader->m_ver != BASISD_SUPPORTED_BASIS_VERSION) || (pHeader->m_header_size != sizeof(basis_file_header)))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header has an invalid signature, or file version is unsupported\n");
return false;
}
uint32_t expected_file_size = sizeof(basis_file_header) + pHeader->m_data_size;
if (data_size < expected_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: input source buffer is too small, or header is corrupted\n");
return false;
}
if ((!pHeader->m_total_images) || (!pHeader->m_total_slices))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: invalid basis file (total images or slices are 0)\n");
return false;
}
if (pHeader->m_total_images > pHeader->m_total_slices)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: invalid basis file (too many images)\n");
return false;
}
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices)
{
if (pHeader->m_total_slices & 1)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: invalid alpha .basis file\n");
return false;
}
}
// This flag dates back to pre-Basis Universal, when .basis supported full ETC1 too.
if ((pHeader->m_flags & cBASISHeaderFlagETC1S) == 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: Invalid .basis file (ETC1S check)\n");
return false;
}
}
else
{
if ((pHeader->m_flags & cBASISHeaderFlagETC1S) != 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: Invalid .basis file (ETC1S check)\n");
return false;
}
}
if ((pHeader->m_slice_desc_file_ofs >= data_size) ||
((data_size - pHeader->m_slice_desc_file_ofs) < (sizeof(basis_slice_desc) * pHeader->m_total_slices))
)
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: passed in buffer is too small or data is corrupted\n");
return false;
}
return true;
}
basis_texture_type basisu_transcoder::get_texture_type(const void* pData, uint32_t data_size) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_texture_type: header validation failed\n");
return cBASISTexType2DArray;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
basis_texture_type btt = static_cast<basis_texture_type>(static_cast<uint8_t>(pHeader->m_tex_type));
if (btt >= cBASISTexTypeTotal)
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: header's texture type field is invalid\n");
return cBASISTexType2DArray;
}
return btt;
}
bool basisu_transcoder::get_userdata(const void* pData, uint32_t data_size, uint32_t& userdata0, uint32_t& userdata1) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_userdata: header validation failed\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
userdata0 = pHeader->m_userdata0;
userdata1 = pHeader->m_userdata1;
return true;
}
uint32_t basisu_transcoder::get_total_images(const void* pData, uint32_t data_size) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header validation failed\n");
return 0;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
return pHeader->m_total_images;
}
basis_tex_format basisu_transcoder::get_tex_format(const void* pData, uint32_t data_size) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header validation failed\n");
return basis_tex_format::cETC1S;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
return (basis_tex_format)(uint32_t)pHeader->m_tex_format;
}
bool basisu_transcoder::get_image_info(const void* pData, uint32_t data_size, basisu_image_info& image_info, uint32_t image_index) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: header validation failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, 0);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: invalid slice index\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
uint32_t total_levels = 1;
for (uint32_t i = slice_index + 1; i < pHeader->m_total_slices; i++)
if (pSlice_descs[i].m_image_index == image_index)
total_levels = basisu::maximum<uint32_t>(total_levels, pSlice_descs[i].m_level_index + 1);
else
break;
if (total_levels > 16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: invalid image_index\n");
return false;
}
const basis_slice_desc& slice_desc = pSlice_descs[slice_index];
image_info.m_image_index = image_index;
image_info.m_total_levels = total_levels;
image_info.m_alpha_flag = false;
// For ETC1S, if anything has alpha all images have alpha. For UASTC, we only report alpha when the image actually has alpha.
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
image_info.m_alpha_flag = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
else
image_info.m_alpha_flag = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
image_info.m_iframe_flag = (slice_desc.m_flags & cSliceDescFlagsFrameIsIFrame) != 0;
image_info.m_width = slice_desc.m_num_blocks_x * 4;
image_info.m_height = slice_desc.m_num_blocks_y * 4;
image_info.m_orig_width = slice_desc.m_orig_width;
image_info.m_orig_height = slice_desc.m_orig_height;
image_info.m_num_blocks_x = slice_desc.m_num_blocks_x;
image_info.m_num_blocks_y = slice_desc.m_num_blocks_y;
image_info.m_total_blocks = image_info.m_num_blocks_x * image_info.m_num_blocks_y;
image_info.m_first_slice_index = slice_index;
return true;
}
uint32_t basisu_transcoder::get_total_image_levels(const void* pData, uint32_t data_size, uint32_t image_index) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: header validation failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, 0);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: failed finding slice\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
uint32_t total_levels = 1;
for (uint32_t i = slice_index + 1; i < pHeader->m_total_slices; i++)
if (pSlice_descs[i].m_image_index == image_index)
total_levels = basisu::maximum<uint32_t>(total_levels, pSlice_descs[i].m_level_index + 1);
else
break;
const uint32_t cMaxSupportedLevels = 16;
if (total_levels > cMaxSupportedLevels)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: invalid image levels!\n");
return false;
}
return total_levels;
}
bool basisu_transcoder::get_image_level_desc(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index, uint32_t& orig_width, uint32_t& orig_height, uint32_t& total_blocks) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_desc: header validation failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, level_index);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_desc: failed finding slice\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_desc: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
const basis_slice_desc& slice_desc = pSlice_descs[slice_index];
orig_width = slice_desc.m_orig_width;
orig_height = slice_desc.m_orig_height;
total_blocks = slice_desc.m_num_blocks_x * slice_desc.m_num_blocks_y;
return true;
}
bool basisu_transcoder::get_image_level_info(const void* pData, uint32_t data_size, basisu_image_level_info& image_info, uint32_t image_index, uint32_t level_index) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_info: validate_file_checksums failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, level_index);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_info: failed finding slice\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_info: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
const basis_slice_desc& slice_desc = pSlice_descs[slice_index];
image_info.m_image_index = image_index;
image_info.m_level_index = level_index;
// For ETC1S, if anything has alpha all images have alpha. For UASTC, we only report alpha when the image actually has alpha.
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
image_info.m_alpha_flag = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
else
image_info.m_alpha_flag = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
image_info.m_iframe_flag = (slice_desc.m_flags & cSliceDescFlagsFrameIsIFrame) != 0;
image_info.m_width = slice_desc.m_num_blocks_x * 4;
image_info.m_height = slice_desc.m_num_blocks_y * 4;
image_info.m_orig_width = slice_desc.m_orig_width;
image_info.m_orig_height = slice_desc.m_orig_height;
image_info.m_num_blocks_x = slice_desc.m_num_blocks_x;
image_info.m_num_blocks_y = slice_desc.m_num_blocks_y;
image_info.m_total_blocks = image_info.m_num_blocks_x * image_info.m_num_blocks_y;
image_info.m_first_slice_index = slice_index;
image_info.m_rgb_file_ofs = slice_desc.m_file_ofs;
image_info.m_rgb_file_len = slice_desc.m_file_size;
image_info.m_alpha_file_ofs = 0;
image_info.m_alpha_file_len = 0;
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices)
{
assert((slice_index + 1) < (int)pHeader->m_total_slices);
image_info.m_alpha_file_ofs = pSlice_descs[slice_index + 1].m_file_ofs;
image_info.m_alpha_file_len = pSlice_descs[slice_index + 1].m_file_size;
}
}
return true;
}
bool basisu_transcoder::get_file_info(const void* pData, uint32_t data_size, basisu_file_info& file_info) const
{
if (!validate_file_checksums(pData, data_size, false))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: validate_file_checksums failed\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
file_info.m_version = pHeader->m_ver;
file_info.m_total_header_size = sizeof(basis_file_header) + pHeader->m_total_slices * sizeof(basis_slice_desc);
file_info.m_total_selectors = pHeader->m_total_selectors;
file_info.m_selector_codebook_ofs = pHeader->m_selector_cb_file_ofs;
file_info.m_selector_codebook_size = pHeader->m_selector_cb_file_size;
file_info.m_total_endpoints = pHeader->m_total_endpoints;
file_info.m_endpoint_codebook_ofs = pHeader->m_endpoint_cb_file_ofs;
file_info.m_endpoint_codebook_size = pHeader->m_endpoint_cb_file_size;
file_info.m_tables_ofs = pHeader->m_tables_file_ofs;
file_info.m_tables_size = pHeader->m_tables_file_size;
file_info.m_tex_format = static_cast<basis_tex_format>(static_cast<int>(pHeader->m_tex_format));
file_info.m_etc1s = (pHeader->m_tex_format == (int)basis_tex_format::cETC1S);
file_info.m_y_flipped = (pHeader->m_flags & cBASISHeaderFlagYFlipped) != 0;
file_info.m_has_alpha_slices = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
const uint32_t total_slices = pHeader->m_total_slices;
file_info.m_slice_info.resize(total_slices);
file_info.m_slices_size = 0;
file_info.m_tex_type = static_cast<basis_texture_type>(static_cast<uint8_t>(pHeader->m_tex_type));
if (file_info.m_tex_type > cBASISTexTypeTotal)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: invalid texture type, file is corrupted\n");
return false;
}
file_info.m_us_per_frame = pHeader->m_us_per_frame;
file_info.m_userdata0 = pHeader->m_userdata0;
file_info.m_userdata1 = pHeader->m_userdata1;
file_info.m_image_mipmap_levels.resize(0);
file_info.m_image_mipmap_levels.resize(pHeader->m_total_images);
file_info.m_total_images = pHeader->m_total_images;
for (uint32_t i = 0; i < total_slices; i++)
{
file_info.m_slices_size += pSlice_descs[i].m_file_size;
basisu_slice_info& slice_info = file_info.m_slice_info[i];
slice_info.m_orig_width = pSlice_descs[i].m_orig_width;
slice_info.m_orig_height = pSlice_descs[i].m_orig_height;
slice_info.m_width = pSlice_descs[i].m_num_blocks_x * 4;
slice_info.m_height = pSlice_descs[i].m_num_blocks_y * 4;
slice_info.m_num_blocks_x = pSlice_descs[i].m_num_blocks_x;
slice_info.m_num_blocks_y = pSlice_descs[i].m_num_blocks_y;
slice_info.m_total_blocks = slice_info.m_num_blocks_x * slice_info.m_num_blocks_y;
slice_info.m_compressed_size = pSlice_descs[i].m_file_size;
slice_info.m_slice_index = i;
slice_info.m_image_index = pSlice_descs[i].m_image_index;
slice_info.m_level_index = pSlice_descs[i].m_level_index;
slice_info.m_unpacked_slice_crc16 = pSlice_descs[i].m_slice_data_crc16;
slice_info.m_alpha_flag = (pSlice_descs[i].m_flags & cSliceDescFlagsHasAlpha) != 0;
slice_info.m_iframe_flag = (pSlice_descs[i].m_flags & cSliceDescFlagsFrameIsIFrame) != 0;
if (pSlice_descs[i].m_image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: slice desc's image index is invalid\n");
return false;
}
file_info.m_image_mipmap_levels[pSlice_descs[i].m_image_index] = basisu::maximum<uint32_t>(file_info.m_image_mipmap_levels[pSlice_descs[i].m_image_index], pSlice_descs[i].m_level_index + 1);
if (file_info.m_image_mipmap_levels[pSlice_descs[i].m_image_index] > 16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: slice mipmap level is invalid\n");
return false;
}
}
return true;
}
bool basisu_transcoder::start_transcoding(const void* pData, uint32_t data_size)
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (m_lowlevel_etc1s_decoder.m_local_endpoints.size())
{
m_lowlevel_etc1s_decoder.clear();
}
if (pHeader->m_flags & cBASISHeaderFlagUsesGlobalCodebook)
{
if (!m_lowlevel_etc1s_decoder.get_global_codebooks())
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: File uses global codebooks, but set_global_codebooks() has not been called\n");
return false;
}
if (!m_lowlevel_etc1s_decoder.get_global_codebooks()->get_endpoints().size())
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: Global codebooks must be unpacked first by calling start_transcoding()\n");
return false;
}
if ((m_lowlevel_etc1s_decoder.get_global_codebooks()->get_endpoints().size() != pHeader->m_total_endpoints) ||
(m_lowlevel_etc1s_decoder.get_global_codebooks()->get_selectors().size() != pHeader->m_total_selectors))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: Global codebook size mismatch (wrong codebooks for file).\n");
return false;
}
if (!pHeader->m_tables_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted (2)\n");
return false;
}
if (pHeader->m_tables_file_ofs > data_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (4)\n");
return false;
}
if (pHeader->m_tables_file_size > (data_size - pHeader->m_tables_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (5)\n");
return false;
}
}
else
{
if (!pHeader->m_endpoint_cb_file_size || !pHeader->m_selector_cb_file_size || !pHeader->m_tables_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted (0)\n");
return false;
}
if ((pHeader->m_endpoint_cb_file_ofs > data_size) || (pHeader->m_selector_cb_file_ofs > data_size) || (pHeader->m_tables_file_ofs > data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (1)\n");
return false;
}
if (pHeader->m_endpoint_cb_file_size > (data_size - pHeader->m_endpoint_cb_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (2)\n");
return false;
}
if (pHeader->m_selector_cb_file_size > (data_size - pHeader->m_selector_cb_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (3)\n");
return false;
}
if (pHeader->m_tables_file_size > (data_size - pHeader->m_tables_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (3)\n");
return false;
}
if (!m_lowlevel_etc1s_decoder.decode_palettes(
pHeader->m_total_endpoints, pDataU8 + pHeader->m_endpoint_cb_file_ofs, pHeader->m_endpoint_cb_file_size,
pHeader->m_total_selectors, pDataU8 + pHeader->m_selector_cb_file_ofs, pHeader->m_selector_cb_file_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: decode_palettes failed\n");
return false;
}
}
if (!m_lowlevel_etc1s_decoder.decode_tables(pDataU8 + pHeader->m_tables_file_ofs, pHeader->m_tables_file_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: decode_tables failed\n");
return false;
}
}
else
{
// Nothing special to do for UASTC.
if (m_lowlevel_etc1s_decoder.m_local_endpoints.size())
{
m_lowlevel_etc1s_decoder.clear();
}
}
m_ready_to_transcode = true;
return true;
}
bool basisu_transcoder::stop_transcoding()
{
m_lowlevel_etc1s_decoder.clear();
m_ready_to_transcode = false;
return true;
}
bool basisu_transcoder::transcode_slice(const void* pData, uint32_t data_size, uint32_t slice_index, void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, uint32_t decode_flags, uint32_t output_row_pitch_in_blocks_or_pixels, basisu_transcoder_state* pState, void *pAlpha_blocks, uint32_t output_rows_in_pixels, int channel0, int channel1) const
{
if (!m_ready_to_transcode)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: must call start_transcoding first\n");
return false;
}
if (decode_flags & cDecodeFlagsPVRTCDecodeToNextPow2)
{
// TODO: Not yet supported
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: cDecodeFlagsPVRTCDecodeToNextPow2 currently unsupported\n");
return false;
}
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
if (slice_index >= pHeader->m_total_slices)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: slice_index >= pHeader->m_total_slices\n");
return false;
}
const basis_slice_desc& slice_desc = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs)[slice_index];
uint32_t total_4x4_blocks = slice_desc.m_num_blocks_x * slice_desc.m_num_blocks_y;
if (basis_block_format_is_uncompressed(fmt))
{
// Assume the output buffer is orig_width by orig_height
if (!output_row_pitch_in_blocks_or_pixels)
output_row_pitch_in_blocks_or_pixels = slice_desc.m_orig_width;
if (!output_rows_in_pixels)
output_rows_in_pixels = slice_desc.m_orig_height;
// Now make sure the output buffer is large enough, or we'll overwrite memory.
if (output_blocks_buf_size_in_blocks_or_pixels < (output_rows_in_pixels * output_row_pitch_in_blocks_or_pixels))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: output_blocks_buf_size_in_blocks_or_pixels < (output_rows_in_pixels * output_row_pitch_in_blocks_or_pixels)\n");
return false;
}
}
else if (fmt == block_format::cFXT1_RGB)
{
const uint32_t num_blocks_fxt1_x = (slice_desc.m_orig_width + 7) / 8;
const uint32_t num_blocks_fxt1_y = (slice_desc.m_orig_height + 3) / 4;
const uint32_t total_blocks_fxt1 = num_blocks_fxt1_x * num_blocks_fxt1_y;
if (output_blocks_buf_size_in_blocks_or_pixels < total_blocks_fxt1)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: output_blocks_buf_size_in_blocks_or_pixels < total_blocks_fxt1\n");
return false;
}
}
else
{
if (output_blocks_buf_size_in_blocks_or_pixels < total_4x4_blocks)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: output_blocks_buf_size_in_blocks_or_pixels < total_blocks\n");
return false;
}
}
if (fmt != block_format::cETC1)
{
if ((fmt == block_format::cPVRTC1_4_RGB) || (fmt == block_format::cPVRTC1_4_RGBA))
{
if ((!basisu::is_pow2(slice_desc.m_num_blocks_x * 4)) || (!basisu::is_pow2(slice_desc.m_num_blocks_y * 4)))
{
// PVRTC1 only supports power of 2 dimensions
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: PVRTC1 only supports power of 2 dimensions\n");
return false;
}
}
}
if (slice_desc.m_file_ofs > data_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: invalid slice_desc.m_file_ofs, or passed in buffer too small\n");
return false;
}
const uint32_t data_size_left = data_size - slice_desc.m_file_ofs;
if (data_size_left < slice_desc.m_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: invalid slice_desc.m_file_size, or passed in buffer too small\n");
return false;
}
if (pHeader->m_tex_format == (int)basis_tex_format::cUASTC4x4)
{
return m_lowlevel_uastc_decoder.transcode_slice(pOutput_blocks, slice_desc.m_num_blocks_x, slice_desc.m_num_blocks_y,
pDataU8 + slice_desc.m_file_ofs, slice_desc.m_file_size,
fmt, output_block_or_pixel_stride_in_bytes, (decode_flags & cDecodeFlagsBC1ForbidThreeColorBlocks) == 0, *pHeader, slice_desc, output_row_pitch_in_blocks_or_pixels, pState,
output_rows_in_pixels, channel0, channel1, decode_flags);
}
else
{
return m_lowlevel_etc1s_decoder.transcode_slice(pOutput_blocks, slice_desc.m_num_blocks_x, slice_desc.m_num_blocks_y,
pDataU8 + slice_desc.m_file_ofs, slice_desc.m_file_size,
fmt, output_block_or_pixel_stride_in_bytes, (decode_flags & cDecodeFlagsBC1ForbidThreeColorBlocks) == 0, *pHeader, slice_desc, output_row_pitch_in_blocks_or_pixels, pState,
(decode_flags & cDecodeFlagsOutputHasAlphaIndices) != 0, pAlpha_blocks, output_rows_in_pixels);
}
}
int basisu_transcoder::find_first_slice_index(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index) const
{
BASISU_NOTE_UNUSED(data_size);
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
// For very large basis files this search could be painful
// TODO: Binary search this
for (uint32_t slice_iter = 0; slice_iter < pHeader->m_total_slices; slice_iter++)
{
const basis_slice_desc& slice_desc = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs)[slice_iter];
if ((slice_desc.m_image_index == image_index) && (slice_desc.m_level_index == level_index))
return slice_iter;
}
BASISU_DEVEL_ERROR("basisu_transcoder::find_first_slice_index: didn't find slice\n");
return -1;
}
int basisu_transcoder::find_slice(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index, bool alpha_data) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::find_slice: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs);
// For very large basis files this search could be painful
// TODO: Binary search this
for (uint32_t slice_iter = 0; slice_iter < pHeader->m_total_slices; slice_iter++)
{
const basis_slice_desc& slice_desc = pSlice_descs[slice_iter];
if ((slice_desc.m_image_index == image_index) && (slice_desc.m_level_index == level_index))
{
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
const bool slice_alpha = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
if (slice_alpha == alpha_data)
return slice_iter;
}
else
{
return slice_iter;
}
}
}
BASISU_DEVEL_ERROR("basisu_transcoder::find_slice: didn't find slice\n");
return -1;
}
void basisu_transcoder::write_opaque_alpha_blocks(
uint32_t num_blocks_x, uint32_t num_blocks_y,
void* pOutput_blocks, block_format fmt,
uint32_t block_stride_in_bytes, uint32_t output_row_pitch_in_blocks_or_pixels)
{
// 'num_blocks_y', 'pOutput_blocks' & 'block_stride_in_bytes' unused
// when disabling BASISD_SUPPORT_ETC2_EAC_A8 *and* BASISD_SUPPORT_DXT5A
BASISU_NOTE_UNUSED(num_blocks_y);
BASISU_NOTE_UNUSED(pOutput_blocks);
BASISU_NOTE_UNUSED(block_stride_in_bytes);
if (!output_row_pitch_in_blocks_or_pixels)
output_row_pitch_in_blocks_or_pixels = num_blocks_x;
if ((fmt == block_format::cETC2_EAC_A8) || (fmt == block_format::cETC2_EAC_R11))
{
#if BASISD_SUPPORT_ETC2_EAC_A8
eac_block blk;
blk.m_base = 255;
blk.m_multiplier = 1;
blk.m_table = 13;
// Selectors are all 4's
memcpy(&blk.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
for (uint32_t y = 0; y < num_blocks_y; y++)
{
uint32_t dst_ofs = y * output_row_pitch_in_blocks_or_pixels * block_stride_in_bytes;
for (uint32_t x = 0; x < num_blocks_x; x++)
{
memcpy((uint8_t*)pOutput_blocks + dst_ofs, &blk, sizeof(blk));
dst_ofs += block_stride_in_bytes;
}
}
#endif
}
else if (fmt == block_format::cBC4)
{
#if BASISD_SUPPORT_DXT5A
dxt5a_block blk;
blk.m_endpoints[0] = 255;
blk.m_endpoints[1] = 255;
memset(blk.m_selectors, 0, sizeof(blk.m_selectors));
for (uint32_t y = 0; y < num_blocks_y; y++)
{
uint32_t dst_ofs = y * output_row_pitch_in_blocks_or_pixels * block_stride_in_bytes;
for (uint32_t x = 0; x < num_blocks_x; x++)
{
memcpy((uint8_t*)pOutput_blocks + dst_ofs, &blk, sizeof(blk));
dst_ofs += block_stride_in_bytes;
}
}
#endif
}
}
bool basisu_transcoder::transcode_image_level(
const void* pData, uint32_t data_size,
uint32_t image_index, uint32_t level_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
transcoder_texture_format fmt,
uint32_t decode_flags, uint32_t output_row_pitch_in_blocks_or_pixels, basisu_transcoder_state *pState, uint32_t output_rows_in_pixels) const
{
const uint32_t bytes_per_block_or_pixel = basis_get_bytes_per_block_or_pixel(fmt);
if (!m_ready_to_transcode)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: must call start_transcoding() first\n");
return false;
}
//const bool transcode_alpha_data_to_opaque_formats = (decode_flags & cDecodeFlagsTranscodeAlphaDataToOpaqueFormats) != 0;
if (decode_flags & cDecodeFlagsPVRTCDecodeToNextPow2)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: cDecodeFlagsPVRTCDecodeToNextPow2 currently unsupported\n");
// TODO: Not yet supported
return false;
}
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs);
const bool basis_file_has_alpha_slices = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
int slice_index = find_first_slice_index(pData, data_size, image_index, level_index);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: failed finding slice index\n");
// Unable to find the requested image/level
return false;
}
if ((fmt == transcoder_texture_format::cTFPVRTC1_4_RGBA) && (!basis_file_has_alpha_slices))
{
// Switch to PVRTC1 RGB if the input doesn't have alpha.
fmt = transcoder_texture_format::cTFPVRTC1_4_RGB;
}
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (pSlice_descs[slice_index].m_flags & cSliceDescFlagsHasAlpha)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file has out of order alpha slice\n");
// The first slice shouldn't have alpha data in a properly formed basis file
return false;
}
if (basis_file_has_alpha_slices)
{
// The alpha data should immediately follow the color data, and have the same resolution.
if ((slice_index + 1U) >= pHeader->m_total_slices)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file has missing alpha slice\n");
// basis file is missing the alpha slice
return false;
}
// Basic sanity checks
if ((pSlice_descs[slice_index + 1].m_flags & cSliceDescFlagsHasAlpha) == 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file has missing alpha slice (flag check)\n");
// This slice should have alpha data
return false;
}
if ((pSlice_descs[slice_index].m_num_blocks_x != pSlice_descs[slice_index + 1].m_num_blocks_x) || (pSlice_descs[slice_index].m_num_blocks_y != pSlice_descs[slice_index + 1].m_num_blocks_y))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file slice dimensions bad\n");
// Alpha slice should have been the same res as the color slice
return false;
}
}
}
bool status = false;
const uint32_t total_slice_blocks = pSlice_descs[slice_index].m_num_blocks_x * pSlice_descs[slice_index].m_num_blocks_y;
if (((fmt == transcoder_texture_format::cTFPVRTC1_4_RGB) || (fmt == transcoder_texture_format::cTFPVRTC1_4_RGBA)) && (output_blocks_buf_size_in_blocks_or_pixels > total_slice_blocks))
{
// The transcoder doesn't write beyond total_slice_blocks, so we need to clear the rest ourselves.
// For GL usage, PVRTC1 4bpp image size is (max(width, 8)* max(height, 8) * 4 + 7) / 8.
// However, for KTX and internally in Basis this formula isn't used, it's just ((width+3)/4) * ((height+3)/4) * bytes_per_block_or_pixel. This is all the transcoder actually writes to memory.
memset(static_cast<uint8_t*>(pOutput_blocks) + total_slice_blocks * bytes_per_block_or_pixel, 0, (output_blocks_buf_size_in_blocks_or_pixels - total_slice_blocks) * bytes_per_block_or_pixel);
}
if (pHeader->m_tex_format == (int)basis_tex_format::cUASTC4x4)
{
const basis_slice_desc* pSlice_desc = &pSlice_descs[slice_index];
// Use the container independent image transcode method.
status = m_lowlevel_uastc_decoder.transcode_image(fmt,
pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels,
(const uint8_t*)pData, data_size, pSlice_desc->m_num_blocks_x, pSlice_desc->m_num_blocks_y, pSlice_desc->m_orig_width, pSlice_desc->m_orig_height, pSlice_desc->m_level_index,
pSlice_desc->m_file_ofs, pSlice_desc->m_file_size,
decode_flags, basis_file_has_alpha_slices, pHeader->m_tex_type == cBASISTexTypeVideoFrames, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
}
else
{
// ETC1S
const basis_slice_desc* pSlice_desc = &pSlice_descs[slice_index];
const basis_slice_desc* pAlpha_slice_desc = basis_file_has_alpha_slices ? &pSlice_descs[slice_index + 1] : nullptr;
assert((pSlice_desc->m_flags & cSliceDescFlagsHasAlpha) == 0);
if (pAlpha_slice_desc)
{
// Basic sanity checks
assert((pAlpha_slice_desc->m_flags & cSliceDescFlagsHasAlpha) != 0);
assert(pSlice_desc->m_num_blocks_x == pAlpha_slice_desc->m_num_blocks_x);
assert(pSlice_desc->m_num_blocks_y == pAlpha_slice_desc->m_num_blocks_y);
assert(pSlice_desc->m_level_index == pAlpha_slice_desc->m_level_index);
}
// Use the container independent image transcode method.
status = m_lowlevel_etc1s_decoder.transcode_image(fmt,
pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels,
(const uint8_t *)pData, data_size, pSlice_desc->m_num_blocks_x, pSlice_desc->m_num_blocks_y, pSlice_desc->m_orig_width, pSlice_desc->m_orig_height, pSlice_desc->m_level_index,
pSlice_desc->m_file_ofs, pSlice_desc->m_file_size,
(pAlpha_slice_desc != nullptr) ? (uint32_t)pAlpha_slice_desc->m_file_ofs : 0U, (pAlpha_slice_desc != nullptr) ? (uint32_t)pAlpha_slice_desc->m_file_size : 0U,
decode_flags, basis_file_has_alpha_slices, pHeader->m_tex_type == cBASISTexTypeVideoFrames, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
} // if (pHeader->m_tex_format == (int)basis_tex_format::cUASTC4x4)
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: Returning false\n");
}
else
{
//BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: Returning true\n");
}
return status;
}
uint32_t basis_get_bytes_per_block_or_pixel(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB:
case transcoder_texture_format::cTFBC1_RGB:
case transcoder_texture_format::cTFBC4_R:
case transcoder_texture_format::cTFPVRTC1_4_RGB:
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
case transcoder_texture_format::cTFETC2_EAC_R11:
return 8;
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
case transcoder_texture_format::cTFETC2_RGBA:
case transcoder_texture_format::cTFBC3_RGBA:
case transcoder_texture_format::cTFBC5_RG:
case transcoder_texture_format::cTFASTC_4x4_RGBA:
case transcoder_texture_format::cTFATC_RGBA:
case transcoder_texture_format::cTFFXT1_RGB:
case transcoder_texture_format::cTFETC2_EAC_RG11:
return 16;
case transcoder_texture_format::cTFRGBA32:
return sizeof(uint32_t);
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return sizeof(uint16_t);
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return 0;
}
const char* basis_get_format_name(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB: return "ETC1_RGB";
case transcoder_texture_format::cTFBC1_RGB: return "BC1_RGB";
case transcoder_texture_format::cTFBC4_R: return "BC4_R";
case transcoder_texture_format::cTFPVRTC1_4_RGB: return "PVRTC1_4_RGB";
case transcoder_texture_format::cTFPVRTC1_4_RGBA: return "PVRTC1_4_RGBA";
case transcoder_texture_format::cTFBC7_RGBA: return "BC7_RGBA";
case transcoder_texture_format::cTFBC7_ALT: return "BC7_RGBA";
case transcoder_texture_format::cTFETC2_RGBA: return "ETC2_RGBA";
case transcoder_texture_format::cTFBC3_RGBA: return "BC3_RGBA";
case transcoder_texture_format::cTFBC5_RG: return "BC5_RG";
case transcoder_texture_format::cTFASTC_4x4_RGBA: return "ASTC_RGBA";
case transcoder_texture_format::cTFATC_RGB: return "ATC_RGB";
case transcoder_texture_format::cTFATC_RGBA: return "ATC_RGBA";
case transcoder_texture_format::cTFRGBA32: return "RGBA32";
case transcoder_texture_format::cTFRGB565: return "RGB565";
case transcoder_texture_format::cTFBGR565: return "BGR565";
case transcoder_texture_format::cTFRGBA4444: return "RGBA4444";
case transcoder_texture_format::cTFFXT1_RGB: return "FXT1_RGB";
case transcoder_texture_format::cTFPVRTC2_4_RGB: return "PVRTC2_4_RGB";
case transcoder_texture_format::cTFPVRTC2_4_RGBA: return "PVRTC2_4_RGBA";
case transcoder_texture_format::cTFETC2_EAC_R11: return "ETC2_EAC_R11";
case transcoder_texture_format::cTFETC2_EAC_RG11: return "ETC2_EAC_RG11";
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return "";
}
const char* basis_get_block_format_name(block_format fmt)
{
switch (fmt)
{
case block_format::cETC1: return "ETC1";
case block_format::cBC1: return "BC1";
case block_format::cPVRTC1_4_RGB: return "PVRTC1_4_RGB";
case block_format::cPVRTC1_4_RGBA: return "PVRTC1_4_RGBA";
case block_format::cBC7: return "BC7";
case block_format::cETC2_RGBA: return "ETC2_RGBA";
case block_format::cBC3: return "BC3";
case block_format::cASTC_4x4: return "ASTC_4x4";
case block_format::cATC_RGB: return "ATC_RGB";
case block_format::cRGBA32: return "RGBA32";
case block_format::cRGB565: return "RGB565";
case block_format::cBGR565: return "BGR565";
case block_format::cRGBA4444: return "RGBA4444";
case block_format::cFXT1_RGB: return "FXT1_RGB";
case block_format::cPVRTC2_4_RGB: return "PVRTC2_4_RGB";
case block_format::cPVRTC2_4_RGBA: return "PVRTC2_4_RGBA";
case block_format::cETC2_EAC_R11: return "ETC2_EAC_R11";
case block_format::cETC2_EAC_RG11: return "ETC2_EAC_RG11";
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return "";
}
const char* basis_get_texture_type_name(basis_texture_type tex_type)
{
switch (tex_type)
{
case cBASISTexType2D: return "2D";
case cBASISTexType2DArray: return "2D array";
case cBASISTexTypeCubemapArray: return "cubemap array";
case cBASISTexTypeVideoFrames: return "video";
case cBASISTexTypeVolume: return "3D";
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_texture_type_name: Invalid tex_type\n");
break;
}
return "";
}
bool basis_transcoder_format_has_alpha(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC2_RGBA:
case transcoder_texture_format::cTFBC3_RGBA:
case transcoder_texture_format::cTFASTC_4x4_RGBA:
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
case transcoder_texture_format::cTFATC_RGBA:
case transcoder_texture_format::cTFRGBA32:
case transcoder_texture_format::cTFRGBA4444:
return true;
default:
break;
}
return false;
}
basisu::texture_format basis_get_basisu_texture_format(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB: return basisu::texture_format::cETC1;
case transcoder_texture_format::cTFBC1_RGB: return basisu::texture_format::cBC1;
case transcoder_texture_format::cTFBC4_R: return basisu::texture_format::cBC4;
case transcoder_texture_format::cTFPVRTC1_4_RGB: return basisu::texture_format::cPVRTC1_4_RGB;
case transcoder_texture_format::cTFPVRTC1_4_RGBA: return basisu::texture_format::cPVRTC1_4_RGBA;
case transcoder_texture_format::cTFBC7_RGBA: return basisu::texture_format::cBC7;
case transcoder_texture_format::cTFBC7_ALT: return basisu::texture_format::cBC7;
case transcoder_texture_format::cTFETC2_RGBA: return basisu::texture_format::cETC2_RGBA;
case transcoder_texture_format::cTFBC3_RGBA: return basisu::texture_format::cBC3;
case transcoder_texture_format::cTFBC5_RG: return basisu::texture_format::cBC5;
case transcoder_texture_format::cTFASTC_4x4_RGBA: return basisu::texture_format::cASTC4x4;
case transcoder_texture_format::cTFATC_RGB: return basisu::texture_format::cATC_RGB;
case transcoder_texture_format::cTFATC_RGBA: return basisu::texture_format::cATC_RGBA_INTERPOLATED_ALPHA;
case transcoder_texture_format::cTFRGBA32: return basisu::texture_format::cRGBA32;
case transcoder_texture_format::cTFRGB565: return basisu::texture_format::cRGB565;
case transcoder_texture_format::cTFBGR565: return basisu::texture_format::cBGR565;
case transcoder_texture_format::cTFRGBA4444: return basisu::texture_format::cRGBA4444;
case transcoder_texture_format::cTFFXT1_RGB: return basisu::texture_format::cFXT1_RGB;
case transcoder_texture_format::cTFPVRTC2_4_RGB: return basisu::texture_format::cPVRTC2_4_RGBA;
case transcoder_texture_format::cTFPVRTC2_4_RGBA: return basisu::texture_format::cPVRTC2_4_RGBA;
case transcoder_texture_format::cTFETC2_EAC_R11: return basisu::texture_format::cETC2_R11_EAC;
case transcoder_texture_format::cTFETC2_EAC_RG11: return basisu::texture_format::cETC2_RG11_EAC;
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return basisu::texture_format::cInvalidTextureFormat;
}
bool basis_transcoder_format_is_uncompressed(transcoder_texture_format tex_type)
{
switch (tex_type)
{
case transcoder_texture_format::cTFRGBA32:
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return true;
default:
break;
}
return false;
}
bool basis_block_format_is_uncompressed(block_format blk_fmt)
{
switch (blk_fmt)
{
case block_format::cRGB32:
case block_format::cRGBA32:
case block_format::cA32:
case block_format::cRGB565:
case block_format::cBGR565:
case block_format::cRGBA4444:
case block_format::cRGBA4444_COLOR:
case block_format::cRGBA4444_ALPHA:
case block_format::cRGBA4444_COLOR_OPAQUE:
return true;
default:
break;
}
return false;
}
uint32_t basis_get_uncompressed_bytes_per_pixel(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFRGBA32:
return sizeof(uint32_t);
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return sizeof(uint16_t);
default:
break;
}
return 0;
}
uint32_t basis_get_block_width(transcoder_texture_format tex_type)
{
switch (tex_type)
{
case transcoder_texture_format::cTFFXT1_RGB:
return 8;
default:
break;
}
return 4;
}
uint32_t basis_get_block_height(transcoder_texture_format tex_type)
{
BASISU_NOTE_UNUSED(tex_type);
return 4;
}
bool basis_is_format_supported(transcoder_texture_format tex_type, basis_tex_format fmt)
{
if (fmt == basis_tex_format::cUASTC4x4)
{
#if BASISD_SUPPORT_UASTC
switch (tex_type)
{
// These niche formats aren't currently supported for UASTC - everything else is.
