bitmap_image.hpp

/*
***************************************************************************
*                                                                         *
*                         Platform Independent                            *
*                   Bitmap Image Reader Writer Library                    *
*                                                                         *
* Author: Arash Partow - 2002                                             *
* URL: http://partow.net/programming/bitmap/index.html                    *
*                                                                         *
* Note: This library only supports 24-bits per pixel bitmap format files. *
*                                                                         *
* Copyright notice:                                                       *
* Free use of the Platform Independent Bitmap Image Reader Writer Library *
* is permitted under the guidelines and in accordance with the most       *
* current version of the Common Public License.                           *
* http://www.opensource.org/licenses/cpl1.0.php                           *
*                                                                         *
***************************************************************************
*/


#ifndef INCLUDE_BITMAP_IMAGE_HPP
#define INCLUDE_BITMAP_IMAGE_HPP

#include <algorithm>
#include <cmath>
#include <cstdlib>
#include <cstring>
#include <fstream>
#include <iostream>
#include <iterator>
#include <limits>
#include <string>
#include <vector>


class bitmap_image
{
public:

   enum channel_mode {
                        rgb_mode = 0,
                        bgr_mode = 1
                     };

   enum color_plane {
                       blue_plane  = 0,
                       green_plane = 1,
                       red_plane   = 2
                    };

   bitmap_image()
   : file_name_(""),
     width_ (0),
     height_(0),
     row_increment_(0),
     bytes_per_pixel_(3),
     channel_mode_(bgr_mode)
   {}

   bitmap_image(const std::string& filename)
   : file_name_(filename),
     width_ (0),
     height_(0),
     row_increment_(0),
     bytes_per_pixel_(0),
     channel_mode_(bgr_mode)
   {
      load_bitmap();
   }

   bitmap_image(const unsigned int width, const unsigned int height)
   : file_name_(""),
     width_(width),
     height_(height),
     row_increment_(0),
     bytes_per_pixel_(3),
     channel_mode_(bgr_mode)
   {
      create_bitmap();
   }

   bitmap_image(const bitmap_image& image)
   : file_name_(image.file_name_),
     width_(image.width_),
     height_(image.height_),
     row_increment_(0),
     bytes_per_pixel_(3),
     channel_mode_(bgr_mode)
   {
      create_bitmap();
      data_ = image.data_;
   }

   bitmap_image& operator=(const bitmap_image& image)
   {
      if (this != &image)
      {
         file_name_       = image.file_name_;
         bytes_per_pixel_ = image.bytes_per_pixel_;
         width_           = image.width_;
         height_          = image.height_;
         row_increment_   = 0;
         channel_mode_    = image.channel_mode_;
         create_bitmap();
         data_ = image.data_;
      }

      return *this;
   }

   inline bool operator!()
   {
      return (data_.size()   == 0) ||
             (width_         == 0) ||
             (height_        == 0) ||
             (row_increment_ == 0);
   }

   inline void clear(const unsigned char v = 0x00)
   {
      std::fill(data_.begin(),data_.end(),v);
   }

   inline unsigned char red_channel(const unsigned int x, const unsigned int y) const
   {
      return data_[(y * row_increment_) + (x * bytes_per_pixel_ + 2)];
   }

   inline unsigned char green_channel(const unsigned int x, const unsigned int y) const
   {
      return data_[(y * row_increment_) + (x * bytes_per_pixel_ + 1)];
   }

   inline unsigned char blue_channel (const unsigned int x, const unsigned int y) const
   {
      return data_[(y * row_increment_) + (x * bytes_per_pixel_ + 0)];
   }

   inline void red_channel(const unsigned int x, const unsigned int y, const unsigned char value)
   {
      data_[(y * row_increment_) + (x * bytes_per_pixel_ + 2)] = value;
   }

   inline void green_channel(const unsigned int x, const unsigned int y, const unsigned char value)
   {
      data_[(y * row_increment_) + (x * bytes_per_pixel_ + 1)] = value;
   }

   inline void blue_channel (const unsigned int x, const unsigned int y, const unsigned char value)
   {
      data_[(y * row_increment_) + (x * bytes_per_pixel_ + 0)] = value;
   }

   inline unsigned char* row(unsigned int row_index) const
   {
      return const_cast<unsigned char*>(&data_[(row_index * row_increment_)]);
   }

   inline void get_pixel(const unsigned int x, const unsigned int y,
                         unsigned char& red,
                         unsigned char& green,
                         unsigned char& blue)
   {
      const unsigned int y_offset = y * row_increment_;
      const unsigned int x_offset = x * bytes_per_pixel_;

      blue  = data_[y_offset + x_offset + 0];
      green = data_[y_offset + x_offset + 1];
      red   = data_[y_offset + x_offset + 2];
   }

   template <typename RGB>
   inline void get_pixel(const unsigned int x, const unsigned int y,
                         RGB& colour)
   {
      get_pixel(x, y, colour.red, colour.green, colour.blue);
   }

   inline void set_pixel(const unsigned int x, const unsigned int y,
                         const unsigned char red,
                         const unsigned char green,
                         const unsigned char blue)
   {
      const unsigned int y_offset = y * row_increment_;
      const unsigned int x_offset = x * bytes_per_pixel_;

      data_[y_offset + x_offset + 0] = blue;
      data_[y_offset + x_offset + 1] = green;
      data_[y_offset + x_offset + 2] = red;
   }

   template <typename RGB>
   inline void set_pixel(const unsigned int x, const unsigned int y, const RGB& colour)
   {
      set_pixel(x, y, colour.red, colour.green, colour.blue);
   }

   inline bool copy_from(const bitmap_image& image)
   {
      if (
           (image.height_ != height_) ||
           (image.width_  != width_ )
         )
      {
         return false;
      }

      data_ = image.data_;

      return true;
   }

   inline bool copy_from(const bitmap_image& source_image,
                         const unsigned int& x_offset,
                         const unsigned int& y_offset)
   {
      if ((x_offset + source_image.width_ ) > width_ ) { return false; }
      if ((y_offset + source_image.height_) > height_) { return false; }

      for (unsigned int y = 0; y < source_image.height_; ++y)
      {
         unsigned char* itr1           = row(y + y_offset) + x_offset * bytes_per_pixel_;
         const unsigned char* itr2     = source_image.row(y);
         const unsigned char* itr2_end = itr2 + source_image.width_ * bytes_per_pixel_;

         std::copy(itr2,itr2_end,itr1);
      }

      return true;
   }

   inline bool region(const unsigned int& x,
                      const unsigned int& y,
                      const unsigned int& width,
                      const unsigned int& height,
                      bitmap_image& dest_image)
   {
      if ((x + width ) > width_ ) { return false; }
      if ((y + height) > height_) { return false; }

      if (
           (dest_image.width_  < width_ ) ||
           (dest_image.height_ < height_)
         )
      {
         dest_image.setwidth_height(width,height);
      }

      for (unsigned int r = 0; r < height; ++r)
      {
         unsigned char* itr1     = row(r + y) + x * bytes_per_pixel_;
         unsigned char* itr1_end = itr1 + (width * bytes_per_pixel_);
         unsigned char* itr2     = dest_image.row(r);
         std::copy(itr1,itr1_end,itr2);
      }

      return true;
   }

   inline bool roi_from_center(const unsigned int& cx,
                               const unsigned int& cy,
                               const unsigned int& width,
                               const unsigned int& height,
                               bitmap_image& dest_image)
   {
      return region(cx - (width / 2), cy - (height / 2),
                    width, height,
                    dest_image);
   }

   inline bool set_region(const unsigned int& x,
                          const unsigned int& y,
                          const unsigned int& width,
                          const unsigned int& height,
                          const unsigned char& value)
   {
      if ((x + width ) > width_ ) { return false; }
      if ((y + height) > height_) { return false; }

      for (unsigned int r = 0; r < height; ++r)
      {
         unsigned char* itr     = row(r + y) + x * bytes_per_pixel_;
         unsigned char* itr_end = itr + (width * bytes_per_pixel_);
         std::fill(itr,itr_end,value);
      }

      return true;
   }

   inline bool set_region(const unsigned int& x,
                          const unsigned int& y,
                          const unsigned int& width,
                          const unsigned int& height,
                          const color_plane color,
                          const unsigned char& value)
   {
      if ((x + width ) > width_ ) { return false; }
      if ((y + height) > height_) { return false; }

      const unsigned int color_plane_offset = offset(color);

      for (unsigned int r = 0; r < height; ++r)
      {
         unsigned char* itr     = row(r + y) + x * bytes_per_pixel_ + color_plane_offset;
         unsigned char* itr_end = itr + (width * bytes_per_pixel_);

         while (itr != itr_end)
         {
            *itr  = value;
             itr += bytes_per_pixel_;
         }
      }

      return true;
   }

   inline bool set_region(const unsigned int& x,
                          const unsigned int& y,
                          const unsigned int& width,
                          const unsigned int& height,
                          const unsigned char& red,
                          const unsigned char& green,
                          const unsigned char& blue)
   {
      if ((x + width ) > width_ ) { return false; }
      if ((y + height) > height_) { return false; }

      for (unsigned int r = 0; r < height; ++r)
      {
         unsigned char* itr     = row(r + y) + x * bytes_per_pixel_;
         unsigned char* itr_end = itr + (width * bytes_per_pixel_);

         while (itr != itr_end)
         {
            *(itr++) = blue;
            *(itr++) = green;
            *(itr++) = red;
         }
      }

      return true;
   }

   void reflective_image(bitmap_image& image, const bool include_diagnols = false)
   {
      image.setwidth_height(3 * width_, 3 * height_,true);

      image.copy_from(*this, width_, height_);

      vertical_flip();

      image.copy_from(*this, width_, 0);
      image.copy_from(*this, width_, 2 * height_);

      vertical_flip();
      horizontal_flip();

      image.copy_from(*this, 0, height_);
      image.copy_from(*this, 2 * width_, height_);

      horizontal_flip();

      if (include_diagnols)
      {
         bitmap_image tile = *this;

         tile.vertical_flip();
         tile.horizontal_flip();

         image.copy_from(tile, 0 , 0);
         image.copy_from(tile, 2 * width_, 0);
         image.copy_from(tile, 2 * width_, 2 * height_);
         image.copy_from(tile, 0, 2 * height_);
      }
   }

   inline unsigned int width() const
   {
      return width_;
   }

   inline unsigned int height() const
   {
      return height_;
   }

   inline unsigned int bytes_per_pixel() const
   {
      return bytes_per_pixel_;
   }

   inline unsigned int pixel_count() const
   {
      return width_ *  height_;
   }

   inline void setwidth_height(const unsigned int width,
                               const unsigned int height,
                               const bool clear = false)
   {
      data_.clear();
      width_  = width;
      height_ = height;

      create_bitmap();

      if (clear)
      {
         std::fill(data_.begin(),data_.end(),0x00);
      }
   }

   void save_image(const std::string& file_name) const
   {
      std::ofstream stream(file_name.c_str(),std::ios::binary);

      if (!stream)
      {
         std::cerr << "bitmap_image::save_image(): Error - Could not open file "  << file_name << " for writing!" << std::endl;
         return;
      }

      bitmap_information_header bih;

      bih.width            = width_;
      bih.height           = height_;
      bih.bit_count        = static_cast<unsigned short>(bytes_per_pixel_ << 3);
      bih.clr_important    = 0;
      bih.clr_used         = 0;
      bih.compression      = 0;
      bih.planes           = 1;
      bih.size             = bih.struct_size();
      bih.x_pels_per_meter = 0;
      bih.y_pels_per_meter = 0;
      bih.size_image       = (((bih.width * bytes_per_pixel_) + 3) & 0x0000FFFC) * bih.height;

      bitmap_file_header bfh;

      bfh.type             = 19778;
      bfh.size             = bfh.struct_size() + bih.struct_size() + bih.size_image;
      bfh.reserved1        = 0;
      bfh.reserved2        = 0;
      bfh.off_bits         = bih.struct_size() + bfh.struct_size();

      write_bfh(stream,bfh);
      write_bih(stream,bih);

      unsigned int padding = (4 - ((3 * width_) % 4)) % 4;
      char padding_data[4] = { 0x00, 0x00, 0x00, 0x00 };

      for (unsigned int i = 0; i < height_; ++i)
      {
         const unsigned char* data_ptr = &data_[(row_increment_ * (height_ - i - 1))];

         stream.write(reinterpret_cast<const char*>(data_ptr),sizeof(unsigned char) * bytes_per_pixel_ * width_);
         stream.write(padding_data,padding);
      }

      stream.close();
   }

   inline void set_all_ith_bits_low(const unsigned int bitr_index)
   {
      unsigned char mask = static_cast<unsigned char>(~(1 << bitr_index));

      for (unsigned char* itr = data(); itr != end(); ++itr)
      {
         *itr &= mask;
      }
   }

   inline void set_all_ith_bits_high(const unsigned int bitr_index)
   {
      unsigned char mask = static_cast<unsigned char>(1 << bitr_index);

      for (unsigned char* itr = data(); itr != end(); ++itr)
      {
         *itr |= mask;
      }
   }

   inline void set_all_ith_channels(const unsigned int& channel, const unsigned char& value)
   {
      for (unsigned char* itr = (data() + channel); itr < end(); itr += bytes_per_pixel_)
      {
         *itr = value;
      }
   }

   inline void set_channel(const color_plane color,const unsigned char& value)
   {
      for (unsigned char* itr = (data() + offset(color)); itr < end(); itr += bytes_per_pixel_)
      {
         *itr = value;
      }
   }

   inline void ror_channel(const color_plane color, const unsigned int& ror)
   {
      for (unsigned char* itr = (data() + offset(color)); itr < end(); itr += bytes_per_pixel_)
      {
         *itr = static_cast<unsigned char>(((*itr) >> ror) | ((*itr) << (8 - ror)));
      }
   }

   inline void set_all_channels(const unsigned char& value)
   {
      for (unsigned char* itr = data(); itr < end(); )
      {
         *(itr++) = value;
      }
   }

   inline void set_all_channels(const unsigned char& r_value,
                                const unsigned char& g_value,
                                const unsigned char& b_value)
   {
      for (unsigned char* itr = (data() + 0); itr < end(); itr += bytes_per_pixel_)
      {
         *(itr + 0) = b_value;
         *(itr + 1) = g_value;
         *(itr + 2) = r_value;
      }
   }

   inline void invert_color_planes()
   {
      for (unsigned char* itr = data(); itr < end(); *itr = ~(*itr), ++itr);
   }

   inline void add_to_color_plane(const color_plane color, const unsigned char& value)
   {
      for (unsigned char* itr = (data() + offset(color)); itr < end(); itr += bytes_per_pixel_)
      {
         (*itr) += value;
      }
   }

   inline void convert_to_grayscale()
   {
      double r_scaler = 0.299;
      double g_scaler = 0.587;
      double b_scaler = 0.114;

      if (rgb_mode == channel_mode_)
      {
         std::swap(r_scaler,b_scaler);
      }

      for (unsigned char* itr = data(); itr < end(); )
      {
         unsigned char gray_value = static_cast<unsigned char>(
                                                                (r_scaler * (*(itr + 2))) +
                                                                (g_scaler * (*(itr + 1))) +
                                                                (b_scaler * (*(itr + 0)))
                                                              );
         *(itr++) = gray_value;
         *(itr++) = gray_value;
         *(itr++) = gray_value;
      }
   }

   inline const unsigned char* data() const
   {
      return data_.data();
   }

   inline unsigned char* data()
   {
      return const_cast<unsigned char*>(data_.data());
   }

   inline void bgr_to_rgb()
   {
      if ((bgr_mode == channel_mode_) && (3 == bytes_per_pixel_))
      {
         reverse_channels();
         channel_mode_ = rgb_mode;
      }
   }

   inline void rgb_to_bgr()
   {
      if ((rgb_mode == channel_mode_) && (3 == bytes_per_pixel_))
      {
         reverse_channels();
         channel_mode_ = bgr_mode;
      }
   }

   inline void reverse()
   {
      unsigned char* itr1 = data();
      unsigned char* itr2 = end() - bytes_per_pixel_;

      while (itr1 < itr2)
      {
         for (std::size_t i = 0; i < bytes_per_pixel_; ++i)
         {
            unsigned char* citr1 = itr1 + i;
            unsigned char* citr2 = itr2 + i;

            std::swap(*citr1,*citr2);
         }

         itr1 += bytes_per_pixel_;
         itr2 -= bytes_per_pixel_;
      }
   }

   inline void horizontal_flip()
   {
      for (unsigned int y = 0; y < height_; ++y)
      {
         unsigned char* itr1 = row(y);
         unsigned char* itr2 = itr1 + row_increment_ - bytes_per_pixel_;

         while (itr1 < itr2)
         {
            for (unsigned int i = 0; i < bytes_per_pixel_; ++i)
            {
               unsigned char* p1 = (itr1 + i);
               unsigned char* p2 = (itr2 + i);

               std::swap(*p1,*p2);
            }

            itr1 += bytes_per_pixel_;
            itr2 -= bytes_per_pixel_;
         }
      }
   }

   inline void vertical_flip()
   {
      for (unsigned int y = 0; y < (height_ / 2); ++y)
      {
         unsigned char* itr1 = row(y);
         unsigned char* itr2 = row(height_ - y - 1);

         for (std::size_t x = 0; x < row_increment_; ++x)
         {
            std::swap(*(itr1 + x),*(itr2 + x));
         }
      }
   }

   inline void export_color_plane(const color_plane color, unsigned char* image)
   {
      for (unsigned char* itr = (data() + offset(color)); itr < end(); ++image, itr += bytes_per_pixel_)
      {
         (*image) = (*itr);
      }
   }

   inline void export_color_plane(const color_plane color, bitmap_image& image)
   {
      if (
           (width_  != image.width_ ) ||
           (height_ != image.height_)
         )
      {
         image.setwidth_height(width_,height_);
      }

      image.clear();

      unsigned char* itr1     = (data() + offset(color));
      unsigned char* itr1_end = end();
      unsigned char* itr2     = (image.data() + offset(color));

      while (itr1 < itr1_end)
      {
         (*itr2) = (*itr1);
         itr1 += bytes_per_pixel_;
         itr2 += bytes_per_pixel_;
      }
   }

   inline void export_response_image(const color_plane color, double* response_image)
   {
      for (unsigned char* itr = (data() + offset(color)); itr < end(); ++response_image, itr += bytes_per_pixel_)
      {
         (*response_image) = (1.0 * (*itr)) / 256.0;
      }
   }

   inline void export_gray_scale_response_image(double* response_image) const
   {
      for (const unsigned char* itr = data(); itr < end(); itr += bytes_per_pixel_)
      {
         unsigned char gray_value = static_cast<unsigned char>((0.299 * (*(itr + 2))) +
                                                               (0.587 * (*(itr + 1))) +
                                                               (0.114 * (*(itr + 0))));
         (*response_image) = (1.0 * gray_value) / 256.0;
      }
   }

   inline void export_rgb(double* red, double* green, double* blue) const
   {
      if (bgr_mode != channel_mode_)
         return;

      for (const unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         (*blue)  = (1.0 * (*(itr++))) / 256.0;
         (*green) = (1.0 * (*(itr++))) / 256.0;
         (*red)   = (1.0 * (*(itr++))) / 256.0;
      }
   }

   inline void export_rgb(float* red, float* green, float* blue) const
   {
      if (bgr_mode != channel_mode_)
         return;

      for (const unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         (*blue)  = (1.0f * (*(itr++))) / 256.0f;
         (*green) = (1.0f * (*(itr++))) / 256.0f;
         (*red)   = (1.0f * (*(itr++))) / 256.0f;
      }
   }

   inline void export_rgb(unsigned char* red, unsigned char* green, unsigned char* blue) const
   {
      if (bgr_mode != channel_mode_)
         return;

      for (const unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         (*blue)  = *(itr++);
         (*green) = *(itr++);
         (*red)   = *(itr++);
      }
   }

   inline void export_ycbcr(double* y, double* cb, double* cr)
   {
      if (bgr_mode != channel_mode_)
         return;

      for (const unsigned char* itr = data(); itr < end(); ++y, ++cb, ++cr)
      {
         double blue  = (1.0 * (*(itr++)));
         double green = (1.0 * (*(itr++)));
         double red   = (1.0 * (*(itr++)));

         ( *y) = clamp<double>( 16.0 + (1.0/256.0) * (  65.738 * red + 129.057 * green +  25.064 * blue),1.0,254);
         (*cb) = clamp<double>(128.0 + (1.0/256.0) * (- 37.945 * red -  74.494 * green + 112.439 * blue),1.0,254);
         (*cr) = clamp<double>(128.0 + (1.0/256.0) * ( 112.439 * red -  94.154 * green -  18.285 * blue),1.0,254);
      }
   }

   inline void export_rgb_normal(double* red, double* green, double* blue) const
   {
      if (bgr_mode != channel_mode_)
         return;

      for (const unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         (*blue ) = (1.0 * (*(itr++)));
         (*green) = (1.0 * (*(itr++)));
         (*red  ) = (1.0 * (*(itr++)));
      }
   }

   inline void export_rgb_normal(float* red, float* green, float* blue) const
   {
      if (bgr_mode != channel_mode_)
         return;

      for (const unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         (*blue ) = (1.0f * (*(itr++)));
         (*green) = (1.0f * (*(itr++)));
         (*red  ) = (1.0f * (*(itr++)));
      }
   }

   inline void import_rgb(double* red, double* green, double* blue)
   {
      if (bgr_mode != channel_mode_)
         return;

      for (unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         *(itr++) = static_cast<unsigned char>(256.0 * (*blue ));
         *(itr++) = static_cast<unsigned char>(256.0 * (*green));
         *(itr++) = static_cast<unsigned char>(256.0 * (*red  ));
      }
   }

   inline void import_rgb(float* red, float* green, float* blue)
   {
      if (bgr_mode != channel_mode_)
         return;

      for (unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         *(itr++) = static_cast<unsigned char>(256.0f * (*blue ));
         *(itr++) = static_cast<unsigned char>(256.0f * (*green));
         *(itr++) = static_cast<unsigned char>(256.0f * (*red  ));
      }
   }

   inline void import_rgb(unsigned char* red, unsigned char* green, unsigned char* blue)
   {
      if (bgr_mode != channel_mode_)
         return;

      for (unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         *(itr++) = (*blue );
         *(itr++) = (*green);
         *(itr++) = (*red  );
      }
   }

   inline void import_ycbcr(double* y, double* cb, double* cr)
   {
      if (bgr_mode != channel_mode_)
         return;

      for (unsigned char* itr = data(); itr < end(); ++y, ++cb, ++cr)
      {
         double y_  =  (*y);
         double cb_ = (*cb);
         double cr_ = (*cr);

         *(itr++) = static_cast<unsigned char>(clamp((298.082 * y_ + 516.412 * cb_                 ) / 256.0 - 276.836,0.0,255.0));
         *(itr++) = static_cast<unsigned char>(clamp((298.082 * y_ - 100.291 * cb_ - 208.120 * cr_ ) / 256.0 + 135.576,0.0,255.0));
         *(itr++) = static_cast<unsigned char>(clamp((298.082 * y_                 + 408.583 * cr_ ) / 256.0 - 222.921,0.0,255.0));
      }
   }

   inline void import_rgb_clamped(double* red, double* green, double* blue)
   {
      if (bgr_mode != channel_mode_)
         return;

      for (unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         *(itr++) = static_cast<unsigned char>(clamp<double>(256.0 * (*blue ),0.0,255.0));
         *(itr++) = static_cast<unsigned char>(clamp<double>(256.0 * (*green),0.0,255.0));
         *(itr++) = static_cast<unsigned char>(clamp<double>(256.0 * (*red  ),0.0,255.0));
      }
   }

   inline void import_rgb_clamped(float* red, float* green, float* blue)
   {
      if (bgr_mode != channel_mode_)
         return;

      for (unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         *(itr++) = static_cast<unsigned char>(clamp<double>(256.0f * (*blue ),0.0,255.0));
         *(itr++) = static_cast<unsigned char>(clamp<double>(256.0f * (*green),0.0,255.0));
         *(itr++) = static_cast<unsigned char>(clamp<double>(256.0f * (*red  ),0.0,255.0));
      }
   }

   inline void import_rgb_normal(double* red, double* green, double* blue)
   {
      if (bgr_mode != channel_mode_)
         return;

      for (unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         *(itr++) = static_cast<unsigned char>(*blue );
         *(itr++) = static_cast<unsigned char>(*green);
         *(itr++) = static_cast<unsigned char>(*red  );
      }
   }

   inline void import_rgb_normal(float* red, float* green, float* blue)
   {
      if (bgr_mode != channel_mode_)
         return;

      for (unsigned char* itr = data(); itr < end(); ++red, ++green, ++blue)
      {
         *(itr++) = static_cast<unsigned char>(*blue );
         *(itr++) = static_cast<unsigned char>(*green);
         *(itr++) = static_cast<unsigned char>(*red  );
      }
   }

   inline void subsample(bitmap_image& dest)
   {
      /*
         Half sub-sample of original image.
      */
      unsigned int w = 0;
      unsigned int h = 0;

      bool odd_width = false;
      bool odd_height = false;

      if (0 == (width_ % 2))
         w = width_ / 2;
      else
      {
         w = 1 + (width_ / 2);
         odd_width = true;
      }

      if (0 == (height_ % 2))
         h = height_ / 2;
      else
      {
         h = 1 + (height_ / 2);
         odd_height = true;
      }

      unsigned int horizontal_upper = (odd_width)  ? (w - 1) : w;
      unsigned int vertical_upper   = (odd_height) ? (h - 1) : h;

      dest.setwidth_height(w,h);
      dest.clear();

            unsigned char* s_itr[3];
      const unsigned char*  itr1[3];
      const unsigned char*  itr2[3];

      s_itr[0] = dest.data() + 0;
      s_itr[1] = dest.data() + 1;
      s_itr[2] = dest.data() + 2;

      itr1[0] = data() + 0;
      itr1[1] = data() + 1;
      itr1[2] = data() + 2;

      itr2[0] = data() + row_increment_ + 0;
      itr2[1] = data() + row_increment_ + 1;
      itr2[2] = data() + row_increment_ + 2;

      unsigned int total = 0;

      for (unsigned int j = 0; j < vertical_upper; ++j)
      {
         for (unsigned int i = 0; i < horizontal_upper; ++i)
         {
            for (unsigned int k = 0; k < bytes_per_pixel_; s_itr[k] += bytes_per_pixel_, ++k)
            {
               total = 0;
               total += *(itr1[k]);
               total += *(itr1[k]);
               total += *(itr2[k]);
               total += *(itr2[k]);

               itr1[k] += bytes_per_pixel_;
               itr1[k] += bytes_per_pixel_;
               itr2[k] += bytes_per_pixel_;
               itr2[k] += bytes_per_pixel_;

               *(s_itr[k]) = static_cast<unsigned char>(total >> 2);
            }
         }

         if (odd_width)
         {
            for (unsigned int k = 0; k < bytes_per_pixel_; s_itr[k] += bytes_per_pixel_, ++k)
            {
               total = 0;
               total += *(itr1[k]);
               total += *(itr2[k]);

               itr1[k] += bytes_per_pixel_;
               itr2[k] += bytes_per_pixel_;

               *(s_itr[k]) = static_cast<unsigned char>(total >> 1);
            }
         }

         for (unsigned int k = 0; k < bytes_per_pixel_; ++k)
         {
            itr1[k] += row_increment_;
         }

         if (j != (vertical_upper - 1))
         {
            for (unsigned int k = 0; k < bytes_per_pixel_; ++k)
            {
               itr2[k] += row_increment_;
            }
         }
      }

      if (odd_height)
      {
         for (unsigned int i = 0; i < horizontal_upper; ++i)
         {
            for (unsigned int k = 0; k < bytes_per_pixel_; s_itr[k] += bytes_per_pixel_, ++k)
            {
               total = 0;
               total += *(itr1[k]);
               total += *(itr2[k]);

               itr1[k] += bytes_per_pixel_;
               itr2[k] += bytes_per_pixel_;

