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Rich Geldreich
2019-04-29 18:53:00 -07:00
parent 7a594c62f1
commit bd7d786a8a
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// basisu.h
// Copyright (C) 2017-2019 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.
#pragma once
#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.
#define _SECURE_SCL 0
#define _HAS_ITERATOR_DEBUGGING 0
#define _ITERATOR_DEBUG_LEVEL 0
#ifndef NOMINMAX
#define NOMINMAX
#endif
#endif
#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 <vector>
#include <assert.h>
#include <random>
#ifdef max
#undef max
#endif
#ifdef min
#undef min
#endif
#ifdef _WIN32
#define strcasecmp _stricmp
#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(x &); x& operator= (const x&);
#define BASISU_ASSUME(x) static_assert(x, #x);
#define BASISU_OFFSETOF(s, m) (uint32_t)(intptr_t)(&((s *)(0))->m)
#define BASISU_STRINGIZE(x) #x
#define BASISU_STRINGIZE2(x) BASISU_STRINGIZE(x)
namespace basisu
{
// Types/utilities
#ifdef _WIN32
const char BASISU_PATH_SEPERATOR_CHAR = '\\';
#else
const char BASISU_PATH_SEPERATOR_CHAR = '/';
#endif
typedef std::vector<uint8_t> uint8_vec;
typedef std::vector<int16_t> int16_vec;
typedef std::vector<uint16_t> uint16_vec;
typedef std::vector<uint32_t> uint_vec;
typedef std::vector<uint64_t> uint64_vec;
typedef std::vector<int> int_vec;
typedef std::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 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 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]; }
template<typename S> inline S square(S val) { return val * val; }
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); 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)
{
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)
{
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;
}
// Always little endian 2-4 byte unsigned int
template<uint32_t NumBytes>
struct packed_uint
{
uint8_t m_bytes[NumBytes];
inline packed_uint() { static_assert(NumBytes <= 4, "NumBytes <= 4"); }
inline packed_uint(uint32_t v) { *this = v; }
inline packed_uint(const packed_uint& other) { *this = other; }
inline packed_uint& operator= (uint32_t v) { for (uint32_t i = 0; i < NumBytes; i++) m_bytes[i] = static_cast<uint8_t>(v >> (i * 8)); 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]);
default: return (m_bytes[3] << 24U) | (m_bytes[2] << 16U) | (m_bytes[1] << 8U) | (m_bytes[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, cHuffmanFastLookupSize = 1 << cHuffmanFastLookupBits,
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 texture_format
{
cInvalidTextureFormat = -1,
cETC1,
cETC1S,
cETC2_RGB, // ETC2 color block
cETC2_RGBA, // ETC2 alpha block followed by ETC2 color block
cETC2_ALPHA, // ETC2 EAC alpha block
cBC1, // DXT1
cBC3, // DXT5 (DXT5A block followed by a DXT1 block)
cBC4, // DXT5A
cBC5, // 3DC/DXN (two DXT5A blocks)
cBC7,
cASTC4x4, // TODO: Add more ASTC variants
cPVRTC1_4_RGB,
cPVRTC1_4_RGBA,
};
inline uint32_t get_bytes_per_block(texture_format fmt)
{
switch (fmt)
{
case cETC1:
case cETC1S:
case cETC2_RGB:
case cETC2_ALPHA:
case cBC1:
case cBC4:
case cPVRTC1_4_RGB:
case cPVRTC1_4_RGBA:
return 8;
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);
return 4;
}
inline uint32_t get_block_height(texture_format fmt)
{
BASISU_NOTE_UNUSED(fmt);
return 4;
}
} // namespace basisu

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// basis_file_headers.h
// 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.
#pragma once
#include "basisu_transcoder_internal.h"
namespace basist
{
enum
{
cSliceDescFlagsIsAlphaData = 1,
};
#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
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;
basisu::packed_uint<2> m_orig_width;
basisu::packed_uint<2> m_orig_height;
basisu::packed_uint<2> m_num_blocks_x;
basisu::packed_uint<2> m_num_blocks_y;
basisu::packed_uint<4> m_file_ofs;
basisu::packed_uint<4> m_file_size;
basisu::packed_uint<2> m_slice_data_crc16;
};
enum
{
cBASISHeaderFlagETC1S = 1,
cBASISHeaderFlagYFlipped = 2,
cBASISHeaderFlagHasAlphaSlices = 4,
cBASISHeaderFlagHasExtendedData = 8
};
struct basis_file_header
{
enum
{
cBASISSigValue = ('B' << 8) | 's',
cBASISFirstVersion = 0x10
};
basisu::packed_uint<2> m_sig;
basisu::packed_uint<2> m_ver;
basisu::packed_uint<2> m_header_size;
basisu::packed_uint<2> m_header_crc16;
basisu::packed_uint<4> m_data_size;
basisu::packed_uint<2> m_data_crc16;
basisu::packed_uint<3> m_total_slices;
basisu::packed_uint<3> m_total_images;
basisu::packed_uint<1> m_format; // enum basist::block_format
basisu::packed_uint<2> m_flags;
basisu::packed_uint<4> m_reserved;
basisu::packed_uint<4> m_userdata0;
basisu::packed_uint<4> m_userdata1;
basisu::packed_uint<2> m_total_endpoints;
basisu::packed_uint<4> m_endpoint_cb_file_ofs;
basisu::packed_uint<3> m_endpoint_cb_file_size;
basisu::packed_uint<2> m_total_selectors;
basisu::packed_uint<4> m_selector_cb_file_ofs;
basisu::packed_uint<3> m_selector_cb_file_size;
basisu::packed_uint<4> m_tables_file_ofs;
basisu::packed_uint<4> m_tables_file_size;
basisu::packed_uint<4> m_slice_desc_file_ofs;
basisu::packed_uint<4> m_extended_file_ofs;
basisu::packed_uint<4> m_extended_file_size;
};
#pragma pack (pop)
} // namespace basist

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// 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.
{
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0x4335E5E0, 0xD9FE5FBB, 0x2525256A, 0x9AE892, 0xC0D5FAF5, 0x5BA5E641, 0x7EDEC8B8, 0xBB671211, 0x4C9844EE, 0xEE042415, 0xE5663EAE, 0x90909091, 0xAAA45AFF, 0x15556E1D, 0xA6959195, 0x4BFF8BF,
0x5166AAF, 0x15490065, 0x6F5BAFAF, 0xFF00FF00, 0xD96956AA, 0x15AF6B, 0xFF5A00AA, 0xE0E557AA, 0x1A6F19BD, 0x69655555, 0xD0500158, 0xEEEDD894, 0xE4E4FE, 0xC71B7B10, 0x55AA5AAF, 0x50AA59BE,
0xE4E990E4, 0x5353B63B, 0xFEE5D0E4, 0x96AF051A, 0x3CC95A6, 0x70B5A40D, 0x9504196E, 0x4A0BD7A3, 0x11B89592, 0xAAFF4095, 0x55A5D4E0, 0xBBA55050, 0x1111666, 0xA5544000, 0xED994444, 0x5A56BF,
0x94A954B9, 0xFB651000, 0x604E633E, 0x14291A15, 0x56965956, 0xB8E0D0C0, 0x5A565A55, 0x65A61A6A, 0xE490F990, 0xCA87AAF5, 0x6060A0B, 0x24C23143, 0x55AA9A40, 0x505E1605, 0xCEC0486E, 0x156E55EA,
0x79978B0B, 0x4595F53C, 0x405C4AF7, 0xC1897D75, 0xD5F40BA6, 0x95444017, 0x14AD6935, 0x87C7A7BD, 0x4A4E8597, 0xFF1D7E55, 0x451400F9, 0x1112277B, 0x9A0590F8, 0x53E3492E, 0xE590E995, 0x7E730A9A,
0x929697E7, 0x2E781609, 0xE22317A1, 0xEDE9D884, 0xDDD75CDD, 0xAF1B6F1A, 0xE6909047, 0xA77DAD5D, 0x184C0D5D, 0xFAB56010, 0x5EA4F1D0, 0x11166B6B, 0xF51A7AD6, 0xF79950F4, 0x1B6B1B11, 0x9A6D6469,
0x441997E, 0x4546869A, 0x95AA6965, 0x155A6A, 0x6E68B0E6, 0x5A55A665, 0x1B051605, 0x601D8BE6, 0xBD2F1B06, 0x409A429B, 0x23272721, 0xB07454A9, 0x7E66A3A1, 0x1B6A5500, 0xA0E0F5A6, 0xBF5A0500,
0x55A5A9A9, 0x99D9E995, 0xE440566F, 0x6550BE99, 0x2267777B, 0xFA50FE50, 0xA657B441, 0xB4E29343, 0x555090E5, 0x45465B6B, 0xE654E6, 0xEA90469B, 0x2E05D2F4, 0x99594444, 0xF1C20746, 0x295AD2E0,
0xF990EA95, 0x804459AE, 0xA9999894, 0x1F41E4A5, 0x4040E5E5, 0x5481E1F2, 0x2AFF59F1, 0x6B6B1712, 0xA7131051, 0xF9406F16, 0x1B2B5B9E, 0x587E0F2F, 0x547E1919, 0xD0F5645B, 0xB1B1B1B, 0x5756A4FE,
0x46A9B965, 0x1529F99D, 0xE490E490, 0x4495FE, 0x985E0B06, 0x5FD2D23A, 0x5D0E95A, 0xF69103F4, 0x4029790, 0x1B062F1B, 0xEE594500, 0xB6539B5A, 0x106165BA, 0xD26B7C8D, 0x8B2A25A5, 0x55EAD5E3,
0x431FB8E1, 0xBEB4E646, 0x9A5A4545, 0x5015A6B, 0x90D4B83D, 0xDB8A99A4, 0x9E894905, 0xDD7D1101, 0xA95E00BF, 0x579FA5A5, 0xA292D145, 0x93292C96, 0xF9A995A5, 0xBFE8A450, 0xB990D15B, 0x45D1E01A,
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0x5156253E, 0x1F29E054, 0xCDDAA773, 0x5601AB05, 0x94FC94C0, 0x116166BB, 0xBF964006, 0x414196EB, 0x8498D9ED, 0xB5E08687, 0xBD564150, 0x2B8D9DF8, 0x7F12017E, 0x90904747, 0x50B56AB, 0xDBD19490,
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0x20297A15, 0x6B660100, 0x313177A2, 0x55054150, 0x6A969669, 0xF0B82111, 0x555A6996, 0xB666295A, 0x1EA95441, 0x6A166BA5, 0x8C18566D, 0x2797278A, 0x82A552BD, 0xF964BD14, 0x41540668, 0x5078785A,
0x5754FE, 0xF9E0E5FA, 0x15453D3F, 0x5A9699A9, 0xD9854147, 0x849494E9, 0x1DC39734, 0x67E797B3, 0x107066F, 0xAED9986C, 0xAB564140, 0x9B51A6B7, 0x5FD3E2F4, 0x5A5429F9, 0xF9A05161, 0x5A5A6965,
0xDDD88484, 0xFA50FA55, 0x90E5E4FA, 0x6BF166B, 0x6566665A, 0xE450A6E5, 0xEB45AA04, 0xDA9A4646, 0xD7A37235, 0x11431B97, 0xD41D6E64, 0xD3D3A1A0, 0x5D540E9, 0x627777BB, 0x5054A4BE, 0x593A05ED,
0x2EBE454B, 0x1ABA1015, 0x7C64B460, 0xC358B47F, 0x176F4293, 0xA6E417AB, 0xF611756E, 0x1F40D499, 0x84885D5F, 0x2F0B9B9B, 0x14BE05, 0xE5919590, 0x101B146E, 0x7B261190, 0xDC96F8B0, 0xF460257E,
0x34B0AFC0, 0xEB9140FE, 0xC5C589DD, 0x1F6D6865, 0xF5100195, 0xAF560607, 0x505066B5, 0x7E590999, 0x13E190E4, 0xA56ABD59, 0xC21B68D7, 0xE594E4, 0xF6576E50, 0xFFA751D1, 0x19A179CB, 0x2726797,
0xA1931C7C, 0xE1D90F1B, 0x7F2B2510, 0x6AF90055, 0x5F1E4C88, 0xE410757A, 0x95702212, 0x7B762100, 0x1B05BF6A, 0x16F05AB, 0xDDC5C9C9, 0x72BE594, 0xE490E555, 0xC5E50106, 0x816DAC16, 0x5540FA90,
0x156605FF, 0x3B372621, 0x2B57A67D, 0x6C661E16, 0x1E97A917, 0xE6E2D383, 0x1B40F91B, 0xD9A63333, 0x34E18629, 0xA71616E9, 0x84946D99, 0x1B6906AF, 0xEFDE8904, 0x88F52470, 0x50E990F8, 0x4182E1B4,
0xBAE1865B, 0xF48E4F4, 0x64A0517F, 0xA1F45902, 0x12177BF5, 0x465EBD91, 0x37A747, 0xF0A5106, 0x4C4E8A5, 0x62779E65, 0xDE494989, 0x7B6796D1, 0xC5C5C58A, 0xE4786B07, 0x6F07E0F9, 0x5554A550,
0x95559333, 0x747A6B5, 0xA4A45500, 0xE998444, 0xF5966371, 0x111116BB, 0x783A679, 0x95409AFF, 0xFF9690E4, 0x60743EBD, 0x1C5A90FD, 0x2B051EE9, 0x5B7A1624, 0xEB415701, 0x1B6B0155, 0x9BCB8586,
0x599E5C51, 0x510064BE, 0x50FA6060, 0x16066B5B, 0x54DA89D5, 0xA01468B5, 0xC1655E5, 0x55FF6657, 0xE4985E9, 0xD738BE27, 0x6938D450, 0x47D0E4FE, 0x4858986E, 0xE793431E, 0x1A05FFFD, 0x18939141,
0x15EE4620, 0x79E45151, 0x663AA556, 0xD1266DD9, 0x7E0655E0, 0xB6A7676D, 0x54A96AA5, 0x1664092B, 0x56517AA0, 0xD6402CB8, 0x40A7773C, 0x554F0646, 0x488D5F2F, 0xE4E49095, 0x1C7CB4E0, 0x7C27529A,
0xF6FAA151, 0xCC7358D6, 0xE8406D15, 0x6E074B5F, 0x638359F7, 0xD4E9A88C, 0xE888050F, 0xE6546A0B, 0xB9904EBD, 0x755061AF, 0xA371285C, 0xE95A1904, 0xCADD042D, 0x757F6ED6, 0xE4A91F06, 0x6D5D0909,
0xE49559B8, 0xF4B0569B, 0x8454B5B9, 0x2161B5B6, 0x855AADEE, 0x575B0544, 0xBFE4D086, 0xE484CBEB, 0xF9F5426F, 0xCC653366, 0xA3524656, 0x9A5989E4, 0x10451466, 0x71F1655, 0x9B90A4ED, 0x14599FF,
0x9666AA91, 0x5A99A945, 0x9685CD8F, 0xB8506A91, 0xB427E0F8, 0x50A990FE, 0xA5FA9090, 0x60D4DA80, 0x28E35CB3, 0x55E4AA, 0xD20B55A4, 0xE15F86, 0x36E6995E, 0x54036FFF, 0xA79D2250, 0xBA11A500,
0x404603AC, 0x641065A0, 0x9DD84A0A, 0x969B061B, 0x36737313, 0x7B65631A, 0xA4E4C099, 0x9590448F, 0xD57F0680, 0x6094D86D, 0x15D8E3BD, 0x757F7DD7, 0xB45B854, 0x6560FA98, 0x7A805637, 0xD68416BB,