case transcoder_texture_format::cTFPVRTC2_4_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFATC_RGBA:
case transcoder_texture_format::cTFFXT1_RGB:
return false;
default:
return true;
}
#endif
}
else
{
switch (tex_type)
{
// ETC1 and uncompressed are always supported.
case transcoder_texture_format::cTFETC1_RGB:
case transcoder_texture_format::cTFRGBA32:
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return true;
#if BASISD_SUPPORT_DXT1
case transcoder_texture_format::cTFBC1_RGB:
return true;
#endif
#if BASISD_SUPPORT_DXT5A
case transcoder_texture_format::cTFBC4_R:
case transcoder_texture_format::cTFBC5_RG:
return true;
#endif
#if BASISD_SUPPORT_DXT1 && BASISD_SUPPORT_DXT5A
case transcoder_texture_format::cTFBC3_RGBA:
return true;
#endif
#if BASISD_SUPPORT_PVRTC1
case transcoder_texture_format::cTFPVRTC1_4_RGB:
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
return true;
#endif
#if BASISD_SUPPORT_BC7_MODE5
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
return true;
#endif
#if BASISD_SUPPORT_ETC2_EAC_A8
case transcoder_texture_format::cTFETC2_RGBA:
return true;
#endif
#if BASISD_SUPPORT_ASTC
case transcoder_texture_format::cTFASTC_4x4_RGBA:
return true;
#endif
#if BASISD_SUPPORT_ATC
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFATC_RGBA:
return true;
#endif
#if BASISD_SUPPORT_FXT1
case transcoder_texture_format::cTFFXT1_RGB:
return true;
#endif
#if BASISD_SUPPORT_PVRTC2
case transcoder_texture_format::cTFPVRTC2_4_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
return true;
#endif
#if BASISD_SUPPORT_ETC2_EAC_RG11
case transcoder_texture_format::cTFETC2_EAC_R11:
case transcoder_texture_format::cTFETC2_EAC_RG11:
return true;
#endif
default:
break;
}
}
return false;
}
// ------------------------------------------------------------------------------------------------------
// UASTC
// ------------------------------------------------------------------------------------------------------
#if BASISD_SUPPORT_UASTC
const astc_bc7_common_partition2_desc g_astc_bc7_common_partitions2[TOTAL_ASTC_BC7_COMMON_PARTITIONS2] =
{
{ 0, 28, false }, { 1, 20, false }, { 2, 16, true }, { 3, 29, false },
{ 4, 91, true }, { 5, 9, false }, { 6, 107, true }, { 7, 72, true },
{ 8, 149, false }, { 9, 204, true }, { 10, 50, false }, { 11, 114, true },
{ 12, 496, true }, { 13, 17, true }, { 14, 78, false }, { 15, 39, true },
{ 17, 252, true }, { 18, 828, true }, { 19, 43, false }, { 20, 156, false },
{ 21, 116, false }, { 22, 210, true }, { 23, 476, true }, { 24, 273, false },
{ 25, 684, true }, { 26, 359, false }, { 29, 246, true }, { 32, 195, true },
{ 33, 694, true }, { 52, 524, true }
};
const bc73_astc2_common_partition_desc g_bc7_3_astc2_common_partitions[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS] =
{
{ 10, 36, 4 }, { 11, 48, 4 }, { 0, 61, 3 }, { 2, 137, 4 },
{ 8, 161, 5 }, { 13, 183, 4 }, { 1, 226, 2 }, { 33, 281, 2 },
{ 40, 302, 3 }, { 20, 307, 4 }, { 21, 479, 0 }, { 58, 495, 3 },
{ 3, 593, 0 }, { 32, 594, 2 }, { 59, 605, 1 }, { 34, 799, 3 },
{ 20, 812, 1 }, { 14, 988, 4 }, { 31, 993, 3 }
};
const astc_bc7_common_partition3_desc g_astc_bc7_common_partitions3[TOTAL_ASTC_BC7_COMMON_PARTITIONS3] =
{
{ 4, 260, 0 }, { 8, 74, 5 }, { 9, 32, 5 }, { 10, 156, 2 },
{ 11, 183, 2 }, { 12, 15, 0 }, { 13, 745, 4 }, { 20, 0, 1 },
{ 35, 335, 1 }, { 36, 902, 5 }, { 57, 254, 0 }
};
const uint8_t g_astc_to_bc7_partition_index_perm_tables[6][3] = { { 0, 1, 2 }, { 1, 2, 0 }, { 2, 0, 1 }, { 2, 1, 0 }, { 0, 2, 1 }, { 1, 0, 2 } };
const uint8_t g_bc7_to_astc_partition_index_perm_tables[6][3] = { { 0, 1, 2 }, { 2, 0, 1 }, { 1, 2, 0 }, { 2, 1, 0 }, { 0, 2, 1 }, { 1, 0, 2 } };
uint32_t bc7_convert_partition_index_3_to_2(uint32_t p, uint32_t k)
{
assert(k < 6);
switch (k >> 1)
{
case 0:
if (p <= 1)
p = 0;
else
p = 1;
break;
case 1:
if (p == 0)
p = 0;
else
p = 1;
break;
case 2:
if ((p == 0) || (p == 2))
p = 0;
else
p = 1;
break;
}
if (k & 1)
p = 1 - p;
return p;
}
static const uint8_t g_zero_pattern[16] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 };
const uint8_t g_astc_bc7_patterns2[TOTAL_ASTC_BC7_COMMON_PARTITIONS2][16] =
{
{ 0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1 }, { 0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1 }, { 1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0 }, { 0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1 },
{ 1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0 }, { 0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1 }, { 1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0 }, { 1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0 },
{ 0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1 }, { 1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0 },
{ 1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0 }, { 1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0 }, { 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0 },
{ 1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1 }, { 0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0 }, { 0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0 },
{ 0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0 }, { 1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1 }, { 1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0 }, { 0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0 },
{ 1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1 }, { 0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0 }, { 1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1 }, { 1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0 },
{ 1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0 }, { 1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0 }
};
const uint8_t g_astc_bc7_patterns3[TOTAL_ASTC_BC7_COMMON_PARTITIONS3][16] =
{
{ 0,0,0,0,0,0,0,0,1,1,2,2,1,1,2,2 }, { 1,1,1,1,1,1,1,1,0,0,0,0,2,2,2,2 }, { 1,1,1,1,0,0,0,0,0,0,0,0,2,2,2,2 }, { 1,1,1,1,2,2,2,2,0,0,0,0,0,0,0,0 },
{ 1,1,2,0,1,1,2,0,1,1,2,0,1,1,2,0 }, { 0,1,1,2,0,1,1,2,0,1,1,2,0,1,1,2 }, { 0,2,1,1,0,2,1,1,0,2,1,1,0,2,1,1 }, { 2,0,0,0,2,0,0,0,2,1,1,1,2,1,1,1 },
{ 2,0,1,2,2,0,1,2,2,0,1,2,2,0,1,2 }, { 1,1,1,1,0,0,0,0,2,2,2,2,1,1,1,1 }, { 0,0,2,2,0,0,1,1,0,0,1,1,0,0,2,2 }
};
const uint8_t g_bc7_3_astc2_patterns2[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS][16] =
{
{ 0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0 }, { 0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0 }, { 1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1 },
{ 1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1 }, { 0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0 }, { 0,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1 }, { 0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1 },
{ 1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0 }, { 0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0 }, { 1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0 },
{ 0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0 }, { 1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0 },
{ 1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0 }, { 0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0 }, { 1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0 }
};
const uint8_t g_astc_bc7_pattern2_anchors[TOTAL_ASTC_BC7_COMMON_PARTITIONS2][3] =
{
{ 0, 2 }, { 0, 3 }, { 1, 0 }, { 0, 3 }, { 7, 0 }, { 0, 2 }, { 3, 0 }, { 7, 0 },
{ 0, 11 }, { 2, 0 }, { 0, 7 }, { 11, 0 }, { 3, 0 }, { 8, 0 }, { 0, 4 }, { 12, 0 },
{ 1, 0 }, { 8, 0 }, { 0, 1 }, { 0, 2 }, { 0, 4 }, { 8, 0 }, { 1, 0 }, { 0, 2 },
{ 4, 0 }, { 0, 1 }, { 4, 0 }, { 1, 0 }, { 4, 0 }, { 1, 0 }
};
const uint8_t g_astc_bc7_pattern3_anchors[TOTAL_ASTC_BC7_COMMON_PARTITIONS3][3] =
{
{ 0, 8, 10 }, { 8, 0, 12 }, { 4, 0, 12 }, { 8, 0, 4 }, { 3, 0, 2 }, { 0, 1, 3 }, { 0, 2, 1 }, { 1, 9, 0 }, { 1, 2, 0 }, { 4, 0, 8 }, { 0, 6, 2 }
};
const uint8_t g_bc7_3_astc2_patterns2_anchors[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS][3] =
{
{ 0, 4 }, { 0, 2 }, { 2, 0 }, { 0, 7 }, { 8, 0 }, { 0, 1 }, { 0, 3 }, { 0, 1 }, { 2, 0 }, { 0, 1 }, { 0, 8 }, { 2, 0 }, { 0, 1 }, { 0, 7 }, { 12, 0 }, { 2, 0 }, { 9, 0 }, { 0, 2 }, { 4, 0 }
};
const uint32_t g_uastc_mode_huff_codes[TOTAL_UASTC_MODES + 1][2] =
{
{ 0x1, 4 },
{ 0x35, 6 },
{ 0x1D, 5 },
{ 0x3, 5 },
{ 0x13, 5 },
{ 0xB, 5 },
{ 0x1B, 5 },
{ 0x7, 5 },
{ 0x17, 5 },
{ 0xF, 5 },
{ 0x2, 3 },
{ 0x0, 2 },
{ 0x6, 3 },
{ 0x1F, 5 },
{ 0xD, 5 },
{ 0x5, 7 },
{ 0x15, 6 },
{ 0x25, 6 },
{ 0x9, 4 },
{ 0x45, 7 } // future expansion
};
// If g_uastc_mode_huff_codes[] changes this table must be updated!
static const uint8_t g_uastc_huff_modes[128] =
{
11,0,10,3,11,15,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,16,12,8,11,18,10,6,11,2,12,13,11,0,10,3,11,17,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,1,12,8,11,18,10,6,11,2,12,13,11,0,10,3,11,
19,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,16,12,8,11,18,10,6,11,2,12,13,11,0,10,3,11,17,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,1,12,8,11,18,10,6,11,2,12,13
};
const uint8_t g_uastc_mode_weight_bits[TOTAL_UASTC_MODES] = { 4, 2, 3, 2, 2, 3, 2, 2, 0, 2, 4, 2, 3, 1, 2, 4, 2, 2, 5 };
const uint8_t g_uastc_mode_weight_ranges[TOTAL_UASTC_MODES] = { 8, 2, 5, 2, 2, 5, 2, 2, 0, 2, 8, 2, 5, 0, 2, 8, 2, 2, 11 };
const uint8_t g_uastc_mode_endpoint_ranges[TOTAL_UASTC_MODES] = { 19, 20, 8, 7, 12, 20, 18, 12, 0, 8, 13, 13, 19, 20, 20, 20, 20, 20, 11 };
const uint8_t g_uastc_mode_subsets[TOTAL_UASTC_MODES] = { 1, 1, 2, 3, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1 };
const uint8_t g_uastc_mode_planes[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1 };
const uint8_t g_uastc_mode_comps[TOTAL_UASTC_MODES] = { 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3 };
const uint8_t g_uastc_mode_has_etc1_bias[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1 };
const uint8_t g_uastc_mode_has_bc1_hint0[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 };
const uint8_t g_uastc_mode_has_bc1_hint1[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1 };
const uint8_t g_uastc_mode_cem[TOTAL_UASTC_MODES] = { 8, 8, 8, 8, 8, 8, 8, 8, 0, 12, 12, 12, 12, 12, 12, 4, 4, 4, 8 };
const uint8_t g_uastc_mode_has_alpha[TOTAL_UASTC_MODES] = { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 };
const uint8_t g_uastc_mode_is_la[TOTAL_UASTC_MODES] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 };
const uint8_t g_uastc_mode_total_hint_bits[TOTAL_UASTC_MODES] = { 15, 15, 15, 15, 15, 15, 15, 15, 0, 23, 17, 17, 17, 23, 23, 23, 23, 23, 15 };
// bits, trits, quints
const int g_astc_bise_range_table[TOTAL_ASTC_RANGES][3] =
{
{ 1, 0, 0 }, // 0-1 0
{ 0, 1, 0 }, // 0-2 1
{ 2, 0, 0 }, // 0-3 2
{ 0, 0, 1 }, // 0-4 3
{ 1, 1, 0 }, // 0-5 4
{ 3, 0, 0 }, // 0-7 5
{ 1, 0, 1 }, // 0-9 6
{ 2, 1, 0 }, // 0-11 7
{ 4, 0, 0 }, // 0-15 8
{ 2, 0, 1 }, // 0-19 9
{ 3, 1, 0 }, // 0-23 10
{ 5, 0, 0 }, // 0-31 11
{ 3, 0, 1 }, // 0-39 12
{ 4, 1, 0 }, // 0-47 13
{ 6, 0, 0 }, // 0-63 14
{ 4, 0, 1 }, // 0-79 15
{ 5, 1, 0 }, // 0-95 16
{ 7, 0, 0 }, // 0-127 17
{ 5, 0, 1 }, // 0-159 18
{ 6, 1, 0 }, // 0-191 19
{ 8, 0, 0 }, // 0-255 20
};
int astc_get_levels(int range)
{
assert(range < (int)BC7ENC_TOTAL_ASTC_RANGES);
return (1 + 2 * g_astc_bise_range_table[range][1] + 4 * g_astc_bise_range_table[range][2]) << g_astc_bise_range_table[range][0];
}
// g_astc_unquant[] is the inverse of g_astc_sorted_order_unquant[]
astc_quant_bin g_astc_unquant[BC7ENC_TOTAL_ASTC_RANGES][256]; // [ASTC encoded endpoint index]
// Taken right from the ASTC spec.
static struct
{
const char* m_pB_str;
uint32_t m_c;
} g_astc_endpoint_unquant_params[BC7ENC_TOTAL_ASTC_RANGES] =
{
{ "", 0 },
{ "", 0 },
{ "", 0 },
{ "", 0 },
{ "000000000", 204, }, // 0-5
{ "", 0 },
{ "000000000", 113, }, // 0-9
{ "b000b0bb0", 93 }, // 0-11
{ "", 0 },
{ "b0000bb00", 54 }, // 0-19
{ "cb000cbcb", 44 }, // 0-23
{ "", 0 },
{ "cb0000cbc", 26 }, // 0-39
{ "dcb000dcb", 22 }, // 0-47
{ "", 0 },
{ "dcb0000dc", 13 }, // 0-79
{ "edcb000ed", 11 }, // 0-95
{ "", 0 },
{ "edcb0000e", 6 }, // 0-159
{ "fedcb000f", 5 }, // 0-191
{ "", 0 },
};
bool astc_is_valid_endpoint_range(uint32_t range)
{
if ((g_astc_bise_range_table[range][1] == 0) && (g_astc_bise_range_table[range][2] == 0))
return true;
return g_astc_endpoint_unquant_params[range].m_c != 0;
}
uint32_t unquant_astc_endpoint(uint32_t packed_bits, uint32_t packed_trits, uint32_t packed_quints, uint32_t range)
{
assert(range < BC7ENC_TOTAL_ASTC_RANGES);
const uint32_t bits = g_astc_bise_range_table[range][0];
const uint32_t trits = g_astc_bise_range_table[range][1];
const uint32_t quints = g_astc_bise_range_table[range][2];
uint32_t val = 0;
if ((!trits) && (!quints))
{
assert(!packed_trits && !packed_quints);
int bits_left = 8;
while (bits_left > 0)
{
uint32_t v = packed_bits;
int n = basisu::minimumi(bits_left, bits);
if (n < (int)bits)
v >>= (bits - n);
assert(v < (1U << n));
val |= (v << (bits_left - n));
bits_left -= n;
}
}
else
{
const uint32_t A = (packed_bits & 1) ? 511 : 0;
const uint32_t C = g_astc_endpoint_unquant_params[range].m_c;
const uint32_t D = trits ? packed_trits : packed_quints;
assert(C);
uint32_t B = 0;
for (uint32_t i = 0; i < 9; i++)
{
B <<= 1;
char c = g_astc_endpoint_unquant_params[range].m_pB_str[i];
if (c != '0')
{
c -= 'a';
B |= ((packed_bits >> c) & 1);
}
}
val = D * C + B;
val = val ^ A;
val = (A & 0x80) | (val >> 2);
}
return val;
}
uint32_t unquant_astc_endpoint_val(uint32_t packed_val, uint32_t range)
{
assert(range < BC7ENC_TOTAL_ASTC_RANGES);
assert(packed_val < (uint32_t)astc_get_levels(range));
const uint32_t bits = g_astc_bise_range_table[range][0];
const uint32_t trits = g_astc_bise_range_table[range][1];
const uint32_t quints = g_astc_bise_range_table[range][2];
if ((!trits) && (!quints))
return unquant_astc_endpoint(packed_val, 0, 0, range);
else if (trits)
return unquant_astc_endpoint(packed_val & ((1 << bits) - 1), packed_val >> bits, 0, range);
else
return unquant_astc_endpoint(packed_val & ((1 << bits) - 1), 0, packed_val >> bits, range);
}
// BC7 - Various BC7 tables/helpers
const uint32_t g_bc7_weights1[2] = { 0, 64 };
const uint32_t g_bc7_weights2[4] = { 0, 21, 43, 64 };
const uint32_t g_bc7_weights3[8] = { 0, 9, 18, 27, 37, 46, 55, 64 };
const uint32_t g_bc7_weights4[16] = { 0, 4, 9, 13, 17, 21, 26, 30, 34, 38, 43, 47, 51, 55, 60, 64 };
const uint32_t g_astc_weights4[16] = { 0, 4, 8, 12, 17, 21, 25, 29, 35, 39, 43, 47, 52, 56, 60, 64 };
const uint32_t g_astc_weights5[32] = { 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64 };
const uint32_t g_astc_weights_3levels[3] = { 0, 32, 64 };
const uint8_t g_bc7_partition1[16] = { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };
const uint8_t g_bc7_partition2[64 * 16] =
{
0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1, 0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1, 0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1, 0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1, 0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1, 0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1, 0,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1, 0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1, 0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,
0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,1, 0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0, 0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0, 0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0, 0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0, 0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,
0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0, 0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0, 0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0, 0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0, 0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0, 0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0, 0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0, 0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,
0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1, 0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1, 0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0, 0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0, 0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0, 0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0, 0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1, 0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,
0,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0, 0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0, 0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0, 0,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0, 0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0, 0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1, 0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1, 0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,
0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0, 0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0, 0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0, 0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0, 0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1, 0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1, 0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0, 0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,
0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1, 0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1, 0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1, 0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1, 0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,1, 0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0, 0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,0, 0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,1
};
const uint8_t g_bc7_partition3[64 * 16] =
{
0,0,1,1,0,0,1,1,0,2,2,1,2,2,2,2, 0,0,0,1,0,0,1,1,2,2,1,1,2,2,2,1, 0,0,0,0,2,0,0,1,2,2,1,1,2,2,1,1, 0,2,2,2,0,0,2,2,0,0,1,1,0,1,1,1, 0,0,0,0,0,0,0,0,1,1,2,2,1,1,2,2, 0,0,1,1,0,0,1,1,0,0,2,2,0,0,2,2, 0,0,2,2,0,0,2,2,1,1,1,1,1,1,1,1, 0,0,1,1,0,0,1,1,2,2,1,1,2,2,1,1,
0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2, 0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2, 0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2, 0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2, 0,1,1,2,0,1,1,2,0,1,1,2,0,1,1,2, 0,1,2,2,0,1,2,2,0,1,2,2,0,1,2,2, 0,0,1,1,0,1,1,2,1,1,2,2,1,2,2,2, 0,0,1,1,2,0,0,1,2,2,0,0,2,2,2,0,
0,0,0,1,0,0,1,1,0,1,1,2,1,1,2,2, 0,1,1,1,0,0,1,1,2,0,0,1,2,2,0,0, 0,0,0,0,1,1,2,2,1,1,2,2,1,1,2,2, 0,0,2,2,0,0,2,2,0,0,2,2,1,1,1,1, 0,1,1,1,0,1,1,1,0,2,2,2,0,2,2,2, 0,0,0,1,0,0,0,1,2,2,2,1,2,2,2,1, 0,0,0,0,0,0,1,1,0,1,2,2,0,1,2,2, 0,0,0,0,1,1,0,0,2,2,1,0,2,2,1,0,
0,1,2,2,0,1,2,2,0,0,1,1,0,0,0,0, 0,0,1,2,0,0,1,2,1,1,2,2,2,2,2,2, 0,1,1,0,1,2,2,1,1,2,2,1,0,1,1,0, 0,0,0,0,0,1,1,0,1,2,2,1,1,2,2,1, 0,0,2,2,1,1,0,2,1,1,0,2,0,0,2,2, 0,1,1,0,0,1,1,0,2,0,0,2,2,2,2,2, 0,0,1,1,0,1,2,2,0,1,2,2,0,0,1,1, 0,0,0,0,2,0,0,0,2,2,1,1,2,2,2,1,
0,0,0,0,0,0,0,2,1,1,2,2,1,2,2,2, 0,2,2,2,0,0,2,2,0,0,1,2,0,0,1,1, 0,0,1,1,0,0,1,2,0,0,2,2,0,2,2,2, 0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0, 0,0,0,0,1,1,1,1,2,2,2,2,0,0,0,0, 0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0, 0,1,2,0,2,0,1,2,1,2,0,1,0,1,2,0, 0,0,1,1,2,2,0,0,1,1,2,2,0,0,1,1,
0,0,1,1,1,1,2,2,2,2,0,0,0,0,1,1, 0,1,0,1,0,1,0,1,2,2,2,2,2,2,2,2, 0,0,0,0,0,0,0,0,2,1,2,1,2,1,2,1, 0,0,2,2,1,1,2,2,0,0,2,2,1,1,2,2, 0,0,2,2,0,0,1,1,0,0,2,2,0,0,1,1, 0,2,2,0,1,2,2,1,0,2,2,0,1,2,2,1, 0,1,0,1,2,2,2,2,2,2,2,2,0,1,0,1, 0,0,0,0,2,1,2,1,2,1,2,1,2,1,2,1,
0,1,0,1,0,1,0,1,0,1,0,1,2,2,2,2, 0,2,2,2,0,1,1,1,0,2,2,2,0,1,1,1, 0,0,0,2,1,1,1,2,0,0,0,2,1,1,1,2, 0,0,0,0,2,1,1,2,2,1,1,2,2,1,1,2, 0,2,2,2,0,1,1,1,0,1,1,1,0,2,2,2, 0,0,0,2,1,1,1,2,1,1,1,2,0,0,0,2, 0,1,1,0,0,1,1,0,0,1,1,0,2,2,2,2, 0,0,0,0,0,0,0,0,2,1,1,2,2,1,1,2,
0,1,1,0,0,1,1,0,2,2,2,2,2,2,2,2, 0,0,2,2,0,0,1,1,0,0,1,1,0,0,2,2, 0,0,2,2,1,1,2,2,1,1,2,2,0,0,2,2, 0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2, 0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,1, 0,2,2,2,1,2,2,2,0,2,2,2,1,2,2,2, 0,1,0,1,2,2,2,2,2,2,2,2,2,2,2,2, 0,1,1,1,2,0,1,1,2,2,0,1,2,2,2,0,
};
const uint8_t g_bc7_table_anchor_index_second_subset[64] = { 15,15,15,15,15,15,15,15, 15,15,15,15,15,15,15,15, 15, 2, 8, 2, 2, 8, 8,15, 2, 8, 2, 2, 8, 8, 2, 2, 15,15, 6, 8, 2, 8,15,15, 2, 8, 2, 2, 2,15,15, 6, 6, 2, 6, 8,15,15, 2, 2, 15,15,15,15,15, 2, 2,15 };
const uint8_t g_bc7_table_anchor_index_third_subset_1[64] =
{
3, 3,15,15, 8, 3,15,15, 8, 8, 6, 6, 6, 5, 3, 3, 3, 3, 8,15, 3, 3, 6,10, 5, 8, 8, 6, 8, 5,15,15, 8,15, 3, 5, 6,10, 8,15, 15, 3,15, 5,15,15,15,15, 3,15, 5, 5, 5, 8, 5,10, 5,10, 8,13,15,12, 3, 3
};
const uint8_t g_bc7_table_anchor_index_third_subset_2[64] =
{
15, 8, 8, 3,15,15, 3, 8, 15,15,15,15,15,15,15, 8, 15, 8,15, 3,15, 8,15, 8, 3,15, 6,10,15,15,10, 8, 15, 3,15,10,10, 8, 9,10, 6,15, 8,15, 3, 6, 6, 8, 15, 3,15,15,15,15,15,15, 15,15,15,15, 3,15,15, 8
};
const uint8_t g_bc7_num_subsets[8] = { 3, 2, 3, 2, 1, 1, 1, 2 };
const uint8_t g_bc7_partition_bits[8] = { 4, 6, 6, 6, 0, 0, 0, 6 };
const uint8_t g_bc7_color_index_bitcount[8] = { 3, 3, 2, 2, 2, 2, 4, 2 };
const uint8_t g_bc7_mode_has_p_bits[8] = { 1, 1, 0, 1, 0, 0, 1, 1 };
const uint8_t g_bc7_mode_has_shared_p_bits[8] = { 0, 1, 0, 0, 0, 0, 0, 0 };
const uint8_t g_bc7_color_precision_table[8] = { 4, 6, 5, 7, 5, 7, 7, 5 };
const int8_t g_bc7_alpha_precision_table[8] = { 0, 0, 0, 0, 6, 8, 7, 5 };
const uint8_t g_bc7_alpha_index_bitcount[8] = { 0, 0, 0, 0, 3, 2, 4, 2 };
endpoint_err g_bc7_mode_6_optimal_endpoints[256][2]; // [c][pbit]
endpoint_err g_bc7_mode_5_optimal_endpoints[256]; // [c]
static inline void bc7_set_block_bits(uint8_t* pBytes, uint32_t val, uint32_t num_bits, uint32_t* pCur_ofs)
{
assert((num_bits <= 32) && (val < (1ULL << num_bits)));
while (num_bits)
{
const uint32_t n = basisu::minimumu(8 - (*pCur_ofs & 7), num_bits);
pBytes[*pCur_ofs >> 3] |= (uint8_t)(val << (*pCur_ofs & 7));
val >>= n;
num_bits -= n;
*pCur_ofs += n;
}
assert(*pCur_ofs <= 128);
}
// TODO: Optimize this.