               *(s_itr[k]) = static_cast<unsigned char>(total >> 1);
            }
         }

         if (odd_width)
         {
            for (unsigned int k = 0; k < bytes_per_pixel_; ++k)
            {
               (*(s_itr[k])) = *(itr1[k]);
            }
         }
      }
   }

   inline void upsample(bitmap_image& dest)
   {
      /*
         2x up-sample of original image.
      */

      dest.setwidth_height(2 * width_ ,2 * height_);
      dest.clear();

      const unsigned char* s_itr[3];
            unsigned char*  itr1[3];
            unsigned char*  itr2[3];

      s_itr[0] = data() + 0;
      s_itr[1] = data() + 1;
      s_itr[2] = data() + 2;

      itr1[0] = dest.data() + 0;
      itr1[1] = dest.data() + 1;
      itr1[2] = dest.data() + 2;

      itr2[0] = dest.data() + dest.row_increment_ + 0;
      itr2[1] = dest.data() + dest.row_increment_ + 1;
      itr2[2] = dest.data() + dest.row_increment_ + 2;

      for (unsigned int j = 0; j < height_; ++j)
      {
         for (unsigned int i = 0; i < width_; ++i)
         {
            for (unsigned int k = 0; k < bytes_per_pixel_; s_itr[k] += bytes_per_pixel_, ++k)
            {
               *(itr1[k]) = *(s_itr[k]); itr1[k] += bytes_per_pixel_;
               *(itr1[k]) = *(s_itr[k]); itr1[k] += bytes_per_pixel_;

               *(itr2[k]) = *(s_itr[k]); itr2[k] += bytes_per_pixel_;
               *(itr2[k]) = *(s_itr[k]); itr2[k] += bytes_per_pixel_;
            }
         }

         for (unsigned int k = 0; k < bytes_per_pixel_; ++k)
         {
            itr1[k] += dest.row_increment_;
            itr2[k] += dest.row_increment_;
         }
      }
   }

   inline void alpha_blend(const double& alpha, const bitmap_image& image)
   {
      if (
           (image.width_  != width_ ) ||
           (image.height_ != height_)
         )
      {
         return;
      }

      if ((alpha < 0.0) || (alpha > 1.0))
      {
         return;
      }

      unsigned char* itr1       = data();
      unsigned char* itr1_end   = end();
      const unsigned char* itr2 = image.data();

      double alpha_compliment = 1.0 - alpha;

      while (itr1 != itr1_end)
      {
         *(itr1) = static_cast<unsigned char>((alpha * (*itr2)) + (alpha_compliment * (*itr1)));
         ++itr1;
         ++itr2;
      }
   }

   inline double psnr(const bitmap_image& image)
   {
      if (
           (image.width_  != width_ ) ||
           (image.height_ != height_)
         )
      {
         return 0.0;
      }

      unsigned char*       itr1 = data();
      const unsigned char* itr2 = image.data();

      double mse = 0.0;

      while (itr1 != end())
      {
         double v = (static_cast<double>(*itr1) - static_cast<double>(*itr2));

         mse += v * v;
         ++itr1;
         ++itr2;
      }

      if (mse <= 0.0000001)
      {
         return 1000000.0;
      }
      else
      {
         mse /= (3.0 * width_ * height_);
         return 20.0 * std::log10(255.0 / std::sqrt(mse));
      }
   }

   inline double psnr(const unsigned int& x,
                      const unsigned int& y,
                      const bitmap_image& image)
   {
      if ((x + image.width() ) > width_ ) { return 0.0; }
      if ((y + image.height()) > height_) { return 0.0; }

      double mse = 0.0;

      const unsigned int height = image.height();
      const unsigned int width  = image.width();

      for (unsigned int r = 0; r < height; ++r)
      {
         unsigned char* itr1       = row(r + y) + x * bytes_per_pixel_;
         unsigned char* itr1_end   = itr1 + (width * bytes_per_pixel_);
         const unsigned char* itr2 = image.row(r);

         while (itr1 != itr1_end)
         {
            double v = (static_cast<double>(*itr1) - static_cast<double>(*itr2));
            mse += v * v;
            ++itr1;
            ++itr2;
         }
      }

      if (mse <= 0.0000001)
      {
         return 1000000.0;
      }
      else
      {
         mse /= (3.0 * image.width() * image.height());
         return 20.0 * std::log10(255.0 / std::sqrt(mse));
      }
   }

   inline void histogram(const color_plane color, double hist[256])
   {
      std::fill(hist,hist + 256,0.0);

      for (unsigned char* itr = (data() + offset(color)); itr < end(); itr += bytes_per_pixel_)
      {
         ++hist[(*itr)];
      }
   }

   inline void histogram_normalized(const color_plane color, double hist[256])
   {
      histogram(color,hist);

      double* h_itr = hist;
      const double* h_end = hist + 256;
      const double pixel_count = static_cast<double>(width_ * height_);

      while (h_end != h_itr)
      {
         *(h_itr++) /= pixel_count;
      }
   }

   inline unsigned int offset(const color_plane color)
   {
      switch (channel_mode_)
      {
         case rgb_mode : {
                            switch (color)
                            {
                               case red_plane   : return 0;
                               case green_plane : return 1;
                               case blue_plane  : return 2;
                               default          : return std::numeric_limits<unsigned int>::max();
                            }
                         }

         case bgr_mode : {
                            switch (color)
                            {
                               case red_plane   : return 2;
                               case green_plane : return 1;
                               case blue_plane  : return 0;
                               default          : return std::numeric_limits<unsigned int>::max();
                            }
                         }

         default       : return std::numeric_limits<unsigned int>::max();
      }
   }

   inline void incremental()
   {
      unsigned char current_color = 0;

      for (unsigned char* itr = data(); itr < end();)
      {
         (*itr++) = (current_color);
         (*itr++) = (current_color);
         (*itr++) = (current_color);

         ++current_color;
      }
   }

   inline void reverse_channels()
   {
      if (3 != bytes_per_pixel_)
         return;

      for (unsigned char* itr = data(); itr < end(); itr += bytes_per_pixel_)
      {
         std::swap(*(itr + 0),*(itr + 2));
      }
   }

private:

   inline const unsigned char* end() const
   {
      return data_.data() + data_.size();
   }

   inline unsigned char* end()
   {
      return const_cast<unsigned char*>(data() + data_.size());
   }

   struct bitmap_file_header
   {
      unsigned short type;
      unsigned int   size;
      unsigned short reserved1;
      unsigned short reserved2;
      unsigned int   off_bits;

      unsigned int struct_size() const
      {
         return sizeof(type     ) +
                sizeof(size     ) +
                sizeof(reserved1) +
                sizeof(reserved2) +
                sizeof(off_bits ) ;
      }

      void clear()
      {
         std::memset(this,0x00,sizeof(bitmap_file_header));
      }
   };

   struct bitmap_information_header
   {
      unsigned int   size;
      unsigned int   width;
      unsigned int   height;
      unsigned short planes;
      unsigned short bit_count;
      unsigned int   compression;
      unsigned int   size_image;
      unsigned int   x_pels_per_meter;
      unsigned int   y_pels_per_meter;
      unsigned int   clr_used;
      unsigned int   clr_important;

      unsigned int struct_size() const
      {
         return sizeof(size            ) +
                sizeof(width           ) +
                sizeof(height          ) +
                sizeof(planes          ) +
                sizeof(bit_count       ) +
                sizeof(compression     ) +
                sizeof(size_image      ) +
                sizeof(x_pels_per_meter) +
                sizeof(y_pels_per_meter) +
                sizeof(clr_used        ) +
                sizeof(clr_important   ) ;
      }

      void clear()
      {
         std::memset(this,0x00,sizeof(bitmap_information_header));
      }
   };

   inline bool big_endian() const
   {
      unsigned int v = 0x01;

      return (1 != reinterpret_cast<char*>(&v)[0]);
   }

   inline unsigned short flip(const unsigned short& v) const
   {
      return ((v >> 8) | (v << 8));
   }

   inline unsigned int flip(const unsigned int& v) const
   {
      return (
               ((v & 0xFF000000) >> 0x18) |
               ((v & 0x000000FF) << 0x18) |
               ((v & 0x00FF0000) >> 0x08) |
               ((v & 0x0000FF00) << 0x08)
             );
   }

   template <typename T>
   inline void read_from_stream(std::ifstream& stream,T& t)
   {
      stream.read(reinterpret_cast<char*>(&t),sizeof(T));
   }

   template <typename T>
   inline void write_to_stream(std::ofstream& stream,const T& t) const
   {
      stream.write(reinterpret_cast<const char*>(&t),sizeof(T));
   }

   inline void read_bfh(std::ifstream& stream, bitmap_file_header& bfh)
   {
      read_from_stream(stream,bfh.type     );
      read_from_stream(stream,bfh.size     );
      read_from_stream(stream,bfh.reserved1);
      read_from_stream(stream,bfh.reserved2);
      read_from_stream(stream,bfh.off_bits );

      if (big_endian())
      {
         bfh.type      = flip(bfh.type     );
         bfh.size      = flip(bfh.size     );
         bfh.reserved1 = flip(bfh.reserved1);
         bfh.reserved2 = flip(bfh.reserved2);
         bfh.off_bits  = flip(bfh.off_bits );
      }
   }

   inline void write_bfh(std::ofstream& stream, const bitmap_file_header& bfh) const
   {
      if (big_endian())
      {
         write_to_stream(stream,flip(bfh.type     ));
         write_to_stream(stream,flip(bfh.size     ));
         write_to_stream(stream,flip(bfh.reserved1));
         write_to_stream(stream,flip(bfh.reserved2));
         write_to_stream(stream,flip(bfh.off_bits ));
      }
      else
      {
         write_to_stream(stream,bfh.type     );
         write_to_stream(stream,bfh.size     );
         write_to_stream(stream,bfh.reserved1);
         write_to_stream(stream,bfh.reserved2);
         write_to_stream(stream,bfh.off_bits );
      }
   }

   inline void read_bih(std::ifstream& stream,bitmap_information_header& bih)
   {
      read_from_stream(stream,bih.size            );
      read_from_stream(stream,bih.width           );
      read_from_stream(stream,bih.height          );
      read_from_stream(stream,bih.planes          );
      read_from_stream(stream,bih.bit_count       );
      read_from_stream(stream,bih.compression     );
      read_from_stream(stream,bih.size_image      );
      read_from_stream(stream,bih.x_pels_per_meter);
      read_from_stream(stream,bih.y_pels_per_meter);
      read_from_stream(stream,bih.clr_used        );
      read_from_stream(stream,bih.clr_important   );

      if (big_endian())
      {
         bih.size        = flip(bih.size                 );
         bih.width       = flip(bih.width                );
         bih.height      = flip(bih.height               );
         bih.planes      = flip(bih.planes               );
         bih.bit_count   = flip(bih.bit_count            );
         bih.compression = flip(bih.compression          );
         bih.size_image  = flip(bih.size_image           );
         bih.x_pels_per_meter = flip(bih.x_pels_per_meter);
         bih.y_pels_per_meter = flip(bih.y_pels_per_meter);
         bih.clr_used      = flip(bih.clr_used           );
         bih.clr_important = flip(bih.clr_important      );
      }
   }

   inline void write_bih(std::ofstream& stream, const bitmap_information_header& bih) const
   {
      if (big_endian())
      {
         write_to_stream(stream,flip(bih.size            ));
         write_to_stream(stream,flip(bih.width           ));
         write_to_stream(stream,flip(bih.height          ));
         write_to_stream(stream,flip(bih.planes          ));
         write_to_stream(stream,flip(bih.bit_count       ));
         write_to_stream(stream,flip(bih.compression     ));
         write_to_stream(stream,flip(bih.size_image      ));
         write_to_stream(stream,flip(bih.x_pels_per_meter));
         write_to_stream(stream,flip(bih.y_pels_per_meter));
         write_to_stream(stream,flip(bih.clr_used        ));
         write_to_stream(stream,flip(bih.clr_important   ));
      }
      else
      {
         write_to_stream(stream,bih.size            );
         write_to_stream(stream,bih.width           );
         write_to_stream(stream,bih.height          );
         write_to_stream(stream,bih.planes          );
         write_to_stream(stream,bih.bit_count       );
         write_to_stream(stream,bih.compression     );
         write_to_stream(stream,bih.size_image      );
         write_to_stream(stream,bih.x_pels_per_meter);
         write_to_stream(stream,bih.y_pels_per_meter);
         write_to_stream(stream,bih.clr_used        );
         write_to_stream(stream,bih.clr_important   );
      }
   }

   inline std::size_t file_size(const std::string& file_name)
   {
      std::ifstream file(file_name.c_str(),std::ios::in | std::ios::binary);
      if (!file) return 0;
      file.seekg (0, std::ios::end);
      return static_cast<std::size_t>(file.tellg());
   }

   void create_bitmap()
   {
      row_increment_ = width_ * bytes_per_pixel_;
      data_.resize(height_ * row_increment_);
   }

   void load_bitmap()
   {
      std::ifstream stream(file_name_.c_str(),std::ios::binary);

      if (!stream)
      {
         std::cerr << "bitmap_image::load_bitmap() ERROR: bitmap_image - file " << file_name_ << " not found!" << std::endl;
         return;
      }

      width_  = 0;
      height_ = 0;

      bitmap_file_header bfh;
      bitmap_information_header bih;

      bfh.clear();
      bih.clear();

      read_bfh(stream,bfh);
      read_bih(stream,bih);

      if (bfh.type != 19778)
      {
         bfh.clear();
         bih.clear();

         stream.close();

         std::cerr << "bitmap_image::load_bitmap() ERROR: bitmap_image - Invalid type value " << bfh.type << " expected 19778." << std::endl;
         return;
      }

      if (bih.bit_count != 24)
      {
         bfh.clear();
         bih.clear();

         stream.close();

         std::cerr << "bitmap_image::load_bitmap() ERROR: bitmap_image - Invalid bit depth " << bih.bit_count << " expected 24." << std::endl;

         return;
      }

      if (bih.size != bih.struct_size())
      {
         bfh.clear();
         bih.clear();

         stream.close();

         std::cerr << "bitmap_image::load_bitmap() ERROR: bitmap_image - Invalid BIH size " << bih.size << " expected " << bih.struct_size() << std::endl;

         return;
      }

      width_  = bih.width;
      height_ = bih.height;

      bytes_per_pixel_ = bih.bit_count >> 3;

      unsigned int padding = (4 - ((3 * width_) % 4)) % 4;
      char padding_data[4] = {0,0,0,0};

      std::size_t bitmap_file_size = file_size(file_name_);

      std::size_t bitmap_logical_size = (height_ * width_ * bytes_per_pixel_) + (height_ * padding) + bih.struct_size() + bfh.struct_size();

      if (bitmap_file_size != bitmap_logical_size)
      {
         bfh.clear();
         bih.clear();

         stream.close();

         std::cerr << "bitmap_image::load_bitmap() ERROR: bitmap_image - Mismatch between logical and physical sizes of bitmap. " <<
                      "Logical: "  << bitmap_logical_size << " " <<
                      "Physical: " << bitmap_file_size    << std::endl;

         return;
      }

      create_bitmap();

      for (unsigned int i = 0; i < height_; ++i)
      {
         unsigned char* data_ptr = row(height_ - i - 1); // read in inverted row order

         stream.read(reinterpret_cast<char*>(data_ptr),sizeof(char) * bytes_per_pixel_ * width_);
         stream.read(padding_data,padding);
      }
   }

   template <typename T>
   inline T clamp(const T& v, const T& lower_range, const T& upper_range)
   {
      if (v < lower_range)
         return lower_range;
      else if (v >  upper_range)
         return upper_range;
      else
         return v;
   }

   std::string  file_name_;
   unsigned int width_;
   unsigned int height_;
   unsigned int row_increment_;
   unsigned int bytes_per_pixel_;
   channel_mode channel_mode_;
   std::vector<unsigned char> data_;
};

struct rgb_t
{
   unsigned char   red;
   unsigned char green;
   unsigned char  blue;
};

inline bool operator==(const rgb_t& c0, const rgb_t& c1)
{
   return (c0.red   == c1  .red) &&
          (c0.green == c1.green) &&
          (c0.blue  == c1 .blue);
}

inline bool operator!=(const rgb_t& c0, const rgb_t& c1)
{
   return (c0.red   != c1  .red) ||
          (c0.green != c1.green) ||
          (c0.blue  != c1 .blue);
}

inline std::size_t hamming_distance(const rgb_t& c0, const rgb_t& c1)
{
   std::size_t result = 0;

   if (c0.red   != c1  .red) ++result;
   if (c0.green != c1.green) ++result;
   if (c0.blue  != c1 .blue) ++result;

   return result;
}

inline rgb_t make_colour(const unsigned int& red, const unsigned int& green, const unsigned int& blue)
{
   rgb_t result;

   result.red   = static_cast<unsigned char>(red  );
   result.green = static_cast<unsigned char>(green);
   result.blue  = static_cast<unsigned char>(blue );

   return result;
}

template <typename OutputIterator>
inline void generate_colours(const std::size_t& steps, const rgb_t c0, const rgb_t& c1, OutputIterator out)
{
   double dr = ((double)c1.red   -  (double)c0.red   ) / steps;
   double dg = ((double)c1.green -  (double)c0.green ) / steps;
   double db = ((double)c1.blue  -  (double)c0.blue  ) / steps;

   for (std::size_t i = 0; i < steps; ++i)
   {
      rgb_t c;

      c.red   = static_cast<unsigned char>(c0.red   + (i * dr));
      c.green = static_cast<unsigned char>(c0.green + (i * dg));
      c.blue  = static_cast<unsigned char>(c0.blue  + (i * db));

      *(out++) = c;
   }
}

template <typename ResponseImage, typename Palette>
inline std::size_t convert_rsp_to_image(const ResponseImage& resp_image, const Palette& palette, bitmap_image& image)
{
   if (
        (resp_image.width () > image.width ()) ||
        (resp_image.height() > image.height())
      )
      return 0;

   for (std::size_t y = 0; y < resp_image.height(); ++y)
   {
      for (std::size_t x = 0; x < resp_image.width(); ++x)
      {
         const double v = resp_image(x,y);

         unsigned int index = static_cast<unsigned int>((v < 0) ? 0 : v > (palette.size()) ? (palette.size() - 1) : v);

         image.set_pixel(x,y,palette[index]);
      }
   }

   return (resp_image.width() * resp_image.height());
}

inline void rgb_to_ycbcr(const unsigned int& length, double* red, double* green, double* blue,
                                                     double* y,   double* cb,    double* cr)
{
   unsigned int i = 0;

   while (i < length)
   {
      ( *y) =   16.0 + (  65.481 * (*red) +  128.553 * (*green) +  24.966 * (*blue));
      (*cb) =  128.0 + ( -37.797 * (*red) +  -74.203 * (*green) + 112.000 * (*blue));
      (*cr) =  128.0 + ( 112.000 * (*red) +  -93.786 * (*green) -  18.214 * (*blue));

      ++i;
      ++red; ++green; ++blue;
      ++y;   ++cb;    ++cr;
   }
}

inline void ycbcr_to_rgb(const unsigned int& length, double* y,   double* cb,    double* cr,
                                                     double* red, double* green, double* blue)
{
   unsigned int i = 0;

   while (i < length)
   {
      double y_  =  (*y) -  16.0;
      double cb_ = (*cb) - 128.0;
      double cr_ = (*cr) - 128.0;

        (*red) = 0.000456621 * y_                    + 0.00625893 * cr_;
      (*green) = 0.000456621 * y_ - 0.00153632 * cb_ - 0.00318811 * cr_;
       (*blue) = 0.000456621 * y_                    + 0.00791071 * cb_;

      ++i;
      ++red; ++green; ++blue;
      ++y;   ++cb;    ++cr;
   }
}

inline void subsample(const unsigned int& width,
                      const unsigned int& height,
                      const double* source,
                      unsigned int& w,
                      unsigned int& h,
                      double*& dest)
{
   /*  Single channel.  */

   w = 0;
   h = 0;

   bool odd_width = false;
   bool odd_height = false;

   if (0 == (width % 2))
      w = width / 2;
   else
   {
      w = 1 + (width / 2);
      odd_width = true;
   }

   if (0 == (height % 2))
      h = height / 2;
   else
   {
      h = 1 + (height / 2);
      odd_height = true;
   }

   unsigned int horizontal_upper = (odd_width)  ? w - 1 : w;
   unsigned int vertical_upper   = (odd_height) ? h - 1 : h;

   dest = new double[w * h];

         double* s_itr = dest;
   const double* itr1  = source;
   const double* itr2  = source + width;

   for (unsigned int j = 0; j < vertical_upper; ++j)
   {
      for (unsigned int i = 0; i < horizontal_upper; ++i, ++s_itr)
      {
          (*s_itr)  = *(itr1++);
          (*s_itr) += *(itr1++);
          (*s_itr) += *(itr2++);
          (*s_itr) += *(itr2++);
          (*s_itr) /=  4.0;
      }

      if (odd_width)
      {
         (*(s_itr++)) = ((*itr1++) + (*itr2++)) / 2.0;
      }

      itr1 += width;

      if (j != (vertical_upper -1))
      {
         itr2 += width;
      }
   }

   if (odd_height)
   {
      for (unsigned int i = 0; i < horizontal_upper; ++i, ++s_itr)
      {
         (*s_itr) += (*(itr1++));
         (*s_itr) += (*(itr1++));
         (*s_itr) /= 2.0;
      }

      if (odd_width)
      {
         (*(s_itr++)) = (*itr1);
      }
   }
}

inline void upsample(const unsigned int& width,
                     const unsigned int& height,
                     const double* source,
                     unsigned int& w,
                     unsigned int& h,
                     double*& dest)
{
   /* Single channel. */

   w = 2 * width;
   h = 2 * height;

   dest = new double[w * h];

   const double* s_itr = source;
         double* itr1  = dest;
         double* itr2  = dest + w;

   for (unsigned int j = 0; j < height; ++j)
   {
      for (unsigned int i = 0; i < width; ++i, ++s_itr)
      {
          *(itr1++) = (*s_itr);
          *(itr1++) = (*s_itr);
          *(itr2++) = (*s_itr);
          *(itr2++) = (*s_itr);
      }

      itr1 += w;
      itr2 += w;
   }
}

inline void checkered_pattern(const unsigned int x_width,
                              const unsigned int y_width,
                              const unsigned char value,
                              const bitmap_image::color_plane color,
                              bitmap_image& image)
{
   if (
        (x_width >= image.width ()) ||
        (y_width >= image.height())
      )
   {
      return;
   }

   bool setter_x = false;
   bool setter_y = true;

   const unsigned int color_plane_offset = image.offset(color);
   const unsigned int height = image.height();
   const unsigned int width  = image.width();

   for (unsigned int y = 0; y < height; ++y)
   {
      if (0 == (y % y_width))
      {
         setter_y = !setter_y;
      }

      unsigned char* row = image.row(y) + color_plane_offset;

      for (unsigned int x = 0; x < width; ++x, row += image.bytes_per_pixel())
      {
         if (0 == (x % x_width))
         {
            setter_x = !setter_x;
         }

         if (setter_x ^ setter_y)
         {
            *row = value;
         }
      }
   }
}

inline void checkered_pattern(const unsigned int x_width,
                              const unsigned int y_width,
                              const unsigned char red,
                              const unsigned char green,
                              const unsigned char blue,
                              bitmap_image& image)
{
   if (
        (x_width >= image.width ()) ||
        (y_width >= image.height())
      )
   {
      return;
   }

   bool setter_x = false;
   bool setter_y = true;

   const unsigned int height = image.height();
   const unsigned int width  = image.width();

   for (unsigned int y = 0; y < height; ++y)
   {
      if (0 == (y % y_width))
      {
         setter_y = !setter_y;
      }

      unsigned char* row = image.row(y);

      for (unsigned int x = 0; x < width; ++x, row += image.bytes_per_pixel())
      {
         if (0 == (x % x_width))
         {
            setter_x = !setter_x;
         }

         if (setter_x ^ setter_y)
         {
            *(row + 0) = blue;
            *(row + 1) = green;
            *(row + 2) = red;
         }
      }
   }
}

inline void plasma(bitmap_image& image,
                   const double& x,     const double& y,
                   const double& width, const double& height,
                   const double& c1,    const double& c2,
                   const double& c3,    const double& c4,
                   const double& roughness = 3.0,
                   const rgb_t colormap[] = 0)
{
   // Note: c1,c2,c3,c4 -> [0.0,1.0]

   double half_width  = ( width / 2.0);
   double half_height = (height / 2.0);

   if ((width >= 1.0) || (height >= 1.0))
   {
      double corner1 = (c1 + c2) / 2.0;
      double corner2 = (c2 + c3) / 2.0;
      double corner3 = (c3 + c4) / 2.0;
      double corner4 = (c4 + c1) / 2.0;
      double center  = (c1 + c2 + c3 + c4) / 4.0 +
                       ((1.0 * ::rand() /(1.0 * RAND_MAX))  - 0.5) * // should use a better rng
                       ((1.0 * half_width + half_height) / (image.width() + image.height()) * roughness);

      center = std::min<double>(std::max<double>(0.0,center),1.0);

      plasma(image, x,                            y, half_width, half_height,      c1, corner1,  center, corner4,roughness,colormap);
      plasma(image, x + half_width,               y, half_width, half_height, corner1,      c2, corner2,  center,roughness,colormap);
      plasma(image, x + half_width, y + half_height, half_width, half_height,  center, corner2,      c3, corner3,roughness,colormap);
      plasma(image, x,              y + half_height, half_width, half_height, corner4,  center, corner3,      c4,roughness,colormap);
   }
   else
   {
      rgb_t color = colormap[static_cast<unsigned int>(1000.0 * ((c1 + c2 + c3 + c4) / 4.0)) % 1000];

      image.set_pixel(static_cast<unsigned int>(x),static_cast<unsigned int>(y),color);
   }
}

inline double psnr_region(const unsigned int& x,      const unsigned int& y,
                          const unsigned int& width,  const unsigned int& height,
                          const bitmap_image& image1, const bitmap_image& image2)
{
   if (
        (image1.width()  != image2.width ()) ||
        (image1.height() != image2.height())
      )
   {
      return 0.0;
   }

   if ((x + width ) > image1.width() ) { return 0.0; }
   if ((y + height) > image1.height()) { return 0.0; }

   double mse = 0.0;

   for (unsigned int r = 0; r < height; ++r)
   {
      const unsigned char* itr1     = image1.row(r + y) + x * image1.bytes_per_pixel();
      const unsigned char* itr1_end = itr1 + (width * image1.bytes_per_pixel());
      const unsigned char* itr2     = image2.row(r + y) + x * image2.bytes_per_pixel();

      while (itr1 != itr1_end)
      {
         double v = (static_cast<double>(*itr1) - static_cast<double>(*itr2));
         mse += v * v;
         ++itr1;
         ++itr2;
      }
   }

   if (mse <= 0.0000001)
   {
      return 1000000.0;
   }
   else
   {
      mse /= (3.0 * width * height);
      return 20.0 * std::log10(255.0 / std::sqrt(mse));
   }
}

inline void hierarchical_psnr_r(const double& x,     const double& y,
                                const double& width, const double& height,
                                const bitmap_image& image1,
                                      bitmap_image& image2,
                                const double& threshold,
                                const rgb_t colormap[])
{
   if ((width <= 4.0) || (height <= 4.0))
   {
      double psnr = psnr_region(
                                 static_cast<unsigned int>(x),
                                 static_cast<unsigned int>(y),
                                 static_cast<unsigned int>(width),
                                 static_cast<unsigned int>(height),
                                 image1,image2
                               );

      if (psnr < threshold)
      {
         rgb_t c = colormap[static_cast<unsigned int>(1000.0 * (1.0 - (psnr / threshold)))];

         image2.set_region(
                            static_cast<unsigned int>(x),
                            static_cast<unsigned int>(y),
                            static_cast<unsigned int>(width + 1),
                            static_cast<unsigned int>(height + 1),
                            c.red,c.green,c.blue
                          );
      }
   }
   else
   {
      double half_width  = ( width / 2.0);
      double half_height = (height / 2.0);

      hierarchical_psnr_r(x             , y              , half_width, half_height,image1,image2,threshold,colormap);
      hierarchical_psnr_r(x + half_width, y              , half_width, half_height,image1,image2,threshold,colormap);
      hierarchical_psnr_r(x + half_width, y + half_height, half_width, half_height,image1,image2,threshold,colormap);
      hierarchical_psnr_r(x             , y + half_height, half_width, half_height,image1,image2,threshold,colormap);
   }
}

inline void hierarchical_psnr(bitmap_image& image1,bitmap_image& image2, const double threshold, const rgb_t colormap[])
{
   if (
        (image1.width()  != image2.width ()) ||
        (image1.height() != image2.height())
      )
   {
      return;
   }

   double psnr = psnr_region(0,0,image1.width(),image1.height(),image1,image2);

   if (psnr < threshold)
   {
      hierarchical_psnr_r(0,0, image1.width(), image1.height(),image1,image2,threshold,colormap);
   }
}

class image_drawer
{
public:

   image_drawer(bitmap_image& image)
   : image_(image),
     pen_width_(1),
     pen_color_red_  (0),
     pen_color_green_(0),
     pen_color_blue_ (0)
   {}

   void rectangle(int x1, int y1, int x2, int y2)
   {
      line_segment(x1,y1,x2,y1);
      line_segment(x2,y1,x2,y2);
      line_segment(x2,y2,x1,y2);
      line_segment(x1,y2,x1,y1);
   }

   void triangle(int x1, int y1, int x2, int y2,int x3, int y3)
   {
      line_segment(x1,y1,x2,y2);
      line_segment(x2,y2,x3,y3);
      line_segment(x3,y3,x1,y1);
   }

   void quadix(int x1, int y1, int x2, int y2,int x3, int y3, int x4, int y4)
   {
      line_segment(x1,y1,x2,y2);
      line_segment(x2,y2,x3,y3);
      line_segment(x3,y3,x4,y4);
      line_segment(x4,y4,x1,y1);
   }

   void line_segment(int x1, int y1, int x2, int y2)
   {
      int steep = 0;
      int sx    = ((x2 - x1) > 0) ? 1 : -1;
      int sy    = ((y2 - y1) > 0) ? 1 : -1;
      int dx    = abs(x2 - x1);
      int dy    = abs(y2 - y1);

      if (dy > dx)
      {
         std::swap(x1,y1);
         std::swap(dx,dy);
         std::swap(sx,sy);

         steep = 1;
      }

      int e = 2 * dy - dx;

      for (int i = 0; i < dx; ++i)
      {
         if (steep)
            plot_pen_pixel(y1,x1);
         else
            plot_pen_pixel(x1,y1);

         while (e >= 0)
         {
            y1 += sy;
            e -= (dx << 1);
         }

         x1 += sx;
         e  += (dy << 1);
      }

      plot_pen_pixel(x2,y2);
   }

   void horiztonal_line_segment(int x1, int x2, int y)
   {
      if (x1 > x2)
      {
         std::swap(x1,x2);
      }

      for (int i = 0; i < (x2 - x1); ++i)
      {
         plot_pen_pixel(x1 +  i,y);
      }
   }

   void vertical_line_segment(int y1, int y2, int x)
   {
      if (y1 > y2)
      {
         std::swap(y1,y2);
      }

      for (int i = 0; i < (y2 - y1); ++i)
      {
         plot_pen_pixel(x, y1 +  i);
      }
   }

   void ellipse(int centerx, int centery, int a, int b)
   {
      int t1 = a * a;
      int t2 = t1 << 1;
      int t3 = t2 << 1;
      int t4 = b * b;
      int t5 = t4 << 1;
      int t6 = t5 << 1;
      int t7 = a * t5;
      int t8 = t7 << 1;
      int t9 = 0;

      int d1 = t2 - t7 + (t4 >> 1);
      int d2 = (t1 >> 1) - t8 + t5;
      int x  = a;
      int y  = 0;

      int negative_tx = centerx - x;
      int positive_tx = centerx + x;
      int negative_ty = centery - y;
      int positive_ty = centery + y;

      while (d2 < 0)
      {
         plot_pen_pixel(positive_tx, positive_ty);
         plot_pen_pixel(positive_tx, negative_ty);
         plot_pen_pixel(negative_tx, positive_ty);
         plot_pen_pixel(negative_tx, negative_ty);