0x7B767131, 0x90F9E8FE, 0xA4E54045, 0xE0411F6E, 0xD57D7DDD, 0x33CB1C33, 0x58ADD010, 0x9B1FA5C6, 0xA401BE95, 0xA950F994, 0xA851971E, 0x33CC33CC, 0x10F0B164, 0x151A6F01, 0x78B5660C, 0x33333225,
0x41162402, 0x5F0506CB, 0xFD96166F, 0xE4417643, 0x56A51A94, 0x5323BFEA, 0xD12DD12D, 0xA999959A, 0x547C6482, 0x499EE652, 0x4AC7D1E5, 0x2D3DAD07, 0x6B171201, 0xAF065854, 0xD6C4891D, 0xCC739CE7,
0x9D692663, 0x3E41597C, 0xF38314BB, 0x1150A4F4, 0xE1E50FA, 0xF4D60B6F, 0x5A54E590, 0x227AB5F0, 0x73A3D7FC, 0xD7420A59, 0x12015A59, 0x4F1999D5, 0xA90EE44A, 0x1065B9B5, 0xD10533E3, 0xBA918409,
0xE5409FEF, 0x4549047F, 0x6B57A6A5, 0xE94691AA, 0x111A6E7E, 0x45496BA, 0x49FD999, 0x414D5B8D, 0xAB10EF5E, 0xE9878505, 0x8C910499, 0xC0C5DA3E, 0x6F1B7298, 0x177D78D0, 0x687B5665, 0x3F470353,
0x1441A590, 0xE1965F6F, 0x5A5B4A8D, 0x47D7C98, 0xD1404115, 0xB89A053F, 0x8C4095FE, 0x4861E055, 0x3B417607, 0xF9E0E4E0, 0x65B0506, 0x93633236, 0xAA07A5E4, 0x77747080, 0x776160F0, 0x1672B05,
0xA54E0428, 0x520A9625, 0xE581065, 0x90C76D76, 0x2157B2B3, 0x5C5BE06, 0x151A5A01, 0xA9D5C081, 0xCBCD9854, 0xFDD1061F, 0xB66111B1, 0x9DC3D7B0, 0x650A7642, 0x8095734D, 0xD052011B, 0xE0A1479B,
0x9501BFF8, 0xE9D9BD0D, 0x7A017925, 0x69A67373, 0x41E0E557, 0x5F844124, 0xEAB0695E, 0x566B5040, 0xCCC9D693, 0xA79684DE, 0x6B5BC3C1, 0x9595667B, 0x9C33CA5C, 0x8984C5C5, 0x459BBDE9, 0x1F10A5F4,
0x22A55AA, 0x97C3430D, 0xAA569A55, 0x552E1E00, 0xD3C3C78B, 0x82C7521E, 0x5B0605EA, 0x5FF69268, 0xD081460B, 0xE4517F06, 0x4448C9CE, 0x2F69F940, 0x476DA470, 0x9F96FE12, 0x4D8D9E8E, 0x6A6A16B5,
0x1D05BE66, 0x84F5BD, 0x691E1B41, 0xE0939B17, 0x159059AA, 0x1E5792B9, 0x25A701A5, 0x439162E, 0xE994077C, 0x5CC396AA, 0x1D0D9AA5, 0x4A4A598D, 0x1B6F156B, 0x1A1B0F40, 0x34CB34CB, 0x6F542E,
0x32CC739C, 0x94EB9669, 0xDA8D4E1D, 0xC6C5C46E, 0x10152B3F, 0x8787F9F9, 0x5E42D064, 0x699B05E9, 0x7030295E, 0x495E09BE, 0xEE191016, 0x801D2D56, 0x3A0099F9, 0xEA09059E, 0x5BAB5100, 0x393D49C,
0x10E15DC2, 0xB056DD4, 0x3536915, 0xE0C18719, 0xEB964090, 0x6172727, 0xFD5900FA, 0xD10B78D1, 0x33332626, 0x50F990F9, 0x78600A5B, 0xE2B5401B, 0xAE5E9404, 0xF2CF0C0, 0x9E9D8080, 0x84E4F4F9,
0x41F0E59F, 0x90787E12, 0xE4E19143, 0x761D6706, 0x6560BCE5, 0x134A9BD3, 0x23768995, 0x22ADF6, 0x434A5C72, 0xD4985444, 0x70936BFF, 0xAB54E0E7, 0x45E7A682, 0x7A786D90, 0xF8546A00, 0x5F5E4540,
0x999A651E, 0xF9E297FD, 0xAF86E5, 0xD00B6E54, 0x5442878A, 0x50E940A5, 0x61F6AF1, 0x479701AA, 0xAE455E5D, 0x6560123E, 0x22D17625, 0x83071B64, 0xF9460251, 0x5F4B064A, 0x8742417C, 0x5F89C51A,
0x14A29F50, 0x5013BF6B, 0x76395676, 0x54A590F9, 0x40915AA7, 0xEB95E041, 0x7E560504, 0x65B9E4D1, 0x3F63A594, 0x17448216, 0x1A4F87F1, 0xF990E696, 0xECE89A50, 0x2266B17, 0x6A959A98, 0x50F5001A,
0xBF056A55, 0x74470FFE, 0x65251011, 0x9F7D6597, 0x51BB962, 0xA0D04297, 0xA257F0D1, 0x5B1569D5, 0x4F40959E, 0xEC5D1D0D, 0x51A1A, 0x1DF56462, 0xC4491A6F, 0x4B4A55EF, 0xFD741D5F, 0xE1526713,
0x875153E2, 0x9752A2E2, 0xEFDA8504, 0xF0E84756, 0xE0A196E9, 0x5FAF5C40, 0x9A3359CC, 0xE056062E, 0xB07B71D7, 0x5966475D, 0x66161100, 0x444A0151, 0xDAC7D6F5, 0xFBE8E314, 0x35098512, 0x1A7F7690,
0xAF970158, 0x666A6996, 0xD1D10938, 0x742969B, 0x4542A5FE, 0x6EBE50A1, 0x816E7955, 0x64E1D0C1, 0x105156AA, 0x6A9AD0F5, 0xB4909E2E, 0x55A6A959, 0x45B4999F, 0x3266CC26, 0x9B915EE, 0x9769E58B,
0x2EF59968, 0x3F2F0711, 0x79798469, 0x6161B6B6, 0xA79504B1, 0x9B92A351, 0x61C08573, 0xAB1B656F, 0x37271601, 0xE4840979, 0x45D1C1DA, 0xA4C4961B, 0x59A7F2F0, 0xEA9FC147, 0x635362B0, 0x9561EAF,
0x6B6762A1, 0x585A43D3, 0x8484819F, 0xD1C30D5D, 0x2123101D, 0xA0F8E4F9, 0x63676220, 0x17EB6A5, 0x90E63F27, 0xDD256045, 0x7B66A1A0, 0x64143F6, 0x41D479D7, 0xF1520F82, 0x12B44687, 0x1504BE1A,
0x90E45401, 0xC4C98E4F, 0x919097C, 0xA7A52919, 0xB9B62313, 0x9695C089, 0x30C5E6BD, 0xAA55669B, 0xD19F0645, 0x1150E2FF, 0x36213121, 0x1F1F0A05, 0x2A315099, 0x2A1E0414, 0xA3E3D04, 0xD5992851,
0x19A56A45, 0x5D0669E5, 0xA7C1F8C0, 0x84D1E5AA, 0x7292A464, 0x9040F5E4, 0xF185405, 0x1FAE4509, 0xF91690BE, 0x5540A540, 0xA1D2874B, 0x560B65F8, 0xC207E1E6, 0x646D0F9, 0x5A1440, 0xBB454116,
0x13597242, 0x413A4504, 0x66E7D2D2, 0x61DA6950, 0x519DF0A0, 0xD2926EB4, 0xA583060B, 0x247E1587, 0xE50590BD, 0xEFF50146, 0x6252B722, 0x4B9AF552, 0x42445A5, 0x5D0844D0, 0xD7C1D18, 0x6B53900,
0x7DD68434, 0xE6964247, 0xE0A50B5, 0x72635347, 0x669A6B06, 0x91549A65, 0x8F097CA5, 0x849458EC, 0xF9B09275, 0x71390D5A, 0x478BC9D6, 0x5D579AA5, 0x9ED08605, 0xCA1C35D3, 0x1029669, 0x1344FEA7,
0x5B468B87, 0xA7F29990, 0x60BDB855, 0x3430B574, 0x544461FF, 0xC5C9550E, 0x69E716A7, 0x112336, 0x3F11D2D7, 0x2F0796E4, 0xB5250B00, 0x33CC33DD, 0x20357676, 0x7B6F9272, 0x114B09BB, 0xA7F6C987,
0x32959833, 0x40D25BB6, 0x13170353, 0xD52E5949, 0x93626538, 0x43449A56, 0x655890BA, 0x2F56811B, 0xE5E4C88, 0xA6079500, 0xA4F90507, 0x6460A055, 0xE990906D, 0x156F56AC, 0x54CF00, 0x181D5A0A,
0x7C09E947, 0xAD9E898C, 0xFF914212, 0x6933A7CC, 0xB2935B2E, 0x4454D8A2, 0xA6A560B6, 0x519E2075, 0x575FA6A5, 0xB8B06916, 0x598B471B, 0x10686AD1, 0x45EA0170, 0xD0470B9B, 0x3B511E0B, 0x53D79D0,
0xCBCAC5C5, 0xDAD54CD0, 0x3542EE79, 0xB4AD4FD, 0x642DFF01, 0xB99109B9, 0xE1919B9F, 0x97B84162, 0xE995460A, 0x1060F5F5, 0x166DBCF1, 0x4214957A, 0x6C60626, 0x50FE4F0B, 0xB466470A, 0x808596E2,
0x70D1440D, 0x818617B6, 0xC8E8DDED, 0x40443474, 0x103E0750, 0x1559A9, 0x16E29FF, 0x54FE0447, 0x34CAB25C, 0x9B30756A, 0xB0E74B05, 0xE19051D, 0x402E7450, 0xF5E0D1AB, 0x87979B5F, 0x8707BA71,
0x90B4A491, 0x1A2F5301, 0x6C44D318, 0x8AC0A1F4, 0x5A6F0306, 0xE1159090, 0xF9A54183, 0x4CC7321C, 0x7E64868B, 0xFDE60582, 0x4BE77014, 0x1B902D01, 0x104D8FA7, 0x16A7CD, 0x94693912, 0x62E759A,
0x594BA906, 0x5D023747, 0xDF9757AD, 0x97364CCA, 0xFA011265, 0x12E16116, 0x7A615600, 0x501196F9, 0x5067E247, 0x2A75B070, 0xBC0196BE, 0x19FD8907, 0xCA8511AE, 0x7B671210, 0xB8F0966F, 0x600AE5F4,
0x4146858E, 0xA579C124, 0x19F26C13, 0x2320776, 0x595BF900, 0xFB059055, 0x6FD6E460, 0x86CAD5D, 0x948153A5, 0xC6C546FF, 0xE199AD5A, 0x656A566A, 0x81256994, 0x7C285400, 0x37CD6A37, 0x4CF4E1B,
0xD181E0B5, 0x90F89F46, 0x5AD2D072, 0xF1F44D4, 0xB5E091C6, 0xFF90E764, 0x656B9965, 0x833471C7, 0xE6470700, 0x521A517, 0x56620BF, 0x7A6458C9, 0x566959A6, 0x5A5FF3D2, 0xD050063F, 0x9AC17C39,
0xC1F03D19, 0xE7939343, 0x35312404, 0x76671223, 0xA0D05804, 0x7B773262, 0x5E2E6465, 0xE6860519, 0xDE909B5A, 0xB5C094E4, 0xAF019B15, 0x1A57027F, 0x7874E7D3, 0xB35674A, 0xD0854FB6, 0x916509FD,
0x431F91FF, 0x9B605420, 0x566978B4, 0xE8D1042D, 0x2533074, 0xEC904443, 0xD404A4D1, 0xB9984945, 0x435181E6, 0xDFD0520A, 0x37FC61D, 0x1540FA94, 0x876DB853, 0x9D686C9D, 0x5D7DE642, 0x556A6669,
0x6B166F05, 0xF0F06616, 0xE490051F, 0x147B0606, 0xFD76D9D9, 0x3B814E5D, 0x16E6460, 0x91F05406, 0x37444D34, 0x1B17BF00, 0xA8465A05, 0x12429D1C, 0x79753935, 0x639291F4, 0x6761F0F4, 0xBC789460,
0xF890D79E, 0x54780743, 0x1131367B, 0xD6487C64, 0x8E582E4F, 0x6A972A65, 0x1BA6D0E5, 0x17D6007A, 0x82590727, 0x95D0FA, 0x1540E47E, 0x56B91A0B, 0x8A85C4D4, 0x9F8205E4, 0x80D4C58B, 0x75D3E647,
0x5956D966, 0x74ED4500, 0x167EA440, 0x255E191, 0x31811515, 0x82999DDF, 0x11670BB8, 0x2BDAD965, 0x5AA5669A, 0x55BF105A, 0x88496E59, 0x5AF56600, 0x4858E751, 0xF4811BB9, 0xB501A7B0, 0x11B26DB,
0x767C9887, 0x602D7703, 0x1219F8FD, 0x464297D, 0xFF06DB95, 0x156A04BF, 0x5050A39C, 0x35CA4F94, 0x7F00EF1B, 0x68353273, 0x150663B6, 0x79666190, 0xDA650647, 0xA962959A, 0x96E596FF, 0x537E17A3,
0x57F9E440, 0x101458FF, 0xA4D4E441, 0x1898C4E0, 0x7E189481, 0xB6C71904, 0x9A95EDDD, 0x944449FF, 0x61E4C997, 0x52DF8F5, 0x6A51F46E, 0x9145AD, 0xD9A8DDD2, 0x8784E63D, 0xFF5B906E, 0x2998A559,
0xCCCC6633, 0xB954C0D0, 0x70B5663B, 0x531C8B25, 0xFFBA0191, 0xF4E35B90, 0x40FF7150, 0x1F075AE5, 0xD0015BFF, 0xDCC3D6DB, 0x4E54A07F, 0x7E9647A, 0xA19D4E1, 0x51504404, 0xE7D68A8A, 0xAF10A450,
0x71B71184, 0x79940A0E, 0x821B196E, 0x50413A5B, 0x5707962D, 0xD1B63962, 0x819DEDE4, 0xEEC5CB54, 0x251DBAD, 0x50BD6D1D, 0x20976E74, 0xDDC98A4F, 0x451079E9, 0x69146E, 0x68590311, 0x8045A9F4,
0xEEC58B96, 0x98CCC996, 0x94784451, 0xE6D6015B, 0x3035B95, 0x12E39F6, 0x50EE4058, 0x4D1C74A0, 0xA4291505, 0x936B67D4, 0x2AC1449D, 0xA4015A6D, 0xAFCB4414, 0x74A50038, 0xDED051C8, 0x347B76DA,
0x817ED01B, 0xDD2D79D2, 0x5A1A011B, 0xA040F556, 0x540246B8, 0xF2B45A06, 0x6A4999B4, 0x4B67D0BF, 0x31614701, 0x456C84C1, 0xB8F4814C, 0xFF009669, 0x4F4A4999, 0x907D95AB, 0xB7A49402, 0x526E61D,
0x5A9542D3, 0xF8792606, 0xA913569, 0x3193534B, 0x7A61D074, 0x51A452E3, 0x40E490E5, 0x4106377, 0x404A1709, 0x1562727, 0xC0B89996, 0x4440781E, 0x78FA9053, 0x5D1E00E8, 0x1C3C75D0, 0xD581AB05,
0x85C58A4, 0x44E490E4, 0xCD94CDCA, 0xB252E6D6, 0x1FC345AB, 0x40C5B905, 0x26693851, 0xEC3741D, 0x1B5869B, 0xA161510, 0xE061977B, 0x8A580510, 0xD960D554, 0xB53E091, 0x14B900FA, 0x3E094659,
0x6090906, 0xE6B47C17, 0xECEC9840, 0xF9A405FA, 0x90F994FA, 0x2B750A5, 0x803B3D25, 0x14AE405F, 0x6F97E0FD, 0xCD34E38C, 0xDED0D4AF, 0x96D1C038, 0x51E78187, 0x93D7CACD, 0xD4D052A7, 0xE6558B4F,
0xF6025766, 0xE54074B0, 0x6613252C, 0x257A75, 0x1B1266B5, 0xF956E0B6, 0x44D3E3B9, 0xC5C5E9E6, 0xEBD69599, 0x9F91D0F8, 0xB0A05253, 0x6E0F1761, 0x425FE480, 0xA5A051FF, 0xB1384DC7, 0x1CE31CD3,
0xEBF6701B, 0x6B152998, 0x35A62510, 0xD140E5E6, 0x9070791D, 0x3CA6D1, 0xDAC98985, 0x90917E97, 0x19BCF91, 0xD0C7CBC7, 0xB5466B37, 0xB111D25B, 0x9A29978C, 0x3196C50, 0xCAC5C1FF, 0x4F4A4192,
0xB14E708B, 0xD5E958D3, 0x73747E24, 0xEDE0D6A2, 0x1B91436E, 0x79252511, 0xCBC58C44, 0x7E64F890, 0x9F05B9F4, 0x1B55E0D0, 0x21D1E969, 0xF4558028, 0xF9E5C3C2, 0x1974325B, 0x6A94E0F0, 0xD101A5BD,
0x1A17075, 0x5B2D78E1, 0x17194807, 0xF5C24B1D, 0xFA40E655, 0x7A095515, 0xE106F993, 0x565A1103, 0x5A54F6E0, 0xF5E0016E, 0xD6CBC5C1, 0xF940E696, 0xAE316D90, 0x6A146A00, 0x9B96E9E4, 0x6351D86F,
0x5A466995, 0xD4460B8A, 0x2CC3744E, 0x99666696, 0x20257ABF, 0xA3F2955, 0xD5D0919A, 0x54444859, 0xFC5C606F, 0xA6653749, 0x306E696, 0x2528BD70, 0xA07BCE5, 0xF0A46662, 0xDC649440, 0x99C7874A,
0x656CBEB, 0x5151A67B, 0x60DB4B05, 0xD1444107, 0x514B74, 0x165025A, 0x5B5A1101, 0x7101179A, 0xD09A070B, 0x50A096BF, 0x47A9521D, 0x4B2D7492, 0x3F0F1B53, 0x1941ABFF, 0x7B666111, 0xD3C345BA,
0x1CA9D6, 0xE18359B9, 0x1590E6F8, 0xF4285902, 0xBF1B92D0, 0x1BE76D, 0x2A5582C3, 0x8979164B, 0x3C721B40, 0x33C0CF30, 0x2DD21EE1, 0xE9D30707, 0x192DF65, 0x1B92E7C5, 0x33333669, 0x1E0560F4,
0xFB53034B, 0x966A6699, 0x6F9797A7, 0xEF469BDB, 0x1943F5F6, 0x1DA7C70A, 0x74741E9E, 0xF5709967, 0x520B74F1, 0x4741FBAB, 0xDA6712B9, 0xCBC6C1D0, 0x67E2D64, 0x5E03B625, 0xC088D9D5, 0xF89005FA,
0x5A2516AA, 0xE5C7D9D6, 0x69FE5096, 0x435BE0D1, 0x7193DB8, 0x9CCC9967, 0x54613301, 0x461211BC, 0x730C6FAB, 0x6050A5B1, 0x7EB91141, 0x6A152F00, 0x69665AE5, 0xAE5780F8, 0x7D06F90, 0x2032D510,