void encode_bc7_block(void* pBlock, const bc7_optimization_results* pResults)
{
const uint32_t best_mode = pResults->m_mode;
const uint32_t total_subsets = g_bc7_num_subsets[best_mode];
const uint32_t total_partitions = 1 << g_bc7_partition_bits[best_mode];
//const uint32_t num_rotations = 1 << g_bc7_rotation_bits[best_mode];
//const uint32_t num_index_selectors = (best_mode == 4) ? 2 : 1;
const uint8_t* pPartition;
if (total_subsets == 1)
pPartition = &g_bc7_partition1[0];
else if (total_subsets == 2)
pPartition = &g_bc7_partition2[pResults->m_partition * 16];
else
pPartition = &g_bc7_partition3[pResults->m_partition * 16];
uint8_t color_selectors[16];
memcpy(color_selectors, pResults->m_selectors, 16);
uint8_t alpha_selectors[16];
memcpy(alpha_selectors, pResults->m_alpha_selectors, 16);
color_quad_u8 low[3], high[3];
memcpy(low, pResults->m_low, sizeof(low));
memcpy(high, pResults->m_high, sizeof(high));
uint32_t pbits[3][2];
memcpy(pbits, pResults->m_pbits, sizeof(pbits));
int anchor[3] = { -1, -1, -1 };
for (uint32_t k = 0; k < total_subsets; k++)
{
uint32_t anchor_index = 0;
if (k)
{
if ((total_subsets == 3) && (k == 1))
anchor_index = g_bc7_table_anchor_index_third_subset_1[pResults->m_partition];
else if ((total_subsets == 3) && (k == 2))
anchor_index = g_bc7_table_anchor_index_third_subset_2[pResults->m_partition];
else
anchor_index = g_bc7_table_anchor_index_second_subset[pResults->m_partition];
}
anchor[k] = anchor_index;
const uint32_t color_index_bits = get_bc7_color_index_size(best_mode, pResults->m_index_selector);
const uint32_t num_color_indices = 1 << color_index_bits;
if (color_selectors[anchor_index] & (num_color_indices >> 1))
{
for (uint32_t i = 0; i < 16; i++)
if (pPartition[i] == k)
color_selectors[i] = (uint8_t)((num_color_indices - 1) - color_selectors[i]);
if (get_bc7_mode_has_seperate_alpha_selectors(best_mode))
{
for (uint32_t q = 0; q < 3; q++)
{
uint8_t t = low[k].m_c[q];
low[k].m_c[q] = high[k].m_c[q];
high[k].m_c[q] = t;
}
}
else
{
color_quad_u8 tmp = low[k];
low[k] = high[k];
high[k] = tmp;
}
if (!g_bc7_mode_has_shared_p_bits[best_mode])
{
uint32_t t = pbits[k][0];
pbits[k][0] = pbits[k][1];
pbits[k][1] = t;
}
}
if (get_bc7_mode_has_seperate_alpha_selectors(best_mode))
{
const uint32_t alpha_index_bits = get_bc7_alpha_index_size(best_mode, pResults->m_index_selector);
const uint32_t num_alpha_indices = 1 << alpha_index_bits;
if (alpha_selectors[anchor_index] & (num_alpha_indices >> 1))
{
for (uint32_t i = 0; i < 16; i++)
if (pPartition[i] == k)
alpha_selectors[i] = (uint8_t)((num_alpha_indices - 1) - alpha_selectors[i]);
uint8_t t = low[k].m_c[3];
low[k].m_c[3] = high[k].m_c[3];
high[k].m_c[3] = t;
}
}
}
uint8_t* pBlock_bytes = (uint8_t*)(pBlock);
memset(pBlock_bytes, 0, BC7ENC_BLOCK_SIZE);
uint32_t cur_bit_ofs = 0;
bc7_set_block_bits(pBlock_bytes, 1 << best_mode, best_mode + 1, &cur_bit_ofs);
if ((best_mode == 4) || (best_mode == 5))
bc7_set_block_bits(pBlock_bytes, pResults->m_rotation, 2, &cur_bit_ofs);
if (best_mode == 4)
bc7_set_block_bits(pBlock_bytes, pResults->m_index_selector, 1, &cur_bit_ofs);
if (total_partitions > 1)
bc7_set_block_bits(pBlock_bytes, pResults->m_partition, (total_partitions == 64) ? 6 : 4, &cur_bit_ofs);
const uint32_t total_comps = (best_mode >= 4) ? 4 : 3;
for (uint32_t comp = 0; comp < total_comps; comp++)
{
for (uint32_t subset = 0; subset < total_subsets; subset++)
{
bc7_set_block_bits(pBlock_bytes, low[subset].m_c[comp], (comp == 3) ? g_bc7_alpha_precision_table[best_mode] : g_bc7_color_precision_table[best_mode], &cur_bit_ofs);
bc7_set_block_bits(pBlock_bytes, high[subset].m_c[comp], (comp == 3) ? g_bc7_alpha_precision_table[best_mode] : g_bc7_color_precision_table[best_mode], &cur_bit_ofs);
}
}
if (g_bc7_mode_has_p_bits[best_mode])
{
for (uint32_t subset = 0; subset < total_subsets; subset++)
{
bc7_set_block_bits(pBlock_bytes, pbits[subset][0], 1, &cur_bit_ofs);
if (!g_bc7_mode_has_shared_p_bits[best_mode])
bc7_set_block_bits(pBlock_bytes, pbits[subset][1], 1, &cur_bit_ofs);
}
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
int idx = x + y * 4;
uint32_t n = pResults->m_index_selector ? get_bc7_alpha_index_size(best_mode, pResults->m_index_selector) : get_bc7_color_index_size(best_mode, pResults->m_index_selector);
if ((idx == anchor[0]) || (idx == anchor[1]) || (idx == anchor[2]))
n--;
bc7_set_block_bits(pBlock_bytes, pResults->m_index_selector ? alpha_selectors[idx] : color_selectors[idx], n, &cur_bit_ofs);
}
}
if (get_bc7_mode_has_seperate_alpha_selectors(best_mode))
{
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
int idx = x + y * 4;
uint32_t n = pResults->m_index_selector ? get_bc7_color_index_size(best_mode, pResults->m_index_selector) : get_bc7_alpha_index_size(best_mode, pResults->m_index_selector);
if ((idx == anchor[0]) || (idx == anchor[1]) || (idx == anchor[2]))
n--;
bc7_set_block_bits(pBlock_bytes, pResults->m_index_selector ? color_selectors[idx] : alpha_selectors[idx], n, &cur_bit_ofs);
}
}
}
assert(cur_bit_ofs == 128);
}
// ASTC
static inline void astc_set_bits_1_to_9(uint32_t* pDst, int& bit_offset, uint32_t code, uint32_t codesize)
{
uint8_t* pBuf = reinterpret_cast<uint8_t*>(pDst);
assert(codesize <= 9);
if (codesize)
{
uint32_t byte_bit_offset = bit_offset & 7;
uint32_t val = code << byte_bit_offset;
uint32_t index = bit_offset >> 3;
pBuf[index] |= (uint8_t)val;
if (codesize > (8 - byte_bit_offset))
pBuf[index + 1] |= (uint8_t)(val >> 8);
bit_offset += codesize;
}
}
void pack_astc_solid_block(void* pDst_block, const color32& color)
{
uint32_t r = color[0], g = color[1], b = color[2];
uint32_t a = color[3];
uint32_t* pOutput = static_cast<uint32_t*>(pDst_block);
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pDst_block);
pBytes[0] = 0xfc; pBytes[1] = 0xfd; pBytes[2] = 0xff; pBytes[3] = 0xff;
pOutput[1] = 0xffffffff;
pOutput[2] = 0;
pOutput[3] = 0;
int bit_pos = 64;
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, r | (r << 8), 16);
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, g | (g << 8), 16);
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, b | (b << 8), 16);
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, a | (a << 8), 16);
}
// See 23.21 https://www.khronos.org/registry/DataFormat/specs/1.3/dataformat.1.3.inline.html#_partition_pattern_generation
#ifdef _DEBUG
static inline uint32_t astc_hash52(uint32_t v)
{
uint32_t p = v;
p ^= p >> 15; p -= p << 17; p += p << 7; p += p << 4;
p ^= p >> 5; p += p << 16; p ^= p >> 7; p ^= p >> 3;
p ^= p << 6; p ^= p >> 17;
return p;
}
int astc_compute_texel_partition(int seed, int x, int y, int z, int partitioncount, bool small_block)
{
if (small_block)
{
x <<= 1; y <<= 1; z <<= 1;
}
seed += (partitioncount - 1) * 1024;
uint32_t rnum = astc_hash52(seed);
uint8_t seed1 = rnum & 0xF;
uint8_t seed2 = (rnum >> 4) & 0xF;
uint8_t seed3 = (rnum >> 8) & 0xF;
uint8_t seed4 = (rnum >> 12) & 0xF;
uint8_t seed5 = (rnum >> 16) & 0xF;
uint8_t seed6 = (rnum >> 20) & 0xF;
uint8_t seed7 = (rnum >> 24) & 0xF;
uint8_t seed8 = (rnum >> 28) & 0xF;
uint8_t seed9 = (rnum >> 18) & 0xF;
uint8_t seed10 = (rnum >> 22) & 0xF;
uint8_t seed11 = (rnum >> 26) & 0xF;
uint8_t seed12 = ((rnum >> 30) | (rnum << 2)) & 0xF;
seed1 *= seed1; seed2 *= seed2;
seed3 *= seed3; seed4 *= seed4;
seed5 *= seed5; seed6 *= seed6;
seed7 *= seed7; seed8 *= seed8;
seed9 *= seed9; seed10 *= seed10;
seed11 *= seed11; seed12 *= seed12;
int sh1, sh2, sh3;
if (seed & 1)
{
sh1 = (seed & 2 ? 4 : 5); sh2 = (partitioncount == 3 ? 6 : 5);
}
else
{
sh1 = (partitioncount == 3 ? 6 : 5); sh2 = (seed & 2 ? 4 : 5);
}
sh3 = (seed & 0x10) ? sh1 : sh2;
seed1 >>= sh1; seed2 >>= sh2; seed3 >>= sh1; seed4 >>= sh2;
seed5 >>= sh1; seed6 >>= sh2; seed7 >>= sh1; seed8 >>= sh2;
seed9 >>= sh3; seed10 >>= sh3; seed11 >>= sh3; seed12 >>= sh3;
int a = seed1 * x + seed2 * y + seed11 * z + (rnum >> 14);
int b = seed3 * x + seed4 * y + seed12 * z + (rnum >> 10);
int c = seed5 * x + seed6 * y + seed9 * z + (rnum >> 6);
int d = seed7 * x + seed8 * y + seed10 * z + (rnum >> 2);
a &= 0x3F; b &= 0x3F; c &= 0x3F; d &= 0x3F;
if (partitioncount < 4) d = 0;
if (partitioncount < 3) c = 0;
if (a >= b && a >= c && a >= d)
return 0;
else if (b >= c && b >= d)
return 1;
else if (c >= d)
return 2;
else
return 3;
}
#endif
static const uint8_t g_astc_quint_encode[125] =
{
0, 1, 2, 3, 4, 8, 9, 10, 11, 12, 16, 17, 18, 19, 20, 24, 25, 26, 27, 28, 5, 13, 21, 29, 6, 32, 33, 34, 35, 36, 40, 41, 42, 43, 44, 48, 49, 50, 51, 52, 56, 57,
58, 59, 60, 37, 45, 53, 61, 14, 64, 65, 66, 67, 68, 72, 73, 74, 75, 76, 80, 81, 82, 83, 84, 88, 89, 90, 91, 92, 69, 77, 85, 93, 22, 96, 97, 98, 99, 100, 104,
105, 106, 107, 108, 112, 113, 114, 115, 116, 120, 121, 122, 123, 124, 101, 109, 117, 125, 30, 102, 103, 70, 71, 38, 110, 111, 78, 79, 46, 118, 119, 86, 87, 54,
126, 127, 94, 95, 62, 39, 47, 55, 63, 31
};
// Encodes 3 values to output, usable for any range that uses quints and bits
static inline void astc_encode_quints(uint32_t* pOutput, const uint8_t* pValues, int& bit_pos, int n)
{
// First extract the trits and the bits from the 5 input values
int quints = 0, bits[3];
const uint32_t bit_mask = (1 << n) - 1;
for (int i = 0; i < 3; i++)
{
static const int s_muls[3] = { 1, 5, 25 };
const int t = pValues[i] >> n;
quints += t * s_muls[i];
bits[i] = pValues[i] & bit_mask;
}
// Encode the quints, by inverting the bit manipulations done by the decoder, converting 3 quints into 7-bits.
// See https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-integer-sequence-encoding
assert(quints < 125);
const int T = g_astc_quint_encode[quints];
// Now interleave the 7 encoded quint bits with the bits to form the encoded output. See table 95-96.
astc_set_bits(pOutput, bit_pos, bits[0] | (astc_extract_bits(T, 0, 2) << n) | (bits[1] << (3 + n)) | (astc_extract_bits(T, 3, 4) << (3 + n * 2)) |
(bits[2] << (5 + n * 2)) | (astc_extract_bits(T, 5, 6) << (5 + n * 3)), 7 + n * 3);
}
// Packs values using ASTC's BISE to output buffer.
static void astc_pack_bise(uint32_t* pDst, const uint8_t* pSrc_vals, int bit_pos, int num_vals, int range)
{
uint32_t temp[5] = { 0, 0, 0, 0, 0 };
const int num_bits = g_astc_bise_range_table[range][0];
int group_size = 0;
if (g_astc_bise_range_table[range][1])
group_size = 5;
else if (g_astc_bise_range_table[range][2])
group_size = 3;
if (group_size)
{
// Range has trits or quints - pack each group of 5 or 3 values
const int total_groups = (group_size == 5) ? ((num_vals + 4) / 5) : ((num_vals + 2) / 3);
for (int group_index = 0; group_index < total_groups; group_index++)
{
uint8_t vals[5] = { 0, 0, 0, 0, 0 };
const int limit = basisu::minimum(group_size, num_vals - group_index * group_size);
for (int i = 0; i < limit; i++)
vals[i] = pSrc_vals[group_index * group_size + i];
if (group_size == 5)
astc_encode_trits(temp, vals, bit_pos, num_bits);
else
astc_encode_quints(temp, vals, bit_pos, num_bits);
}
}
else
{
for (int i = 0; i < num_vals; i++)
astc_set_bits_1_to_9(temp, bit_pos, pSrc_vals[i], num_bits);
}
pDst[0] |= temp[0]; pDst[1] |= temp[1];
pDst[2] |= temp[2]; pDst[3] |= temp[3];
}
const uint32_t ASTC_BLOCK_MODE_BITS = 11;
const uint32_t ASTC_PART_BITS = 2;
const uint32_t ASTC_CEM_BITS = 4;
const uint32_t ASTC_PARTITION_INDEX_BITS = 10;
const uint32_t ASTC_CCS_BITS = 2;
const uint32_t g_uastc_mode_astc_block_mode[TOTAL_UASTC_MODES] = { 0x242, 0x42, 0x53, 0x42, 0x42, 0x53, 0x442, 0x42, 0, 0x42, 0x242, 0x442, 0x53, 0x441, 0x42, 0x242, 0x42, 0x442, 0x253 };
bool pack_astc_block(uint32_t* pDst, const astc_block_desc* pBlock, uint32_t uastc_mode)
{
assert(uastc_mode < TOTAL_UASTC_MODES);
uint8_t* pDst_bytes = reinterpret_cast<uint8_t*>(pDst);
const int total_weights = pBlock->m_dual_plane ? 32 : 16;
// Set mode bits - see Table 146-147
uint32_t mode = g_uastc_mode_astc_block_mode[uastc_mode];
pDst_bytes[0] = (uint8_t)mode;
pDst_bytes[1] = (uint8_t)(mode >> 8);
memset(pDst_bytes + 2, 0, 16 - 2);
int bit_pos = ASTC_BLOCK_MODE_BITS;
// We only support 1-5 bit weight indices
assert(!g_astc_bise_range_table[pBlock->m_weight_range][1] && !g_astc_bise_range_table[pBlock->m_weight_range][2]);
const int bits_per_weight = g_astc_bise_range_table[pBlock->m_weight_range][0];
// See table 143 - PART
astc_set_bits_1_to_9(pDst, bit_pos, pBlock->m_subsets - 1, ASTC_PART_BITS);
if (pBlock->m_subsets == 1)
astc_set_bits_1_to_9(pDst, bit_pos, pBlock->m_cem, ASTC_CEM_BITS);
else
{
// See table 145
astc_set_bits(pDst, bit_pos, pBlock->m_partition_seed, ASTC_PARTITION_INDEX_BITS);
// Table 150 - we assume all CEM's are equal, so write 2 0's along with the CEM
astc_set_bits_1_to_9(pDst, bit_pos, (pBlock->m_cem << 2) & 63, ASTC_CEM_BITS + 2);
}
if (pBlock->m_dual_plane)
{
const int total_weight_bits = total_weights * bits_per_weight;
// See Illegal Encodings 23.24
// https://www.khronos.org/registry/DataFormat/specs/1.3/dataformat.1.3.inline.html#_illegal_encodings
assert((total_weight_bits >= 24) && (total_weight_bits <= 96));
int ccs_bit_pos = 128 - total_weight_bits - ASTC_CCS_BITS;
astc_set_bits_1_to_9(pDst, ccs_bit_pos, pBlock->m_ccs, ASTC_CCS_BITS);
}
const int num_cem_pairs = (1 + (pBlock->m_cem >> 2)) * pBlock->m_subsets;
assert(num_cem_pairs <= 9);
astc_pack_bise(pDst, pBlock->m_endpoints, bit_pos, num_cem_pairs * 2, g_uastc_mode_endpoint_ranges[uastc_mode]);
// Write the weight bits in reverse bit order.
switch (bits_per_weight)
{
case 1:
{
const uint32_t N = 1;
for (int i = 0; i < total_weights; i++)
{
const uint32_t ofs = 128 - N - i;
assert((ofs >> 3) < 16);
pDst_bytes[ofs >> 3] |= (pBlock->m_weights[i] << (ofs & 7));
}
break;
}
case 2:
{
const uint32_t N = 2;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits2[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 128 - N - (i * N);
assert((ofs >> 3) < 16);
pDst_bytes[ofs >> 3] |= (s_reverse_bits2[pBlock->m_weights[i]] << (ofs & 7));
}
break;
}
case 3:
{
const uint32_t N = 3;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits3[8] = { 0, 4, 2, 6, 1, 5, 3, 7 };
const uint32_t ofs = 128 - N - (i * N);
const uint32_t rev = s_reverse_bits3[pBlock->m_weights[i]] << (ofs & 7);
uint32_t index = ofs >> 3;
assert(index < 16);
pDst_bytes[index++] |= rev & 0xFF;
if (index < 16)
pDst_bytes[index++] |= (rev >> 8);
}
break;
}
case 4:
{
const uint32_t N = 4;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits4[16] = { 0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15 };
const int ofs = 128 - N - (i * N);
assert(ofs >= 0 && (ofs >> 3) < 16);
pDst_bytes[ofs >> 3] |= (s_reverse_bits4[pBlock->m_weights[i]] << (ofs & 7));
}
break;
}
case 5:
{
const uint32_t N = 5;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits5[32] = { 0, 16, 8, 24, 4, 20, 12, 28, 2, 18, 10, 26, 6, 22, 14, 30, 1, 17, 9, 25, 5, 21, 13, 29, 3, 19, 11, 27, 7, 23, 15, 31 };
const uint32_t ofs = 128 - N - (i * N);
const uint32_t rev = s_reverse_bits5[pBlock->m_weights[i]] << (ofs & 7);
uint32_t index = ofs >> 3;
assert(index < 16);
pDst_bytes[index++] |= rev & 0xFF;
if (index < 16)
pDst_bytes[index++] |= (rev >> 8);
}
break;
}
default:
assert(0);
break;
}
return true;
}
const uint8_t* get_anchor_indices(uint32_t subsets, uint32_t mode, uint32_t common_pattern, const uint8_t*& pPartition_pattern)
{
const uint8_t* pSubset_anchor_indices = g_zero_pattern;
pPartition_pattern = g_zero_pattern;
if (subsets >= 2)
{
if (subsets == 3)
{
pPartition_pattern = &g_astc_bc7_patterns3[common_pattern][0];
pSubset_anchor_indices = &g_astc_bc7_pattern3_anchors[common_pattern][0];
}
else if (mode == 7)
{
pPartition_pattern = &g_bc7_3_astc2_patterns2[common_pattern][0];
pSubset_anchor_indices = &g_bc7_3_astc2_patterns2_anchors[common_pattern][0];
}
else
{
pPartition_pattern = &g_astc_bc7_patterns2[common_pattern][0];
pSubset_anchor_indices = &g_astc_bc7_pattern2_anchors[common_pattern][0];
}
}
return pSubset_anchor_indices;
}
static inline uint32_t read_bit(const uint8_t* pBuf, uint32_t& bit_offset)
{
uint32_t byte_bits = pBuf[bit_offset >> 3] >> (bit_offset & 7);
bit_offset += 1;
return byte_bits & 1;
}
static inline uint32_t read_bits1_to_9(const uint8_t* pBuf, uint32_t& bit_offset, uint32_t codesize)
{
assert(codesize <= 9);
if (!codesize)
return 0;
if ((BASISD_IS_BIG_ENDIAN) || (!BASISD_USE_UNALIGNED_WORD_READS) || (bit_offset >= 112))
{
const uint8_t* pBytes = &pBuf[bit_offset >> 3U];
uint32_t byte_bit_offset = bit_offset & 7U;
uint32_t bits = pBytes[0] >> byte_bit_offset;
uint32_t bits_read = basisu::minimum<int>(codesize, 8 - byte_bit_offset);
uint32_t bits_remaining = codesize - bits_read;
if (bits_remaining)
bits |= ((uint32_t)pBytes[1]) << bits_read;
bit_offset += codesize;
return bits & ((1U << codesize) - 1U);
}
uint32_t byte_bit_offset = bit_offset & 7U;
const uint16_t w = *(const uint16_t *)(&pBuf[bit_offset >> 3U]);
bit_offset += codesize;
return (w >> byte_bit_offset) & ((1U << codesize) - 1U);
}
inline uint64_t read_bits64(const uint8_t* pBuf, uint32_t& bit_offset, uint32_t codesize)
{
assert(codesize <= 64U);
uint64_t bits = 0;
uint32_t total_bits = 0;
while (total_bits < codesize)
{
uint32_t byte_bit_offset = bit_offset & 7U;
uint32_t bits_to_read = basisu::minimum<int>(codesize - total_bits, 8U - byte_bit_offset);
uint32_t byte_bits = pBuf[bit_offset >> 3U] >> byte_bit_offset;
byte_bits &= ((1U << bits_to_read) - 1U);
bits |= ((uint64_t)(byte_bits) << total_bits);
total_bits += bits_to_read;
bit_offset += bits_to_read;
}
return bits;
}
static inline uint32_t read_bits1_to_9_fst(const uint8_t* pBuf, uint32_t& bit_offset, uint32_t codesize)
{
assert(codesize <= 9);
if (!codesize)
return 0;
assert(bit_offset < 112);
if ((BASISD_IS_BIG_ENDIAN) || (!BASISD_USE_UNALIGNED_WORD_READS))
{
const uint8_t* pBytes = &pBuf[bit_offset >> 3U];
uint32_t byte_bit_offset = bit_offset & 7U;
uint32_t bits = pBytes[0] >> byte_bit_offset;
uint32_t bits_read = basisu::minimum<int>(codesize, 8 - byte_bit_offset);
uint32_t bits_remaining = codesize - bits_read;
if (bits_remaining)
bits |= ((uint32_t)pBytes[1]) << bits_read;
bit_offset += codesize;
return bits & ((1U << codesize) - 1U);
}
uint32_t byte_bit_offset = bit_offset & 7U;
const uint16_t w = *(const uint16_t*)(&pBuf[bit_offset >> 3U]);
bit_offset += codesize;
return (w >> byte_bit_offset)& ((1U << codesize) - 1U);
}
bool unpack_uastc(const uastc_block& blk, unpacked_uastc_block& unpacked, bool blue_contract_check, bool read_hints)
{
//memset(&unpacked, 0, sizeof(unpacked));
#if 0
uint8_t table[128];
memset(table, 0xFF, sizeof(table));
{
for (uint32_t mode = 0; mode <= TOTAL_UASTC_MODES; mode++)
{
const uint32_t code = g_uastc_mode_huff_codes[mode][0];
const uint32_t codesize = g_uastc_mode_huff_codes[mode][1];
table[code] = mode;
uint32_t bits_left = 7 - codesize;
for (uint32_t i = 0; i < (1 << bits_left); i++)
table[code | (i << codesize)] = mode;
}
for (uint32_t i = 0; i < 128; i++)
printf("%u,", table[i]);
exit(0);
}
#endif
const int mode = g_uastc_huff_modes[blk.m_bytes[0] & 127];
if (mode >= (int)TOTAL_UASTC_MODES)
return false;
unpacked.m_mode = mode;
uint32_t bit_ofs = g_uastc_mode_huff_codes[mode][1];
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
unpacked.m_solid_color.r = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
unpacked.m_solid_color.g = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
unpacked.m_solid_color.b = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
unpacked.m_solid_color.a = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
if (read_hints)
{
unpacked.m_etc1_flip = false;
unpacked.m_etc1_diff = read_bit(blk.m_bytes, bit_ofs) != 0;
unpacked.m_etc1_inten0 = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 3);
unpacked.m_etc1_inten1 = 0;
unpacked.m_etc1_selector = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 2);
unpacked.m_etc1_r = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
unpacked.m_etc1_g = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
unpacked.m_etc1_b = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
unpacked.m_etc1_bias = 0;
unpacked.m_etc2_hints = 0;
}
return true;
}
if (read_hints)
{
if (g_uastc_mode_has_bc1_hint0[mode])
unpacked.m_bc1_hint0 = read_bit(blk.m_bytes, bit_ofs) != 0;
else
unpacked.m_bc1_hint0 = false;
if (g_uastc_mode_has_bc1_hint1[mode])
unpacked.m_bc1_hint1 = read_bit(blk.m_bytes, bit_ofs) != 0;
else
unpacked.m_bc1_hint1 = false;
unpacked.m_etc1_flip = read_bit(blk.m_bytes, bit_ofs) != 0;
unpacked.m_etc1_diff = read_bit(blk.m_bytes, bit_ofs) != 0;
unpacked.m_etc1_inten0 = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 3);
unpacked.m_etc1_inten1 = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 3);
if (g_uastc_mode_has_etc1_bias[mode])
unpacked.m_etc1_bias = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
else
unpacked.m_etc1_bias = 0;
if (g_uastc_mode_has_alpha[mode])
{
unpacked.m_etc2_hints = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
//assert(unpacked.m_etc2_hints > 0);
}
else
unpacked.m_etc2_hints = 0;
}
else
bit_ofs += g_uastc_mode_total_hint_bits[mode];
uint32_t subsets = 1;
switch (mode)
{
case 2:
case 4:
case 7:
case 9:
case 16:
unpacked.m_common_pattern = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
subsets = 2;
break;
case 3:
unpacked.m_common_pattern = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 4);
subsets = 3;
break;
default:
break;
}
uint32_t part_seed = 0;
switch (mode)
{
case 2:
case 4:
case 9:
case 16:
if (unpacked.m_common_pattern >= TOTAL_ASTC_BC7_COMMON_PARTITIONS2)
return false;
part_seed = g_astc_bc7_common_partitions2[unpacked.m_common_pattern].m_astc;
break;
case 3:
if (unpacked.m_common_pattern >= TOTAL_ASTC_BC7_COMMON_PARTITIONS3)
return false;
part_seed = g_astc_bc7_common_partitions3[unpacked.m_common_pattern].m_astc;
break;
case 7:
if (unpacked.m_common_pattern >= TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS)
return false;
part_seed = g_bc7_3_astc2_common_partitions[unpacked.m_common_pattern].m_astc2;
break;
default:
break;
}
uint32_t total_planes = 1;
switch (mode)
{
case 6:
case 11:
case 13:
unpacked.m_astc.m_ccs = (int)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 2);
total_planes = 2;
break;
case 17:
unpacked.m_astc.m_ccs = 3;
total_planes = 2;
break;
default:
break;
}
unpacked.m_astc.m_dual_plane = (total_planes == 2);
unpacked.m_astc.m_subsets = subsets;
unpacked.m_astc.m_partition_seed = part_seed;
const uint32_t total_comps = g_uastc_mode_comps[mode];
const uint32_t weight_bits = g_uastc_mode_weight_bits[mode];
unpacked.m_astc.m_weight_range = g_uastc_mode_weight_ranges[mode];
const uint32_t total_values = total_comps * 2 * subsets;
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t cem = g_uastc_mode_cem[mode];
unpacked.m_astc.m_cem = cem;
const uint32_t ep_bits = g_astc_bise_range_table[endpoint_range][0];
const uint32_t ep_trits = g_astc_bise_range_table[endpoint_range][1];
const uint32_t ep_quints = g_astc_bise_range_table[endpoint_range][2];
uint32_t total_tqs = 0;
uint32_t bundle_size = 0, mul = 0;
if (ep_trits)
{
total_tqs = (total_values + 4) / 5;
bundle_size = 5;
mul = 3;
}
else if (ep_quints)
{
total_tqs = (total_values + 2) / 3;
bundle_size = 3;
mul = 5;
}
uint32_t tq_values[8];
for (uint32_t i = 0; i < total_tqs; i++)
{
uint32_t num_bits = ep_trits ? 8 : 7;
if (i == (total_tqs - 1))
{
uint32_t num_remaining = total_values - (total_tqs - 1) * bundle_size;
if (ep_trits)
{
switch (num_remaining)
{
case 1: num_bits = 2; break;
case 2: num_bits = 4; break;
case 3: num_bits = 5; break;
case 4: num_bits = 7; break;
default: break;
}
}
else if (ep_quints)
{
switch (num_remaining)
{
case 1: num_bits = 3; break;
case 2: num_bits = 5; break;
default: break;
}
}
}
tq_values[i] = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, num_bits);
} // i
uint32_t accum = 0;
uint32_t accum_remaining = 0;
uint32_t next_tq_index = 0;
for (uint32_t i = 0; i < total_values; i++)
{
uint32_t value = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, ep_bits);
if (total_tqs)
{
if (!accum_remaining)
{
assert(next_tq_index < total_tqs);
accum = tq_values[next_tq_index++];
accum_remaining = bundle_size;
}
// TODO: Optimize with tables
uint32_t v = accum % mul;
accum /= mul;
accum_remaining--;
value |= (v << ep_bits);
}
unpacked.m_astc.m_endpoints[i] = (uint8_t)value;
}
const uint8_t* pPartition_pattern;
const uint8_t* pSubset_anchor_indices = get_anchor_indices(subsets, mode, unpacked.m_common_pattern, pPartition_pattern);
#ifdef _DEBUG
for (uint32_t i = 0; i < 16; i++)
assert(pPartition_pattern[i] == astc_compute_texel_partition(part_seed, i & 3, i >> 2, 0, subsets, true));
for (uint32_t subset_index = 0; subset_index < subsets; subset_index++)
{
uint32_t anchor_index = 0;
for (uint32_t i = 0; i < 16; i++)
{
if (pPartition_pattern[i] == subset_index)
{
anchor_index = i;
break;
}
}
assert(pSubset_anchor_indices[subset_index] == anchor_index);
}
#endif
#if 0
const uint32_t total_planes_shift = total_planes - 1;
for (uint32_t i = 0; i < 16 * total_planes; i++)
{
uint32_t num_bits = weight_bits;
for (uint32_t s = 0; s < subsets; s++)
{
if (pSubset_anchor_indices[s] == (i >> total_planes_shift))
{
num_bits--;
break;
}
}
unpacked.m_astc.m_weights[i] = (uint8_t)read_bits1_to_9(blk.m_bytes, bit_ofs, num_bits);
}
#endif
if (mode == 18)
{
// Mode 18 is the only mode with more than 64 weight bits.
for (uint32_t i = 0; i < 16; i++)
unpacked.m_astc.m_weights[i] = (uint8_t)read_bits1_to_9(blk.m_bytes, bit_ofs, i ? weight_bits : (weight_bits - 1));
}
else
{
// All other modes have <= 64 weight bits.
uint64_t bits;
// Read the weight bits
if ((BASISD_IS_BIG_ENDIAN) || (!BASISD_USE_UNALIGNED_WORD_READS))
bits = read_bits64(blk.m_bytes, bit_ofs, basisu::minimum<int>(64, 128 - (int)bit_ofs));
else
{
#ifdef __EMSCRIPTEN__
bits = blk.m_dwords[2];
bits |= (((uint64_t)blk.m_dwords[3]) << 32U);
#else
bits = blk.m_qwords[1];
#endif
if (bit_ofs >= 64U)
bits >>= (bit_ofs - 64U);
else
{
assert(bit_ofs >= 56U);
uint32_t bits_needed = 64U - bit_ofs;
bits <<= bits_needed;
bits |= (blk.m_bytes[7] >> (8U - bits_needed));
}
}
bit_ofs = 0;
const uint32_t mask = (1U << weight_bits) - 1U;
const uint32_t anchor_mask = (1U << (weight_bits - 1U)) - 1U;
if (total_planes == 2)
{
// Dual plane modes always have a single subset, and the first 2 weights are anchors.
unpacked.m_astc.m_weights[0] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
unpacked.m_astc.m_weights[1] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
for (uint32_t i = 2; i < 32; i++)
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & mask);
bit_ofs += weight_bits;
}
}
else
{
if (subsets == 1)
{
// Specialize the single subset case.
if (weight_bits == 4)
{
assert(bit_ofs == 0);
// Specialize the most common case: 4-bit weights.