         ++y;

         t9 = t9 + t3;

         if (d1 < 0)
         {
            d1 = d1 + t9 + t2;
            d2 = d2 + t9;
         }
         else
         {
            x--;
            t8 = t8 - t6;
            d1 = d1 + (t9 + t2 - t8);
            d2 = d2 + (t9 + t5 - t8);
            negative_tx = centerx - x;
            positive_tx = centerx + x;
         }

         negative_ty = centery - y;
         positive_ty = centery + y;
      }

      do
      {
         plot_pen_pixel(positive_tx, positive_ty);
         plot_pen_pixel(positive_tx, negative_ty);
         plot_pen_pixel(negative_tx, positive_ty);
         plot_pen_pixel(negative_tx, negative_ty);

         x--;
         t8 = t8 - t6;

         if (d2 < 0)
         {
            ++y;
            t9 = t9 + t3;
            d2 = d2 + (t9 + t5 - t8);
            negative_ty = centery - y;
            positive_ty = centery + y;
         }
         else
            d2 = d2 + (t5 - t8);

         negative_tx = centerx - x;
         positive_tx = centerx + x;
      }
      while (x >= 0);
   }

   void circle(int centerx, int centery, int radius)
   {
      int x = 0;
      int d = (1 - radius) << 1;

      while (radius >= 0)
      {
         plot_pen_pixel(centerx + x, centery + radius);
         plot_pen_pixel(centerx + x, centery - radius);
         plot_pen_pixel(centerx - x, centery + radius);
         plot_pen_pixel(centerx - x, centery - radius);

         if ((d + radius) > 0)
            d -= ((--radius) << 1) - 1;
         if (x > d)
            d += ((++x) << 1) + 1;
      }
   }

   void plot_pen_pixel(int x, int y)
   {
      switch (pen_width_)
      {
         case 1  : plot_pixel(x,y);
                   break;

         case 2  : {
                      plot_pixel(x    , y    );
                      plot_pixel(x + 1, y    );
                      plot_pixel(x + 1, y + 1);
                      plot_pixel(x    , y + 1);
                   }
                   break;

         case  3 : {
                      plot_pixel(x    , y - 1);
                      plot_pixel(x - 1, y - 1);
                      plot_pixel(x + 1, y - 1);

                      plot_pixel(x    , y    );
                      plot_pixel(x - 1, y    );
                      plot_pixel(x + 1, y    );

                      plot_pixel(x    , y + 1);
                      plot_pixel(x - 1, y + 1);
                      plot_pixel(x + 1, y + 1);
                   }
                   break;

         default : plot_pixel(x,y);
                   break;
      }
   }

   void plot_pixel(int x, int y)
   {
      if (
           (x < 0) ||
           (y < 0) ||
           (x >= static_cast<int>(image_.width ())) ||
           (y >= static_cast<int>(image_.height()))
         )
         return;

      image_.set_pixel(x,y,pen_color_red_,pen_color_green_,pen_color_blue_);
   }

   void pen_width(const unsigned int& width)
   {
      if ((width > 0) && (width < 4))
      {
         pen_width_ = width;
      }
   }

   void pen_color(const unsigned char& red,
                  const unsigned char& green,
                  const unsigned char& blue)
   {
      pen_color_red_   = red;
      pen_color_green_ = green;
      pen_color_blue_  = blue;
   }

   template <typename RGB>
   void pen_color(const RGB colour)
   {
      pen_color_red_   = colour.red;
      pen_color_green_ = colour.green;
      pen_color_blue_  = colour.blue;
   }

private:

   image_drawer(const image_drawer& id);
   image_drawer& operator =(const image_drawer& id);

   bitmap_image& image_;
   unsigned int  pen_width_;
   unsigned char pen_color_red_;
   unsigned char pen_color_green_;
   unsigned char pen_color_blue_;
};

class cartesian_canvas
{
public:

   cartesian_canvas(const double x_length, const double y_length)
   : width_div2_ (0.0),
     height_div2_(0.0),
     min_x_      (0.0),
     min_y_      (0.0),
     max_x_      (0.0),
     max_y_      (0.0),
     draw_       (image_)
   {
      setup_canvas(x_length,y_length);
   }

   inline bool operator!()
   {
      return !image_;
   }

   void rectangle(double x1, double y1, double x2, double y2)
   {
      line_segment(x1,y1,x2,y1);
      line_segment(x2,y1,x2,y2);
      line_segment(x2,y2,x1,y2);
      line_segment(x1,y2,x1,y1);
   }

   void triangle(double x1, double y1, double x2, double y2, double x3, double y3)
   {
      line_segment(x1,y1,x2,y2);
      line_segment(x2,y2,x3,y3);
      line_segment(x3,y3,x1,y1);
   }

   void quadix(double x1, double y1, double x2, double y2, double x3, double y3, double x4, double y4)
   {
      line_segment(x1,y1,x2,y2);
      line_segment(x2,y2,x3,y3);
      line_segment(x3,y3,x4,y4);
      line_segment(x4,y4,x1,y1);
   }

   void line_segment(double x1, double y1, double x2, double y2)
   {
      if (clip(x1,y1,x2,y2))
      {
         const int sc_x1 = static_cast<int>(cart_to_screen_x(x1));
         const int sc_x2 = static_cast<int>(cart_to_screen_x(x2));
         const int sc_y1 = static_cast<int>(cart_to_screen_y(y1));
         const int sc_y2 = static_cast<int>(cart_to_screen_y(y2));

         draw_.line_segment(sc_x1,sc_y1,sc_x2,sc_y2);
      }
   }

   void horiztonal_line_segment(double x1, double x2, double y)
   {
      x1 = clamp_x(x1);
      x2 = clamp_x(x2);
      y  = clamp_y( y);

      const int sc_x1 = static_cast<int>(cart_to_screen_x(x1));
      const int sc_x2 = static_cast<int>(cart_to_screen_x(x2));
      const int sc_y  = static_cast<int>(cart_to_screen_y(y ));

      draw_.horiztonal_line_segment(sc_x1,sc_x2,sc_y);
   }

   void vertical_line_segment(double y1, double y2, double x)
   {
      y1 = clamp_y(y1);
      y2 = clamp_y(y2);
      x  = clamp_x( x);

      const int sc_y1 = static_cast<int>(cart_to_screen_y(y1));
      const int sc_y2 = static_cast<int>(cart_to_screen_y(y2));
      const int sc_x  = static_cast<int>(cart_to_screen_x(x ));

      draw_.vertical_line_segment(sc_y1,sc_y2,sc_x);
   }

   void ellipse(double centerx, double centery, double a, double b)
   {

      const int sc_cx = static_cast<int>(cart_to_screen_x(centerx));
      const int sc_cy = static_cast<int>(cart_to_screen_y(centery));

      draw_.ellipse(sc_cx,sc_cy,static_cast<int>(a),static_cast<int>(b));
   }

   void circle(double centerx, double centery, double radius)
   {
      const int sc_cx = static_cast<int>(cart_to_screen_x(centerx));
      const int sc_cy = static_cast<int>(cart_to_screen_y(centery));

      draw_.circle(sc_cx,sc_cy,static_cast<int>(radius));
   }

   void fill_rectangle(double x1, double y1, double x2, double y2)
   {
      if (y1 > y2)
         std::swap(y1,y2);

      for (double y = y1; y <= y2; y += 0.5)
      {
        line_segment(x1,y,x2,y);
      }
   }

   void fill_triangle(double x1, double y1, double x2, double y2, double x3, double y3)
   {
      typedef std::pair<double,double> point_t;

      std::vector<point_t> p;

      p.push_back(std::make_pair(x1,y1));
      p.push_back(std::make_pair(x2,y2));
      p.push_back(std::make_pair(x3,y3));

      if (p[0].second > p[1].second)
         std::swap(p[0],p[1]);
      if (p[0].second > p[2].second)
         std::swap(p[0],p[2]);
      if (p[1].second > p[2].second)
         std::swap(p[1],p[2]);

      class draw_modes
      {
      private:

         cartesian_canvas& canvas;

         // Needed for incompetent and broken msvc compiler versions
         #ifdef _MSC_VER
            #pragma warning(push)
            #pragma warning(disable: 4822)
         #endif
         draw_modes& operator=(const draw_modes&);
         #ifdef _MSC_VER
            #pragma warning(pop)
         #endif

      public:

         draw_modes(cartesian_canvas& c)
         : canvas(c)
         {}

         void bottom(const point_t& p0, const point_t& p1, const point_t& p2)
         {
            double m0 = (p1.first - p0.first) / (2.0 * (p1.second - p0.second));
            double m1 = (p2.first - p0.first) / (2.0 * (p2.second - p0.second));

            double x0 = p0.first;
            double x1 = p0.first;

            for (double y = p0.second; y <= p1.second; y += 0.5)
            {
               canvas.horiztonal_line_segment(x0, x1, y);

               x0 += m0;
               x1 += m1;
            }
         }

         void top(const point_t& p0, const point_t& p1, const point_t& p2)
         {
            double m0 = (p2.first - p0.first) / (2.0 * (p2.second - p0.second));
            double m1 = (p2.first - p1.first) / (2.0 * (p2.second - p1.second));

            double x0 = p2.first;
            double x1 = p2.first;

            for (double y = p2.second; y >= p0.second; y -= 0.5)
            {
               canvas.horiztonal_line_segment(x0, x1, y);

               x0 -= m0;
               x1 -= m1;
            }
         }
      };

      draw_modes dm(*this);

      const double eps = 0.00001;

      if (std::abs(p[1].second - p[2].second) < eps)
         dm.bottom(p[0], p[1], p[2]);
      else if (std::abs(p[0].second - p[1].second) < eps)
         dm.top(p[0], p[1], p[2]);
      else
      {
         point_t p3;

         p3.first  = (p[0].first + ((p[1].second - p[0].second) / (p[2].second - p[0].second)) * (p[2].first - p[0].first));
         p3.second = p[1].second;

         dm.bottom(p[0], p[1],   p3);
         dm.top   (p[1],   p3, p[2]);
      }
   }

   void fill_quadix(double x1, double y1, double x2, double y2, double x3, double y3, double x4, double y4)
   {
      fill_triangle(x1,y1,x2,y2,x3,y3);
      fill_triangle(x1,y1,x3,y3,x4,y4);
   }

   void fill_circle(double cx, double cy, double radius)
   {
      const double delta = 1.0;
      double x = radius;
      double y = 0.0;
      double dx = delta - (2.0 * delta * radius);
      double dy = 0.0;
      double dr = 0.0;

      while (x >= y)
      {
         for (double i = cx - x; i <= cx + x; i += delta)
         {
            horiztonal_line_segment(cx - x, cx + x, cy + y);
            horiztonal_line_segment(cx - x, cx + x, cy - y);
         }

         for (double i = cx - y; i <= cx + y; i += delta)
         {
            horiztonal_line_segment(cx - y, cx + y, cy + x);
            horiztonal_line_segment(cx - y, cx + y, cy - x);
         }

         y += delta;

         dr += dy;
         dy += 2.0 * delta;

         if ((2.0 * delta * dr + dx) > 0)
         {
             x -= delta;
            dr +=  dx;
            dx += 2.0 * delta;
         }
      }
   }

   void plot_pen_pixel(double x, double y)
   {
      if ((x < min_x_) || (x > max_x_)) return;
      if ((y < min_y_) || (y > max_y_)) return;

      const int sc_x = static_cast<int>(cart_to_screen_x(x));
      const int sc_y = static_cast<int>(cart_to_screen_y(y));

      draw_.plot_pen_pixel(sc_x,sc_y);
   }

   void plot_pixel(double x, double y)
   {
      if ((x < min_x_) || (x > max_x_)) return;
      if ((y < min_y_) || (y > max_y_)) return;

      const int sc_x = static_cast<int>(cart_to_screen_x(x));
      const int sc_y = static_cast<int>(cart_to_screen_y(y));

      draw_.plot_pixel(sc_x,sc_y);
   }

   void pen_width(const unsigned int& width)
   {
      draw_.pen_width(width);
   }

   void pen_color(const unsigned char& red,
                  const unsigned char& green,
                  const unsigned char& blue)
   {
      draw_.pen_color(red,green,blue);
   }

   template <typename RGB>
   void pen_color(const RGB colour)
   {
      draw_.pen_color(colour);
   }

   const bitmap_image& image() const
   {
      return image_;
   }

   bitmap_image& image()
   {
      return image_;
   }

   void set_widthheight(const double x_length, const double y_length)
   {
      setup_canvas(x_length,y_length);
   }

   double min_x() const { return min_x_; }
   double min_y() const { return min_y_; }
   double max_x() const { return max_x_; }
   double max_y() const { return max_y_; }

private:

   void setup_canvas(const double x_length, const double y_length)
   {
      if ((x_length < 2.0) || (y_length < 2.0))
         return;

      width_div2_  = x_length / 2.0;
      height_div2_ = y_length / 2.0;

      min_x_ = -width_div2_;
      min_y_ = -height_div2_;
      max_x_ =  width_div2_;
      max_y_ =  height_div2_;

      image_.setwidth_height(static_cast<unsigned int>(x_length) + 1,static_cast<unsigned int>(y_length) + 1);

      image_.clear(0xFF);
   }

   double clamp_x(const double& x)
   {
           if (x < min_x_)  return min_x_;
      else if (x > max_x_)  return max_x_;
      else                  return x;
   }

   double clamp_y(const double& y)
   {
           if (y < min_y_)  return min_y_;
      else if (y > max_y_)  return max_y_;
      else                  return y;
   }

   double cart_to_screen_x(const double& x)
   {
      return x + width_div2_;
   }

   double cart_to_screen_y(const double& y)
   {
      return height_div2_ - y;
   }

   enum clip_code
   {
      e_clip_bottom = 1,
      e_clip_top    = 2,
      e_clip_left   = 4,
      e_clip_right  = 8
   };

   int out_code(
                 const double&  x, const double&  y,
                 const double& x1, const double& y1,
                 const double& x2, const double& y2
               )
   {
      int result = 0;
      if (y < y1)      result |= e_clip_bottom;
      else if (y > y2) result |= e_clip_top;

      if (x < x1)      result |= e_clip_left;
      else if (x > x2) result |= e_clip_right;

      return result;
   }

   bool clip(double& x1, double& y1, double& x2, double& y2)
   {
      bool   result = false;
      double x      = 0.0;
      double y      = 0.0;

      int outcode0   = out_code(x1, y1, min_x_, min_y_, max_x_, max_y_);
      int outcode1   = out_code(x2, y2, min_x_, min_y_, max_x_, max_y_);
      int outcodeout = 0;

      while ((outcode0 != 0) || (outcode1 != 0))
      {
         if ((outcode0 & outcode1) != 0)
            return result;
         else
         {
            if (outcode0 != 0)
               outcodeout = outcode0;
            else
               outcodeout = outcode1;

            double dx = (x2 - x1);
            double dy = (y2 - y1);

            if ((outcodeout & e_clip_bottom) == e_clip_bottom)
            {
               x = x1 + dx * (min_y_ - y1) / dy;
               y = min_y_;
            }
            else if ((outcodeout & e_clip_top) == e_clip_top)
            {
               x = x1 + dx * (max_y_ - y1) / dy;
               y = max_y_;
            }
            else if ((outcodeout & e_clip_right) == e_clip_right)
            {
               y = y1 + dy * (max_x_ - x1) / dx;
               x = max_x_;
            }
            else if ((outcodeout & e_clip_left) == e_clip_left)
            {
               y = y1 + dy * (min_x_ - x1) / dx;
               x = min_x_;
            }

            if (outcodeout == outcode0)
            {
               x1 = x;
               y1 = y;
               outcode0 = out_code(x1, y1, min_x_, min_y_, max_x_, max_y_);
            }
            else
            {
               x2 = x;
               y2 = y;
               outcode1 = out_code(x2, y2, min_x_, min_y_, max_x_, max_y_);
            }
         }
      }

      return true;
   }

   cartesian_canvas(const cartesian_canvas&);
   cartesian_canvas operator=(const cartesian_canvas&);

   double width_div2_;
   double height_div2_;
   double min_x_;
   double min_y_;
   double max_x_;
   double max_y_;
   bitmap_image image_;
   image_drawer draw_;
};

inline rgb_t convert_wave_length_nm_to_rgb(const double wave_length_nm)
{
   // Credits: Dan Bruton http://www.physics.sfasu.edu/astro/color.html
   double red   = 0.0;
   double green = 0.0;
   double blue  = 0.0;

   if ((380.0 <= wave_length_nm) && (wave_length_nm <= 439.0))
   {
      red   = -(wave_length_nm - 440.0) / (440.0 - 380.0);
      green = 0.0;
      blue  = 1.0;
   }
   else if ((440.0 <= wave_length_nm) && (wave_length_nm <= 489.0))
   {
      red   = 0.0;
      green = (wave_length_nm - 440.0) / (490.0 - 440.0);
      blue  = 1.0;
   }
   else if ((490.0 <= wave_length_nm) && (wave_length_nm <= 509.0))
   {
      red   = 0.0;
      green = 1.0;
      blue  = -(wave_length_nm - 510.0) / (510.0 - 490.0);
   }
   else if ((510.0 <= wave_length_nm) && (wave_length_nm <= 579.0))
   {
      red   = (wave_length_nm - 510.0) / (580.0 - 510.0);
      green = 1.0;
      blue  = 0.0;
   }
   else if ((580.0 <= wave_length_nm) && (wave_length_nm <= 644.0))
   {
      red   = 1.0;
      green = -(wave_length_nm - 645.0) / (645.0 - 580.0);
      blue  = 0.0;
   }
   else if ((645.0 <= wave_length_nm) && (wave_length_nm <= 780.0))
   {
      red   = 1.0;
      green = 0.0;
      blue  = 0.0;
   }

   double factor = 0.0;

   if ((380.0 <= wave_length_nm) && (wave_length_nm <= 419.0))
      factor = 0.3 + 0.7 * (wave_length_nm - 380.0) / (420.0 - 380.0);
   else if ((420.0 <= wave_length_nm) && (wave_length_nm <= 700.0))
      factor = 1.0;
   else if ((701.0 <= wave_length_nm) && (wave_length_nm <= 780.0))
      factor = 0.3 + 0.7 * (780.0 - wave_length_nm) / (780.0 - 700.0);
   else
      factor = 0.0;

   rgb_t result;

   const double gamma         =   0.8;
   const double intensity_max = 255.0;

   #define round(d) std::floor(d + 0.5)

   result.red   = static_cast<unsigned char>((red   == 0.0) ? red   : round(intensity_max * std::pow(red   * factor,gamma)));
   result.green = static_cast<unsigned char>((green == 0.0) ? green : round(intensity_max * std::pow(green * factor,gamma)));
   result.blue  = static_cast<unsigned char>((blue  == 0.0) ? blue  : round(intensity_max * std::pow(blue  * factor,gamma)));

   #undef round

   return result;
}

inline double weighted_distance(const unsigned char r0, const unsigned char g0, const unsigned char b0,
                                const unsigned char r1, const unsigned char g1, const unsigned char b1)
{
   const double diff_r = /*0.30 */ (r0 - r1);
   const double diff_g = /*0.59 */ (g0 - g1);
   const double diff_b = /*0.11 */ (b0 - b1);

   return std::sqrt((diff_r * diff_r) + (diff_g * diff_g) + (diff_b * diff_b));
}

inline double weighted_distance(const rgb_t c0, const rgb_t c1)
{
   return weighted_distance(c0.red, c0.green, c0.blue,
                            c1.red, c1.green, c1.blue);
}

template <typename Iterator>
inline rgb_t find_nearest_color(const rgb_t& c, const Iterator begin, const Iterator end)
{
   if (0 == std::distance(begin,end))
      return c;

   double min_d     = std::numeric_limits<double>::max();
   rgb_t result = *begin;

   for (Iterator itr = begin; itr != end; ++itr)
   {
      if (c == (*itr))
      {
         return (*itr);
      }

      double curr_d = weighted_distance(c,*itr);

      if (curr_d < min_d)
      {
         min_d = curr_d;
         result = *itr;
      }
   }

   return result;
}

template <template <typename,typename> class Sequence,
          typename Allocator>
inline rgb_t find_nearest_color(const rgb_t& c, const Sequence<rgb_t,Allocator>& seq)
{
   return find_nearest_color(c, seq.begin(),seq.end());
}

template <std::size_t N>
inline rgb_t find_nearest_color(const rgb_t& c, const rgb_t (&colors)[N])
{
   return find_nearest_color(c, colors, colors + N);
}

inline double find_nearest_wave_length(const rgb_t& c, const double increment = 0.001)
{
   const double max_wave_length = 800.0; //800nm

   double min_wave_length = 0.0;
   double min_d           = std::numeric_limits<double>::max();

   for (double i = 0.0; i < max_wave_length; i += increment)
   {
      rgb_t curr_rgb = convert_wave_length_nm_to_rgb(i);
      double    curr_d   = weighted_distance(c,curr_rgb);

      if (c == curr_rgb)
      {
         return i;
      }

      if (curr_d <= min_d)
      {
         min_wave_length = i;
         min_d = curr_d;
      }
   }

   return min_wave_length;
}

template <typename T>
class response_image
{
public:

   response_image(const std::size_t& width, const std::size_t& height, const T null = T(0))
   : width_ (width ),
     height_(height),
      null_ (null  )
   {
      data_.resize(width_ * height_);
   }

   std::size_t width () const { return  width_; }
   std::size_t height() const { return height_; }

   void set_all(const T& t)
   {
      std::fill_n(data_.begin(), data_.size(), t);
   }

   const T& operator()(const std::size_t& x, const std::size_t& y) const
   {
      if (y >= height_) return null_;
      if (x >= width_ ) return null_;
      return data_[width_ * y + x];
   }