0x4E0746D1, 0xA69C33CC, 0x1A462616, 0x36C6C6C6, 0xFFA59D1F, 0x9B6D74F1, 0x1197907E, 0x656A9995, 0x91742E48, 0xD00538F5, 0x441542, 0x40D2469B, 0xFF5999, 0x15A9966A, 0x94841EF9, 0xA5651D1F,
0xCC9C6633, 0x2F7D107E, 0x9B81411F, 0x9E59A669, 0x5E970007, 0x7E2E1F03, 0x29B5F244, 0x86C5D48, 0x548581B4, 0xF955CF44, 0xE35CB2CD, 0xA956B6D7, 0xE0E69125, 0x1969C59D, 0x550099EF, 0x68D99F24,
0x5FA65010, 0x2B1256FD, 0xF8244147, 0x1D56470C, 0x2162A76, 0x62F16510, 0xAA556995, 0x540669, 0x14C29726, 0x4790FC0, 0x2CC19B44, 0x6CD7759D, 0xD7F64140, 0x425F81E4, 0x5034348D, 0x65095966,
0x7261B0F5, 0xAF5681D1, 0x935A4051, 0x5262767B, 0x595EC2E8, 0xDB743847, 0x3C60A513, 0xC21F3991, 0xCB34C738, 0xD19AE995, 0xB9171781, 0x1107AB66, 0x5FC0D790, 0x2070F1F6, 0x6E5E1A09, 0xB5407E5E,
0x505494EA, 0xE4703556, 0xF890999E, 0xA65BF595, 0x2919A7F, 0x49DD3880, 0x94EF960A, 0x183D1906, 0x1500F9F9, 0x9DEE4509, 0xF5FA6313, 0xE0526850, 0xBFE60005, 0xF16E685, 0xF90065A5, 0x916AF859,
0xFF608454, 0xE6BF5094, 0x81D1E0FA, 0xA19FF91, 0x60D59CD9, 0x39524274, 0xD7994F4, 0x36295C8D, 0xE0503945, 0x2D85C545, 0xD1500658, 0x22172635, 0x338C5626, 0xDE812506, 0xDB57E8D0, 0xE9D955F6,
0x9F6C94E6, 0x9636CC33, 0x2A1A3542, 0xF95D80F5, 0xD4266F42, 0x1C9E5F9, 0x74A1C30E, 0x6B16A050, 0xFB03506A, 0x4218B469, 0x94D1422D, 0x427D3531, 0xC25BAD40, 0x6692B292, 0x5A50E9A5, 0x717CD4C3,
0x71938F59, 0x5147400A, 0x41BC6EB5, 0xD4A0D4E4, 0x1D0E5FA, 0xF6869F06, 0xA7E35252, 0xF4D1421B, 0xA4894DE7, 0x2D946B1A, 0xD0FFC684, 0x17C291E4, 0x7F525000, 0x15848139, 0x669669A5, 0xA7A76353,
0xA996966A, 0x2FE155C0, 0x1E1E42D6, 0x4CB19976, 0x1103BE69, 0x57699082, 0x71624AF, 0xE1445A09, 0x969A4504, 0x5602955E, 0x5A1548E4, 0x5B074314, 0x74A6CE66, 0x9038152E, 0xD8C4554F, 0x3EBB0657,
0xA8A65669, 0xB9B56010, 0x96B92D86, 0xE9D9CCA4, 0x33DE69A7, 0x5C8CD8E4, 0xF5D1401A, 0x4B59A46B, 0xCD258D07, 0xF3C3A475, 0x105DFC2E, 0xF7929140, 0xA4A450FE, 0x5B4598, 0x17137B75, 0x1B05F082,
0xD62474D1, 0x673AB500, 0xA9460B5E, 0x47025AD1, 0x6E6695D9, 0x1262B6F6, 0x6AE65190, 0x66A69499, 0xD0993A76, 0x22321727, 0x55C0C56F, 0x6F7D1E43, 0x352F53E, 0x6AD6662F, 0x62713623, 0x948484F9,
0x27161E04, 0xE996065B, 0xFED0411E, 0x8BC59A4B, 0x689E4B01, 0x40467E7E, 0x550E0F8, 0x1832D78D, 0x6CEC9580, 0x6A9E8F6E, 0x5340D4B1, 0x1449C6D, 0x22163530, 0xB4F6C3C6, 0xAD01DA95, 0x656F051E,
0x8151167B, 0xA0C3966B, 0x40F85B15, 0xDD4B8D2A, 0x24BB667, 0x52E193F, 0x56A7019B, 0x12625504, 0x11A16297, 0x4B59066C, 0x59E990A0, 0xA45C0B00, 0x92C34B3F, 0xD06F6325, 0xC68D18B9, 0x74783C30,
0xEA58C5CD, 0x142151F7, 0xDA649E04, 0xDA950602, 0x6E641510, 0xA7249144, 0xF46A1FF, 0xA950F611, 0x752E1FC, 0x7A460551, 0xB8E0D6D1, 0xE9D09151, 0xC745A104, 0x2072E687, 0x9F870105, 0x65A0F1FB,
0xD0D500F9, 0x1A901FE1, 0x6F4E9401, 0x33322558, 0x52532732, 0xDB16B782, 0xBAA56046, 0xBCA19396, 0x411B39B7, 0xDC847184, 0x31C8B364, 0x6A66906E, 0x3F85D8F0, 0x36EB4393, 0xD518985, 0x34392F47,
0x1FCF4E96, 0xF4A05E06, 0xBD5B102C, 0xFF056A65, 0x561BB601, 0xACC50A51, 0xA3733235, 0x7E1B53E2, 0x5251A0E5, 0xE078156F, 0x1F56E790, 0xA9965D59, 0xE0949C7D, 0xD87D560A, 0xD0649CED, 0x1065A47E,
0x257CE4C3, 0xE2409597, 0x71D49220, 0x253929F, 0x47673ECA, 0x716B51F3, 0x4C1C48C5, 0xC7C1520B, 0x7B593060, 0x4F88491E, 0xA566A956, 0x7767A34, 0x65149A00, 0xB6D75A5F, 0x96A757A6, 0xA050617B,
0xB007D141, 0x12A377B0, 0xC4E8D5F5, 0xE0C74B95, 0xC13C06F9, 0x7996213D, 0x9AC68F45, 0x65460B95, 0x99A7C292, 0x889C9C6C, 0xA4EDD440, 0xB0693DF, 0xFF50E490, 0x507A977, 0xE4147ED0, 0x80F19505,
0xFCC5066E, 0x74B64319, 0x103A1EC6, 0xB288507E, 0x56A779A0, 0x7C9056AA, 0x381294FD, 0x5D194EC1, 0xF0C19B1F, 0xD60A1DE1, 0x94C0C4DF, 0x7E66824B, 0x69670667, 0x461520C7, 0x7466071F, 0x96FD1A00,
0x10C4EA65, 0x93DE045, 0x6F01E2E5, 0xB196946, 0x504246AD, 0xB45E0F4, 0xABF1194, 0x84C94D5A, 0x111D27E, 0xF6951BBD, 0xE081166B, 0x56699965, 0xA1F16C54, 0x46107A64, 0x821C3491, 0x88D86E5B,
0xE5D2C7CB, 0x5203432F, 0xE616332B, 0xF9854938, 0xD2736742, 0x671061F7, 0x9248BDB8, 0x544106E2, 0x6134280D, 0xC65E091D, 0x5599E860, 0xECC245B4, 0xFE4564E0, 0xD500F4F4, 0x59FDC0ED, 0x44530376,
0xB152767E, 0x6A074351, 0xC565DE, 0xAD995844, 0x57F1D099, 0xB252D484, 0xD1984D8E, 0x5196A66, 0x2C59E167, 0xC0E9055F, 0xFD196F06, 0xF5F0C1C7, 0xFAD05152, 0x2126E0F5, 0xE9F42911, 0xC8339895,
0x8D405BD, 0x50E94377, 0x443AF945, 0x5011293C, 0x76A297AD, 0x1EE440C5, 0x35DAD9A0, 0xA4419590, 0x165BA619, 0xF60B9A65, 0x1F89444A, 0x71B0255, 0x476DF0A6, 0x61D4A1A, 0x469F9DB0, 0x32355C8C,
0x86091D46, 0xE795060B, 0x2296305C, 0x6E41F80, 0xF490E594, 0xF4E25699, 0xBF65AC50, 0x4A7E75DB, 0x1015F458, 0xB04ACD9E, 0xEE5478F4, 0x7F630C53, 0x4E49F5F0, 0xCDA3319C, 0xBE116D20, 0x4589D9E9,
0x7435434B, 0xFDD96656, 0x5F681E4, 0x99AD1C50, 0x552A5401, 0x68F04549, 0x73B66D2, 0x1F86D101, 0xD041160B, 0xF906FFA5, 0x689676DE, 0x5F4780BD, 0xF0939AA5, 0x1F0B5F40, 0x501B3F, 0xA8C193B5,
0x8C73CC33, 0xE24F7CD3, 0x9090A565, 0xA990D59A, 0xA1C14877, 0x946D8180, 0xF8343124, 0x14C1E915, 0x4919CBA5, 0xFF55D001, 0xF4E152A2, 0x46687EF0, 0xF05ABD48, 0xB7B37460, 0x1474C58, 0x94E490E8,
0xB9E44183, 0x78D32DE1, 0xC8E4489F, 0x5BDAA45B, 0xB5610147, 0x5162A5F9, 0x5D6191C8, 0x4595C0A6, 0xA57DC996, 0x6D9D0D1E, 0xF58BC767, 0x1A0E5509, 0x409BD2D7, 0xFF5C135, 0x33B7579, 0xEF035600,
0x779152B, 0x50B091B7, 0x363A3162, 0x491069DB, 0x9C4E0C5F, 0x945A1B12, 0x5490FF00, 0xB5A0B400, 0x1F82D64A, 0xB2C7426, 0x329CDA73, 0xA9995AA5, 0xF65876B4, 0x1E4E890E, 0x857AB576, 0xA52E054,
0x1D11D88C, 0xA35895B0, 0x6F196890, 0xC7143E70, 0x6BE401FE, 0x111BA961, 0x66070AF5, 0x5F07130F, 0xA15061B6, 0x8C73CD32, 0x6C6481D6, 0x6AD5A6C1, 0x14A5872C, 0x46B90BE4, 0xE5586946, 0x3163C58C,
0x1431B550, 0x91E94F09, 0x66F5C24B, 0xEE40461E, 0x97593992, 0x19E059F4, 0x94F92E05, 0x8CC445EA, 0x403D64A7, 0xB0FE5D8, 0x9C9B5C00, 0x7EDED9A4, 0x7CD393B5, 0xF1A50DA, 0x372B4077, 0xBF9046E7,
0x56261E6D, 0x51232570, 0x40153CAB, 0x9B6F6712, 0x51C0160A, 0xB990052F, 0x3788B955, 0x555064A0, 0x6F0B5B05, 0x9776666B, 0xAA069B45, 0xAFF81440, 0x91E4DE1A, 0x80D5C9C6, 0x1E9E5DA4, 0x2B65B450,
0x1213362B, 0xD766654A, 0x461346C, 0x197B2441, 0x5F9547EB, 0x15AF0506, 0x464C8D9D, 0x4021957A, 0xFE54E413, 0x13295035, 0x145E0D2, 0x4D4854E9, 0xBE50919B, 0xA76CF940, 0x91E1406E, 0x9A655A9A,
0x3E65005A, 0x1C0B6666, 0x2611AC57, 0xBE7D1442, 0x311E3FC, 0xA4858185, 0x6E54D2A1, 0x9140A5DE, 0x844EC85, 0xF4A81540, 0x1159BF9, 0x2896D07D, 0xD5E690EA, 0x40A47D47, 0x6F672C16, 0xF1611217,
0xE4096F65, 0x621D05EF, 0x9040979F, 0xC1C5CA46, 0x5B9606B5, 0x5101767A, 0x448C9568, 0xE4983D12, 0xCBC8B5E9, 0x1B15E402, 0xE1C60E15, 0x44E68419, 0x90D48DC, 0x7A9042BB, 0x151285D, 0x676B2613,
0x121644B4, 0x920F52E3, 0x56DE09E, 0x6E6607A4, 0x5E560B0E, 0xC20B7616, 0xAF464146, 0x8C5C2835, 0x474BC2C6, 0xBC6419CA, 0x5C4353F0, 0x31392547, 0x504295AA, 0xCC593363, 0x1C0C6DBA, 0x4D71B7F,
0xCC593633, 0xE71A250B, 0xE8CC599D, 0x894FA695, 0x4EC3513E, 0x39C0C645, 0x7B526034, 0xF91E2E06, 0x1A663699, 0x202599EF, 0xC1D1E195, 0x75E600FF, 0xD0D1ECDC, 0xD6DB6050, 0xE0E5016F, 0xF0910B15,
0xD68C6917, 0x6F1A3D00, 0xF5D61BA6, 0x336D1CA5, 0x7888941D, 0x78D0912D, 0xE1D1C34C, 0x592E4C41, 0x1539F804, 0xFB019650, 0xD5E50609, 0xE8C553F9, 0x411BEBD, 0xE580D1DA, 0x1CACD693, 0xAF15BCE1,
0x1104909C, 0x4B3B4686, 0xB3A31251, 0x50F5665, 0x1D4EC1D3, 0x2830D712, 0x401F0475, 0xC089D4DD, 0xB2425701, 0x40076F65, 0xA950F5A4, 0x9F9990BF, 0x70214431, 0x22753C31, 0xCC7369D9, 0xE9919061,
0xF45A1F1, 0xBD0690D0, 0x79A6C180, 0x2FDD105A, 0x584296CA, 0x116F906E, 0x58484C5C, 0xDF9B10E6, 0x5184486D, 0xE9D89D90, 0x69B05ED2, 0xD9841D2B, 0xC2C6C5E6, 0xF88947CD, 0x90696469, 0xC5C0C6DF,
0x677B0640, 0x4B479BC5, 0x83D1B811, 0x5B47E440, 0x1A419DEA, 0x3DD8D4A9, 0x8752B0F3, 0xD1D18189, 0xCCA632CC, 0x725CCB73, 0x6325CC33, 0x14464A25, 0x5410303F, 0xF8C12F85, 0x39D205E5, 0xFE850549,
0xC68710B5, 0x471F7842, 0xD34A4C6C, 0x4742D188, 0xBFD50A44, 0x1987777C, 0x5B61C12, 0xB2530677, 0xD995A916, 0x75B496A0, 0x31E61E7, 0x53939DED, 0x51705B00, 0xBA5A4046, 0xFF14A4, 0x2599DCF8,
0x7D47F02E, 0x9B959064, 0xDCD4E014, 0x38C22DD1, 0x65647C88, 0xD4606066, 0x3551E0D2, 0xD06157FE, 0x1131260B, 0x8B81E454, 0x1E1865FF, 0x1966A524, 0x4B4684D8, 0x3450F1B6, 0xE4FE41D1, 0x1D31F1E6,
0xC47C1F4A, 0x94656AB, 0x45D101B, 0xB681B712, 0x9BD09215, 0x77924154, 0xFCECD4A0, 0xF0F1C72D, 0x74D0834F, 0xE4908117, 0x65E0365C, 0x955A09EF, 0x6E744349, 0xF4692B13, 0x34750F6E, 0x94D198A9,
0x839C2DB2, 0xED929580, 0xEA609E65, 0x1A15F8D1, 0xFE00D6AD, 0xD5DC0141, 0xD90D3995, 0x6E6640ED, 0xA9B443CF, 0xE50681D9, 0x3F705659, 0x5F5E4844, 0x9A254A5B, 0x26618195, 0x8B945DAD, 0xDFD4E490,
0x674352C0, 0x9967C1C0, 0x5990E995, 0xDEC544BA, 0xA7DA444, 0x16457E8, 0x142DFE04, 0xA4D5C084, 0x13172539, 0x84FC3590, 0xA9734748, 0xFE07F451, 0x42119AED, 0x8F087916, 0x13A65D1, 0x82856E75,
0x3511B1B9, 0xA61BD018, 0x8619B893, 0x40BD89E5, 0x9A15F640, 0x4052464F, 0x9D87C1E0, 0x972C58F0, 0x84D8ED54, 0xE64D9C5D, 0xF421502F, 0xF24864, 0x59B8A154, 0x9A2596DF, 0x1441E6FA, 0x1BE46F90,
0xA8915051, 0xA5B62611, 0xF582841D, 0x825362B7, 0x55F367E, 0x415263BD, 0x3E463930, 0x68754A06, 0x1117F280, 0x8B16B855, 0xEC75E1C4, 0xA0771117, 0x669DB850, 0x6D171238, 0x47167213, 0x90B21746,
0xD92649C8, 0xCAC6C6F1, 0xE392C769, 0x60E7939B, 0x14130475, 0x56001A7D, 0xF657028F, 0x6F6819E, 0x29974C33, 0x49A57C5C, 0xD590E890, 0x6FF1116, 0x132B7665, 0xA0C60B56, 0x9844DF41, 0xA1B103E,
0x44845EEF, 0xA6D2F5D5, 0x55FA4600, 0xBF611264, 0x6AD53610, 0xED594A11, 0xCFC15015, 0x96264247, 0xA4F1D3DA, 0x257EC166, 0xB8D6C114, 0xEA90CF4F, 0x6D5A804, 0x3F0695E8, 0x9C90BCE9, 0xAB4701D1,
0x136357B5, 0x994D9E0E, 0x121652B2, 0x6D9FD261, 0x5CCC9733, 0x873B95E5, 0x905E9C80, 0xA051BA6F, 0x5F478589, 0x197AD19A, 0x50015DE9, 0x5BAE412F, 0x4111162B, 0x738F386, 0xE4835BAE, 0x5B55A2D0,
0x5E4B038, 0xF9F91014, 0x8FCBD1E1, 0xD98B4743, 0xB9955DAF, 0xC5373DCD, 0xBD1C8114, 0x250532F1, 0x24504E0E, 0x62D7C50, 0xE8D44154, 0xA8944044, 0x9D669995, 0x530C6FFA, 0x65167BA7, 0xE641BE,
0x811AB5D2, 0xD18A9D09, 0x6F064045, 0xBF902991, 0xC54F07FF, 0xF6962B11, 0xA4819FDB, 0x60F46A54, 0xE451815B, 0x7C197B, 0x9D44DA0C, 0x869640FF, 0x18C44D18, 0x40247F66, 0x5221F711, 0x510196FF,
0x353261EF, 0x44490E0E, 0xF994E956, 0x926C45BF, 0x7D96855F, 0x84D4C98A, 0xE06BF456, 0xC21B1641, 0x4B5CB493, 0xDA90D366, 0xE8964D44, 0x197C75DA, 0xD6D46333, 0x465E78A1, 0x1942461E, 0xC1356656,
0x58D631CC, 0xD773384C, 0x4A9940E5, 0xA0F97414, 0x53532327, 0x78107AB5, 0x3C091BA5, 0xA6469144, 0x44E45841, 0xC50D5842, 0x4A199678, 0x46365DF8, 0x5463E87, 0x8D2C1151, 0xFF5895, 0x2FD231C8,
0x6C9CD2B3, 0xD74243B2, 0xC4409CDE, 0xB8E0411F, 0x26670F05, 0x5B6697A9, 0x55464A2B, 0x2E0F569A, 0x4660E25B, 0xFE500715, 0x9C683532, 0xCB0C5949, 0x806C6592, 0x679B0156, 0xFE005F15, 0xA540FE50,
0x1F281510, 0x906D4F00, 0x57052C80, 0xA95BC0B5, 0x6C98C5CB, 0x44581E4E, 0xAD9D4846, 0x8352C7DB, 0xB21E50D9, 0xEB4607B7, 0x99AC9C77, 0x1509D9FC, 0x5460133E, 0x4244EE5A, 0xEF5A259A, 0x3439461B,