unpacked.m_astc.m_weights[0] = (uint8_t)((uint32_t)(bits) & 7);
unpacked.m_astc.m_weights[1] = (uint8_t)((uint32_t)(bits >> 3) & 15);
unpacked.m_astc.m_weights[2] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 1)) & 15);
unpacked.m_astc.m_weights[3] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 2)) & 15);
unpacked.m_astc.m_weights[4] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 3)) & 15);
unpacked.m_astc.m_weights[5] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 4)) & 15);
unpacked.m_astc.m_weights[6] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 5)) & 15);
unpacked.m_astc.m_weights[7] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 6)) & 15);
unpacked.m_astc.m_weights[8] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 7)) & 15);
unpacked.m_astc.m_weights[9] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 8)) & 15);
unpacked.m_astc.m_weights[10] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 9)) & 15);
unpacked.m_astc.m_weights[11] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 10)) & 15);
unpacked.m_astc.m_weights[12] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 11)) & 15);
unpacked.m_astc.m_weights[13] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 12)) & 15);
unpacked.m_astc.m_weights[14] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 13)) & 15);
unpacked.m_astc.m_weights[15] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 14)) & 15);
}
else
{
// First weight is always an anchor.
unpacked.m_astc.m_weights[0] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
for (uint32_t i = 1; i < 16; i++)
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & mask);
bit_ofs += weight_bits;
}
}
}
else
{
const uint32_t a0 = pSubset_anchor_indices[0], a1 = pSubset_anchor_indices[1], a2 = pSubset_anchor_indices[2];
for (uint32_t i = 0; i < 16; i++)
{
if ((i == a0) || (i == a1) || (i == a2))
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
}
else
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & mask);
bit_ofs += weight_bits;
}
}
}
}
}
if ((blue_contract_check) && (total_comps >= 3))
{
// We only need to disable ASTC Blue Contraction when we'll be packing to ASTC. The other transcoders don't care.
bool invert_subset[3] = { false, false, false };
bool any_flag = false;
for (uint32_t subset_index = 0; subset_index < subsets; subset_index++)
{
const int s0 = g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 0]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 2]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 4]].m_unquant;
const int s1 = g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 1]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 3]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 5]].m_unquant;
if (s1 < s0)
{
for (uint32_t c = 0; c < total_comps; c++)
std::swap(unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + c * 2 + 0], unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + c * 2 + 1]);
invert_subset[subset_index] = true;
any_flag = true;
}
}
if (any_flag)
{
const uint32_t weight_mask = (1 << weight_bits) - 1;
for (uint32_t i = 0; i < 16; i++)
{
uint32_t subset = pPartition_pattern[i];
if (invert_subset[subset])
{
unpacked.m_astc.m_weights[i * total_planes] = (uint8_t)(weight_mask - unpacked.m_astc.m_weights[i * total_planes]);
if (total_planes == 2)
unpacked.m_astc.m_weights[i * total_planes + 1] = (uint8_t)(weight_mask - unpacked.m_astc.m_weights[i * total_planes + 1]);
}
}
}
}
return true;
}
static const uint32_t* g_astc_weight_tables[6] = { nullptr, g_bc7_weights1, g_bc7_weights2, g_bc7_weights3, g_astc_weights4, g_astc_weights5 };
bool unpack_uastc(uint32_t mode, uint32_t common_pattern, const color32& solid_color, const astc_block_desc& astc, color32* pPixels, bool srgb)
{
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
for (uint32_t i = 0; i < 16; i++)
pPixels[i] = solid_color;
return true;
}
color32 endpoints[3][2];
const uint32_t total_subsets = g_uastc_mode_subsets[mode];
const uint32_t total_comps = basisu::minimum<uint32_t>(4U, g_uastc_mode_comps[mode]);
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t total_planes = g_uastc_mode_planes[mode];
const uint32_t weight_bits = g_uastc_mode_weight_bits[mode];
const uint32_t weight_levels = 1 << weight_bits;
for (uint32_t subset_index = 0; subset_index < total_subsets; subset_index++)
{
if (total_comps == 2)
{
const uint32_t ll = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 0 * 2 + 0]].m_unquant;
const uint32_t lh = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 0 * 2 + 1]].m_unquant;
const uint32_t al = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 1 * 2 + 0]].m_unquant;
const uint32_t ah = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 1 * 2 + 1]].m_unquant;
endpoints[subset_index][0].set_noclamp_rgba(ll, ll, ll, al);
endpoints[subset_index][1].set_noclamp_rgba(lh, lh, lh, ah);
}
else
{
for (uint32_t comp_index = 0; comp_index < total_comps; comp_index++)
{
endpoints[subset_index][0][comp_index] = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + comp_index * 2 + 0]].m_unquant;
endpoints[subset_index][1][comp_index] = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + comp_index * 2 + 1]].m_unquant;
}
for (uint32_t comp_index = total_comps; comp_index < 4; comp_index++)
{
endpoints[subset_index][0][comp_index] = 255;
endpoints[subset_index][1][comp_index] = 255;
}
}
}
color32 block_colors[3][32];
const uint32_t* pWeights = g_astc_weight_tables[weight_bits];
for (uint32_t subset_index = 0; subset_index < total_subsets; subset_index++)
{
for (uint32_t l = 0; l < weight_levels; l++)
{
if (total_comps == 2)
{
const uint8_t lc = (uint8_t)astc_interpolate(endpoints[subset_index][0][0], endpoints[subset_index][1][0], pWeights[l], srgb);
const uint8_t ac = (uint8_t)astc_interpolate(endpoints[subset_index][0][3], endpoints[subset_index][1][3], pWeights[l], srgb);
block_colors[subset_index][l].set(lc, lc, lc, ac);
}
else
{
uint32_t comp_index;
for (comp_index = 0; comp_index < total_comps; comp_index++)
block_colors[subset_index][l][comp_index] = (uint8_t)astc_interpolate(endpoints[subset_index][0][comp_index], endpoints[subset_index][1][comp_index], pWeights[l], srgb);
for (; comp_index < 4; comp_index++)
block_colors[subset_index][l][comp_index] = 255;
}
}
}
const uint8_t* pPartition_pattern = g_zero_pattern;
if (total_subsets >= 2)
{
if (total_subsets == 3)
pPartition_pattern = &g_astc_bc7_patterns3[common_pattern][0];
else if (mode == 7)
pPartition_pattern = &g_bc7_3_astc2_patterns2[common_pattern][0];
else
pPartition_pattern = &g_astc_bc7_patterns2[common_pattern][0];
#ifdef _DEBUG
for (uint32_t i = 0; i < 16; i++)
{
assert(pPartition_pattern[i] == (uint8_t)astc_compute_texel_partition(astc.m_partition_seed, i & 3, i >> 2, 0, total_subsets, true));
}
#endif
}
if (total_planes == 1)
{
if (total_subsets == 1)
{
for (uint32_t i = 0; i < 16; i++)
{
assert(astc.m_weights[i] < weight_levels);
pPixels[i] = block_colors[0][astc.m_weights[i]];
}
}
else
{
for (uint32_t i = 0; i < 16; i++)
{
assert(astc.m_weights[i] < weight_levels);
pPixels[i] = block_colors[pPartition_pattern[i]][astc.m_weights[i]];
}
}
}
else
{
assert(total_subsets == 1);
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t subset_index = 0; // pPartition_pattern[i];
const uint32_t weight_index0 = astc.m_weights[i * 2];
const uint32_t weight_index1 = astc.m_weights[i * 2 + 1];
assert(weight_index0 < weight_levels && weight_index1 < weight_levels);
color32& c = pPixels[i];
for (uint32_t comp = 0; comp < 4; comp++)
{
if ((int)comp == astc.m_ccs)
c[comp] = block_colors[subset_index][weight_index1][comp];
else
c[comp] = block_colors[subset_index][weight_index0][comp];
}
}
}
return true;
}
bool unpack_uastc(const unpacked_uastc_block& unpacked_blk, color32* pPixels, bool srgb)
{
return unpack_uastc(unpacked_blk.m_mode, unpacked_blk.m_common_pattern, unpacked_blk.m_solid_color, unpacked_blk.m_astc, pPixels, srgb);
}
bool unpack_uastc(const uastc_block& blk, color32* pPixels, bool srgb)
{
unpacked_uastc_block unpacked_blk;
if (!unpack_uastc(blk, unpacked_blk, false, false))
return false;
return unpack_uastc(unpacked_blk, pPixels, srgb);
}
// Determines the best shared pbits to use to encode xl/xh
static void determine_shared_pbits(
uint32_t total_comps, uint32_t comp_bits, float xl[4], float xh[4],
color_quad_u8& bestMinColor, color_quad_u8& bestMaxColor, uint32_t best_pbits[2])
{
const uint32_t total_bits = comp_bits + 1;
assert(total_bits >= 4 && total_bits <= 8);
const int iscalep = (1 << total_bits) - 1;
const float scalep = (float)iscalep;
float best_err = 1e+9f;
for (int p = 0; p < 2; p++)
{
color_quad_u8 xMinColor, xMaxColor;
for (uint32_t c = 0; c < 4; c++)
{
xMinColor.m_c[c] = (uint8_t)(clampi(((int)((xl[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
xMaxColor.m_c[c] = (uint8_t)(clampi(((int)((xh[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
}
color_quad_u8 scaledLow, scaledHigh;
for (uint32_t i = 0; i < 4; i++)
{
scaledLow.m_c[i] = (xMinColor.m_c[i] << (8 - total_bits));
scaledLow.m_c[i] |= (scaledLow.m_c[i] >> total_bits);
assert(scaledLow.m_c[i] <= 255);
scaledHigh.m_c[i] = (xMaxColor.m_c[i] << (8 - total_bits));
scaledHigh.m_c[i] |= (scaledHigh.m_c[i] >> total_bits);
assert(scaledHigh.m_c[i] <= 255);
}
float err = 0;
for (uint32_t i = 0; i < total_comps; i++)
err += basisu::squaref((scaledLow.m_c[i] / 255.0f) - xl[i]) + basisu::squaref((scaledHigh.m_c[i] / 255.0f) - xh[i]);
if (err < best_err)
{
best_err = err;
best_pbits[0] = p;
best_pbits[1] = p;
for (uint32_t j = 0; j < 4; j++)
{
bestMinColor.m_c[j] = xMinColor.m_c[j] >> 1;
bestMaxColor.m_c[j] = xMaxColor.m_c[j] >> 1;
}
}
}
}
// Determines the best unique pbits to use to encode xl/xh
static void determine_unique_pbits(
uint32_t total_comps, uint32_t comp_bits, float xl[4], float xh[4],
color_quad_u8& bestMinColor, color_quad_u8& bestMaxColor, uint32_t best_pbits[2])
{
const uint32_t total_bits = comp_bits + 1;
const int iscalep = (1 << total_bits) - 1;
const float scalep = (float)iscalep;
float best_err0 = 1e+9f;
float best_err1 = 1e+9f;
for (int p = 0; p < 2; p++)
{
color_quad_u8 xMinColor, xMaxColor;
for (uint32_t c = 0; c < 4; c++)
{
xMinColor.m_c[c] = (uint8_t)(clampi(((int)((xl[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
xMaxColor.m_c[c] = (uint8_t)(clampi(((int)((xh[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
}
color_quad_u8 scaledLow, scaledHigh;
for (uint32_t i = 0; i < 4; i++)
{
scaledLow.m_c[i] = (xMinColor.m_c[i] << (8 - total_bits));
scaledLow.m_c[i] |= (scaledLow.m_c[i] >> total_bits);
assert(scaledLow.m_c[i] <= 255);
scaledHigh.m_c[i] = (xMaxColor.m_c[i] << (8 - total_bits));
scaledHigh.m_c[i] |= (scaledHigh.m_c[i] >> total_bits);
assert(scaledHigh.m_c[i] <= 255);
}
float err0 = 0, err1 = 0;
for (uint32_t i = 0; i < total_comps; i++)
{
err0 += basisu::squaref(scaledLow.m_c[i] - xl[i] * 255.0f);
err1 += basisu::squaref(scaledHigh.m_c[i] - xh[i] * 255.0f);
}
if (err0 < best_err0)
{
best_err0 = err0;
best_pbits[0] = p;
bestMinColor.m_c[0] = xMinColor.m_c[0] >> 1;
bestMinColor.m_c[1] = xMinColor.m_c[1] >> 1;
bestMinColor.m_c[2] = xMinColor.m_c[2] >> 1;
bestMinColor.m_c[3] = xMinColor.m_c[3] >> 1;
}
if (err1 < best_err1)
{
best_err1 = err1;
best_pbits[1] = p;
bestMaxColor.m_c[0] = xMaxColor.m_c[0] >> 1;
bestMaxColor.m_c[1] = xMaxColor.m_c[1] >> 1;
bestMaxColor.m_c[2] = xMaxColor.m_c[2] >> 1;
bestMaxColor.m_c[3] = xMaxColor.m_c[3] >> 1;
}
}
}
bool transcode_uastc_to_astc(const uastc_block& src_blk, void* pDst)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, true, false))
return false;
bool success = false;
if (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
pack_astc_solid_block(pDst, unpacked_src_blk.m_solid_color);
success = true;
}
else
{
success = pack_astc_block(static_cast<uint32_t*>(pDst), &unpacked_src_blk.m_astc, unpacked_src_blk.m_mode);
}
return success;
}
bool transcode_uastc_to_bc7(const unpacked_uastc_block& unpacked_src_blk, bc7_optimization_results& dst_blk)
{
memset(&dst_blk, 0, sizeof(dst_blk));
const uint32_t mode = unpacked_src_blk.m_mode;
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t total_comps = g_uastc_mode_comps[mode];
switch (mode)
{
case 0:
case 5:
case 10:
case 12:
case 14:
case 15:
case 18:
{
// MODE 0: DualPlane: 0, WeightRange: 8 (16), Subsets: 1, EndpointRange: 19 (192) - BC7 MODE6 RGB
// MODE 5: DualPlane: 0, WeightRange : 5 (8), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE6 RGB
// MODE 10 DualPlane: 0, WeightRange: 8 (16), Subsets: 1, EndpointRange: 13 (48) - BC7 MODE6
// MODE 12: DualPlane: 0, WeightRange : 5 (8), Subsets : 1, EndpointRange : 19 (192) - BC7 MODE6
// MODE 14: DualPlane: 0, WeightRange : 2 (4), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE6
// MODE 18: DualPlane: 0, WeightRange : 11 (32), Subsets : 1, CEM : 8, EndpointRange : 11 (32) - BC7 MODE6
// MODE 15: DualPlane: 0, WeightRange : 8 (16), Subsets : 1, CEM : 4 (LA Direct), EndpointRange : 20 (256) - BC7 MODE6
dst_blk.m_mode = 6;
float xl[4], xh[4];
if (total_comps == 2)
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1]].m_unquant / 255.0f;
xl[1] = xl[0];
xh[1] = xh[0];
xl[2] = xl[0];
xh[2] = xh[0];
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3]].m_unquant / 255.0f;
}
else
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0]].m_unquant / 255.0f;
xl[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2]].m_unquant / 255.0f;
xl[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[4]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1]].m_unquant / 255.0f;
xh[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3]].m_unquant / 255.0f;
xh[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[5]].m_unquant / 255.0f;
if (total_comps == 4)
{
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[6]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[7]].m_unquant / 255.0f;
}
else
{
xl[3] = 1.0f;
xh[3] = 1.0f;
}
}
uint32_t best_pbits[2];
color_quad_u8 bestMinColor, bestMaxColor;
determine_unique_pbits((total_comps == 2) ? 4 : total_comps, 7, xl, xh, bestMinColor, bestMaxColor, best_pbits);
dst_blk.m_low[0] = bestMinColor;
dst_blk.m_high[0] = bestMaxColor;
if (total_comps == 3)
{
dst_blk.m_low[0].m_c[3] = 127;
dst_blk.m_high[0].m_c[3] = 127;
}
dst_blk.m_pbits[0][0] = best_pbits[0];
dst_blk.m_pbits[0][1] = best_pbits[1];
if (mode == 18)
{
const uint8_t s_bc7_5_to_4[32] = { 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15 };
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = s_bc7_5_to_4[unpacked_src_blk.m_astc.m_weights[i]];
}
else if (mode == 14)
{
const uint8_t s_bc7_2_to_4[4] = { 0, 5, 10, 15 };
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = s_bc7_2_to_4[unpacked_src_blk.m_astc.m_weights[i]];
}
else if ((mode == 5) || (mode == 12))
{
const uint8_t s_bc7_3_to_4[8] = { 0, 2, 4, 6, 9, 11, 13, 15 };
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = s_bc7_3_to_4[unpacked_src_blk.m_astc.m_weights[i]];
}
else
{
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
}
break;
}
case 1:
{
// DualPlane: 0, WeightRange : 2 (4), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE3
// Mode 1 uses endpoint range 20 - no need to use ASTC dequant tables.
dst_blk.m_mode = 3;
float xl[4], xh[4];
xl[0] = unpacked_src_blk.m_astc.m_endpoints[0] / 255.0f;
xl[1] = unpacked_src_blk.m_astc.m_endpoints[2] / 255.0f;
xl[2] = unpacked_src_blk.m_astc.m_endpoints[4] / 255.0f;
xl[3] = 1.0f;
xh[0] = unpacked_src_blk.m_astc.m_endpoints[1] / 255.0f;
xh[1] = unpacked_src_blk.m_astc.m_endpoints[3] / 255.0f;
xh[2] = unpacked_src_blk.m_astc.m_endpoints[5] / 255.0f;
xh[3] = 1.0f;
uint32_t best_pbits[2];
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_unique_pbits(3, 7, xl, xh, bestMinColor, bestMaxColor, best_pbits);
for (uint32_t i = 0; i < 3; i++)
{
dst_blk.m_low[0].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[0].m_c[i] = bestMaxColor.m_c[i];
dst_blk.m_low[1].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[1].m_c[i] = bestMaxColor.m_c[i];
}
dst_blk.m_pbits[0][0] = best_pbits[0];
dst_blk.m_pbits[0][1] = best_pbits[1];
dst_blk.m_pbits[1][0] = best_pbits[0];
dst_blk.m_pbits[1][1] = best_pbits[1];
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 2:
{
// 2. DualPlane: 0, WeightRange : 5 (8), Subsets : 2, EndpointRange : 8 (16) - BC7 MODE1
dst_blk.m_mode = 1;
dst_blk.m_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_bc7;
const bool invert_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_invert;
float xl[4], xh[4];
xl[3] = 1.0f;
xh[3] = 1.0f;
for (uint32_t subset = 0; subset < 2; subset++)
{
for (uint32_t i = 0; i < 3; i++)
{
uint32_t v = unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6];
v = (v << 4) | v;
xl[i] = v / 255.0f;
v = unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6 + 1];
v = (v << 4) | v;
xh[i] = v / 255.0f;
}
uint32_t best_pbits[2] = { 0, 0 };
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_shared_pbits(3, 6, xl, xh, bestMinColor, bestMaxColor, best_pbits);
const uint32_t bc7_subset_index = invert_partition ? (1 - subset) : subset;
for (uint32_t i = 0; i < 3; i++)
{
dst_blk.m_low[bc7_subset_index].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[bc7_subset_index].m_c[i] = bestMaxColor.m_c[i];
}
dst_blk.m_pbits[bc7_subset_index][0] = best_pbits[0];
} // subset
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 3:
{
// DualPlane: 0, WeightRange : 2 (4), Subsets : 3, EndpointRange : 7 (12) - BC7 MODE2
dst_blk.m_mode = 2;
dst_blk.m_partition = g_astc_bc7_common_partitions3[unpacked_src_blk.m_common_pattern].m_bc7;
const uint32_t perm = g_astc_bc7_common_partitions3[unpacked_src_blk.m_common_pattern].m_astc_to_bc7_perm;
for (uint32_t subset = 0; subset < 3; subset++)
{
for (uint32_t comp = 0; comp < 3; comp++)
{
uint32_t lo = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[comp * 2 + 0 + subset * 6]].m_unquant;
uint32_t hi = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[comp * 2 + 1 + subset * 6]].m_unquant;
// TODO: I think this can be improved by using tables like Basis Universal does with ETC1S conversion.
lo = (lo * 31 + 127) / 255;
hi = (hi * 31 + 127) / 255;
const uint32_t bc7_subset_index = g_astc_to_bc7_partition_index_perm_tables[perm][subset];
dst_blk.m_low[bc7_subset_index].m_c[comp] = (uint8_t)lo;
dst_blk.m_high[bc7_subset_index].m_c[comp] = (uint8_t)hi;
}
}
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 4:
{
// 4. DualPlane: 0, WeightRange: 2 (4), Subsets: 2, EndpointRange: 12 (40) - BC7 MODE3
dst_blk.m_mode = 3;
dst_blk.m_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_bc7;
const bool invert_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_invert;
float xl[4], xh[4];
xl[3] = 1.0f;
xh[3] = 1.0f;
for (uint32_t subset = 0; subset < 2; subset++)
{
for (uint32_t i = 0; i < 3; i++)
{
xl[i] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6]].m_unquant / 255.0f;
xh[i] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6 + 1]].m_unquant / 255.0f;
}
uint32_t best_pbits[2] = { 0, 0 };
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_unique_pbits(3, 7, xl, xh, bestMinColor, bestMaxColor, best_pbits);
const uint32_t bc7_subset_index = invert_partition ? (1 - subset) : subset;
for (uint32_t i = 0; i < 3; i++)
{
dst_blk.m_low[bc7_subset_index].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[bc7_subset_index].m_c[i] = bestMaxColor.m_c[i];
}
dst_blk.m_low[bc7_subset_index].m_c[3] = 127;
dst_blk.m_high[bc7_subset_index].m_c[3] = 127;
dst_blk.m_pbits[bc7_subset_index][0] = best_pbits[0];
dst_blk.m_pbits[bc7_subset_index][1] = best_pbits[1];
} // subset
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 6:
case 11:
case 13:
case 17:
{
// MODE 6: DualPlane: 1, WeightRange : 2 (4), Subsets : 1, EndpointRange : 18 (160) - BC7 MODE5 RGB
// MODE 11: DualPlane: 1, WeightRange: 2 (4), Subsets: 1, EndpointRange: 13 (48) - BC7 MODE5
// MODE 13: DualPlane: 1, WeightRange: 0 (2), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE5
// MODE 17: DualPlane: 1, WeightRange: 2 (4), Subsets: 1, CEM: 4 (LA Direct), EndpointRange: 20 (256) - BC7 MODE5
dst_blk.m_mode = 5;
dst_blk.m_rotation = (unpacked_src_blk.m_astc.m_ccs + 1) & 3;
if (total_comps == 2)
{
assert(unpacked_src_blk.m_astc.m_ccs == 3);
dst_blk.m_low->m_c[0] = (uint8_t)((g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0]].m_unquant * 127 + 127) / 255);
dst_blk.m_high->m_c[0] = (uint8_t)((g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1]].m_unquant * 127 + 127) / 255);
dst_blk.m_low->m_c[1] = dst_blk.m_low->m_c[0];
dst_blk.m_high->m_c[1] = dst_blk.m_high->m_c[0];
dst_blk.m_low->m_c[2] = dst_blk.m_low->m_c[0];
dst_blk.m_high->m_c[2] = dst_blk.m_high->m_c[0];
dst_blk.m_low->m_c[3] = (uint8_t)(g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2]].m_unquant);
dst_blk.m_high->m_c[3] = (uint8_t)(g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3]].m_unquant);
}
else
{
for (uint32_t astc_comp = 0; astc_comp < 4; astc_comp++)
{
uint32_t bc7_comp = astc_comp;
// ASTC and BC7 handle dual plane component rotations differently:
// ASTC: 2nd plane separately interpolates the CCS channel.
// BC7: 2nd plane channel is swapped with alpha, 2nd plane controls alpha interpolation, then we swap alpha with the desired channel.
