path: root/core/fxcodec/codec/fx_codec_icc.cpp

// Copyright 2014 PDFium Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.

// Original code copyright 2014 Foxit Software Inc. http://www.foxitsoftware.com

#include "core/fxcodec/codec/codec_int.h"
#include "core/fxcodec/fx_codec.h"

#if defined(USE_SYSTEM_LCMS2)
#include <lcms2.h>
#else
#include "third_party/lcms2-2.6/include/lcms2.h"
#endif

struct CLcmsCmm {
  cmsHTRANSFORM m_hTransform;
  int m_nSrcComponents;
  int m_nDstComponents;
  bool m_bLab;
};
bool CheckComponents(cmsColorSpaceSignature cs, int nComponents, bool bDst) {
  if (nComponents <= 0 || nComponents > 15) {
    return false;
  }
  switch (cs) {
    case cmsSigLabData:
      if (nComponents < 3) {
        return false;
      }
      break;
    case cmsSigGrayData:
      if (bDst && nComponents != 1) {
        return false;
      }
      if (!bDst && nComponents > 2) {
        return false;
      }
      break;
    case cmsSigRgbData:
      if (bDst && nComponents != 3) {
        return false;
      }
      break;
    case cmsSigCmykData:
      if (bDst && nComponents != 4) {
        return false;
      }
      break;
    default:
      if (nComponents != 3) {
        return false;
      }
      break;
  }
  return true;
}

void* IccLib_CreateTransform(const unsigned char* pSrcProfileData,
                             uint32_t dwSrcProfileSize,
                             uint32_t& nSrcComponents,
                             const unsigned char* pDstProfileData,
                             uint32_t dwDstProfileSize,
                             int32_t nDstComponents,
                             int intent,
                             uint32_t dwSrcFormat = Icc_FORMAT_DEFAULT,
                             uint32_t dwDstFormat = Icc_FORMAT_DEFAULT) {
  nSrcComponents = 0;
  cmsHPROFILE srcProfile =
      cmsOpenProfileFromMem(pSrcProfileData, dwSrcProfileSize);
  if (!srcProfile)
    return nullptr;

  cmsHPROFILE dstProfile;
  if (!pDstProfileData && dwDstProfileSize == 0 && nDstComponents == 3) {
    dstProfile = cmsCreate_sRGBProfile();
  } else {
    dstProfile = cmsOpenProfileFromMem(pDstProfileData, dwDstProfileSize);
  }
  if (!dstProfile) {
    cmsCloseProfile(srcProfile);
    return nullptr;
  }
  int srcFormat;
  bool bLab = false;
  cmsColorSpaceSignature srcCS = cmsGetColorSpace(srcProfile);

  nSrcComponents = cmsChannelsOf(srcCS);
  // According to PDF spec, number of components must be 1, 3, or 4.
  if (nSrcComponents != 1 && nSrcComponents != 3 && nSrcComponents != 4) {
    cmsCloseProfile(srcProfile);
    cmsCloseProfile(dstProfile);
    return nullptr;
  }

  if (srcCS == cmsSigLabData) {
    srcFormat =
        COLORSPACE_SH(PT_Lab) | CHANNELS_SH(nSrcComponents) | BYTES_SH(0);
    bLab = true;
  } else {
    srcFormat =
        COLORSPACE_SH(PT_ANY) | CHANNELS_SH(nSrcComponents) | BYTES_SH(1);
    if (srcCS == cmsSigRgbData && T_DOSWAP(dwSrcFormat)) {
      srcFormat |= DOSWAP_SH(1);
    }
  }
  cmsColorSpaceSignature dstCS = cmsGetColorSpace(dstProfile);
  if (!CheckComponents(dstCS, nDstComponents, true)) {
    cmsCloseProfile(srcProfile);
    cmsCloseProfile(dstProfile);
    return nullptr;
  }

  cmsHTRANSFORM hTransform = nullptr;
  switch (dstCS) {
    case cmsSigGrayData:
      hTransform = cmsCreateTransform(srcProfile, srcFormat, dstProfile,
                                      TYPE_GRAY_8, intent, 0);
      break;
    case cmsSigRgbData:
      hTransform = cmsCreateTransform(srcProfile, srcFormat, dstProfile,
                                      TYPE_BGR_8, intent, 0);
      break;
    case cmsSigCmykData:
      hTransform = cmsCreateTransform(
          srcProfile, srcFormat, dstProfile,
          T_DOSWAP(dwDstFormat) ? TYPE_KYMC_8 : TYPE_CMYK_8, intent, 0);
      break;
    default:
      break;
  }
  if (!hTransform) {
    cmsCloseProfile(srcProfile);
    cmsCloseProfile(dstProfile);
    return nullptr;
  }
  CLcmsCmm* pCmm = new CLcmsCmm;
  pCmm->m_nSrcComponents = nSrcComponents;
  pCmm->m_nDstComponents = nDstComponents;
  pCmm->m_hTransform = hTransform;
  pCmm->m_bLab = bLab;
  cmsCloseProfile(srcProfile);
  cmsCloseProfile(dstProfile);
  return pCmm;
}
void* IccLib_CreateTransform_sRGB(const unsigned char* pProfileData,
                                  uint32_t dwProfileSize,
                                  uint32_t& nComponents,
                                  int32_t intent,
                                  uint32_t dwSrcFormat) {
  return IccLib_CreateTransform(pProfileData, dwProfileSize, nComponents,
                                nullptr, 0, 3, intent, dwSrcFormat);
}
void IccLib_DestroyTransform(void* pTransform) {
  if (!pTransform) {
    return;
  }
  cmsDeleteTransform(((CLcmsCmm*)pTransform)->m_hTransform);
  delete (CLcmsCmm*)pTransform;
}

void IccLib_Translate(void* pTransform,
                      uint32_t nSrcComponents,
                      const float* pSrcValues,
                      float* pDestValues) {
  if (!pTransform)
    return;

  CLcmsCmm* p = (CLcmsCmm*)pTransform;
  uint8_t output[4];
  if (p->m_bLab) {
    CFX_FixedBufGrow<double, 16> inputs(nSrcComponents);
    double* input = inputs;
    for (uint32_t i = 0; i < nSrcComponents; i++)
      input[i] = pSrcValues[i];
    cmsDoTransform(p->m_hTransform, input, output, 1);
  } else {
    CFX_FixedBufGrow<uint8_t, 16> inputs(nSrcComponents);
    uint8_t* input = inputs;
    for (uint32_t i = 0; i < nSrcComponents; i++) {
      if (pSrcValues[i] > 1.0f)
        input[i] = 255;
      else if (pSrcValues[i] < 0)
        input[i] = 0;
      else
        input[i] = static_cast<int>(pSrcValues[i] * 255.0f);
    }
    cmsDoTransform(p->m_hTransform, input, output, 1);
  }
  switch (p->m_nDstComponents) {
    case 1:
      pDestValues[0] = output[0] / 255.0f;
      break;
    case 3:
      pDestValues[0] = output[2] / 255.0f;
      pDestValues[1] = output[1] / 255.0f;
      pDestValues[2] = output[0] / 255.0f;
      break;
    case 4:
      pDestValues[0] = output[0] / 255.0f;
      pDestValues[1] = output[1] / 255.0f;
      pDestValues[2] = output[2] / 255.0f;
      pDestValues[3] = output[3] / 255.0f;
      break;
  }
}

void IccLib_TranslateImage(void* pTransform,
                           unsigned char* pDest,
                           const unsigned char* pSrc,
                           int32_t pixels) {
  if (!pTransform)
    return;
  cmsDoTransform(((CLcmsCmm*)pTransform)->m_hTransform, pSrc, pDest, pixels);
}

CCodec_IccModule::CCodec_IccModule() : m_nComponents(0) {}

CCodec_IccModule::~CCodec_IccModule() {
}
void* CCodec_IccModule::CreateTransform_sRGB(const uint8_t* pProfileData,
                                             uint32_t dwProfileSize,
                                             uint32_t& nComponents,
                                             int32_t intent,
                                             uint32_t dwSrcFormat) {
  return IccLib_CreateTransform_sRGB(pProfileData, dwProfileSize, nComponents,
                                     intent, dwSrcFormat);
}

void CCodec_IccModule::DestroyTransform(void* pTransform) {
  IccLib_DestroyTransform(pTransform);
}

void CCodec_IccModule::Translate(void* pTransform,
                                 const float* pSrcValues,
                                 float* pDestValues) {
  IccLib_Translate(pTransform, m_nComponents, pSrcValues, pDestValues);
}

void CCodec_IccModule::TranslateScanline(void* pTransform,
                                         uint8_t* pDest,
                                         const uint8_t* pSrc,
                                         int32_t pixels) {
  IccLib_TranslateImage(pTransform, pDest, pSrc, pixels);
}