0x6B940B05, 0x59E94484, 0x5062B45E, 0x859B9363, 0xFDE48194, 0x325362D2, 0xE460FB46, 0xD78B98E7, 0x64A3D346, 0xE5B06277, 0x9F655A41, 0x676B5302, 0xEA950B7D, 0xFD158A, 0x775362B4, 0x75C21938,
0x861EB9D2, 0x589532CC, 0x1025190B, 0xD46B06FF, 0xB50E7C44, 0xCDD7A372, 0xB5B96100, 0xF2B491A1, 0x5E9960F4, 0xF1CC582E, 0x89C99575, 0x7AA1475F, 0x7B66C124, 0xD0D681EF, 0x44156E08, 0x8F1F1056,
0x6E67D240, 0x9A4C4951, 0xD451E4A7, 0xEA941B13, 0x7E470070, 0x85422E7F, 0x5B9690FE, 0xDE06E626, 0xC8854A15, 0x5A05ED4D, 0x80F46E1B, 0x9011F302, 0x4493D2D8, 0xE50D9D68, 0xFB764400, 0x64D1816F,
0x9965A616, 0xBF011811, 0x155B0252, 0x3D9DA411, 0x58D96D90, 0x5FAC14F, 0x34E09F47, 0x7470303D, 0x35316E5B, 0x84782D19, 0x6074B114, 0xDF85124F, 0x5B47B723, 0x91327673, 0x31A3C548, 0x6D04F9,
0x65DA62CC, 0x779B6270, 0x9037699, 0xD59A061B, 0xD140F5D0, 0x546F04E5, 0x197A6193, 0x150F46FA, 0xE0592151, 0x54A9D0DB, 0xAA55D851, 0x50616F64, 0x35307994, 0x1198C72F, 0x472E79D1, 0xFF01981,
0xF6195AFF, 0x58E66219, 0x69D3D67C, 0x3395C832, 0x5DA31DFF, 0xD66E7583, 0x802979D7, 0x1C419805, 0xA596916A, 0x6A464414, 0x64702547, 0xD31AB704, 0x91E6C21B, 0x41AF55, 0xC600DF64, 0x2D162960,
0xD0D9AC64, 0x921C6378, 0xD0051C18, 0xCC26969C, 0x3C856899, 0x56A9D3A3, 0xC8CCD966, 0xB42552E2, 0xFF055B5B, 0x4AC7E641, 0xE747D0DD, 0x45A5F75D, 0xFD960205, 0xA60391FD, 0x5EAD8484, 0x13D0E563,
0x11011BBF, 0xF4A4414, 0xCB5D0939, 0x1D6DE804, 0x2D6DF850, 0xB7E11431, 0x8B253410, 0x24D7A918, 0xA6591F6A, 0xFA0545, 0x10D3421A, 0x4E4CE453, 0x99C48C3D, 0x71D1C0F, 0xB4B94045, 0xE0815D05,
0x9D854214, 0xF5F06136, 0x1A58FD15, 0x4742A650, 0x7E66464A, 0xCAC5D1F2, 0x99A91441, 0xB06115FB, 0xC0F43522, 0x9CE9CDC8, 0x59EA404E, 0x5B42A707, 0x16914BD, 0x872DF087, 0x4114AE9E, 0x3B1284FE,
0x5E5E5808, 0x4680D66C, 0x364246C2, 0x65C2462E, 0x421C78A1, 0x1EB8D5EA, 0x28F24C55, 0x5021670B, 0x90BD7875, 0x71385CCA, 0xE7F07411, 0x1F11A366, 0x5FDFB852, 0x4C4DE05A, 0x9E0D9AD6, 0xE0953C84,
0xE5CC0641, 0xE01BF406, 0x51E4072A, 0x4D66B8B5, 0x272DAD04, 0xF2C3986D, 0x6D680158, 0x464B0755, 0x550047FB, 0x74B41D1, 0xAF58676C, 0x7A655241, 0x64B9505B, 0x4D1D4D8D, 0xFFA5909B, 0x2F0754C1,
0x4052256D, 0xB9D68609, 0x66615EB, 0x8A3D64D1, 0x2392D1E5, 0xF0A15ABD, 0xF7375B01, 0x699291A1, 0x607D0154, 0x6F19CDC6, 0x869DAC51, 0x11164726, 0xB0B50B1A, 0x9550E320, 0x257FF450, 0x3264669A,
0xDF5D405B, 0x819855E7, 0x6B97C0A4, 0x88394945, 0xBCF14411, 0x6ED499, 0x570193E3, 0xFA346401, 0xF479095, 0xE6E6850B, 0xB2F1615, 0x95E2160, 0x144D8A3D, 0x3932D186, 0x5B64F801, 0x1F0746E7,
0x1443EF98, 0xE8444E49, 0x4740EB50, 0xB9035B58, 0xD3D21B3E, 0xB8767699, 0x67D78366, 0xBD1187CB, 0x6C5C0C1C, 0x906D3E13, 0x9E1E6C49, 0x400598ED, 0x529106FD, 0xB4C10D2D, 0x740DC334, 0xE99458A0,
0x94C8D572, 0xD7D18228, 0x13E566E, 0x1BC3D629, 0x63136172, 0x51A1B10, 0xF305F4E0, 0x679F6813, 0xD38356EA, 0xD669C856, 0xC5CE5A4, 0xC738CB74, 0x567DB480, 0xA65F9440, 0xE207176B, 0x9D5E4A88,
0x1EFD6440, 0x1095738A, 0xF005646E, 0x19E1870, 0xEC481545, 0x2E598105, 0x55F7439F, 0xDBDB41A1, 0xE64F995, 0x6A9164A9, 0xA5191E04, 0xF4D1413C, 0x646EA056, 0xE3911263, 0x20117A65, 0xF9059304,
0x48366754, 0x12166B67, 0x868A677, 0x46DB80C0, 0x1878D69A, 0x60D26DC1, 0x405EE804, 0x84D990BF, 0xDAD54606, 0xD93365CC, 0x93B2971B, 0x31269151, 0x5F0E58C2, 0x19B96390, 0xA1AD444, 0x90286D94,
0xB1D10B7E, 0x40FAA451, 0x8276815E, 0x8669F400, 0xB5A61B12, 0x65FC9B8, 0x446AA55, 0xA11D8378, 0xAD9F4468, 0x21266E1E, 0x868544FC, 0x67520318, 0x858DD0EB, 0x86D4906F, 0x51D3A9A6, 0x9767857E,
0xD6C99C68, 0x33CC2667, 0x660795F4, 0xD1F10155, 0x86D90D16, 0xE66A1603, 0xF5F86440, 0xE98E4504, 0x17424B9A, 0xB0839F59, 0xE70438F0, 0x432A7560, 0x92D89FC5, 0x37C42399, 0x11617570, 0x249605BE,
0x101BE265, 0xEE905053, 0x4540DA59, 0x9729A4FF, 0xEE850607, 0x9FD15248, 0x50E5B323, 0x7579F946, 0x498459AF, 0x919C2C1E, 0x6AD78374, 0xB1647421, 0x9EE0B603, 0xA6D35E9, 0x96696C9E, 0x587A5003,
0x49454A9, 0x6D6D9393, 0xC98677E9, 0x4095C2EF, 0x9C608505, 0x15940C2C, 0x5B60D2DB, 0x1C8151A9, 0x60F491D2, 0x2B670453, 0x4F1964BA, 0xB4430B51, 0xA9860454, 0xB0E41E46, 0x1406B7E3, 0x562701E4,
0x20D1F6A1, 0x5352A966, 0x64E1D62F, 0x92C6ED07, 0xF882561B, 0x99195A04, 0xC934E3AC, 0xD9B91810, 0x474B04F4, 0x3D9A66, 0xCA9C10AF, 0xE1942916, 0xA125355, 0x32295C8C, 0x675A64E1, 0x9D906494,
0x6C60EB1F, 0x7874C1BC, 0x1CB53038, 0x56D0F9D1, 0xB1EB954, 0x7C781540, 0x5323619E, 0x6FE055A9, 0xE7440D22, 0x7431A347, 0x6F1BE146, 0x1015BF00, 0x62381905, 0x7025B440, 0x176AF050, 0x5D270EF1,
0x46AF4C18, 0x4B86D9ED, 0x8B177010, 0xFAD09606, 0xBFA15E50, 0x4701D72D, 0xA298A55E, 0x865CA950, 0x9B5B1227, 0xE0B9175, 0xF481F1FC, 0x7E5D0440, 0x1A697FE5, 0xDE84C5F0, 0xF9975303, 0x4CB46C54,
0x3ED0D666, 0xE6B07065, 0xF0661263, 0x117C93A0, 0xD56DB4E1, 0x2E5E0E5D, 0x873DE11F, 0x5512413E, 0x5E9CE404, 0xB4C10B7F, 0xF990E956, 0x84C95E95, 0xB5E04B1F, 0x86815BA5, 0x7A5CB26C, 0x42F41F91,
0xF4592E03, 0xF51F1300, 0x99D7810F, 0xB16051A7, 0x5B57B03E, 0xEE590B55, 0xC014FDD6, 0xF9C04505, 0x1A669669, 0x984C5F84, 0x1A6FD2E3, 0x1A075E5, 0xD80E450C, 0xD66942B6, 0xD050E31F, 0xBA605440,
0x50E7856A, 0x406E53EF, 0xF01191B, 0xBF055243, 0x9B25E9E7, 0xF892A157, 0x2D598957, 0x85896B6, 0xEF44584B, 0x170667FB, 0xD1017F38, 0xCEC58687, 0x443C6C99, 0xB5B83D3, 0xFD05D91B, 0xA6D72DD3,
0x6C98D9D0, 0xD66990E0, 0xDE850B0F, 0xE9964609, 0x8605B94B, 0x6DC0D196, 0xB194A5, 0x6F13424D, 0x9ED13215, 0x7064249F, 0x5751E0B0, 0x166F26D6, 0x559EC2F8, 0xE12C5C71, 0x59898D15, 0xBC015A05,
0x90D18B0F, 0xB0E8649C, 0x170B98D0, 0x8181F491, 0xD990498C, 0x76312925, 0x93B53402, 0xCC1C4B54, 0x2F3F5006, 0x56EC4F10, 0x1AE501E4, 0x6F4D40DB, 0xA3525D69, 0x1329E491, 0x400AF995, 0x2D5C4806,
0xB091667D, 0xCC6C1627, 0x425CD9EC, 0xF552931A, 0xA6D46580, 0xF4AE50E0, 0x1979909A, 0xF1750058, 0x3365CCD9, 0xBA166500, 0x86779739, 0x67F2611, 0x55109A0B, 0x51016A65, 0x1160BBF, 0x5A6C1401,
0xC4DC9984, 0x33534244, 0x4057113A, 0xF1F431C1, 0xF8A44BE5, 0x1A976851, 0xB9B5C28F, 0xFE099454, 0xB065B8B5, 0xC0217707, 0xF3831BD1, 0x9757401B, 0x1D293580, 0x7A951200, 0x20615AF5, 0x6272757,
0xE0FC2907, 0xD860B5C1, 0x985F89C, 0xC25C2C5F, 0x7F941C01, 0xA95A450A, 0x44D89A95, 0xCE1C0C58, 0x194184F9, 0x579BB371, 0x90111F40, 0x5F037075, 0xBB516996, 0x4EC9791, 0xCCEC9C44, 0x5D8404F8,
0x48FE9D1, 0x4792E3E2, 0x6F35E381, 0x5F0350FB, 0xFF6C56, 0x6050A5F7, 0x589625C9, 0x8F79061D, 0x11D0421F, 0x9061F184, 0x504662BE, 0x8FC7D190, 0xB4404627, 0xEA1F1B03, 0xAF59D0EA, 0x79E50E04,
0xCF80445D, 0x4191D38B, 0x8F51328, 0x6653E282, 0x8C5C3573, 0x90E05929, 0xC5910D2B, 0xAE479D46, 0x2F7C1610, 0x24B1637E, 0xCB001F55, 0x118384B5, 0xA3421710, 0xAA0725F4, 0xE9C0959A, 0xE5E74114,
0x4A44CB25, 0x1763BD90, 0x1B095404, 0xCF09D095, 0x5B8344AC, 0xC5C0F9D1, 0xA7615441, 0xE990474B, 0x63536723, 0x1E305BA6, 0xE56B066B, 0xCA817916, 0x9F798578, 0xD7692E06, 0x56F01481, 0x37215100,
0x17111401, 0xF890F955, 0xA68D68D6, 0xD64A06F0, 0x9F65D9D2, 0xBE90095F, 0x9967072F, 0xE01C947B, 0x12235709, 0x589DFD, 0xBB154A41, 0x2D5DC01F, 0xC58B5C08, 0xCB64DC4C, 0x9F9393AC, 0x7303467E,
0x599EC984, 0x46E111FC, 0x7A679404, 0xA90647FB, 0x40EE949A, 0x77076E08, 0x10736423, 0x53D90AB, 0x1F510BB, 0x85CC253A, 0xAA905666, 0x45EC0B4, 0x835121F1, 0x2E5A4247, 0x1D8664A0, 0x51442CE0,
0xDD88451E, 0xE85C0113, 0xFA409601, 0xA4211627, 0x459F50BA, 0x984C458A, 0xE65A60D7, 0x958143B2, 0xD3835BFA, 0xF727F110, 0x4F074354, 0x11113D3D, 0x1558312B, 0xFF08E6D6, 0x89BC5910, 0x99F99287,
0x40D4183F, 0xDA66A550, 0xA45CE279, 0x7F97A251, 0xB1B025F, 0x70772265, 0xF0E21E16, 0xE79959B5, 0x496669C6, 0xECD00716, 0x5619ECE1, 0x6E5C11F, 0x1101FFF8, 0x55A01DCB, 0xA5053970, 0x3D448855,
0x9F92E540, 0x35B8A4D0, 0x84119CA7, 0x5429406F, 0x90E05B56, 0x3752E1D8, 0xE1B42D87, 0x9454B0F1, 0xDD382505, 0x1904ED6F, 0xD94D0C58, 0x7C52031F, 0x14B06706, 0x79928799, 0x40149BC7, 0xE9DCD6D0,
0x104F4D1, 0xD9663448, 0xBD85D003, 0x358CCDA3, 0x66F5412B, 0x6E65066A, 0x6E19B161, 0x55D1AA50, 0x785C9D30, 0x162530BE, 0x7AE64548, 0xA51B9B0E, 0xF9A56400, 0x32CE35DB, 0x17285370, 0xB0117B76,
0x7CE04741, 0x9D0C51A4, 0xBF004D55, 0xAAD5AC11, 0x6599CB41, 0xFBD09444, 0x936291E5, 0x2D5EA056, 0x1129656A, 0x7FC09506, 0xD44149C8, 0xBA750352, 0xD2431943, 0x7967E182, 0xB813C497, 0x24219465,
0xC43C9169, 0x6FD81483, 0x6152E3C, 0x59947B6, 0x27F90D12, 0x54046D2A, 0xD521309B, 0xE6653921, 0x9164F4F1, 0x1521FB4A, 0x61C54C38, 0x416484BF, 0x2776B11F, 0x59A9D884, 0xED806B54, 0x1BB0D59B,
0x4E8D91A1, 0x782FD131, 0xC05A0377, 0x7A121126, 0xDFC5D0E0, 0xEF859E05, 0x7BB60515, 0x5DD26D89, 0x2E291157, 0x9F2F3530, 0xC08156A9, 0x6D91CDC5, 0xF1548117, 0xB52517FE, 0x2053E947, 0xAB5785C5,
0x479A91E0, 0x9F90FE01, 0x312484DE, 0x441BC1A5, 0x66B501F5, 0xC4617A5B, 0x916BB0F4, 0x20657C7A, 0xE25390FF, 0x1F3861B4, 0x550586AF, 0x6B8599D4, 0x9F4294EC, 0xF4D48147, 0xD0965233, 0x1E05CFED,
0x59176903, 0x2D2976C, 0xCD33338C, 0x1441E4AD, 0x4196C088, 0xF6079403, 0x969DC030, 0x64990D29, 0x2453F372, 0x8658909B, 0x458046FB, 0x11A185C4, 0x58FC1144, 0x31E641A, 0x8E47709E, 0xF1611277,
0x61F907A, 0xB7100F5C, 0x5A170B19, 0x160557E, 0x55B39D0, 0xC0C556EF, 0xBBF50299, 0xD1D23E12, 0x69588543, 0x4546890, 0x90FA4115, 0x11C5ED8, 0x68B74789, 0xC06F0117, 0x172790AD, 0x606DAC54,
0x8D488154, 0x8444EC98, 0x9A6592D3, 0xE5E15040, 0xDB031762, 0x2F099450, 0x404F0F5A, 0x1D09E9F4, 0x56045E1F, 0xF9C99F00, 0x136C6599, 0xB0C36E91, 0x1C2835B0, 0x60BE6B5, 0x462FB4D1, 0xCB19B6D7,
0x6C48C4D9, 0xD0D19B69, 0xA5E544FC, 0xE4851E31, 0x41E464B8, 0x59C6F9D4, 0xF0A6527E, 0x5333D1E0, 0x4862F606, 0x72370631, 0xC2B490C5, 0x4643DE5C, 0x54F9C489, 0xFC526C40, 0xB0A56895, 0x45C1C134,
0x768F1981, 0x6E295005, 0x950B6964, 0x4B4CD5E9, 0xEB131245, 0x447F844, 0x131B1D76, 0x99981A7, 0x500B1F0A, 0x91011B1B, 0x64E64709, 0xA45C8145, 0xB53001D1, 0xDB462885, 0xBE06D015, 0x4858541B,
0x6C86C3B5, 0x70A1967B, 0x969B0414, 0xEF485C04, 0x7FE151C1, 0xEBE7F444, 0x5341990B, 0x71D58060, 0xF5A61E10, 0x79F2C53, 0xE5E41F00, 0xBFF4505, 0xE01BB4E9, 0xBFE3905D, 0xDB7664D0, 0x956A065B,
0x12894E1, 0xBF14B401, 0x30F7A97, 0xA85C97E0, 0xF40643E9, 0xF8506706, 0x9B9B06AB, 0x5AA05995, 0x45448E3D, 0xE1D1907F, 0x24F4C22C, 0x82C2959A, 0xBF065243, 0x8785812D, 0x9A94A916, 0x315B2C60,
0x523291D9, 0xF2991609, 0x2830579C, 0x999973CC, 0x4B14C098, 0xC1C5053, 0xD1C1C68A, 0x64B67F3, 0xD09B801D, 0x6A7C1044, 0x48580954, 0x859F095A, 0x46533620, 0x592C852D, 0xA5419141, 0x4D16A1D0,
0xB0B153B, 0xE1944E4A, 0x21371633, 0xCEC9C4E4, 0xA5D70E08, 0x4E4C4DD, 0x591CAC04, 0x5B021DBC, 0x9967CC33, 0x81C0E5FD, 0xF651C104, 0x966760C9, 0x95E1303C, 0xEC5C6440, 0x50BF9F4, 0x3561C31E,
0x45A096AD, 0xFF92500B, 0xF6598904, 0x19F9C50B, 0x60C64D18, 0xD640584F, 0x2194E1F3, 0xF031163D, 0x101B56E0, 0xDE5921DA, 0xBF01FD1, 0x706FD94, 0x34CB30CE, 0xB857061C, 0x5225B609, 0xC43C3135,