if (astc_comp == (uint32_t)unpacked_src_blk.m_astc.m_ccs)
bc7_comp = 3;
else if (astc_comp == 3)
bc7_comp = unpacked_src_blk.m_astc.m_ccs;
uint32_t l = 255, h = 255;
if (astc_comp < total_comps)
{
l = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[astc_comp * 2 + 0]].m_unquant;
h = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[astc_comp * 2 + 1]].m_unquant;
}
if (bc7_comp < 3)
{
l = (l * 127 + 127) / 255;
h = (h * 127 + 127) / 255;
}
dst_blk.m_low->m_c[bc7_comp] = (uint8_t)l;
dst_blk.m_high->m_c[bc7_comp] = (uint8_t)h;
}
}
if (mode == 13)
{
for (uint32_t i = 0; i < 16; i++)
{
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2] ? 3 : 0;
dst_blk.m_alpha_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2 + 1] ? 3 : 0;
}
}
else
{
for (uint32_t i = 0; i < 16; i++)
{
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2];
dst_blk.m_alpha_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2 + 1];
}
}
break;
}
case 7:
{
// DualPlane: 0, WeightRange : 2 (4), Subsets : 2, EndpointRange : 12 (40) - BC7 MODE2
dst_blk.m_mode = 2;
dst_blk.m_partition = g_bc7_3_astc2_common_partitions[unpacked_src_blk.m_common_pattern].m_bc73;
const uint32_t common_pattern_k = g_bc7_3_astc2_common_partitions[unpacked_src_blk.m_common_pattern].k;
for (uint32_t bc7_part = 0; bc7_part < 3; bc7_part++)
{
const uint32_t astc_part = bc7_convert_partition_index_3_to_2(bc7_part, common_pattern_k);
for (uint32_t c = 0; c < 3; c++)
{
dst_blk.m_low[bc7_part].m_c[c] = (g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[c * 2 + 0 + astc_part * 6]].m_unquant * 31 + 127) / 255;
dst_blk.m_high[bc7_part].m_c[c] = (g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[c * 2 + 1 + astc_part * 6]].m_unquant * 31 + 127) / 255;
}
}
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case UASTC_MODE_INDEX_SOLID_COLOR:
{
// Void-Extent: Solid Color RGBA (BC7 MODE5 or MODE6)
const color32& solid_color = unpacked_src_blk.m_solid_color;
uint32_t best_err0 = g_bc7_mode_6_optimal_endpoints[solid_color.r][0].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.g][0].m_error +
g_bc7_mode_6_optimal_endpoints[solid_color.b][0].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.a][0].m_error;
uint32_t best_err1 = g_bc7_mode_6_optimal_endpoints[solid_color.r][1].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.g][1].m_error +
g_bc7_mode_6_optimal_endpoints[solid_color.b][1].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.a][1].m_error;
if (best_err0 > 0 && best_err1 > 0)
{
dst_blk.m_mode = 5;
for (uint32_t c = 0; c < 3; c++)
{
dst_blk.m_low[0].m_c[c] = g_bc7_mode_5_optimal_endpoints[solid_color.c[c]].m_lo;
dst_blk.m_high[0].m_c[c] = g_bc7_mode_5_optimal_endpoints[solid_color.c[c]].m_hi;
}
memset(dst_blk.m_selectors, BC7ENC_MODE_5_OPTIMAL_INDEX, 16);
dst_blk.m_low[0].m_c[3] = solid_color.c[3];
dst_blk.m_high[0].m_c[3] = solid_color.c[3];
//memset(dst_blk.m_alpha_selectors, 0, 16);
}
else
{
dst_blk.m_mode = 6;
uint32_t best_p = 0;
if (best_err1 < best_err0)
best_p = 1;
for (uint32_t c = 0; c < 4; c++)
{
dst_blk.m_low[0].m_c[c] = g_bc7_mode_6_optimal_endpoints[solid_color.c[c]][best_p].m_lo;
dst_blk.m_high[0].m_c[c] = g_bc7_mode_6_optimal_endpoints[solid_color.c[c]][best_p].m_hi;
}
dst_blk.m_pbits[0][0] = best_p;
dst_blk.m_pbits[0][1] = best_p;
memset(dst_blk.m_selectors, BC7ENC_MODE_6_OPTIMAL_INDEX, 16);
}
break;
}
case 9:
case 16:
{
// 9. DualPlane: 0, WeightRange : 2 (4), Subsets : 2, EndpointRange : 8 (16) - BC7 MODE7
// 16. DualPlane: 0, WeightRange: 2 (4), Subsets: 2, CEM: 4 (LA Direct), EndpointRange: 20 (256) - BC7 MODE7
dst_blk.m_mode = 7;
dst_blk.m_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_bc7;
const bool invert_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_invert;
for (uint32_t astc_subset = 0; astc_subset < 2; astc_subset++)
{
float xl[4], xh[4];
if (total_comps == 2)
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0 + astc_subset * 4]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1 + astc_subset * 4]].m_unquant / 255.0f;
xl[1] = xl[0];
xh[1] = xh[0];
xl[2] = xl[0];
xh[2] = xh[0];
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2 + astc_subset * 4]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3 + astc_subset * 4]].m_unquant / 255.0f;
}
else
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0 + astc_subset * 8]].m_unquant / 255.0f;
xl[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2 + astc_subset * 8]].m_unquant / 255.0f;
xl[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[4 + astc_subset * 8]].m_unquant / 255.0f;
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[6 + astc_subset * 8]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1 + astc_subset * 8]].m_unquant / 255.0f;
xh[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3 + astc_subset * 8]].m_unquant / 255.0f;
xh[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[5 + astc_subset * 8]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[7 + astc_subset * 8]].m_unquant / 255.0f;
}
uint32_t best_pbits[2] = { 0, 0 };
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_unique_pbits(4, 5, xl, xh, bestMinColor, bestMaxColor, best_pbits);
const uint32_t bc7_subset_index = invert_partition ? (1 - astc_subset) : astc_subset;
dst_blk.m_low[bc7_subset_index] = bestMinColor;
dst_blk.m_high[bc7_subset_index] = bestMaxColor;
dst_blk.m_pbits[bc7_subset_index][0] = best_pbits[0];
dst_blk.m_pbits[bc7_subset_index][1] = best_pbits[1];
} // astc_subset
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
default:
return false;
}
return true;
}
bool transcode_uastc_to_bc7(const uastc_block& src_blk, bc7_optimization_results& dst_blk)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false, false))
return false;
return transcode_uastc_to_bc7(unpacked_src_blk, dst_blk);
}
bool transcode_uastc_to_bc7(const uastc_block& src_blk, void* pDst)
{
bc7_optimization_results temp;
if (!transcode_uastc_to_bc7(src_blk, temp))
return false;
encode_bc7_block(pDst, &temp);
return true;
}
color32 apply_etc1_bias(const color32 &block_color, uint32_t bias, uint32_t limit, uint32_t subblock)
{
color32 result;
for (uint32_t c = 0; c < 3; c++)
{
static const int s_divs[3] = { 1, 3, 9 };
int delta = 0;
switch (bias)
{
case 2: delta = subblock ? 0 : ((c == 0) ? -1 : 0); break;
case 5: delta = subblock ? 0 : ((c == 1) ? -1 : 0); break;
case 6: delta = subblock ? 0 : ((c == 2) ? -1 : 0); break;
case 7: delta = subblock ? 0 : ((c == 0) ? 1 : 0); break;
case 11: delta = subblock ? 0 : ((c == 1) ? 1 : 0); break;
case 15: delta = subblock ? 0 : ((c == 2) ? 1 : 0); break;
case 18: delta = subblock ? ((c == 0) ? -1 : 0) : 0; break;
case 19: delta = subblock ? ((c == 1) ? -1 : 0) : 0; break;
case 20: delta = subblock ? ((c == 2) ? -1 : 0) : 0; break;
case 21: delta = subblock ? ((c == 0) ? 1 : 0) : 0; break;
case 24: delta = subblock ? ((c == 1) ? 1 : 0) : 0; break;
case 8: delta = subblock ? ((c == 2) ? 1 : 0) : 0; break;
case 10: delta = -2; break;
case 27: delta = subblock ? 0 : -1; break;
case 28: delta = subblock ? -1 : 1; break;
case 29: delta = subblock ? 1 : 0; break;
case 30: delta = subblock ? -1 : 0; break;
case 31: delta = subblock ? 0 : 1; break;
default:
delta = ((bias / s_divs[c]) % 3) - 1;
break;
}
int v = block_color[c];
if (v == 0)
{
if (delta == -2)
v += 3;
else
v += delta + 1;
}
else if (v == (int)limit)
{
v += (delta - 1);
}
else
{
v += delta;
if ((v < 0) || (v > (int)limit))
v = (v - delta) - delta;
}
assert(v >= 0);
assert(v <= (int)limit);
result[c] = (uint8_t)v;
}
return result;
}
static void etc1_determine_selectors(decoder_etc_block& dst_blk, const color32* pSource_pixels, uint32_t first_subblock, uint32_t last_subblock)
{
static const uint8_t s_tran[4] = { 1, 0, 2, 3 };
uint16_t l_bitmask = 0;
uint16_t h_bitmask = 0;
for (uint32_t subblock = first_subblock; subblock < last_subblock; subblock++)
{
color32 block_colors[4];
dst_blk.get_block_colors(block_colors, subblock);
uint32_t block_y[4];
for (uint32_t i = 0; i < 4; i++)
block_y[i] = block_colors[i][0] * 54 + block_colors[i][1] * 183 + block_colors[i][2] * 19;
const uint32_t block_y01 = block_y[0] + block_y[1];
const uint32_t block_y12 = block_y[1] + block_y[2];
const uint32_t block_y23 = block_y[2] + block_y[3];
// X0 X0 X0 X0 X1 X1 X1 X1 X2 X2 X2 X2 X3 X3 X3 X3
// Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3
if (dst_blk.get_flip_bit())
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const color32& c = pSource_pixels[x + (subblock * 2 + y) * 4];
const uint32_t l = c[0] * 108 + c[1] * 366 + c[2] * 38;
uint32_t t = s_tran[(l < block_y01) + (l < block_y12) + (l < block_y23)];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
const color32& c = pSource_pixels[subblock * 2 + x + y * 4];
const uint32_t l = c[0] * 108 + c[1] * 366 + c[2] * 38;
uint32_t t = s_tran[(l < block_y01) + (l < block_y12) + (l < block_y23)];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
}
dst_blk.m_bytes[7] = (uint8_t)(l_bitmask);
dst_blk.m_bytes[6] = (uint8_t)(l_bitmask >> 8);
dst_blk.m_bytes[5] = (uint8_t)(h_bitmask);
dst_blk.m_bytes[4] = (uint8_t)(h_bitmask >> 8);
}
static const uint8_t s_etc1_solid_selectors[4][4] = { { 255, 255, 255, 255 }, { 255, 255, 0, 0 }, { 0, 0, 0, 0 }, {0, 0, 255, 255 } };
struct etc_coord2
{
uint8_t m_x, m_y;
};
// [flip][subblock][pixel_index]
const etc_coord2 g_etc1_pixel_coords[2][2][8] =
{
{
{
{ 0, 0 }, { 0, 1 }, { 0, 2 }, { 0, 3 },
{ 1, 0 }, { 1, 1 }, { 1, 2 }, { 1, 3 }
},
{
{ 2, 0 }, { 2, 1 }, { 2, 2 }, { 2, 3 },
{ 3, 0 }, { 3, 1 }, { 3, 2 }, { 3, 3 }
}
},
{
{
{ 0, 0 }, { 1, 0 }, { 2, 0 }, { 3, 0 },
{ 0, 1 }, { 1, 1 }, { 2, 1 }, { 3, 1 }
},
{
{ 0, 2 }, { 1, 2 }, { 2, 2 }, { 3, 2 },
{ 0, 3 }, { 1, 3 }, { 2, 3 }, { 3, 3 }
},
}
};
void transcode_uastc_to_etc1(unpacked_uastc_block& unpacked_src_blk, color32 block_pixels[4][4], void* pDst)
{
decoder_etc_block& dst_blk = *static_cast<decoder_etc_block*>(pDst);
if (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
dst_blk.m_bytes[3] = (uint8_t)((unpacked_src_blk.m_etc1_diff << 1) | (unpacked_src_blk.m_etc1_inten0 << 5) | (unpacked_src_blk.m_etc1_inten0 << 2));
if (unpacked_src_blk.m_etc1_diff)
{
dst_blk.m_bytes[0] = (uint8_t)(unpacked_src_blk.m_etc1_r << 3);
dst_blk.m_bytes[1] = (uint8_t)(unpacked_src_blk.m_etc1_g << 3);
dst_blk.m_bytes[2] = (uint8_t)(unpacked_src_blk.m_etc1_b << 3);
}
else
{
dst_blk.m_bytes[0] = (uint8_t)(unpacked_src_blk.m_etc1_r | (unpacked_src_blk.m_etc1_r << 4));
dst_blk.m_bytes[1] = (uint8_t)(unpacked_src_blk.m_etc1_g | (unpacked_src_blk.m_etc1_g << 4));
dst_blk.m_bytes[2] = (uint8_t)(unpacked_src_blk.m_etc1_b | (unpacked_src_blk.m_etc1_b << 4));
}
memcpy(dst_blk.m_bytes + 4, &s_etc1_solid_selectors[unpacked_src_blk.m_etc1_selector][0], 4);
return;
}
const bool flip = unpacked_src_blk.m_etc1_flip != 0;
const bool diff = unpacked_src_blk.m_etc1_diff != 0;
dst_blk.m_bytes[3] = (uint8_t)((int)flip | (diff << 1) | (unpacked_src_blk.m_etc1_inten0 << 5) | (unpacked_src_blk.m_etc1_inten1 << 2));
const uint32_t limit = diff ? 31 : 15;
color32 block_colors[2];
for (uint32_t subset = 0; subset < 2; subset++)
{
uint32_t avg_color[3];
memset(avg_color, 0, sizeof(avg_color));
for (uint32_t j = 0; j < 8; j++)
{
const etc_coord2& c = g_etc1_pixel_coords[flip][subset][j];
avg_color[0] += block_pixels[c.m_y][c.m_x].r;
avg_color[1] += block_pixels[c.m_y][c.m_x].g;
avg_color[2] += block_pixels[c.m_y][c.m_x].b;
} // j
block_colors[subset][0] = (uint8_t)((avg_color[0] * limit + 1020) / (8 * 255));
block_colors[subset][1] = (uint8_t)((avg_color[1] * limit + 1020) / (8 * 255));
block_colors[subset][2] = (uint8_t)((avg_color[2] * limit + 1020) / (8 * 255));
block_colors[subset][3] = 0;
if (g_uastc_mode_has_etc1_bias[unpacked_src_blk.m_mode])
{
block_colors[subset] = apply_etc1_bias(block_colors[subset], unpacked_src_blk.m_etc1_bias, limit, subset);
}
} // subset
if (diff)
{
int dr = block_colors[1].r - block_colors[0].r;
int dg = block_colors[1].g - block_colors[0].g;
int db = block_colors[1].b - block_colors[0].b;
dr = basisu::clamp<int>(dr, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
dg = basisu::clamp<int>(dg, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
db = basisu::clamp<int>(db, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
if (dr < 0) dr += 8;
if (dg < 0) dg += 8;
if (db < 0) db += 8;
dst_blk.m_bytes[0] = (uint8_t)((block_colors[0].r << 3) | dr);
dst_blk.m_bytes[1] = (uint8_t)((block_colors[0].g << 3) | dg);
dst_blk.m_bytes[2] = (uint8_t)((block_colors[0].b << 3) | db);
}
else
{
dst_blk.m_bytes[0] = (uint8_t)(block_colors[1].r | (block_colors[0].r << 4));
dst_blk.m_bytes[1] = (uint8_t)(block_colors[1].g | (block_colors[0].g << 4));
dst_blk.m_bytes[2] = (uint8_t)(block_colors[1].b | (block_colors[0].b << 4));
}
etc1_determine_selectors(dst_blk, &block_pixels[0][0], 0, 2);
}
bool transcode_uastc_to_etc1(const uastc_block& src_blk, void* pDst)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
color32 block_pixels[4][4];
if (unpacked_src_blk.m_mode != UASTC_MODE_INDEX_SOLID_COLOR)
{
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
}
transcode_uastc_to_etc1(unpacked_src_blk, block_pixels, pDst);
return true;
}
static inline int gray_distance2(const uint8_t c, int y)
{
int gray_dist = (int)c - y;
return gray_dist * gray_dist;
}
static bool pack_etc1_y_estimate_flipped(const uint8_t* pSrc_pixels,
int& upper_avg, int& lower_avg, int& left_avg, int& right_avg)
{
int sums[2][2];
#define GET_XY(x, y) pSrc_pixels[(x) + ((y) * 4)]
sums[0][0] = GET_XY(0, 0) + GET_XY(0, 1) + GET_XY(1, 0) + GET_XY(1, 1);
sums[1][0] = GET_XY(2, 0) + GET_XY(2, 1) + GET_XY(3, 0) + GET_XY(3, 1);
sums[0][1] = GET_XY(0, 2) + GET_XY(0, 3) + GET_XY(1, 2) + GET_XY(1, 3);
sums[1][1] = GET_XY(2, 2) + GET_XY(2, 3) + GET_XY(3, 2) + GET_XY(3, 3);
upper_avg = (sums[0][0] + sums[1][0] + 4) / 8;
lower_avg = (sums[0][1] + sums[1][1] + 4) / 8;
left_avg = (sums[0][0] + sums[0][1] + 4) / 8;
right_avg = (sums[1][0] + sums[1][1] + 4) / 8;
#undef GET_XY
#define GET_XY(x, y, a) gray_distance2(pSrc_pixels[(x) + ((y) * 4)], a)
int upper_gray_dist = 0, lower_gray_dist = 0, left_gray_dist = 0, right_gray_dist = 0;
for (uint32_t i = 0; i < 4; i++)
{
for (uint32_t j = 0; j < 2; j++)
{
upper_gray_dist += GET_XY(i, j, upper_avg);
lower_gray_dist += GET_XY(i, 2 + j, lower_avg);
left_gray_dist += GET_XY(j, i, left_avg);
right_gray_dist += GET_XY(2 + j, i, right_avg);
}
}
#undef GET_XY
int upper_lower_sum = upper_gray_dist + lower_gray_dist;
int left_right_sum = left_gray_dist + right_gray_dist;
return upper_lower_sum < left_right_sum;
}
// Base Sel Table
// XXXXX XX XXX
static const uint16_t g_etc1_y_solid_block_configs[256] =
{
0,781,64,161,260,192,33,131,96,320,65,162,261,193,34,291,97,224,66,163,262,194,35,549,98,4,67,653,164,195,523,36,99,5,578,68,165,353,196,37,135,100,324,69,166,354,197,38,295,101,228,70,167,
355,198,39,553,102,8,71,608,168,199,527,40,103,9,582,72,169,357,200,41,139,104,328,73,170,358,201,42,299,105,232,74,171,359,202,43,557,106,12,75,612,172,203,531,44,107,13,586,76,173,361,
204,45,143,108,332,77,174,362,205,46,303,109,236,78,175,363,206,47,561,110,16,79,616,176,207,535,48,111,17,590,80,177,365,208,49,147,112,336,81,178,366,209,50,307,113,240,82,179,367,210,
51,565,114,20,83,620,180,211,539,52,115,21,594,84,181,369,212,53,151,116,340,85,182,370,213,54,311,117,244,86,183,371,214,55,569,118,24,87,624,184,215,543,56,119,25,598,88,185,373,216,57,
155,120,344,89,186,374,217,58,315,121,248,90,187,375,218,59,573,122,28,91,628,188,219,754,60,123,29,602,92,189,377,220,61,159,124,348,93,190,378,221,62,319,125,252,94,191,379,222,63,882,126
};
// individual
// table base sel0 sel1 sel2 sel3
static const uint16_t g_etc1_y_solid_block_4i_configs[256] =
{
0xA000,0xA800,0x540B,0xAA01,0xAA01,0xFE00,0xFF00,0xFF00,0x8,0x5515,0x5509,0x5509,0xAA03,0x5508,0x5508,0x9508,0xA508,0xA908,0xAA08,0x5513,0xAA09,0xAA09,0xAA05,0xFF08,0xFF08,0x10,0x551D,0x5511,0x5511,
0xAA0B,0x5510,0x5510,0x9510,0xA510,0xA910,0xAA10,0x551B,0xAA11,0xAA11,0xAA0D,0xFF10,0xFF10,0x18,0x5525,0x5519,0x5519,0xAA13,0x5518,0x5518,0x9518,0xA518,0xA918,0xAA18,0x5523,0xAA19,0xAA19,0xAA15,
0xFF18,0xFF18,0x20,0x552D,0x5521,0x5521,0xAA1B,0x5520,0x5520,0x9520,0xA520,0xA920,0xAA20,0x552B,0xAA21,0xAA21,0xAA1D,0xFF20,0xFF20,0x28,0x5535,0x5529,0x5529,0xAA23,0x5528,0x5528,0x9528,0xA528,0xA928,
0xAA28,0x5533,0xAA29,0xAA29,0xAA25,0xFF28,0xFF28,0x30,0x553D,0x5531,0x5531,0xAA2B,0x5530,0x5530,0x9530,0xA530,0xA930,0xAA30,0x553B,0xAA31,0xAA31,0xAA2D,0xFF30,0xFF30,0x38,0x5545,0x5539,0x5539,0xAA33,
0x5538,0x5538,0x9538,0xA538,0xA938,0xAA38,0x5543,0xAA39,0xAA39,0xAA35,0xFF38,0xFF38,0x40,0x554D,0x5541,0x5541,0xAA3B,0x5540,0x5540,0x9540,0xA540,0xA940,0xAA40,0x554B,0xAA41,0xAA41,0xAA3D,0xFF40,0xFF40,
0x48,0x5555,0x5549,0x5549,0xAA43,0x5548,0x5548,0x9548,0xA548,0xA948,0xAA48,0x5553,0xAA49,0xAA49,0xAA45,0xFF48,0xFF48,0x50,0x555D,0x5551,0x5551,0xAA4B,0x5550,0x5550,0x9550,0xA550,0xA950,0xAA50,0x555B,
0xAA51,0xAA51,0xAA4D,0xFF50,0xFF50,0x58,0x5565,0x5559,0x5559,0xAA53,0x5558,0x5558,0x9558,0xA558,0xA958,0xAA58,0x5563,0xAA59,0xAA59,0xAA55,0xFF58,0xFF58,0x60,0x556D,0x5561,0x5561,0xAA5B,0x5560,0x5560,
0x9560,0xA560,0xA960,0xAA60,0x556B,0xAA61,0xAA61,0xAA5D,0xFF60,0xFF60,0x68,0x5575,0x5569,0x5569,0xAA63,0x5568,0x5568,0x9568,0xA568,0xA968,0xAA68,0x5573,0xAA69,0xAA69,0xAA65,0xFF68,0xFF68,0x70,0x557D,
0x5571,0x5571,0xAA6B,0x5570,0x5570,0x9570,0xA570,0xA970,0xAA70,0x557B,0xAA71,0xAA71,0xAA6D,0xFF70,0xFF70,0x78,0x78,0x5579,0x5579,0xAA73,0x5578,0x9578,0x2578,0xE6E,0x278
};
static const uint16_t g_etc1_y_solid_block_2i_configs[256] =
{
0x416,0x800,0xA00,0x50B,0xA01,0xA01,0xF00,0xF00,0xF00,0x8,0x515,0x509,0x509,0xA03,0x508,0x508,0xF01,0xF01,0xA08,0xA08,0x513,0xA09,0xA09,0xA05,0xF08,0xF08,0x10,0x51D,0x511,0x511,0xA0B,0x510,0x510,0xF09,
0xF09,0xA10,0xA10,0x51B,0xA11,0xA11,0xA0D,0xF10,0xF10,0x18,0x525,0x519,0x519,0xA13,0x518,0x518,0xF11,0xF11,0xA18,0xA18,0x523,0xA19,0xA19,0xA15,0xF18,0xF18,0x20,0x52D,0x521,0x521,0xA1B,0x520,0x520,0xF19,
0xF19,0xA20,0xA20,0x52B,0xA21,0xA21,0xA1D,0xF20,0xF20,0x28,0x535,0x529,0x529,0xA23,0x528,0x528,0xF21,0xF21,0xA28,0xA28,0x533,0xA29,0xA29,0xA25,0xF28,0xF28,0x30,0x53D,0x531,0x531,0xA2B,0x530,0x530,0xF29,
0xF29,0xA30,0xA30,0x53B,0xA31,0xA31,0xA2D,0xF30,0xF30,0x38,0x545,0x539,0x539,0xA33,0x538,0x538,0xF31,0xF31,0xA38,0xA38,0x543,0xA39,0xA39,0xA35,0xF38,0xF38,0x40,0x54D,0x541,0x541,0xA3B,0x540,0x540,0xF39,
0xF39,0xA40,0xA40,0x54B,0xA41,0xA41,0xA3D,0xF40,0xF40,0x48,0x555,0x549,0x549,0xA43,0x548,0x548,0xF41,0xF41,0xA48,0xA48,0x553,0xA49,0xA49,0xA45,0xF48,0xF48,0x50,0x55D,0x551,0x551,0xA4B,0x550,0x550,0xF49,
0xF49,0xA50,0xA50,0x55B,0xA51,0xA51,0xA4D,0xF50,0xF50,0x58,0x565,0x559,0x559,0xA53,0x558,0x558,0xF51,0xF51,0xA58,0xA58,0x563,0xA59,0xA59,0xA55,0xF58,0xF58,0x60,0x56D,0x561,0x561,0xA5B,0x560,0x560,0xF59,
0xF59,0xA60,0xA60,0x56B,0xA61,0xA61,0xA5D,0xF60,0xF60,0x68,0x575,0x569,0x569,0xA63,0x568,0x568,0xF61,0xF61,0xA68,0xA68,0x573,0xA69,0xA69,0xA65,0xF68,0xF68,0x70,0x57D,0x571,0x571,0xA6B,0x570,0x570,0xF69,
0xF69,0xA70,0xA70,0x57B,0xA71,0xA71,0xA6D,0xF70,0xF70,0x78,0x78,0x579,0x579,0xA73,0x578,0x578,0xE6E,0x278
};
static const uint16_t g_etc1_y_solid_block_1i_configs[256] =
{
0x0,0x116,0x200,0x200,0x10B,0x201,0x201,0x300,0x300,0x8,0x115,0x109,0x109,0x203,0x108,0x108,0x114,0x301,0x204,0x208,0x208,0x113,0x209,0x209,0x205,0x308,0x10,0x11D,0x111,0x111,0x20B,0x110,0x110,0x11C,0x309,
0x20C,0x210,0x210,0x11B,0x211,0x211,0x20D,0x310,0x18,0x125,0x119,0x119,0x213,0x118,0x118,0x124,0x311,0x214,0x218,0x218,0x123,0x219,0x219,0x215,0x318,0x20,0x12D,0x121,0x121,0x21B,0x120,0x120,0x12C,0x319,0x21C,
0x220,0x220,0x12B,0x221,0x221,0x21D,0x320,0x28,0x135,0x129,0x129,0x223,0x128,0x128,0x134,0x321,0x224,0x228,0x228,0x133,0x229,0x229,0x225,0x328,0x30,0x13D,0x131,0x131,0x22B,0x130,0x130,0x13C,0x329,0x22C,0x230,
0x230,0x13B,0x231,0x231,0x22D,0x330,0x38,0x145,0x139,0x139,0x233,0x138,0x138,0x144,0x331,0x234,0x238,0x238,0x143,0x239,0x239,0x235,0x338,0x40,0x14D,0x141,0x141,0x23B,0x140,0x140,0x14C,0x339,0x23C,0x240,0x240,
0x14B,0x241,0x241,0x23D,0x340,0x48,0x155,0x149,0x149,0x243,0x148,0x148,0x154,0x341,0x244,0x248,0x248,0x153,0x249,0x249,0x245,0x348,0x50,0x15D,0x151,0x151,0x24B,0x150,0x150,0x15C,0x349,0x24C,0x250,0x250,0x15B,
0x251,0x251,0x24D,0x350,0x58,0x165,0x159,0x159,0x253,0x158,0x158,0x164,0x351,0x254,0x258,0x258,0x163,0x259,0x259,0x255,0x358,0x60,0x16D,0x161,0x161,0x25B,0x160,0x160,0x16C,0x359,0x25C,0x260,0x260,0x16B,0x261,
0x261,0x25D,0x360,0x68,0x175,0x169,0x169,0x263,0x168,0x168,0x174,0x361,0x264,0x268,0x268,0x173,0x269,0x269,0x265,0x368,0x70,0x17D,0x171,0x171,0x26B,0x170,0x170,0x17C,0x369,0x26C,0x270,0x270,0x17B,0x271,0x271,
0x26D,0x370,0x78,0x78,0x179,0x179,0x273,0x178,0x178,0x26E,0x278
};
// We don't have any useful hints to accelerate single channel ETC1, so we need to real-time encode from scratch.
bool transcode_uastc_to_etc1(const uastc_block& src_blk, void* pDst, uint32_t channel)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
#if 0
for (uint32_t individ = 0; individ < 2; individ++)
{
uint32_t overall_error = 0;
for (uint32_t c = 0; c < 256; c++)
{
uint32_t best_err = UINT32_MAX;
uint32_t best_individ = 0;
uint32_t best_base = 0;
uint32_t best_sels[4] = { 0,0,0,0 };
uint32_t best_table = 0;
const uint32_t limit = individ ? 16 : 32;
for (uint32_t table = 0; table < 8; table++)
{
for (uint32_t base = 0; base < limit; base++)
{
uint32_t total_e = 0;
uint32_t sels[4] = { 0,0,0,0 };
const uint32_t N = 4;
for (uint32_t i = 0; i < basisu::minimum<uint32_t>(N, (256 - c)); i++)
{
uint32_t best_sel_e = UINT32_MAX;
uint32_t best_sel = 0;
for (uint32_t sel = 0; sel < 4; sel++)
{
int val = individ ? ((base << 4) | base) : ((base << 3) | (base >> 2));
val = clamp255(val + g_etc1_inten_tables[table][sel]);
int e = iabs(val - clamp255(c + i));
if (e < best_sel_e)
{
best_sel_e = e;
best_sel = sel;
}
} // sel
sels[i] = best_sel;
total_e += best_sel_e * best_sel_e;
} // i
if (total_e < best_err)
{
best_err = total_e;
best_individ = individ;
best_base = base;
memcpy(best_sels, sels, sizeof(best_sels));
best_table = table;
}
} // base
} // table
//printf("%u: %u,%u,%u,%u,%u,%u,%u,%u\n", c, best_err, best_individ, best_table, best_base, best_sels[0], best_sels[1], best_sels[2], best_sels[3]);
uint32_t encoded = best_table | (best_base << 3) |
(best_sels[0] << 8) |
(best_sels[1] << 10) |
(best_sels[2] << 12) |
(best_sels[3] << 14);
printf("0x%X,", encoded);
overall_error += best_err;
} // c
printf("\n");
printf("Overall error: %u\n", overall_error);
} // individ
exit(0);
#endif
#if 0
for (uint32_t individ = 0; individ < 2; individ++)
{
uint32_t overall_error = 0;
for (uint32_t c = 0; c < 256; c++)
{
uint32_t best_err = UINT32_MAX;
uint32_t best_individ = 0;
uint32_t best_base = 0;
uint32_t best_sels[4] = { 0,0,0,0 };
uint32_t best_table = 0;
const uint32_t limit = individ ? 16 : 32;
for (uint32_t table = 0; table < 8; table++)
{
for (uint32_t base = 0; base < limit; base++)
{
uint32_t total_e = 0;
uint32_t sels[4] = { 0,0,0,0 };
const uint32_t N = 1;
for (uint32_t i = 0; i < basisu::minimum<uint32_t>(N, (256 - c)); i++)
{
uint32_t best_sel_e = UINT32_MAX;
uint32_t best_sel = 0;
for (uint32_t sel = 0; sel < 4; sel++)
{
int val = individ ? ((base << 4) | base) : ((base << 3) | (base >> 2));
val = clamp255(val + g_etc1_inten_tables[table][sel]);
int e = iabs(val - clamp255(c + i));
if (e < best_sel_e)
{
best_sel_e = e;
best_sel = sel;
}
} // sel
sels[i] = best_sel;
total_e += best_sel_e * best_sel_e;
} // i
if (total_e < best_err)
{
best_err = total_e;
best_individ = individ;
best_base = base;
memcpy(best_sels, sels, sizeof(best_sels));
best_table = table;
}
} // base
} // table
//printf("%u: %u,%u,%u,%u,%u,%u,%u,%u\n", c, best_err, best_individ, best_table, best_base, best_sels[0], best_sels[1], best_sels[2], best_sels[3]);
uint32_t encoded = best_table | (best_base << 3) |
(best_sels[0] << 8) |
(best_sels[1] << 10) |
(best_sels[2] << 12) |
(best_sels[3] << 14);
printf("0x%X,", encoded);
overall_error += best_err;
} // c
printf("\n");
printf("Overall error: %u\n", overall_error);
} // individ
exit(0);
#endif
decoder_etc_block& dst_blk = *static_cast<decoder_etc_block*>(pDst);
if (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
const uint32_t y = unpacked_src_blk.m_solid_color[channel];
const uint32_t encoded_config = g_etc1_y_solid_block_configs[y];
const uint32_t base = encoded_config & 31;
const uint32_t sel = (encoded_config >> 5) & 3;
const uint32_t table = encoded_config >> 7;
dst_blk.m_bytes[3] = (uint8_t)(2 | (table << 5) | (table << 2));
dst_blk.m_bytes[0] = (uint8_t)(base << 3);
dst_blk.m_bytes[1] = (uint8_t)(base << 3);
dst_blk.m_bytes[2] = (uint8_t)(base << 3);
memcpy(dst_blk.m_bytes + 4, &s_etc1_solid_selectors[sel][0], 4);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
uint8_t block_y[4][4];
for (uint32_t i = 0; i < 16; i++)
((uint8_t*)block_y)[i] = ((color32*)block_pixels)[i][channel];
int upper_avg, lower_avg, left_avg, right_avg;
bool flip = pack_etc1_y_estimate_flipped(&block_y[0][0], upper_avg, lower_avg, left_avg, right_avg);
// non-flipped: | |
// vs.
// flipped: --
// --
uint32_t low[2] = { 255, 255 }, high[2] = { 0, 0 };
if (flip)
{
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t v = block_y[y][x];
low[0] = basisu::minimum(low[0], v);
high[0] = basisu::maximum(high[0], v);
}
}
for (uint32_t y = 2; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t v = block_y[y][x];
low[1] = basisu::minimum(low[1], v);
high[1] = basisu::maximum(high[1], v);
}
}
}
else
{
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const uint32_t v = block_y[y][x];
low[0] = basisu::minimum(low[0], v);
high[0] = basisu::maximum(high[0], v);
}
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 2; x < 4; x++)
{
const uint32_t v = block_y[y][x];
low[1] = basisu::minimum(low[1], v);
high[1] = basisu::maximum(high[1], v);
}
}
}
const uint32_t range[2] = { high[0] - low[0], high[1] - low[1] };
dst_blk.m_bytes[3] = (uint8_t)((int)flip);
if ((range[0] <= 3) && (range[1] <= 3))
{
// This is primarily for better gradients.
dst_blk.m_bytes[0] = 0;
dst_blk.m_bytes[1] = 0;
dst_blk.m_bytes[2] = 0;
uint16_t l_bitmask = 0, h_bitmask = 0;
for (uint32_t subblock = 0; subblock < 2; subblock++)
{
const uint32_t encoded = (range[subblock] == 0) ? g_etc1_y_solid_block_1i_configs[low[subblock]] : ((range[subblock] < 2) ? g_etc1_y_solid_block_2i_configs[low[subblock]] : g_etc1_y_solid_block_4i_configs[low[subblock]]);
const uint32_t table = encoded & 7;
const uint32_t base = (encoded >> 3) & 31;
assert(base <= 15);
const uint32_t sels[4] = { (encoded >> 8) & 3, (encoded >> 10) & 3, (encoded >> 12) & 3, (encoded >> 14) & 3 };
dst_blk.m_bytes[3] |= (uint8_t)(table << (subblock ? 2 : 5));
const uint32_t sv = base << (subblock ? 0 : 4);
dst_blk.m_bytes[0] |= (uint8_t)(sv);
dst_blk.m_bytes[1] |= (uint8_t)(sv);
dst_blk.m_bytes[2] |= (uint8_t)(sv);
if (flip)
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t t = block_y[y + subblock * 2][x];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
uint32_t t = block_y[y][x + subblock * 2];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
} // subblock
dst_blk.m_bytes[7] = (uint8_t)(l_bitmask);
dst_blk.m_bytes[6] = (uint8_t)(l_bitmask >> 8);
dst_blk.m_bytes[5] = (uint8_t)(h_bitmask);
dst_blk.m_bytes[4] = (uint8_t)(h_bitmask >> 8);
return true;
}
uint32_t y0 = ((flip ? upper_avg : left_avg) * 31 + 127) / 255;
uint32_t y1 = ((flip ? lower_avg : right_avg) * 31 + 127) / 255;
bool diff = true;
int dy = y1 - y0;
if ((dy < cETC1ColorDeltaMin) || (dy > cETC1ColorDeltaMax))
{
diff = false;
y0 = ((flip ? upper_avg : left_avg) * 15 + 127) / 255;
y1 = ((flip ? lower_avg : right_avg) * 15 + 127) / 255;
dst_blk.m_bytes[0] = (uint8_t)(y1 | (y0 << 4));
dst_blk.m_bytes[1] = (uint8_t)(y1 | (y0 << 4));
dst_blk.m_bytes[2] = (uint8_t)(y1 | (y0 << 4));
}
else
{
dy = basisu::clamp<int>(dy, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
y1 = y0 + dy;
if (dy < 0) dy += 8;
dst_blk.m_bytes[0] = (uint8_t)((y0 << 3) | dy);
dst_blk.m_bytes[1] = (uint8_t)((y0 << 3) | dy);
dst_blk.m_bytes[2] = (uint8_t)((y0 << 3) | dy);
dst_blk.m_bytes[3] |= 2;
}
const uint32_t base_y[2] = { diff ? ((y0 << 3) | (y0 >> 2)) : ((y0 << 4) | y0), diff ? ((y1 << 3) | (y1 >> 2)) : ((y1 << 4) | y1) };
uint32_t enc_range[2];
for (uint32_t subset = 0; subset < 2; subset++)
{
const int pos = basisu::iabs((int)high[subset] - (int)base_y[subset]);
const int neg = basisu::iabs((int)base_y[subset] - (int)low[subset]);
enc_range[subset] = basisu::maximum(pos, neg);
}
uint16_t l_bitmask = 0, h_bitmask = 0;
for (uint32_t subblock = 0; subblock < 2; subblock++)
{
if ((!diff) && (range[subblock] <= 3))
{
const uint32_t encoded = (range[subblock] == 0) ? g_etc1_y_solid_block_1i_configs[low[subblock]] : ((range[subblock] < 2) ? g_etc1_y_solid_block_2i_configs[low[subblock]] : g_etc1_y_solid_block_4i_configs[low[subblock]]);
const uint32_t table = encoded & 7;
const uint32_t base = (encoded >> 3) & 31;
assert(base <= 15);
const uint32_t sels[4] = { (encoded >> 8) & 3, (encoded >> 10) & 3, (encoded >> 12) & 3, (encoded >> 14) & 3 };
dst_blk.m_bytes[3] |= (uint8_t)(table << (subblock ? 2 : 5));
const uint32_t mask = ~(0xF << (subblock ? 0 : 4));
dst_blk.m_bytes[0] &= mask;
dst_blk.m_bytes[1] &= mask;
dst_blk.m_bytes[2] &= mask;
const uint32_t sv = base << (subblock ? 0 : 4);
dst_blk.m_bytes[0] |= (uint8_t)(sv);
dst_blk.m_bytes[1] |= (uint8_t)(sv);
dst_blk.m_bytes[2] |= (uint8_t)(sv);
if (flip)
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t t = block_y[y + subblock * 2][x];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
uint32_t t = block_y[y][x + subblock * 2];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
continue;
} // if
uint32_t best_err = UINT32_MAX;
uint8_t best_sels[8];
uint32_t best_inten = 0;
const int base = base_y[subblock];
const int low_limit = -base;
const int high_limit = 255 - base;
assert(low_limit <= 0 && high_limit >= 0);
uint32_t inten_table_mask = 0xFF;
const uint32_t er = enc_range[subblock];
// Each one of these tables is expensive to evaluate, so let's only examine the ones we know may be useful.