const uint8_t g_CMYKSamples[81 * 81 * 3] = {
    255, 255, 255, 225, 226, 228, 199, 200, 202, 173, 174, 178, 147, 149, 152,
    123, 125, 128, 99,  99,  102, 69,  70,  71,  34,  30,  31,  255, 253, 229,
    226, 224, 203, 200, 199, 182, 173, 173, 158, 149, 148, 135, 125, 124, 113,
    99,  99,  90,  70,  69,  63,  33,  29,  24,  255, 251, 204, 228, 223, 182,
    201, 198, 163, 174, 172, 142, 150, 147, 122, 125, 123, 101, 99,  98,  80,
    70,  68,  54,  32,  28,  16,  255, 249, 179, 230, 222, 160, 203, 197, 144,
    174, 170, 124, 150, 145, 105, 125, 122, 88,  99,  97,  69,  70,  68,  46,
    31,  28,  6,   255, 247, 154, 229, 220, 138, 203, 195, 122, 176, 169, 107,
    150, 145, 91,  125, 121, 74,  100, 96,  57,  70,  67,  35,  29,  26,  0,
    255, 246, 128, 231, 217, 114, 205, 194, 101, 176, 167, 88,  150, 144, 75,
    125, 120, 60,  100, 96,  44,  70,  66,  24,  28,  26,  0,   255, 244, 96,
    231, 217, 87,  203, 192, 78,  175, 167, 66,  150, 143, 56,  125, 119, 43,
    100, 95,  29,  69,  66,  7,   26,  26,  0,   255, 243, 51,  232, 215, 51,
    204, 191, 43,  176, 165, 38,  150, 142, 28,  125, 118, 17,  99,  94,  0,
    68,  65,  0,   24,  25,  0,   255, 241, 0,   231, 215, 0,   203, 190, 0,
    176, 164, 0,   150, 141, 0,   126, 117, 0,   99,  93,  0,   68,  65,  0,
    24,  25,  0,   252, 228, 238, 222, 201, 211, 197, 180, 190, 171, 156, 166,
    147, 133, 143, 123, 111, 119, 99,  88,  94,  71,  61,  66,  34,  22,  26,
    254, 226, 213, 224, 201, 191, 199, 179, 171, 172, 155, 148, 147, 133, 128,
    123, 110, 106, 98,  87,  83,  70,  59,  57,  33,  21,  18,  254, 224, 191,
    224, 199, 172, 200, 177, 153, 173, 154, 133, 147, 132, 115, 123, 109, 94,
    98,  86,  74,  70,  59,  49,  32,  21,  9,   255, 222, 168, 227, 198, 150,
    200, 175, 135, 173, 153, 118, 148, 130, 99,  123, 109, 82,  98,  86,  64,
    69,  58,  40,  31,  19,  0,   255, 221, 145, 227, 196, 129, 201, 174, 115,
    173, 151, 99,  148, 129, 85,  124, 108, 69,  98,  85,  52,  69,  58,  30,
    30,  19,  0,   255, 219, 121, 227, 195, 109, 201, 174, 97,  174, 150, 83,
    148, 129, 70,  124, 107, 55,  98,  84,  40,  69,  58,  19,  28,  18,  0,
    255, 218, 92,  229, 194, 82,  202, 173, 75,  174, 150, 63,  149, 128, 51,
    124, 106, 39,  98,  84,  24,  68,  57,  3,   26,  18,  0,   255, 217, 54,
    228, 193, 52,  201, 172, 46,  174, 148, 36,  148, 127, 27,  123, 105, 14,
    98,  83,  0,   68,  56,  0,   25,  18,  0,   255, 216, 0,   229, 192, 2,
    202, 171, 4,   173, 148, 0,   148, 126, 0,   124, 105, 0,   98,  83,  0,
    68,  56,  0,   24,  17,  0,   249, 204, 223, 219, 181, 199, 195, 160, 178,
    170, 140, 156, 146, 119, 134, 123, 99,  112, 98,  77,  88,  70,  52,  61,
    34,  11,  20,  250, 201, 200, 221, 180, 178, 197, 159, 161, 171, 139, 139,
    147, 119, 120, 123, 98,  99,  98,  77,  78,  69,  51,  52,  34,  11,  10,
    252, 201, 180, 223, 179, 162, 197, 159, 144, 170, 138, 125, 146, 117, 107,
    122, 97,  89,  98,  76,  69,  69,  50,  44,  32,  11,  2,   252, 199, 158,
    222, 177, 143, 199, 158, 127, 171, 137, 110, 147, 117, 93,  122, 96,  76,
    97,  75,  58,  69,  50,  36,  32,  10,  0,   253, 198, 137, 223, 177, 123,
    198, 156, 110, 171, 136, 95,  146, 116, 80,  122, 96,  65,  97,  75,  47,
    69,  50,  25,  30,  10,  0,   254, 197, 115, 225, 175, 104, 198, 156, 92,
    172, 135, 79,  147, 115, 66,  123, 95,  52,  98,  74,  37,  69,  49,  15,
    29,  10,  0,   254, 196, 89,  224, 175, 80,  199, 154, 70,  172, 134, 59,
    146, 114, 48,  122, 95,  36,  97,  74,  21,  68,  49,  0,   27,  9,   0,
    255, 195, 57,  225, 173, 52,  198, 154, 44,  172, 133, 36,  147, 113, 26,
    123, 94,  14,  98,  74,  0,   68,  49,  0,   26,  10,  0,   254, 194, 15,
    225, 172, 12,  198, 153, 7,   172, 132, 3,   146, 113, 0,   123, 93,  0,
    98,  73,  0,   68,  49,  0,   26,  9,   0,   246, 178, 209, 218, 159, 186,
    194, 140, 166, 168, 122, 145, 144, 104, 125, 121, 85,  103, 97,  65,  81,
    69,  41,  55,  34,  0,   12,  248, 176, 186, 219, 157, 166, 195, 139, 149,
    168, 121, 130, 144, 103, 111, 121, 85,  91,  97,  65,  71,  69,  41,  46,
    34,  0,   4,   249, 175, 168, 220, 156, 150, 196, 139, 135, 169, 121, 116,
    144, 103, 100, 122, 84,  83,  98,  65,  63,  70,  41,  39,  33,  0,   0,
    249, 175, 148, 220, 155, 133, 196, 138, 119, 169, 120, 103, 145, 101, 87,
    121, 83,  71,  97,  65,  54,  69,  41,  31,  32,  0,   0,   249, 173, 128,
    222, 154, 115, 195, 137, 102, 170, 119, 88,  145, 101, 74,  122, 83,  59,
    97,  64,  43,  68,  40,  20,  30,  0,   0,   250, 172, 108, 221, 154, 98,
    195, 136, 86,  170, 118, 73,  145, 100, 61,  122, 82,  48,  97,  63,  32,
    69,  40,  11,  28,  0,   0,   250, 171, 85,  221, 153, 76,  196, 136, 67,
    170, 117, 56,  145, 99,  44,  121, 82,  33,  97,  63,  17,  68,  40,  0,
    28,  0,   0,   251, 171, 58,  222, 152, 50,  197, 135, 43,  169, 117, 34,
    146, 99,  25,  121, 81,  10,  96,  63,  0,   68,  40,  0,   27,  0,   0,
    250, 170, 26,  222, 151, 19,  196, 134, 13,  169, 116, 4,   145, 99,  0,
    122, 81,  0,   97,  63,  0,   67,  40,  0,   26,  0,   0,   244, 153, 194,
    215, 136, 173, 192, 121, 155, 167, 104, 135, 143, 89,  115, 121, 72,  96,
    97,  54,  75,  70,  31,  49,  34,  0,   6,   245, 153, 173, 216, 136, 155,
    192, 120, 138, 167, 104, 121, 144, 88,  103, 121, 71,  85,  97,  54,  66,
    69,  31,  42,  34,  0,   0,   246, 152, 157, 217, 135, 140, 193, 120, 126,
    167, 103, 109, 143, 88,  92,  121, 72,  76,  97,  54,  58,  69,  31,  35,
    33,  0,   0,   245, 150, 139, 218, 134, 125, 193, 119, 111, 167, 103, 96,
    144, 87,  80,  121, 71,  66,  96,  53,  49,  68,  31,  26,  32,  0,   0,
    246, 151, 122, 218, 133, 108, 194, 118, 96,  168, 102, 81,  144, 86,  69,
    120, 71,  55,  95,  53,  39,  68,  30,  17,  31,  0,   0,   248, 150, 103,
    218, 133, 91,  193, 118, 81,  168, 102, 69,  143, 86,  56,  120, 70,  43,
    96,  53,  28,  68,  31,  6,   29,  0,   0,   247, 149, 81,  218, 132, 72,
    194, 117, 62,  168, 101, 52,  144, 86,  42,  121, 70,  29,  96,  52,  13,
    68,  30,  0,   28,  0,   0,   247, 148, 55,  219, 131, 50,  194, 117, 43,
    167, 101, 32,  144, 85,  22,  120, 69,  8,   96,  52,  0,   67,  30,  0,
    27,  0,   0,   247, 147, 29,  218, 131, 24,  194, 116, 20,  168, 100, 11,
    144, 85,  0,   120, 69,  0,   96,  52,  0,   67,  30,  0,   26,  0,   0,
    242, 130, 179, 214, 114, 160, 190, 101, 143, 166, 87,  125, 143, 72,  107,
    120, 58,  88,  96,  42,  68,  69,  17,  44,  35,  0,   0,   243, 129, 161,
    215, 114, 143, 191, 101, 128, 166, 87,  113, 143, 73,  96,  120, 58,  79,
    96,  41,  60,  69,  18,  37,  33,  0,   0,   243, 129, 146, 216, 114, 130,
    192, 101, 117, 166, 87,  101, 143, 72,  86,  121, 58,  69,  96,  42,  52,
    69,  18,  29,  31,  0,   0,   243, 128, 130, 216, 114, 115, 191, 101, 102,
    165, 86,  88,  142, 72,  75,  120, 58,  60,  95,  42,  43,  68,  19,  21,
    30,  0,   0,   244, 127, 112, 217, 113, 101, 192, 99,  89,  166, 85,  75,
    142, 72,  63,  119, 57,  50,  96,  41,  35,  68,  19,  13,  30,  0,   0,
    244, 127, 96,  216, 112, 86,  191, 99,  75,  166, 86,  64,  143, 72,  52,
    120, 57,  40,  95,  41,  24,  67,  20,  1,   29,  0,   0,   245, 126, 77,
    216, 113, 68,  191, 100, 59,  166, 85,  49,  142, 71,  38,  119, 57,  26,
    95,  41,  10,  67,  20,  0,   28,  0,   0,   244, 126, 55,  216, 112, 48,
    191, 99,  40,  166, 85,  31,  143, 71,  20,  119, 57,  6,   95,  42,  0,
    67,  20,  0,   28,  0,   0,   245, 126, 33,  217, 112, 26,  192, 99,  22,
    166, 84,  11,  142, 70,  0,   119, 57,  0,   95,  41,  0,   66,  20,  0,
    27,  0,   0,   241, 102, 167, 213, 90,  149, 189, 79,  133, 165, 66,  115,
    141, 54,  98,  119, 41,  81,  96,  25,  63,  69,  0,   38,  30,  0,   0,
    241, 102, 149, 213, 90,  133, 189, 79,  119, 165, 66,  103, 142, 55,  88,
    119, 41,  71,  96,  25,  53,  69,  0,   31,  28,  0,   0,   241, 102, 135,
    214, 90,  121, 190, 79,  108, 165, 66,  92,  141, 55,  78,  119, 42,  63,
    96,  26,  46,  69,  0,   24,  28,  0,   0,   241, 101, 120, 214, 90,  107,
    189, 79,  95,  165, 67,  83,  141, 54,  68,  118, 41,  54,  95,  27,  39,
    68,  0,   16,  27,  0,   0,   241, 102, 106, 213, 90,  93,  189, 78,  82,
    164, 67,  70,  141, 55,  58,  118, 42,  45,  94,  27,  29,  67,  2,   6,
    27,  0,   0,   242, 101, 90,  214, 89,  79,  190, 79,  69,  166, 67,  59,
    141, 55,  47,  118, 41,  35,  95,  27,  19,  67,  3,   0,   26,  0,   0,
    242, 102, 72,  213, 89,  63,  191, 79,  56,  164, 67,  45,  141, 55,  34,
    118, 42,  22,  94,  28,  6,   67,  3,   0,   26,  0,   0,   242, 100, 51,
    214, 89,  45,  190, 78,  38,  164, 67,  30,  141, 55,  18,  118, 42,  3,
    95,  28,  0,   66,  4,   0,   26,  0,   0,   243, 100, 33,  214, 90,  27,
    190, 78,  22,  165, 67,  13,  141, 55,  0,   118, 43,  0,   94,  29,  0,
    66,  5,   0,   26,  0,   0,   237, 69,  153, 211, 58,  135, 187, 51,  121,
    163, 41,  105, 141, 28,  90,  118, 15,  73,  96,  0,   56,  68,  0,   33,
    25,  0,   0,   239, 67,  137, 212, 60,  123, 189, 50,  110, 163, 41,  94,
    141, 29,  79,  118, 17,  65,  95,  0,   48,  69,  0,   26,  25,  0,   0,
    240, 69,  124, 211, 60,  111, 188, 50,  98,  163, 42,  85,  141, 31,  72,
    118, 18,  57,  94,  0,   41,  68,  0,   19,  25,  0,   0,   240, 70,  112,
    212, 61,  99,  188, 52,  87,  163, 41,  74,  140, 31,  62,  118, 20,  48,
    94,  2,   32,  68,  0,   11,  24,  0,   0,   239, 70,  98,  212, 62,  86,
    188, 53,  77,  164, 42,  64,  140, 32,  52,  118, 20,  40,  94,  3,   24,
    67,  0,   3,   23,  0,   0,   239, 71,  85,  212, 61,  74,  187, 53,  65,
    163, 44,  54,  140, 34,  43,  118, 22,  30,  95,  3,   14,  67,  0,   0,
    23,  0,   0,   239, 70,  67,  212, 62,  59,  188, 53,  51,  163, 45,  42,
    141, 34,  31,  117, 22,  17,  94,  5,   2,   66,  0,   0,   23,  0,   0,
    239, 71,  50,  213, 62,  43,  188, 54,  37,  164, 45,  28,  139, 34,  16,
    117, 22,  2,   94,  7,   0,   65,  0,   0,   23,  0,   0,   240, 71,  34,
    212, 63,  29,  189, 54,  24,  163, 46,  15,  139, 36,  2,   117, 25,  0,
    94,  8,   0,   66,  0,   0,   23,  0,   0,   237, 0,   140, 209, 0,   124,
    186, 0,   112, 162, 0,   97,  141, 0,   82,  118, 0,   67,  95,  0,   49,
    68,  0,   27,  20,  0,   0,   237, 0,   126, 210, 0,   113, 187, 0,   99,
    163, 0,   86,  139, 0,   72,  118, 0,   58,  95,  0,   42,  67,  0,   20,
    20,  0,   0,   237, 1,   114, 209, 1,   102, 187, 0,   90,  163, 0,   78,
    139, 0,   64,  118, 0,   50,  95,  0,   35,  67,  0,   13,  20,  0,   0,
    236, 16,  102, 209, 7,   91,  186, 0,   80,  162, 0,   68,  139, 0,   56,
    117, 0,   43,  94,  0,   27,  67,  0,   6,   20,  0,   0,   238, 15,  89,
    209, 13,  79,  186, 6,   69,  162, 0,   58,  139, 0,   47,  117, 0,   34,
    93,  0,   20,  66,  0,   2,   20,  0,   0,   237, 20,  78,  210, 12,  68,
    187, 4,   59,  163, 0,   49,  139, 0,   38,  116, 0,   26,  94,  0,   11,
    66,  0,   0,   20,  0,   0,   237, 25,  64,  210, 18,  56,  186, 11,  48,
    162, 4,   39,  138, 0,   27,  117, 0,   14,  93,  0,   0,   66,  0,   0,
    20,  0,   0,   238, 25,  48,  210, 22,  43,  186, 15,  35,  162, 8,   26,
    140, 0,   14,  117, 0,   0,   93,  0,   0,   65,  0,   0,   20,  0,   0,
    238, 28,  35,  210, 21,  30,  187, 15,  24,  162, 8,   16,  139, 1,   2,
    117, 0,   0,   93,  0,   0,   65,  0,   0,   22,  0,   0,   219, 242, 252,
    195, 214, 225, 172, 191, 201, 148, 165, 175, 127, 142, 150, 106, 119, 126,
    84,  95,  101, 58,  66,  72,  24,  27,  32,  222, 239, 226, 196, 213, 202,
    173, 189, 180, 150, 165, 158, 129, 141, 135, 107, 118, 113, 85,  94,  90,
    58,  66,  63,  21,  26,  24,  223, 237, 203, 198, 211, 182, 175, 188, 163,
    152, 164, 141, 129, 140, 121, 107, 117, 101, 85,  93,  80,  58,  64,  54,
    21,  26,  18,  226, 236, 179, 201, 210, 160, 177, 187, 143, 153, 162, 125,
    130, 139, 106, 108, 116, 89,  85,  92,  69,  58,  64,  45,  20,  25,  8,
    227, 234, 153, 201, 208, 139, 178, 185, 124, 154, 161, 107, 131, 138, 91,
    108, 115, 75,  85,  91,  58,  58,  63,  35,  17,  25,  0,   229, 233, 130,
    203, 207, 116, 178, 184, 104, 154, 160, 90,  131, 137, 76,  109, 114, 62,
    85,  90,  46,  58,  63,  25,  16,  24,  0,   230, 231, 100, 202, 205, 90,
    179, 183, 80,  154, 159, 69,  131, 136, 57,  109, 113, 46,  86,  90,  32,