   T& operator()(const std::size_t& x, const std::size_t& y)
   {
      if (y >= height_) return null_;
      if (x >= width_ ) return null_;
      return data_[width_ * y + x];
   }

   bool valid(const std::size_t& x, const std::size_t& y)
   {
      return ((x < width_ ) || (y < height_));
   }

   void inc_all(const T& v)
   {
      for (std::size_t i = 0; i < data_.size(); ++i)
      {
         data_[i] += v;
      }
   }

private:

   std::size_t    width_;
   std::size_t    height_;
   std::size_t    offset_x_;
   std::size_t    offset_y_;
   std::vector<T> data_;
   T              null_;
};

enum palette_name
{
  e_red,           e_scarlet,      e_vermilion,        e_tangelo,         e_orange,
  e_gamboge,       e_amber,        e_gold,             e_yellow,          e_apple_green,
  e_lime_green,    e_spring_bud,   e_chartreuse_green, e_pistachio,       e_harlequin,
  e_sap_green,     e_green,        e_emerald_green,    e_malachite_green, e_sea_green,
  e_spring_green,  e_aquamarine,   e_turquoise,        e_opal,            e_cyan,
  e_arctic_blue,   e_cerulean,     e_cornflower_blue,  e_azure,           e_cobalt_blue,
  e_sapphire_blue, e_phthalo_blue, e_blue,             e_persian_blue,    e_indigo,
  e_blue_violet,   e_violet,       e_purple,           e_mulberry,        e_heliotrope,
  e_magenta,       e_orchid,       e_fuchsia,          e_cerise,          e_rose,
  e_raspberry,     e_crimson,      e_amaranth,         e_white,           e_black
};

const rgb_t palette_colormap[] = {
   {255,   0,   0}, {255,  31,   0}, {255,  63,   0}, {255,  95,   0}, {255, 127,   0},
   {255, 159,   0}, {255, 191,   0}, {255, 223,   0}, {255, 255,   0}, {223, 255,   0},
   {191, 255,   0}, {159, 255,   0}, {127, 255,   0}, { 95, 255,   0}, { 63, 255,   0},
   { 31, 255,   0}, {  0, 255,   0}, {  0, 255,  31}, {  0, 255,  63}, {  0, 255,  95},
   {  0, 255, 127}, {  0, 255, 159}, {  0, 255, 191}, {  0, 255, 223}, {  0, 255, 255},
   {  0, 223, 255}, {  0, 191, 255}, {  0, 159, 255}, {  0, 127, 255}, {  0,  95, 255},
   {  0,  63, 255}, {  0,  31, 255}, {  0,   0, 255}, { 31,   0, 255}, { 63,   0, 255},
   { 95,   0, 255}, {127,   0, 255}, {159,   0, 255}, {191,   0, 255}, {223,   0, 255},
   {255,   0, 255}, {255,   0, 223}, {255,   0, 191}, {255,   0, 159}, {255,   0, 127},
   {255,   0,  95}, {255,   0,  63}, {255,   0,  31}, {255, 255, 255}, {  0,   0,   0}
};

const rgb_t autumn_colormap[1000] = {
   {255,   0,   0}, {255,   0,   0}, {255,   1,   0}, {255,   1,   0}, {255,   1,   0},
   {255,   1,   0}, {255,   2,   0}, {255,   2,   0}, {255,   2,   0}, {255,   2,   0},
   {255,   3,   0}, {255,   3,   0}, {255,   3,   0}, {255,   3,   0}, {255,   4,   0},
   {255,   4,   0}, {255,   4,   0}, {255,   4,   0}, {255,   5,   0}, {255,   5,   0},
   {255,   5,   0}, {255,   5,   0}, {255,   6,   0}, {255,   6,   0}, {255,   6,   0},
   {255,   6,   0}, {255,   7,   0}, {255,   7,   0}, {255,   7,   0}, {255,   7,   0},
   {255,   8,   0}, {255,   8,   0}, {255,   8,   0}, {255,   8,   0}, {255,   9,   0},
   {255,   9,   0}, {255,   9,   0}, {255,   9,   0}, {255,  10,   0}, {255,  10,   0},
   {255,  10,   0}, {255,  10,   0}, {255,  11,   0}, {255,  11,   0}, {255,  11,   0},
   {255,  11,   0}, {255,  12,   0}, {255,  12,   0}, {255,  12,   0}, {255,  13,   0},
   {255,  13,   0}, {255,  13,   0}, {255,  13,   0}, {255,  14,   0}, {255,  14,   0},
   {255,  14,   0}, {255,  14,   0}, {255,  15,   0}, {255,  15,   0}, {255,  15,   0},
   {255,  15,   0}, {255,  16,   0}, {255,  16,   0}, {255,  16,   0}, {255,  16,   0},
   {255,  17,   0}, {255,  17,   0}, {255,  17,   0}, {255,  17,   0}, {255,  18,   0},
   {255,  18,   0}, {255,  18,   0}, {255,  18,   0}, {255,  19,   0}, {255,  19,   0},
   {255,  19,   0}, {255,  19,   0}, {255,  20,   0}, {255,  20,   0}, {255,  20,   0},
   {255,  20,   0}, {255,  21,   0}, {255,  21,   0}, {255,  21,   0}, {255,  21,   0},
   {255,  22,   0}, {255,  22,   0}, {255,  22,   0}, {255,  22,   0}, {255,  23,   0},
   {255,  23,   0}, {255,  23,   0}, {255,  23,   0}, {255,  24,   0}, {255,  24,   0},
   {255,  24,   0}, {255,  25,   0}, {255,  25,   0}, {255,  25,   0}, {255,  25,   0},
   {255,  26,   0}, {255,  26,   0}, {255,  26,   0}, {255,  26,   0}, {255,  27,   0},
   {255,  27,   0}, {255,  27,   0}, {255,  27,   0}, {255,  28,   0}, {255,  28,   0},
   {255,  28,   0}, {255,  28,   0}, {255,  29,   0}, {255,  29,   0}, {255,  29,   0},
   {255,  29,   0}, {255,  30,   0}, {255,  30,   0}, {255,  30,   0}, {255,  30,   0},
   {255,  31,   0}, {255,  31,   0}, {255,  31,   0}, {255,  31,   0}, {255,  32,   0},
   {255,  32,   0}, {255,  32,   0}, {255,  32,   0}, {255,  33,   0}, {255,  33,   0},
   {255,  33,   0}, {255,  33,   0}, {255,  34,   0}, {255,  34,   0}, {255,  34,   0},
   {255,  34,   0}, {255,  35,   0}, {255,  35,   0}, {255,  35,   0}, {255,  35,   0},
   {255,  36,   0}, {255,  36,   0}, {255,  36,   0}, {255,  37,   0}, {255,  37,   0},
   {255,  37,   0}, {255,  37,   0}, {255,  38,   0}, {255,  38,   0}, {255,  38,   0},
   {255,  38,   0}, {255,  39,   0}, {255,  39,   0}, {255,  39,   0}, {255,  39,   0},
   {255,  40,   0}, {255,  40,   0}, {255,  40,   0}, {255,  40,   0}, {255,  41,   0},
   {255,  41,   0}, {255,  41,   0}, {255,  41,   0}, {255,  42,   0}, {255,  42,   0},
   {255,  42,   0}, {255,  42,   0}, {255,  43,   0}, {255,  43,   0}, {255,  43,   0},
   {255,  43,   0}, {255,  44,   0}, {255,  44,   0}, {255,  44,   0}, {255,  44,   0},
   {255,  45,   0}, {255,  45,   0}, {255,  45,   0}, {255,  45,   0}, {255,  46,   0},
   {255,  46,   0}, {255,  46,   0}, {255,  46,   0}, {255,  47,   0}, {255,  47,   0},
   {255,  47,   0}, {255,  47,   0}, {255,  48,   0}, {255,  48,   0}, {255,  48,   0},
   {255,  48,   0}, {255,  49,   0}, {255,  49,   0}, {255,  49,   0}, {255,  50,   0},
   {255,  50,   0}, {255,  50,   0}, {255,  50,   0}, {255,  51,   0}, {255,  51,   0},
   {255,  51,   0}, {255,  51,   0}, {255,  52,   0}, {255,  52,   0}, {255,  52,   0},
   {255,  52,   0}, {255,  53,   0}, {255,  53,   0}, {255,  53,   0}, {255,  53,   0},
   {255,  54,   0}, {255,  54,   0}, {255,  54,   0}, {255,  54,   0}, {255,  55,   0},
   {255,  55,   0}, {255,  55,   0}, {255,  55,   0}, {255,  56,   0}, {255,  56,   0},
   {255,  56,   0}, {255,  56,   0}, {255,  57,   0}, {255,  57,   0}, {255,  57,   0},
   {255,  57,   0}, {255,  58,   0}, {255,  58,   0}, {255,  58,   0}, {255,  58,   0},
   {255,  59,   0}, {255,  59,   0}, {255,  59,   0}, {255,  59,   0}, {255,  60,   0},
   {255,  60,   0}, {255,  60,   0}, {255,  60,   0}, {255,  61,   0}, {255,  61,   0},
   {255,  61,   0}, {255,  62,   0}, {255,  62,   0}, {255,  62,   0}, {255,  62,   0},
   {255,  63,   0}, {255,  63,   0}, {255,  63,   0}, {255,  63,   0}, {255,  64,   0},
   {255,  64,   0}, {255,  64,   0}, {255,  64,   0}, {255,  65,   0}, {255,  65,   0},
   {255,  65,   0}, {255,  65,   0}, {255,  66,   0}, {255,  66,   0}, {255,  66,   0},
   {255,  66,   0}, {255,  67,   0}, {255,  67,   0}, {255,  67,   0}, {255,  67,   0},
   {255,  68,   0}, {255,  68,   0}, {255,  68,   0}, {255,  68,   0}, {255,  69,   0},
   {255,  69,   0}, {255,  69,   0}, {255,  69,   0}, {255,  70,   0}, {255,  70,   0},
   {255,  70,   0}, {255,  70,   0}, {255,  71,   0}, {255,  71,   0}, {255,  71,   0},
   {255,  71,   0}, {255,  72,   0}, {255,  72,   0}, {255,  72,   0}, {255,  72,   0},
   {255,  73,   0}, {255,  73,   0}, {255,  73,   0}, {255,  74,   0}, {255,  74,   0},
   {255,  74,   0}, {255,  74,   0}, {255,  75,   0}, {255,  75,   0}, {255,  75,   0},
   {255,  75,   0}, {255,  76,   0}, {255,  76,   0}, {255,  76,   0}, {255,  76,   0},
   {255,  77,   0}, {255,  77,   0}, {255,  77,   0}, {255,  77,   0}, {255,  78,   0},
   {255,  78,   0}, {255,  78,   0}, {255,  78,   0}, {255,  79,   0}, {255,  79,   0},
   {255,  79,   0}, {255,  79,   0}, {255,  80,   0}, {255,  80,   0}, {255,  80,   0},
   {255,  80,   0}, {255,  81,   0}, {255,  81,   0}, {255,  81,   0}, {255,  81,   0},
   {255,  82,   0}, {255,  82,   0}, {255,  82,   0}, {255,  82,   0}, {255,  83,   0},
   {255,  83,   0}, {255,  83,   0}, {255,  83,   0}, {255,  84,   0}, {255,  84,   0},
   {255,  84,   0}, {255,  84,   0}, {255,  85,   0}, {255,  85,   0}, {255,  85,   0},
   {255,  86,   0}, {255,  86,   0}, {255,  86,   0}, {255,  86,   0}, {255,  87,   0},
   {255,  87,   0}, {255,  87,   0}, {255,  87,   0}, {255,  88,   0}, {255,  88,   0},
   {255,  88,   0}, {255,  88,   0}, {255,  89,   0}, {255,  89,   0}, {255,  89,   0},
   {255,  89,   0}, {255,  90,   0}, {255,  90,   0}, {255,  90,   0}, {255,  90,   0},
   {255,  91,   0}, {255,  91,   0}, {255,  91,   0}, {255,  91,   0}, {255,  92,   0},
   {255,  92,   0}, {255,  92,   0}, {255,  92,   0}, {255,  93,   0}, {255,  93,   0},
   {255,  93,   0}, {255,  93,   0}, {255,  94,   0}, {255,  94,   0}, {255,  94,   0},
   {255,  94,   0}, {255,  95,   0}, {255,  95,   0}, {255,  95,   0}, {255,  95,   0},
   {255,  96,   0}, {255,  96,   0}, {255,  96,   0}, {255,  96,   0}, {255,  97,   0},
   {255,  97,   0}, {255,  97,   0}, {255,  98,   0}, {255,  98,   0}, {255,  98,   0},
   {255,  98,   0}, {255,  99,   0}, {255,  99,   0}, {255,  99,   0}, {255,  99,   0},
   {255, 100,   0}, {255, 100,   0}, {255, 100,   0}, {255, 100,   0}, {255, 101,   0},
   {255, 101,   0}, {255, 101,   0}, {255, 101,   0}, {255, 102,   0}, {255, 102,   0},
   {255, 102,   0}, {255, 102,   0}, {255, 103,   0}, {255, 103,   0}, {255, 103,   0},
   {255, 103,   0}, {255, 104,   0}, {255, 104,   0}, {255, 104,   0}, {255, 104,   0},
   {255, 105,   0}, {255, 105,   0}, {255, 105,   0}, {255, 105,   0}, {255, 106,   0},
   {255, 106,   0}, {255, 106,   0}, {255, 106,   0}, {255, 107,   0}, {255, 107,   0},
   {255, 107,   0}, {255, 107,   0}, {255, 108,   0}, {255, 108,   0}, {255, 108,   0},
   {255, 108,   0}, {255, 109,   0}, {255, 109,   0}, {255, 109,   0}, {255, 110,   0},
   {255, 110,   0}, {255, 110,   0}, {255, 110,   0}, {255, 111,   0}, {255, 111,   0},
   {255, 111,   0}, {255, 111,   0}, {255, 112,   0}, {255, 112,   0}, {255, 112,   0},
   {255, 112,   0}, {255, 113,   0}, {255, 113,   0}, {255, 113,   0}, {255, 113,   0},
   {255, 114,   0}, {255, 114,   0}, {255, 114,   0}, {255, 114,   0}, {255, 115,   0},
   {255, 115,   0}, {255, 115,   0}, {255, 115,   0}, {255, 116,   0}, {255, 116,   0},
   {255, 116,   0}, {255, 116,   0}, {255, 117,   0}, {255, 117,   0}, {255, 117,   0},
   {255, 117,   0}, {255, 118,   0}, {255, 118,   0}, {255, 118,   0}, {255, 118,   0},
   {255, 119,   0}, {255, 119,   0}, {255, 119,   0}, {255, 119,   0}, {255, 120,   0},
   {255, 120,   0}, {255, 120,   0}, {255, 120,   0}, {255, 121,   0}, {255, 121,   0},
   {255, 121,   0}, {255, 122,   0}, {255, 122,   0}, {255, 122,   0}, {255, 122,   0},
   {255, 123,   0}, {255, 123,   0}, {255, 123,   0}, {255, 123,   0}, {255, 124,   0},
   {255, 124,   0}, {255, 124,   0}, {255, 124,   0}, {255, 125,   0}, {255, 125,   0},
   {255, 125,   0}, {255, 125,   0}, {255, 126,   0}, {255, 126,   0}, {255, 126,   0},
   {255, 126,   0}, {255, 127,   0}, {255, 127,   0}, {255, 127,   0}, {255, 127,   0},
   {255, 128,   0}, {255, 128,   0}, {255, 128,   0}, {255, 128,   0}, {255, 129,   0},
   {255, 129,   0}, {255, 129,   0}, {255, 129,   0}, {255, 130,   0}, {255, 130,   0},
   {255, 130,   0}, {255, 130,   0}, {255, 131,   0}, {255, 131,   0}, {255, 131,   0},
   {255, 131,   0}, {255, 132,   0}, {255, 132,   0}, {255, 132,   0}, {255, 132,   0},
   {255, 133,   0}, {255, 133,   0}, {255, 133,   0}, {255, 133,   0}, {255, 134,   0},
   {255, 134,   0}, {255, 134,   0}, {255, 135,   0}, {255, 135,   0}, {255, 135,   0},
   {255, 135,   0}, {255, 136,   0}, {255, 136,   0}, {255, 136,   0}, {255, 136,   0},
   {255, 137,   0}, {255, 137,   0}, {255, 137,   0}, {255, 137,   0}, {255, 138,   0},
   {255, 138,   0}, {255, 138,   0}, {255, 138,   0}, {255, 139,   0}, {255, 139,   0},
   {255, 139,   0}, {255, 139,   0}, {255, 140,   0}, {255, 140,   0}, {255, 140,   0},
   {255, 140,   0}, {255, 141,   0}, {255, 141,   0}, {255, 141,   0}, {255, 141,   0},
   {255, 142,   0}, {255, 142,   0}, {255, 142,   0}, {255, 142,   0}, {255, 143,   0},
   {255, 143,   0}, {255, 143,   0}, {255, 143,   0}, {255, 144,   0}, {255, 144,   0},
   {255, 144,   0}, {255, 144,   0}, {255, 145,   0}, {255, 145,   0}, {255, 145,   0},
   {255, 145,   0}, {255, 146,   0}, {255, 146,   0}, {255, 146,   0}, {255, 147,   0},
   {255, 147,   0}, {255, 147,   0}, {255, 147,   0}, {255, 148,   0}, {255, 148,   0},
   {255, 148,   0}, {255, 148,   0}, {255, 149,   0}, {255, 149,   0}, {255, 149,   0},
   {255, 149,   0}, {255, 150,   0}, {255, 150,   0}, {255, 150,   0}, {255, 150,   0},
   {255, 151,   0}, {255, 151,   0}, {255, 151,   0}, {255, 151,   0}, {255, 152,   0},
   {255, 152,   0}, {255, 152,   0}, {255, 152,   0}, {255, 153,   0}, {255, 153,   0},
   {255, 153,   0}, {255, 153,   0}, {255, 154,   0}, {255, 154,   0}, {255, 154,   0},
   {255, 154,   0}, {255, 155,   0}, {255, 155,   0}, {255, 155,   0}, {255, 155,   0},
   {255, 156,   0}, {255, 156,   0}, {255, 156,   0}, {255, 156,   0}, {255, 157,   0},
   {255, 157,   0}, {255, 157,   0}, {255, 157,   0}, {255, 158,   0}, {255, 158,   0},
   {255, 158,   0}, {255, 159,   0}, {255, 159,   0}, {255, 159,   0}, {255, 159,   0},
   {255, 160,   0}, {255, 160,   0}, {255, 160,   0}, {255, 160,   0}, {255, 161,   0},
   {255, 161,   0}, {255, 161,   0}, {255, 161,   0}, {255, 162,   0}, {255, 162,   0},
   {255, 162,   0}, {255, 162,   0}, {255, 163,   0}, {255, 163,   0}, {255, 163,   0},
   {255, 163,   0}, {255, 164,   0}, {255, 164,   0}, {255, 164,   0}, {255, 164,   0},
   {255, 165,   0}, {255, 165,   0}, {255, 165,   0}, {255, 165,   0}, {255, 166,   0},
   {255, 166,   0}, {255, 166,   0}, {255, 166,   0}, {255, 167,   0}, {255, 167,   0},
   {255, 167,   0}, {255, 167,   0}, {255, 168,   0}, {255, 168,   0}, {255, 168,   0},
   {255, 168,   0}, {255, 169,   0}, {255, 169,   0}, {255, 169,   0}, {255, 169,   0},
   {255, 170,   0}, {255, 170,   0}, {255, 170,   0}, {255, 171,   0}, {255, 171,   0},
   {255, 171,   0}, {255, 171,   0}, {255, 172,   0}, {255, 172,   0}, {255, 172,   0},
   {255, 172,   0}, {255, 173,   0}, {255, 173,   0}, {255, 173,   0}, {255, 173,   0},
   {255, 174,   0}, {255, 174,   0}, {255, 174,   0}, {255, 174,   0}, {255, 175,   0},
   {255, 175,   0}, {255, 175,   0}, {255, 175,   0}, {255, 176,   0}, {255, 176,   0},
   {255, 176,   0}, {255, 176,   0}, {255, 177,   0}, {255, 177,   0}, {255, 177,   0},
   {255, 177,   0}, {255, 178,   0}, {255, 178,   0}, {255, 178,   0}, {255, 178,   0},
   {255, 179,   0}, {255, 179,   0}, {255, 179,   0}, {255, 179,   0}, {255, 180,   0},
   {255, 180,   0}, {255, 180,   0}, {255, 180,   0}, {255, 181,   0}, {255, 181,   0},
   {255, 181,   0}, {255, 181,   0}, {255, 182,   0}, {255, 182,   0}, {255, 182,   0},
   {255, 183,   0}, {255, 183,   0}, {255, 183,   0}, {255, 183,   0}, {255, 184,   0},
   {255, 184,   0}, {255, 184,   0}, {255, 184,   0}, {255, 185,   0}, {255, 185,   0},
   {255, 185,   0}, {255, 185,   0}, {255, 186,   0}, {255, 186,   0}, {255, 186,   0},
   {255, 186,   0}, {255, 187,   0}, {255, 187,   0}, {255, 187,   0}, {255, 187,   0},
   {255, 188,   0}, {255, 188,   0}, {255, 188,   0}, {255, 188,   0}, {255, 189,   0},
   {255, 189,   0}, {255, 189,   0}, {255, 189,   0}, {255, 190,   0}, {255, 190,   0},
   {255, 190,   0}, {255, 190,   0}, {255, 191,   0}, {255, 191,   0}, {255, 191,   0},
   {255, 191,   0}, {255, 192,   0}, {255, 192,   0}, {255, 192,   0}, {255, 192,   0},
   {255, 193,   0}, {255, 193,   0}, {255, 193,   0}, {255, 193,   0}, {255, 194,   0},
   {255, 194,   0}, {255, 194,   0}, {255, 195,   0}, {255, 195,   0}, {255, 195,   0},
   {255, 195,   0}, {255, 196,   0}, {255, 196,   0}, {255, 196,   0}, {255, 196,   0},
   {255, 197,   0}, {255, 197,   0}, {255, 197,   0}, {255, 197,   0}, {255, 198,   0},
   {255, 198,   0}, {255, 198,   0}, {255, 198,   0}, {255, 199,   0}, {255, 199,   0},
   {255, 199,   0}, {255, 199,   0}, {255, 200,   0}, {255, 200,   0}, {255, 200,   0},
   {255, 200,   0}, {255, 201,   0}, {255, 201,   0}, {255, 201,   0}, {255, 201,   0},
   {255, 202,   0}, {255, 202,   0}, {255, 202,   0}, {255, 202,   0}, {255, 203,   0},
   {255, 203,   0}, {255, 203,   0}, {255, 203,   0}, {255, 204,   0}, {255, 204,   0},
   {255, 204,   0}, {255, 204,   0}, {255, 205,   0}, {255, 205,   0}, {255, 205,   0},
   {255, 205,   0}, {255, 206,   0}, {255, 206,   0}, {255, 206,   0}, {255, 207,   0},
   {255, 207,   0}, {255, 207,   0}, {255, 207,   0}, {255, 208,   0}, {255, 208,   0},
   {255, 208,   0}, {255, 208,   0}, {255, 209,   0}, {255, 209,   0}, {255, 209,   0},
   {255, 209,   0}, {255, 210,   0}, {255, 210,   0}, {255, 210,   0}, {255, 210,   0},
   {255, 211,   0}, {255, 211,   0}, {255, 211,   0}, {255, 211,   0}, {255, 212,   0},
   {255, 212,   0}, {255, 212,   0}, {255, 212,   0}, {255, 213,   0}, {255, 213,   0},
   {255, 213,   0}, {255, 213,   0}, {255, 214,   0}, {255, 214,   0}, {255, 214,   0},
   {255, 214,   0}, {255, 215,   0}, {255, 215,   0}, {255, 215,   0}, {255, 215,   0},
   {255, 216,   0}, {255, 216,   0}, {255, 216,   0}, {255, 216,   0}, {255, 217,   0},
   {255, 217,   0}, {255, 217,   0}, {255, 217,   0}, {255, 218,   0}, {255, 218,   0},
   {255, 218,   0}, {255, 218,   0}, {255, 219,   0}, {255, 219,   0}, {255, 219,   0},
   {255, 220,   0}, {255, 220,   0}, {255, 220,   0}, {255, 220,   0}, {255, 221,   0},
   {255, 221,   0}, {255, 221,   0}, {255, 221,   0}, {255, 222,   0}, {255, 222,   0},
   {255, 222,   0}, {255, 222,   0}, {255, 223,   0}, {255, 223,   0}, {255, 223,   0},
   {255, 223,   0}, {255, 224,   0}, {255, 224,   0}, {255, 224,   0}, {255, 224,   0},
   {255, 225,   0}, {255, 225,   0}, {255, 225,   0}, {255, 225,   0}, {255, 226,   0},
   {255, 226,   0}, {255, 226,   0}, {255, 226,   0}, {255, 227,   0}, {255, 227,   0},
   {255, 227,   0}, {255, 227,   0}, {255, 228,   0}, {255, 228,   0}, {255, 228,   0},
   {255, 228,   0}, {255, 229,   0}, {255, 229,   0}, {255, 229,   0}, {255, 229,   0},
   {255, 230,   0}, {255, 230,   0}, {255, 230,   0}, {255, 230,   0}, {255, 231,   0},
   {255, 231,   0}, {255, 231,   0}, {255, 232,   0}, {255, 232,   0}, {255, 232,   0},
   {255, 232,   0}, {255, 233,   0}, {255, 233,   0}, {255, 233,   0}, {255, 233,   0},
   {255, 234,   0}, {255, 234,   0}, {255, 234,   0}, {255, 234,   0}, {255, 235,   0},
   {255, 235,   0}, {255, 235,   0}, {255, 235,   0}, {255, 236,   0}, {255, 236,   0},
   {255, 236,   0}, {255, 236,   0}, {255, 237,   0}, {255, 237,   0}, {255, 237,   0},
   {255, 237,   0}, {255, 238,   0}, {255, 238,   0}, {255, 238,   0}, {255, 238,   0},
   {255, 239,   0}, {255, 239,   0}, {255, 239,   0}, {255, 239,   0}, {255, 240,   0},
   {255, 240,   0}, {255, 240,   0}, {255, 240,   0}, {255, 241,   0}, {255, 241,   0},
   {255, 241,   0}, {255, 241,   0}, {255, 242,   0}, {255, 242,   0}, {255, 242,   0},
   {255, 242,   0}, {255, 243,   0}, {255, 243,   0}, {255, 243,   0}, {255, 244,   0},
   {255, 244,   0}, {255, 244,   0}, {255, 244,   0}, {255, 245,   0}, {255, 245,   0},
   {255, 245,   0}, {255, 245,   0}, {255, 246,   0}, {255, 246,   0}, {255, 246,   0},
   {255, 246,   0}, {255, 247,   0}, {255, 247,   0}, {255, 247,   0}, {255, 247,   0},
   {255, 248,   0}, {255, 248,   0}, {255, 248,   0}, {255, 248,   0}, {255, 249,   0},
   {255, 249,   0}, {255, 249,   0}, {255, 249,   0}, {255, 250,   0}, {255, 250,   0},
   {255, 250,   0}, {255, 250,   0}, {255, 251,   0}, {255, 251,   0}, {255, 251,   0},
   {255, 251,   0}, {255, 252,   0}, {255, 252,   0}, {255, 252,   0}, {255, 252,   0},
   {255, 253,   0}, {255, 253,   0}, {255, 253,   0}, {255, 253,   0}, {255, 254,   0},
   {255, 254,   0}, {255, 254,   0}, {255, 254,   0}, {255, 255,   0}, {255, 255,   0}
};