0xC03B9350, 0xF001676F, 0xF0C18767, 0x6611391B, 0x4F89A46, 0x1F42441A, 0x649F0F46, 0xB5E0015E, 0x7966830E, 0x9740F4F7, 0xC8CC4451, 0x59BD404B, 0xCC9435E1, 0x3B15B2A0, 0x123C1607, 0x59468D90,
0x40E0D749, 0x14C1F46E, 0x448BD6A9, 0x659AF556, 0x50E7435B, 0xAED2933C, 0x56051308, 0xCE146E50, 0x1C904F10, 0xEC485E0D, 0x169A936C, 0x51633605, 0xDB57A830, 0x62957AB, 0xF4F14448, 0x45CAD5D,
0x695CC006, 0x104606B9, 0x81D1D86D, 0x8649F050, 0x20D1DB56, 0xE5E53CC0, 0xCB470256, 0xC629E494, 0x49385F8F, 0x65056E31, 0x9C86F095, 0xC8CC9865, 0x869D8118, 0xD1021F11, 0x87DAD1E2, 0xAF04D500,
0x4518464, 0xB857B085, 0x4505E834, 0xB1E25F04, 0xD8DD9084, 0x35978C33, 0x11A64257, 0x991A1E41, 0x66B06752, 0xBAF41443, 0xBD4A4544, 0xD6753B66, 0xCAC6C639, 0x154480FD, 0x99D19BC, 0x546EE442,
0xD0C0193E, 0x7491E21F, 0x24B0B3C7, 0xF981D501, 0x74438B58, 0x54C47391, 0x9EDD1180, 0xE697874F, 0x2E41F8E5, 0x468FDD9, 0x4F1E439C, 0x5542EB81, 0xA554FAE0, 0x1E43E2B0, 0x606D5898, 0x6587C4E8,
0x6B86C511, 0x6050A6D3, 0x1C523485, 0xF2530396, 0x4A2D5884, 0x6FD09193, 0x29978F84, 0xFE490999, 0x9189675E, 0x99277401, 0xDD6F2494, 0x8CD39344, 0xB5783D9, 0xC859EE, 0xAC701503, 0x8FC1D7E1,
0xA0854317, 0xD09E8444, 0x4510F2BD, 0xED484CD4, 0xDE5D0C1C, 0xC0854367, 0xD1642134, 0x503876E, 0x7C046A5E, 0xE5644035, 0x3D043173, 0x5DE8991, 0xA603D6D0, 0x70644B1B, 0x41C3F55, 0x799EC50,
0x5C1D005A, 0xB54027BB, 0x501703FB, 0xCE5E2D84, 0xC248776B, 0x34C31DB1, 0xD08146F6, 0x6194D488, 0x902D95DF, 0x56239699, 0x79566996, 0x46366797, 0x2075B449, 0xE619904B, 0xF1FC491D, 0x4026925F,
0x85CE994, 0xC62D651B, 0xE0F50B4, 0x60976F55, 0x5B7706A6, 0x49471F41, 0xF6D91352, 0x551A062F, 0x4145CFCA, 0x55B14234, 0xABF12531, 0xB915F0F4, 0x8AC7E275, 0x4679C12F, 0xE21353EC, 0x693602A5,
0x4BC256AB, 0x463D64A6, 0x5E7C6B8, 0x143983F0, 0x3646871A, 0x601D1FE, 0x4D4601FC, 0xB489D0DF, 0xF7814046, 0xE5A50BA7, 0xB34A116, 0x707C4151, 0x804466BB, 0xCF450C5C, 0x1329B9F4, 0xFE400655,
0xF4A1431B, 0x51D3202D, 0x74B0A444, 0xA6F1612, 0x6C584C8C, 0xC014F665, 0xD3982957, 0x36C136D1, 0x5C45CCD0, 0x9F459882, 0x91A753A2, 0xA9752C4C, 0x421B4297, 0x776A2313, 0x35397906, 0x48065762,
0x1129B440, 0xAF410B5D, 0x7F9582D2, 0x4B51E650, 0x891D0D77, 0xE59909E5, 0x705D234B, 0xC3DA9055, 0xF1B11501, 0x44BC94D9, 0x1FA55C48, 0x2A422657, 0xC41091A1, 0x18970E74, 0x7699099, 0x10616AD7,
0x1AE19F10, 0x475A6C31, 0xA27257E9, 0xC484582C, 0xD699665A, 0x17C94C18, 0xE1569B, 0x11855ABF, 0xA580D607, 0x64C18B7E, 0x7030A605, 0x2B3660D0, 0x165BE103, 0x809E1867, 0x47407FD7, 0x34E4858B,
0x90ED740B, 0x1B43C2F5, 0xF451527C, 0x5723E1C5, 0xE1D1065B, 0xA51A9DF4, 0x7F099A85, 0x4157030B, 0x1D9F60B8, 0xC11491FD, 0xFE850A55, 0xB990431F, 0xA0C78D16, 0x6F5A4D40, 0xFE4411E, 0x34426B56,
0x5014FE0F, 0xBD5DC51A, 0xC63637C3, 0xE1B459B2, 0xFA871B05, 0x4544D0AD, 0xE5E5093D, 0x3306C5DD, 0x47C33484, 0x6F1E146, 0xE4974F1, 0xDD48050F, 0xAB151E12, 0x5169FC92, 0x5055B27A, 0xD142AD5C,
0x4B16B0F4, 0x312BC955, 0x75B10FC, 0x4A9E0458, 0xA65D34CE, 0x90D366CF, 0x10099D29, 0x8B358419, 0x87D2B5DA, 0x31162EF5, 0xF61989C5, 0x1F4341F8, 0xBC4C6D9C, 0x11A759, 0x9553A21, 0xCFC41530,
0x1F05B610, 0x5B2F64C0, 0x117F1124, 0xF3D24D9, 0x44447874, 0x74351A06, 0x64C48979, 0x63C185B, 0x91F094A4, 0x4E1D1C48, 0x969103AE, 0x9CFC6067, 0x2FC94045, 0xED3844C4, 0x676C935B, 0x6E2091B5,
0x2D9744EC, 0x6A111227, 0x78DB90E5, 0x8045587E, 0xC4E4591E, 0x479BE1E0, 0x5B667499, 0x50E0493E, 0xFB54819C, 0x431491F8, 0xD3EF50E0, 0x7363926, 0x50FF6440, 0x44DC6C9D, 0xF6D9965A, 0x548499,
0x150A1403, 0xC7324CC7, 0xAFF0474B, 0xB479966E, 0xAD9E5451, 0xF9913C41, 0x1F09B46, 0x3E35461E, 0xA0C66C10, 0xA4D1D103, 0xA05470B4, 0x6F1A3531, 0x4047B2F5, 0x11472CE0, 0x3AE41631, 0xFD36A905,
0xF4436F91, 0x4A419766, 0x50699E67, 0x5408D93D, 0x112711AF, 0xF500642F, 0x160BD66A, 0x11B0BFE, 0xC2C55CA1, 0x31CF859, 0xC6C95401, 0xD9C0E5C1, 0xE46056AE, 0xF5E30710, 0xA5FF0150, 0x4454203F,
0xB6660959, 0x2522776, 0x2D586970, 0x7370757, 0x60953317, 0x81E7072D, 0x68149E6, 0x653834, 0x363D9D81, 0xB429113F, 0x566C0258, 0x51F92F00, 0xE19C5812, 0x11FB150, 0x59A65200, 0x2775E0F4,
0x106752A3, 0x7574326, 0x5CC34739, 0xDAD54805, 0x5E936BC7, 0xCFCAC5C9, 0x2FC42555, 0xD06994C0, 0x5CAC7400, 0x5D84D074, 0x6D668604, 0xE50B19BD, 0xE7969F55, 0xFF925005, 0x65B266B, 0x4743035E,
0x972C44C7, 0x5AB47260, 0x77123580, 0xD92DB404, 0x451BB8D1, 0xB94B4447, 0x9B955210, 0xA253815, 0x79AC5184, 0xE3D10C5C, 0x452410FB, 0xDFD3A148, 0xE0336E46, 0x4E287599, 0x12B750A9, 0xDAC0DE47,
0xC18459A9, 0xC764CD30, 0x2334675E, 0xF6490DB8, 0x49172679, 0x659B6994, 0x7A912691, 0xB2B76074, 0xB9E58704, 0xCC33D9A9, 0x207F6A7, 0xC405F801, 0x560297CF, 0x48140E5F, 0xC44E676A, 0xB191DED,
0x11035F60, 0x5B1F60B4, 0xA4EB1443, 0x5A6C06E6, 0x1915AE9, 0x33CD2696, 0x879F4444, 0xD442170B, 0xC9C9D9D6, 0xA1D4C124, 0xC40366B7, 0x22497E9, 0xCD18D7F9, 0x99FD111A, 0x9F6B53A1, 0xE051ABFC,
0xBC10071D, 0xA566A759, 0x6DBC5E5, 0x4A9DA851, 0x2266B15, 0x123D6E9B, 0x66E05449, 0xD10D3870, 0x1706E462, 0xAF0B9B51, 0xE0109D6C, 0xF144861B, 0x813ED01B, 0xB6496C10, 0x1ED00768, 0x60747C10,
0x46494376, 0x5E4C10B0, 0x573D5906, 0x5A02E5FE, 0xB3E005F2, 0xC05C4F45, 0xDBD58982, 0x6D13171F, 0x9741FA00, 0x61DB852, 0x8D46D299, 0x47421E4D, 0x74A94E6, 0x4DA31CD3, 0x681602FF, 0xC67962D7,
0x1560BBA, 0xF8849D85, 0x7DD6D5B8, 0x5B6B4640, 0x441A349F, 0x61B3601F, 0xD550E2D3, 0xCF18111B, 0x97673333, 0xC59909E4, 0x57DAE840, 0xBB910E5, 0x144484F9, 0xA85C2511, 0x4092D5EA, 0x89910391,
0x7D385500, 0x3D1D2176, 0x802FD41B, 0xA5D94890, 0x656E9099, 0xE66906E6, 0x4331A2D5, 0x4478E25B, 0xE78C41D, 0x3565D979, 0x4147133B, 0x89C6C64A, 0x45C9CDCF, 0x532315FA, 0x3E5A0D04, 0xB111DBFC,
0x63162FF7, 0x9E0B9CD0, 0xA758E46B, 0xA097421F, 0xAE544262, 0xA59A5DDD, 0x3732261D, 0x71736790, 0x8895A173, 0x687470B1, 0x57E564FE, 0x6A765404, 0xF5E21482, 0x667150E1, 0xC0A764D9, 0x89950C14,
0x3756912B, 0x3913499, 0x6FB553C3, 0x29920995, 0x750EC738, 0xC35C6992, 0xAA55E404, 0xCB4B0753, 0x20396156, 0xDB04F4C1, 0x7876825F, 0xD562319A, 0x592D121B, 0xF9360956, 0x47811B47, 0xD9BD5884,
0x170A35E, 0x844EE59A, 0x8684EDDA, 0x405F1000, 0x813641A7, 0x176681A2, 0x7DBE6440, 0x87C6A54, 0xC485D905, 0x1AB0811D, 0xDBA59291, 0xFA52817C, 0x3981E5F0, 0x5109FEE5, 0xC1284557, 0x573B2703,
0x30640659, 0xF1D3E997, 0x906253B7, 0x9076C3FD, 0xCA34D35C, 0xF481491C, 0x5976A4C0, 0x3FF1144, 0x26170649, 0x196B9065, 0x90693D09, 0xF0211A17, 0xAF016DD4, 0x4E449C48, 0x6F9A84F4, 0xB4449818,
0x606DB144, 0x916B97A6, 0xEBD0FD19, 0xAA08D541, 0xD71BE505, 0x1E6507AF, 0x3E4B1361, 0xF391619, 0x4264BC50, 0x60563321, 0x4A370617, 0x436452E7, 0xBE107604, 0xDDA9C18E, 0xBF5B0371, 0x906F1107,
0x55C5C83C, 0x31364782, 0x68DD9F1, 0xF99607E6, 0x2996367E, 0x5AF4458, 0x96582D30, 0xC4E4D98A, 0xE68719BE, 0x20C56C64, 0x5A550246, 0xB759B079, 0x64439BFB, 0xB1240D2E, 0x271350B2, 0x4314AF56,
0xA9998D72, 0x5E8D1481, 0xB65D7253, 0x669392B8, 0xF0919B6C, 0x9F9790DD, 0x60979838, 0x3D625168, 0x12196D58, 0x59E9448A, 0x30547C92, 0x8E317590, 0x7B954843, 0x323D4907, 0x5A4D5308, 0xD10490DB,
0x92CE4511, 0xB9353125, 0xA91F4050, 0xDC485D08, 0x2F11742, 0xB9B4090F, 0xD09891FF, 0x9503936, 0x80E3505F, 0xED99405F, 0xEA9058DE, 0x55019FC0, 0x9A1F412C, 0x471660DA, 0xF4D0C505, 0x4926666D,
0x4191C3EF, 0x1A0526F5, 0x55F889C7, 0xD33CC738, 0x7A66C601, 0xF701C662, 0x6E953906, 0x6E6559AD, 0x1626C57A, 0xE0075266, 0x67069A5B, 0xA5F70401, 0x47786090, 0x8111C53B, 0xB4640B1A, 0x269D5DAE,
0x50C4A474, 0x2A94987D, 0x44C05226, 0x6114423F, 0xB8474F1D, 0x8E0E05D8, 0x87B40FD2, 0x1F4392FD, 0x170E995, 0x1563DE0, 0x6F9AC5CA, 0x752A0D1D, 0xFF0A44D0, 0x7FD0D366, 0x51A62E05, 0xD0D5E8DE,
0x56113F30, 0xE4056D87, 0xAB3B5100, 0x46539C6, 0x7F676290, 0xB851130D, 0xF5E09183, 0x64AC5D2D, 0x55F9404B, 0xE256F977, 0x70617760, 0xEE48E450, 0xDD5E35C8, 0x94D400F8, 0x446A0667, 0xEA935184,
0x464B07F8, 0x8C74B6D4, 0x8D9D59A5, 0xCEC6ADD5, 0x2D0956A3, 0xA5BA5103, 0x31353123, 0x55FF4140, 0xA2440F15, 0x89266792, 0x44E1E154, 0xE5B41338, 0x2FCE9901, 0x95E6811B, 0x475C871, 0xAE9E4A44,
0x5E0D141, 0xE702D66B, 0x474707E2, 0x6486CBC5, 0x7476016E, 0xB1D29B56, 0x7A34C605, 0x51427906, 0xE7967F97, 0x65D29C90, 0x55081AD, 0xD6E64045, 0x67134368, 0x9101E6DD, 0x68957841, 0x3D3D5909,
0xE0525BAF, 0x134A4D3C, 0xC1B11909, 0x16493B76, 0x6B96D0A0, 0xBF0E79D6, 0x2C7096F9, 0x90FC04D6, 0x1742E472, 0x531CA1AC, 0xDAD08646, 0x9066669, 0xA7588D86, 0x913C54C2, 0x742A4514, 0x17111ABC,
0xDDD7EDE5, 0x6699C498, 0x75313135, 0xE4995F64, 0x2582667E, 0x9C5C4C48, 0x1D0D10D9, 0x5B4C164, 0x46E616CB, 0xD18444BF, 0xE1D4695C, 0x40095E99, 0xECE02955, 0xFF40A411, 0x54D2421B, 0xE1C7DB05,
0x80E5095D, 0x6745E907, 0xA6197007, 0x760674F9, 0x1522170A, 0x65181FF, 0xE0FDA45, 0x521C7867, 0x6B91D382, 0x657A83C1, 0x73C98C35, 0xB3CC31D6, 0x164B257B, 0x6F9605F9, 0x52F49EB5, 0x87592907,
0x1B10D6F8, 0x949FD54, 0x910315BA, 0x40F09B47, 0xB761C144, 0x6D039D5, 0x59B113F, 0xE5C6D9, 0x176990FB, 0x90F8A465, 0x6DB8D144, 0x4552E392, 0xC94396B9, 0x36315A97, 0x7E874215, 0x40116F6F,
0xDF193401, 0x70689317, 0x7E021740, 0xD5C044BD, 0xF1636E94, 0x5B0D34A1, 0x1027F689, 0x44A45590, 0xD443035F, 0xD7A4418C, 0xD949F480, 0x84C1E154, 0x6090966E, 0x40B56C1E, 0x9669C540, 0xA6305505,
0x1667E244, 0xC245885D, 0xD504A5E, 0xA4F0C549, 0x358472A8, 0xC414BF20, 0x43369729, 0xB1112711, 0x78644352, 0x811CB856, 0x6F9792F0, 0x1E1E4195, 0x62C58C14, 0x2619D3A2, 0x998056BD, 0x653F3410,
0x919184E4, 0x64906D6C, 0xE3D7996, 0x47660563, 0x50A91F03, 0x49F8C5CB, 0xFE15235E, 0x9783451, 0x716257B7, 0x1AB5351, 0x1710DC84, 0x3FA01D5A, 0x9844AD64, 0xE4D901BC, 0xEE546352, 0xF9547987,
0xF6834B47, 0xB651F6D, 0xE09C9045, 0xE491424E, 0x94F9050B, 0x7DA6091D, 0xB5C14D74, 0x123A699D, 0x1F413CC3, 0x9F434158, 0x55D8C8C4, 0x51106FF, 0xD36CB1C, 0x1541FCE1, 0xC3344ED3, 0x3E29D905,
0x150A6579, 0x502475A, 0x454B0F04, 0x65902722, 0x9EA055, 0x26568CC5, 0x7EB1443, 0x42186F96, 0x132357A9, 0x74091F13, 0xEE55480F, 0x7A0B4A45, 0xF01A8637, 0x937D68D5, 0xE2611115, 0x8A853663,
0x60D295AB, 0x1946461A, 0xBB5190A1, 0x6D514218, 0x7C6482CF, 0x8759ACC8, 0x7E86C805, 0x42D3755F, 0xF4C10529, 0x471F1400, 0x5394238C, 0x112D54A8, 0x55E450F8, 0xDC2191BA, 0xA5F93011, 0x1A2159F5,
0x4051A297, 0x66066999, 0xA644C058, 0x54EC9148, 0xFAFB0146, 0x1150FCEC, 0x4141D171, 0xF09F0444, 0x488E5E0E, 0x3D190F10, 0x406E405F, 0xFE9904AD, 0x101F5C6F, 0x454B093B, 0x40946C1F, 0xF0B966D,
0xC16464DB, 0x91E2D6F9, 0x97789074, 0x537C5C40, 0x44A533C3, 0x74102B33, 0x40D425C1, 0xD748C936, 0x786619C9, 0x40917985, 0x66594C1C, 0x2F05D2D2, 0x8C711B4, 0xF9602757, 0x1013854A, 0x7D6296D0,
0x3D99B8F0, 0x495D3243, 0x916864BE, 0x4E43B947, 0xE756A110, 0xA8D09D7D, 0xBF625095, 0xC1D48F87, 0x8BD47099, 0xDB631315, 0xE54139A0, 0xE4DC9C63, 0x846C2544, 0x4F0E04D1, 0xE0B15B26, 0x3249499D,
}

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// basisu_global_selector_palette.h
// 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.