    58,  63,  10,  14,  24,  0,   230, 230, 65,  204, 204, 58,  180, 182, 52,
    155, 157, 44,  132, 135, 35,  110, 113, 24,  86,  89,  9,   57,  62,  0,
    11,  24,  0,   232, 230, 19,  204, 204, 19,  180, 181, 17,  155, 157, 10,
    131, 134, 2,   109, 112, 0,   85,  89,  0,   57,  62,  0,   10,  23,  0,
    218, 216, 236, 194, 192, 211, 172, 171, 188, 149, 149, 164, 128, 127, 141,
    106, 106, 119, 84,  84,  94,  59,  57,  66,  25,  18,  26,  221, 214, 211,
    196, 191, 190, 174, 170, 170, 150, 148, 148, 128, 126, 127, 107, 105, 106,
    85,  83,  84,  59,  56,  58,  23,  17,  18,  222, 213, 190, 197, 189, 170,
    175, 169, 153, 151, 147, 133, 129, 126, 113, 108, 105, 94,  85,  82,  74,
    59,  56,  49,  22,  17,  11,  224, 211, 168, 199, 188, 151, 175, 168, 135,
    152, 146, 117, 129, 124, 99,  107, 103, 82,  84,  82,  64,  59,  55,  41,
    21,  17,  1,   224, 210, 145, 199, 187, 130, 176, 166, 117, 152, 145, 101,
    129, 123, 86,  107, 103, 70,  85,  81,  53,  58,  55,  31,  19,  17,  0,
    227, 208, 123, 200, 186, 110, 177, 165, 98,  153, 143, 84,  130, 122, 70,
    108, 102, 57,  85,  80,  41,  58,  54,  20,  18,  16,  0,   227, 208, 97,
    202, 185, 86,  177, 164, 77,  153, 142, 65,  130, 122, 54,  108, 101, 42,
    85,  80,  27,  58,  54,  7,   16,  16,  0,   228, 206, 66,  202, 184, 58,
    178, 163, 50,  154, 141, 42,  131, 121, 33,  109, 101, 21,  86,  79,  5,
    58,  54,  0,   13,  16,  0,   228, 206, 29,  202, 183, 25,  178, 163, 20,
    154, 141, 15,  131, 121, 5,   108, 100, 0,   85,  79,  0,   58,  53,  0,
    13,  16,  0,   217, 193, 221, 193, 172, 198, 172, 153, 178, 149, 133, 154,
    128, 114, 132, 107, 94,  111, 85,  74,  89,  59,  49,  61,  25,  8,   22,
    219, 191, 198, 195, 171, 178, 173, 153, 159, 149, 132, 139, 128, 113, 119,
    107, 94,  100, 85,  73,  79,  59,  48,  52,  25,  7,   14,  221, 191, 180,
    196, 170, 160, 174, 152, 144, 150, 132, 125, 129, 113, 107, 107, 93,  89,
    85,  73,  69,  59,  48,  45,  23,  7,   4,   222, 189, 159, 197, 169, 142,
    174, 151, 127, 151, 131, 110, 129, 112, 94,  108, 93,  78,  85,  72,  60,
    58,  47,  37,  22,  7,   0,   223, 188, 138, 197, 168, 123, 175, 150, 109,
    151, 130, 95,  130, 111, 81,  108, 92,  65,  85,  72,  49,  59,  47,  27,
    21,  7,   0,   224, 187, 118, 198, 167, 105, 176, 149, 93,  152, 129, 79,
    130, 110, 68,  108, 91,  54,  85,  71,  38,  59,  47,  17,  18,  7,   0,
    224, 187, 93,  199, 166, 83,  176, 148, 73,  152, 128, 62,  129, 109, 51,
    108, 90,  39,  85,  71,  25,  58,  46,  3,   16,  8,   0,   226, 186, 64,
    200, 165, 57,  177, 147, 50,  153, 127, 40,  130, 108, 31,  108, 90,  19,
    85,  70,  3,   58,  46,  0,   16,  8,   0,   227, 185, 35,  200, 165, 30,
    176, 146, 25,  152, 127, 18,  130, 108, 7,   108, 89,  0,   85,  70,  0,
    57,  46,  0,   14,  8,   0,   216, 169, 205, 192, 150, 184, 171, 134, 164,
    149, 116, 144, 128, 99,  124, 107, 81,  103, 85,  63,  81,  60,  39,  55,
    26,  0,   15,  217, 168, 186, 193, 150, 165, 172, 134, 149, 150, 116, 130,
    128, 99,  111, 107, 81,  92,  85,  62,  72,  59,  39,  47,  25,  0,   6,
    219, 168, 168, 194, 149, 150, 173, 133, 135, 150, 116, 117, 128, 98,  99,
    107, 80,  82,  86,  62,  63,  59,  38,  39,  24,  0,   0,   219, 166, 148,
    195, 149, 133, 173, 133, 119, 150, 115, 103, 128, 98,  88,  107, 80,  72,
    85,  61,  54,  59,  38,  32,  23,  0,   0,   220, 166, 129, 196, 148, 116,
    174, 132, 103, 151, 114, 89,  129, 97,  75,  107, 79,  60,  85,  61,  44,
    59,  38,  22,  21,  0,   0,   222, 164, 110, 197, 147, 99,  175, 131, 87,
    151, 113, 75,  129, 96,  63,  107, 79,  49,  85,  61,  33,  58,  38,  12,
    19,  0,   0,   222, 164, 88,  197, 146, 79,  174, 130, 69,  151, 113, 58,
    129, 95,  47,  107, 78,  35,  85,  60,  20,  58,  38,  0,   18,  0,   0,
    223, 164, 63,  198, 145, 55,  175, 129, 48,  151, 112, 39,  129, 95,  29,
    107, 78,  16,  85,  60,  1,   58,  38,  0,   17,  0,   0,   223, 163, 36,
    198, 145, 32,  174, 129, 26,  151, 111, 17,  129, 95,  7,   107, 78,  0,
    84,  60,  0,   57,  37,  0,   15,  0,   0,   215, 147, 192, 191, 130, 172,
    170, 116, 153, 148, 100, 133, 127, 85,  115, 107, 69,  96,  85,  51,  75,
    60,  28,  50,  25,  0,   8,   217, 146, 173, 192, 130, 154, 171, 115, 138,
    149, 100, 121, 128, 84,  103, 107, 68,  85,  85,  51,  66,  60,  28,  42,
    25,  0,   0,   217, 145, 157, 193, 129, 140, 173, 115, 125, 149, 100, 109,
    128, 84,  92,  107, 68,  76,  85,  51,  58,  59,  28,  35,  23,  0,   0,
    218, 145, 140, 193, 129, 125, 172, 114, 110, 149, 99,  96,  128, 83,  81,
    107, 67,  65,  84,  51,  49,  59,  29,  27,  22,  0,   0,   219, 144, 121,
    194, 128, 108, 172, 113, 96,  149, 98,  83,  128, 83,  69,  107, 68,  55,
    85,  50,  40,  59,  28,  18,  20,  0,   0,   220, 143, 104, 195, 128, 93,
    173, 114, 82,  150, 98,  69,  127, 82,  58,  107, 67,  45,  85,  50,  30,
    59,  28,  7,   19,  0,   0,   220, 143, 84,  195, 127, 74,  173, 113, 65,
    149, 97,  55,  128, 82,  44,  106, 67,  32,  84,  50,  16,  58,  28,  0,
    18,  0,   0,   221, 142, 62,  196, 126, 53,  173, 112, 46,  150, 97,  37,
    128, 82,  26,  107, 66,  14,  84,  50,  0,   58,  28,  0,   16,  0,   0,
    222, 142, 38,  196, 126, 34,  174, 112, 27,  150, 96,  17,  128, 82,  6,
    106, 66,  0,   84,  50,  0,   57,  29,  0,   16,  0,   0,   214, 123, 179,
    191, 110, 159, 169, 98,  143, 147, 84,  124, 126, 70,  106, 107, 55,  88,
    85,  39,  69,  60,  15,  45,  23,  0,   2,   216, 123, 161, 192, 110, 144,
    170, 98,  129, 148, 84,  112, 127, 70,  95,  107, 55,  79,  85,  39,  61,
    60,  15,  37,  20,  0,   0,   217, 122, 145, 192, 110, 130, 170, 97,  116,
    149, 84,  101, 127, 70,  85,  106, 55,  70,  85,  39,  53,  59,  16,  30,
    19,  0,   0,   217, 123, 131, 192, 109, 116, 171, 96,  103, 149, 83,  89,
    127, 70,  75,  106, 55,  60,  85,  40,  45,  59,  16,  23,  17,  0,   0,
    217, 122, 114, 193, 109, 101, 172, 96,  91,  149, 82,  77,  128, 69,  64,
    106, 55,  50,  84,  39,  35,  59,  17,  14,  17,  0,   0,   218, 122, 98,
    194, 108, 87,  171, 96,  77,  149, 82,  65,  127, 69,  52,  106, 55,  40,
    84,  40,  25,  59,  18,  3,   15,  0,   0,   219, 122, 80,  193, 108, 70,
    172, 95,  61,  149, 82,  51,  127, 69,  40,  106, 55,  28,  84,  39,  12,
    58,  17,  0,   13,  0,   0,   219, 121, 59,  194, 108, 52,  172, 96,  44,
    149, 82,  35,  127, 68,  24,  106, 55,  11,  84,  40,  0,   57,  18,  0,
    13,  0,   0,   219, 121, 40,  193, 108, 33,  172, 95,  26,  149, 81,  19,
    128, 68,  6,   106, 54,  0,   84,  39,  0,   57,  18,  0,   13,  0,   0,
    213, 99,  165, 189, 87,  148, 169, 76,  132, 147, 64,  115, 126, 52,  98,
    106, 39,  81,  85,  23,  63,  60,  0,   39,  16,  0,   0,   214, 98,  149,
    191, 87,  133, 170, 76,  119, 148, 65,  103, 127, 53,  88,  106, 39,  72,
    85,  24,  55,  60,  0,   32,  15,  0,   0,   215, 99,  136, 191, 87,  121,
    170, 77,  108, 148, 65,  93,  126, 53,  79,  106, 40,  64,  85,  24,  47,
    59,  0,   25,  14,  0,   0,   215, 99,  121, 192, 87,  108, 170, 77,  96,
    148, 65,  82,  126, 53,  69,  106, 40,  55,  85,  25,  39,  59,  0,   18,
    13,  0,   0,   216, 99,  106, 191, 87,  95,  170, 76,  83,  148, 65,  71,
    126, 53,  58,  106, 41,  45,  85,  26,  30,  59,  0,   8,   11,  0,   0,
    216, 98,  91,  192, 88,  82,  170, 77,  71,  148, 65,  60,  127, 53,  48,
    105, 41,  36,  83,  26,  21,  58,  1,   2,   11,  0,   0,   217, 99,  75,
    192, 87,  66,  170, 76,  57,  148, 65,  47,  126, 53,  36,  105, 41,  24,
    83,  26,  8,   57,  2,   0,   9,   0,   0,   217, 98,  57,  192, 87,  49,
    171, 77,  41,  147, 65,  32,  126, 53,  21,  105, 41,  8,   84,  27,  0,
    57,  3,   0,   9,   0,   0,   217, 98,  40,  193, 87,  34,  171, 76,  27,
    148, 65,  19,  126, 53,  6,   105, 41,  0,   83,  27,  0,   57,  4,   0,
    9,   0,   0,   211, 67,  152, 189, 58,  136, 168, 50,  122, 147, 39,  105,
    127, 28,  89,  106, 14,  74,  85,  0,   56,  59,  0,   33,  9,   0,   0,
    213, 68,  138, 190, 59,  123, 169, 51,  109, 148, 40,  95,  126, 30,  80,
    106, 16,  65,  85,  0,   48,  59,  0,   27,  9,   0,   0,   214, 69,  125,
    190, 59,  111, 168, 51,  99,  148, 41,  86,  126, 31,  72,  106, 18,  58,
    85,  0,   41,  59,  0,   20,  7,   0,   0,   215, 70,  112, 190, 61,  100,
    169, 52,  88,  147, 42,  76,  126, 32,  63,  106, 19,  49,  84,  1,   34,
    58,  0,   13,  7,   0,   0,   214, 70,  99,  190, 62,  88,  169, 53,  77,
    147, 43,  65,  125, 32,  53,  106, 20,  40,  84,  3,   26,  58,  0,   4,
    7,   0,   0,   214, 71,  86,  190, 61,  75,  169, 53,  65,  146, 43,  54,
    126, 33,  44,  105, 21,  31,  83,  4,   17,  57,  0,   0,   7,   0,   0,
    215, 71,  71,  191, 62,  62,  169, 53,  53,  147, 44,  44,  126, 34,  33,
    105, 22,  20,  83,  5,   4,   57,  0,   0,   7,   0,   0,   215, 71,  54,
    191, 62,  47,  169, 54,  39,  147, 44,  30,  126, 35,  20,  105, 23,  6,
    83,  6,   0,   56,  0,   0,   5,   0,   0,   215, 71,  41,  191, 63,  34,
    170, 54,  27,  147, 45,  17,  126, 35,  6,   105, 23,  0,   83,  8,   0,
    56,  0,   0,   5,   0,   0,   210, 13,  140, 189, 1,   125, 167, 0,   110,
    146, 0,   96,  126, 0,   81,  106, 0,   67,  85,  0,   51,  59,  0,   28,
    4,   0,   0,   212, 18,  126, 190, 7,   113, 168, 0,   100, 146, 0,   86,
    126, 0,   73,  106, 0,   59,  84,  0,   43,  59,  0,   22,  4,   0,   0,
    212, 21,  115, 190, 13,  103, 168, 3,   91,  146, 0,   78,  125, 0,   65,
    105, 0,   52,  84,  0,   36,  58,  0,   16,  4,   0,   0,   213, 24,  103,
    189, 19,  91,  168, 9,   82,  146, 0,   69,  125, 0,   57,  105, 0,   44,
    84,  0,   29,  58,  0,   7,   4,   0,   0,   213, 27,  92,  188, 21,  81,
    168, 14,  71,  146, 1,   59,  125, 0,   48,  105, 0,   36,  84,  0,   21,
    58,  0,   4,   4,   0,   0,   213, 30,  80,  189, 22,  69,  168, 17,  61,
    146, 5,   50,  125, 0,   39,  104, 0,   27,  83,  0,   12,  57,  0,   0,
    4,   0,   0,   214, 30,  67,  189, 25,  57,  168, 20,  50,  146, 9,   40,
    125, 0,   29,  104, 0,   17,  83,  0,   2,   56,  0,   0,   4,   0,   0,
    214, 32,  53,  189, 27,  44,  169, 20,  38,  146, 13,  28,  124, 2,   17,
    104, 0,   4,   83,  0,   0,   56,  0,   0,   4,   0,   0,   214, 33,  41,
    190, 27,  33,  168, 23,  27,  146, 13,  18,  125, 3,   5,   105, 0,   0,
    83,  0,   0,   56,  0,   0,   4,   0,   0,   185, 229, 250, 164, 204, 223,
    146, 182, 199, 127, 158, 174, 108, 136, 149, 89,  113, 125, 70,  90,  100,
    46,  62,  71,  10,  25,  33,  189, 227, 225, 168, 202, 201, 148, 181, 179,
    129, 157, 156, 109, 135, 134, 90,  113, 113, 70,  89,  90,  46,  62,  62,
    8,   24,  25,  192, 226, 202, 170, 202, 182, 151, 179, 162, 130, 156, 141,
    110, 133, 121, 91,  112, 101, 71,  89,  80,  46,  61,  54,  7,   24,  19,
    194, 224, 179, 173, 200, 160, 153, 178, 144, 132, 155, 125, 112, 133, 107,
    92,  111, 89,  71,  88,  69,  46,  61,  45,  6,   23,  10,  196, 223, 155,
    174, 198, 139, 154, 176, 124, 132, 153, 107, 113, 131, 91,  92,  110, 75,
    72,  87,  58,  47,  60,  37,  4,   23,  0,   198, 221, 131, 175, 197, 117,
    155, 175, 105, 133, 152, 91,  113, 130, 76,  92,  109, 63,  72,  86,  47,
    46,  60,  26,  3,   23,  0,   200, 220, 104, 176, 196, 94,  156, 175, 84,
    134, 151, 72,  113, 129, 59,  93,  108, 47,  72,  85,  33,  46,  59,  13,
    0,   23,  0,   201, 219, 73,  179, 195, 65,  157, 173, 57,  135, 150, 48,
    114, 129, 39,  94,  108, 28,  72,  85,  15,  47,  59,  0,   0,   22,  0,
    203, 219, 42,  178, 195, 37,  157, 173, 32,  135, 150, 26,  114, 128, 16,
    94,  107, 6,   73,  85,  0,   46,  58,  0,   0,   22,  0,   186, 205, 233,
    165, 183, 209, 148, 163, 187, 128, 142, 163, 109, 121, 140, 91,  101, 118,
    71,  80,  94,  48,  54,  66,  12,  15,  27,  189, 204, 211, 169, 182, 189,
    151, 163, 169, 131, 141, 147, 111, 121, 126, 92,  101, 105, 72,  79,  84,
    48,  54,  58,  11,  15,  19,  192, 202, 190, 171, 181, 170, 152, 161, 152,
    131, 141, 133, 112, 120, 113, 93,  100, 94,  72,  79,  74,  48,  53,  50,
    10,  15,  11,  195, 201, 169, 172, 179, 151, 153, 160, 135, 132, 139, 117,
    113, 119, 100, 93,  99,  82,  72,  78,  64,  48,  53,  41,  9,   14,  3,
    195, 200, 146, 174, 179, 131, 154, 159, 117, 133, 138, 101, 113, 118, 86,
    93,  98,  70,  73,  77,  53,  48,  52,  32,  8,   15,  0,   198, 199, 125,