const rgb_t copper_colormap[1000] = {
   {  0,   0,   0}, {  0,   0,   0}, {  1,   0,   0}, {  1,   1,   0}, {  1,   1,   1},
   {  2,   1,   1}, {  2,   1,   1}, {  2,   1,   1}, {  3,   2,   1}, {  3,   2,   1},
   {  3,   2,   1}, {  4,   2,   1}, {  4,   2,   2}, {  4,   3,   2}, {  4,   3,   2},
   {  5,   3,   2}, {  5,   3,   2}, {  5,   3,   2}, {  6,   4,   2}, {  6,   4,   2},
   {  6,   4,   3}, {  7,   4,   3}, {  7,   4,   3}, {  7,   5,   3}, {  8,   5,   3},
   {  8,   5,   3}, {  8,   5,   3}, {  9,   5,   3}, {  9,   6,   4}, {  9,   6,   4},
   { 10,   6,   4}, { 10,   6,   4}, { 10,   6,   4}, { 11,   7,   4}, { 11,   7,   4},
   { 11,   7,   4}, { 11,   7,   5}, { 12,   7,   5}, { 12,   8,   5}, { 12,   8,   5},
   { 13,   8,   5}, { 13,   8,   5}, { 13,   8,   5}, { 14,   9,   5}, { 14,   9,   6},
   { 14,   9,   6}, { 15,   9,   6}, { 15,   9,   6}, { 15,  10,   6}, { 16,  10,   6},
   { 16,  10,   6}, { 16,  10,   6}, { 17,  10,   7}, { 17,  11,   7}, { 17,  11,   7},
   { 18,  11,   7}, { 18,  11,   7}, { 18,  11,   7}, { 19,  12,   7}, { 19,  12,   7},
   { 19,  12,   8}, { 19,  12,   8}, { 20,  12,   8}, { 20,  13,   8}, { 20,  13,   8},
   { 21,  13,   8}, { 21,  13,   8}, { 21,  13,   9}, { 22,  14,   9}, { 22,  14,   9},
   { 22,  14,   9}, { 23,  14,   9}, { 23,  14,   9}, { 23,  15,   9}, { 24,  15,   9},
   { 24,  15,  10}, { 24,  15,  10}, { 25,  15,  10}, { 25,  16,  10}, { 25,  16,  10},
   { 26,  16,  10}, { 26,  16,  10}, { 26,  16,  10}, { 26,  17,  11}, { 27,  17,  11},
   { 27,  17,  11}, { 27,  17,  11}, { 28,  17,  11}, { 28,  18,  11}, { 28,  18,  11},
   { 29,  18,  11}, { 29,  18,  12}, { 29,  18,  12}, { 30,  19,  12}, { 30,  19,  12},
   { 30,  19,  12}, { 31,  19,  12}, { 31,  19,  12}, { 31,  20,  12}, { 32,  20,  13},
   { 32,  20,  13}, { 32,  20,  13}, { 33,  20,  13}, { 33,  21,  13}, { 33,  21,  13},
   { 34,  21,  13}, { 34,  21,  13}, { 34,  21,  14}, { 34,  22,  14}, { 35,  22,  14},
   { 35,  22,  14}, { 35,  22,  14}, { 36,  22,  14}, { 36,  23,  14}, { 36,  23,  14},
   { 37,  23,  15}, { 37,  23,  15}, { 37,  23,  15}, { 38,  24,  15}, { 38,  24,  15},
   { 38,  24,  15}, { 39,  24,  15}, { 39,  24,  15}, { 39,  25,  16}, { 40,  25,  16},
   { 40,  25,  16}, { 40,  25,  16}, { 41,  25,  16}, { 41,  26,  16}, { 41,  26,  16},
   { 41,  26,  17}, { 42,  26,  17}, { 42,  26,  17}, { 42,  27,  17}, { 43,  27,  17},
   { 43,  27,  17}, { 43,  27,  17}, { 44,  27,  17}, { 44,  28,  18}, { 44,  28,  18},
   { 45,  28,  18}, { 45,  28,  18}, { 45,  28,  18}, { 46,  29,  18}, { 46,  29,  18},
   { 46,  29,  18}, { 47,  29,  19}, { 47,  29,  19}, { 47,  30,  19}, { 48,  30,  19},
   { 48,  30,  19}, { 48,  30,  19}, { 48,  30,  19}, { 49,  31,  19}, { 49,  31,  20},
   { 49,  31,  20}, { 50,  31,  20}, { 50,  31,  20}, { 50,  32,  20}, { 51,  32,  20},
   { 51,  32,  20}, { 51,  32,  20}, { 52,  32,  21}, { 52,  33,  21}, { 52,  33,  21},
   { 53,  33,  21}, { 53,  33,  21}, { 53,  33,  21}, { 54,  34,  21}, { 54,  34,  21},
   { 54,  34,  22}, { 55,  34,  22}, { 55,  34,  22}, { 55,  34,  22}, { 56,  35,  22},
   { 56,  35,  22}, { 56,  35,  22}, { 56,  35,  22}, { 57,  35,  23}, { 57,  36,  23},
   { 57,  36,  23}, { 58,  36,  23}, { 58,  36,  23}, { 58,  36,  23}, { 59,  37,  23},
   { 59,  37,  23}, { 59,  37,  24}, { 60,  37,  24}, { 60,  37,  24}, { 60,  38,  24},
   { 61,  38,  24}, { 61,  38,  24}, { 61,  38,  24}, { 62,  38,  25}, { 62,  39,  25},
   { 62,  39,  25}, { 63,  39,  25}, { 63,  39,  25}, { 63,  39,  25}, { 63,  40,  25},
   { 64,  40,  25}, { 64,  40,  26}, { 64,  40,  26}, { 65,  40,  26}, { 65,  41,  26},
   { 65,  41,  26}, { 66,  41,  26}, { 66,  41,  26}, { 66,  41,  26}, { 67,  42,  27},
   { 67,  42,  27}, { 67,  42,  27}, { 68,  42,  27}, { 68,  42,  27}, { 68,  43,  27},
   { 69,  43,  27}, { 69,  43,  27}, { 69,  43,  28}, { 70,  43,  28}, { 70,  44,  28},
   { 70,  44,  28}, { 71,  44,  28}, { 71,  44,  28}, { 71,  44,  28}, { 71,  45,  28},
   { 72,  45,  29}, { 72,  45,  29}, { 72,  45,  29}, { 73,  45,  29}, { 73,  46,  29},
   { 73,  46,  29}, { 74,  46,  29}, { 74,  46,  29}, { 74,  46,  30}, { 75,  47,  30},
   { 75,  47,  30}, { 75,  47,  30}, { 76,  47,  30}, { 76,  47,  30}, { 76,  48,  30},
   { 77,  48,  30}, { 77,  48,  31}, { 77,  48,  31}, { 78,  48,  31}, { 78,  49,  31},
   { 78,  49,  31}, { 78,  49,  31}, { 79,  49,  31}, { 79,  49,  31}, { 79,  50,  32},
   { 80,  50,  32}, { 80,  50,  32}, { 80,  50,  32}, { 81,  50,  32}, { 81,  51,  32},
   { 81,  51,  32}, { 82,  51,  33}, { 82,  51,  33}, { 82,  51,  33}, { 83,  52,  33},
   { 83,  52,  33}, { 83,  52,  33}, { 84,  52,  33}, { 84,  52,  33}, { 84,  53,  34},
   { 85,  53,  34}, { 85,  53,  34}, { 85,  53,  34}, { 86,  53,  34}, { 86,  54,  34},
   { 86,  54,  34}, { 86,  54,  34}, { 87,  54,  35}, { 87,  54,  35}, { 87,  55,  35},
   { 88,  55,  35}, { 88,  55,  35}, { 88,  55,  35}, { 89,  55,  35}, { 89,  56,  35},
   { 89,  56,  36}, { 90,  56,  36}, { 90,  56,  36}, { 90,  56,  36}, { 91,  57,  36},
   { 91,  57,  36}, { 91,  57,  36}, { 92,  57,  36}, { 92,  57,  37}, { 92,  58,  37},
   { 93,  58,  37}, { 93,  58,  37}, { 93,  58,  37}, { 93,  58,  37}, { 94,  59,  37},
   { 94,  59,  37}, { 94,  59,  38}, { 95,  59,  38}, { 95,  59,  38}, { 95,  60,  38},
   { 96,  60,  38}, { 96,  60,  38}, { 96,  60,  38}, { 97,  60,  38}, { 97,  61,  39},
   { 97,  61,  39}, { 98,  61,  39}, { 98,  61,  39}, { 98,  61,  39}, { 99,  62,  39},
   { 99,  62,  39}, { 99,  62,  39}, {100,  62,  40}, {100,  62,  40}, {100,  63,  40},
   {101,  63,  40}, {101,  63,  40}, {101,  63,  40}, {101,  63,  40}, {102,  64,  41},
   {102,  64,  41}, {102,  64,  41}, {103,  64,  41}, {103,  64,  41}, {103,  65,  41},
   {104,  65,  41}, {104,  65,  41}, {104,  65,  42}, {105,  65,  42}, {105,  66,  42},
   {105,  66,  42}, {106,  66,  42}, {106,  66,  42}, {106,  66,  42}, {107,  67,  42},
   {107,  67,  43}, {107,  67,  43}, {108,  67,  43}, {108,  67,  43}, {108,  68,  43},
   {108,  68,  43}, {109,  68,  43}, {109,  68,  43}, {109,  68,  44}, {110,  69,  44},
   {110,  69,  44}, {110,  69,  44}, {111,  69,  44}, {111,  69,  44}, {111,  70,  44},
   {112,  70,  44}, {112,  70,  45}, {112,  70,  45}, {113,  70,  45}, {113,  71,  45},
   {113,  71,  45}, {114,  71,  45}, {114,  71,  45}, {114,  71,  45}, {115,  72,  46},
   {115,  72,  46}, {115,  72,  46}, {116,  72,  46}, {116,  72,  46}, {116,  73,  46},
   {116,  73,  46}, {117,  73,  46}, {117,  73,  47}, {117,  73,  47}, {118,  74,  47},
   {118,  74,  47}, {118,  74,  47}, {119,  74,  47}, {119,  74,  47}, {119,  75,  47},
   {120,  75,  48}, {120,  75,  48}, {120,  75,  48}, {121,  75,  48}, {121,  76,  48},
   {121,  76,  48}, {122,  76,  48}, {122,  76,  49}, {122,  76,  49}, {123,  77,  49},
   {123,  77,  49}, {123,  77,  49}, {123,  77,  49}, {124,  77,  49}, {124,  78,  49},
   {124,  78,  50}, {125,  78,  50}, {125,  78,  50}, {125,  78,  50}, {126,  79,  50},
   {126,  79,  50}, {126,  79,  50}, {127,  79,  50}, {127,  79,  51}, {127,  80,  51},
   {128,  80,  51}, {128,  80,  51}, {128,  80,  51}, {129,  80,  51}, {129,  81,  51},
   {129,  81,  51}, {130,  81,  52}, {130,  81,  52}, {130,  81,  52}, {130,  82,  52},
   {131,  82,  52}, {131,  82,  52}, {131,  82,  52}, {132,  82,  52}, {132,  83,  53},
   {132,  83,  53}, {133,  83,  53}, {133,  83,  53}, {133,  83,  53}, {134,  84,  53},
   {134,  84,  53}, {134,  84,  53}, {135,  84,  54}, {135,  84,  54}, {135,  85,  54},
   {136,  85,  54}, {136,  85,  54}, {136,  85,  54}, {137,  85,  54}, {137,  86,  54},
   {137,  86,  55}, {138,  86,  55}, {138,  86,  55}, {138,  86,  55}, {138,  87,  55},
   {139,  87,  55}, {139,  87,  55}, {139,  87,  55}, {140,  87,  56}, {140,  88,  56},
   {140,  88,  56}, {141,  88,  56}, {141,  88,  56}, {141,  88,  56}, {142,  89,  56},
   {142,  89,  57}, {142,  89,  57}, {143,  89,  57}, {143,  89,  57}, {143,  90,  57},
   {144,  90,  57}, {144,  90,  57}, {144,  90,  57}, {145,  90,  58}, {145,  91,  58},
   {145,  91,  58}, {145,  91,  58}, {146,  91,  58}, {146,  91,  58}, {146,  92,  58},
   {147,  92,  58}, {147,  92,  59}, {147,  92,  59}, {148,  92,  59}, {148,  93,  59},
   {148,  93,  59}, {149,  93,  59}, {149,  93,  59}, {149,  93,  59}, {150,  94,  60},
   {150,  94,  60}, {150,  94,  60}, {151,  94,  60}, {151,  94,  60}, {151,  95,  60},
   {152,  95,  60}, {152,  95,  60}, {152,  95,  61}, {153,  95,  61}, {153,  96,  61},
   {153,  96,  61}, {153,  96,  61}, {154,  96,  61}, {154,  96,  61}, {154,  97,  61},
   {155,  97,  62}, {155,  97,  62}, {155,  97,  62}, {156,  97,  62}, {156,  98,  62},
   {156,  98,  62}, {157,  98,  62}, {157,  98,  62}, {157,  98,  63}, {158,  99,  63},
   {158,  99,  63}, {158,  99,  63}, {159,  99,  63}, {159,  99,  63}, {159, 100,  63},
   {160, 100,  63}, {160, 100,  64}, {160, 100,  64}, {160, 100,  64}, {161, 101,  64},
   {161, 101,  64}, {161, 101,  64}, {162, 101,  64}, {162, 101,  65}, {162, 101,  65},
   {163, 102,  65}, {163, 102,  65}, {163, 102,  65}, {164, 102,  65}, {164, 102,  65},
   {164, 103,  65}, {165, 103,  66}, {165, 103,  66}, {165, 103,  66}, {166, 103,  66},
   {166, 104,  66}, {166, 104,  66}, {167, 104,  66}, {167, 104,  66}, {167, 104,  67},
   {168, 105,  67}, {168, 105,  67}, {168, 105,  67}, {168, 105,  67}, {169, 105,  67},
   {169, 106,  67}, {169, 106,  67}, {170, 106,  68}, {170, 106,  68}, {170, 106,  68},
   {171, 107,  68}, {171, 107,  68}, {171, 107,  68}, {172, 107,  68}, {172, 107,  68},
   {172, 108,  69}, {173, 108,  69}, {173, 108,  69}, {173, 108,  69}, {174, 108,  69},
   {174, 109,  69}, {174, 109,  69}, {175, 109,  69}, {175, 109,  70}, {175, 109,  70},
   {175, 110,  70}, {176, 110,  70}, {176, 110,  70}, {176, 110,  70}, {177, 110,  70},
   {177, 111,  70}, {177, 111,  71}, {178, 111,  71}, {178, 111,  71}, {178, 111,  71},
   {179, 112,  71}, {179, 112,  71}, {179, 112,  71}, {180, 112,  71}, {180, 112,  72},
   {180, 113,  72}, {181, 113,  72}, {181, 113,  72}, {181, 113,  72}, {182, 113,  72},
   {182, 114,  72}, {182, 114,  73}, {183, 114,  73}, {183, 114,  73}, {183, 114,  73},
   {183, 115,  73}, {184, 115,  73}, {184, 115,  73}, {184, 115,  73}, {185, 115,  74},
   {185, 116,  74}, {185, 116,  74}, {186, 116,  74}, {186, 116,  74}, {186, 116,  74},
   {187, 117,  74}, {187, 117,  74}, {187, 117,  75}, {188, 117,  75}, {188, 117,  75},
   {188, 118,  75}, {189, 118,  75}, {189, 118,  75}, {189, 118,  75}, {190, 118,  75},
   {190, 119,  76}, {190, 119,  76}, {190, 119,  76}, {191, 119,  76}, {191, 119,  76},
   {191, 120,  76}, {192, 120,  76}, {192, 120,  76}, {192, 120,  77}, {193, 120,  77},
   {193, 121,  77}, {193, 121,  77}, {194, 121,  77}, {194, 121,  77}, {194, 121,  77},
   {195, 122,  77}, {195, 122,  78}, {195, 122,  78}, {196, 122,  78}, {196, 122,  78},
   {196, 123,  78}, {197, 123,  78}, {197, 123,  78}, {197, 123,  78}, {198, 123,  79},
   {198, 124,  79}, {198, 124,  79}, {198, 124,  79}, {199, 124,  79}, {199, 124,  79},
   {199, 125,  79}, {200, 125,  79}, {200, 125,  80}, {200, 125,  80}, {201, 125,  80},
   {201, 126,  80}, {201, 126,  80}, {202, 126,  80}, {202, 126,  80}, {202, 126,  81},
   {203, 127,  81}, {203, 127,  81}, {203, 127,  81}, {204, 127,  81}, {204, 127,  81},
   {204, 128,  81}, {205, 128,  81}, {205, 128,  82}, {205, 128,  82}, {205, 128,  82},
   {206, 129,  82}, {206, 129,  82}, {206, 129,  82}, {207, 129,  82}, {207, 129,  82},
   {207, 130,  83}, {208, 130,  83}, {208, 130,  83}, {208, 130,  83}, {209, 130,  83},
   {209, 131,  83}, {209, 131,  83}, {210, 131,  83}, {210, 131,  84}, {210, 131,  84},
   {211, 132,  84}, {211, 132,  84}, {211, 132,  84}, {212, 132,  84}, {212, 132,  84},
   {212, 133,  84}, {212, 133,  85}, {213, 133,  85}, {213, 133,  85}, {213, 133,  85},
   {214, 134,  85}, {214, 134,  85}, {214, 134,  85}, {215, 134,  85}, {215, 134,  86},
   {215, 135,  86}, {216, 135,  86}, {216, 135,  86}, {216, 135,  86}, {217, 135,  86},
   {217, 136,  86}, {217, 136,  86}, {218, 136,  87}, {218, 136,  87}, {218, 136,  87},
   {219, 137,  87}, {219, 137,  87}, {219, 137,  87}, {220, 137,  87}, {220, 137,  87},
   {220, 138,  88}, {220, 138,  88}, {221, 138,  88}, {221, 138,  88}, {221, 138,  88},
   {222, 139,  88}, {222, 139,  88}, {222, 139,  89}, {223, 139,  89}, {223, 139,  89},
   {223, 140,  89}, {224, 140,  89}, {224, 140,  89}, {224, 140,  89}, {225, 140,  89},
   {225, 141,  90}, {225, 141,  90}, {226, 141,  90}, {226, 141,  90}, {226, 141,  90},
   {227, 142,  90}, {227, 142,  90}, {227, 142,  90}, {227, 142,  91}, {228, 142,  91},
   {228, 143,  91}, {228, 143,  91}, {229, 143,  91}, {229, 143,  91}, {229, 143,  91},
   {230, 144,  91}, {230, 144,  92}, {230, 144,  92}, {231, 144,  92}, {231, 144,  92},
   {231, 145,  92}, {232, 145,  92}, {232, 145,  92}, {232, 145,  92}, {233, 145,  93},
   {233, 146,  93}, {233, 146,  93}, {234, 146,  93}, {234, 146,  93}, {234, 146,  93},
   {235, 147,  93}, {235, 147,  93}, {235, 147,  94}, {235, 147,  94}, {236, 147,  94},
   {236, 148,  94}, {236, 148,  94}, {237, 148,  94}, {237, 148,  94}, {237, 148,  94},
   {238, 149,  95}, {238, 149,  95}, {238, 149,  95}, {239, 149,  95}, {239, 149,  95},
   {239, 150,  95}, {240, 150,  95}, {240, 150,  95}, {240, 150,  96}, {241, 150,  96},
   {241, 151,  96}, {241, 151,  96}, {242, 151,  96}, {242, 151,  96}, {242, 151,  96},
   {242, 152,  97}, {243, 152,  97}, {243, 152,  97}, {243, 152,  97}, {244, 152,  97},
   {244, 153,  97}, {244, 153,  97}, {245, 153,  97}, {245, 153,  98}, {245, 153,  98},
   {246, 154,  98}, {246, 154,  98}, {246, 154,  98}, {247, 154,  98}, {247, 154,  98},
   {247, 155,  98}, {248, 155,  99}, {248, 155,  99}, {248, 155,  99}, {249, 155,  99},
   {249, 156,  99}, {249, 156,  99}, {250, 156,  99}, {250, 156,  99}, {250, 156, 100},
   {250, 157, 100}, {251, 157, 100}, {251, 157, 100}, {251, 157, 100}, {252, 157, 100},
   {252, 158, 100}, {252, 158, 100}, {253, 158, 101}, {253, 158, 101}, {253, 158, 101},
   {253, 159, 101}, {253, 159, 101}, {254, 159, 101}, {254, 159, 101}, {254, 159, 101},
   {254, 160, 102}, {254, 160, 102}, {254, 160, 102}, {254, 160, 102}, {254, 160, 102},
   {255, 161, 102}, {255, 161, 102}, {255, 161, 102}, {255, 161, 103}, {255, 161, 103},
   {255, 162, 103}, {255, 162, 103}, {255, 162, 103}, {255, 162, 103}, {255, 162, 103},
   {255, 163, 103}, {255, 163, 104}, {255, 163, 104}, {255, 163, 104}, {255, 163, 104},
   {255, 164, 104}, {255, 164, 104}, {255, 164, 104}, {255, 164, 105}, {255, 164, 105},
   {255, 165, 105}, {255, 165, 105}, {255, 165, 105}, {255, 165, 105}, {255, 165, 105},
   {255, 166, 105}, {255, 166, 106}, {255, 166, 106}, {255, 166, 106}, {255, 166, 106},
   {255, 167, 106}, {255, 167, 106}, {255, 167, 106}, {255, 167, 106}, {255, 167, 107},
   {255, 168, 107}, {255, 168, 107}, {255, 168, 107}, {255, 168, 107}, {255, 168, 107},
   {255, 168, 107}, {255, 169, 107}, {255, 169, 108}, {255, 169, 108}, {255, 169, 108},
   {255, 169, 108}, {255, 170, 108}, {255, 170, 108}, {255, 170, 108}, {255, 170, 108},
   {255, 170, 109}, {255, 171, 109}, {255, 171, 109}, {255, 171, 109}, {255, 171, 109},
   {255, 171, 109}, {255, 172, 109}, {255, 172, 109}, {255, 172, 110}, {255, 172, 110},
   {255, 172, 110}, {255, 173, 110}, {255, 173, 110}, {255, 173, 110}, {255, 173, 110},
   {255, 173, 110}, {255, 174, 111}, {255, 174, 111}, {255, 174, 111}, {255, 174, 111},
   {255, 174, 111}, {255, 175, 111}, {255, 175, 111}, {255, 175, 111}, {255, 175, 112},
   {255, 175, 112}, {255, 176, 112}, {255, 176, 112}, {255, 176, 112}, {255, 176, 112},
   {255, 176, 112}, {255, 177, 113}, {255, 177, 113}, {255, 177, 113}, {255, 177, 113},
   {255, 177, 113}, {255, 178, 113}, {255, 178, 113}, {255, 178, 113}, {255, 178, 114},
   {255, 178, 114}, {255, 179, 114}, {255, 179, 114}, {255, 179, 114}, {255, 179, 114},
   {255, 179, 114}, {255, 180, 114}, {255, 180, 115}, {255, 180, 115}, {255, 180, 115},
   {255, 180, 115}, {255, 181, 115}, {255, 181, 115}, {255, 181, 115}, {255, 181, 115},
   {255, 181, 116}, {255, 182, 116}, {255, 182, 116}, {255, 182, 116}, {255, 182, 116},
   {255, 182, 116}, {255, 183, 116}, {255, 183, 116}, {255, 183, 117}, {255, 183, 117},
   {255, 183, 117}, {255, 184, 117}, {255, 184, 117}, {255, 184, 117}, {255, 184, 117},
   {255, 184, 117}, {255, 185, 118}, {255, 185, 118}, {255, 185, 118}, {255, 185, 118},
   {255, 185, 118}, {255, 186, 118}, {255, 186, 118}, {255, 186, 118}, {255, 186, 119},
   {255, 186, 119}, {255, 187, 119}, {255, 187, 119}, {255, 187, 119}, {255, 187, 119},
   {255, 187, 119}, {255, 188, 119}, {255, 188, 120}, {255, 188, 120}, {255, 188, 120},
   {255, 188, 120}, {255, 189, 120}, {255, 189, 120}, {255, 189, 120}, {255, 189, 121},
   {255, 189, 121}, {255, 190, 121}, {255, 190, 121}, {255, 190, 121}, {255, 190, 121},
   {255, 190, 121}, {255, 191, 121}, {255, 191, 122}, {255, 191, 122}, {255, 191, 122},
   {255, 191, 122}, {255, 192, 122}, {255, 192, 122}, {255, 192, 122}, {255, 192, 122},
   {255, 192, 123}, {255, 193, 123}, {255, 193, 123}, {255, 193, 123}, {255, 193, 123},
   {255, 193, 123}, {255, 194, 123}, {255, 194, 123}, {255, 194, 124}, {255, 194, 124},
   {255, 194, 124}, {255, 195, 124}, {255, 195, 124}, {255, 195, 124}, {255, 195, 124},
   {255, 195, 124}, {255, 196, 125}, {255, 196, 125}, {255, 196, 125}, {255, 196, 125},
   {255, 196, 125}, {255, 197, 125}, {255, 197, 125}, {255, 197, 125}, {255, 197, 126},
   {255, 197, 126}, {255, 198, 126}, {255, 198, 126}, {255, 198, 126}, {255, 198, 126},
   {255, 198, 126}, {255, 199, 126}, {255, 199, 127}, {255, 199, 127}, {255, 199, 127}
};