#pragma once
#include "basisu_transcoder_internal.h"
#include <algorithm>
namespace basist
{
class etc1_global_palette_entry_modifier
{
public:
enum { cTotalBits = 15, cTotalValues = 1 << cTotalBits };
etc1_global_palette_entry_modifier(uint32_t index = 0)
{
#ifdef _DEBUG
static bool s_tested;
if (!s_tested)
{
s_tested = true;
for (uint32_t i = 0; i < cTotalValues; i++)
{
etc1_global_palette_entry_modifier m(i);
etc1_global_palette_entry_modifier n = m;
assert(n.get_index() == i);
}
}
#endif
set_index(index);
}
void set_index(uint32_t index)
{
assert(index < cTotalValues);
m_rot = index & 3;
m_flip = (index >> 2) & 1;
m_inv = (index >> 3) & 1;
m_contrast = (index >> 4) & 3;
m_shift = (index >> 6) & 1;
m_median = (index >> 7) & 1;
m_div = (index >> 8) & 1;
m_rand = (index >> 9) & 1;
m_dilate = (index >> 10) & 1;
m_shift_x = (index >> 11) & 1;
m_shift_y = (index >> 12) & 1;
m_erode = (index >> 13) & 1;
m_high_pass = (index >> 14) & 1;
}
uint32_t get_index() const
{
return m_rot | (m_flip << 2) | (m_inv << 3) | (m_contrast << 4) | (m_shift << 6) | (m_median << 7) | (m_div << 8) | (m_rand << 9) | (m_dilate << 10) | (m_shift_x << 11) | (m_shift_y << 12) | (m_erode << 13) | (m_high_pass << 14);
}
void clear()
{
basisu::clear_obj(*this);
}
uint8_t m_contrast;
bool m_rand;
bool m_median;
bool m_div;
bool m_shift;
bool m_inv;
bool m_flip;
bool m_dilate;
bool m_shift_x;
bool m_shift_y;
bool m_erode;
bool m_high_pass;
uint8_t m_rot;
};
enum modifier_types
{
cModifierContrast,
cModifierRand,
cModifierMedian,
cModifierDiv,
cModifierShift,
cModifierInv,
cModifierFlippedAndRotated,
cModifierDilate,
cModifierShiftX,
cModifierShiftY,
cModifierErode,
cModifierHighPass,
cTotalModifiers
};
#define ETC1_GLOBAL_SELECTOR_CODEBOOK_MAX_MOD_BITS (etc1_global_palette_entry_modifier::cTotalBits)
struct etc1_selector_palette_entry
{
etc1_selector_palette_entry()
{
clear();
}
void clear()
{
basisu::clear_obj(*this);
}
uint8_t operator[] (uint32_t i) const { assert(i < 16); return m_selectors[i]; }
uint8_t&operator[] (uint32_t i) { assert(i < 16); return m_selectors[i]; }
void set_uint32(uint32_t v)
{
for (uint32_t byte_index = 0; byte_index < 4; byte_index++)
{
uint32_t b = (v >> (byte_index * 8)) & 0xFF;
m_selectors[byte_index * 4 + 0] = b & 3;
m_selectors[byte_index * 4 + 1] = (b >> 2) & 3;
m_selectors[byte_index * 4 + 2] = (b >> 4) & 3;
m_selectors[byte_index * 4 + 3] = (b >> 6) & 3;
}
}
uint32_t get_uint32() const
{
return get_byte(0) | (get_byte(1) << 8) | (get_byte(2) << 16) | (get_byte(3) << 24);
}
uint32_t get_byte(uint32_t byte_index) const
{
assert(byte_index < 4);
return m_selectors[byte_index * 4 + 0] |
(m_selectors[byte_index * 4 + 1] << 2) |
(m_selectors[byte_index * 4 + 2] << 4) |
(m_selectors[byte_index * 4 + 3] << 6);
}
uint8_t operator()(uint32_t x, uint32_t y) const { assert((x < 4) && (y < 4)); return m_selectors[x + y * 4]; }
uint8_t&operator()(uint32_t x, uint32_t y) { assert((x < 4) && (y < 4)); return m_selectors[x + y * 4]; }
uint32_t calc_distance(const etc1_selector_palette_entry &other) const
{
uint32_t dist = 0;
for (uint32_t i = 0; i < 8; i++)
{
int delta = static_cast<int>(m_selectors[i]) - static_cast<int>(other.m_selectors[i]);
dist += delta * delta;
}
return dist;
}
uint32_t calc_hamming_dist(const etc1_selector_palette_entry &other) const
{
static uint8_t s_hamming_dist[256] =
{
0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8
};
uint32_t dist = 0;
for (uint32_t i = 0; i < 4; i++)
dist += s_hamming_dist[get_byte(i) ^ other.get_byte(i)];
return dist;
}
etc1_selector_palette_entry get_inverted() const
{
etc1_selector_palette_entry result;
for (uint32_t i = 0; i < 16; i++)
result.m_selectors[i] = 3 - m_selectors[i];
return result;
}
etc1_selector_palette_entry get_divided() const
{
etc1_selector_palette_entry result;
const uint8_t div_selector[4] = { 2, 0, 3, 1 };
for (uint32_t i = 0; i < 16; i++)
result.m_selectors[i] = div_selector[m_selectors[i]];
return result;
}
etc1_selector_palette_entry get_shifted(int delta) const
{
etc1_selector_palette_entry result;
for (uint32_t i = 0; i < 16; i++)
result.m_selectors[i] = static_cast<uint8_t>(basisu::clamp<int>(m_selectors[i] + delta, 0, 3));
return result;
}
etc1_selector_palette_entry get_randomized() const
{
uint32_t seed = get_uint32();
etc1_selector_palette_entry result;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
int s = (*this)(x, y);
// between 0 and 10
uint32_t i = basisd_urand(seed, 6) + basisd_urand(seed, 6);
if (i == 0)
s -= 2;
else if (i == 10)
s += 2;
else if (i < 3)
s -= 1;
else if (i > 7)
s += 1;
result(x, y) = static_cast<uint8_t>(basisu::clamp<int>(s, 0, 3));
}
}
return result;
}
etc1_selector_palette_entry get_contrast(int table_index) const
{
assert(table_index < 4);
etc1_selector_palette_entry result;
static const uint8_t s_contrast_tables[4][4] =
{
{ 0, 1, 2, 3 }, // not used
{ 0, 0, 3, 3 },
{ 1, 1, 2, 2 },
{ 1, 1, 3, 3 }
};
for (uint32_t i = 0; i < 16; i++)
{
result[i] = s_contrast_tables[table_index][(*this)[i]];
}
return result;
}
etc1_selector_palette_entry get_dilated() const
{
etc1_selector_palette_entry result;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t max_selector = 0;
for (int yd = -1; yd <= 1; yd++)
{
int fy = y + yd;
if ((fy < 0) || (fy > 3))
continue;
for (int xd = -1; xd <= 1; xd++)
{
int fx = x + xd;
if ((fx < 0) || (fx > 3))
continue;
max_selector = basisu::maximum<uint32_t>(max_selector, (*this)(fx, fy));
}
}
result(x, y) = static_cast<uint8_t>(max_selector);
}
}
return result;
}
etc1_selector_palette_entry get_eroded() const
{
etc1_selector_palette_entry result;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t min_selector = 99;
for (int yd = -1; yd <= 1; yd++)
{
int fy = y + yd;
if ((fy < 0) || (fy > 3))
continue;
for (int xd = -1; xd <= 1; xd++)
{
int fx = x + xd;
if ((fx < 0) || (fx > 3))
continue;
min_selector = basisu::minimum<uint32_t>(min_selector, (*this)(fx, fy));
}
}
result(x, y) = static_cast<uint8_t>(min_selector);
}
}
return result;
}
etc1_selector_palette_entry get_shift_x() const
{
etc1_selector_palette_entry result;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
int sx = x - 1;
if (sx < 0)
sx = 0;
result(x, y) = (*this)(sx, y);
}
}
return result;
}
etc1_selector_palette_entry get_shift_y() const
{
etc1_selector_palette_entry result;
for (uint32_t y = 0; y < 4; y++)
{
int sy = y - 1;
if (sy < 0)
sy = 3;
for (uint32_t x = 0; x < 4; x++)
result(x, y) = (*this)(x, sy);
}
return result;
}
etc1_selector_palette_entry get_median() const
{
etc1_selector_palette_entry result;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
// ABC
// D F
// GHI
uint8_t selectors[8];
uint32_t n = 0;
for (int yd = -1; yd <= 1; yd++)
{
int fy = y + yd;
if ((fy < 0) || (fy > 3))
continue;
for (int xd = -1; xd <= 1; xd++)
{
if ((xd | yd) == 0)
continue;
int fx = x + xd;
if ((fx < 0) || (fx > 3))
continue;
selectors[n++] = (*this)(fx, fy);
}
}
std::sort(selectors, selectors + n);
result(x, y) = selectors[n / 2];
}
}
return result;
}
etc1_selector_palette_entry get_high_pass() const
{
etc1_selector_palette_entry result;
static const int kernel[3][3] =
{
{ 0, -1, 0 },
{ -1, 8, -1 },
{ 0, -1, 0 }
};
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
// ABC
// D F
// GHI
int sum = 0;
for (int yd = -1; yd <= 1; yd++)
{
int fy = y + yd;
fy = basisu::clamp<int>(fy, 0, 3);
for (int xd = -1; xd <= 1; xd++)
{
int fx = x + xd;
fx = basisu::clamp<int>(fx, 0, 3);
int k = (*this)(fx, fy);
sum += k * kernel[yd + 1][xd + 1];
}
}
sum = sum / 4;
result(x, y) = static_cast<uint8_t>(basisu::clamp<int>(sum, 0, 3));
}
}
return result;
}
etc1_selector_palette_entry get_flipped_and_rotated(bool flip, uint32_t rotation_index) const
{
etc1_selector_palette_entry temp;
if (flip)
{
for (uint32_t y = 0; y < 4; y++)
for (uint32_t x = 0; x < 4; x++)
temp(x, y) = (*this)(x, 3 - y);
}
else
{
temp = *this;
}
etc1_selector_palette_entry result;
switch (rotation_index)
{
case 0:
result = temp;
break;
case 1:
for (uint32_t y = 0; y < 4; y++)
for (uint32_t x = 0; x < 4; x++)
result(x, y) = temp(y, 3 - x);
break;
case 2:
for (uint32_t y = 0; y < 4; y++)
for (uint32_t x = 0; x < 4; x++)
result(x, y) = temp(3 - x, 3 - y);
break;
case 3:
for (uint32_t y = 0; y < 4; y++)
for (uint32_t x = 0; x < 4; x++)
result(x, y) = temp(3 - y, x);
break;
default:
assert(0);
break;
}
return result;
}
etc1_selector_palette_entry get_modified(const etc1_global_palette_entry_modifier &modifier) const
{
etc1_selector_palette_entry r(*this);
if (modifier.m_shift_x)
r = r.get_shift_x();
if (modifier.m_shift_y)
r = r.get_shift_y();
r = r.get_flipped_and_rotated(modifier.m_flip != 0, modifier.m_rot);
if (modifier.m_dilate)
r = r.get_dilated();
if (modifier.m_erode)
r = r.get_eroded();
if (modifier.m_high_pass)
r = r.get_high_pass();
if (modifier.m_rand)
r = r.get_randomized();
if (modifier.m_div)
r = r.get_divided();
if (modifier.m_shift)
r = r.get_shifted(1);
if (modifier.m_contrast)
r = r.get_contrast(modifier.m_contrast);
if (modifier.m_inv)
r = r.get_inverted();
if (modifier.m_median)
r = r.get_median();
return r;
}
etc1_selector_palette_entry apply_modifier(modifier_types mod_type, const etc1_global_palette_entry_modifier &modifier) const
{
switch (mod_type)
{
case cModifierContrast:
return get_contrast(modifier.m_contrast);
case cModifierRand:
return get_randomized();
case cModifierMedian:
return get_median();
case cModifierDiv:
return get_divided();
case cModifierShift:
return get_shifted(1);
case cModifierInv:
return get_inverted();
case cModifierFlippedAndRotated:
return get_flipped_and_rotated(modifier.m_flip != 0, modifier.m_rot);
case cModifierDilate:
return get_dilated();
case cModifierShiftX:
return get_shift_x();
case cModifierShiftY:
return get_shift_y();
case cModifierErode:
return get_eroded();
case cModifierHighPass:
return get_high_pass();
default:
assert(0);
break;
}
return *this;
}
etc1_selector_palette_entry get_modified(const etc1_global_palette_entry_modifier &modifier, uint32_t num_order, const modifier_types *pOrder) const
{
etc1_selector_palette_entry r(*this);
for (uint32_t i = 0; i < num_order; i++)
{
r = r.apply_modifier(pOrder[i], modifier);
}
return r;
}
bool operator< (const etc1_selector_palette_entry &other) const
{
for (uint32_t i = 0; i < 16; i++)
{
if (m_selectors[i] < other.m_selectors[i])
return true;
else if (m_selectors[i] != other.m_selectors[i])
return false;
}
return false;
}
bool operator== (const etc1_selector_palette_entry &other) const
{
for (uint32_t i = 0; i < 16; i++)
{
if (m_selectors[i] != other.m_selectors[i])
return false;
}
return true;
}
private:
uint8_t m_selectors[16];
};
typedef std::vector<etc1_selector_palette_entry> etc1_selector_palette_entry_vec;
extern const uint32_t g_global_selector_cb[];
extern const uint32_t g_global_selector_cb_size;
#define ETC1_GLOBAL_SELECTOR_CODEBOOK_MAX_PAL_BITS (12)
struct etc1_global_selector_codebook_entry_id
{
uint32_t m_palette_index;
etc1_global_palette_entry_modifier m_modifier;
etc1_global_selector_codebook_entry_id(uint32_t palette_index, const etc1_global_palette_entry_modifier &modifier) : m_palette_index(palette_index), m_modifier(modifier) { }
etc1_global_selector_codebook_entry_id() { }
void set(uint32_t palette_index, const etc1_global_palette_entry_modifier &modifier) { m_palette_index = palette_index; m_modifier = modifier; }
};
typedef std::vector<etc1_global_selector_codebook_entry_id> etc1_global_selector_codebook_entry_id_vec;
class etc1_global_selector_codebook
{
public:
etc1_global_selector_codebook() { }
etc1_global_selector_codebook(uint32_t N, const uint32_t *pEntries) { init(N, pEntries); }
void init(uint32_t N, const uint32_t* pEntries);
void print_code(FILE *pFile);
void clear()
{
m_palette.clear();
}
uint32_t size() const { return (uint32_t)m_palette.size(); }
const etc1_selector_palette_entry_vec &get_palette() const
{
return m_palette;
}
etc1_selector_palette_entry get_entry(uint32_t palette_index) const
{
return m_palette[palette_index];
}
etc1_selector_palette_entry get_entry(uint32_t palette_index, const etc1_global_palette_entry_modifier &modifier) const
{
return m_palette[palette_index].get_modified(modifier);
}
etc1_selector_palette_entry get_entry(const etc1_global_selector_codebook_entry_id &id) const
{
return m_palette[id.m_palette_index].get_modified(id.m_modifier);
}
etc1_selector_palette_entry_vec m_palette;
};
} // namespace basist

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// basisu_transcoder.h
// Copyright (C) 2017-2019 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.