    175, 177, 111, 155, 158, 100, 133, 137, 85,  113, 117, 71,  93,  97,  57,
    72,  77,  42,  47,  52,  22,  5,   14,  0,   199, 198, 101, 176, 177, 89,
    155, 157, 79,  134, 136, 68,  113, 116, 56,  94,  97,  44,  73,  76,  30,
    47,  52,  10,  2,   15,  0,   200, 197, 72,  178, 176, 63,  157, 156, 56,
    135, 136, 46,  114, 116, 37,  94,  96,  26,  73,  76,  11,  47,  51,  0,
    0,   14,  0,   201, 197, 45,  177, 175, 38,  156, 155, 31,  135, 135, 25,
    114, 115, 17,  94,  96,  5,   73,  75,  0,   46,  51,  0,   0,   14,  0,
    187, 183, 218, 167, 165, 197, 149, 147, 176, 129, 127, 153, 111, 109, 132,
    92,  90,  111, 73,  70,  89,  49,  46,  62,  15,  4,   22,  190, 183, 197,
    170, 164, 177, 151, 146, 159, 130, 127, 139, 112, 109, 119, 93,  90,  99,
    72,  70,  78,  49,  45,  53,  14,  4,   15,  192, 182, 179, 171, 163, 161,
    153, 145, 144, 132, 126, 125, 113, 108, 107, 93,  89,  88,  73,  70,  69,
    49,  45,  45,  13,  5,   6,   195, 181, 159, 172, 162, 142, 152, 145, 127,
    132, 125, 111, 113, 107, 94,  93,  88,  77,  73,  69,  59,  48,  45,  37,
    11,  5,   0,   195, 180, 139, 173, 161, 124, 153, 143, 110, 133, 125, 96,
    113, 106, 81,  94,  88,  66,  73,  68,  49,  49,  44,  28,  9,   6,   0,
    196, 179, 118, 174, 160, 106, 154, 142, 94,  133, 124, 81,  113, 105, 68,
    94,  87,  54,  73,  68,  39,  48,  44,  18,  5,   5,   0,   197, 178, 96,
    176, 159, 86,  155, 141, 75,  134, 123, 64,  114, 105, 53,  94,  87,  40,
    73,  68,  26,  48,  44,  5,   2,   6,   0,   199, 178, 70,  176, 158, 62,
    156, 141, 54,  134, 122, 44,  114, 104, 35,  94,  86,  23,  73,  67,  8,
    47,  44,  0,   2,   6,   0,   199, 177, 45,  178, 158, 40,  156, 140, 32,
    135, 122, 26,  114, 104, 16,  94,  86,  4,   73,  67,  0,   47,  44,  0,
    0,   7,   0,   188, 161, 204, 168, 144, 183, 149, 129, 164, 130, 112, 144,
    112, 95,  123, 93,  78,  103, 74,  60,  81,  50,  36,  56,  16,  0,   16,
    190, 160, 185, 170, 144, 165, 151, 128, 148, 132, 111, 130, 112, 95,  110,
    93,  78,  92,  74,  59,  72,  50,  36,  48,  16,  0,   8,   192, 160, 167,
    171, 143, 150, 153, 128, 134, 132, 111, 117, 112, 94,  100, 94,  77,  82,
    74,  59,  63,  50,  36,  40,  14,  0,   0,   193, 159, 149, 172, 143, 134,
    153, 127, 119, 133, 110, 103, 113, 94,  87,  93,  77,  72,  73,  59,  54,
    50,  36,  32,  12,  0,   0,   195, 159, 131, 173, 142, 117, 153, 127, 104,
    132, 110, 90,  113, 93,  76,  93,  76,  61,  74,  59,  45,  49,  36,  23,
    9,   0,   0,   196, 158, 113, 174, 141, 101, 155, 126, 89,  133, 109, 76,
    113, 93,  64,  94,  76,  51,  74,  58,  35,  49,  36,  14,  6,   0,   0,
    197, 157, 92,  174, 141, 80,  154, 125, 71,  134, 108, 60,  114, 92,  50,
    94,  75,  37,  73,  58,  22,  48,  36,  1,   5,   0,   0,   197, 157, 68,
    175, 140, 59,  155, 124, 51,  134, 108, 41,  113, 91,  32,  94,  75,  21,
    73,  57,  5,   48,  35,  0,   5,   0,   0,   198, 156, 46,  176, 140, 40,
    155, 124, 32,  134, 107, 24,  114, 91,  14,  94,  75,  2,   73,  57,  0,
    48,  36,  0,   3,   0,   0,   189, 140, 191, 168, 126, 172, 150, 112, 154,
    131, 97,  134, 112, 82,  115, 94,  66,  96,  74,  49,  75,  51,  25,  50,
    12,  0,   10,  191, 139, 173, 170, 125, 154, 152, 111, 138, 132, 96,  121,
    113, 81,  103, 94,  66,  85,  74,  48,  66,  50,  26,  42,  12,  0,   1,
    192, 139, 157, 171, 125, 140, 152, 111, 125, 132, 96,  109, 113, 81,  92,
    94,  65,  76,  74,  48,  58,  50,  26,  35,  9,   0,   0,   193, 139, 140,
    172, 124, 125, 153, 110, 112, 133, 95,  96,  113, 80,  82,  94,  65,  66,
    74,  49,  50,  50,  26,  28,  7,   0,   0,   194, 138, 123, 172, 123, 109,
    153, 110, 97,  133, 95,  84,  113, 80,  70,  94,  65,  56,  74,  48,  40,
    50,  26,  20,  6,   0,   0,   194, 138, 105, 173, 123, 94,  153, 109, 83,
    133, 94,  70,  112, 79,  59,  94,  64,  46,  74,  48,  31,  50,  26,  9,
    4,   0,   0,   196, 138, 87,  174, 122, 77,  153, 109, 67,  133, 93,  56,
    113, 79,  46,  94,  64,  34,  73,  48,  18,  49,  27,  0,   4,   0,   0,
    196, 137, 65,  174, 122, 57,  154, 108, 49,  133, 93,  39,  113, 79,  29,
    94,  64,  18,  74,  48,  3,   49,  27,  0,   2,   0,   0,   197, 137, 47,
    175, 122, 40,  155, 108, 32,  133, 93,  23,  114, 79,  14,  94,  64,  1,
    73,  48,  0,   48,  27,  0,   2,   0,   0,   189, 119, 177, 168, 106, 159,
    150, 94,  142, 131, 81,  124, 113, 67,  107, 94,  53,  89,  74,  37,  69,
    51,  11,  45,  6,   0,   3,   191, 119, 161, 170, 106, 144, 152, 94,  129,
    132, 81,  112, 113, 67,  96,  94,  53,  79,  74,  37,  61,  51,  13,  38,
    6,   0,   0,   192, 119, 146, 170, 106, 131, 152, 94,  117, 132, 80,  101,
    112, 67,  85,  94,  53,  70,  74,  37,  53,  50,  14,  31,  4,   0,   0,
    192, 119, 131, 171, 106, 117, 153, 94,  105, 132, 80,  89,  113, 67,  75,
    94,  54,  61,  74,  38,  45,  51,  14,  23,  3,   0,   0,   193, 118, 114,
    171, 106, 102, 153, 93,  90,  132, 80,  78,  113, 67,  65,  94,  53,  52,
    74,  37,  36,  50,  15,  16,  1,   0,   0,   194, 118, 99,  172, 105, 89,
    153, 93,  78,  132, 80,  66,  113, 67,  54,  94,  53,  42,  74,  38,  27,
    50,  16,  5,   1,   0,   0,   194, 118, 82,  173, 105, 72,  153, 93,  63,
    132, 79,  53,  113, 67,  42,  94,  53,  30,  74,  38,  15,  49,  16,  0,
    0,   0,   0,   195, 117, 63,  173, 105, 55,  154, 93,  47,  133, 79,  37,
    113, 66,  27,  94,  53,  15,  73,  38,  0,   48,  16,  0,   0,   0,   0,
    195, 117, 46,  173, 104, 39,  154, 92,  32,  133, 79,  22,  113, 66,  13,
    94,  53,  0,   73,  38,  0,   48,  17,  0,   0,   0,   0,   189, 96,  166,
    168, 85,  147, 150, 74,  132, 131, 62,  115, 113, 51,  99,  94,  38,  82,
    74,  21,  63,  51,  0,   40,  1,   0,   0,   190, 96,  150, 170, 85,  133,
    152, 75,  119, 132, 63,  104, 113, 51,  88,  94,  38,  72,  75,  22,  55,
    51,  0,   33,  1,   0,   0,   192, 96,  137, 170, 85,  121, 152, 74,  108,
    132, 64,  94,  113, 52,  79,  94,  39,  64,  74,  23,  48,  50,  0,   26,
    0,   0,   0,   192, 96,  122, 171, 86,  109, 152, 75,  96,  132, 63,  83,
    113, 52,  69,  94,  39,  56,  74,  24,  41,  50,  0,   19,  0,   0,   0,
    193, 96,  107, 171, 85,  96,  152, 75,  84,  132, 64,  72,  113, 52,  60,
    94,  39,  47,  74,  24,  32,  50,  1,   10,  0,   0,   0,   193, 96,  93,
    172, 85,  82,  152, 75,  72,  133, 63,  61,  113, 51,  49,  94,  39,  37,
    73,  25,  23,  49,  2,   2,   0,   0,   0,   194, 96,  78,  172, 85,  68,
    152, 75,  59,  132, 63,  49,  113, 52,  39,  94,  40,  26,  73,  25,  11,
    48,  3,   0,   0,   0,   0,   194, 96,  60,  173, 85,  52,  153, 75,  44,
    132, 64,  35,  112, 52,  25,  94,  40,  12,  73,  26,  0,   48,  4,   0,
    0,   0,   0,   195, 96,  46,  173, 85,  38,  154, 74,  31,  133, 63,  22,
    113, 52,  11,  93,  40,  0,   73,  26,  0,   47,  5,   0,   0,   0,   0,
    188, 67,  153, 168, 58,  137, 151, 49,  122, 131, 39,  106, 113, 28,  90,
    94,  13,  75,  75,  0,   57,  51,  0,   35,  0,   0,   0,   190, 68,  138,
    170, 59,  123, 152, 50,  110, 132, 41,  96,  113, 29,  80,  94,  16,  66,
    75,  0,   49,  50,  0,   27,  0,   0,   0,   191, 69,  126, 170, 59,  112,
    151, 52,  100, 132, 42,  86,  113, 30,  73,  95,  17,  58,  75,  0,   42,
    50,  0,   21,  0,   0,   0,   192, 70,  113, 170, 61,  100, 151, 52,  89,
    132, 42,  77,  113, 31,  64,  94,  19,  50,  74,  1,   35,  50,  0,   14,
    0,   0,   0,   192, 70,  100, 170, 62,  89,  151, 53,  77,  131, 43,  66,
    112, 32,  54,  94,  20,  42,  74,  2,   27,  49,  0,   5,   0,   0,   0,
    192, 71,  87,  171, 61,  77,  152, 53,  67,  131, 44,  57,  112, 33,  45,
    94,  21,  33,  74,  4,   19,  49,  0,   1,   0,   0,   0,   193, 71,  74,
    171, 62,  64,  152, 53,  55,  132, 44,  45,  113, 34,  34,  94,  22,  23,
    73,  5,   7,   48,  0,   0,   0,   0,   0,   193, 70,  58,  172, 62,  50,
    152, 54,  42,  132, 44,  32,  112, 35,  22,  93,  23,  10,  73,  6,   0,
    47,  0,   0,   0,   0,   0,   193, 70,  45,  172, 62,  38,  153, 54,  31,
    132, 44,  21,  112, 35,  9,   94,  23,  0,   73,  7,   0,   47,  0,   0,
    0,   0,   0,   189, 26,  141, 169, 15,  126, 150, 2,   112, 131, 0,   97,
    113, 0,   82,  94,  0,   67,  75,  0,   51,  50,  0,   29,  0,   0,   0,
    190, 28,  128, 170, 18,  114, 151, 8,   101, 132, 0,   88,  113, 0,   74,
    94,  0,   60,  75,  0,   44,  50,  0,   23,  0,   0,   0,   191, 30,  117,
    170, 23,  104, 152, 11,  92,  132, 1,   79,  113, 0,   67,  95,  0,   53,
    75,  0,   37,  50,  0,   17,  0,   0,   0,   191, 33,  105, 170, 26,  93,
    151, 18,  83,  132, 6,   70,  112, 0,   58,  94,  0,   45,  75,  0,   30,
    49,  0,   8,   0,   0,   0,   191, 34,  93,  170, 27,  82,  151, 20,  72,
    131, 8,   61,  112, 0,   49,  94,  0,   38,  74,  0,   23,  49,  0,   4,
    0,   0,   0,   191, 36,  82,  170, 29,  71,  151, 22,  63,  131, 11,  52,
    112, 0,   41,  93,  0,   29,  74,  0,   14,  48,  0,   1,   0,   0,   0,
    191, 38,  69,  170, 31,  60,  151, 24,  51,  131, 14,  41,  112, 1,   31,
    93,  0,   19,  73,  0,   3,   48,  0,   0,   0,   0,   0,   192, 37,  56,
    171, 31,  47,  152, 25,  40,  131, 17,  30,  112, 4,   19,  93,  0,   7,
    73,  0,   0,   47,  0,   0,   0,   0,   0,   192, 38,  45,  171, 33,  36,
    152, 26,  30,  131, 18,  21,  111, 7,   9,   93,  0,   0,   73,  0,   0,
    47,  0,   0,   0,   0,   0,   149, 218, 248, 133, 194, 222, 119, 173, 198,
    102, 151, 173, 86,  130, 148, 70,  108, 125, 53,  85,  100, 32,  59,  71,
    0,   22,  33,  154, 216, 223, 137, 193, 200, 122, 172, 178, 106, 150, 156,
    89,  128, 133, 73,  107, 112, 54,  85,  89,  31,  59,  63,  0,   22,  26,
    159, 215, 202, 141, 192, 181, 126, 171, 161, 108, 149, 141, 90,  128, 121,
    74,  107, 100, 55,  85,  80,  32,  58,  55,  0,   22,  19,  161, 213, 179,
    144, 190, 160, 126, 170, 143, 109, 148, 125, 92,  127, 107, 74,  106, 89,
    56,  84,  69,  32,  58,  46,  0,   21,  11,  163, 211, 156, 144, 189, 139,
    129, 168, 125, 110, 147, 108, 93,  126, 92,  75,  105, 76,  57,  83,  58,
    33,  58,  37,  0,   21,  1,   167, 211, 133, 147, 188, 120, 130, 167, 105,
    110, 145, 92,  93,  125, 78,  76,  104, 64,  58,  83,  48,  33,  57,  27,
    0,   21,  0,   169, 210, 108, 149, 187, 96,  131, 166, 86,  112, 144, 74,
    94,  124, 62,  77,  103, 49,  58,  82,  35,  33,  57,  15,  0,   21,  0,
    170, 209, 80,  151, 186, 71,  133, 165, 62,  114, 143, 52,  95,  123, 42,
    77,  103, 32,  58,  81,  18,  33,  56,  0,   0,   21,  0,   173, 208, 55,
    152, 186, 49,  134, 165, 41,  114, 143, 34,  95,  122, 25,  77,  102, 14,
    58,  81,  0,   33,  56,  0,   0,   21,  0,   154, 195, 232, 137, 174, 207,
    122, 156, 185, 105, 136, 163, 89,  116, 140, 73,  97,  117, 56,  76,  94,
    35,  51,  66,  0,   13,  28,  158, 194, 209, 141, 174, 187, 125, 155, 167,
    109, 135, 146, 91,  116, 125, 75,  96,  105, 57,  75,  83,  35,  50,  57,
    0,   12,  21,  161, 193, 189, 144, 173, 169, 128, 154, 151, 110, 134, 132,
    93,  115, 113, 77,  95,  94,  58,  75,  74,  35,  50,  50,  0,   12,  13,
    164, 192, 168, 145, 171, 151, 129, 153, 134, 111, 133, 117, 94,  114, 100,
    76,  95,  82,  58,  75,  64,  36,  50,  42,  0,   12,  5,   165, 191, 147,
    147, 170, 131, 130, 152, 117, 113, 132, 102, 95,  113, 86,  77,  94,  71,
    58,  74,  54,  35,  50,  33,  0,   13,  0,   167, 189, 126, 148, 169, 113,
    132, 151, 100, 113, 131, 86,  96,  112, 73,  77,  93,  59,  59,  73,  43,
    35,  49,  23,  0,   12,  0,   170, 189, 104, 150, 168, 91,  133, 150, 81,
    114, 130, 69,  96,  111, 57,  78,  92,  46,  59,  73,  31,  35,  49,  11,
    0,   13,  0,   171, 188, 78,  152, 168, 68,  134, 149, 60,  115, 130, 50,
    96,  111, 41,  78,  92,  29,  60,  73,  15,  35,  49,  0,   0,   12,  0,
    173, 187, 55,  153, 167, 47,  134, 149, 39,  115, 129, 33,  97,  110, 24,
    79,  92,  13,  60,  72,  0,   35,  48,  0,   0,   12,  0,   157, 175, 217,
    139, 157, 196, 125, 141, 175, 109, 122, 153, 92,  104, 132, 76,  86,  110,
    59,  67,  88,  37,  43,  61,  1,   1,   23,  161, 174, 196, 144, 156, 176,
    127, 140, 158, 110, 121, 137, 94,  104, 118, 77,  85,  98,  59,  67,  78,
    37,  43,  53,  0,   2,   16,  163, 174, 178, 146, 156, 160, 130, 139, 143,
    112, 121, 124, 95,  103, 106, 78,  85,  88,  60,  66,  69,  37,  42,  46,
    0,   2,   7,   166, 173, 159, 147, 154, 142, 130, 138, 127, 113, 120, 111,