const rgb_t gray_colormap[1000] = {
   {255, 255, 255}, {255, 255, 255}, {254, 254, 254}, {254, 254, 254}, {254, 254, 254},
   {254, 254, 254}, {253, 253, 253}, {253, 253, 253}, {253, 253, 253}, {253, 253, 253},
   {252, 252, 252}, {252, 252, 252}, {252, 252, 252}, {252, 252, 252}, {251, 251, 251},
   {251, 251, 251}, {251, 251, 251}, {251, 251, 251}, {250, 250, 250}, {250, 250, 250},
   {250, 250, 250}, {250, 250, 250}, {249, 249, 249}, {249, 249, 249}, {249, 249, 249},
   {249, 249, 249}, {248, 248, 248}, {248, 248, 248}, {248, 248, 248}, {248, 248, 248},
   {247, 247, 247}, {247, 247, 247}, {247, 247, 247}, {247, 247, 247}, {246, 246, 246},
   {246, 246, 246}, {246, 246, 246}, {246, 246, 246}, {245, 245, 245}, {245, 245, 245},
   {245, 245, 245}, {245, 245, 245}, {244, 244, 244}, {244, 244, 244}, {244, 244, 244},
   {244, 244, 244}, {243, 243, 243}, {243, 243, 243}, {243, 243, 243}, {242, 242, 242},
   {242, 242, 242}, {242, 242, 242}, {242, 242, 242}, {241, 241, 241}, {241, 241, 241},
   {241, 241, 241}, {241, 241, 241}, {240, 240, 240}, {240, 240, 240}, {240, 240, 240},
   {240, 240, 240}, {239, 239, 239}, {239, 239, 239}, {239, 239, 239}, {239, 239, 239},
   {238, 238, 238}, {238, 238, 238}, {238, 238, 238}, {238, 238, 238}, {237, 237, 237},
   {237, 237, 237}, {237, 237, 237}, {237, 237, 237}, {236, 236, 236}, {236, 236, 236},
   {236, 236, 236}, {236, 236, 236}, {235, 235, 235}, {235, 235, 235}, {235, 235, 235},
   {235, 235, 235}, {234, 234, 234}, {234, 234, 234}, {234, 234, 234}, {234, 234, 234},
   {233, 233, 233}, {233, 233, 233}, {233, 233, 233}, {233, 233, 233}, {232, 232, 232},
   {232, 232, 232}, {232, 232, 232}, {232, 232, 232}, {231, 231, 231}, {231, 231, 231},
   {231, 231, 231}, {230, 230, 230}, {230, 230, 230}, {230, 230, 230}, {230, 230, 230},
   {229, 229, 229}, {229, 229, 229}, {229, 229, 229}, {229, 229, 229}, {228, 228, 228},
   {228, 228, 228}, {228, 228, 228}, {228, 228, 228}, {227, 227, 227}, {227, 227, 227},
   {227, 227, 227}, {227, 227, 227}, {226, 226, 226}, {226, 226, 226}, {226, 226, 226},
   {226, 226, 226}, {225, 225, 225}, {225, 225, 225}, {225, 225, 225}, {225, 225, 225},
   {224, 224, 224}, {224, 224, 224}, {224, 224, 224}, {224, 224, 224}, {223, 223, 223},
   {223, 223, 223}, {223, 223, 223}, {223, 223, 223}, {222, 222, 222}, {222, 222, 222},
   {222, 222, 222}, {222, 222, 222}, {221, 221, 221}, {221, 221, 221}, {221, 221, 221},
   {221, 221, 221}, {220, 220, 220}, {220, 220, 220}, {220, 220, 220}, {220, 220, 220},
   {219, 219, 219}, {219, 219, 219}, {219, 219, 219}, {218, 218, 218}, {218, 218, 218},
   {218, 218, 218}, {218, 218, 218}, {217, 217, 217}, {217, 217, 217}, {217, 217, 217},
   {217, 217, 217}, {216, 216, 216}, {216, 216, 216}, {216, 216, 216}, {216, 216, 216},
   {215, 215, 215}, {215, 215, 215}, {215, 215, 215}, {215, 215, 215}, {214, 214, 214},
   {214, 214, 214}, {214, 214, 214}, {214, 214, 214}, {213, 213, 213}, {213, 213, 213},
   {213, 213, 213}, {213, 213, 213}, {212, 212, 212}, {212, 212, 212}, {212, 212, 212},
   {212, 212, 212}, {211, 211, 211}, {211, 211, 211}, {211, 211, 211}, {211, 211, 211},
   {210, 210, 210}, {210, 210, 210}, {210, 210, 210}, {210, 210, 210}, {209, 209, 209},
   {209, 209, 209}, {209, 209, 209}, {209, 209, 209}, {208, 208, 208}, {208, 208, 208},
   {208, 208, 208}, {208, 208, 208}, {207, 207, 207}, {207, 207, 207}, {207, 207, 207},
   {207, 207, 207}, {206, 206, 206}, {206, 206, 206}, {206, 206, 206}, {205, 205, 205},
   {205, 205, 205}, {205, 205, 205}, {205, 205, 205}, {204, 204, 204}, {204, 204, 204},
   {204, 204, 204}, {204, 204, 204}, {203, 203, 203}, {203, 203, 203}, {203, 203, 203},
   {203, 203, 203}, {202, 202, 202}, {202, 202, 202}, {202, 202, 202}, {202, 202, 202},
   {201, 201, 201}, {201, 201, 201}, {201, 201, 201}, {201, 201, 201}, {200, 200, 200},
   {200, 200, 200}, {200, 200, 200}, {200, 200, 200}, {199, 199, 199}, {199, 199, 199},
   {199, 199, 199}, {199, 199, 199}, {198, 198, 198}, {198, 198, 198}, {198, 198, 198},
   {198, 198, 198}, {197, 197, 197}, {197, 197, 197}, {197, 197, 197}, {197, 197, 197},
   {196, 196, 196}, {196, 196, 196}, {196, 196, 196}, {196, 196, 196}, {195, 195, 195},
   {195, 195, 195}, {195, 195, 195}, {195, 195, 195}, {194, 194, 194}, {194, 194, 194},
   {194, 194, 194}, {193, 193, 193}, {193, 193, 193}, {193, 193, 193}, {193, 193, 193},
   {192, 192, 192}, {192, 192, 192}, {192, 192, 192}, {192, 192, 192}, {191, 191, 191},
   {191, 191, 191}, {191, 191, 191}, {191, 191, 191}, {190, 190, 190}, {190, 190, 190},
   {190, 190, 190}, {190, 190, 190}, {189, 189, 189}, {189, 189, 189}, {189, 189, 189},
   {189, 189, 189}, {188, 188, 188}, {188, 188, 188}, {188, 188, 188}, {188, 188, 188},
   {187, 187, 187}, {187, 187, 187}, {187, 187, 187}, {187, 187, 187}, {186, 186, 186},
   {186, 186, 186}, {186, 186, 186}, {186, 186, 186}, {185, 185, 185}, {185, 185, 185},
   {185, 185, 185}, {185, 185, 185}, {184, 184, 184}, {184, 184, 184}, {184, 184, 184},
   {184, 184, 184}, {183, 183, 183}, {183, 183, 183}, {183, 183, 183}, {183, 183, 183},
   {182, 182, 182}, {182, 182, 182}, {182, 182, 182}, {181, 181, 181}, {181, 181, 181},
   {181, 181, 181}, {181, 181, 181}, {180, 180, 180}, {180, 180, 180}, {180, 180, 180},
   {180, 180, 180}, {179, 179, 179}, {179, 179, 179}, {179, 179, 179}, {179, 179, 179},
   {178, 178, 178}, {178, 178, 178}, {178, 178, 178}, {178, 178, 178}, {177, 177, 177},
   {177, 177, 177}, {177, 177, 177}, {177, 177, 177}, {176, 176, 176}, {176, 176, 176},
   {176, 176, 176}, {176, 176, 176}, {175, 175, 175}, {175, 175, 175}, {175, 175, 175},
   {175, 175, 175}, {174, 174, 174}, {174, 174, 174}, {174, 174, 174}, {174, 174, 174},
   {173, 173, 173}, {173, 173, 173}, {173, 173, 173}, {173, 173, 173}, {172, 172, 172},
   {172, 172, 172}, {172, 172, 172}, {172, 172, 172}, {171, 171, 171}, {171, 171, 171},
   {171, 171, 171}, {171, 171, 171}, {170, 170, 170}, {170, 170, 170}, {170, 170, 170},
   {169, 169, 169}, {169, 169, 169}, {169, 169, 169}, {169, 169, 169}, {168, 168, 168},
   {168, 168, 168}, {168, 168, 168}, {168, 168, 168}, {167, 167, 167}, {167, 167, 167},
   {167, 167, 167}, {167, 167, 167}, {166, 166, 166}, {166, 166, 166}, {166, 166, 166},
   {166, 166, 166}, {165, 165, 165}, {165, 165, 165}, {165, 165, 165}, {165, 165, 165},
   {164, 164, 164}, {164, 164, 164}, {164, 164, 164}, {164, 164, 164}, {163, 163, 163},
   {163, 163, 163}, {163, 163, 163}, {163, 163, 163}, {162, 162, 162}, {162, 162, 162},
   {162, 162, 162}, {162, 162, 162}, {161, 161, 161}, {161, 161, 161}, {161, 161, 161},
   {161, 161, 161}, {160, 160, 160}, {160, 160, 160}, {160, 160, 160}, {160, 160, 160},
   {159, 159, 159}, {159, 159, 159}, {159, 159, 159}, {159, 159, 159}, {158, 158, 158},
   {158, 158, 158}, {158, 158, 158}, {157, 157, 157}, {157, 157, 157}, {157, 157, 157},
   {157, 157, 157}, {156, 156, 156}, {156, 156, 156}, {156, 156, 156}, {156, 156, 156},
   {155, 155, 155}, {155, 155, 155}, {155, 155, 155}, {155, 155, 155}, {154, 154, 154},
   {154, 154, 154}, {154, 154, 154}, {154, 154, 154}, {153, 153, 153}, {153, 153, 153},
   {153, 153, 153}, {153, 153, 153}, {152, 152, 152}, {152, 152, 152}, {152, 152, 152},
   {152, 152, 152}, {151, 151, 151}, {151, 151, 151}, {151, 151, 151}, {151, 151, 151},
   {150, 150, 150}, {150, 150, 150}, {150, 150, 150}, {150, 150, 150}, {149, 149, 149},
   {149, 149, 149}, {149, 149, 149}, {149, 149, 149}, {148, 148, 148}, {148, 148, 148},
   {148, 148, 148}, {148, 148, 148}, {147, 147, 147}, {147, 147, 147}, {147, 147, 147},
   {147, 147, 147}, {146, 146, 146}, {146, 146, 146}, {146, 146, 146}, {145, 145, 145},
   {145, 145, 145}, {145, 145, 145}, {145, 145, 145}, {144, 144, 144}, {144, 144, 144},
   {144, 144, 144}, {144, 144, 144}, {143, 143, 143}, {143, 143, 143}, {143, 143, 143},
   {143, 143, 143}, {142, 142, 142}, {142, 142, 142}, {142, 142, 142}, {142, 142, 142},
   {141, 141, 141}, {141, 141, 141}, {141, 141, 141}, {141, 141, 141}, {140, 140, 140},
   {140, 140, 140}, {140, 140, 140}, {140, 140, 140}, {139, 139, 139}, {139, 139, 139},
   {139, 139, 139}, {139, 139, 139}, {138, 138, 138}, {138, 138, 138}, {138, 138, 138},
   {138, 138, 138}, {137, 137, 137}, {137, 137, 137}, {137, 137, 137}, {137, 137, 137},
   {136, 136, 136}, {136, 136, 136}, {136, 136, 136}, {136, 136, 136}, {135, 135, 135},
   {135, 135, 135}, {135, 135, 135}, {135, 135, 135}, {134, 134, 134}, {134, 134, 134},
   {134, 134, 134}, {133, 133, 133}, {133, 133, 133}, {133, 133, 133}, {133, 133, 133},
   {132, 132, 132}, {132, 132, 132}, {132, 132, 132}, {132, 132, 132}, {131, 131, 131},
   {131, 131, 131}, {131, 131, 131}, {131, 131, 131}, {130, 130, 130}, {130, 130, 130},
   {130, 130, 130}, {130, 130, 130}, {129, 129, 129}, {129, 129, 129}, {129, 129, 129},
   {129, 129, 129}, {128, 128, 128}, {128, 128, 128}, {128, 128, 128}, {128, 128, 128},
   {127, 127, 127}, {127, 127, 127}, {127, 127, 127}, {127, 127, 127}, {126, 126, 126},
   {126, 126, 126}, {126, 126, 126}, {126, 126, 126}, {125, 125, 125}, {125, 125, 125},
   {125, 125, 125}, {125, 125, 125}, {124, 124, 124}, {124, 124, 124}, {124, 124, 124},
   {124, 124, 124}, {123, 123, 123}, {123, 123, 123}, {123, 123, 123}, {123, 123, 123},
   {122, 122, 122}, {122, 122, 122}, {122, 122, 122}, {122, 122, 122}, {121, 121, 121},
   {121, 121, 121}, {121, 121, 121}, {120, 120, 120}, {120, 120, 120}, {120, 120, 120},
   {120, 120, 120}, {119, 119, 119}, {119, 119, 119}, {119, 119, 119}, {119, 119, 119},
   {118, 118, 118}, {118, 118, 118}, {118, 118, 118}, {118, 118, 118}, {117, 117, 117},
   {117, 117, 117}, {117, 117, 117}, {117, 117, 117}, {116, 116, 116}, {116, 116, 116},
   {116, 116, 116}, {116, 116, 116}, {115, 115, 115}, {115, 115, 115}, {115, 115, 115},
   {115, 115, 115}, {114, 114, 114}, {114, 114, 114}, {114, 114, 114}, {114, 114, 114},
   {113, 113, 113}, {113, 113, 113}, {113, 113, 113}, {113, 113, 113}, {112, 112, 112},
   {112, 112, 112}, {112, 112, 112}, {112, 112, 112}, {111, 111, 111}, {111, 111, 111},
   {111, 111, 111}, {111, 111, 111}, {110, 110, 110}, {110, 110, 110}, {110, 110, 110},
   {110, 110, 110}, {109, 109, 109}, {109, 109, 109}, {109, 109, 109}, {108, 108, 108},
   {108, 108, 108}, {108, 108, 108}, {108, 108, 108}, {107, 107, 107}, {107, 107, 107},
   {107, 107, 107}, {107, 107, 107}, {106, 106, 106}, {106, 106, 106}, {106, 106, 106},
   {106, 106, 106}, {105, 105, 105}, {105, 105, 105}, {105, 105, 105}, {105, 105, 105},
   {104, 104, 104}, {104, 104, 104}, {104, 104, 104}, {104, 104, 104}, {103, 103, 103},
   {103, 103, 103}, {103, 103, 103}, {103, 103, 103}, {102, 102, 102}, {102, 102, 102},
   {102, 102, 102}, {102, 102, 102}, {101, 101, 101}, {101, 101, 101}, {101, 101, 101},
   {101, 101, 101}, {100, 100, 100}, {100, 100, 100}, {100, 100, 100}, {100, 100, 100},
   { 99,  99,  99}, { 99,  99,  99}, { 99,  99,  99}, { 99,  99,  99}, { 98,  98,  98},
   { 98,  98,  98}, { 98,  98,  98}, { 98,  98,  98}, { 97,  97,  97}, { 97,  97,  97},
   { 97,  97,  97}, { 96,  96,  96}, { 96,  96,  96}, { 96,  96,  96}, { 96,  96,  96},
   { 95,  95,  95}, { 95,  95,  95}, { 95,  95,  95}, { 95,  95,  95}, { 94,  94,  94},
   { 94,  94,  94}, { 94,  94,  94}, { 94,  94,  94}, { 93,  93,  93}, { 93,  93,  93},
   { 93,  93,  93}, { 93,  93,  93}, { 92,  92,  92}, { 92,  92,  92}, { 92,  92,  92},
   { 92,  92,  92}, { 91,  91,  91}, { 91,  91,  91}, { 91,  91,  91}, { 91,  91,  91},
   { 90,  90,  90}, { 90,  90,  90}, { 90,  90,  90}, { 90,  90,  90}, { 89,  89,  89},
   { 89,  89,  89}, { 89,  89,  89}, { 89,  89,  89}, { 88,  88,  88}, { 88,  88,  88},
   { 88,  88,  88}, { 88,  88,  88}, { 87,  87,  87}, { 87,  87,  87}, { 87,  87,  87},
   { 87,  87,  87}, { 86,  86,  86}, { 86,  86,  86}, { 86,  86,  86}, { 86,  86,  86},
   { 85,  85,  85}, { 85,  85,  85}, { 85,  85,  85}, { 84,  84,  84}, { 84,  84,  84},
   { 84,  84,  84}, { 84,  84,  84}, { 83,  83,  83}, { 83,  83,  83}, { 83,  83,  83},
   { 83,  83,  83}, { 82,  82,  82}, { 82,  82,  82}, { 82,  82,  82}, { 82,  82,  82},
   { 81,  81,  81}, { 81,  81,  81}, { 81,  81,  81}, { 81,  81,  81}, { 80,  80,  80},
   { 80,  80,  80}, { 80,  80,  80}, { 80,  80,  80}, { 79,  79,  79}, { 79,  79,  79},
   { 79,  79,  79}, { 79,  79,  79}, { 78,  78,  78}, { 78,  78,  78}, { 78,  78,  78},
   { 78,  78,  78}, { 77,  77,  77}, { 77,  77,  77}, { 77,  77,  77}, { 77,  77,  77},
   { 76,  76,  76}, { 76,  76,  76}, { 76,  76,  76}, { 76,  76,  76}, { 75,  75,  75},
   { 75,  75,  75}, { 75,  75,  75}, { 75,  75,  75}, { 74,  74,  74}, { 74,  74,  74},
   { 74,  74,  74}, { 74,  74,  74}, { 73,  73,  73}, { 73,  73,  73}, { 73,  73,  73},
   { 72,  72,  72}, { 72,  72,  72}, { 72,  72,  72}, { 72,  72,  72}, { 71,  71,  71},
   { 71,  71,  71}, { 71,  71,  71}, { 71,  71,  71}, { 70,  70,  70}, { 70,  70,  70},
   { 70,  70,  70}, { 70,  70,  70}, { 69,  69,  69}, { 69,  69,  69}, { 69,  69,  69},
   { 69,  69,  69}, { 68,  68,  68}, { 68,  68,  68}, { 68,  68,  68}, { 68,  68,  68},
   { 67,  67,  67}, { 67,  67,  67}, { 67,  67,  67}, { 67,  67,  67}, { 66,  66,  66},
   { 66,  66,  66}, { 66,  66,  66}, { 66,  66,  66}, { 65,  65,  65}, { 65,  65,  65},
   { 65,  65,  65}, { 65,  65,  65}, { 64,  64,  64}, { 64,  64,  64}, { 64,  64,  64},
   { 64,  64,  64}, { 63,  63,  63}, { 63,  63,  63}, { 63,  63,  63}, { 63,  63,  63},
   { 62,  62,  62}, { 62,  62,  62}, { 62,  62,  62}, { 62,  62,  62}, { 61,  61,  61},
   { 61,  61,  61}, { 61,  61,  61}, { 60,  60,  60}, { 60,  60,  60}, { 60,  60,  60},
   { 60,  60,  60}, { 59,  59,  59}, { 59,  59,  59}, { 59,  59,  59}, { 59,  59,  59},
   { 58,  58,  58}, { 58,  58,  58}, { 58,  58,  58}, { 58,  58,  58}, { 57,  57,  57},
   { 57,  57,  57}, { 57,  57,  57}, { 57,  57,  57}, { 56,  56,  56}, { 56,  56,  56},
   { 56,  56,  56}, { 56,  56,  56}, { 55,  55,  55}, { 55,  55,  55}, { 55,  55,  55},
   { 55,  55,  55}, { 54,  54,  54}, { 54,  54,  54}, { 54,  54,  54}, { 54,  54,  54},
   { 53,  53,  53}, { 53,  53,  53}, { 53,  53,  53}, { 53,  53,  53}, { 52,  52,  52},
   { 52,  52,  52}, { 52,  52,  52}, { 52,  52,  52}, { 51,  51,  51}, { 51,  51,  51},
   { 51,  51,  51}, { 51,  51,  51}, { 50,  50,  50}, { 50,  50,  50}, { 50,  50,  50},
   { 50,  50,  50}, { 49,  49,  49}, { 49,  49,  49}, { 49,  49,  49}, { 48,  48,  48},
   { 48,  48,  48}, { 48,  48,  48}, { 48,  48,  48}, { 47,  47,  47}, { 47,  47,  47},
   { 47,  47,  47}, { 47,  47,  47}, { 46,  46,  46}, { 46,  46,  46}, { 46,  46,  46},
   { 46,  46,  46}, { 45,  45,  45}, { 45,  45,  45}, { 45,  45,  45}, { 45,  45,  45},
   { 44,  44,  44}, { 44,  44,  44}, { 44,  44,  44}, { 44,  44,  44}, { 43,  43,  43},
   { 43,  43,  43}, { 43,  43,  43}, { 43,  43,  43}, { 42,  42,  42}, { 42,  42,  42},
   { 42,  42,  42}, { 42,  42,  42}, { 41,  41,  41}, { 41,  41,  41}, { 41,  41,  41},
   { 41,  41,  41}, { 40,  40,  40}, { 40,  40,  40}, { 40,  40,  40}, { 40,  40,  40},
   { 39,  39,  39}, { 39,  39,  39}, { 39,  39,  39}, { 39,  39,  39}, { 38,  38,  38},
   { 38,  38,  38}, { 38,  38,  38}, { 38,  38,  38}, { 37,  37,  37}, { 37,  37,  37},
   { 37,  37,  37}, { 37,  37,  37}, { 36,  36,  36}, { 36,  36,  36}, { 36,  36,  36},
   { 35,  35,  35}, { 35,  35,  35}, { 35,  35,  35}, { 35,  35,  35}, { 34,  34,  34},
   { 34,  34,  34}, { 34,  34,  34}, { 34,  34,  34}, { 33,  33,  33}, { 33,  33,  33},
   { 33,  33,  33}, { 33,  33,  33}, { 32,  32,  32}, { 32,  32,  32}, { 32,  32,  32},
   { 32,  32,  32}, { 31,  31,  31}, { 31,  31,  31}, { 31,  31,  31}, { 31,  31,  31},
   { 30,  30,  30}, { 30,  30,  30}, { 30,  30,  30}, { 30,  30,  30}, { 29,  29,  29},
   { 29,  29,  29}, { 29,  29,  29}, { 29,  29,  29}, { 28,  28,  28}, { 28,  28,  28},
   { 28,  28,  28}, { 28,  28,  28}, { 27,  27,  27}, { 27,  27,  27}, { 27,  27,  27},
   { 27,  27,  27}, { 26,  26,  26}, { 26,  26,  26}, { 26,  26,  26}, { 26,  26,  26},
   { 25,  25,  25}, { 25,  25,  25}, { 25,  25,  25}, { 25,  25,  25}, { 24,  24,  24},
   { 24,  24,  24}, { 24,  24,  24}, { 23,  23,  23}, { 23,  23,  23}, { 23,  23,  23},
   { 23,  23,  23}, { 22,  22,  22}, { 22,  22,  22}, { 22,  22,  22}, { 22,  22,  22},
   { 21,  21,  21}, { 21,  21,  21}, { 21,  21,  21}, { 21,  21,  21}, { 20,  20,  20},
   { 20,  20,  20}, { 20,  20,  20}, { 20,  20,  20}, { 19,  19,  19}, { 19,  19,  19},
   { 19,  19,  19}, { 19,  19,  19}, { 18,  18,  18}, { 18,  18,  18}, { 18,  18,  18},
   { 18,  18,  18}, { 17,  17,  17}, { 17,  17,  17}, { 17,  17,  17}, { 17,  17,  17},
   { 16,  16,  16}, { 16,  16,  16}, { 16,  16,  16}, { 16,  16,  16}, { 15,  15,  15},
   { 15,  15,  15}, { 15,  15,  15}, { 15,  15,  15}, { 14,  14,  14}, { 14,  14,  14},
   { 14,  14,  14}, { 14,  14,  14}, { 13,  13,  13}, { 13,  13,  13}, { 13,  13,  13},
   { 13,  13,  13}, { 12,  12,  12}, { 12,  12,  12}, { 12,  12,  12}, { 11,  11,  11},
   { 11,  11,  11}, { 11,  11,  11}, { 11,  11,  11}, { 10,  10,  10}, { 10,  10,  10},
   { 10,  10,  10}, { 10,  10,  10}, {  9,   9,   9}, {  9,   9,   9}, {  9,   9,   9},
   {  9,   9,   9}, {  8,   8,   8}, {  8,   8,   8}, {  8,   8,   8}, {  8,   8,   8},
   {  7,   7,   7}, {  7,   7,   7}, {  7,   7,   7}, {  7,   7,   7}, {  6,   6,   6},
   {  6,   6,   6}, {  6,   6,   6}, {  6,   6,   6}, {  5,   5,   5}, {  5,   5,   5},
   {  5,   5,   5}, {  5,   5,   5}, {  4,   4,   4}, {  4,   4,   4}, {  4,   4,   4},
   {  4,   4,   4}, {  3,   3,   3}, {  3,   3,   3}, {  3,   3,   3}, {  3,   3,   3},
   {  2,   2,   2}, {  2,   2,   2}, {  2,   2,   2}, {  2,   2,   2}, {  1,   1,   1},
   {  1,   1,   1}, {  1,   1,   1}, {  1,   1,   1}, {  0,   0,   0}, {  0,   0,   0}
};