#pragma once
#include "basisu_transcoder_internal.h"
#include "basisu_global_selector_palette.h"
namespace basist
{
// Low-level formats directly supported by the transcoder (other supported texture formats are combinations of these low-level block formats)
enum block_format
{
cETC1, // ETC1S RGB
cBC1, // DXT1 RGB
cBC4, // DXT5A (alpha block only)
cPVRTC1_4_OPAQUE_ONLY, // opaque only PVRTC1 4bpp
cBC7_M6_OPAQUE_ONLY, // RGB BC7 mode 6
cETC2_EAC_A8, // alpha block of ETC2 EAC (first 8 bytes of the 16-bit ETC2 EAC RGBA format)
cTotalBlockFormats
};
// High-level composite texture formats supported by the transcoder
enum transcoder_texture_format
{
cTFETC1,
cTFBC1,
cTFBC4,
cTFPVRTC1_4_OPAQUE_ONLY,
cTFBC7_M6_OPAQUE_ONLY,
cTFETC2, // ETC2_EAC_A8 block followed by a ETC1 block
cTFBC3, // BC4 followed by a BC1 block
cTFBC5, // two BC4 blocks
cTFTotalTextureFormats
};
uint32_t basis_get_bytes_per_block(transcoder_texture_format fmt);
const char *basis_get_format_name(transcoder_texture_format fmt);
bool basis_transcoder_format_has_alpha(transcoder_texture_format fmt);
basisu::texture_format basis_get_basisu_texture_format(transcoder_texture_format fmt);
class basisu_lowlevel_transcoder
{
public:
basisu_lowlevel_transcoder(const basist::etc1_global_selector_codebook *pGlobal_sel_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_stride, bool wrap_addressing);
private:
struct endpoint
{
color32 m_color5;
uint8_t m_inten5;
};
typedef std::vector<endpoint> endpoint_vec;
endpoint_vec m_endpoints;
typedef std::vector<selector> selector_vec;
selector_vec m_selectors;
const etc1_global_selector_codebook *m_pGlobal_sel_codebook;
huffman_decoding_table m_template_model, m_delta_endpoint_model, m_delta_selector_model, m_selector_history_buf_rle_model;
uint32_t m_selector_history_buf_size;
uint32_t m_selector_history_buf_rice_bits;
};
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
};
typedef std::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
};
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;
bool m_alpha_flag; // true if the image has alpha data
};
struct basisu_file_info
{
uint32_t m_version;
uint32_t m_total_header_size;
uint32_t m_total_selectors;
uint32_t m_selector_codebook_size;
uint32_t m_total_endpoints;
uint32_t m_endpoint_codebook_size;
uint32_t m_tables_size;
uint32_t m_slices_size;
// 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
std::vector<uint32_t> m_image_mipmap_levels; // the # of mipmap levels for each image
bool m_etc1s; // always true for basis universal
bool m_y_flipped; // true if the image was Y flipped
bool m_has_alpha_slices; // true if the texture has alpha slices (even slices RGB, odd slices alpha)
};
class basisu_transcoder
{
basisu_transcoder(basisu_transcoder&);
basisu_transcoder& operator= (const basisu_transcoder&);
public:
basisu_transcoder(const etc1_global_selector_codebook *pGlobal_sel_codebook);
// 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;
// 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;
// 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_decoding() must be called before calling transcode_slice() or transcode_image_level().
// This decompresses the selector/endpoint codebooks, so ideally you would only call this once per .basis file (not each image/mipmap level).
bool start_decoding(const void *pData, uint32_t data_size) const;
enum
{
// PVRTC1: texture will use wrap addressing vs. clamp (most PVRTC viewer tools assume wrap addressing, so we default to wrap although that can cause edge artifacts)
cDecodeFlagsPVRTCWrapAddressing = 1,
// 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
cDecodeFlagsTranscodeAlphaDataToOpaqueFormats = 4
};
// 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 should be at least the image level's total_blocks (num_blocks_x * num_blocks_y)
// If fmt isn't cETC1, basisu_transcoder_init() must have been called first to initialize the transcoder lookup tables.
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,
transcoder_texture_format fmt,
uint32_t decode_flags = cDecodeFlagsPVRTCWrapAddressing) 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 is just used for verification to make sure the output buffer is large enough.
// output_blocks_buf_size_in_blocks should be at least the slice's total_blocks (num_blocks_x * num_blocks_y)
// If fmt isn't cETC1, basisu_transcoder_init() must have been called first to initialize the transcoder lookup tables.
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,
block_format fmt, uint32_t output_stride, uint32_t decode_flags = cDecodeFlagsPVRTCWrapAddressing) const;
private:
const void *m_pFile_data;
uint32_t m_file_data_size;
mutable basisu_lowlevel_transcoder m_lowlevel_decoder;
int find_first_slice_index(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index) const;
};
// basisu_transcoder_init() must be called before a .basis file can be transcoded.
void basisu_transcoder_init();
} // namespace basisu

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// basisu_transcoder_internal.h - Universal texture format transcoder library.
// Copyright (C) 2017-2019 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.
#pragma once
#ifdef _MSC_VER
#pragma warning (disable: 4127) // conditional expression is constant
#endif
#define BASISD_LIB_VERSION 107
#define BASISD_VERSION_STRING "01.11"
#ifdef _DEBUG
#define BASISD_BUILD_DEBUG
#else
#define BASISD_BUILD_RELEASE
#endif
#include "basisu.h"
#define BASISD_znew (z = 36969 * (z & 65535) + (z >> 16))
namespace basist
{
struct endpoint_index_template
{
uint8_t m_local_indices[8];
};
const uint32_t TOTAL_ENDPOINT_INDEX_TEMPLATES = 15;
extern const uint8_t g_endpoint_index_template_indices[TOTAL_ENDPOINT_INDEX_TEMPLATES];
extern const endpoint_index_template g_endpoint_index_templates[TOTAL_ENDPOINT_INDEX_TEMPLATES];
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)
{
if (!total_syms)
{
clear();
return true;
}
m_code_sizes.resize(total_syms);
memcpy(&m_code_sizes[0], pCode_sizes, total_syms);
m_lookup.resize(0);
m_lookup.resize(basisu::cHuffmanFastLookupSize);
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 <= basisu::cHuffmanFastLookupBits)
{
uint32_t k = (code_size << 16) | sym_index;
while (rev_code < basisu::cHuffmanFastLookupSize)
{
m_lookup[rev_code] = k;
rev_code += (1 << code_size);
}
continue;
}
int tree_cur;
if (0 == (tree_cur = m_lookup[rev_code & (basisu::cHuffmanFastLookupSize - 1)]))
{
m_lookup[rev_code & (basisu::cHuffmanFastLookupSize - 1)] = tree_next;
tree_cur = tree_next;
tree_next -= 2;
}
rev_code >>= (basisu::cHuffmanFastLookupBits - 1);
for (int j = code_size; j > (basisu::cHuffmanFastLookupBits + 1); j--)
{
tree_cur -= ((rev_code >>= 1) & 1);
if (!m_tree[-tree_cur - 1])
{
m_tree[-tree_cur - 1] = (int16_t)tree_next;
tree_cur = tree_next;
tree_next -= 2;
}
else
tree_cur = m_tree[-tree_cur - 1];
}
tree_cur -= ((rev_code >>= 1) & 1);
m_tree[-tree_cur - 1] = (int16_t)sym_index;
}
return true;
}
const basisu::uint8_vec &get_code_sizes() const { return m_code_sizes; }
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(0),
m_bit_buf(0),
m_bit_buf_size(0)
{
}
void clear()
{
m_buf_size = 0;
m_pBuf = 0;
m_bit_buf = 0;
m_bit_buf_size = 0;
}
bool init(const uint8_t *pBuf, uint32_t buf_size)
{
m_buf_size = buf_size;
m_pBuf = pBuf;
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)
{
const uint32_t c = m_buf_size ? *m_pBuf++ : 0;
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_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_huffman(const huffman_decoding_table &ct)
{
assert(ct.m_code_sizes.size());
while (m_bit_buf_size < 16)
{
const uint32_t c = m_buf_size ? *m_pBuf++ : 0;
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 & (basisu::cHuffmanFastLookupSize - 1)]) >= 0)
{
code_len = sym >> 16;
sym &= 0xFFFF;
}
else
{
code_len = basisu::cHuffmanFastLookupBits;
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;
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];
assert(prev != 0);
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;
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;
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); }
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); }
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; }
};
struct selector
{
union
{
uint8_t m_bytes[4];
};
uint8_t m_lo_selector, m_hi_selector;
uint8_t m_num_unique_selectors;
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);
}
}
}
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[3 - (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[4] = { 2, 3, 1, 0 };
return s_etc1_to_selector_index[get_raw_selector(x, y)];
}
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);
const uint32_t bit_index = x * 4 + y;
uint8_t *p = &m_bytes[3 - (bit_index >> 3)];
const uint32_t byte_bit_ofs = 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);
}
};
} // namespace basist

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transcoder/basisu_transcoder_tables_bc7_m6.inc Normal file
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transcoder/basisu_transcoder_tables_dxt1_5.inc Normal file
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@@ -0,0 +1,494 @@
// 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},
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{0,30,113},{30,30,113},{0,30,113},{26,0,208},{26,0,208},{26,0,208},{26,0,208},{25,31,16},{25,31,16},{25,31,16},{25,28,16},{23,29,9},{23,29,9},{28,31,779},{27,31,554},{27,31,433},{27,31,224},{28,31,859},{26,31,270},{26,31,74},{25,30,90},{24,31,590},{23,31,59},{29,31,218},{29,31,133},{28,31,82},{28,31,2},{31,27,333},{27,31,146},{27,31,25},{22,31,49},{31,29,333},
{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},

494
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// 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},
{40,0,72},{40,0,72},{40,0,72},{39,47,4},{39,47,4},{39,47,4},{39,43,4},{36,44,1},{36,44,1},{42,58,146},{42,53,77},{43,49,121},{42,48,81},{41,57,247},{40,51,77},{40,49,9},{40,47,100},{36,51,248},{37,47,81},{44,54,78},{43,52,4},{44,49,6},{43,48,17},{63,13,243},{40,51,73},{40,49,5},{37,47,80},{63,38,243},{37,47,80},{42,54,72},{42,54,72},{42,54,72},
{42,48,72},{41,52,54},{41,48,6},{41,48,6},{40,46,8},{36,49,51},{38,46,1},{44,50,4},{44,50,4},{44,50,4},{44,47,4},{59,16,50},{41,48,2},{41,48,2},{39,46,0},{62,36,50},{39,46,0},{55,32,72},{43,52,0},{44,49,2},{40,49,1},{55,32,72},{46,48,72},{40,49,1},{0,47,80},{46,48,72},{0,47,80},{42,0,72},{42,0,72},{42,0,72},{42,0,72},{41,48,5},
{41,48,5},{41,48,5},{41,45,4},{38,46,1},{38,46,1},{44,60,146},{44,55,77},{45,51,121},{44,50,81},{43,59,247},{42,53,77},{42,51,9},{42,49,103},{38,53,248},{39,49,76},{46,56,78},{45,54,4},{46,51,6},{45,50,17},{63,19,243},{42,53,73},{42,51,5},{38,49,74},{63,41,243},{38,49,74},{44,56,72},{44,56,72},{44,56,72},{44,50,72},{43,54,54},{43,50,6},{43,50,6},
{42,48,9},{38,51,51},{40,48,2},{46,52,4},{46,52,4},{46,52,4},{46,49,4},{62,16,50},{43,50,2},{43,50,2},{40,48,1},{62,39,50},{40,48,1},{58,32,72},{45,54,0},{46,51,2},{42,51,1},{58,32,72},{52,48,72},{42,51,1},{0,49,74},{52,48,72},{0,49,74},{44,0,72},{44,0,72},{44,0,72},{44,0,72},{43,50,5},{43,50,5},{43,50,5},{43,47,4},{40,48,1},
{40,48,1},{46,63,146},{46,57,79},{47,53,115},{46,53,78},{45,61,245},{45,55,77},{45,53,2},{44,51,105},{39,56,243},{42,51,82},{48,59,76},{48,55,9},{48,53,8},{47,53,18},{59,33,243},{44,55,74},{45,53,1},{41,51,80},{55,48,243},{41,51,80},{46,59,74},{46,59,74},{46,59,74},{46,52,75},{45,57,51},{45,53,2},{45,53,2},{44,50,10},{41,53,51},{42,50,1},{48,54,4},
{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},
{48,55,76},{47,63,245},{47,57,77},{47,55,2},{46,53,105},{41,58,243},{44,53,82},{50,61,76},{49,58,4},{50,55,8},{49,55,20},{62,33,243},{46,57,74},{47,55,1},{43,53,80},{61,48,243},{43,53,80},{48,60,72},{48,60,72},{48,60,72},{48,54,72},{47,59,51},{47,55,2},{47,55,2},{46,52,10},{43,55,51},{44,52,1},{50,56,4},{50,56,4},{50,56,4},{50,53,4},{63,27,50},
{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},
{47,54,0},{63,41,72},{51,60,0},{53,57,1},{48,57,0},{63,41,72},{63,52,72},{48,57,0},{0,55,80},{63,52,72},{0,55,80},{50,0,72},{50,0,72},{50,0,72},{50,0,72},{49,57,4},{49,57,4},{49,57,4},{49,53,4},{46,54,1},{46,54,1},{53,63,226},{52,63,77},{53,59,120},{52,59,76},{52,63,300},{50,61,78},{51,59,5},{50,57,100},{45,62,243},{47,57,84},{54,63,84},
{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},
{49,62,66},{57,63,115},{57,63,115},{57,63,115},{56,62,75},{56,63,93},{55,63,2},{55,63,2},{55,60,6},{51,63,51},{52,60,6},{58,63,10},{58,63,10},{58,63,10},{58,61,2},{63,51,50},{55,63,1},{55,63,1},{53,60,2},{63,57,50},{53,60,2},{63,59,61},{60,63,25},{59,63,0},{55,63,0},{63,59,61},{63,61,61},{55,63,0},{0,62,65},{63,61,61},{0,62,65},{56,0,74},
{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},
{57,63,10},{57,63,10},{57,61,2},{54,63,2},{54,63,2},{61,63,162},{61,63,135},{61,63,126},{60,63,90},{61,63,154},{60,63,66},{60,63,50},{59,63,2},{59,63,109},{57,63,10},{62,63,19},{62,63,14},{62,63,10},{62,63,5},{63,62,17},{62,63,12},{62,63,8},{59,63,1},{62,63,17},{59,63,1},{61,63,126},{61,63,126},{61,63,126},{60,63,90},{60,63,98},{60,63,50},{60,63,50},
{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},
{0,5,52},{0,5,52},{0,3,89},{6,0,145},{0,3,89},{2,16,200},{0,14,1},{2,9,1},{0,8,41},{2,16,200},{20,0,200},{0,8,41},{0,7,202},{20,0,200},{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},{1,24,225},{1,16,27},{1,12,83},{1,11,51},{0,19,724},{0,12,299},{0,10,62},
{0,8,414},{0,9,875},{0,7,500},{2,22,201},{2,16,6},{2,12,26},{1,11,35},{10,0,723},{0,12,299},{0,10,62},{0,8,414},{14,3,723},{0,8,414},{1,17,25},{1,17,25},{1,17,25},{1,9,25},{0,12,162},{0,8,25},{0,8,25},{0,5,61},{0,5,216},{0,5,97},{2,15,1},{2,15,1},{2,15,1},{2,8,2},{6,0,162},{0,8,25},{0,8,25},{0,5,61},{12,0,162},