    96,  103, 95,  78,  84,  77,  60,  66,  59,  37,  43,  37,  0,   2,   0,
    166, 172, 139, 148, 154, 125, 131, 137, 112, 113, 120, 96,  96,  102, 81,
    78,  84,  66,  60,  65,  50,  37,  42,  29,  0,   3,   0,   167, 171, 120,
    149, 153, 107, 133, 137, 95,  114, 118, 81,  97,  101, 69,  79,  84,  56,
    60,  65,  40,  37,  42,  19,  0,   3,   0,   170, 170, 99,  151, 152, 87,
    134, 136, 77,  115, 118, 66,  97,  101, 55,  79,  83,  42,  61,  65,  28,
    37,  42,  7,   0,   3,   0,   172, 170, 75,  152, 151, 65,  134, 135, 57,
    115, 117, 48,  97,  100, 38,  79,  83,  27,  61,  64,  12,  36,  42,  0,
    0,   3,   0,   172, 169, 55,  154, 151, 46,  135, 134, 40,  116, 116, 32,
    97,  99,  21,  80,  82,  10,  61,  64,  0,   36,  41,  0,   0,   3,   0,
    160, 154, 203, 143, 139, 182, 127, 124, 164, 111, 107, 143, 95,  91,  122,
    78,  75,  103, 60,  57,  81,  39,  33,  56,  1,   0,   18,  163, 154, 184,
    146, 138, 165, 130, 123, 148, 113, 107, 129, 96,  90,  110, 79,  74,  92,
    61,  56,  72,  39,  34,  48,  2,   0,   9,   165, 154, 167, 147, 137, 149,
    131, 122, 134, 114, 106, 117, 96,  90,  100, 79,  74,  82,  61,  56,  64,
    39,  33,  40,  2,   0,   1,   166, 153, 150, 149, 137, 133, 132, 122, 119,
    114, 106, 104, 97,  90,  88,  79,  74,  72,  61,  56,  55,  39,  34,  33,
    0,   0,   0,   168, 152, 132, 149, 136, 117, 132, 121, 104, 114, 105, 90,
    97,  89,  76,  79,  73,  62,  61,  56,  46,  38,  34,  25,  0,   0,   0,
    169, 151, 114, 150, 135, 101, 133, 121, 90,  114, 104, 77,  97,  89,  65,
    80,  73,  51,  61,  56,  36,  38,  34,  16,  0,   0,   0,   170, 150, 94,
    151, 135, 83,  134, 120, 73,  115, 104, 62,  98,  88,  51,  80,  72,  39,
    61,  56,  24,  38,  34,  3,   0,   0,   0,   172, 150, 72,  153, 134, 63,
    135, 119, 55,  115, 103, 45,  98,  88,  36,  80,  72,  24,  61,  55,  9,
    38,  34,  0,   0,   0,   0,   172, 150, 54,  153, 134, 47,  135, 119, 38,
    116, 103, 30,  98,  87,  21,  80,  72,  8,   62,  55,  0,   37,  34,  0,
    0,   0,   0,   162, 134, 190, 145, 120, 171, 129, 108, 153, 113, 93,  134,
    97,  78,  115, 80,  63,  96,  62,  46,  75,  41,  23,  51,  0,   0,   11,
    165, 134, 173, 147, 120, 154, 131, 107, 138, 114, 92,  120, 97,  78,  103,
    80,  63,  85,  62,  46,  66,  40,  23,  43,  0,   0,   2,   166, 134, 157,
    148, 120, 140, 132, 106, 125, 114, 92,  109, 97,  77,  93,  81,  63,  77,
    62,  46,  58,  40,  24,  36,  0,   0,   0,   168, 133, 140, 149, 119, 125,
    132, 106, 112, 115, 92,  97,  98,  77,  82,  81,  62,  67,  62,  46,  50,
    40,  24,  29,  0,   0,   0,   168, 133, 123, 150, 119, 110, 133, 106, 97,
    115, 91,  84,  98,  77,  70,  81,  62,  57,  62,  46,  41,  40,  24,  20,
    0,   0,   0,   169, 132, 107, 150, 118, 94,  133, 105, 84,  115, 91,  72,
    98,  76,  60,  80,  62,  47,  62,  46,  32,  39,  25,  11,  0,   0,   0,
    171, 132, 89,  152, 118, 79,  135, 105, 69,  115, 90,  58,  98,  76,  47,
    80,  62,  36,  62,  46,  21,  39,  25,  0,   0,   0,   0,   171, 132, 69,
    153, 117, 60,  135, 104, 52,  116, 90,  42,  98,  76,  33,  81,  61,  21,
    62,  46,  6,   38,  25,  0,   0,   0,   0,   172, 132, 54,  153, 118, 45,
    135, 104, 38,  116, 90,  28,  98,  76,  18,  81,  61,  6,   62,  46,  0,
    38,  25,  0,   0,   0,   0,   164, 115, 177, 146, 103, 159, 130, 91,  143,
    114, 78,  125, 97,  65,  107, 81,  51,  89,  63,  34,  69,  41,  9,   46,
    0,   0,   4,   166, 115, 161, 148, 103, 144, 132, 91,  129, 115, 78,  112,
    98,  65,  96,  81,  51,  79,  63,  35,  61,  41,  11,  38,  0,   0,   0,
    167, 115, 146, 150, 102, 131, 132, 91,  117, 115, 78,  101, 98,  65,  86,
    81,  51,  71,  63,  35,  54,  41,  12,  32,  0,   0,   0,   168, 114, 132,
    150, 103, 118, 133, 91,  105, 116, 78,  91,  98,  64,  76,  82,  51,  61,
    63,  36,  46,  41,  13,  24,  0,   0,   0,   169, 114, 116, 150, 102, 103,
    134, 90,  91,  116, 78,  79,  98,  65,  66,  81,  51,  53,  63,  36,  37,
    40,  14,  17,  0,   0,   0,   169, 114, 101, 151, 101, 89,  134, 90,  79,
    116, 77,  67,  98,  64,  56,  81,  51,  44,  63,  36,  29,  40,  15,  7,
    0,   0,   0,   170, 114, 85,  152, 101, 75,  135, 90,  65,  116, 77,  54,
    98,  64,  44,  81,  51,  32,  63,  36,  17,  39,  15,  0,   0,   0,   0,
    172, 113, 66,  152, 101, 58,  135, 89,  49,  116, 77,  40,  99,  64,  30,
    81,  51,  18,  62,  36,  3,   38,  16,  0,   0,   0,   0,   171, 113, 51,
    153, 101, 44,  136, 89,  36,  116, 77,  28,  99,  64,  18,  81,  51,  5,
    62,  36,  0,   38,  16,  0,   0,   0,   0,   165, 94,  166, 147, 82,  147,
    132, 72,  132, 115, 61,  115, 98,  49,  99,  82,  36,  82,  64,  19,  64,
    42,  0,   41,  0,   0,   0,   167, 93,  150, 150, 83,  134, 133, 73,  120,
    116, 62,  104, 99,  49,  88,  82,  36,  72,  64,  20,  55,  41,  0,   33,
    0,   0,   0,   169, 93,  137, 150, 83,  122, 134, 73,  109, 116, 61,  94,
    99,  50,  80,  82,  37,  65,  64,  21,  49,  41,  0,   27,  0,   0,   0,
    169, 94,  123, 150, 83,  110, 133, 73,  97,  116, 61,  83,  99,  50,  70,
    82,  38,  57,  63,  23,  42,  41,  0,   20,  0,   0,   0,   169, 94,  109,
    150, 84,  97,  134, 73,  85,  116, 62,  73,  99,  51,  61,  81,  38,  48,
    63,  23,  33,  41,  1,   11,  0,   0,   0,   170, 94,  96,  150, 83,  84,
    134, 73,  74,  116, 61,  62,  99,  50,  51,  82,  38,  39,  64,  23,  24,
    40,  3,   4,   0,   0,   0,   171, 93,  79,  152, 82,  70,  135, 73,  61,
    116, 62,  51,  98,  51,  40,  81,  38,  28,  63,  24,  14,  39,  4,   0,
    0,   0,   0,   171, 94,  64,  152, 83,  55,  135, 73,  47,  116, 62,  37,
    98,  50,  27,  81,  38,  15,  63,  24,  1,   39,  4,   0,   0,   0,   0,
    172, 93,  51,  153, 82,  42,  135, 73,  35,  117, 62,  26,  99,  51,  16,
    81,  39,  3,   63,  25,  0,   38,  5,   0,   0,   0,   0,   166, 68,  153,
    148, 59,  137, 133, 49,  121, 115, 39,  106, 99,  28,  91,  82,  13,  75,
    65,  0,   58,  42,  0,   36,  0,   0,   0,   168, 68,  139, 150, 59,  124,
    134, 50,  110, 116, 40,  96,  99,  30,  81,  82,  16,  66,  64,  0,   50,
    41,  0,   29,  0,   0,   0,   169, 69,  126, 150, 59,  113, 134, 51,  101,
    117, 42,  87,  100, 30,  73,  82,  17,  59,  65,  0,   43,  41,  0,   23,
    0,   0,   0,   169, 70,  115, 150, 61,  102, 134, 52,  89,  116, 42,  77,
    99,  32,  65,  82,  19,  52,  64,  0,   36,  41,  0,   15,  0,   0,   0,
    169, 70,  101, 150, 61,  90,  134, 52,  79,  116, 43,  68,  99,  32,  55,
    82,  21,  43,  64,  2,   28,  41,  0,   6,   0,   0,   0,   170, 70,  89,
    151, 62,  79,  134, 53,  69,  116, 44,  58,  99,  33,  46,  81,  21,  34,
    64,  3,   20,  41,  0,   2,   0,   0,   0,   170, 71,  76,  152, 62,  66,
    134, 53,  57,  116, 43,  46,  99,  33,  36,  82,  22,  24,  64,  5,   10,
    40,  0,   0,   0,   0,   0,   171, 70,  61,  152, 62,  52,  135, 53,  44,
    116, 44,  35,  99,  34,  24,  82,  22,  12,  63,  6,   0,   39,  0,   0,
    0,   0,   0,   171, 71,  49,  153, 62,  41,  135, 54,  33,  117, 45,  25,
    98,  34,  13,  81,  23,  0,   63,  7,   0,   39,  0,   0,   0,   0,   0,
    167, 33,  142, 149, 24,  127, 134, 10,  113, 116, 0,   97,  100, 0,   83,
    83,  0,   68,  65,  0,   52,  40,  0,   30,  0,   0,   0,   169, 33,  129,
    150, 26,  115, 134, 17,  102, 116, 3,   89,  100, 0,   75,  83,  0,   60,
    65,  0,   45,  40,  0,   24,  0,   0,   0,   169, 36,  118, 151, 27,  104,
    134, 19,  93,  116, 7,   80,  100, 0,   67,  83,  0,   54,  65,  0,   38,
    41,  0,   17,  0,   0,   0,   169, 39,  107, 150, 30,  94,  134, 22,  84,
    116, 11,  71,  99,  0,   59,  83,  0,   46,  64,  0,   31,  40,  0,   9,
    0,   0,   0,   169, 39,  95,  151, 31,  83,  134, 24,  73,  116, 15,  62,
    100, 1,   51,  83,  0,   38,  64,  0,   24,  40,  0,   5,   0,   0,   0,
    169, 41,  83,  151, 33,  73,  134, 26,  64,  117, 17,  54,  99,  4,   42,
    82,  0,   30,  64,  0,   16,  40,  0,   1,   0,   0,   0,   170, 42,  71,
    152, 34,  62,  134, 28,  53,  117, 19,  44,  99,  6,   33,  82,  0,   21,
    63,  0,   4,   39,  0,   0,   0,   0,   0,   171, 42,  59,  152, 35,  50,
    134, 29,  42,  117, 21,  32,  99,  9,   22,  82,  0,   9,   63,  0,   0,
    38,  0,   0,   0,   0,   0,   172, 42,  48,  152, 36,  40,  135, 29,  32,
    117, 21,  23,  99,  10,  12,  82,  0,   0,   63,  0,   0,   38,  0,   0,
    0,   0,   0,   107, 207, 246, 96,  185, 220, 86,  165, 196, 73,  144, 171,
    60,  123, 147, 46,  103, 125, 32,  82,  100, 9,   56,  71,  0,   20,  33,
    115, 206, 221, 104, 184, 198, 92,  164, 178, 78,  143, 154, 64,  123, 133,
    51,  102, 111, 34,  81,  89,  10,  56,  63,  0,   20,  27,  122, 204, 200,
    108, 183, 180, 95,  163, 161, 82,  142, 140, 68,  122, 120, 54,  102, 101,
    36,  81,  79,  11,  56,  55,  0,   20,  20,  125, 203, 179, 111, 181, 160,
    97,  162, 143, 85,  141, 124, 70,  121, 107, 55,  101, 89,  38,  80,  69,
    14,  55,  46,  0,   19,  10,  128, 202, 156, 113, 180, 140, 102, 161, 125,
    87,  140, 108, 71,  120, 92,  56,  100, 76,  39,  79,  59,  14,  55,  38,
    0,   20,  3,   132, 200, 135, 117, 179, 121, 103, 159, 106, 88,  139, 93,
    73,  119, 79,  57,  100, 65,  41,  79,  49,  15,  54,  28,  0,   19,  0,
    134, 200, 111, 119, 178, 98,  105, 158, 87,  89,  138, 76,  74,  118, 64,
    58,  99,  51,  41,  78,  37,  16,  54,  17,  0,   19,  0,   137, 199, 85,
    122, 177, 75,  108, 158, 66,  91,  137, 56,  75,  118, 46,  59,  98,  35,
    42,  78,  22,  16,  54,  3,   0,   19,  0,   140, 198, 62,  125, 177, 55,
    109, 158, 47,  92,  137, 40,  76,  117, 32,  59,  98,  21,  42,  78,  6,
    16,  54,  0,   0,   18,  0,   118, 186, 231, 106, 167, 206, 93,  149, 184,
    81,  130, 161, 67,  111, 139, 54,  92,  117, 39,  72,  93,  17,  48,  66,
    0,   10,  29,  123, 185, 207, 110, 166, 186, 98,  148, 167, 85,  129, 145,
    71,  111, 125, 56,  92,  104, 40,  72,  83,  18,  48,  57,  0,   10,  22,
    128, 184, 188, 113, 165, 168, 102, 147, 151, 88,  128, 131, 73,  110, 113,
    58,  91,  94,  42,  71,  74,  19,  48,  50,  0,   9,   15,  131, 183, 168,
    116, 164, 151, 104, 146, 134, 89,  127, 117, 73,  109, 100, 58,  90,  83,
    42,  71,  65,  20,  48,  42,  0,   9,   5,   134, 182, 148, 120, 163, 131,
    105, 145, 118, 90,  126, 102, 75,  108, 86,  59,  90,  72,  43,  71,  55,
    19,  47,  34,  0,   9,   0,   136, 181, 128, 122, 162, 115, 107, 144, 102,
    92,  125, 87,  76,  107, 74,  61,  89,  60,  44,  70,  45,  20,  47,  24,
    0,   8,   0,   139, 180, 106, 124, 161, 95,  109, 144, 83,  93,  124, 71,
    77,  107, 60,  61,  89,  47,  44,  70,  33,  20,  47,  13,  0,   8,   0,
    142, 179, 82,  125, 160, 72,  111, 143, 63,  94,  124, 54,  77,  106, 44,
    61,  88,  32,  44,  69,  18,  20,  46,  0,   0,   8,   0,   143, 179, 62,
    127, 160, 54,  111, 142, 47,  94,  124, 39,  78,  106, 29,  62,  88,  18,
    45,  69,  3,   20,  46,  0,   0,   8,   0,   124, 167, 216, 112, 150, 194,
    99,  134, 174, 87,  117, 153, 73,  100, 131, 58,  82,  110, 43,  64,  88,
    23,  40,  61,  0,   0,   24,  129, 166, 195, 116, 150, 175, 103, 134, 158,
    89,  116, 137, 75,  99,  118, 60,  82,  98,  44,  63,  78,  23,  40,  53,
    0,   0,   17,  132, 166, 177, 119, 149, 160, 106, 133, 143, 90,  115, 124,
    76,  99,  107, 61,  81,  88,  45,  63,  69,  24,  40,  46,  0,   0,   9,
    136, 166, 159, 121, 148, 143, 107, 132, 126, 92,  115, 111, 77,  98,  94,
    62,  81,  78,  46,  63,  60,  23,  40,  38,  0,   0,   0,   138, 164, 140,
    122, 147, 125, 108, 131, 111, 93,  114, 97,  79,  98,  82,  63,  80,  67,
    46,  62,  50,  24,  40,  29,  0,   0,   0,   139, 163, 122, 124, 146, 109,
    110, 131, 96,  94,  114, 83,  79,  97,  70,  63,  81,  57,  46,  62,  41,
    24,  40,  21,  0,   0,   0,   141, 163, 101, 126, 145, 90,  111, 130, 79,
    95,  113, 68,  79,  96,  56,  63,  80,  44,  47,  62,  30,  23,  40,  10,
    0,   0,   0,   144, 162, 79,  127, 145, 70,  112, 129, 60,  95,  112, 51,
    79,  96,  41,  64,  79,  30,  47,  61,  15,  23,  40,  0,   0,   0,   0,
    145, 162, 60,  129, 145, 52,  113, 129, 46,  96,  112, 37,  79,  95,  27,
    64,  79,  16,  47,  61,  1,   23,  39,  0,   0,   0,   0,   131, 147, 202,
    117, 133, 181, 105, 119, 162, 91,  103, 142, 77,  87,  122, 62,  71,  102,
    47,  54,  81,  26,  31,  56,  0,   0,   18,  135, 147, 183, 120, 132, 164,
    107, 118, 147, 93,  102, 128, 78,  87,  110, 63,  71,  92,  47,  54,  72,