const rgb_t hot_colormap[1000] = {
   { 11,   0,   0}, { 11,   0,   0}, { 12,   0,   0}, { 13,   0,   0}, { 13,   0,   0},
   { 14,   0,   0}, { 15,   0,   0}, { 15,   0,   0}, { 16,   0,   0}, { 17,   0,   0},
   { 17,   0,   0}, { 18,   0,   0}, { 19,   0,   0}, { 19,   0,   0}, { 20,   0,   0},
   { 21,   0,   0}, { 21,   0,   0}, { 22,   0,   0}, { 23,   0,   0}, { 23,   0,   0},
   { 24,   0,   0}, { 25,   0,   0}, { 25,   0,   0}, { 26,   0,   0}, { 27,   0,   0},
   { 27,   0,   0}, { 28,   0,   0}, { 29,   0,   0}, { 29,   0,   0}, { 30,   0,   0},
   { 31,   0,   0}, { 31,   0,   0}, { 32,   0,   0}, { 33,   0,   0}, { 33,   0,   0},
   { 34,   0,   0}, { 35,   0,   0}, { 35,   0,   0}, { 36,   0,   0}, { 37,   0,   0},
   { 37,   0,   0}, { 38,   0,   0}, { 39,   0,   0}, { 39,   0,   0}, { 40,   0,   0},
   { 41,   0,   0}, { 41,   0,   0}, { 42,   0,   0}, { 43,   0,   0}, { 43,   0,   0},
   { 44,   0,   0}, { 45,   0,   0}, { 45,   0,   0}, { 46,   0,   0}, { 47,   0,   0},
   { 47,   0,   0}, { 48,   0,   0}, { 49,   0,   0}, { 49,   0,   0}, { 50,   0,   0},
   { 51,   0,   0}, { 51,   0,   0}, { 52,   0,   0}, { 53,   0,   0}, { 54,   0,   0},
   { 54,   0,   0}, { 55,   0,   0}, { 56,   0,   0}, { 56,   0,   0}, { 57,   0,   0},
   { 58,   0,   0}, { 58,   0,   0}, { 59,   0,   0}, { 60,   0,   0}, { 60,   0,   0},
   { 61,   0,   0}, { 62,   0,   0}, { 62,   0,   0}, { 63,   0,   0}, { 64,   0,   0},
   { 64,   0,   0}, { 65,   0,   0}, { 66,   0,   0}, { 66,   0,   0}, { 67,   0,   0},
   { 68,   0,   0}, { 68,   0,   0}, { 69,   0,   0}, { 70,   0,   0}, { 70,   0,   0},
   { 71,   0,   0}, { 72,   0,   0}, { 72,   0,   0}, { 73,   0,   0}, { 74,   0,   0},
   { 74,   0,   0}, { 75,   0,   0}, { 76,   0,   0}, { 76,   0,   0}, { 77,   0,   0},
   { 78,   0,   0}, { 78,   0,   0}, { 79,   0,   0}, { 80,   0,   0}, { 80,   0,   0},
   { 81,   0,   0}, { 82,   0,   0}, { 82,   0,   0}, { 83,   0,   0}, { 84,   0,   0},
   { 84,   0,   0}, { 85,   0,   0}, { 86,   0,   0}, { 86,   0,   0}, { 87,   0,   0},
   { 88,   0,   0}, { 88,   0,   0}, { 89,   0,   0}, { 90,   0,   0}, { 90,   0,   0},
   { 91,   0,   0}, { 92,   0,   0}, { 92,   0,   0}, { 93,   0,   0}, { 94,   0,   0},
   { 94,   0,   0}, { 95,   0,   0}, { 96,   0,   0}, { 96,   0,   0}, { 97,   0,   0},
   { 98,   0,   0}, { 98,   0,   0}, { 99,   0,   0}, {100,   0,   0}, {100,   0,   0},
   {101,   0,   0}, {102,   0,   0}, {102,   0,   0}, {103,   0,   0}, {104,   0,   0},
   {104,   0,   0}, {105,   0,   0}, {106,   0,   0}, {106,   0,   0}, {107,   0,   0},
   {108,   0,   0}, {108,   0,   0}, {109,   0,   0}, {110,   0,   0}, {110,   0,   0},
   {111,   0,   0}, {112,   0,   0}, {112,   0,   0}, {113,   0,   0}, {114,   0,   0},
   {114,   0,   0}, {115,   0,   0}, {116,   0,   0}, {116,   0,   0}, {117,   0,   0},
   {118,   0,   0}, {119,   0,   0}, {119,   0,   0}, {120,   0,   0}, {121,   0,   0},
   {121,   0,   0}, {122,   0,   0}, {123,   0,   0}, {123,   0,   0}, {124,   0,   0},
   {125,   0,   0}, {125,   0,   0}, {126,   0,   0}, {127,   0,   0}, {127,   0,   0},
   {128,   0,   0}, {129,   0,   0}, {129,   0,   0}, {130,   0,   0}, {131,   0,   0},
   {131,   0,   0}, {132,   0,   0}, {133,   0,   0}, {133,   0,   0}, {134,   0,   0},
   {135,   0,   0}, {135,   0,   0}, {136,   0,   0}, {137,   0,   0}, {137,   0,   0},
   {138,   0,   0}, {139,   0,   0}, {139,   0,   0}, {140,   0,   0}, {141,   0,   0},
   {141,   0,   0}, {142,   0,   0}, {143,   0,   0}, {143,   0,   0}, {144,   0,   0},
   {145,   0,   0}, {145,   0,   0}, {146,   0,   0}, {147,   0,   0}, {147,   0,   0},
   {148,   0,   0}, {149,   0,   0}, {149,   0,   0}, {150,   0,   0}, {151,   0,   0},
   {151,   0,   0}, {152,   0,   0}, {153,   0,   0}, {153,   0,   0}, {154,   0,   0},
   {155,   0,   0}, {155,   0,   0}, {156,   0,   0}, {157,   0,   0}, {157,   0,   0},
   {158,   0,   0}, {159,   0,   0}, {159,   0,   0}, {160,   0,   0}, {161,   0,   0},
   {161,   0,   0}, {162,   0,   0}, {163,   0,   0}, {163,   0,   0}, {164,   0,   0},
   {165,   0,   0}, {165,   0,   0}, {166,   0,   0}, {167,   0,   0}, {167,   0,   0},
   {168,   0,   0}, {169,   0,   0}, {169,   0,   0}, {170,   0,   0}, {171,   0,   0},
   {171,   0,   0}, {172,   0,   0}, {173,   0,   0}, {173,   0,   0}, {174,   0,   0},
   {175,   0,   0}, {175,   0,   0}, {176,   0,   0}, {177,   0,   0}, {177,   0,   0},
   {178,   0,   0}, {179,   0,   0}, {179,   0,   0}, {180,   0,   0}, {181,   0,   0},
   {181,   0,   0}, {182,   0,   0}, {183,   0,   0}, {183,   0,   0}, {184,   0,   0},
   {185,   0,   0}, {186,   0,   0}, {186,   0,   0}, {187,   0,   0}, {188,   0,   0},
   {188,   0,   0}, {189,   0,   0}, {190,   0,   0}, {190,   0,   0}, {191,   0,   0},
   {192,   0,   0}, {192,   0,   0}, {193,   0,   0}, {194,   0,   0}, {194,   0,   0},
   {195,   0,   0}, {196,   0,   0}, {196,   0,   0}, {197,   0,   0}, {198,   0,   0},
   {198,   0,   0}, {199,   0,   0}, {200,   0,   0}, {200,   0,   0}, {201,   0,   0},
   {202,   0,   0}, {202,   0,   0}, {203,   0,   0}, {204,   0,   0}, {204,   0,   0},
   {205,   0,   0}, {206,   0,   0}, {206,   0,   0}, {207,   0,   0}, {208,   0,   0},
   {208,   0,   0}, {209,   0,   0}, {210,   0,   0}, {210,   0,   0}, {211,   0,   0},
   {212,   0,   0}, {212,   0,   0}, {213,   0,   0}, {214,   0,   0}, {214,   0,   0},
   {215,   0,   0}, {216,   0,   0}, {216,   0,   0}, {217,   0,   0}, {218,   0,   0},
   {218,   0,   0}, {219,   0,   0}, {220,   0,   0}, {220,   0,   0}, {221,   0,   0},
   {222,   0,   0}, {222,   0,   0}, {223,   0,   0}, {224,   0,   0}, {224,   0,   0},
   {225,   0,   0}, {226,   0,   0}, {226,   0,   0}, {227,   0,   0}, {228,   0,   0},
   {228,   0,   0}, {229,   0,   0}, {230,   0,   0}, {230,   0,   0}, {231,   0,   0},
   {232,   0,   0}, {232,   0,   0}, {233,   0,   0}, {234,   0,   0}, {234,   0,   0},
   {235,   0,   0}, {236,   0,   0}, {236,   0,   0}, {237,   0,   0}, {238,   0,   0},
   {238,   0,   0}, {239,   0,   0}, {240,   0,   0}, {240,   0,   0}, {241,   0,   0},
   {242,   0,   0}, {242,   0,   0}, {243,   0,   0}, {244,   0,   0}, {244,   0,   0},
   {245,   0,   0}, {246,   0,   0}, {246,   0,   0}, {247,   0,   0}, {248,   0,   0},
   {248,   0,   0}, {249,   0,   0}, {250,   0,   0}, {251,   0,   0}, {251,   0,   0},
   {252,   0,   0}, {253,   0,   0}, {253,   0,   0}, {254,   0,   0}, {255,   0,   0},
   {255,   0,   0}, {255,   1,   0}, {255,   2,   0}, {255,   2,   0}, {255,   3,   0},
   {255,   4,   0}, {255,   4,   0}, {255,   5,   0}, {255,   6,   0}, {255,   6,   0},
   {255,   7,   0}, {255,   8,   0}, {255,   8,   0}, {255,   9,   0}, {255,  10,   0},
   {255,  10,   0}, {255,  11,   0}, {255,  12,   0}, {255,  12,   0}, {255,  13,   0},
   {255,  14,   0}, {255,  14,   0}, {255,  15,   0}, {255,  16,   0}, {255,  16,   0},
   {255,  17,   0}, {255,  18,   0}, {255,  18,   0}, {255,  19,   0}, {255,  20,   0},
   {255,  20,   0}, {255,  21,   0}, {255,  22,   0}, {255,  22,   0}, {255,  23,   0},
   {255,  24,   0}, {255,  24,   0}, {255,  25,   0}, {255,  26,   0}, {255,  26,   0},
   {255,  27,   0}, {255,  28,   0}, {255,  28,   0}, {255,  29,   0}, {255,  30,   0},
   {255,  30,   0}, {255,  31,   0}, {255,  32,   0}, {255,  32,   0}, {255,  33,   0},
   {255,  34,   0}, {255,  34,   0}, {255,  35,   0}, {255,  36,   0}, {255,  36,   0},
   {255,  37,   0}, {255,  38,   0}, {255,  38,   0}, {255,  39,   0}, {255,  40,   0},
   {255,  40,   0}, {255,  41,   0}, {255,  42,   0}, {255,  42,   0}, {255,  43,   0},
   {255,  44,   0}, {255,  44,   0}, {255,  45,   0}, {255,  46,   0}, {255,  46,   0},
   {255,  47,   0}, {255,  48,   0}, {255,  48,   0}, {255,  49,   0}, {255,  50,   0},
   {255,  50,   0}, {255,  51,   0}, {255,  52,   0}, {255,  52,   0}, {255,  53,   0},
   {255,  54,   0}, {255,  54,   0}, {255,  55,   0}, {255,  56,   0}, {255,  56,   0},
   {255,  57,   0}, {255,  58,   0}, {255,  58,   0}, {255,  59,   0}, {255,  60,   0},
   {255,  60,   0}, {255,  61,   0}, {255,  62,   0}, {255,  63,   0}, {255,  63,   0},
   {255,  64,   0}, {255,  65,   0}, {255,  65,   0}, {255,  66,   0}, {255,  67,   0},
   {255,  67,   0}, {255,  68,   0}, {255,  69,   0}, {255,  69,   0}, {255,  70,   0},
   {255,  71,   0}, {255,  71,   0}, {255,  72,   0}, {255,  73,   0}, {255,  73,   0},
   {255,  74,   0}, {255,  75,   0}, {255,  75,   0}, {255,  76,   0}, {255,  77,   0},
   {255,  77,   0}, {255,  78,   0}, {255,  79,   0}, {255,  79,   0}, {255,  80,   0},
   {255,  81,   0}, {255,  81,   0}, {255,  82,   0}, {255,  83,   0}, {255,  83,   0},
   {255,  84,   0}, {255,  85,   0}, {255,  85,   0}, {255,  86,   0}, {255,  87,   0},
   {255,  87,   0}, {255,  88,   0}, {255,  89,   0}, {255,  89,   0}, {255,  90,   0},
   {255,  91,   0}, {255,  91,   0}, {255,  92,   0}, {255,  93,   0}, {255,  93,   0},
   {255,  94,   0}, {255,  95,   0}, {255,  95,   0}, {255,  96,   0}, {255,  97,   0},
   {255,  97,   0}, {255,  98,   0}, {255,  99,   0}, {255,  99,   0}, {255, 100,   0},
   {255, 101,   0}, {255, 101,   0}, {255, 102,   0}, {255, 103,   0}, {255, 103,   0},
   {255, 104,   0}, {255, 105,   0}, {255, 105,   0}, {255, 106,   0}, {255, 107,   0},
   {255, 107,   0}, {255, 108,   0}, {255, 109,   0}, {255, 109,   0}, {255, 110,   0},
   {255, 111,   0}, {255, 111,   0}, {255, 112,   0}, {255, 113,   0}, {255, 113,   0},
   {255, 114,   0}, {255, 115,   0}, {255, 115,   0}, {255, 116,   0}, {255, 117,   0},
   {255, 117,   0}, {255, 118,   0}, {255, 119,   0}, {255, 119,   0}, {255, 120,   0},
   {255, 121,   0}, {255, 121,   0}, {255, 122,   0}, {255, 123,   0}, {255, 123,   0},
   {255, 124,   0}, {255, 125,   0}, {255, 125,   0}, {255, 126,   0}, {255, 127,   0},
   {255, 128,   0}, {255, 128,   0}, {255, 129,   0}, {255, 130,   0}, {255, 130,   0},
   {255, 131,   0}, {255, 132,   0}, {255, 132,   0}, {255, 133,   0}, {255, 134,   0},
   {255, 134,   0}, {255, 135,   0}, {255, 136,   0}, {255, 136,   0}, {255, 137,   0},
   {255, 138,   0}, {255, 138,   0}, {255, 139,   0}, {255, 140,   0}, {255, 140,   0},
   {255, 141,   0}, {255, 142,   0}, {255, 142,   0}, {255, 143,   0}, {255, 144,   0},
   {255, 144,   0}, {255, 145,   0}, {255, 146,   0}, {255, 146,   0}, {255, 147,   0},
   {255, 148,   0}, {255, 148,   0}, {255, 149,   0}, {255, 150,   0}, {255, 150,   0},
   {255, 151,   0}, {255, 152,   0}, {255, 152,   0}, {255, 153,   0}, {255, 154,   0},
   {255, 154,   0}, {255, 155,   0}, {255, 156,   0}, {255, 156,   0}, {255, 157,   0},
   {255, 158,   0}, {255, 158,   0}, {255, 159,   0}, {255, 160,   0}, {255, 160,   0},
   {255, 161,   0}, {255, 162,   0}, {255, 162,   0}, {255, 163,   0}, {255, 164,   0},
   {255, 164,   0}, {255, 165,   0}, {255, 166,   0}, {255, 166,   0}, {255, 167,   0},
   {255, 168,   0}, {255, 168,   0}, {255, 169,   0}, {255, 170,   0}, {255, 170,   0},
   {255, 171,   0}, {255, 172,   0}, {255, 172,   0}, {255, 173,   0}, {255, 174,   0},
   {255, 174,   0}, {255, 175,   0}, {255, 176,   0}, {255, 176,   0}, {255, 177,   0},
   {255, 178,   0}, {255, 178,   0}, {255, 179,   0}, {255, 180,   0}, {255, 180,   0},
   {255, 181,   0}, {255, 182,   0}, {255, 182,   0}, {255, 183,   0}, {255, 184,   0},
   {255, 184,   0}, {255, 185,   0}, {255, 186,   0}, {255, 186,   0}, {255, 187,   0},
   {255, 188,   0}, {255, 188,   0}, {255, 189,   0}, {255, 190,   0}, {255, 190,   0},
   {255, 191,   0}, {255, 192,   0}, {255, 192,   0}, {255, 193,   0}, {255, 194,   0},
   {255, 195,   0}, {255, 195,   0}, {255, 196,   0}, {255, 197,   0}, {255, 197,   0},
   {255, 198,   0}, {255, 199,   0}, {255, 199,   0}, {255, 200,   0}, {255, 201,   0},
   {255, 201,   0}, {255, 202,   0}, {255, 203,   0}, {255, 203,   0}, {255, 204,   0},
   {255, 205,   0}, {255, 205,   0}, {255, 206,   0}, {255, 207,   0}, {255, 207,   0},
   {255, 208,   0}, {255, 209,   0}, {255, 209,   0}, {255, 210,   0}, {255, 211,   0},
   {255, 211,   0}, {255, 212,   0}, {255, 213,   0}, {255, 213,   0}, {255, 214,   0},
   {255, 215,   0}, {255, 215,   0}, {255, 216,   0}, {255, 217,   0}, {255, 217,   0},
   {255, 218,   0}, {255, 219,   0}, {255, 219,   0}, {255, 220,   0}, {255, 221,   0},
   {255, 221,   0}, {255, 222,   0}, {255, 223,   0}, {255, 223,   0}, {255, 224,   0},
   {255, 225,   0}, {255, 225,   0}, {255, 226,   0}, {255, 227,   0}, {255, 227,   0},
   {255, 228,   0}, {255, 229,   0}, {255, 229,   0}, {255, 230,   0}, {255, 231,   0},
   {255, 231,   0}, {255, 232,   0}, {255, 233,   0}, {255, 233,   0}, {255, 234,   0},
   {255, 235,   0}, {255, 235,   0}, {255, 236,   0}, {255, 237,   0}, {255, 237,   0},
   {255, 238,   0}, {255, 239,   0}, {255, 239,   0}, {255, 240,   0}, {255, 241,   0},
   {255, 241,   0}, {255, 242,   0}, {255, 243,   0}, {255, 243,   0}, {255, 244,   0},
   {255, 245,   0}, {255, 245,   0}, {255, 246,   0}, {255, 247,   0}, {255, 247,   0},
   {255, 248,   0}, {255, 249,   0}, {255, 249,   0}, {255, 250,   0}, {255, 251,   0},
   {255, 251,   0}, {255, 252,   0}, {255, 253,   0}, {255, 253,   0}, {255, 254,   0},
   {255, 255,   0}, {255, 255,   1}, {255, 255,   2}, {255, 255,   3}, {255, 255,   4},
   {255, 255,   5}, {255, 255,   6}, {255, 255,   7}, {255, 255,   8}, {255, 255,   9},
   {255, 255,  10}, {255, 255,  11}, {255, 255,  12}, {255, 255,  13}, {255, 255,  14},
   {255, 255,  15}, {255, 255,  16}, {255, 255,  17}, {255, 255,  18}, {255, 255,  19},
   {255, 255,  20}, {255, 255,  21}, {255, 255,  22}, {255, 255,  23}, {255, 255,  24},
   {255, 255,  25}, {255, 255,  26}, {255, 255,  27}, {255, 255,  28}, {255, 255,  29},
   {255, 255,  30}, {255, 255,  31}, {255, 255,  32}, {255, 255,  33}, {255, 255,  34},
   {255, 255,  35}, {255, 255,  36}, {255, 255,  37}, {255, 255,  38}, {255, 255,  39},
   {255, 255,  40}, {255, 255,  41}, {255, 255,  42}, {255, 255,  43}, {255, 255,  44},
   {255, 255,  45}, {255, 255,  46}, {255, 255,  47}, {255, 255,  48}, {255, 255,  49},
   {255, 255,  50}, {255, 255,  51}, {255, 255,  52}, {255, 255,  53}, {255, 255,  54},
   {255, 255,  55}, {255, 255,  56}, {255, 255,  57}, {255, 255,  58}, {255, 255,  59},
   {255, 255,  60}, {255, 255,  61}, {255, 255,  62}, {255, 255,  63}, {255, 255,  64},
   {255, 255,  65}, {255, 255,  66}, {255, 255,  67}, {255, 255,  68}, {255, 255,  69},
   {255, 255,  70}, {255, 255,  71}, {255, 255,  72}, {255, 255,  73}, {255, 255,  74},
   {255, 255,  75}, {255, 255,  76}, {255, 255,  77}, {255, 255,  78}, {255, 255,  79},
   {255, 255,  80}, {255, 255,  81}, {255, 255,  82}, {255, 255,  83}, {255, 255,  84},
   {255, 255,  85}, {255, 255,  86}, {255, 255,  87}, {255, 255,  88}, {255, 255,  89},
   {255, 255,  90}, {255, 255,  91}, {255, 255,  92}, {255, 255,  93}, {255, 255,  94},
   {255, 255,  95}, {255, 255,  96}, {255, 255,  97}, {255, 255,  98}, {255, 255,  99},
   {255, 255, 100}, {255, 255, 101}, {255, 255, 102}, {255, 255, 103}, {255, 255, 104},
   {255, 255, 105}, {255, 255, 106}, {255, 255, 107}, {255, 255, 108}, {255, 255, 109},
   {255, 255, 110}, {255, 255, 111}, {255, 255, 112}, {255, 255, 113}, {255, 255, 114},
   {255, 255, 115}, {255, 255, 116}, {255, 255, 117}, {255, 255, 118}, {255, 255, 119},
   {255, 255, 120}, {255, 255, 121}, {255, 255, 122}, {255, 255, 123}, {255, 255, 124},
   {255, 255, 125}, {255, 255, 126}, {255, 255, 127}, {255, 255, 128}, {255, 255, 129},
   {255, 255, 130}, {255, 255, 131}, {255, 255, 132}, {255, 255, 133}, {255, 255, 134},
   {255, 255, 135}, {255, 255, 136}, {255, 255, 137}, {255, 255, 138}, {255, 255, 139},
   {255, 255, 140}, {255, 255, 141}, {255, 255, 142}, {255, 255, 143}, {255, 255, 144},
   {255, 255, 145}, {255, 255, 146}, {255, 255, 147}, {255, 255, 148}, {255, 255, 149},
   {255, 255, 150}, {255, 255, 151}, {255, 255, 152}, {255, 255, 153}, {255, 255, 154},
   {255, 255, 155}, {255, 255, 157}, {255, 255, 158}, {255, 255, 159}, {255, 255, 160},
   {255, 255, 161}, {255, 255, 162}, {255, 255, 163}, {255, 255, 164}, {255, 255, 165},
   {255, 255, 166}, {255, 255, 167}, {255, 255, 168}, {255, 255, 169}, {255, 255, 170},
   {255, 255, 171}, {255, 255, 172}, {255, 255, 173}, {255, 255, 174}, {255, 255, 175},
   {255, 255, 176}, {255, 255, 177}, {255, 255, 178}, {255, 255, 179}, {255, 255, 180},
   {255, 255, 181}, {255, 255, 182}, {255, 255, 183}, {255, 255, 184}, {255, 255, 185},
   {255, 255, 186}, {255, 255, 187}, {255, 255, 188}, {255, 255, 189}, {255, 255, 190},
   {255, 255, 191}, {255, 255, 192}, {255, 255, 193}, {255, 255, 194}, {255, 255, 195},
   {255, 255, 196}, {255, 255, 197}, {255, 255, 198}, {255, 255, 199}, {255, 255, 200},
   {255, 255, 201}, {255, 255, 202}, {255, 255, 203}, {255, 255, 204}, {255, 255, 205},
   {255, 255, 206}, {255, 255, 207}, {255, 255, 208}, {255, 255, 209}, {255, 255, 210},
   {255, 255, 211}, {255, 255, 212}, {255, 255, 213}, {255, 255, 214}, {255, 255, 215},
   {255, 255, 216}, {255, 255, 217}, {255, 255, 218}, {255, 255, 219}, {255, 255, 220},
   {255, 255, 221}, {255, 255, 222}, {255, 255, 223}, {255, 255, 224}, {255, 255, 225},
   {255, 255, 226}, {255, 255, 227}, {255, 255, 228}, {255, 255, 229}, {255, 255, 230},
   {255, 255, 231}, {255, 255, 232}, {255, 255, 233}, {255, 255, 234}, {255, 255, 235},
   {255, 255, 236}, {255, 255, 237}, {255, 255, 238}, {255, 255, 239}, {255, 255, 240},
   {255, 255, 241}, {255, 255, 242}, {255, 255, 243}, {255, 255, 244}, {255, 255, 245},
   {255, 255, 246}, {255, 255, 247}, {255, 255, 248}, {255, 255, 249}, {255, 255, 250},
   {255, 255, 251}, {255, 255, 252}, {255, 255, 253}, {255, 255, 254}, {255, 255, 255}
};