if (er <= 51)
{
inten_table_mask = 0xF;
if (er > 22)
inten_table_mask &= ~(1 << 0);
if ((er < 4) || (er > 39))
inten_table_mask &= ~(1 << 1);
if (er < 9)
inten_table_mask &= ~(1 << 2);
if (er < 12)
inten_table_mask &= ~(1 << 3);
}
else
{
inten_table_mask &= ~((1 << 0) | (1 << 1));
if (er > 60)
inten_table_mask &= ~(1 << 2);
if (er > 89)
inten_table_mask &= ~(1 << 3);
if (er > 120)
inten_table_mask &= ~(1 << 4);
if (er > 136)
inten_table_mask &= ~(1 << 5);
if (er > 174)
inten_table_mask &= ~(1 << 6);
}
for (uint32_t inten = 0; inten < 8; inten++)
{
if ((inten_table_mask & (1 << inten)) == 0)
continue;
const int t0 = basisu::maximum(low_limit, g_etc1_inten_tables[inten][0]);
const int t1 = basisu::maximum(low_limit, g_etc1_inten_tables[inten][1]);
const int t2 = basisu::minimum(high_limit, g_etc1_inten_tables[inten][2]);
const int t3 = basisu::minimum(high_limit, g_etc1_inten_tables[inten][3]);
assert((t0 <= t1) && (t1 <= t2) && (t2 <= t3));
const int tv[4] = { t2, t3, t1, t0 };
const int thresh01 = t0 + t1;
const int thresh12 = t1 + t2;
const int thresh23 = t2 + t3;
assert(thresh01 <= thresh12 && thresh12 <= thresh23);
static const uint8_t s_table[4] = { 1, 0, 2, 3 };
uint32_t total_err = 0;
uint8_t sels[8];
if (flip)
{
if (((int)high[subblock] - base) * 2 < thresh01)
{
memset(sels, 3, 8);
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const int delta = (int)block_y[y + subblock * 2][x] - base;
const uint32_t c = 3;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else if (((int)low[subblock] - base) * 2 >= thresh23)
{
memset(sels, 1, 8);
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const int delta = (int)block_y[y + subblock * 2][x] - base;
const uint32_t c = 1;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else
{
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const int delta = (int)block_y[y + subblock * 2][x] - base;
const int delta2 = delta * 2;
uint32_t c = s_table[(delta2 < thresh01) + (delta2 < thresh12) + (delta2 < thresh23)];
sels[y * 4 + x] = (uint8_t)c;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
}
else
{
if (((int)high[subblock] - base) * 2 < thresh01)
{
memset(sels, 3, 8);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const int delta = (int)block_y[y][x + subblock * 2] - base;
const uint32_t c = 3;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else if (((int)low[subblock] - base) * 2 >= thresh23)
{
memset(sels, 1, 8);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const int delta = (int)block_y[y][x + subblock * 2] - base;
const uint32_t c = 1;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else
{
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const int delta = (int)block_y[y][x + subblock * 2] - base;
const int delta2 = delta * 2;
uint32_t c = s_table[(delta2 < thresh01) + (delta2 < thresh12) + (delta2 < thresh23)];
sels[y * 2 + x] = (uint8_t)c;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
}
if (total_err < best_err)
{
best_err = total_err;
best_inten = inten;
memcpy(best_sels, sels, 8);
}
} // inten
//g_inten_hist[best_inten][enc_range[subblock]]++;
dst_blk.m_bytes[3] |= (uint8_t)(best_inten << (subblock ? 2 : 5));
if (flip)
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t t = best_sels[y * 4 + x];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
uint32_t t = best_sels[y * 2 + x];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
} // subblock
dst_blk.m_bytes[7] = (uint8_t)(l_bitmask);
dst_blk.m_bytes[6] = (uint8_t)(l_bitmask >> 8);
dst_blk.m_bytes[5] = (uint8_t)(h_bitmask);
dst_blk.m_bytes[4] = (uint8_t)(h_bitmask >> 8);
return true;
}
const uint32_t ETC2_EAC_MIN_VALUE_SELECTOR = 3, ETC2_EAC_MAX_VALUE_SELECTOR = 7;
void transcode_uastc_to_etc2_eac_a8(unpacked_uastc_block& unpacked_src_blk, color32 block_pixels[4][4], void* pDst)
{
eac_block& dst = *static_cast<eac_block*>(pDst);
const color32* pSrc_pixels = &block_pixels[0][0];
if ((!g_uastc_mode_has_alpha[unpacked_src_blk.m_mode]) || (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR))
{
const uint32_t a = (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR) ? unpacked_src_blk.m_solid_color[3] : 255;
dst.m_base = a;
dst.m_table = 13;
dst.m_multiplier = 1;
memcpy(dst.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
uint32_t min_a = 255, max_a = 0;
for (uint32_t i = 0; i < 16; i++)
{
min_a = basisu::minimum<uint32_t>(min_a, pSrc_pixels[i].a);
max_a = basisu::maximum<uint32_t>(max_a, pSrc_pixels[i].a);
}
if (min_a == max_a)
{
dst.m_base = min_a;
dst.m_table = 13;
dst.m_multiplier = 1;
memcpy(dst.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
const uint32_t table = unpacked_src_blk.m_etc2_hints & 0xF;
const int multiplier = unpacked_src_blk.m_etc2_hints >> 4;
assert(multiplier >= 1);
dst.m_multiplier = multiplier;
dst.m_table = table;
const float range = (float)(g_eac_modifier_table[dst.m_table][ETC2_EAC_MAX_VALUE_SELECTOR] - g_eac_modifier_table[dst.m_table][ETC2_EAC_MIN_VALUE_SELECTOR]);
const int center = (int)roundf(basisu::lerp((float)min_a, (float)max_a, (float)(0 - g_eac_modifier_table[dst.m_table][ETC2_EAC_MIN_VALUE_SELECTOR]) / range));
dst.m_base = center;
const int8_t* pTable = &g_eac_modifier_table[dst.m_table][0];
uint32_t vals[8];
for (uint32_t j = 0; j < 8; j++)
vals[j] = clamp255(center + (pTable[j] * multiplier));
uint64_t sels = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t a = block_pixels[i & 3][i >> 2].a;
const uint32_t err0 = (basisu::iabs(vals[0] - a) << 3) | 0;
const uint32_t err1 = (basisu::iabs(vals[1] - a) << 3) | 1;
const uint32_t err2 = (basisu::iabs(vals[2] - a) << 3) | 2;
const uint32_t err3 = (basisu::iabs(vals[3] - a) << 3) | 3;
const uint32_t err4 = (basisu::iabs(vals[4] - a) << 3) | 4;
const uint32_t err5 = (basisu::iabs(vals[5] - a) << 3) | 5;
const uint32_t err6 = (basisu::iabs(vals[6] - a) << 3) | 6;
const uint32_t err7 = (basisu::iabs(vals[7] - a) << 3) | 7;
const uint32_t min_err = basisu::minimum(basisu::minimum(basisu::minimum(basisu::minimum(basisu::minimum(basisu::minimum(err0, err1, err2), err3), err4), err5), err6), err7);
const uint64_t best_index = min_err & 7;
sels |= (best_index << (45 - i * 3));
}
dst.set_selector_bits(sels);
}
bool transcode_uastc_to_etc2_rgba(const uastc_block& src_blk, void* pDst)
{
eac_block& dst_etc2_eac_a8_blk = *static_cast<eac_block*>(pDst);
decoder_etc_block& dst_etc1_blk = static_cast<decoder_etc_block*>(pDst)[1];
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
color32 block_pixels[4][4];
if (unpacked_src_blk.m_mode != UASTC_MODE_INDEX_SOLID_COLOR)
{
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
}
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, &dst_etc2_eac_a8_blk);
transcode_uastc_to_etc1(unpacked_src_blk, block_pixels, &dst_etc1_blk);
return true;
}
static const uint8_t s_uastc5_to_bc1[32] = { 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1 };
static const uint8_t s_uastc4_to_bc1[16] = { 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 1, 1, 1 };
static const uint8_t s_uastc3_to_bc1[8] = { 0, 0, 2, 2, 3, 3, 1, 1 };
static const uint8_t s_uastc2_to_bc1[4] = { 0, 2, 3, 1 };
static const uint8_t s_uastc1_to_bc1[2] = { 0, 1 };
const uint8_t* s_uastc_to_bc1_weights[6] = { nullptr, s_uastc1_to_bc1, s_uastc2_to_bc1, s_uastc3_to_bc1, s_uastc4_to_bc1, s_uastc5_to_bc1 };
void encode_bc4(void* pDst, const uint8_t* pPixels, uint32_t stride)
{
uint32_t min0_v, max0_v, min1_v, max1_v,min2_v, max2_v, min3_v, max3_v;
{
min0_v = max0_v = pPixels[0 * stride];
min1_v = max1_v = pPixels[1 * stride];
min2_v = max2_v = pPixels[2 * stride];
min3_v = max3_v = pPixels[3 * stride];
}
{
uint32_t v0 = pPixels[4 * stride]; min0_v = basisu::minimum(min0_v, v0); max0_v = basisu::maximum(max0_v, v0);
uint32_t v1 = pPixels[5 * stride]; min1_v = basisu::minimum(min1_v, v1); max1_v = basisu::maximum(max1_v, v1);
uint32_t v2 = pPixels[6 * stride]; min2_v = basisu::minimum(min2_v, v2); max2_v = basisu::maximum(max2_v, v2);
uint32_t v3 = pPixels[7 * stride]; min3_v = basisu::minimum(min3_v, v3); max3_v = basisu::maximum(max3_v, v3);
}
{
uint32_t v0 = pPixels[8 * stride]; min0_v = basisu::minimum(min0_v, v0); max0_v = basisu::maximum(max0_v, v0);
uint32_t v1 = pPixels[9 * stride]; min1_v = basisu::minimum(min1_v, v1); max1_v = basisu::maximum(max1_v, v1);
uint32_t v2 = pPixels[10 * stride]; min2_v = basisu::minimum(min2_v, v2); max2_v = basisu::maximum(max2_v, v2);
uint32_t v3 = pPixels[11 * stride]; min3_v = basisu::minimum(min3_v, v3); max3_v = basisu::maximum(max3_v, v3);
}
{
uint32_t v0 = pPixels[12 * stride]; min0_v = basisu::minimum(min0_v, v0); max0_v = basisu::maximum(max0_v, v0);
uint32_t v1 = pPixels[13 * stride]; min1_v = basisu::minimum(min1_v, v1); max1_v = basisu::maximum(max1_v, v1);
uint32_t v2 = pPixels[14 * stride]; min2_v = basisu::minimum(min2_v, v2); max2_v = basisu::maximum(max2_v, v2);
uint32_t v3 = pPixels[15 * stride]; min3_v = basisu::minimum(min3_v, v3); max3_v = basisu::maximum(max3_v, v3);
}
const uint32_t min_v = basisu::minimum(min0_v, min1_v, min2_v, min3_v);
const uint32_t max_v = basisu::maximum(max0_v, max1_v, max2_v, max3_v);
uint8_t* pDst_bytes = static_cast<uint8_t*>(pDst);
pDst_bytes[0] = (uint8_t)max_v;
pDst_bytes[1] = (uint8_t)min_v;
if (max_v == min_v)
{
memset(pDst_bytes + 2, 0, 6);
return;
}
const uint32_t delta = max_v - min_v;
// min_v is now 0. Compute thresholds between values by scaling max_v. It's x14 because we're adding two x7 scale factors.
const int t0 = delta * 13;
const int t1 = delta * 11;
const int t2 = delta * 9;
const int t3 = delta * 7;
const int t4 = delta * 5;
const int t5 = delta * 3;
const int t6 = delta * 1;
// BC4 floors in its divisions, which we compensate for with the 4 bias.
// This function is optimal for all possible inputs (i.e. it outputs the same results as checking all 8 values and choosing the closest one).
const int bias = 4 - min_v * 14;
static const uint32_t s_tran0[8] = { 1U , 7U , 6U , 5U , 4U , 3U , 2U , 0U };
static const uint32_t s_tran1[8] = { 1U << 3U, 7U << 3U, 6U << 3U, 5U << 3U, 4U << 3U, 3U << 3U, 2U << 3U, 0U << 3U };
static const uint32_t s_tran2[8] = { 1U << 6U, 7U << 6U, 6U << 6U, 5U << 6U, 4U << 6U, 3U << 6U, 2U << 6U, 0U << 6U };
static const uint32_t s_tran3[8] = { 1U << 9U, 7U << 9U, 6U << 9U, 5U << 9U, 4U << 9U, 3U << 9U, 2U << 9U, 0U << 9U };
uint64_t a0, a1, a2, a3;
{
const int v0 = pPixels[0 * stride] * 14 + bias;
const int v1 = pPixels[1 * stride] * 14 + bias;
const int v2 = pPixels[2 * stride] * 14 + bias;
const int v3 = pPixels[3 * stride] * 14 + bias;
a0 = s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)];
a1 = s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)];
a2 = s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)];
a3 = s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)];
}
{
const int v0 = pPixels[4 * stride] * 14 + bias;
const int v1 = pPixels[5 * stride] * 14 + bias;
const int v2 = pPixels[6 * stride] * 14 + bias;
const int v3 = pPixels[7 * stride] * 14 + bias;
a0 |= (s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)] << 12U);
a1 |= (s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)] << 12U);
a2 |= (s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)] << 12U);
a3 |= (s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)] << 12U);
}
{
const int v0 = pPixels[8 * stride] * 14 + bias;
const int v1 = pPixels[9 * stride] * 14 + bias;
const int v2 = pPixels[10 * stride] * 14 + bias;
const int v3 = pPixels[11 * stride] * 14 + bias;
a0 |= (((uint64_t)s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)]) << 24U);
a1 |= (((uint64_t)s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)]) << 24U);
a2 |= (((uint64_t)s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)]) << 24U);
a3 |= (((uint64_t)s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)]) << 24U);
}
{
const int v0 = pPixels[12 * stride] * 14 + bias;
const int v1 = pPixels[13 * stride] * 14 + bias;
const int v2 = pPixels[14 * stride] * 14 + bias;
const int v3 = pPixels[15 * stride] * 14 + bias;
a0 |= (((uint64_t)s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)]) << 36U);
a1 |= (((uint64_t)s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)]) << 36U);
a2 |= (((uint64_t)s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)]) << 36U);
a3 |= (((uint64_t)s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)]) << 36U);
}
const uint64_t f = a0 | a1 | a2 | a3;
pDst_bytes[2] = (uint8_t)f;
pDst_bytes[3] = (uint8_t)(f >> 8U);
pDst_bytes[4] = (uint8_t)(f >> 16U);
pDst_bytes[5] = (uint8_t)(f >> 24U);
pDst_bytes[6] = (uint8_t)(f >> 32U);
pDst_bytes[7] = (uint8_t)(f >> 40U);
}
static void bc1_find_sels(const color32 *pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16])
{
uint32_t block_r[4], block_g[4], block_b[4];
block_r[0] = (lr << 3) | (lr >> 2); block_g[0] = (lg << 2) | (lg >> 4); block_b[0] = (lb << 3) | (lb >> 2);
block_r[3] = (hr << 3) | (hr >> 2); block_g[3] = (hg << 2) | (hg >> 4); block_b[3] = (hb << 3) | (hb >> 2);
block_r[1] = (block_r[0] * 2 + block_r[3]) / 3; block_g[1] = (block_g[0] * 2 + block_g[3]) / 3; block_b[1] = (block_b[0] * 2 + block_b[3]) / 3;
block_r[2] = (block_r[3] * 2 + block_r[0]) / 3; block_g[2] = (block_g[3] * 2 + block_g[0]) / 3; block_b[2] = (block_b[3] * 2 + block_b[0]) / 3;
int ar = block_r[3] - block_r[0], ag = block_g[3] - block_g[0], ab = block_b[3] - block_b[0];
int dots[4];
for (uint32_t i = 0; i < 4; i++)
dots[i] = (int)block_r[i] * ar + (int)block_g[i] * ag + (int)block_b[i] * ab;
int t0 = dots[0] + dots[1], t1 = dots[1] + dots[2], t2 = dots[2] + dots[3];
ar *= 2; ag *= 2; ab *= 2;
for (uint32_t i = 0; i < 16; i++)
{
const int d = pSrc_pixels[i].r * ar + pSrc_pixels[i].g * ag + pSrc_pixels[i].b * ab;
static const uint8_t s_sels[4] = { 3, 2, 1, 0 };
// Rounding matters here!
// d <= t0: <=, not <, to the later LS step "sees" a wider range of selectors. It matters for quality.
sels[i] = s_sels[(d <= t0) + (d < t1) + (d < t2)];
}
}
static inline void bc1_find_sels_2(const color32* pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16])
{
uint32_t block_r[4], block_g[4], block_b[4];
block_r[0] = (lr << 3) | (lr >> 2); block_g[0] = (lg << 2) | (lg >> 4); block_b[0] = (lb << 3) | (lb >> 2);
block_r[3] = (hr << 3) | (hr >> 2); block_g[3] = (hg << 2) | (hg >> 4); block_b[3] = (hb << 3) | (hb >> 2);
block_r[1] = (block_r[0] * 2 + block_r[3]) / 3; block_g[1] = (block_g[0] * 2 + block_g[3]) / 3; block_b[1] = (block_b[0] * 2 + block_b[3]) / 3;
block_r[2] = (block_r[3] * 2 + block_r[0]) / 3; block_g[2] = (block_g[3] * 2 + block_g[0]) / 3; block_b[2] = (block_b[3] * 2 + block_b[0]) / 3;
int ar = block_r[3] - block_r[0], ag = block_g[3] - block_g[0], ab = block_b[3] - block_b[0];
int dots[4];
for (uint32_t i = 0; i < 4; i++)
dots[i] = (int)block_r[i] * ar + (int)block_g[i] * ag + (int)block_b[i] * ab;
int t0 = dots[0] + dots[1], t1 = dots[1] + dots[2], t2 = dots[2] + dots[3];
ar *= 2; ag *= 2; ab *= 2;
static const uint8_t s_sels[4] = { 3, 2, 1, 0 };
for (uint32_t i = 0; i < 16; i += 4)
{
const int d0 = pSrc_pixels[i+0].r * ar + pSrc_pixels[i+0].g * ag + pSrc_pixels[i+0].b * ab;
const int d1 = pSrc_pixels[i+1].r * ar + pSrc_pixels[i+1].g * ag + pSrc_pixels[i+1].b * ab;
const int d2 = pSrc_pixels[i+2].r * ar + pSrc_pixels[i+2].g * ag + pSrc_pixels[i+2].b * ab;
const int d3 = pSrc_pixels[i+3].r * ar + pSrc_pixels[i+3].g * ag + pSrc_pixels[i+3].b * ab;
sels[i+0] = s_sels[(d0 <= t0) + (d0 < t1) + (d0 < t2)];
sels[i+1] = s_sels[(d1 <= t0) + (d1 < t1) + (d1 < t2)];
sels[i+2] = s_sels[(d2 <= t0) + (d2 < t1) + (d2 < t2)];
sels[i+3] = s_sels[(d3 <= t0) + (d3 < t1) + (d3 < t2)];
}
}
struct vec3F { float c[3]; };
static bool compute_least_squares_endpoints_rgb(const color32* pColors, const uint8_t* pSelectors, vec3F* pXl, vec3F* pXh)
{
// Derived from bc7enc16's LS function.
// Least squares using normal equations: http://www.cs.cornell.edu/~bindel/class/cs3220-s12/notes/lec10.pdf
// I did this in matrix form first, expanded out all the ops, then optimized it a bit.
uint32_t uq00_r = 0, uq10_r = 0, ut_r = 0, uq00_g = 0, uq10_g = 0, ut_g = 0, uq00_b = 0, uq10_b = 0, ut_b = 0;
// This table is: 9 * (w * w), 9 * ((1.0f - w) * w), 9 * ((1.0f - w) * (1.0f - w))
// where w is [0,1/3,2/3,1]. 9 is the perfect multiplier.
static const uint32_t s_weight_vals[4] = { 0x000009, 0x010204, 0x040201, 0x090000 };
uint32_t weight_accum = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t r = pColors[i].c[0], g = pColors[i].c[1], b = pColors[i].c[2];
const uint32_t sel = pSelectors[i];
ut_r += r;
ut_g += g;
ut_b += b;
weight_accum += s_weight_vals[sel];
uq00_r += sel * r;
uq00_g += sel * g;
uq00_b += sel * b;
}
float q00_r = (float)uq00_r, q10_r = (float)uq10_r, t_r = (float)ut_r;
float q00_g = (float)uq00_g, q10_g = (float)uq10_g, t_g = (float)ut_g;
float q00_b = (float)uq00_b, q10_b = (float)uq10_b, t_b = (float)ut_b;
q10_r = t_r * 3.0f - q00_r;
q10_g = t_g * 3.0f - q00_g;
q10_b = t_b * 3.0f - q00_b;
float z00 = (float)((weight_accum >> 16) & 0xFF);
float z10 = (float)((weight_accum >> 8) & 0xFF);
float z11 = (float)(weight_accum & 0xFF);
float z01 = z10;
float det = z00 * z11 - z01 * z10;
if (fabs(det) < 1e-8f)
return false;
det = 3.0f / det;
float iz00, iz01, iz10, iz11;
iz00 = z11 * det;
iz01 = -z01 * det;
iz10 = -z10 * det;
iz11 = z00 * det;
pXl->c[0] = iz00 * q00_r + iz01 * q10_r; pXh->c[0] = iz10 * q00_r + iz11 * q10_r;
pXl->c[1] = iz00 * q00_g + iz01 * q10_g; pXh->c[1] = iz10 * q00_g + iz11 * q10_g;
pXl->c[2] = iz00 * q00_b + iz01 * q10_b; pXh->c[2] = iz10 * q00_b + iz11 * q10_b;
// Check and fix channel singularities - might not be needed, but is in UASTC's encoder.
for (uint32_t c = 0; c < 3; c++)
{
if ((pXl->c[c] < 0.0f) || (pXh->c[c] > 255.0f))
{
uint32_t lo_v = UINT32_MAX, hi_v = 0;
for (uint32_t i = 0; i < 16; i++)
{
lo_v = basisu::minimumu(lo_v, pColors[i].c[c]);
hi_v = basisu::maximumu(hi_v, pColors[i].c[c]);
}
if (lo_v == hi_v)
{
pXl->c[c] = (float)lo_v;
pXh->c[c] = (float)hi_v;
}
}
}
return true;
}
void encode_bc1_solid_block(void* pDst, uint32_t fr, uint32_t fg, uint32_t fb)
{
dxt1_block* pDst_block = static_cast<dxt1_block*>(pDst);
uint32_t mask = 0xAA;
uint32_t max16 = (g_bc1_match5_equals_1[fr].m_hi << 11) | (g_bc1_match6_equals_1[fg].m_hi << 5) | g_bc1_match5_equals_1[fb].m_hi;
uint32_t min16 = (g_bc1_match5_equals_1[fr].m_lo << 11) | (g_bc1_match6_equals_1[fg].m_lo << 5) | g_bc1_match5_equals_1[fb].m_lo;
if (min16 == max16)
{
// Always forbid 3 color blocks
// This is to guarantee that BC3 blocks never use punchthrough alpha (3 color) mode, which isn't supported on some (all?) GPU's.
mask = 0;
// Make l > h
if (min16 > 0)
min16--;
else
{
// l = h = 0
assert(min16 == max16 && max16 == 0);
max16 = 1;
min16 = 0;
mask = 0x55;
}
assert(max16 > min16);
}
if (max16 < min16)
{
std::swap(max16, min16);
mask ^= 0x55;
}
pDst_block->set_low_color(static_cast<uint16_t>(max16));
pDst_block->set_high_color(static_cast<uint16_t>(min16));
pDst_block->m_selectors[0] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[1] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[2] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[3] = static_cast<uint8_t>(mask);
}
static inline uint8_t to_5(uint32_t v) { v = v * 31 + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
static inline uint8_t to_6(uint32_t v) { v = v * 63 + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
// Good references: squish library, stb_dxt.
void encode_bc1(void* pDst, const uint8_t* pPixels, uint32_t flags)
{
const color32* pSrc_pixels = (const color32*)pPixels;
dxt1_block* pDst_block = static_cast<dxt1_block*>(pDst);
int avg_r = -1, avg_g = 0, avg_b = 0;
int lr = 0, lg = 0, lb = 0, hr = 0, hg = 0, hb = 0;
uint8_t sels[16];
const bool use_sels = (flags & cEncodeBC1UseSelectors) != 0;
if (use_sels)
{
// Caller is jamming in their own selectors for us to try.
const uint32_t s = pDst_block->m_selectors[0] | (pDst_block->m_selectors[1] << 8) | (pDst_block->m_selectors[2] << 16) | (pDst_block->m_selectors[3] << 24);
static const uint8_t s_sel_tran[4] = { 0, 3, 1, 2 };
for (uint32_t i = 0; i < 16; i++)
sels[i] = s_sel_tran[(s >> (i * 2)) & 3];
}
else
{
const uint32_t fr = pSrc_pixels[0].r, fg = pSrc_pixels[0].g, fb = pSrc_pixels[0].b;
uint32_t j;
for (j = 1; j < 16; j++)
if ((pSrc_pixels[j].r != fr) || (pSrc_pixels[j].g != fg) || (pSrc_pixels[j].b != fb))
break;
if (j == 16)
{
encode_bc1_solid_block(pDst, fr, fg, fb);
return;
}
// Select 2 colors along the principle axis. (There must be a faster/simpler way.)
int total_r = fr, total_g = fg, total_b = fb;
int max_r = fr, max_g = fg, max_b = fb;
int min_r = fr, min_g = fg, min_b = fb;
for (uint32_t i = 1; i < 16; i++)
{
const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
max_r = basisu::maximum(max_r, r); max_g = basisu::maximum(max_g, g); max_b = basisu::maximum(max_b, b);
min_r = basisu::minimum(min_r, r); min_g = basisu::minimum(min_g, g); min_b = basisu::minimum(min_b, b);
total_r += r; total_g += g; total_b += b;
}
avg_r = (total_r + 8) >> 4;
avg_g = (total_g + 8) >> 4;
avg_b = (total_b + 8) >> 4;
int icov[6] = { 0, 0, 0, 0, 0, 0 };
for (uint32_t i = 0; i < 16; i++)
{
int r = (int)pSrc_pixels[i].r - avg_r;
int g = (int)pSrc_pixels[i].g - avg_g;
int b = (int)pSrc_pixels[i].b - avg_b;
icov[0] += r * r;
icov[1] += r * g;
icov[2] += r * b;
icov[3] += g * g;
icov[4] += g * b;
icov[5] += b * b;
}
float cov[6];
for (uint32_t i = 0; i < 6; i++)
cov[i] = static_cast<float>(icov[i])* (1.0f / 255.0f);
#if 0
// Seems silly to use full PCA to choose 2 colors. The diff in avg. PSNR between using PCA vs. not is small (~.025 difference).
// TODO: Try 2 or 3 different normalized diagonal vectors, choose the one that results in the largest dot delta
int saxis_r = max_r - min_r;
int saxis_g = max_g - min_g;
int saxis_b = max_b - min_b;
#else
float xr = (float)(max_r - min_r);
float xg = (float)(max_g - min_g);
float xb = (float)(max_b - min_b);
//float xr = (float)(max_r - avg_r); // max-avg is nearly the same, and doesn't require computing min's
//float xg = (float)(max_g - avg_g);
//float xb = (float)(max_b - avg_b);
for (uint32_t power_iter = 0; power_iter < 4; power_iter++)
{
float r = xr * cov[0] + xg * cov[1] + xb * cov[2];
float g = xr * cov[1] + xg * cov[3] + xb * cov[4];
float b = xr * cov[2] + xg * cov[4] + xb * cov[5];
xr = r; xg = g; xb = b;
}
float k = basisu::maximum(fabsf(xr), fabsf(xg), fabsf(xb));
int saxis_r = 306, saxis_g = 601, saxis_b = 117;
if (k >= 2)
{
float m = 1024.0f / k;
saxis_r = (int)(xr * m);
saxis_g = (int)(xg * m);
saxis_b = (int)(xb * m);
}
#endif
int low_dot = INT_MAX, high_dot = INT_MIN, low_c = 0, high_c = 0;
for (uint32_t i = 0; i < 16; i++)
{
int dot = pSrc_pixels[i].r * saxis_r + pSrc_pixels[i].g * saxis_g + pSrc_pixels[i].b * saxis_b;
if (dot < low_dot)
{
low_dot = dot;
low_c = i;
}
if (dot > high_dot)
{
high_dot = dot;
high_c = i;
}
}
lr = to_5(pSrc_pixels[low_c].r);
lg = to_6(pSrc_pixels[low_c].g);
lb = to_5(pSrc_pixels[low_c].b);
hr = to_5(pSrc_pixels[high_c].r);
hg = to_6(pSrc_pixels[high_c].g);
hb = to_5(pSrc_pixels[high_c].b);
bc1_find_sels(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
} // if (use_sels)
const uint32_t total_ls_passes = (flags & cEncodeBC1HigherQuality) ? 3 : (flags & cEncodeBC1HighQuality ? 2 : 1);
for (uint32_t ls_pass = 0; ls_pass < total_ls_passes; ls_pass++)
{
// This is where the real magic happens. We have an array of candidate selectors, so let's use least squares to compute the optimal low/high endpoint colors.
vec3F xl, xh;
if (!compute_least_squares_endpoints_rgb(pSrc_pixels, sels, &xl, &xh))
{
if (avg_r < 0)
{
int total_r = 0, total_g = 0, total_b = 0;
for (uint32_t i = 0; i < 16; i++)
{
total_r += pSrc_pixels[i].r;
total_g += pSrc_pixels[i].g;
total_b += pSrc_pixels[i].b;
}
avg_r = (total_r + 8) >> 4;
avg_g = (total_g + 8) >> 4;
avg_b = (total_b + 8) >> 4;
}
// All selectors equal - treat it as a solid block which should always be equal or better.
lr = g_bc1_match5_equals_1[avg_r].m_hi;
lg = g_bc1_match6_equals_1[avg_g].m_hi;
lb = g_bc1_match5_equals_1[avg_b].m_hi;
hr = g_bc1_match5_equals_1[avg_r].m_lo;
hg = g_bc1_match6_equals_1[avg_g].m_lo;
hb = g_bc1_match5_equals_1[avg_b].m_lo;
// In high/higher quality mode, let it try again in case the optimal tables have caused the sels to diverge.
}
else
{
lr = basisu::clamp((int)((xl.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
lg = basisu::clamp((int)((xl.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
lb = basisu::clamp((int)((xl.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
hr = basisu::clamp((int)((xh.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
hg = basisu::clamp((int)((xh.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
hb = basisu::clamp((int)((xh.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
}
bc1_find_sels(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
}
uint32_t lc16 = dxt1_block::pack_unscaled_color(lr, lg, lb);
uint32_t hc16 = dxt1_block::pack_unscaled_color(hr, hg, hb);
// Always forbid 3 color blocks
if (lc16 == hc16)
{
uint8_t mask = 0;
// Make l > h
if (hc16 > 0)
hc16--;
else
{
// lc16 = hc16 = 0
assert(lc16 == hc16 && hc16 == 0);
hc16 = 0;
lc16 = 1;
mask = 0x55; // select hc16
}
assert(lc16 > hc16);
pDst_block->set_low_color(static_cast<uint16_t>(lc16));
pDst_block->set_high_color(static_cast<uint16_t>(hc16));
pDst_block->m_selectors[0] = mask;
pDst_block->m_selectors[1] = mask;
pDst_block->m_selectors[2] = mask;
pDst_block->m_selectors[3] = mask;
}
else
{
uint8_t invert_mask = 0;
if (lc16 < hc16)
{
std::swap(lc16, hc16);
invert_mask = 0x55;
}
assert(lc16 > hc16);
pDst_block->set_low_color((uint16_t)lc16);
pDst_block->set_high_color((uint16_t)hc16);
uint32_t packed_sels = 0;
static const uint8_t s_sel_trans[4] = { 0, 2, 3, 1 };
for (uint32_t i = 0; i < 16; i++)
packed_sels |= ((uint32_t)s_sel_trans[sels[i]] << (i * 2));
pDst_block->m_selectors[0] = (uint8_t)packed_sels ^ invert_mask;
pDst_block->m_selectors[1] = (uint8_t)(packed_sels >> 8) ^ invert_mask;
pDst_block->m_selectors[2] = (uint8_t)(packed_sels >> 16) ^ invert_mask;
pDst_block->m_selectors[3] = (uint8_t)(packed_sels >> 24) ^ invert_mask;
}
}
void encode_bc1_alt(void* pDst, const uint8_t* pPixels, uint32_t flags)
{
const color32* pSrc_pixels = (const color32*)pPixels;
dxt1_block* pDst_block = static_cast<dxt1_block*>(pDst);
int avg_r = -1, avg_g = 0, avg_b = 0;
int lr = 0, lg = 0, lb = 0, hr = 0, hg = 0, hb = 0;
uint8_t sels[16];
const bool use_sels = (flags & cEncodeBC1UseSelectors) != 0;
if (use_sels)
{
// Caller is jamming in their own selectors for us to try.
const uint32_t s = pDst_block->m_selectors[0] | (pDst_block->m_selectors[1] << 8) | (pDst_block->m_selectors[2] << 16) | (pDst_block->m_selectors[3] << 24);
static const uint8_t s_sel_tran[4] = { 0, 3, 1, 2 };
for (uint32_t i = 0; i < 16; i++)
sels[i] = s_sel_tran[(s >> (i * 2)) & 3];
}
else
{
const uint32_t fr = pSrc_pixels[0].r, fg = pSrc_pixels[0].g, fb = pSrc_pixels[0].b;
uint32_t j;
for (j = 1; j < 16; j++)
if ((pSrc_pixels[j].r != fr) || (pSrc_pixels[j].g != fg) || (pSrc_pixels[j].b != fb))
break;
if (j == 16)
{
encode_bc1_solid_block(pDst, fr, fg, fb);
return;
}
// Select 2 colors along the principle axis. (There must be a faster/simpler way.)
int total_r = fr, total_g = fg, total_b = fb;
int max_r = fr, max_g = fg, max_b = fb;
int min_r = fr, min_g = fg, min_b = fb;
uint32_t grayscale_flag = (fr == fg) && (fr == fb);
for (uint32_t i = 1; i < 16; i++)
{
const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
grayscale_flag &= ((r == g) && (r == b));
max_r = basisu::maximum(max_r, r); max_g = basisu::maximum(max_g, g); max_b = basisu::maximum(max_b, b);
min_r = basisu::minimum(min_r, r); min_g = basisu::minimum(min_g, g); min_b = basisu::minimum(min_b, b);
total_r += r; total_g += g; total_b += b;
}
if (grayscale_flag)
{
// Grayscale blocks are a common enough case to specialize.
if ((max_r - min_r) < 2)
{
lr = lb = hr = hb = to_5(fr);
lg = hg = to_6(fr);
}
else
{
lr = lb = to_5(min_r);
lg = to_6(min_r);
hr = hb = to_5(max_r);
hg = to_6(max_r);
}
}
else
{
avg_r = (total_r + 8) >> 4;
avg_g = (total_g + 8) >> 4;
avg_b = (total_b + 8) >> 4;
// Find the shortest vector from a AABB corner to the block's average color.