    26,  31,  48,  0,   0,   10,  138, 147, 166, 123, 131, 149, 108, 118, 133,
    94,  102, 116, 79,  86,  100, 64,  71,  82,  48,  54,  64,  27,  31,  41,
    0,   0,   2,   139, 146, 149, 124, 131, 134, 111, 117, 119, 94,  101, 103,
    79,  86,  88,  64,  70,  72,  48,  53,  55,  27,  31,  33,  0,   0,   0,
    141, 146, 132, 125, 131, 117, 111, 117, 104, 95,  101, 91,  80,  86,  77,
    65,  70,  62,  48,  53,  46,  26,  31,  25,  0,   0,   0,   143, 145, 115,
    126, 130, 101, 112, 116, 90,  96,  100, 78,  80,  85,  65,  65,  70,  52,
    49,  53,  37,  27,  32,  17,  0,   0,   0,   144, 144, 96,  128, 129, 85,
    112, 115, 75,  97,  100, 64,  81,  85,  52,  65,  69,  40,  49,  53,  26,
    26,  31,  5,   0,   0,   0,   146, 144, 76,  129, 129, 67,  114, 115, 58,
    97,  99,  48,  82,  84,  38,  66,  69,  27,  49,  53,  12,  26,  32,  0,
    0,   0,   0,   146, 144, 59,  130, 128, 51,  114, 114, 43,  98,  99,  35,
    82,  84,  25,  66,  69,  13,  49,  53,  0,   26,  32,  0,   0,   0,   0,
    135, 129, 189, 122, 115, 170, 107, 103, 152, 94,  89,  133, 79,  74,  114,
    64,  60,  95,  49,  43,  75,  29,  20,  51,  0,   0,   12,  138, 129, 171,
    124, 115, 153, 110, 103, 138, 95,  89,  120, 81,  74,  103, 66,  60,  86,
    50,  44,  67,  28,  21,  43,  0,   0,   3,   140, 129, 156, 125, 115, 140,
    111, 103, 125, 96,  89,  109, 81,  74,  93,  67,  60,  76,  50,  44,  59,
    29,  22,  36,  0,   0,   0,   142, 128, 140, 127, 115, 125, 112, 102, 112,
    97,  88,  97,  82,  74,  83,  67,  60,  67,  50,  44,  51,  29,  22,  29,
    0,   0,   0,   142, 128, 124, 127, 114, 111, 113, 102, 98,  98,  88,  85,
    82,  74,  71,  66,  60,  58,  50,  44,  42,  29,  22,  21,  0,   0,   0,
    144, 127, 108, 128, 114, 96,  113, 101, 85,  98,  87,  73,  82,  74,  61,
    67,  60,  48,  50,  44,  33,  28,  23,  12,  0,   0,   0,   145, 127, 91,
    129, 114, 81,  115, 101, 71,  98,  87,  60,  82,  73,  48,  67,  59,  37,
    50,  44,  22,  29,  23,  1,   0,   0,   0,   147, 127, 73,  130, 113, 63,
    115, 101, 55,  98,  87,  45,  83,  73,  35,  67,  59,  24,  50,  44,  10,
    28,  24,  0,   0,   0,   0,   147, 127, 58,  131, 113, 49,  115, 100, 42,
    99,  86,  33,  83,  73,  23,  67,  59,  10,  50,  44,  0,   27,  24,  0,
    0,   0,   0,   138, 110, 177, 124, 99,  159, 110, 88,  142, 96,  75,  125,
    82,  62,  107, 66,  48,  89,  51,  33,  70,  30,  8,   46,  0,   0,   5,
    142, 111, 160, 127, 99,  144, 113, 88,  130, 98,  75,  112, 82,  62,  96,
    68,  49,  80,  51,  33,  61,  30,  10,  39,  0,   0,   0,   143, 111, 146,
    128, 99,  131, 114, 88,  118, 98,  75,  101, 83,  62,  86,  68,  49,  71,
    52,  33,  54,  30,  11,  32,  0,   0,   0,   144, 111, 132, 128, 99,  118,
    113, 88,  106, 99,  75,  91,  83,  62,  77,  68,  49,  62,  52,  34,  46,
    30,  12,  25,  0,   0,   0,   144, 111, 117, 129, 98,  104, 114, 87,  92,
    99,  75,  80,  83,  62,  67,  68,  49,  53,  51,  34,  38,  30,  13,  18,
    0,   0,   0,   145, 111, 103, 130, 98,  91,  114, 87,  80,  99,  75,  68,
    83,  63,  57,  68,  50,  45,  51,  34,  30,  30,  14,  8,   0,   0,   0,
    146, 110, 87,  131, 98,  76,  115, 87,  67,  99,  75,  56,  83,  62,  45,
    68,  49,  33,  52,  35,  19,  30,  15,  2,   0,   0,   0,   148, 110, 70,
    131, 98,  60,  116, 86,  52,  99,  74,  43,  84,  62,  33,  69,  49,  21,
    52,  35,  6,   29,  15,  0,   0,   0,   0,   148, 110, 56,  132, 97,  48,
    117, 87,  40,  100, 75,  31,  84,  62,  22,  68,  49,  9,   51,  35,  0,
    28,  15,  0,   0,   0,   0,   142, 91,  166, 126, 80,  148, 113, 71,  132,
    98,  59,  115, 83,  47,  99,  69,  34,  82,  53,  17,  64,  32,  0,   41,
    0,   0,   0,   143, 91,  150, 128, 81,  135, 114, 71,  120, 99,  60,  104,
    85,  48,  89,  69,  35,  73,  53,  19,  56,  32,  0,   34,  0,   0,   0,
    145, 91,  137, 129, 81,  122, 115, 71,  109, 100, 60,  94,  85,  48,  81,
    69,  35,  65,  53,  19,  49,  32,  0,   28,  0,   0,   0,   146, 92,  124,
    130, 81,  110, 115, 71,  98,  100, 60,  84,  85,  49,  71,  69,  36,  57,
    53,  21,  42,  32,  0,   21,  0,   0,   0,   147, 91,  110, 130, 81,  97,
    115, 71,  86,  100, 60,  74,  84,  49,  62,  69,  36,  48,  53,  22,  34,
    32,  0,   13,  0,   0,   0,   147, 92,  97,  130, 81,  85,  116, 72,  76,
    100, 60,  63,  85,  49,  52,  69,  37,  40,  53,  22,  26,  31,  1,   5,
    0,   0,   0,   148, 92,  82,  131, 81,  71,  116, 71,  62,  100, 60,  53,
    84,  49,  42,  69,  37,  30,  52,  23,  16,  31,  2,   0,   0,   0,   0,
    148, 91,  67,  132, 81,  57,  117, 71,  49,  100, 60,  39,  84,  49,  30,
    69,  37,  18,  52,  23,  2,   30,  2,   0,   0,   0,   0,   149, 91,  54,
    132, 81,  46,  118, 71,  39,  101, 60,  29,  85,  49,  19,  69,  37,  6,
    52,  23,  0,   29,  3,   0,   0,   0,   0,   143, 68,  153, 128, 59,  137,
    115, 49,  122, 99,  39,  107, 85,  28,  91,  70,  13,  75,  54,  0,   58,
    32,  0,   36,  0,   0,   0,   146, 68,  140, 131, 59,  125, 116, 51,  111,
    100, 40,  97,  85,  29,  82,  70,  15,  67,  54,  0,   50,  32,  0,   29,
    0,   0,   0,   147, 68,  127, 131, 59,  114, 117, 51,  102, 101, 41,  88,
    86,  30,  74,  70,  17,  60,  54,  0,   44,  32,  0,   23,  0,   0,   0,
    147, 70,  115, 131, 60,  103, 116, 52,  91,  100, 42,  78,  85,  32,  65,
    70,  19,  53,  54,  1,   38,  32,  0,   17,  0,   0,   0,   147, 70,  103,
    131, 61,  91,  117, 53,  81,  101, 43,  69,  86,  32,  57,  70,  20,  44,
    54,  2,   30,  32,  0,   7,   0,   0,   0,   148, 70,  91,  132, 61,  80,
    117, 52,  70,  101, 43,  59,  85,  33,  48,  70,  21,  36,  53,  4,   22,
    32,  0,   3,   0,   0,   0,   148, 70,  78,  132, 62,  68,  117, 53,  58,
    101, 43,  48,  85,  34,  38,  70,  22,  26,  53,  6,   12,  31,  0,   0,
    0,   0,   0,   149, 71,  64,  132, 62,  54,  118, 54,  46,  101, 44,  37,
    85,  34,  27,  69,  23,  15,  53,  7,   1,   30,  0,   0,   0,   0,   0,
    150, 70,  53,  134, 61,  44,  118, 54,  36,  101, 44,  28,  85,  35,  17,
    69,  23,  4,   52,  8,   0,   30,  0,   0,   0,   0,   0,   145, 38,  143,
    130, 29,  128, 117, 18,  114, 101, 3,   98,  87,  0,   84,  72,  0,   69,
    54,  0,   53,  30,  0,   31,  0,   0,   0,   147, 38,  130, 132, 30,  116,
    117, 22,  103, 101, 8,   89,  87,  0,   76,  72,  0,   62,  54,  0,   46,
    30,  0,   24,  0,   0,   0,   148, 40,  119, 132, 31,  105, 117, 23,  94,
    101, 13,  81,  87,  0,   68,  71,  0,   55,  54,  0,   39,  30,  0,   18,
    0,   0,   0,   148, 42,  108, 132, 34,  96,  117, 25,  85,  102, 15,  73,
    86,  2,   60,  71,  0,   47,  54,  0,   33,  30,  0,   11,  0,   0,   0,
    148, 43,  96,  133, 35,  85,  117, 28,  75,  102, 18,  64,  87,  5,   52,
    71,  0,   40,  54,  0,   25,  30,  0,   5,   0,   0,   0,   149, 44,  85,
    132, 36,  75,  118, 29,  66,  101, 20,  55,  86,  8,   44,  70,  0,   32,
    53,  0,   18,  29,  0,   2,   0,   0,   0,   149, 45,  74,  133, 37,  64,
    118, 31,  55,  102, 21,  45,  85,  10,  34,  70,  0,   22,  53,  0,   6,
    28,  0,   0,   0,   0,   0,   150, 46,  61,  133, 39,  52,  118, 31,  44,
    102, 23,  34,  85,  12,  24,  70,  0,   12,  52,  0,   0,   28,  0,   0,
    0,   0,   0,   150, 46,  51,  133, 40,  42,  119, 32,  35,  102, 24,  25,
    85,  13,  14,  70,  0,   1,   52,  0,   0,   27,  0,   0,   0,   0,   0,
    53,  198, 244, 49,  177, 218, 41,  158, 195, 32,  138, 171, 22,  118, 147,
    11,  98,  124, 0,   78,  100, 0,   54,  71,  0,   18,  34,  69,  196, 220,
    64,  175, 196, 54,  157, 176, 45,  137, 154, 32,  117, 133, 19,  98,  111,
    0,   78,  89,  0,   53,  63,  0,   17,  27,  80,  195, 198, 69,  175, 179,
    60,  156, 159, 50,  136, 139, 38,  116, 120, 25,  98,  101, 4,   77,  80,
    0,   53,  55,  0,   17,  21,  84,  193, 177, 75,  173, 159, 64,  155, 142,
    55,  135, 124, 41,  116, 107, 27,  97,  89,  9,   76,  70,  0,   53,  47,
    0,   17,  11,  89,  193, 157, 79,  172, 140, 70,  154, 125, 57,  134, 109,
    44,  115, 92,  32,  96,  76,  13,  76,  59,  0,   52,  39,  0,   16,  4,
    94,  191, 135, 85,  171, 121, 72,  152, 108, 60,  133, 94,  47,  114, 80,
    32,  95,  65,  15,  76,  49,  0,   52,  29,  0,   16,  0,   98,  190, 113,
    87,  170, 100, 76,  152, 89,  62,  132, 77,  49,  113, 65,  35,  95,  52,
    18,  75,  37,  0,   52,  18,  0,   15,  0,   103, 190, 89,  90,  169, 80,
    78,  151, 70,  64,  132, 60,  51,  113, 49,  37,  94,  38,  20,  75,  25,
    0,   52,  5,   0,   15,  0,   106, 189, 69,  93,  169, 61,  80,  151, 53,
    66,  131, 45,  52,  113, 36,  37,  94,  25,  19,  74,  11,  0,   51,  0,
    0,   15,  0,   76,  178, 229, 68,  159, 205, 61,  142, 183, 50,  124, 160,
    40,  106, 138, 28,  88,  116, 12,  69,  93,  0,   45,  66,  0,   5,   29,
    86,  177, 207, 78,  158, 184, 67,  142, 166, 56,  123, 145, 45,  106, 125,
    31,  88,  105, 16,  69,  83,  0,   45,  58,  0,   6,   22,  93,  176, 187,
    81,  158, 168, 71,  141, 150, 61,  123, 131, 47,  105, 113, 35,  87,  94,
    20,  68,  74,  0,   45,  51,  0,   5,   16,  98,  175, 168, 84,  157, 150,
    75,  140, 134, 63,  122, 117, 50,  104, 100, 37,  87,  83,  21,  68,  65,
    0,   45,  42,  0,   4,   7,   100, 174, 149, 89,  155, 132, 76,  139, 117,
    65,  121, 102, 53,  104, 87,  39,  86,  72,  23,  67,  55,  0,   45,  34,
    0,   3,   0,   103, 173, 130, 92,  155, 115, 80,  138, 102, 68,  120, 88,
    53,  103, 75,  40,  86,  61,  24,  67,  45,  0,   45,  25,  0,   3,   0,
    107, 172, 108, 95,  154, 96,  82,  137, 85,  70,  119, 73,  55,  102, 61,
    42,  85,  49,  25,  67,  34,  0,   45,  14,  0,   3,   0,   110, 172, 86,
    97,  153, 76,  85,  137, 67,  70,  119, 57,  56,  102, 46,  42,  84,  35,
    26,  66,  21,  0,   44,  1,   0,   3,   0,   112, 171, 67,  98,  153, 59,
    86,  137, 52,  71,  119, 44,  58,  102, 34,  44,  85,  22,  27,  66,  7,
    0,   44,  0,   0,   3,   0,   90,  160, 215, 81,  144, 193, 70,  129, 173,
    61,  112, 151, 49,  95,  131, 37,  79,  109, 22,  61,  87,  0,   38,  61,
    0,   0,   25,  96,  160, 194, 86,  143, 174, 75,  128, 157, 65,  112, 137,
    53,  95,  117, 40,  78,  98,  25,  60,  78,  0,   38,  53,  0,   0,   17,
    100, 159, 177, 89,  143, 159, 79,  128, 143, 67,  111, 124, 55,  95,  107,
    42,  78,  89,  27,  60,  70,  2,   38,  46,  0,   0,   9,   104, 158, 159,
    92,  142, 143, 81,  127, 127, 69,  110, 110, 56,  94,  94,  43,  78,  78,
    28,  60,  60,  2,   38,  38,  0,   0,   1,   107, 157, 140, 94,  141, 125,
    82,  126, 112, 71,  110, 97,  59,  94,  82,  45,  77,  67,  29,  59,  51,
    4,   37,  30,  0,   0,   0,   110, 156, 122, 97,  140, 109, 85,  125, 97,
    72,  109, 83,  58,  93,  71,  45,  77,  57,  29,  60,  42,  5,   38,  22,
    0,   0,   0,   111, 156, 103, 99,  139, 91,  87,  125, 81,  73,  108, 69,
    60,  92,  58,  46,  77,  45,  30,  59,  31,  5,   38,  12,  0,   0,   0,
    115, 156, 82,  101, 140, 73,  88,  124, 63,  74,  108, 53,  60,  92,  44,
    46,  76,  32,  31,  59,  18,  6,   37,  0,   0,   0,   0,   116, 155, 65,
    102, 139, 58,  89,  124, 49,  75,  108, 41,  61,  92,  32,  48,  76,  21,
    31,  59,  6,   5,   37,  0,   0,   0,   0,   100, 141, 201, 88,  127, 181,
    79,  114, 162, 69,  99,  142, 57,  83,  122, 44,  68,  102, 30,  51,  81,
    7,   28,  56,  0,   0,   19,  105, 141, 182, 94,  127, 163, 83,  114, 146,
    71,  98,  128, 59,  83,  110, 46,  68,  91,  31,  51,  72,  10,  28,  48,
    0,   0,   11,  108, 141, 166, 96,  127, 149, 85,  113, 133, 73,  98,  116,
    60,  83,  99,  46,  68,  82,  32,  51,  64,  11,  29,  41,  0,   0,   2,
    111, 141, 149, 98,  126, 134, 88,  112, 119, 74,  97,  103, 61,  83,  88,
    48,  67,  72,  33,  51,  56,  11,  29,  34,  0,   0,   0,   112, 140, 132,
    100, 125, 118, 89,  112, 105, 75,  97,  91,  62,  82,  77,  49,  68,  62,
    33,  51,  47,  12,  29,  26,  0,   0,   0,   115, 140, 116, 102, 125, 103,
    90,  111, 91,  76,  96,  78,  62,  82,  65,  49,  67,  52,  34,  51,  38,
    13,  29,  18,  0,   0,   0,   117, 139, 97,  103, 124, 87,  91,  111, 77,
    78,  96,  65,  63,  81,  54,  49,  67,  41,  34,  51,  27,  12,  29,  7,
    0,   0,   0,   119, 138, 78,  105, 124, 69,  92,  110, 60,  78,  95,  50,
    65,  81,  40,  50,  67,  29,  34,  51,  15,  13,  30,  0,   0,   0,   0,
    120, 138, 64,  106, 124, 54,  93,  110, 47,  78,  95,  38,  65,  81,  29,
    50,  66,  17,  34,  50,  2,   13,  29,  0,   0,   0,   0,   107, 124, 189,