{0,5,61},{5,16,200},{1,16,2},{4,11,1},{0,11,17},{5,16,200},{26,0,200},{0,11,17},{0,9,202},{26,0,200},{0,9,202},{1,0,25},{1,0,25},{1,0,25},{1,0,25},{0,5,1},{0,5,1},{0,5,1},{0,3,1},{0,2,8},{0,2,8},{2,28,313},{2,19,118},{2,14,203},{2,13,130},{0,25,724},{0,16,236},{0,13,6},{0,10,339},{0,11,984},{0,10,508},{4,24,201},
{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},
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{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},
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{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},
{0,47,433},{63,40,421},{0,47,433},{34,0,421},{34,0,421},{34,0,421},{34,0,421},{31,51,4},{31,51,4},{31,51,4},{31,41,4},{23,45,1},{23,45,1},{38,63,1350},{36,63,446},{37,54,646},{36,52,446},{36,63,1814},{32,58,447},{32,53,5},{31,48,638},{19,60,1515},{23,49,443},{41,63,517},{39,60,5},{40,54,45},{39,52,69},{63,13,1514},{29,60,422},{32,53,4},{20,49,426},{63,38,1514},
{20,49,426},{36,63,437},{36,63,437},{36,63,437},{36,51,421},{33,62,347},{32,53,5},{32,53,5},{32,45,33},{22,53,338},{26,46,2},{40,58,4},{40,58,4},{40,58,4},{40,49,4},{56,16,338},{33,52,2},{33,52,2},{27,46,0},{62,33,338},{27,46,0},{63,23,421},{39,60,1},{42,53,1},{32,53,0},{63,23,421},{63,43,421},{32,53,0},{0,49,425},{63,43,421},{0,49,425},{36,0,421},
{36,0,421},{36,0,421},{36,0,421},{32,54,2},{32,54,2},{32,54,2},{32,43,2},{25,47,1},{25,47,1},{40,63,1466},{38,63,474},{39,56,646},{38,54,446},{38,63,1931},{34,60,447},{34,55,5},{33,51,646},{21,62,1515},{25,51,443},{43,63,569},{41,62,5},{42,56,45},{41,54,69},{63,19,1514},{32,61,422},{34,55,4},{22,51,426},{63,41,1514},{22,51,426},{38,63,470},{38,63,470},{38,63,470},
{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},
{44,61,447},{46,63,2361},{41,63,573},{41,61,6},{39,57,638},{32,63,1710},{32,57,450},{51,63,837},{49,63,184},{48,62,49},{47,60,70},{63,37,1514},{43,63,545},{41,61,2},{27,58,425},{63,50,1514},{27,58,425},{45,63,614},{45,63,614},{45,63,614},{44,59,422},{43,63,488},{41,61,5},{41,61,5},{40,53,36},{31,61,339},{34,54,2},{48,63,20},{48,63,20},{48,63,20},{48,57,4},{63,27,338},
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{52,0,421},{52,0,421},{52,0,421},{50,63,72},{50,63,72},{50,63,72},{49,59,5},{42,63,1},{42,63,1},{57,63,1197},{56,63,994},{56,63,894},{54,63,565},{56,63,1210},{54,63,493},{53,63,332},{50,63,13},{51,63,861},{45,63,17},{60,63,209},{60,63,161},{60,63,145},{58,63,50},{63,58,294},{58,63,147},{57,63,89},{47,63,1},{62,61,294},{47,63,1},{56,63,894},{56,63,894},{56,63,894},
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{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},
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{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},
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{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},
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{0,38,13},{1,27,122},{0,24,305},{19,0,5419},{0,25,2819},{0,22,1187},{0,16,3659},{38,0,5419},{0,16,3659},{0,36,0},{0,36,0},{0,36,0},{0,18,0},{0,18,1152},{0,14,445},{0,14,445},{0,8,697},{0,8,1270},{0,8,797},{0,36,0},{0,36,0},{0,36,0},{0,18,0},{9,0,1152},{0,14,445},{0,14,445},{0,8,697},{18,0,1152},{0,8,697},{28,1,1568},{0,38,13},{5,26,1},
{0,24,305},{28,1,1568},{47,5,1568},{0,24,305},{0,19,1570},{47,5,1568},{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},{1,61,1609},{1,41,43},{2,29,250},{1,26,301},{0,45,5419},{0,28,2552},{0,25,820},{0,18,3377},{0,21,6243},{0,18,3953},{2,59,1569},{2,41,10},{3,29,125},{1,26,285},{22,1,5419},
{0,28,2552},{0,25,820},{0,18,3377},{45,0,5419},{0,18,3377},{1,40,42},{1,40,42},{1,40,42},{1,21,42},{0,25,1152},{0,19,292},{0,19,292},{0,11,569},{0,11,1380},{0,10,747},{2,38,2},{2,38,2},{2,38,2},{2,20,2},{12,1,1152},{0,19,292},{0,19,292},{0,11,569},{25,0,1152},{0,11,569},{23,17,1568},{0,42,1},{7,28,1},{0,26,233},{23,17,1568},{63,0,1568},{0,26,233},
{0,21,1568},{63,0,1568},{0,21,1568},{1,0,41},{1,0,41},{1,0,41},{1,0,41},{0,7,0},{0,7,0},{0,7,0},{0,3,1},{0,3,17},{0,3,17},{2,63,1731},{2,44,146},{3,31,441},{1,28,370},{0,50,5420},{0,33,2329},{0,27,554},{0,21,3217},{0,23,6476},{0,19,3861},{4,61,1569},{4,43,10},{5,31,125},{3,28,285},{25,1,5419},{0,33,2329},{0,27,554},{0,21,3217},{47,2,5419},
{0,21,3217},{2,44,146},{2,44,146},{2,44,146},{2,23,146},{0,31,1152},{0,22,180},{0,22,180},{0,13,458},{0,14,1508},{0,13,747},{4,40,2},{4,40,2},{4,40,2},{4,22,2},{15,1,1152},{0,22,180},{0,22,180},{0,13,458},{31,0,1152},{0,13,458},{34,1,1568},{2,44,1},{9,30,1},{0,28,164},{34,1,1568},{63,3,1568},{0,28,164},{0,23,1568},{63,3,1568},{0,23,1568},{2,0,145},
{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},
{6,36,1365},{3,63,5739},{0,45,1718},{0,38,17},{0,29,2514},{0,34,7760},{0,28,3900},{14,63,1636},{12,51,13},{14,39,116},{12,35,292},{37,1,5419},{0,45,1718},{0,38,17},{0,29,2514},{63,6,5419},{0,29,2514},{6,61,1252},{6,61,1252},{6,61,1252},{6,33,1253},{0,55,1152},{0,37,4},{0,37,4},{0,22,162},{0,25,2339},{0,21,989},{13,47,4},{13,47,4},{13,47,4},{13,30,4},{27,1,1152},
{1,36,1},{1,36,1},{0,22,162},{55,0,1152},{0,22,162},{47,0,1568},{10,52,1},{17,38,1},{0,38,16},{47,0,1568},{46,24,1568},{0,38,16},{0,31,1570},{46,24,1568},{0,31,1570},{6,0,1252},{6,0,1252},{6,0,1252},{6,0,1252},{0,37,0},{0,37,0},{0,37,0},{0,19,1},{0,16,490},{0,16,490},{11,63,4328},{8,57,1644},{10,41,2360},{7,39,1656},{6,63,6079},{0,49,1644},{1,40,17},
{0,31,2359},{0,36,7943},{0,30,3834},{16,63,1689},{14,53,13},{16,41,129},{14,37,292},{40,1,5419},{0,49,1640},{1,40,13},{0,31,2355},{63,9,5419},{0,31,2355},{8,63,1576},{8,63,1576},{8,63,1576},{7,36,1576},{1,59,1156},{1,39,13},{1,39,13},{0,25,110},{0,28,2475},{0,24,1017},{15,49,4},{15,49,4},{15,49,4},{15,32,4},{30,1,1152},{3,38,1},{3,38,1},{0,25,106},{61,0,1152},
{0,25,106},{49,1,1568},{12,54,1},{19,40,1},{0,40,4},{49,1,1568},{46,27,1568},{0,40,4},{0,33,1568},{46,27,1568},{0,33,1568},{7,0,1576},{7,0,1576},{7,0,1576},{7,0,1576},{1,41,4},{1,41,4},{1,41,4},{1,21,4},{0,19,578},{0,19,578},{14,63,4584},{10,59,1644},{12,43,2360},{9,41,1656},{8,63,6244},{2,51,1644},{3,42,17},{1,33,2308},{0,42,7575},{0,32,3345},{19,63,1761},
{16,55,10},{17,43,125},{16,40,290},{43,1,5419},{0,52,1592},{3,42,13},{0,33,2225},{63,12,5419},{0,33,2225},{10,63,1585},{10,63,1585},{10,63,1585},{9,38,1576},{3,61,1156},{3,41,13},{3,41,13},{2,27,110},{0,31,2211},{0,25,699},{16,52,2},{16,52,2},{16,52,2},{16,34,2},{33,1,1152},{5,40,1},{5,40,1},{0,27,61},{63,2,1152},{0,27,61},{52,1,1568},{14,56,1},{21,42,1},
{1,42,0},{52,1,1568},{46,30,1568},{1,42,0},{0,35,1568},{46,30,1568},{0,35,1568},{9,0,1576},{9,0,1576},{9,0,1576},{9,0,1576},{3,43,4},{3,43,4},{3,43,4},{3,23,4},{0,22,410},{0,22,410},{15,63,4826},{12,62,1650},{14,46,2355},{11,43,1660},{11,63,6452},{4,54,1641},{5,44,15},{3,35,2308},{0,45,7165},{0,35,2875},{22,63,1862},{18,57,9},{20,45,126},{18,42,281},{47,0,5419},
{0,56,1568},{6,44,10},{0,35,2091},{46,24,5419},{0,35,2091},{12,63,1606},{12,63,1606},{12,63,1606},{12,40,1571},{5,63,1155},{5,44,14},{5,44,14},{4,29,109},{0,33,1977},{0,28,424},{19,53,4},{19,53,4},{19,53,4},{19,36,4},{31,12,1152},{7,42,1},{7,42,1},{0,30,29},{62,6,1152},{0,30,29},{56,0,1568},{17,58,1},{24,44,2},{3,44,2},{56,0,1568},{62,25,1568},{3,44,2},
{0,37,1570},{62,25,1568},{0,37,1570},{12,0,1570},{12,0,1570},{12,0,1570},{12,0,1570},{5,46,1},{5,46,1},{5,46,1},{5,25,2},{0,25,260},{0,25,260},{17,63,5096},{14,63,1652},{15,48,2358},{13,45,1660},{14,63,6668},{6,56,1641},{7,46,15},{5,37,2308},{0,47,6891},{0,36,2543},{23,63,1956},{20,59,9},{22,47,126},{20,44,281},{49,1,5419},{2,58,1568},{8,46,10},{0,38,1979},{46,27,5419},
{0,38,1979},{14,63,1651},{14,63,1651},{14,63,1651},{14,42,1571},{8,63,1179},{7,46,14},{7,46,14},{6,31,109},{0,38,1778},{0,31,232},{21,55,4},{21,55,4},{21,55,4},{21,38,4},{31,18,1152},{9,44,1},{9,44,1},{0,32,10},{62,9,1152},{0,32,10},{59,0,1568},{19,60,1},{26,46,2},{5,46,2},{59,0,1568},{62,28,1568},{5,46,2},{0,39,1570},{62,28,1568},{0,39,1570},{14,0,1570},
{14,0,1570},{14,0,1570},{14,0,1570},{7,48,1},{7,48,1},{7,48,1},{7,27,2},{0,28,164},{0,28,164},{20,63,5352},{17,63,1708},{18,49,2360},{15,47,1660},{15,63,6877},{8,58,1641},{9,48,14},{7,39,2308},{0,50,6576},{0,39,2215},{26,63,2052},{22,61,9},{24,49,116},{22,46,281},{52,1,5419},{4,60,1568},{9,48,13},{0,40,1907},{46,30,5419},{0,40,1907},{16,63,1697},{16,63,1697},{16,63,1697},
{16,44,1577},{10,63,1209},{9,48,14},{9,48,14},{8,33,115},{0,42,1601},{0,33,110},{23,57,4},{23,57,4},{23,57,4},{23,40,4},{34,17,1152},{11,46,1},{11,46,1},{0,34,2},{62,12,1152},{0,34,2},{62,0,1568},{21,62,1},{28,48,1},{7,48,0},{62,0,1568},{62,31,1568},{7,48,0},{0,41,1570},{62,31,1568},{0,41,1570},{16,0,1576},{16,0,1576},{16,0,1576},{16,0,1576},{9,50,1},
{9,50,1},{9,50,1},{9,29,2},{0,33,85},{0,33,85},{23,63,5672},{19,63,1825},{20,51,2360},{17,49,1656},{19,63,7135},{10,60,1641},{11,50,14},{9,41,2308},{0,53,6336},{0,42,1983},{29,63,2180},{24,63,9},{26,51,116},{24,48,293},{55,1,5419},{6,62,1568},{11,50,13},{0,42,1814},{47,32,5419},{0,42,1814},{19,63,1761},{19,63,1761},{19,63,1761},{17,46,1576},{12,63,1249},{11,50,14},{11,50,14},
{10,35,115},{0,45,1449},{0,36,30},{25,59,4},{25,59,4},{25,59,4},{25,42,4},{37,17,1152},{13,48,0},{13,48,0},{1,36,2},{62,15,1152},{1,36,2},{63,4,1568},{23,63,4},{30,50,1},{9,50,0},{63,4,1568},{62,34,1568},{9,50,0},{0,43,1570},{62,34,1568},{0,43,1570},{17,0,1576},{17,0,1576},{17,0,1576},{17,0,1576},{11,52,1},{11,52,1},{11,52,1},{11,31,2},{0,36,29},
{0,36,29},{25,63,6066},{21,63,2039},{22,54,2355},{19,51,1660},{20,63,7420},{12,62,1635},{13,52,14},{11,43,2316},{0,57,6109},{0,44,1789},{31,63,2369},{27,63,38},{28,53,115},{26,50,286},{59,0,5419},{9,63,1577},{14,52,11},{0,44,1740},{62,28,5419},{0,44,1740},{21,63,1843},{21,63,1843},{21,63,1843},{20,48,1571},{15,63,1314},{13,52,13},{13,52,13},{12,37,116},{0,48,1329},{0,39,13},{27,62,1},
{27,62,1},{27,62,1},{27,44,2},{49,0,1152},{15,50,2},{15,50,2},{4,38,4},{62,18,1152},{4,38,4},{63,11,1568},{27,63,37},{32,52,2},{12,52,1},{63,11,1568},{47,45,1568},{12,52,1},{0,45,1576},{47,45,1568},{0,45,1576},{20,0,1570},{20,0,1570},{20,0,1570},{20,0,1570},{13,54,1},{13,54,1},{13,54,1},{13,34,1},{0,40,4},{0,40,4},{28,63,6434},{23,63,2268},{24,56,2355},
{21,53,1660},{23,63,7668},{14,63,1652},{15,54,14},{13,45,2316},{0,61,5924},{0,47,1685},{34,63,2502},{29,63,123},{30,55,115},{28,52,286},{62,0,5419},{13,63,1627},{16,54,10},{0,47,1676},{62,31,5419},{0,47,1676},{23,63,1907},{23,63,1907},{23,63,1907},{22,50,1571},{17,63,1395},{15,54,13},{15,54,13},{14,39,116},{0,51,1241},{2,41,13},{29,63,2},{29,63,2},{29,63,2},{29,46,2},{52,0,1152},
{17,52,1},{17,52,1},{6,40,4},{62,21,1152},{6,40,4},{55,32,1568},{31,63,97},{34,54,2},{14,54,1},{55,32,1568},{46,48,1568},{14,54,1},{0,47,1576},{46,48,1568},{0,47,1576},{22,0,1570},{22,0,1570},{22,0,1570},{22,0,1570},{15,56,1},{15,56,1},{15,56,1},{15,36,1},{1,43,1},{1,43,1},{29,63,6756},{26,63,2548},{26,58,2355},{23,55,1660},{26,63,7948},{17,63,1716},{17,56,15},
{15,47,2316},{0,63,5773},{0,49,1638},{37,63,2694},{32,63,262},{32,57,126},{30,54,286},{63,4,5419},{17,63,1715},{18,56,10},{0,49,1634},{62,34,5419},{0,49,1634},{25,63,2018},{25,63,2018},{25,63,2018},{24,52,1571},{20,63,1483},{17,56,14},{17,56,14},{16,41,109},{0,54,1185},{4,43,13},{31,63,17},{31,63,17},{31,63,17},{31,48,2},{55,0,1152},{19,54,1},{19,54,1},{8,42,4},{62,24,1152},
{8,42,4},{58,32,1568},{34,63,169},{36,56,2},{15,56,2},{58,32,1568},{52,48,1568},{15,56,2},{0,49,1570},{52,48,1568},{0,49,1570},{24,0,1570},{24,0,1570},{24,0,1570},{24,0,1570},{17,58,1},{17,58,1},{17,58,1},{17,37,2},{3,45,1},{3,45,1},{31,63,7218},{29,63,2924},{28,60,2355},{25,57,1660},{29,63,8260},{20,63,1884},{19,58,15},{17,49,2308},{3,63,5933},{2,51,1638},{39,63,2892},
{34,63,445},{34,59,126},{32,56,281},{63,10,5419},{21,63,1849},{20,58,10},{0,51,1606},{62,37,5419},{0,51,1606},{28,63,2130},{28,63,2130},{28,63,2130},{26,54,1571},{23,63,1603},{19,58,14},{19,58,14},{18,43,109},{0,58,1156},{6,45,13},{33,63,40},{33,63,40},{33,63,40},{33,50,4},{58,0,1152},{21,56,1},{21,56,1},{10,44,4},{62,27,1152},{10,44,4},{61,32,1568},{38,63,274},{38,58,2},
{17,58,2},{61,32,1568},{58,48,1568},{17,58,2},{0,51,1570},{58,48,1568},{0,51,1570},{26,0,1570},{26,0,1570},{26,0,1570},{26,0,1570},{19,60,1},{19,60,1},{19,60,1},{19,39,2},{5,47,1},{5,47,1},{34,63,7586},{31,63,3453},{30,62,2357},{28,59,1668},{31,63,8699},{23,63,2180},{21,60,21},{19,51,2316},{7,63,6224},{4,53,1634},{42,63,3131},{37,63,722},{36,62,125},{34,58,278},{55,32,5419},
{26,63,2052},{22,60,9},{0,53,1580},{46,48,5419},{0,53,1580},{30,63,2272},{30,63,2272},{30,63,2272},{28,56,1568},{25,63,1746},{21,60,17},{21,60,17},{21,45,113},{1,61,1154},{9,47,14},{36,63,74},{36,63,74},{36,63,74},{35,52,2},{53,16,1152},{23,59,1},{23,59,1},{11,47,1},{63,30,1152},{11,47,1},{63,35,1568},{43,63,433},{40,60,4},{20,60,4},{63,35,1568},{63,49,1568},{20,60,4},
{0,53,1576},{63,49,1568},{0,53,1576},{28,0,1568},{28,0,1568},{28,0,1568},{28,0,1568},{21,63,0},{21,63,0},{21,63,0},{21,42,0},{7,49,1},{7,49,1},{37,63,8018},{34,63,3915},{32,63,2410},{30,61,1668},{34,63,8985},{26,63,2548},{23,62,21},{21,53,2316},{12,63,6555},{6,55,1634},{43,63,3345},{40,63,1026},{38,63,129},{36,60,278},{58,32,5419},{30,63,2274},{24,62,9},{0,55,1577},{52,48,5419},
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{0,18,865},{0,19,2875},{0,16,1427},{6,55,0},{6,55,0},{6,55,0},{6,31,1},{15,13,2178},{0,31,338},{0,31,338},{0,18,865},{31,6,2178},{0,18,865},{47,0,2665},{5,58,1},{14,40,2},{0,38,225},{47,0,2665},{62,16,2665},{0,38,225},{0,31,2669},{62,16,2665},{0,31,2669},{3,0,288},{3,0,288},{3,0,288},{3,0,288},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{0,8,109},
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{1,63,1594},