// This is to help avoid outliers.
uint32_t dist[3][2];
dist[0][0] = basisu::square(min_r - avg_r) << 3; dist[0][1] = basisu::square(max_r - avg_r) << 3;
dist[1][0] = basisu::square(min_g - avg_g) << 3; dist[1][1] = basisu::square(max_g - avg_g) << 3;
dist[2][0] = basisu::square(min_b - avg_b) << 3; dist[2][1] = basisu::square(max_b - avg_b) << 3;
uint32_t min_d0 = (dist[0][0] + dist[1][0] + dist[2][0]);
uint32_t d4 = (dist[0][0] + dist[1][0] + dist[2][1]) | 4;
min_d0 = basisu::minimum(min_d0, d4);
uint32_t min_d1 = (dist[0][1] + dist[1][0] + dist[2][0]) | 1;
uint32_t d5 = (dist[0][1] + dist[1][0] + dist[2][1]) | 5;
min_d1 = basisu::minimum(min_d1, d5);
uint32_t d2 = (dist[0][0] + dist[1][1] + dist[2][0]) | 2;
min_d0 = basisu::minimum(min_d0, d2);
uint32_t d3 = (dist[0][1] + dist[1][1] + dist[2][0]) | 3;
min_d1 = basisu::minimum(min_d1, d3);
uint32_t d6 = (dist[0][0] + dist[1][1] + dist[2][1]) | 6;
min_d0 = basisu::minimum(min_d0, d6);
uint32_t d7 = (dist[0][1] + dist[1][1] + dist[2][1]) | 7;
min_d1 = basisu::minimum(min_d1, d7);
uint32_t min_d = basisu::minimum(min_d0, min_d1);
uint32_t best_i = min_d & 7;
int delta_r = (best_i & 1) ? (max_r - avg_r) : (avg_r - min_r);
int delta_g = (best_i & 2) ? (max_g - avg_g) : (avg_g - min_g);
int delta_b = (best_i & 4) ? (max_b - avg_b) : (avg_b - min_b);
// Note: if delta_r/g/b==0, we actually want to choose a single color, so the block average color optimization kicks in.
uint32_t low_c = 0, high_c = 0;
if ((delta_r | delta_g | delta_b) != 0)
{
// Now we have a smaller AABB going from the block's average color to a cornerpoint of the larger AABB.
// Project all pixels colors along the 4 vectors going from a smaller AABB cornerpoint to the opposite cornerpoint, find largest projection.
// One of these vectors will be a decent approximation of the block's PCA.
const int saxis0_r = delta_r, saxis0_g = delta_g, saxis0_b = delta_b;
int low_dot0 = INT_MAX, high_dot0 = INT_MIN;
int low_dot1 = INT_MAX, high_dot1 = INT_MIN;
int low_dot2 = INT_MAX, high_dot2 = INT_MIN;
int low_dot3 = INT_MAX, high_dot3 = INT_MIN;
//int low_c0, low_c1, low_c2, low_c3;
//int high_c0, high_c1, high_c2, high_c3;
for (uint32_t i = 0; i < 16; i++)
{
const int dotx = pSrc_pixels[i].r * saxis0_r;
const int doty = pSrc_pixels[i].g * saxis0_g;
const int dotz = pSrc_pixels[i].b * saxis0_b;
const int dot0 = ((dotz + dotx + doty) << 4) + i;
const int dot1 = ((dotz - dotx - doty) << 4) + i;
const int dot2 = ((dotz - dotx + doty) << 4) + i;
const int dot3 = ((dotz + dotx - doty) << 4) + i;
if (dot0 < low_dot0)
{
low_dot0 = dot0;
//low_c0 = i;
}
if ((dot0 ^ 15) > high_dot0)
{
high_dot0 = dot0 ^ 15;
//high_c0 = i;
}
if (dot1 < low_dot1)
{
low_dot1 = dot1;
//low_c1 = i;
}
if ((dot1 ^ 15) > high_dot1)
{
high_dot1 = dot1 ^ 15;
//high_c1 = i;
}
if (dot2 < low_dot2)
{
low_dot2 = dot2;
//low_c2 = i;
}
if ((dot2 ^ 15) > high_dot2)
{
high_dot2 = dot2 ^ 15;
//high_c2 = i;
}
if (dot3 < low_dot3)
{
low_dot3 = dot3;
//low_c3 = i;
}
if ((dot3 ^ 15) > high_dot3)
{
high_dot3 = dot3 ^ 15;
//high_c3 = i;
}
}
low_c = low_dot0 & 15;
high_c = ~high_dot0 & 15;
uint32_t r = (high_dot0 & ~15) - (low_dot0 & ~15);
uint32_t tr = (high_dot1 & ~15) - (low_dot1 & ~15);
if (tr > r) {
low_c = low_dot1 & 15;
high_c = ~high_dot1 & 15;
r = tr;
}
tr = (high_dot2 & ~15) - (low_dot2 & ~15);
if (tr > r) {
low_c = low_dot2 & 15;
high_c = ~high_dot2 & 15;
r = tr;
}
tr = (high_dot3 & ~15) - (low_dot3 & ~15);
if (tr > r) {
low_c = low_dot3 & 15;
high_c = ~high_dot3 & 15;
}
}
lr = to_5(pSrc_pixels[low_c].r);
lg = to_6(pSrc_pixels[low_c].g);
lb = to_5(pSrc_pixels[low_c].b);
hr = to_5(pSrc_pixels[high_c].r);
hg = to_6(pSrc_pixels[high_c].g);
hb = to_5(pSrc_pixels[high_c].b);
}
bc1_find_sels_2(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
} // if (use_sels)
const uint32_t total_ls_passes = (flags & cEncodeBC1HigherQuality) ? 3 : (flags & cEncodeBC1HighQuality ? 2 : 1);
for (uint32_t ls_pass = 0; ls_pass < total_ls_passes; ls_pass++)
{
int prev_lr = lr, prev_lg = lg, prev_lb = lb, prev_hr = hr, prev_hg = hg, prev_hb = hb;
// This is where the real magic happens. We have an array of candidate selectors, so let's use least squares to compute the optimal low/high endpoint colors.
vec3F xl, xh;
if (!compute_least_squares_endpoints_rgb(pSrc_pixels, sels, &xl, &xh))
{
if (avg_r < 0)
{
int total_r = 0, total_g = 0, total_b = 0;
for (uint32_t i = 0; i < 16; i++)
{
total_r += pSrc_pixels[i].r;
total_g += pSrc_pixels[i].g;
total_b += pSrc_pixels[i].b;
}
avg_r = (total_r + 8) >> 4;
avg_g = (total_g + 8) >> 4;
avg_b = (total_b + 8) >> 4;
}
// All selectors equal - treat it as a solid block which should always be equal or better.
lr = g_bc1_match5_equals_1[avg_r].m_hi;
lg = g_bc1_match6_equals_1[avg_g].m_hi;
lb = g_bc1_match5_equals_1[avg_b].m_hi;
hr = g_bc1_match5_equals_1[avg_r].m_lo;
hg = g_bc1_match6_equals_1[avg_g].m_lo;
hb = g_bc1_match5_equals_1[avg_b].m_lo;
// In high/higher quality mode, let it try again in case the optimal tables have caused the sels to diverge.
}
else
{
lr = basisu::clamp((int)((xl.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
lg = basisu::clamp((int)((xl.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
lb = basisu::clamp((int)((xl.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
hr = basisu::clamp((int)((xh.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
hg = basisu::clamp((int)((xh.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
hb = basisu::clamp((int)((xh.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
}
if ((prev_lr == lr) && (prev_lg == lg) && (prev_lb == lb) && (prev_hr == hr) && (prev_hg == hg) && (prev_hb == hb))
break;
bc1_find_sels_2(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
}
uint32_t lc16 = dxt1_block::pack_unscaled_color(lr, lg, lb);
uint32_t hc16 = dxt1_block::pack_unscaled_color(hr, hg, hb);
// Always forbid 3 color blocks
if (lc16 == hc16)
{
uint8_t mask = 0;
// Make l > h
if (hc16 > 0)
hc16--;
else
{
// lc16 = hc16 = 0
assert(lc16 == hc16 && hc16 == 0);
hc16 = 0;
lc16 = 1;
mask = 0x55; // select hc16
}
assert(lc16 > hc16);
pDst_block->set_low_color(static_cast<uint16_t>(lc16));
pDst_block->set_high_color(static_cast<uint16_t>(hc16));
pDst_block->m_selectors[0] = mask;
pDst_block->m_selectors[1] = mask;
pDst_block->m_selectors[2] = mask;
pDst_block->m_selectors[3] = mask;
}
else
{
uint8_t invert_mask = 0;
if (lc16 < hc16)
{
std::swap(lc16, hc16);
invert_mask = 0x55;
}
assert(lc16 > hc16);
pDst_block->set_low_color((uint16_t)lc16);
pDst_block->set_high_color((uint16_t)hc16);
uint32_t packed_sels = 0;
static const uint8_t s_sel_trans[4] = { 0, 2, 3, 1 };
for (uint32_t i = 0; i < 16; i++)
packed_sels |= ((uint32_t)s_sel_trans[sels[i]] << (i * 2));
pDst_block->m_selectors[0] = (uint8_t)packed_sels ^ invert_mask;
pDst_block->m_selectors[1] = (uint8_t)(packed_sels >> 8) ^ invert_mask;
pDst_block->m_selectors[2] = (uint8_t)(packed_sels >> 16) ^ invert_mask;
pDst_block->m_selectors[3] = (uint8_t)(packed_sels >> 24) ^ invert_mask;
}
}
// Scale the UASTC first subset endpoints and first plane's weight indices directly to BC1's - fastest.
void transcode_uastc_to_bc1_hint0(const unpacked_uastc_block& unpacked_src_blk, void* pDst)
{
const uint32_t mode = unpacked_src_blk.m_mode;
const astc_block_desc& astc_blk = unpacked_src_blk.m_astc;
dxt1_block& b = *static_cast<dxt1_block*>(pDst);
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t total_comps = g_uastc_mode_comps[mode];
if (total_comps == 2)
{
const uint32_t l = g_astc_unquant[endpoint_range][astc_blk.m_endpoints[0]].m_unquant;
const uint32_t h = g_astc_unquant[endpoint_range][astc_blk.m_endpoints[1]].m_unquant;
b.set_low_color(dxt1_block::pack_color(color32(l, l, l, 255), true, 127));
b.set_high_color(dxt1_block::pack_color(color32(h, h, h, 255), true, 127));
}
else
{
b.set_low_color(dxt1_block::pack_color(
color32(g_astc_unquant[endpoint_range][astc_blk.m_endpoints[0]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[2]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[4]].m_unquant,
255), true, 127)
);
b.set_high_color(dxt1_block::pack_color(
color32(g_astc_unquant[endpoint_range][astc_blk.m_endpoints[1]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[3]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[5]].m_unquant,
255), true, 127)
);
}
if (b.get_low_color() == b.get_high_color())
{
// Always forbid 3 color blocks
uint16_t lc16 = (uint16_t)b.get_low_color();
uint16_t hc16 = (uint16_t)b.get_high_color();
uint8_t mask = 0;
// Make l > h
if (hc16 > 0)
hc16--;
else
{
// lc16 = hc16 = 0
assert(lc16 == hc16 && hc16 == 0);
hc16 = 0;
lc16 = 1;
mask = 0x55; // select hc16
}
assert(lc16 > hc16);
b.set_low_color(static_cast<uint16_t>(lc16));
b.set_high_color(static_cast<uint16_t>(hc16));
b.m_selectors[0] = mask;
b.m_selectors[1] = mask;
b.m_selectors[2] = mask;
b.m_selectors[3] = mask;
}
else
{
bool invert = false;
if (b.get_low_color() < b.get_high_color())
{
std::swap(b.m_low_color[0], b.m_high_color[0]);
std::swap(b.m_low_color[1], b.m_high_color[1]);
invert = true;
}
const uint8_t* pTran = s_uastc_to_bc1_weights[g_uastc_mode_weight_bits[mode]];
const uint32_t plane_shift = g_uastc_mode_planes[mode] - 1;
uint32_t sels = 0;
for (int i = 15; i >= 0; --i)
{
uint32_t s = pTran[astc_blk.m_weights[i << plane_shift]];
if (invert)
s ^= 1;
sels = (sels << 2) | s;
}
b.m_selectors[0] = sels & 0xFF;
b.m_selectors[1] = (sels >> 8) & 0xFF;
b.m_selectors[2] = (sels >> 16) & 0xFF;
b.m_selectors[3] = (sels >> 24) & 0xFF;
}
}
// Scale the UASTC first plane's weight indices to BC1, use 1 or 2 least squares passes to compute endpoints - no PCA needed.
void transcode_uastc_to_bc1_hint1(const unpacked_uastc_block& unpacked_src_blk, const color32 block_pixels[4][4], void* pDst, bool high_quality)
{
const uint32_t mode = unpacked_src_blk.m_mode;
const astc_block_desc& astc_blk = unpacked_src_blk.m_astc;
dxt1_block& b = *static_cast<dxt1_block*>(pDst);
b.set_low_color(1);
b.set_high_color(0);
const uint8_t* pTran = s_uastc_to_bc1_weights[g_uastc_mode_weight_bits[mode]];
const uint32_t plane_shift = g_uastc_mode_planes[mode] - 1;
uint32_t sels = 0;
for (int i = 15; i >= 0; --i)
{
sels <<= 2;
sels |= pTran[astc_blk.m_weights[i << plane_shift]];
}
b.m_selectors[0] = sels & 0xFF;
b.m_selectors[1] = (sels >> 8) & 0xFF;
b.m_selectors[2] = (sels >> 16) & 0xFF;
b.m_selectors[3] = (sels >> 24) & 0xFF;
encode_bc1(&b, (const uint8_t*)&block_pixels[0][0].c[0], (high_quality ? cEncodeBC1HighQuality : 0) | cEncodeBC1UseSelectors);
}
bool transcode_uastc_to_bc1(const uastc_block& src_blk, void* pDst, bool high_quality)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
encode_bc1_solid_block(pDst, unpacked_src_blk.m_solid_color.r, unpacked_src_blk.m_solid_color.g, unpacked_src_blk.m_solid_color.b);
return true;
}
if ((!high_quality) && (unpacked_src_blk.m_bc1_hint0))
transcode_uastc_to_bc1_hint0(unpacked_src_blk, pDst);
else
{
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
if (unpacked_src_blk.m_bc1_hint1)
transcode_uastc_to_bc1_hint1(unpacked_src_blk, block_pixels, pDst, high_quality);
else
encode_bc1(pDst, &block_pixels[0][0].r, high_quality ? cEncodeBC1HighQuality : 0);
}
return true;
}
static void write_bc4_solid_block(uint8_t* pDst, uint32_t a)
{
pDst[0] = (uint8_t)a;
pDst[1] = (uint8_t)a;
memset(pDst + 2, 0, 6);
}
bool transcode_uastc_to_bc3(const uastc_block& src_blk, void* pDst, bool high_quality)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
void* pBC4_block = pDst;
dxt1_block* pBC1_block = &static_cast<dxt1_block*>(pDst)[1];
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block), unpacked_src_blk.m_solid_color.a);
encode_bc1_solid_block(pBC1_block, unpacked_src_blk.m_solid_color.r, unpacked_src_blk.m_solid_color.g, unpacked_src_blk.m_solid_color.b);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
basist::encode_bc4(pBC4_block, &block_pixels[0][0].a, sizeof(color32));
if ((!high_quality) && (unpacked_src_blk.m_bc1_hint0))
transcode_uastc_to_bc1_hint0(unpacked_src_blk, pBC1_block);
else
{
if (unpacked_src_blk.m_bc1_hint1)
transcode_uastc_to_bc1_hint1(unpacked_src_blk, block_pixels, pBC1_block, high_quality);
else
encode_bc1(pBC1_block, &block_pixels[0][0].r, high_quality ? cEncodeBC1HighQuality : 0);
}
return true;
}
bool transcode_uastc_to_bc4(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0)
{
BASISU_NOTE_UNUSED(high_quality);
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
void* pBC4_block = pDst;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block), unpacked_src_blk.m_solid_color.c[chan0]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
basist::encode_bc4(pBC4_block, &block_pixels[0][0].c[chan0], sizeof(color32));
return true;
}
bool transcode_uastc_to_bc5(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0, uint32_t chan1)
{
BASISU_NOTE_UNUSED(high_quality);
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
void* pBC4_block0 = pDst;
void* pBC4_block1 = (uint8_t*)pDst + 8;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block0), unpacked_src_blk.m_solid_color.c[chan0]);
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block1), unpacked_src_blk.m_solid_color.c[chan1]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
basist::encode_bc4(pBC4_block0, &block_pixels[0][0].c[chan0], sizeof(color32));
basist::encode_bc4(pBC4_block1, &block_pixels[0][0].c[chan1], sizeof(color32));
return true;
}
static const uint8_t s_etc2_eac_bit_ofs[16] = { 45, 33, 21, 9, 42, 30, 18, 6, 39, 27, 15, 3, 36, 24, 12, 0 };
static void pack_eac_solid_block(eac_block& blk, uint32_t a)
{
blk.m_base = static_cast<uint8_t>(a);
blk.m_table = 13;
blk.m_multiplier = 0;
memcpy(blk.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
// Only checks 4 tables.
static void pack_eac(eac_block& blk, const uint8_t* pPixels, uint32_t stride)
{
uint32_t min_alpha = 255, max_alpha = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t a = pPixels[i * stride];
if (a < min_alpha) min_alpha = a;
if (a > max_alpha) max_alpha = a;
}
if (min_alpha == max_alpha)
{
pack_eac_solid_block(blk, min_alpha);
return;
}
const uint32_t alpha_range = max_alpha - min_alpha;
const uint32_t SINGLE_TABLE_THRESH = 5;
if (alpha_range <= SINGLE_TABLE_THRESH)
{
// If alpha_range <= 5 table 13 is lossless
int base = clamp255((int)max_alpha - 2);
blk.m_base = base;
blk.m_multiplier = 1;
blk.m_table = 13;
base -= 3;
uint64_t packed_sels = 0;
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
static const uint8_t s_sels[6] = { 2, 1, 0, 4, 5, 6 };
int sel = a - base;
assert(sel >= 0 && sel <= 5);
packed_sels |= (static_cast<uint64_t>(s_sels[sel]) << s_etc2_eac_bit_ofs[i]);
}
blk.set_selector_bits(packed_sels);
return;
}
const uint32_t T0 = 2, T1 = 8, T2 = 11, T3 = 13;
static const uint8_t s_tables[4] = { T0, T1, T2, T3 };
int base[4], mul[4];
uint32_t mul_or = 0;
for (uint32_t i = 0; i < 4; i++)
{
const uint32_t table = s_tables[i];
const float range = (float)(g_eac_modifier_table[table][ETC2_EAC_MAX_VALUE_SELECTOR] - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]);
base[i] = clamp255((int)roundf(basisu::lerp((float)min_alpha, (float)max_alpha, (float)(0 - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]) / range)));
mul[i] = clampi((int)roundf(alpha_range / range), 1, 15);
mul_or |= mul[i];
}
uint32_t total_err[4] = { 0, 0, 0, 0 };
uint8_t sels[4][16];
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
uint32_t l0 = UINT32_MAX, l1 = UINT32_MAX, l2 = UINT32_MAX, l3 = UINT32_MAX;
if ((a < 7) || (a > (255 - 7)))
{
for (uint32_t s = 0; s < 8; s++)
{
const int v0 = clamp255(mul[0] * g_eac_modifier_table[T0][s] + base[0]);
const int v1 = clamp255(mul[1] * g_eac_modifier_table[T1][s] + base[1]);
const int v2 = clamp255(mul[2] * g_eac_modifier_table[T2][s] + base[2]);
const int v3 = clamp255(mul[3] * g_eac_modifier_table[T3][s] + base[3]);
l0 = basisu::minimum(l0, (basisu::iabs(v0 - a) << 3) | s);
l1 = basisu::minimum(l1, (basisu::iabs(v1 - a) << 3) | s);
l2 = basisu::minimum(l2, (basisu::iabs(v2 - a) << 3) | s);
l3 = basisu::minimum(l3, (basisu::iabs(v3 - a) << 3) | s);
}
}
else if (mul_or == 1)
{
const int a0 = base[0] - a, a1 = base[1] - a, a2 = base[2] - a, a3 = base[3] - a;
for (uint32_t s = 0; s < 8; s++)
{
const int v0 = g_eac_modifier_table[T0][s] + a0;
const int v1 = g_eac_modifier_table[T1][s] + a1;
const int v2 = g_eac_modifier_table[T2][s] + a2;
const int v3 = g_eac_modifier_table[T3][s] + a3;
l0 = basisu::minimum(l0, (basisu::iabs(v0) << 3) | s);
l1 = basisu::minimum(l1, (basisu::iabs(v1) << 3) | s);
l2 = basisu::minimum(l2, (basisu::iabs(v2) << 3) | s);
l3 = basisu::minimum(l3, (basisu::iabs(v3) << 3) | s);
}
}
else
{
const int a0 = base[0] - a, a1 = base[1] - a, a2 = base[2] - a, a3 = base[3] - a;
for (uint32_t s = 0; s < 8; s++)
{
const int v0 = mul[0] * g_eac_modifier_table[T0][s] + a0;
const int v1 = mul[1] * g_eac_modifier_table[T1][s] + a1;
const int v2 = mul[2] * g_eac_modifier_table[T2][s] + a2;
const int v3 = mul[3] * g_eac_modifier_table[T3][s] + a3;
l0 = basisu::minimum(l0, (basisu::iabs(v0) << 3) | s);
l1 = basisu::minimum(l1, (basisu::iabs(v1) << 3) | s);
l2 = basisu::minimum(l2, (basisu::iabs(v2) << 3) | s);
l3 = basisu::minimum(l3, (basisu::iabs(v3) << 3) | s);
}
}
sels[0][i] = l0 & 7;
sels[1][i] = l1 & 7;
sels[2][i] = l2 & 7;
sels[3][i] = l3 & 7;
total_err[0] += basisu::square<uint32_t>(l0 >> 3);
total_err[1] += basisu::square<uint32_t>(l1 >> 3);
total_err[2] += basisu::square<uint32_t>(l2 >> 3);
total_err[3] += basisu::square<uint32_t>(l3 >> 3);
}
uint32_t min_err = total_err[0], min_index = 0;
for (uint32_t i = 1; i < 4; i++)
{
if (total_err[i] < min_err)
{
min_err = total_err[i];
min_index = i;
}
}
blk.m_base = base[min_index];
blk.m_multiplier = mul[min_index];
blk.m_table = s_tables[min_index];
uint64_t packed_sels = 0;
const uint8_t* pSels = &sels[min_index][0];
for (uint32_t i = 0; i < 16; i++)
packed_sels |= (static_cast<uint64_t>(pSels[i]) << s_etc2_eac_bit_ofs[i]);
blk.set_selector_bits(packed_sels);
}
// Checks all 16 tables. Around ~2 dB better vs. pack_eac(), ~1.2 dB less than near-optimal.
static void pack_eac_high_quality(eac_block& blk, const uint8_t* pPixels, uint32_t stride)
{
uint32_t min_alpha = 255, max_alpha = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t a = pPixels[i * stride];
if (a < min_alpha) min_alpha = a;
if (a > max_alpha) max_alpha = a;
}
if (min_alpha == max_alpha)
{
pack_eac_solid_block(blk, min_alpha);
return;
}
const uint32_t alpha_range = max_alpha - min_alpha;
const uint32_t SINGLE_TABLE_THRESH = 5;
if (alpha_range <= SINGLE_TABLE_THRESH)
{
// If alpha_range <= 5 table 13 is lossless
int base = clamp255((int)max_alpha - 2);
blk.m_base = base;
blk.m_multiplier = 1;
blk.m_table = 13;
base -= 3;
uint64_t packed_sels = 0;
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
static const uint8_t s_sels[6] = { 2, 1, 0, 4, 5, 6 };
int sel = a - base;
assert(sel >= 0 && sel <= 5);
packed_sels |= (static_cast<uint64_t>(s_sels[sel]) << s_etc2_eac_bit_ofs[i]);
}
blk.set_selector_bits(packed_sels);
return;
}
int base[16], mul[16];
for (uint32_t table = 0; table < 16; table++)
{
const float range = (float)(g_eac_modifier_table[table][ETC2_EAC_MAX_VALUE_SELECTOR] - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]);
base[table] = clamp255((int)roundf(basisu::lerp((float)min_alpha, (float)max_alpha, (float)(0 - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]) / range)));
mul[table] = clampi((int)roundf(alpha_range / range), 1, 15);
}
uint32_t total_err[16];
memset(total_err, 0, sizeof(total_err));
uint8_t sels[16][16];
for (uint32_t table = 0; table < 16; table++)
{
const int8_t* pTable = &g_eac_modifier_table[table][0];
const int m = mul[table], b = base[table];
uint32_t prev_l = 0, prev_a = UINT32_MAX;
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
if ((uint32_t)a == prev_a)
{
sels[table][i] = prev_l & 7;
total_err[table] += basisu::square<uint32_t>(prev_l >> 3);
}
else
{
uint32_t l = basisu::iabs(clamp255(m * pTable[0] + b) - a) << 3;
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[1] + b) - a) << 3) | 1);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[2] + b) - a) << 3) | 2);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[3] + b) - a) << 3) | 3);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[4] + b) - a) << 3) | 4);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[5] + b) - a) << 3) | 5);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[6] + b) - a) << 3) | 6);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[7] + b) - a) << 3) | 7);
sels[table][i] = l & 7;
total_err[table] += basisu::square<uint32_t>(l >> 3);
prev_l = l;
prev_a = a;
}
}
}
uint32_t min_err = total_err[0], min_index = 0;
for (uint32_t i = 1; i < 16; i++)
{
if (total_err[i] < min_err)
{
min_err = total_err[i];
min_index = i;
}
}
blk.m_base = base[min_index];
blk.m_multiplier = mul[min_index];
blk.m_table = min_index;
uint64_t packed_sels = 0;
const uint8_t* pSels = &sels[min_index][0];
for (uint32_t i = 0; i < 16; i++)
packed_sels |= (static_cast<uint64_t>(pSels[i]) << s_etc2_eac_bit_ofs[i]);
blk.set_selector_bits(packed_sels);
}
bool transcode_uastc_to_etc2_eac_r11(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
pack_eac_solid_block(*static_cast<eac_block*>(pDst), unpacked_src_blk.m_solid_color.c[chan0]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
if (chan0 == 3)
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, pDst);
else
(high_quality ? pack_eac_high_quality : pack_eac)(*static_cast<eac_block*>(pDst), &block_pixels[0][0].c[chan0], sizeof(color32));
return true;
}
bool transcode_uastc_to_etc2_eac_rg11(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0, uint32_t chan1)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
pack_eac_solid_block(static_cast<eac_block*>(pDst)[0], unpacked_src_blk.m_solid_color.c[chan0]);
pack_eac_solid_block(static_cast<eac_block*>(pDst)[1], unpacked_src_blk.m_solid_color.c[chan1]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
if (chan0 == 3)
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, &static_cast<eac_block*>(pDst)[0]);
else
(high_quality ? pack_eac_high_quality : pack_eac)(static_cast<eac_block*>(pDst)[0], &block_pixels[0][0].c[chan0], sizeof(color32));
if (chan1 == 3)
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, &static_cast<eac_block*>(pDst)[1]);
else
(high_quality ? pack_eac_high_quality : pack_eac)(static_cast<eac_block*>(pDst)[1], &block_pixels[0][0].c[chan1], sizeof(color32));
return true;
}
// PVRTC1
static void fixup_pvrtc1_4_modulation_rgb(
const uastc_block* pSrc_blocks,
const uint32_t* pPVRTC_endpoints,
void* pDst_blocks,
uint32_t num_blocks_x, uint32_t num_blocks_y, bool from_alpha)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31;
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31;
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const uastc_block& src_block = pSrc_blocks[block_index];
color32 block_pixels[4][4];
unpack_uastc(src_block, &block_pixels[0][0], false);
if (from_alpha)
{
// Just set RGB to alpha to avoid adding complexity below.
for (uint32_t i = 0; i < 16; i++)
{
const uint8_t a = ((color32*)block_pixels)[i].a;
((color32*)block_pixels)[i].set(a, a, a, 255);
}
}
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31; \
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31; \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = (block_pixels[ly][lx].r + block_pixels[ly][lx].g + block_pixels[ly][lx].b) * 16; \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
static void fixup_pvrtc1_4_modulation_rgba(
const uastc_block* pSrc_blocks,
const uint32_t* pPVRTC_endpoints,
void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = get_endpoint_l8(e, 0);
e1[ex][ey] = get_endpoint_l8(e, 1);
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const uastc_block& src_block = pSrc_blocks[block_index];
color32 block_pixels[4][4];
unpack_uastc(src_block, &block_pixels[0][0], false);
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = get_endpoint_l8(e, 0); \
e1[ex][ey] = get_endpoint_l8(e, 1); \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = 16 * (block_pixels[ly][lx].r + block_pixels[ly][lx].g + block_pixels[ly][lx].b + block_pixels[ly][lx].a); \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
bool transcode_uastc_to_pvrtc1_4_rgb(const uastc_block* pSrc_blocks, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, bool high_quality, bool from_alpha)
{
BASISU_NOTE_UNUSED(high_quality);
if ((!num_blocks_x) || (!num_blocks_y))
return false;
const uint32_t width = num_blocks_x * 4;
const uint32_t height = num_blocks_y * 4;
if (!basisu::is_pow2(width) || !basisu::is_pow2(height))
return false;
basisu::vector<uint32_t> temp_endpoints(num_blocks_x * num_blocks_y);
for (uint32_t y = 0; y < num_blocks_y; y++)
{
for (uint32_t x = 0; x < num_blocks_x; x++)
{
color32 block_pixels[16];
if (!unpack_uastc(pSrc_blocks[x + y * num_blocks_x], block_pixels, false))
return false;
// Get block's RGB bounding box
color32 low_color(255, 255, 255, 255), high_color(0, 0, 0, 0);
if (from_alpha)
{
uint32_t low_a = 255, high_a = 0;
for (uint32_t i = 0; i < 16; i++)
{
low_a = basisu::minimum<uint32_t>(low_a, block_pixels[i].a);
high_a = basisu::maximum<uint32_t>(high_a, block_pixels[i].a);
}
low_color.set(low_a, low_a, low_a, 255);
high_color.set(high_a, high_a, high_a, 255);
}
else
{
for (uint32_t i = 0; i < 16; i++)
{
low_color = color32::comp_min(low_color, block_pixels[i]);
high_color = color32::comp_max(high_color, block_pixels[i]);
}
}
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_opaque_endpoint_floor(0, low_color);
temp.set_opaque_endpoint_ceil(1, high_color);
temp_endpoints[x + y * num_blocks_x] = temp.m_endpoints;
}
}
fixup_pvrtc1_4_modulation_rgb(pSrc_blocks, &temp_endpoints[0], pDst_blocks, num_blocks_x, num_blocks_y, from_alpha);
return true;
}
bool transcode_uastc_to_pvrtc1_4_rgba(const uastc_block* pSrc_blocks, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, bool high_quality)
{
BASISU_NOTE_UNUSED(high_quality);
if ((!num_blocks_x) || (!num_blocks_y))
return false;
const uint32_t width = num_blocks_x * 4;
const uint32_t height = num_blocks_y * 4;
if (!basisu::is_pow2(width) || !basisu::is_pow2(height))
return false;
basisu::vector<uint32_t> temp_endpoints(num_blocks_x * num_blocks_y);
for (uint32_t y = 0; y < num_blocks_y; y++)
{
for (uint32_t x = 0; x < num_blocks_x; x++)
{
color32 block_pixels[16];
if (!unpack_uastc(pSrc_blocks[x + y * num_blocks_x], block_pixels, false))
return false;
// Get block's RGBA bounding box
color32 low_color(255, 255, 255, 255), high_color(0, 0, 0, 0);
for (uint32_t i = 0; i < 16; i++)
{
low_color = color32::comp_min(low_color, block_pixels[i]);
high_color = color32::comp_max(high_color, block_pixels[i]);
}
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_endpoint_floor(0, low_color);
temp.set_endpoint_ceil(1, high_color);
temp_endpoints[x + y * num_blocks_x] = temp.m_endpoints;
}
}
fixup_pvrtc1_4_modulation_rgba(pSrc_blocks, &temp_endpoints[0], pDst_blocks, num_blocks_x, num_blocks_y);
return true;
}
void uastc_init()
{
for (uint32_t range = 0; range < BC7ENC_TOTAL_ASTC_RANGES; range++)
{
if (!astc_is_valid_endpoint_range(range))
continue;
const uint32_t levels = astc_get_levels(range);
uint32_t vals[256];
for (uint32_t i = 0; i < levels; i++)
vals[i] = (unquant_astc_endpoint_val(i, range) << 8) | i;
std::sort(vals, vals + levels);
for (uint32_t i = 0; i < levels; i++)
{
const uint32_t order = vals[i] & 0xFF;
const uint32_t unq = vals[i] >> 8;
g_astc_unquant[range][order].m_unquant = (uint8_t)unq;
g_astc_unquant[range][order].m_index = (uint8_t)i;
} // i
}
// TODO: Precompute?