    96,  111, 169, 85,  99,  152, 73,  85,  132, 61,  71,  114, 48,  57,  95,
    34,  41,  75,  14,  18,  51,  0,   0,   13,  111, 124, 171, 100, 111, 153,
    88,  99,  137, 75,  85,  120, 63,  72,  103, 50,  58,  85,  36,  41,  66,
    15,  19,  43,  0,   0,   4,   113, 124, 156, 101, 111, 139, 90,  99,  125,
    77,  85,  109, 64,  71,  93,  51,  57,  77,  36,  42,  59,  17,  20,  37,
    0,   0,   0,   115, 124, 140, 103, 111, 125, 90,  99,  112, 78,  85,  97,
    64,  71,  82,  52,  57,  67,  36,  42,  50,  16,  20,  30,  0,   0,   0,
    117, 123, 125, 104, 110, 111, 92,  98,  99,  79,  85,  86,  65,  71,  72,
    51,  58,  59,  37,  42,  43,  17,  21,  22,  0,   0,   0,   118, 123, 110,
    105, 110, 97,  93,  98,  86,  78,  84,  74,  66,  71,  62,  52,  57,  49,
    37,  42,  34,  17,  22,  14,  0,   0,   0,   120, 123, 93,  106, 109, 82,
    94,  97,  72,  80,  84,  61,  66,  71,  50,  52,  57,  38,  37,  42,  24,
    17,  22,  2,   0,   0,   0,   121, 122, 75,  108, 109, 66,  95,  97,  58,
    80,  84,  48,  66,  71,  37,  52,  57,  26,  37,  42,  12,  16,  22,  0,
    0,   0,   0,   122, 123, 62,  108, 109, 52,  95,  97,  45,  81,  84,  36,
    67,  70,  26,  52,  57,  14,  37,  42,  0,   15,  22,  0,   0,   0,   0,
    113, 107, 177, 102, 96,  159, 89,  85,  141, 78,  72,  124, 65,  60,  107,
    52,  46,  89,  37,  30,  70,  18,  5,   46,  0,   0,   6,   116, 107, 160,
    104, 96,  144, 92,  85,  129, 80,  72,  112, 67,  60,  96,  53,  47,  80,
    38,  31,  62,  19,  7,   39,  0,   0,   0,   118, 107, 147, 105, 96,  131,
    93,  85,  118, 80,  72,  101, 67,  60,  87,  54,  47,  71,  39,  31,  54,
    19,  8,   32,  0,   0,   0,   119, 107, 132, 106, 96,  118, 94,  85,  106,
    81,  73,  91,  67,  60,  77,  54,  47,  63,  39,  32,  47,  20,  9,   25,
    0,   0,   0,   119, 107, 118, 106, 95,  105, 94,  85,  93,  81,  72,  80,
    68,  60,  68,  54,  47,  54,  39,  32,  39,  20,  11,  18,  0,   0,   0,
    121, 107, 104, 107, 96,  92,  95,  84,  80,  81,  72,  69,  68,  61,  58,
    54,  48,  46,  39,  33,  31,  20,  12,  9,   0,   0,   0,   123, 107, 88,
    108, 95,  77,  96,  84,  68,  82,  72,  57,  68,  60,  46,  54,  47,  35,
    39,  33,  20,  19,  13,  2,   0,   0,   0,   123, 106, 72,  110, 95,  63,
    96,  84,  54,  82,  72,  45,  69,  60,  35,  55,  48,  23,  39,  33,  9,
    18,  14,  0,   0,   0,   0,   125, 106, 60,  110, 94,  50,  98,  84,  42,
    83,  72,  34,  69,  60,  25,  55,  48,  12,  39,  33,  0,   17,  13,  0,
    0,   0,   0,   118, 89,  165, 105, 79,  148, 93,  69,  132, 81,  57,  115,
    68,  45,  99,  55,  32,  82,  41,  15,  64,  21,  0,   41,  0,   0,   0,
    120, 89,  150, 107, 79,  135, 96,  69,  121, 82,  58,  105, 70,  46,  89,
    56,  34,  73,  41,  17,  56,  21,  0,   34,  0,   0,   0,   121, 89,  137,
    108, 79,  123, 96,  69,  109, 82,  58,  95,  70,  47,  81,  56,  34,  66,
    41,  18,  49,  21,  0,   28,  0,   0,   0,   122, 90,  124, 109, 79,  110,
    96,  69,  99,  83,  58,  85,  70,  47,  72,  56,  35,  58,  41,  19,  42,
    21,  0,   22,  0,   0,   0,   123, 90,  111, 110, 79,  98,  97,  69,  87,
    83,  59,  75,  70,  47,  63,  56,  35,  50,  41,  20,  35,  21,  0,   14,
    0,   0,   0,   123, 90,  98,  110, 79,  87,  97,  70,  76,  84,  58,  64,
    70,  48,  53,  56,  36,  41,  40,  21,  26,  21,  0,   5,   0,   0,   0,
    125, 89,  84,  111, 79,  73,  97,  69,  64,  84,  59,  54,  70,  48,  43,
    56,  36,  31,  40,  22,  17,  20,  1,   1,   0,   0,   0,   125, 89,  69,
    112, 79,  60,  98,  70,  51,  84,  59,  42,  70,  48,  32,  56,  36,  20,
    41,  22,  5,   19,  2,   0,   0,   0,   0,   126, 89,  57,  112, 79,  49,
    99,  70,  41,  84,  59,  32,  70,  48,  22,  56,  36,  10,  40,  22,  0,
    18,  2,   0,   0,   0,   0,   121, 67,  154, 108, 58,  138, 97,  50,  124,
    84,  39,  107, 71,  28,  92,  58,  12,  76,  43,  0,   59,  20,  0,   37,
    0,   0,   0,   124, 68,  140, 111, 59,  126, 98,  50,  112, 84,  40,  98,
    71,  29,  83,  58,  15,  67,  42,  0,   51,  20,  0,   30,  0,   0,   0,
    124, 68,  129, 111, 59,  114, 99,  51,  102, 86,  41,  88,  71,  30,  75,
    58,  17,  60,  42,  0,   45,  20,  0,   24,  0,   0,   0,   125, 70,  116,
    111, 60,  103, 99,  51,  92,  85,  41,  79,  71,  31,  66,  58,  19,  53,
    42,  3,   38,  20,  0,   17,  0,   0,   0,   125, 70,  104, 111, 61,  93,
    99,  52,  81,  85,  43,  69,  72,  32,  58,  58,  20,  45,  42,  4,   31,
    20,  0,   8,   0,   0,   0,   126, 70,  92,  111, 61,  81,  99,  52,  71,
    85,  42,  60,  71,  33,  49,  57,  21,  37,  42,  6,   23,  20,  0,   3,
    0,   0,   0,   126, 70,  79,  112, 61,  70,  99,  53,  60,  85,  43,  50,
    71,  33,  39,  57,  22,  28,  41,  7,   13,  19,  0,   0,   0,   0,   0,
    127, 71,  66,  113, 62,  56,  100, 53,  48,  86,  44,  39,  71,  34,  29,
    57,  23,  18,  41,  8,   2,   18,  0,   0,   0,   0,   0,   128, 70,  55,
    114, 62,  46,  100, 54,  39,  86,  44,  30,  71,  34,  20,  57,  23,  7,
    41,  9,   0,   18,  0,   0,   0,   0,   0,   124, 41,  145, 111, 32,  128,
    99,  23,  114, 86,  10,  100, 73,  0,   85,  60,  0,   71,  43,  0,   54,
    17,  0,   32,  0,   0,   0,   126, 42,  131, 113, 33,  117, 100, 25,  104,
    86,  14,  90,  73,  0,   77,  60,  0,   63,  44,  0,   47,  18,  0,   25,
    0,   0,   0,   127, 43,  120, 113, 34,  106, 101, 26,  95,  86,  17,  82,
    73,  2,   69,  59,  0,   56,  43,  0,   41,  18,  0,   19,  0,   0,   0,
    127, 45,  109, 113, 37,  97,  101, 28,  85,  86,  19,  74,  73,  5,   61,
    59,  0,   48,  43,  0,   34,  19,  0,   11,  0,   0,   0,   127, 46,  98,
    114, 38,  86,  100, 30,  76,  87,  21,  65,  73,  9,   54,  59,  0,   41,
    43,  0,   26,  18,  0,   5,   0,   0,   0,   127, 47,  87,  113, 39,  76,
    101, 31,  67,  86,  22,  56,  72,  11,  45,  59,  0,   33,  43,  0,   19,
    18,  0,   2,   0,   0,   0,   128, 48,  75,  114, 39,  65,  101, 33,  56,
    86,  23,  46,  72,  12,  36,  58,  0,   24,  42,  0,   9,   17,  0,   0,
    0,   0,   0,   129, 48,  63,  114, 41,  54,  102, 33,  46,  87,  24,  36,
    72,  14,  26,  58,  1,   14,  42,  0,   2,   16,  0,   0,   0,   0,   0,
    128, 48,  53,  114, 41,  44,  102, 34,  37,  87,  25,  27,  72,  15,  17,
    58,  1,   3,   41,  0,   0,   15,  0,   0,   0,   0,   0,   0,   189, 242,
    0,   169, 217, 0,   151, 194, 0,   132, 170, 0,   113, 147, 0,   94,  123,
    0,   74,  99,  0,   51,  71,  0,   15,  34,  1,   187, 219, 1,   167, 195,
    0,   150, 175, 0,   131, 153, 0,   113, 132, 0,   94,  111, 0,   74,  89,
    0,   50,  63,  0,   13,  28,  1,   186, 198, 1,   167, 178, 0,   149, 158,
    0,   130, 139, 0,   111, 119, 0,   93,  100, 0,   74,  80,  0,   50,  55,
    0,   13,  22,  1,   185, 176, 1,   165, 159, 1,   148, 142, 0,   129, 123,
    0,   111, 106, 0,   93,  89,  0,   73,  70,  0,   50,  47,  0,   13,  13,
    1,   184, 157, 1,   164, 141, 1,   147, 125, 0,   128, 110, 0,   110, 93,
    0,   92,  77,  0,   73,  60,  0,   50,  39,  0,   12,  5,   25,  182, 137,
    25,  163, 122, 17,  146, 109, 0,   128, 96,  0,   110, 81,  0,   92,  66,
    0,   73,  51,  0,   50,  30,  0,   10,  0,   42,  181, 114, 35,  163, 102,
    30,  145, 91,  14,  127, 80,  0,   109, 67,  0,   91,  53,  0,   72,  39,
    0,   50,  19,  0,   10,  0,   52,  181, 92,  43,  162, 83,  32,  145, 73,
    19,  126, 63,  0,   108, 52,  0,   90,  40,  0,   72,  27,  0,   50,  7,
    0,   10,  0,   57,  181, 74,  48,  162, 66,  37,  144, 57,  24,  126, 49,
    7,   108, 40,  0,   90,  29,  0,   72,  15,  0,   49,  0,   0,   10,  0,
    1,   170, 227, 1,   152, 203, 0,   136, 182, 0,   119, 159, 0,   101, 137,
    0,   84,  115, 0,   65,  92,  0,   43,  66,  0,   1,   29,  1,   169, 206,
    1,   151, 184, 1,   136, 165, 0,   118, 144, 0,   102, 125, 0,   84,  105,
    0,   65,  83,  0,   43,  58,  0,   0,   22,  29,  168, 186, 21,  151, 167,
    14,  135, 150, 4,   118, 131, 0,   101, 112, 0,   83,  94,  0,   65,  75,
    0,   43,  51,  0,   0,   16,  41,  167, 167, 33,  150, 150, 31,  134, 134,
    19,  117, 117, 4,   100, 100, 0,   83,  83,  0,   65,  65,  0,   42,  43,
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    0,   0,   0,   0,   98,  93,  0,   87,  81,  0,   77,  72,  0,   66,  61,
    0,   54,  49,  0,   42,  37,  0,   28,  24,  0,   6,   4,   0,   0,   0,
    0,   98,  77,  0,   87,  68,  0,   77,  59,  0,   65,  49,  0,   54,  39,
    0,   42,  27,  0,   29,  14,  0,   6,   0,   0,   0,   0,   1,   98,  65,
    7,   87,  56,  0,   77,  49,  0,   66,  41,  0,   54,  30,  0,   42,  19,
    0,   29,  3,   0,   6,   0,   0,   0,   0,   0,   84,  166, 0,   74,  149,
    0,   64,  134, 0,   53,  117, 0,   41,  100, 0,   28,  83,  0,   11,  64,
    0,   0,   42,  0,   0,   3,   0,   84,  151, 0,   74,  135, 0,   64,  121,
    0,   53,  105, 0,   42,  90,  0,   30,  75,  0,   14,  58,  0,   0,   36,
    0,   0,   0,   0,   84,  138, 0,   74,  124, 1,   64,  110, 0,   54,  95,
    0,   43,  81,  0,   30,  67,  0,   15,  51,  0,   1,   29,  0,   0,   0,
    14,  84,  126, 12,  74,  112, 2,   65,  99,  0,   54,  85,  0,   44,  73,
    0,   31,  59,  0,   16,  44,  0,   1,   23,  0,   0,   0,   16,  84,  113,
    13,  74,  100, 6,   65,  89,  0,   54,  77,  0,   44,  65,  0,   31,  51,
    0,   17,  36,  0,   1,   16,  0,   0,   0,   24,  84,  100, 18,  74,  88,
    13,  65,  78,  2,   55,  68,  0,   44,  55,  0,   32,  43,  0,   18,  28,
    0,   1,   6,   0,   0,   0,   26,  84,  87,  24,  74,  76,  17,  65,  67,
    7,   54,  57,  0,   44,  46,  0,   32,  35,  0,   19,  21,  0,   2,   3,
    0,   0,   0,   30,  84,  74,  28,  74,  64,  20,  65,  55,  12,  55,  46,
    0,   44,  35,  0,   32,  24,  0,   18,  9,   0,   1,   0,   0,   0,   0,
    32,  84,  63,  28,  74,  54,  21,  65,  47,  13,  54,  38,  0,   44,  28,
    0,   32,  16,  0,   18,  1,   0,   1,   0,   0,   0,   0,   30,  67,  155,
    20,  58,  139, 20,  49,  126, 12,  39,  110, 0,   27,  94,  0,   13,  77,
    0,   0,   60,  0,   0,   37,  0,   0,   0,   35,  67,  142, 30,  58,  126,
    23,  50,  114, 16,  40,  99,  7,   29,  85,  0,   15,  69,  0,   0,   52,
    0,   0,   30,  0,   0,   0,   35,  68,  131, 30,  59,  116, 27,  50,  104,
    18,  40,  90,  9,   29,  76,  0,   17,  62,  0,   2,   46,  0,   0,   24,
    0,   0,   0,   37,  69,  119, 33,  59,  106, 27,  51,  94,  21,  41,  80,
    9,   30,  67,  0,   18,  54,  0,   3,   39,  0,   0,   18,  0,   0,   0,
    40,  69,  107, 36,  59,  94,  28,  51,  84,  18,  41,  72,  10,  31,  60,
    0,   19,  47,  0,   4,   32,  0,   0,   10,  0,   0,   0,   42,  69,  95,
    36,  59,  84,  29,  51,  74,  19,  41,  63,  10,  31,  52,  0,   20,  39,
    0,   4,   25,  0,   0,   4,   0,   0,   0,   43,  69,  83,  38,  60,  73,
    32,  51,  62,  23,  42,  53,  11,  31,  42,  0,   20,  31,  0,   5,   17,
    0,   0,   1,   0,   0,   0,   45,  69,  70,  39,  60,  60,  33,  51,  52,
    24,  42,  43,  13,  32,  33,  0,   21,  21,  0,   5,   6,   0,   0,   0,
    0,   0,   0,   47,  69,  59,  41,  60,  51,  34,  51,  43,  24,  42,  35,
    12,  33,  26,  1,   22,  14,  0,   5,   1,   0,   0,   0,   0,   0,   0,
    46,  48,  146, 42,  40,  131, 36,  32,  118, 27,  22,  103, 17,  6,   88,
    5,   0,   73,  0,   0,   55,  0,   0,   33,  0,   0,   0,   48,  48,  133,
    44,  40,  119, 37,  32,  107, 28,  22,  93,  20,  8,   79,  7,   0,   65,
    0,   0,   49,  0,   0,   27,  0,   0,   0,   48,  50,  123, 44,  41,  109,
    37,  33,  97,  30,  23,  83,  21,  11,  71,  8,   0,   58,  0,   0,   42,
    0,   0,   21,  0,   0,   0,   49,  51,  111, 45,  42,  99,  38,  34,  87,
    29,  25,  75,  20,  13,  63,  8,   0,   51,  0,   0,   36,  0,   0,   14,
    0,   0,   0,   52,  52,  100, 44,  43,  89,  38,  35,  79,  29,  26,  68,
    19,  15,  56,  10,  1,   43,  0,   0,   28,  0,   0,   6,   0,   0,   0,
    52,  52,  90,  47,  44,  79,  39,  36,  70,  30,  27,  59,  20,  16,  47,
    9,   2,   36,  0,   0,   22,  0,   0,   2,   0,   0,   0,   52,  53,  78,
    46,  44,  68,  39,  37,  60,  32,  27,  49,  22,  17,  39,  10,  3,   28,
    0,   0,   12,  0,   0,   0,   0,   0,   0,   53,  53,  66,  47,  44,  57,
    40,  36,  48,  32,  27,  39,  22,  18,  30,  9,   4,   18,  0,   0,   3,
    0,   0,   0,   0,   0,   0,   54,  53,  57,  48,  45,  49,  41,  37,  41,
    33,  28,  32,  22,  19,  23,  11,  6,   10,  1,   0,   0,   0,   0,   0,
    0,   0,   0,
};