// BC7 777.1
for (int c = 0; c < 256; c++)
{
for (uint32_t lp = 0; lp < 2; lp++)
{
endpoint_err best;
best.m_error = (uint16_t)UINT16_MAX;
for (uint32_t l = 0; l < 128; l++)
{
const uint32_t low = (l << 1) | lp;
for (uint32_t h = 0; h < 128; h++)
{
const uint32_t high = (h << 1) | lp;
const int k = (low * (64 - g_bc7_weights4[BC7ENC_MODE_6_OPTIMAL_INDEX]) + high * g_bc7_weights4[BC7ENC_MODE_6_OPTIMAL_INDEX] + 32) >> 6;
const int err = (k - c) * (k - c);
if (err < best.m_error)
{
best.m_error = (uint16_t)err;
best.m_lo = (uint8_t)l;
best.m_hi = (uint8_t)h;
}
} // h
} // l
g_bc7_mode_6_optimal_endpoints[c][lp] = best;
} // lp
} // c
// BC7 777
for (int c = 0; c < 256; c++)
{
endpoint_err best;
best.m_error = (uint16_t)UINT16_MAX;
for (uint32_t l = 0; l < 128; l++)
{
const uint32_t low = (l << 1) | (l >> 6);
for (uint32_t h = 0; h < 128; h++)
{
const uint32_t high = (h << 1) | (h >> 6);
const int k = (low * (64 - g_bc7_weights2[BC7ENC_MODE_5_OPTIMAL_INDEX]) + high * g_bc7_weights2[BC7ENC_MODE_5_OPTIMAL_INDEX] + 32) >> 6;
const int err = (k - c) * (k - c);
if (err < best.m_error)
{
best.m_error = (uint16_t)err;
best.m_lo = (uint8_t)l;
best.m_hi = (uint8_t)h;
}
} // h
} // l
g_bc7_mode_5_optimal_endpoints[c] = best;
} // c
}
#endif // #if BASISD_SUPPORT_UASTC
// ------------------------------------------------------------------------------------------------------
// KTX2
// ------------------------------------------------------------------------------------------------------
#if BASISD_SUPPORT_KTX2
const uint8_t g_ktx2_file_identifier[12] = { 0xAB, 0x4B, 0x54, 0x58, 0x20, 0x32, 0x30, 0xBB, 0x0D, 0x0A, 0x1A, 0x0A };
ktx2_transcoder::ktx2_transcoder() :
m_etc1s_transcoder()
{
clear();
}
void ktx2_transcoder::clear()
{
m_pData = nullptr;
m_data_size = 0;
memset(&m_header, 0, sizeof(m_header));
m_levels.clear();
m_dfd.clear();
m_key_values.clear();
memset(&m_etc1s_header, 0, sizeof(m_etc1s_header));
m_etc1s_image_descs.clear();
m_format = basist::basis_tex_format::cETC1S;
m_dfd_color_model = 0;
m_dfd_color_prims = KTX2_DF_PRIMARIES_UNSPECIFIED;
m_dfd_transfer_func = 0;
m_dfd_flags = 0;
m_dfd_samples = 0;
m_dfd_chan0 = KTX2_DF_CHANNEL_UASTC_RGB;
m_dfd_chan1 = KTX2_DF_CHANNEL_UASTC_RGB;
m_etc1s_transcoder.clear();
m_def_transcoder_state.clear();
m_has_alpha = false;
m_is_video = false;
}
bool ktx2_transcoder::init(const void* pData, uint32_t data_size)
{
clear();
if (!pData)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: pData is nullptr\n");
assert(0);
return false;
}
if (data_size <= sizeof(ktx2_header))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: File is impossibly too small to be a valid KTX2 file\n");
return false;
}
if (memcmp(pData, g_ktx2_file_identifier, sizeof(g_ktx2_file_identifier)) != 0)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: KTX2 file identifier is not present\n");
return false;
}
m_pData = static_cast<const uint8_t *>(pData);
m_data_size = data_size;
memcpy(&m_header, pData, sizeof(m_header));
// We only support UASTC and ETC1S
if (m_header.m_vk_format != KTX2_VK_FORMAT_UNDEFINED)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: KTX2 file must be in ETC1S or UASTC format\n");
return false;
}
// 3.3: "When format is VK_FORMAT_UNDEFINED, typeSize must equal 1."
if (m_header.m_type_size != 1)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid type_size\n");
return false;
}
// We only currently support 2D textures (plain, cubemapped, or texture array), which is by far the most common use case.
// The BasisU library does not support 1D or 3D textures at all.
if ((m_header.m_pixel_width < 1) || (m_header.m_pixel_height < 1) || (m_header.m_pixel_depth > 0))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Only 2D or cubemap textures are supported\n");
return false;
}
// Face count must be 1 or 6
if ((m_header.m_face_count != 1) && (m_header.m_face_count != 6))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid face count, file is corrupted or invalid\n");
return false;
}
if (m_header.m_face_count > 1)
{
// 3.4: Make sure cubemaps are square.
if (m_header.m_pixel_width != m_header.m_pixel_height)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Cubemap is not square\n");
return false;
}
}
// 3.7 levelCount: "levelCount=0 is allowed, except for block-compressed formats"
if (m_header.m_level_count < 1)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid level count\n");
return false;
}
// Sanity check the level count.
if (m_header.m_level_count > KTX2_MAX_SUPPORTED_LEVEL_COUNT)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Too many levels or file is corrupted or invalid\n");
return false;
}
if (m_header.m_supercompression_scheme > KTX2_SS_ZSTANDARD)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid/unsupported supercompression or file is corrupted or invalid\n");
return false;
}
if (m_header.m_supercompression_scheme == KTX2_SS_BASISLZ)
{
if (m_header.m_sgd_byte_length <= sizeof(ktx2_etc1s_global_data_header))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Supercompression global data is too small\n");
return false;
}
if (m_header.m_sgd_byte_offset < sizeof(ktx2_header))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Supercompression global data offset is too low\n");
return false;
}
if (m_header.m_sgd_byte_offset + m_header.m_sgd_byte_length > m_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Supercompression global data offset and/or length is too high\n");
return false;
}
}
if (!m_levels.try_resize(m_header.m_level_count))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Out of memory\n");
return false;
}
const uint32_t level_index_size_in_bytes = basisu::maximum(1U, (uint32_t)m_header.m_level_count) * sizeof(ktx2_level_index);
if ((sizeof(ktx2_header) + level_index_size_in_bytes) > m_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: File is too small (can't read level index array)\n");
return false;
}
memcpy(&m_levels[0], m_pData + sizeof(ktx2_header), level_index_size_in_bytes);
// Sanity check the level offsets and byte sizes
for (uint32_t i = 0; i < m_levels.size(); i++)
{
if (m_levels[i].m_byte_offset < sizeof(ktx2_header))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid level offset (too low)\n");
return false;
}
if (!m_levels[i].m_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid level byte length\n");
}
if ((m_levels[i].m_byte_offset + m_levels[i].m_byte_length) > m_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid level offset and/or length\n");
return false;
}
const uint64_t MAX_SANE_LEVEL_UNCOMP_SIZE = 2048ULL * 1024ULL * 1024ULL;
if (m_levels[i].m_uncompressed_byte_length >= MAX_SANE_LEVEL_UNCOMP_SIZE)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid level offset (too large)\n");
return false;
}
if (m_header.m_supercompression_scheme == KTX2_SS_BASISLZ)
{
if (m_levels[i].m_uncompressed_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid uncompressed length (0)\n");
return false;
}
}
else if (m_header.m_supercompression_scheme >= KTX2_SS_ZSTANDARD)
{
if (!m_levels[i].m_uncompressed_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid uncompressed length (1)\n");
return false;
}
}
}
const uint32_t DFD_MINIMUM_SIZE = 44, DFD_MAXIMUM_SIZE = 60;
if ((m_header.m_dfd_byte_length != DFD_MINIMUM_SIZE) && (m_header.m_dfd_byte_length != DFD_MAXIMUM_SIZE))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Unsupported DFD size\n");
return false;
}
if (((m_header.m_dfd_byte_offset + m_header.m_dfd_byte_length) > m_data_size) || (m_header.m_dfd_byte_offset < sizeof(ktx2_header)))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid DFD offset and/or length\n");
return false;
}
const uint8_t* pDFD = m_pData + m_header.m_dfd_byte_offset;
if (!m_dfd.try_resize(m_header.m_dfd_byte_length))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Out of memory\n");
return false;
}
memcpy(m_dfd.data(), pDFD, m_header.m_dfd_byte_length);
// This is all hard coded for only ETC1S and UASTC.
uint32_t dfd_total_size = basisu::read_le_dword(pDFD);
// 3.10.3: Sanity check
if (dfd_total_size != m_header.m_dfd_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: DFD size validation failed (1)\n");
return false;
}
// 3.10.3: More sanity checking
if (m_header.m_kvd_byte_length)
{
if (dfd_total_size != m_header.m_kvd_byte_offset - m_header.m_dfd_byte_offset)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: DFD size validation failed (2)\n");
return false;
}
}
const uint32_t dfd_bits = basisu::read_le_dword(pDFD + 3 * sizeof(uint32_t));
const uint32_t sample_channel0 = basisu::read_le_dword(pDFD + 7 * sizeof(uint32_t));
m_dfd_color_model = dfd_bits & 255;
m_dfd_color_prims = (ktx2_df_color_primaries)((dfd_bits >> 8) & 255);
m_dfd_transfer_func = (dfd_bits >> 16) & 255;
m_dfd_flags = (dfd_bits >> 24) & 255;
// See 3.10.1.Restrictions
if ((m_dfd_transfer_func != KTX2_KHR_DF_TRANSFER_LINEAR) && (m_dfd_transfer_func != KTX2_KHR_DF_TRANSFER_SRGB))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid DFD transfer function\n");
return false;
}
if (m_dfd_color_model == KTX2_KDF_DF_MODEL_ETC1S)
{
m_format = basist::basis_tex_format::cETC1S;
// 3.10.2: "Whether the image has 1 or 2 slices can be determined from the DFDÂ’s sample count."
// If m_has_alpha is true it may be 2-channel RRRG or 4-channel RGBA, but we let the caller deal with that.
m_has_alpha = (m_header.m_dfd_byte_length == 60);
m_dfd_samples = m_has_alpha ? 2 : 1;
m_dfd_chan0 = (ktx2_df_channel_id)((sample_channel0 >> 24) & 15);
if (m_has_alpha)
{
const uint32_t sample_channel1 = basisu::read_le_dword(pDFD + 11 * sizeof(uint32_t));
m_dfd_chan1 = (ktx2_df_channel_id)((sample_channel1 >> 24) & 15);
}
}
else if (m_dfd_color_model == KTX2_KDF_DF_MODEL_UASTC)
{
m_format = basist::basis_tex_format::cUASTC4x4;
m_dfd_samples = 1;
m_dfd_chan0 = (ktx2_df_channel_id)((sample_channel0 >> 24) & 15);
// We're assuming "DATA" means RGBA so it has alpha.
m_has_alpha = (m_dfd_chan0 == KTX2_DF_CHANNEL_UASTC_RGBA) || (m_dfd_chan0 == KTX2_DF_CHANNEL_UASTC_RRRG);
}
else
{
// Unsupported DFD color model.
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Unsupported DFD color model\n");
return false;
}
if (!read_key_values())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: read_key_values() failed\n");
return false;
}
// Check for a KTXanimData key
for (uint32_t i = 0; i < m_key_values.size(); i++)
{
if (strcmp(reinterpret_cast<const char*>(m_key_values[i].m_key.data()), "KTXanimData") == 0)
{
m_is_video = true;
break;
}
}
return true;
}
uint32_t ktx2_transcoder::get_etc1s_image_descs_image_flags(uint32_t level_index, uint32_t layer_index, uint32_t face_index) const
{
const uint32_t etc1s_image_index =
(level_index * basisu::maximum<uint32_t>(m_header.m_layer_count, 1) * m_header.m_face_count) +
layer_index * m_header.m_face_count +
face_index;
if (etc1s_image_index >= get_etc1s_image_descs().size())
{
assert(0);
return 0;
}
return get_etc1s_image_descs()[etc1s_image_index].m_image_flags;
}
const basisu::uint8_vec* ktx2_transcoder::find_key(const std::string& key_name) const
{
for (uint32_t i = 0; i < m_key_values.size(); i++)
if (strcmp((const char *)m_key_values[i].m_key.data(), key_name.c_str()) == 0)
return &m_key_values[i].m_value;
return nullptr;
}
bool ktx2_transcoder::start_transcoding()
{
if (!m_pData)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::start_transcoding: Must call init() first\n");
return false;
}
if (m_header.m_supercompression_scheme == KTX2_SS_BASISLZ)
{
// Check if we've already decompressed the ETC1S global data. If so don't unpack it again.
if (!m_etc1s_transcoder.get_endpoints().empty())
return true;
if (!decompress_etc1s_global_data())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::start_transcoding: decompress_etc1s_global_data() failed\n");
return false;
}
if (!m_is_video)
{
// See if there are any P-frames. If so it must be a video, even if there wasn't a KTXanimData key.
// Video cannot be a cubemap, and it must be a texture array.
if ((m_header.m_face_count == 1) && (m_header.m_layer_count > 1))
{
for (uint32_t i = 0; i < m_etc1s_image_descs.size(); i++)
{
if (m_etc1s_image_descs[i].m_image_flags & KTX2_IMAGE_IS_P_FRAME)
{
m_is_video = true;
break;
}
}
}
}
}
else if (m_header.m_supercompression_scheme == KTX2_SS_ZSTANDARD)
{
#if !BASISD_SUPPORT_KTX2_ZSTD
BASISU_DEVEL_ERROR("ktx2_transcoder::start_transcoding: File uses zstd supercompression, but zstd support was not enabled at compilation time (BASISD_SUPPORT_KTX2_ZSTD == 0)\n");
return false;
#endif
}
return true;
}
bool ktx2_transcoder::get_image_level_info(ktx2_image_level_info& level_info, uint32_t level_index, uint32_t layer_index, uint32_t face_index) const
{
if (level_index >= m_levels.size())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::get_image_level_info: level_index >= m_levels.size()\n");
return false;
}
if (m_header.m_face_count > 1)
{
if (face_index >= 6)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::get_image_level_info: face_index >= 6\n");
return false;
}
}
else if (face_index != 0)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::get_image_level_info: face_index != 0\n");
return false;
}
if (layer_index >= basisu::maximum<uint32_t>(m_header.m_layer_count, 1))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::get_image_level_info: layer_index >= maximum<uint32_t>(m_header.m_layer_count, 1)\n");
return false;
}
const uint32_t level_width = basisu::maximum<uint32_t>(m_header.m_pixel_width >> level_index, 1);
const uint32_t level_height = basisu::maximum<uint32_t>(m_header.m_pixel_height >> level_index, 1);
const uint32_t num_blocks_x = (level_width + 3) >> 2;
const uint32_t num_blocks_y = (level_height + 3) >> 2;
level_info.m_face_index = face_index;
level_info.m_layer_index = layer_index;
level_info.m_level_index = level_index;
level_info.m_orig_width = level_width;
level_info.m_orig_height = level_height;
level_info.m_width = num_blocks_x * 4;
level_info.m_height = num_blocks_y * 4;
level_info.m_num_blocks_x = num_blocks_x;
level_info.m_num_blocks_y = num_blocks_y;
level_info.m_total_blocks = num_blocks_x * num_blocks_y;
level_info.m_alpha_flag = m_has_alpha;
level_info.m_iframe_flag = false;
if (m_etc1s_image_descs.size())
{
const uint32_t etc1s_image_index =
(level_index * basisu::maximum<uint32_t>(m_header.m_layer_count, 1) * m_header.m_face_count) +
layer_index * m_header.m_face_count +
face_index;
level_info.m_iframe_flag = (m_etc1s_image_descs[etc1s_image_index].m_image_flags & KTX2_IMAGE_IS_P_FRAME) == 0;
}
return true;
}
bool ktx2_transcoder::transcode_image_level(
uint32_t level_index, uint32_t layer_index, uint32_t face_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
basist::transcoder_texture_format fmt,
uint32_t decode_flags, uint32_t output_row_pitch_in_blocks_or_pixels, uint32_t output_rows_in_pixels, int channel0, int channel1,
ktx2_transcoder_state* pState)
{
if (!m_pData)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: Must call init() first\n");
return false;
}
if (!pState)
pState = &m_def_transcoder_state;
if (level_index >= m_levels.size())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: level_index >= m_levels.size()\n");
return false;
}
if (m_header.m_face_count > 1)
{
if (face_index >= 6)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: face_index >= 6\n");
return false;
}
}
else if (face_index != 0)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: face_index != 0\n");
return false;
}
if (layer_index >= basisu::maximum<uint32_t>(m_header.m_layer_count, 1))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: layer_index >= maximum<uint32_t>(m_header.m_layer_count, 1)\n");
return false;
}
const uint8_t* pComp_level_data = m_pData + m_levels[level_index].m_byte_offset;
uint64_t comp_level_data_size = m_levels[level_index].m_byte_length;
const uint8_t* pUncomp_level_data = pComp_level_data;
uint64_t uncomp_level_data_size = comp_level_data_size;
if (uncomp_level_data_size > UINT32_MAX)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: uncomp_level_data_size > UINT32_MAX\n");
return false;
}
if (m_header.m_supercompression_scheme == KTX2_SS_ZSTANDARD)
{
// Check if we've already decompressed this level's supercompressed data.
if ((int)level_index != pState->m_uncomp_data_level_index)
{
// Uncompress the entire level's supercompressed data.
if (!decompress_level_data(level_index, pState->m_level_uncomp_data))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: decompress_level_data() failed\n");
return false;
}
pState->m_uncomp_data_level_index = level_index;
}
pUncomp_level_data = pState->m_level_uncomp_data.data();
uncomp_level_data_size = pState->m_level_uncomp_data.size();
}
const uint32_t level_width = basisu::maximum<uint32_t>(m_header.m_pixel_width >> level_index, 1);
const uint32_t level_height = basisu::maximum<uint32_t>(m_header.m_pixel_height >> level_index, 1);
const uint32_t num_blocks_x = (level_width + 3) >> 2;
const uint32_t num_blocks_y = (level_height + 3) >> 2;
if (m_format == basist::basis_tex_format::cETC1S)
{
// Ensure start_transcoding() was called.
if (m_etc1s_transcoder.get_endpoints().empty())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: must call start_transcoding() first\n");
return false;
}
const uint32_t etc1s_image_index =
(level_index * basisu::maximum<uint32_t>(m_header.m_layer_count, 1) * m_header.m_face_count) +
layer_index * m_header.m_face_count +
face_index;
// Sanity check
if (etc1s_image_index >= m_etc1s_image_descs.size())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: etc1s_image_index >= m_etc1s_image_descs.size()\n");
assert(0);
return false;
}
if (static_cast<uint32_t>(m_data_size) != m_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: File is too large\n");
return false;
}
const ktx2_etc1s_image_desc& image_desc = m_etc1s_image_descs[etc1s_image_index];
if (!m_etc1s_transcoder.transcode_image(fmt,
pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, m_pData, static_cast<uint32_t>(m_data_size),
num_blocks_x, num_blocks_y, level_width, level_height,
level_index,
m_levels[level_index].m_byte_offset + image_desc.m_rgb_slice_byte_offset, image_desc.m_rgb_slice_byte_length,
image_desc.m_alpha_slice_byte_length ? (m_levels[level_index].m_byte_offset + image_desc.m_alpha_slice_byte_offset) : 0, image_desc.m_alpha_slice_byte_length,
decode_flags, m_has_alpha,
m_is_video, output_row_pitch_in_blocks_or_pixels, &pState->m_transcoder_state, output_rows_in_pixels))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: ETC1S transcode_image() failed, this is either a bug or the file is corrupted/invalid\n");
return false;
}
}
else if (m_format == basist::basis_tex_format::cUASTC4x4)
{
// Compute length and offset to uncompressed 2D UASTC texture data, given the face/layer indices.
assert(uncomp_level_data_size == m_levels[level_index].m_uncompressed_byte_length);
const uint32_t total_2D_image_size = num_blocks_x * num_blocks_y * KTX2_UASTC_BLOCK_SIZE;
const uint32_t uncomp_ofs = (layer_index * m_header.m_face_count + face_index) * total_2D_image_size;
// Sanity checks
if (uncomp_ofs >= uncomp_level_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: uncomp_ofs >= total_2D_image_size\n");
return false;
}
if ((uncomp_level_data_size - uncomp_ofs) < total_2D_image_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: (uncomp_level_data_size - uncomp_ofs) < total_2D_image_size\n");
return false;
}
if (!m_uastc_transcoder.transcode_image(fmt,
pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels,
(const uint8_t*)pUncomp_level_data + uncomp_ofs, (uint32_t)total_2D_image_size, num_blocks_x, num_blocks_y, level_width, level_height, level_index,
0, (uint32_t)total_2D_image_size,
decode_flags, m_has_alpha, m_is_video, output_row_pitch_in_blocks_or_pixels, nullptr, output_rows_in_pixels, channel0, channel1))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: UASTC transcode_image() failed, this is either a bug or the file is corrupted/invalid\n");
return false;
}
}
else
{
// Shouldn't get here.
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: Internal error\n");
assert(0);
return false;
}
return true;
}
bool ktx2_transcoder::decompress_level_data(uint32_t level_index, basisu::uint8_vec& uncomp_data)
{
const uint8_t* pComp_data = m_levels[level_index].m_byte_offset + m_pData;
const uint64_t comp_size = m_levels[level_index].m_byte_length;
const uint64_t uncomp_size = m_levels[level_index].m_uncompressed_byte_length;
if (((size_t)comp_size) != comp_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: Compressed data too large\n");
return false;
}
if (((size_t)uncomp_size) != uncomp_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: Uncompressed data too large\n");
return false;
}
if (!uncomp_data.try_resize((size_t)uncomp_size))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: Out of memory\n");
return false;
}
if (m_header.m_supercompression_scheme == KTX2_SS_ZSTANDARD)
{
#if BASISD_SUPPORT_KTX2_ZSTD
size_t actualUncompSize = ZSTD_decompress(uncomp_data.data(), (size_t)uncomp_size, pComp_data, (size_t)comp_size);
if (ZSTD_isError(actualUncompSize))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: Zstd decompression failed, file is invalid or corrupted\n");
return false;
}
if (actualUncompSize != uncomp_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: Zstd decompression returned too few bytes, file is invalid or corrupted\n");
return false;
}
#else
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: File uses Zstd supercompression, but Zstd support was not enabled at compile time (BASISD_SUPPORT_KTX2_ZSTD is 0)\n");
return false;
#endif
}
return true;
}
bool ktx2_transcoder::decompress_etc1s_global_data()
{
// Note: we don't actually support 3D textures in here yet
//uint32_t layer_pixel_depth = basisu::maximum<uint32_t>(m_header.m_pixel_depth, 1);
//for (uint32_t i = 1; i < m_header.m_level_count; i++)
// layer_pixel_depth += basisu::maximum<uint32_t>(m_header.m_pixel_depth >> i, 1);
const uint32_t image_count = basisu::maximum<uint32_t>(m_header.m_layer_count, 1) * m_header.m_face_count * m_header.m_level_count;
assert(image_count);
const uint8_t* pSrc = m_pData + m_header.m_sgd_byte_offset;
memcpy(&m_etc1s_header, pSrc, sizeof(ktx2_etc1s_global_data_header));
pSrc += sizeof(ktx2_etc1s_global_data_header);
if ((!m_etc1s_header.m_endpoints_byte_length) || (!m_etc1s_header.m_selectors_byte_length) || (!m_etc1s_header.m_tables_byte_length))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: Invalid ETC1S global data\n");
return false;
}
if ((!m_etc1s_header.m_endpoint_count) || (!m_etc1s_header.m_selector_count))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: endpoint and/or selector count is 0, file is invalid or corrupted\n");
return false;
}
// Sanity check the ETC1S header.
if ((sizeof(ktx2_etc1s_global_data_header) +
sizeof(ktx2_etc1s_image_desc) * image_count +
m_etc1s_header.m_endpoints_byte_length +
m_etc1s_header.m_selectors_byte_length +
m_etc1s_header.m_tables_byte_length +
m_etc1s_header.m_extended_byte_length) > m_header.m_sgd_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: SGD byte length is too small, file is invalid or corrupted\n");
return false;
}
if (!m_etc1s_image_descs.try_resize(image_count))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: Out of memory\n");
return false;
}
memcpy(m_etc1s_image_descs.data(), pSrc, sizeof(ktx2_etc1s_image_desc) * image_count);
pSrc += sizeof(ktx2_etc1s_image_desc) * image_count;
// Sanity check the ETC1S image descs
for (uint32_t i = 0; i < image_count; i++)
{
// m_etc1s_transcoder.transcode_image() will validate the slice offsets/lengths before transcoding.
if (!m_etc1s_image_descs[i].m_rgb_slice_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: ETC1S image descs sanity check failed (1)\n");
return false;
}
if (m_has_alpha)
{
if (!m_etc1s_image_descs[i].m_alpha_slice_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: ETC1S image descs sanity check failed (2)\n");
return false;
}
}
}
const uint8_t* pEndpoint_data = pSrc;
const uint8_t* pSelector_data = pSrc + m_etc1s_header.m_endpoints_byte_length;
const uint8_t* pTables_data = pSrc + m_etc1s_header.m_endpoints_byte_length + m_etc1s_header.m_selectors_byte_length;
if (!m_etc1s_transcoder.decode_tables(pTables_data, m_etc1s_header.m_tables_byte_length))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: decode_tables() failed, file is invalid or corrupted\n");
return false;
}
if (!m_etc1s_transcoder.decode_palettes(
m_etc1s_header.m_endpoint_count, pEndpoint_data, m_etc1s_header.m_endpoints_byte_length,
m_etc1s_header.m_selector_count, pSelector_data, m_etc1s_header.m_selectors_byte_length))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: decode_palettes() failed, file is likely corrupted\n");
return false;
}
return true;
}
bool ktx2_transcoder::read_key_values()
{
if (!m_header.m_kvd_byte_length)
{
if (m_header.m_kvd_byte_offset)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Invalid KVD byte offset (it should be zero when the length is zero)\n");
return false;
}
return true;
}
if (m_header.m_kvd_byte_offset < sizeof(ktx2_header))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Invalid KVD byte offset\n");
return false;
}
if ((m_header.m_kvd_byte_offset + m_header.m_kvd_byte_length) > m_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Invalid KVD byte offset and/or length\n");
return false;
}
const uint8_t* pSrc = m_pData + m_header.m_kvd_byte_offset;
uint32_t src_left = m_header.m_kvd_byte_length;
if (!m_key_values.try_reserve(8))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Out of memory\n");
return false;
}
while (src_left > sizeof(uint32_t))
{
uint32_t l = basisu::read_le_dword(pSrc);
pSrc += sizeof(uint32_t);
src_left -= sizeof(uint32_t);
if (l < 2)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Failed reading key value fields (0)\n");
return false;
}
if (src_left < l)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Failed reading key value fields (1)\n");
return false;
}
if (!m_key_values.try_resize(m_key_values.size() + 1))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Out of memory\n");
return false;
}
basisu::uint8_vec& key_data = m_key_values.back().m_key;
basisu::uint8_vec& value_data = m_key_values.back().m_value;
do
{
if (!l)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Failed reading key value fields (2)\n");
return false;
}
if (!key_data.try_push_back(*pSrc++))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Out of memory\n");
return false;
}
src_left--;
l--;
} while (key_data.back());
if (!value_data.try_resize(l))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Out of memory\n");
return false;
}
if (l)
{
memcpy(value_data.data(), pSrc, l);
pSrc += l;
src_left -= l;
}
uint32_t ofs = (uint32_t)(pSrc - m_pData) & 3;
uint32_t alignment_bytes = (4 - ofs) & 3;
if (src_left < alignment_bytes)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Failed reading key value fields (3)\n");
return false;
}
pSrc += alignment_bytes;
src_left -= alignment_bytes;
}
return true;
}
#endif // BASISD_SUPPORT_KTX2
bool basisu_transcoder_supports_ktx2()
{
#if BASISD_SUPPORT_KTX2
return true;
#else
return false;
#endif
}
bool basisu_transcoder_supports_ktx2_zstd()
{
#if BASISD_SUPPORT_KTX2_ZSTD
return true;
#else
return false;
#endif
}
} // namespace basist
/**** ended inlining basisu_transcoder.cpp ****/
/**
* Collection of unused functions and const variables to work around \c
* -Wunused-function and \c -Wunused-const-variable warnings.
*
* \todo LTO does its thing so any unused are removed but is there a better way?
*/
void _basisu_translib_dummy() {
// These first ones are not used at all
BASISU_NOTE_UNUSED(&basisu::byteswap16);
BASISU_NOTE_UNUSED(&basisu::byteswap32);
BASISU_NOTE_UNUSED(basisu::BASISU_PATH_SEPERATOR_CHAR);
BASISU_NOTE_UNUSED(basisu::cHuffmanTotalSortedCodelengthCodes);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL0_DELTA_LO);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL0_DELTA_HI);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL1_DELTA_LO);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL1_DELTA_HI);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL2_DELTA_LO);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL2_DELTA_HI);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL2_PREV_HI);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL_MIN_DELTA_B_RUNLEN);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL_DELTA_5_RUNLEN_VLC_BITS);
BASISU_NOTE_UNUSED(basist::NO_ENDPOINT_PRED_INDEX);
BASISU_NOTE_UNUSED(basist::MAX_SELECTOR_HISTORY_BUF_SIZE);
#if BASISD_SUPPORT_ETC2_EAC_A8
// Unused but only when building with EAC
BASISU_NOTE_UNUSED(basist::g_eac_modifier_table);
#endif
#if BASISD_SUPPORT_PVRTC1 == 0
// Unused only when not building with PVRTC
BASISU_NOTE_UNUSED(basist::g_etc1_inten_tables16);
BASISU_NOTE_UNUSED(basist::g_etc1_inten_tables48);
BASISU_NOTE_UNUSED(basist::g_etc_5_to_8);
BASISU_NOTE_UNUSED(basist::g_etc1_x_selector_unpack);
#endif
}