void AdobeCMYK_to_sRGB1(uint8_t c,
                        uint8_t m,
                        uint8_t y,
                        uint8_t k,
                        uint8_t& R,
                        uint8_t& G,
                        uint8_t& B) {
  int fix_c = c << 8;
  int fix_m = m << 8;
  int fix_y = y << 8;
  int fix_k = k << 8;
  int c_index = (fix_c + 4096) >> 13;
  int m_index = (fix_m + 4096) >> 13;
  int y_index = (fix_y + 4096) >> 13;
  int k_index = (fix_k + 4096) >> 13;
  int pos = (c_index * 9 * 9 * 9 + m_index * 9 * 9 + y_index * 9 + k_index) * 3;
  int fix_r = g_CMYKSamples[pos] << 8;
  int fix_g = g_CMYKSamples[pos + 1] << 8;
  int fix_b = g_CMYKSamples[pos + 2] << 8;
  int c1_index = fix_c >> 13;
  if (c1_index == c_index) {
    c1_index = c1_index == 8 ? c1_index - 1 : c1_index + 1;
  }
  int m1_index = fix_m >> 13;
  if (m1_index == m_index) {
    m1_index = m1_index == 8 ? m1_index - 1 : m1_index + 1;
  }
  int y1_index = fix_y >> 13;
  if (y1_index == y_index) {
    y1_index = y1_index == 8 ? y1_index - 1 : y1_index + 1;
  }
  int k1_index = fix_k >> 13;
  if (k1_index == k_index) {
    k1_index = k1_index == 8 ? k1_index - 1 : k1_index + 1;
  }
  int c1_pos = pos + (c1_index - c_index) * 9 * 9 * 9 * 3;
  int m1_pos = pos + (m1_index - m_index) * 9 * 9 * 3;
  int y1_pos = pos + (y1_index - y_index) * 9 * 3;
  int k1_pos = pos + (k1_index - k_index) * 3;
  int c_r_delta = g_CMYKSamples[pos] - g_CMYKSamples[c1_pos];
  int c_g_delta = g_CMYKSamples[pos + 1] - g_CMYKSamples[c1_pos + 1];
  int c_b_delta = g_CMYKSamples[pos + 2] - g_CMYKSamples[c1_pos + 2];
  int m_r_delta = g_CMYKSamples[pos] - g_CMYKSamples[m1_pos];
  int m_g_delta = g_CMYKSamples[pos + 1] - g_CMYKSamples[m1_pos + 1];
  int m_b_delta = g_CMYKSamples[pos + 2] - g_CMYKSamples[m1_pos + 2];
  int y_r_delta = g_CMYKSamples[pos] - g_CMYKSamples[y1_pos];
  int y_g_delta = g_CMYKSamples[pos + 1] - g_CMYKSamples[y1_pos + 1];
  int y_b_delta = g_CMYKSamples[pos + 2] - g_CMYKSamples[y1_pos + 2];
  int k_r_delta = g_CMYKSamples[pos] - g_CMYKSamples[k1_pos];
  int k_g_delta = g_CMYKSamples[pos + 1] - g_CMYKSamples[k1_pos + 1];
  int k_b_delta = g_CMYKSamples[pos + 2] - g_CMYKSamples[k1_pos + 2];
  int c_rate = (fix_c - (c_index << 13)) * (c_index - c1_index);
  fix_r += c_r_delta * c_rate / 32;
  fix_g += c_g_delta * c_rate / 32;
  fix_b += c_b_delta * c_rate / 32;
  int m_rate = (fix_m - (m_index << 13)) * (m_index - m1_index);
  fix_r += m_r_delta * m_rate / 32;
  fix_g += m_g_delta * m_rate / 32;
  fix_b += m_b_delta * m_rate / 32;
  int y_rate = (fix_y - (y_index << 13)) * (y_index - y1_index);
  fix_r += y_r_delta * y_rate / 32;
  fix_g += y_g_delta * y_rate / 32;
  fix_b += y_b_delta * y_rate / 32;
  int k_rate = (fix_k - (k_index << 13)) * (k_index - k1_index);
  fix_r += k_r_delta * k_rate / 32;
  fix_g += k_g_delta * k_rate / 32;
  fix_b += k_b_delta * k_rate / 32;
  if (fix_r < 0) {
    fix_r = 0;
  }
  if (fix_g < 0) {
    fix_g = 0;
  }
  if (fix_b < 0) {
    fix_b = 0;
  }
  R = fix_r >> 8;
  G = fix_g >> 8;
  B = fix_b >> 8;
}
void AdobeCMYK_to_sRGB(float c,
                       float m,
                       float y,
                       float k,
                       float& R,
                       float& G,
                       float& B) {
  // Convert to uint8_t with round-to-nearest. Avoid using FXSYS_round because
  // it is incredibly expensive with VC++ (tested on VC++ 2015) because round()
  // is very expensive.
  // The 'magic' value of 0.49999997f, the float that precedes 0.5f, was chosen
  // because it gives identical results to FXSYS_round(). Using the constant
  // 0.5f gives different results (1 instead of 0) for one value, 0.0019607842.
  // That value is close to the cusp but zero is the correct answer, and
  // getting the same answer as before is desirable.
  // All floats from 0.0 to 1.0 were tested and now give the same results.
  const float rounding_offset = 0.49999997f;
  uint8_t c1 = int(c * 255.f + rounding_offset);
  uint8_t m1 = int(m * 255.f + rounding_offset);
  uint8_t y1 = int(y * 255.f + rounding_offset);
  uint8_t k1 = int(k * 255.f + rounding_offset);

  ASSERT(c1 == FXSYS_round(c * 255));
  ASSERT(m1 == FXSYS_round(m * 255));
  ASSERT(y1 == FXSYS_round(y * 255));
  ASSERT(k1 == FXSYS_round(k * 255));

  uint8_t r, g, b;
  AdobeCMYK_to_sRGB1(c1, m1, y1, k1, r, g, b);
  // Multiply by a constant rather than dividing because division is much
  // more expensive.
  R = r * (1.0f / 255);
  G = g * (1.0f / 255);
  B = b * (1.0f / 255);
}