const rgb_t hsv_colormap[1000] = {
   {255,   0,   0}, {255,   2,   0}, {255,   3,   0}, {255,   5,   0}, {255,   6,   0},
   {255,   8,   0}, {255,   9,   0}, {255,  11,   0}, {255,  12,   0}, {255,  14,   0},
   {255,  15,   0}, {255,  17,   0}, {255,  18,   0}, {255,  20,   0}, {255,  21,   0},
   {255,  23,   0}, {255,  24,   0}, {255,  26,   0}, {255,  27,   0}, {255,  29,   0},
   {255,  30,   0}, {255,  32,   0}, {255,  33,   0}, {255,  35,   0}, {255,  36,   0},
   {255,  38,   0}, {255,  39,   0}, {255,  41,   0}, {255,  42,   0}, {255,  44,   0},
   {255,  45,   0}, {255,  47,   0}, {255,  48,   0}, {255,  50,   0}, {255,  51,   0},
   {255,  53,   0}, {255,  54,   0}, {255,  56,   0}, {255,  57,   0}, {255,  59,   0},
   {255,  60,   0}, {255,  62,   0}, {255,  63,   0}, {255,  65,   0}, {255,  66,   0},
   {255,  68,   0}, {255,  69,   0}, {255,  71,   0}, {255,  72,   0}, {255,  74,   0},
   {255,  75,   0}, {255,  77,   0}, {255,  78,   0}, {255,  80,   0}, {255,  81,   0},
   {255,  83,   0}, {255,  84,   0}, {255,  86,   0}, {255,  87,   0}, {255,  89,   0},
   {255,  90,   0}, {255,  92,   0}, {255,  93,   0}, {255,  95,   0}, {255,  96,   0},
   {255,  98,   0}, {255, 100,   0}, {255, 101,   0}, {255, 103,   0}, {255, 104,   0},
   {255, 106,   0}, {255, 107,   0}, {255, 109,   0}, {255, 110,   0}, {255, 112,   0},
   {255, 113,   0}, {255, 115,   0}, {255, 116,   0}, {255, 118,   0}, {255, 119,   0},
   {255, 121,   0}, {255, 122,   0}, {255, 124,   0}, {255, 125,   0}, {255, 127,   0},
   {255, 128,   0}, {255, 130,   0}, {255, 131,   0}, {255, 133,   0}, {255, 134,   0},
   {255, 136,   0}, {255, 137,   0}, {255, 139,   0}, {255, 140,   0}, {255, 142,   0},
   {255, 143,   0}, {255, 145,   0}, {255, 146,   0}, {255, 148,   0}, {255, 149,   0},
   {255, 151,   0}, {255, 152,   0}, {255, 154,   0}, {255, 155,   0}, {255, 157,   0},
   {255, 158,   0}, {255, 160,   0}, {255, 161,   0}, {255, 163,   0}, {255, 164,   0},
   {255, 166,   0}, {255, 167,   0}, {255, 169,   0}, {255, 170,   0}, {255, 172,   0},
   {255, 173,   0}, {255, 175,   0}, {255, 176,   0}, {255, 178,   0}, {255, 179,   0},
   {255, 181,   0}, {255, 182,   0}, {255, 184,   0}, {255, 185,   0}, {255, 187,   0},
   {255, 188,   0}, {255, 190,   0}, {255, 191,   0}, {255, 193,   0}, {255, 194,   0},
   {255, 196,   0}, {255, 197,   0}, {255, 199,   0}, {255, 201,   0}, {255, 202,   0},
   {255, 204,   0}, {255, 205,   0}, {255, 207,   0}, {255, 208,   0}, {255, 210,   0},
   {255, 211,   0}, {255, 213,   0}, {255, 214,   0}, {255, 216,   0}, {255, 217,   0},
   {255, 219,   0}, {255, 220,   0}, {255, 222,   0}, {255, 223,   0}, {255, 225,   0},
   {255, 226,   0}, {255, 228,   0}, {255, 229,   0}, {255, 231,   0}, {255, 232,   0},
   {255, 234,   0}, {255, 235,   0}, {255, 237,   0}, {255, 238,   0}, {255, 239,   0},
   {254, 240,   0}, {254, 242,   0}, {253, 243,   0}, {253, 244,   0}, {252, 245,   0},
   {252, 246,   0}, {251, 247,   0}, {251, 248,   0}, {250, 249,   0}, {250, 250,   0},
   {249, 251,   0}, {249, 252,   0}, {248, 253,   0}, {248, 254,   0}, {247, 255,   0},
   {246, 255,   0}, {245, 255,   0}, {243, 255,   0}, {242, 255,   0}, {240, 255,   0},
   {239, 255,   0}, {237, 255,   0}, {236, 255,   0}, {234, 255,   0}, {233, 255,   0},
   {231, 255,   0}, {230, 255,   0}, {228, 255,   0}, {227, 255,   0}, {225, 255,   0},
   {224, 255,   0}, {222, 255,   0}, {221, 255,   0}, {219, 255,   0}, {218, 255,   0},
   {216, 255,   0}, {215, 255,   0}, {213, 255,   0}, {211, 255,   0}, {210, 255,   0},
   {208, 255,   0}, {207, 255,   0}, {205, 255,   0}, {204, 255,   0}, {202, 255,   0},
   {201, 255,   0}, {199, 255,   0}, {198, 255,   0}, {196, 255,   0}, {195, 255,   0},
   {193, 255,   0}, {192, 255,   0}, {190, 255,   0}, {189, 255,   0}, {187, 255,   0},
   {186, 255,   0}, {184, 255,   0}, {183, 255,   0}, {181, 255,   0}, {180, 255,   0},
   {178, 255,   0}, {177, 255,   0}, {175, 255,   0}, {174, 255,   0}, {172, 255,   0},
   {171, 255,   0}, {169, 255,   0}, {168, 255,   0}, {166, 255,   0}, {165, 255,   0},
   {163, 255,   0}, {162, 255,   0}, {160, 255,   0}, {159, 255,   0}, {157, 255,   0},
   {156, 255,   0}, {154, 255,   0}, {153, 255,   0}, {151, 255,   0}, {150, 255,   0},
   {148, 255,   0}, {147, 255,   0}, {145, 255,   0}, {144, 255,   0}, {142, 255,   0},
   {141, 255,   0}, {139, 255,   0}, {138, 255,   0}, {136, 255,   0}, {135, 255,   0},
   {133, 255,   0}, {132, 255,   0}, {130, 255,   0}, {129, 255,   0}, {127, 255,   0},
   {126, 255,   0}, {124, 255,   0}, {123, 255,   0}, {121, 255,   0}, {120, 255,   0},
   {118, 255,   0}, {117, 255,   0}, {115, 255,   0}, {114, 255,   0}, {112, 255,   0},
   {110, 255,   0}, {109, 255,   0}, {107, 255,   0}, {106, 255,   0}, {104, 255,   0},
   {103, 255,   0}, {101, 255,   0}, {100, 255,   0}, { 98, 255,   0}, { 97, 255,   0},
   { 95, 255,   0}, { 94, 255,   0}, { 92, 255,   0}, { 91, 255,   0}, { 89, 255,   0},
   { 88, 255,   0}, { 86, 255,   0}, { 85, 255,   0}, { 83, 255,   0}, { 82, 255,   0},
   { 80, 255,   0}, { 79, 255,   0}, { 77, 255,   0}, { 76, 255,   0}, { 74, 255,   0},
   { 73, 255,   0}, { 71, 255,   0}, { 70, 255,   0}, { 68, 255,   0}, { 67, 255,   0},
   { 65, 255,   0}, { 64, 255,   0}, { 62, 255,   0}, { 61, 255,   0}, { 59, 255,   0},
   { 58, 255,   0}, { 56, 255,   0}, { 55, 255,   0}, { 53, 255,   0}, { 52, 255,   0},
   { 50, 255,   0}, { 49, 255,   0}, { 47, 255,   0}, { 46, 255,   0}, { 44, 255,   0},
   { 43, 255,   0}, { 41, 255,   0}, { 40, 255,   0}, { 38, 255,   0}, { 37, 255,   0},
   { 35, 255,   0}, { 34, 255,   0}, { 32, 255,   0}, { 31, 255,   0}, { 29, 255,   0},
   { 28, 255,   0}, { 26, 255,   0}, { 25, 255,   0}, { 23, 255,   0}, { 22, 255,   0},
   { 20, 255,   0}, { 19, 255,   0}, { 17, 255,   0}, { 16, 255,   0}, { 14, 255,   0},
   { 12, 255,   0}, { 11, 255,   0}, {  9, 255,   0}, {  8, 255,   0}, {  7, 255,   1},
   {  7, 255,   2}, {  6, 255,   3}, {  6, 255,   4}, {  5, 255,   5}, {  5, 255,   6},
   {  4, 255,   7}, {  4, 255,   8}, {  3, 255,   9}, {  3, 255,  10}, {  2, 255,  11},
   {  2, 255,  12}, {  1, 255,  13}, {  1, 255,  14}, {  0, 255,  15}, {  0, 255,  16},
   {  0, 255,  18}, {  0, 255,  19}, {  0, 255,  21}, {  0, 255,  22}, {  0, 255,  24},
   {  0, 255,  25}, {  0, 255,  27}, {  0, 255,  28}, {  0, 255,  30}, {  0, 255,  31},
   {  0, 255,  33}, {  0, 255,  34}, {  0, 255,  36}, {  0, 255,  37}, {  0, 255,  39},
   {  0, 255,  40}, {  0, 255,  42}, {  0, 255,  43}, {  0, 255,  45}, {  0, 255,  46},
   {  0, 255,  48}, {  0, 255,  49}, {  0, 255,  51}, {  0, 255,  52}, {  0, 255,  54},
   {  0, 255,  55}, {  0, 255,  57}, {  0, 255,  58}, {  0, 255,  60}, {  0, 255,  61},
   {  0, 255,  63}, {  0, 255,  64}, {  0, 255,  66}, {  0, 255,  67}, {  0, 255,  69},
   {  0, 255,  70}, {  0, 255,  72}, {  0, 255,  73}, {  0, 255,  75}, {  0, 255,  76},
   {  0, 255,  78}, {  0, 255,  79}, {  0, 255,  81}, {  0, 255,  82}, {  0, 255,  84},
   {  0, 255,  86}, {  0, 255,  87}, {  0, 255,  89}, {  0, 255,  90}, {  0, 255,  92},
   {  0, 255,  93}, {  0, 255,  95}, {  0, 255,  96}, {  0, 255,  98}, {  0, 255,  99},
   {  0, 255, 101}, {  0, 255, 102}, {  0, 255, 104}, {  0, 255, 105}, {  0, 255, 107},
   {  0, 255, 108}, {  0, 255, 110}, {  0, 255, 111}, {  0, 255, 113}, {  0, 255, 114},
   {  0, 255, 116}, {  0, 255, 117}, {  0, 255, 119}, {  0, 255, 120}, {  0, 255, 122},
   {  0, 255, 123}, {  0, 255, 125}, {  0, 255, 126}, {  0, 255, 128}, {  0, 255, 129},
   {  0, 255, 131}, {  0, 255, 132}, {  0, 255, 134}, {  0, 255, 135}, {  0, 255, 137},
   {  0, 255, 138}, {  0, 255, 140}, {  0, 255, 141}, {  0, 255, 143}, {  0, 255, 144},
   {  0, 255, 146}, {  0, 255, 147}, {  0, 255, 149}, {  0, 255, 150}, {  0, 255, 152},
   {  0, 255, 153}, {  0, 255, 155}, {  0, 255, 156}, {  0, 255, 158}, {  0, 255, 159},
   {  0, 255, 161}, {  0, 255, 162}, {  0, 255, 164}, {  0, 255, 165}, {  0, 255, 167},
   {  0, 255, 168}, {  0, 255, 170}, {  0, 255, 171}, {  0, 255, 173}, {  0, 255, 174},
   {  0, 255, 176}, {  0, 255, 177}, {  0, 255, 179}, {  0, 255, 180}, {  0, 255, 182},
   {  0, 255, 183}, {  0, 255, 185}, {  0, 255, 187}, {  0, 255, 188}, {  0, 255, 190},
   {  0, 255, 191}, {  0, 255, 193}, {  0, 255, 194}, {  0, 255, 196}, {  0, 255, 197},
   {  0, 255, 199}, {  0, 255, 200}, {  0, 255, 202}, {  0, 255, 203}, {  0, 255, 205},
   {  0, 255, 206}, {  0, 255, 208}, {  0, 255, 209}, {  0, 255, 211}, {  0, 255, 212},
   {  0, 255, 214}, {  0, 255, 215}, {  0, 255, 217}, {  0, 255, 218}, {  0, 255, 220},
   {  0, 255, 221}, {  0, 255, 223}, {  0, 255, 224}, {  0, 255, 226}, {  0, 255, 227},
   {  0, 255, 229}, {  0, 255, 230}, {  0, 255, 232}, {  0, 255, 233}, {  0, 255, 235},
   {  0, 255, 236}, {  0, 255, 238}, {  0, 255, 239}, {  0, 255, 241}, {  0, 255, 242},
   {  0, 255, 244}, {  0, 255, 245}, {  0, 255, 247}, {  0, 255, 248}, {  0, 255, 250},
   {  0, 255, 251}, {  0, 255, 253}, {  0, 255, 254}, {  0, 254, 255}, {  0, 253, 255},
   {  0, 251, 255}, {  0, 250, 255}, {  0, 248, 255}, {  0, 247, 255}, {  0, 245, 255},
   {  0, 244, 255}, {  0, 242, 255}, {  0, 241, 255}, {  0, 239, 255}, {  0, 238, 255},
   {  0, 236, 255}, {  0, 235, 255}, {  0, 233, 255}, {  0, 232, 255}, {  0, 230, 255},
   {  0, 229, 255}, {  0, 227, 255}, {  0, 225, 255}, {  0, 224, 255}, {  0, 222, 255},
   {  0, 221, 255}, {  0, 219, 255}, {  0, 218, 255}, {  0, 216, 255}, {  0, 215, 255},
   {  0, 213, 255}, {  0, 212, 255}, {  0, 210, 255}, {  0, 209, 255}, {  0, 207, 255},
   {  0, 206, 255}, {  0, 204, 255}, {  0, 203, 255}, {  0, 201, 255}, {  0, 200, 255},
   {  0, 198, 255}, {  0, 197, 255}, {  0, 195, 255}, {  0, 194, 255}, {  0, 192, 255},
   {  0, 191, 255}, {  0, 189, 255}, {  0, 188, 255}, {  0, 186, 255}, {  0, 185, 255},
   {  0, 183, 255}, {  0, 182, 255}, {  0, 180, 255}, {  0, 179, 255}, {  0, 177, 255},
   {  0, 176, 255}, {  0, 174, 255}, {  0, 173, 255}, {  0, 171, 255}, {  0, 170, 255},
   {  0, 168, 255}, {  0, 167, 255}, {  0, 165, 255}, {  0, 164, 255}, {  0, 162, 255},
   {  0, 161, 255}, {  0, 159, 255}, {  0, 158, 255}, {  0, 156, 255}, {  0, 155, 255},
   {  0, 153, 255}, {  0, 152, 255}, {  0, 150, 255}, {  0, 149, 255}, {  0, 147, 255},
   {  0, 146, 255}, {  0, 144, 255}, {  0, 143, 255}, {  0, 141, 255}, {  0, 140, 255},
   {  0, 138, 255}, {  0, 137, 255}, {  0, 135, 255}, {  0, 134, 255}, {  0, 132, 255},
   {  0, 131, 255}, {  0, 129, 255}, {  0, 128, 255}, {  0, 126, 255}, {  0, 124, 255},
   {  0, 123, 255}, {  0, 121, 255}, {  0, 120, 255}, {  0, 118, 255}, {  0, 117, 255},
   {  0, 115, 255}, {  0, 114, 255}, {  0, 112, 255}, {  0, 111, 255}, {  0, 109, 255},
   {  0, 108, 255}, {  0, 106, 255}, {  0, 105, 255}, {  0, 103, 255}, {  0, 102, 255},
   {  0, 100, 255}, {  0,  99, 255}, {  0,  97, 255}, {  0,  96, 255}, {  0,  94, 255},
   {  0,  93, 255}, {  0,  91, 255}, {  0,  90, 255}, {  0,  88, 255}, {  0,  87, 255},
   {  0,  85, 255}, {  0,  84, 255}, {  0,  82, 255}, {  0,  81, 255}, {  0,  79, 255},
   {  0,  78, 255}, {  0,  76, 255}, {  0,  75, 255}, {  0,  73, 255}, {  0,  72, 255},
   {  0,  70, 255}, {  0,  69, 255}, {  0,  67, 255}, {  0,  66, 255}, {  0,  64, 255},
   {  0,  63, 255}, {  0,  61, 255}, {  0,  60, 255}, {  0,  58, 255}, {  0,  57, 255},
   {  0,  55, 255}, {  0,  54, 255}, {  0,  52, 255}, {  0,  51, 255}, {  0,  49, 255},
   {  0,  48, 255}, {  0,  46, 255}, {  0,  45, 255}, {  0,  43, 255}, {  0,  42, 255},
   {  0,  40, 255}, {  0,  39, 255}, {  0,  37, 255}, {  0,  36, 255}, {  0,  34, 255},
   {  0,  33, 255}, {  0,  31, 255}, {  0,  30, 255}, {  0,  28, 255}, {  0,  26, 255},
   {  0,  25, 255}, {  0,  23, 255}, {  0,  22, 255}, {  0,  20, 255}, {  0,  19, 255},
   {  0,  17, 255}, {  0,  16, 255}, {  1,  15, 255}, {  1,  14, 255}, {  2,  13, 255},
   {  2,  12, 255}, {  3,  11, 255}, {  3,  10, 255}, {  4,   9, 255}, {  4,   8, 255},
   {  5,   7, 255}, {  5,   6, 255}, {  6,   5, 255}, {  6,   4, 255}, {  7,   3, 255},
   {  7,   2, 255}, {  8,   1, 255}, {  8,   0, 255}, { 10,   0, 255}, { 11,   0, 255},
   { 13,   0, 255}, { 14,   0, 255}, { 16,   0, 255}, { 17,   0, 255}, { 19,   0, 255},
   { 20,   0, 255}, { 22,   0, 255}, { 23,   0, 255}, { 25,   0, 255}, { 26,   0, 255},
   { 28,   0, 255}, { 29,   0, 255}, { 31,   0, 255}, { 32,   0, 255}, { 34,   0, 255},
   { 35,   0, 255}, { 37,   0, 255}, { 38,   0, 255}, { 40,   0, 255}, { 41,   0, 255},
   { 43,   0, 255}, { 44,   0, 255}, { 46,   0, 255}, { 47,   0, 255}, { 49,   0, 255},
   { 50,   0, 255}, { 52,   0, 255}, { 53,   0, 255}, { 55,   0, 255}, { 56,   0, 255},
   { 58,   0, 255}, { 59,   0, 255}, { 61,   0, 255}, { 62,   0, 255}, { 64,   0, 255},
   { 65,   0, 255}, { 67,   0, 255}, { 68,   0, 255}, { 70,   0, 255}, { 72,   0, 255},
   { 73,   0, 255}, { 75,   0, 255}, { 76,   0, 255}, { 78,   0, 255}, { 79,   0, 255},
   { 81,   0, 255}, { 82,   0, 255}, { 84,   0, 255}, { 85,   0, 255}, { 87,   0, 255},
   { 88,   0, 255}, { 90,   0, 255}, { 91,   0, 255}, { 93,   0, 255}, { 94,   0, 255},
   { 96,   0, 255}, { 97,   0, 255}, { 99,   0, 255}, {100,   0, 255}, {102,   0, 255},
   {103,   0, 255}, {105,   0, 255}, {106,   0, 255}, {108,   0, 255}, {109,   0, 255},
   {111,   0, 255}, {112,   0, 255}, {114,   0, 255}, {115,   0, 255}, {117,   0, 255},
   {118,   0, 255}, {120,   0, 255}, {121,   0, 255}, {123,   0, 255}, {124,   0, 255},
   {126,   0, 255}, {127,   0, 255}, {129,   0, 255}, {130,   0, 255}, {132,   0, 255},
   {133,   0, 255}, {135,   0, 255}, {136,   0, 255}, {138,   0, 255}, {139,   0, 255},
   {141,   0, 255}, {142,   0, 255}, {144,   0, 255}, {145,   0, 255}, {147,   0, 255},
   {148,   0, 255}, {150,   0, 255}, {151,   0, 255}, {153,   0, 255}, {154,   0, 255},
   {156,   0, 255}, {157,   0, 255}, {159,   0, 255}, {160,   0, 255}, {162,   0, 255},
   {163,   0, 255}, {165,   0, 255}, {166,   0, 255}, {168,   0, 255}, {169,   0, 255},
   {171,   0, 255}, {173,   0, 255}, {174,   0, 255}, {176,   0, 255}, {177,   0, 255},
   {179,   0, 255}, {180,   0, 255}, {182,   0, 255}, {183,   0, 255}, {185,   0, 255},
   {186,   0, 255}, {188,   0, 255}, {189,   0, 255}, {191,   0, 255}, {192,   0, 255},
   {194,   0, 255}, {195,   0, 255}, {197,   0, 255}, {198,   0, 255}, {200,   0, 255},
   {201,   0, 255}, {203,   0, 255}, {204,   0, 255}, {206,   0, 255}, {207,   0, 255},
   {209,   0, 255}, {210,   0, 255}, {212,   0, 255}, {213,   0, 255}, {215,   0, 255},
   {216,   0, 255}, {218,   0, 255}, {219,   0, 255}, {221,   0, 255}, {222,   0, 255},
   {224,   0, 255}, {225,   0, 255}, {227,   0, 255}, {228,   0, 255}, {230,   0, 255},
   {231,   0, 255}, {233,   0, 255}, {234,   0, 255}, {236,   0, 255}, {237,   0, 255},
   {239,   0, 255}, {240,   0, 255}, {242,   0, 255}, {243,   0, 255}, {245,   0, 255},
   {246,   0, 255}, {247,   0, 254}, {248,   0, 253}, {248,   0, 252}, {249,   0, 251},
   {249,   0, 250}, {250,   0, 249}, {250,   0, 248}, {251,   0, 247}, {251,   0, 246},
   {252,   0, 245}, {252,   0, 244}, {253,   0, 243}, {253,   0, 242}, {254,   0, 241},
   {254,   0, 240}, {255,   0, 239}, {255,   0, 238}, {255,   0, 236}, {255,   0, 235},
   {255,   0, 233}, {255,   0, 232}, {255,   0, 230}, {255,   0, 229}, {255,   0, 227},
   {255,   0, 226}, {255,   0, 224}, {255,   0, 223}, {255,   0, 221}, {255,   0, 220},
   {255,   0, 218}, {255,   0, 217}, {255,   0, 215}, {255,   0, 214}, {255,   0, 212},
   {255,   0, 211}, {255,   0, 209}, {255,   0, 208}, {255,   0, 206}, {255,   0, 205},
   {255,   0, 203}, {255,   0, 202}, {255,   0, 200}, {255,   0, 199}, {255,   0, 197},
   {255,   0, 196}, {255,   0, 194}, {255,   0, 193}, {255,   0, 191}, {255,   0, 190},
   {255,   0, 188}, {255,   0, 187}, {255,   0, 185}, {255,   0, 184}, {255,   0, 182},
   {255,   0, 181}, {255,   0, 179}, {255,   0, 178}, {255,   0, 176}, {255,   0, 175},
   {255,   0, 173}, {255,   0, 172}, {255,   0, 170}, {255,   0, 169}, {255,   0, 167},
   {255,   0, 166}, {255,   0, 164}, {255,   0, 163}, {255,   0, 161}, {255,   0, 160},
   {255,   0, 158}, {255,   0, 157}, {255,   0, 155}, {255,   0, 154}, {255,   0, 152},
   {255,   0, 151}, {255,   0, 149}, {255,   0, 148}, {255,   0, 146}, {255,   0, 145},
   {255,   0, 143}, {255,   0, 141}, {255,   0, 140}, {255,   0, 138}, {255,   0, 137},
   {255,   0, 135}, {255,   0, 134}, {255,   0, 132}, {255,   0, 131}, {255,   0, 129},
   {255,   0, 128}, {255,   0, 126}, {255,   0, 125}, {255,   0, 123}, {255,   0, 122},
   {255,   0, 120}, {255,   0, 119}, {255,   0, 117}, {255,   0, 116}, {255,   0, 114},
   {255,   0, 113}, {255,   0, 111}, {255,   0, 110}, {255,   0, 108}, {255,   0, 107},
   {255,   0, 105}, {255,   0, 104}, {255,   0, 102}, {255,   0, 101}, {255,   0,  99},
   {255,   0,  98}, {255,   0,  96}, {255,   0,  95}, {255,   0,  93}, {255,   0,  92},
   {255,   0,  90}, {255,   0,  89}, {255,   0,  87}, {255,   0,  86}, {255,   0,  84},
   {255,   0,  83}, {255,   0,  81}, {255,   0,  80}, {255,   0,  78}, {255,   0,  77},
   {255,   0,  75}, {255,   0,  74}, {255,   0,  72}, {255,   0,  71}, {255,   0,  69},
   {255,   0,  68}, {255,   0,  66}, {255,   0,  65}, {255,   0,  63}, {255,   0,  62},
   {255,   0,  60}, {255,   0,  59}, {255,   0,  57}, {255,   0,  56}, {255,   0,  54},
   {255,   0,  53}, {255,   0,  51}, {255,   0,  50}, {255,   0,  48}, {255,   0,  47},
   {255,   0,  45}, {255,   0,  44}, {255,   0,  42}, {255,   0,  40}, {255,   0,  39},
   {255,   0,  37}, {255,   0,  36}, {255,   0,  34}, {255,   0,  33}, {255,   0,  31},
   {255,   0,  30}, {255,   0,  28}, {255,   0,  27}, {255,   0,  25}, {255,   0,  24}
};

const rgb_t jet_colormap[1000] = {
   { 29,   0, 102}, { 23,   0, 107}, { 17,   0, 112}, { 12,   0, 117}, {  6,   0, 122},
   {  0,   0, 127}, {  0,   0, 128}, {  0,   0, 129}, {  0,   0, 129}, {  0,   0, 130},
   {  0,   0, 131}, {  0,   0, 132}, {  0,   0, 133}, {  0,   0, 133}, {  0,   0, 134},
   {  0,   0, 135}, {  0,   0, 136}, {  0,   0, 137}, {  0,   0, 138}, {  0,   0, 140},
   {  0,   0, 141}, {  0,   0, 142}, {  0,   0, 143}, {  0,   0, 145}, {  0,   0, 146},
   {  0,   0, 147}, {  0,   0, 148}, {  0,   0, 150}, {  0,   0, 151}, {  0,   0, 152},
   {  0,   0, 153}, {  0,   0, 154}, {  0,   0, 156}, {  0,   0, 157}, {  0,   0, 158},
   {  0,   0, 159}, {  0,   0, 160}, {  0,   0, 161}, {  0,   0, 163}, {  0,   0, 164},
   {  0,   0, 165}, {  0,   0, 166}, {  0,   0, 168}, {  0,   0, 169}, {  0,   0, 170},
   {  0,   0, 171}, {  0,   0, 173}, {  0,   0, 174}, {  0,   0, 175}, {  0,   0, 176},
   {  0,   0, 178}, {  0,   0, 179}, {  0,   0, 180}, {  0,   0, 181}, {  0,   0, 183},
   {  0,   0, 184}, {  0,   0, 185}, {  0,   0, 186}, {  0,   0, 188}, {  0,   0, 189},
   {  0,   0, 190}, {  0,   0, 191}, {  0,   0, 193}, {  0,   0, 194}, {  0,   0, 195},
   {  0,   0, 196}, {  0,   0, 197}, {  0,   0, 198}, {  0,   0, 200}, {  0,   0, 201},
   {  0,   0, 202}, {  0,   0, 203}, {  0,   0, 204}, {  0,   0, 206}, {  0,   0, 207},
   {  0,   0, 208}, {  0,   0, 209}, {  0,   0, 211}, {  0,   0, 212}, {  0,   0, 213},
   {  0,   0, 214}, {  0,   0, 216}, {  0,   0, 217}, {  0,   0, 218}, {  0,   0, 219},
   {  0,   0, 221}, {  0,   0, 222}, {  0,   0, 223}, {  0,   0, 225}, {  0,   0, 226},
   {  0,   0, 227}, {  0,   0, 228}, {  0,   0, 230}, {  0,   0, 231}, {  0,   0, 232},
   {  0,   0, 233}, {  0,   0, 234}, {  0,   0, 234}, {  0,   0, 235}, {  0,   0, 236},
   {  0,   0, 237}, {  0,   0, 238}, {  0,   0, 239}, {  0,   0, 239}, {  0,   0, 240},
   {  0,   0, 241}, {  0,   0, 242}, {  0,   0, 243}, {  0,   0, 244}, {  0,   0, 246},
   {  0,   0, 247}, {  0,   0, 248}, {  0,   0, 249}, {  0,   0, 250}, {  0,   0, 251},
   {  0,   0, 253}, {  0,   0, 254}, {  0,   0, 254}, {  0,   0, 254}, {  0,   0, 254},
   {  0,   0, 254}, {  0,   0, 254}, {  0,   0, 255}, {  0,   0, 255}, {  0,   0, 255},
   {  0,   0, 255}, {  0,   0, 255}, {  0,   0, 255}, {  0,   1, 255}, {  0,   1, 255},
   {  0,   2, 255}, {  0,   3, 255}, {  0,   3, 255}, {  0,   4, 255}, {  0,   5, 255},
   {  0,   6, 255}, {  0,   6, 255}, {  0,   7, 255}, {  0,   8, 255}, {  0,   9, 255},
   {  0,  10, 255}, {  0,  11, 255}, {  0,  12, 255}, {  0,  13, 255}, {  0,  14, 255},
   {  0,  15, 255}, {  0,  16, 255}, {  0,  17, 255}, {  0,  18, 255}, {  0,  19, 255},
   {  0,  21, 255}, {  0,  22, 255}, {  0,  23, 255}, {  0,  24, 255}, {  0,  25, 255},
   {  0,  26, 255}, {  0,  27, 255}, {  0,  28, 255}, {  0,  29, 255}, {  0,  30, 255},
   {  0,  31, 255}, {  0,  32, 255}, {  0,  34, 255}, {  0,  35, 255}, {  0,  36, 255},
   {  0,  37, 255}, {  0,  38, 255}, {  0,  39, 255}, {  0,  40, 255}, {  0,  41, 255},
   {  0,  42, 255}, {  0,  43, 255}, {  0,  44, 255}, {  0,  45, 255}, {  0,  46, 255},
   {  0,  48, 255}, {  0,  49, 255}, {  0,  50, 255}, {  0,  51, 255}, {  0,  52, 255},
   {  0,  53, 255}, {  0,  54, 255}, {  0,  55, 255}, {  0,  56, 255}, {  0,  57, 255},
   {  0,  58, 255}, {  0,  58, 255}, {  0,  59, 255}, {  0,  60, 255}, {  0,  60, 255},
   {  0,  61, 255}, {  0,  62, 255}, {  0,  63, 255}, {  0,  63, 255}, {  0,  64, 255},
   {  0,  65, 255}, {  0,  66, 255}, {  0,  67, 255}, {  0,  68, 255}, {  0,  69, 255},
   {  0,  71, 255}, {  0,  72, 255}, {  0,  73, 255}, {  0,  74, 255}, {  0,  75, 255},
   {  0,  76, 255}, {  0,  77, 255}, {  0,  78, 255}, {  0,  79, 255}, {  0,  80, 255},
   {  0,  81, 255}, {  0,  82, 255}, {  0,  84, 255}, {  0,  85, 255}, {  0,  86, 255},
   {  0,  87, 255}, {  0,  88, 255}, {  0,  89, 255}, {  0,  90, 255}, {  0,  91, 255},
   {  0,  92, 255}, {  0,  93, 255}, {  0,  94, 255}, {  0,  95, 255}, {  0,  96, 255},
   {  0,  98, 255}, {  0,  99, 255}, {  0, 100, 255}, {  0, 101, 255}, {  0, 102, 255},
   {  0, 103, 255}, {  0, 104, 255}, {  0, 105, 255}, {  0, 106, 255}, {  0, 107, 255},
   {  0, 108, 255}, {  0, 109, 255}, {  0, 111, 255}, {  0, 112, 255}, {  0, 113, 255},
   {  0, 114, 255}, {  0, 115, 255}, {  0, 116, 255}, {  0, 117, 255}, {  0, 118, 255},
   {  0, 119, 255}, {  0, 120, 255}, {  0, 121, 255}, {  0, 122, 255}, {  0, 123, 255},
   {  0, 125, 255}, {  0, 126, 255}, {  0, 127, 255}, {  0, 128, 255}, {  0, 129, 255},
   {  0, 130, 255}, {  0, 131, 255}, {  0, 132, 255}, {  0, 133, 255}, {  0, 134, 255},
   {  0, 135, 255}, {  0, 136, 255}, {  0, 138, 255}, {  0, 139, 255}, {  0, 140, 255},
   {  0, 141, 255}, {  0, 142, 255}, {  0, 143, 255}, {  0, 144, 255}, {  0, 145, 255},
   {  0, 146, 255}, {  0, 147, 255}, {  0, 148, 255}, {  0, 149, 255}, {  0, 150, 255},
   {  0, 150, 255}, {  0, 151, 255}, {  0, 152, 255}, {  0, 153, 255}, {  0, 153, 255},
   {  0, 154, 255}, {  0, 155, 255}, {  0, 155, 255}, {  0, 156, 255}, {  0, 157, 255},
   {  0, 158, 255}, {  0, 159, 255}, {  0, 161, 255}, {  0, 162, 255}, {  0, 163, 255},
   {  0, 164, 255}, {  0, 165, 255}, {  0, 166, 255}, {  0, 167, 255}, {  0, 168, 255},
   {  0, 169, 255}, {  0, 170, 255}, {  0, 171, 255}, {  0, 172, 255}, {  0, 173, 255},
   {  0, 175, 255}, {  0, 176, 255}, {  0, 177, 255}, {  0, 178, 255}, {  0, 179, 255},
   {  0, 180, 255}, {  0, 181, 255}, {  0, 182, 255}, {  0, 183, 255}, {  0, 184, 255},
   {  0, 185, 255}, {  0, 186, 255}, {  0, 188, 255}, {  0, 189, 255}, {  0, 190, 255},
   {  0, 191, 255}, {  0, 192, 255}, {  0, 193, 255}, {  0, 194, 255}, {  0, 195, 255},
   {  0, 196, 255}, {  0, 197, 255}, {  0, 198, 255}, {  0, 199, 255}, {  0, 200, 255},
   {  0, 202, 255}, {  0, 203, 255}, {  0, 204, 255}, {  0, 205, 255}, {  0, 206, 255},
   {  0, 207, 255}, {  0, 208, 255}, {  0, 209, 255}, {  0, 210, 255}, {  0, 211, 255},
   {  0, 212, 255}, {  0, 213, 255}, {  0, 215, 255}, {  0, 216, 255}, {  0, 217, 255},
   {  0, 218, 254}, {  0, 219, 253}, {  0, 220, 252}, {  0, 221, 252}, {  0, 222, 251},
   {  0, 223, 250}, {  0, 224, 250}, {  0, 225, 249}, {  0, 226, 248}, {  0, 227, 247},
   {  0, 229, 247}, {  1, 230, 246}, {  2, 231, 245}, {  3, 232, 244}, {  3, 233, 243},
   {  4, 234, 242}, {  5, 235, 241}, {  5, 236, 240}, {  6, 237, 239}, {  7, 238, 238},
   {  8, 239, 238}, {  8, 240, 237}, {  9, 241, 236}, { 10, 242, 236}, { 10, 242, 235},
   { 11, 243, 235}, { 11, 244, 234}, { 12, 245, 234}, { 13, 245, 233}, { 13, 246, 232},
   { 14, 247, 232}, { 15, 247, 231}, { 15, 248, 231}, { 16, 249, 230}, { 17, 249, 229},
   { 18, 250, 228}, { 18, 251, 227}, { 19, 251, 226}, { 20, 252, 225}, { 21, 253, 224},
   { 22, 253, 224}, { 23, 254, 223}, { 23, 254, 222}, { 24, 255, 221}, { 25, 255, 220},
   { 26, 255, 219}, { 27, 255, 218}, { 28, 255, 218}, { 29, 255, 217}, { 30, 255, 216},
   { 30, 255, 215}, { 31, 255, 214}, { 32, 255, 214}, { 33, 255, 213}, { 34, 255, 212},
   { 35, 255, 211}, { 36, 255, 210}, { 37, 255, 209}, { 38, 255, 208}, { 39, 255, 207},
   { 39, 255, 207}, { 40, 255, 206}, { 41, 255, 205}, { 42, 255, 204}, { 43, 255, 203},
   { 44, 255, 202}, { 45, 255, 201}, { 46, 255, 200}, { 47, 255, 199}, { 48, 255, 198},
   { 48, 255, 198}, { 49, 255, 197}, { 50, 255, 196}, { 51, 255, 195}, { 52, 255, 194},
   { 53, 255, 193}, { 54, 255, 192}, { 55, 255, 191}, { 55, 255, 191}, { 56, 255, 190},
   { 57, 255, 189}, { 58, 255, 188}, { 59, 255, 187}, { 60, 255, 186}, { 60, 255, 186},
   { 61, 255, 185}, { 62, 255, 184}, { 63, 255, 183}, { 64, 255, 182}, { 65, 255, 181},
   { 65, 255, 181}, { 66, 255, 180}, { 67, 255, 179}, { 68, 255, 178}, { 69, 255, 177},
   { 70, 255, 176}, { 71, 255, 175}, { 72, 255, 174}, { 73, 255, 173}, { 74, 255, 172},
   { 74, 255, 172}, { 75, 255, 171}, { 76, 255, 170}, { 77, 255, 169}, { 78, 255, 168},
   { 79, 255, 167}, { 80, 255, 166}, { 81, 255, 165}, { 82, 255, 164}, { 83, 255, 163},
   { 83, 255, 163}, { 84, 255, 162}, { 84, 255, 162}, { 85, 255, 161}, { 85, 255, 161},
   { 86, 255, 160}, { 87, 255, 159}, { 87, 255, 159}, { 88, 255, 158}, { 88, 255, 158},
   { 89, 255, 157}, { 89, 255, 157}, { 90, 255, 156}, { 91, 255, 155}, { 92, 255, 154},
   { 93, 255, 153}, { 94, 255, 152}, { 95, 255, 151}, { 96, 255, 150}, { 97, 255, 149},
   { 97, 255, 149}, { 98, 255, 148}, { 99, 255, 147}, {100, 255, 146}, {101, 255, 145},
   {102, 255, 144}, {102, 255, 143}, {103, 255, 142}, {104, 255, 141}, {105, 255, 140},
   {106, 255, 140}, {107, 255, 139}, {107, 255, 138}, {108, 255, 137}, {109, 255, 136},
   {110, 255, 135}, {111, 255, 134}, {112, 255, 134}, {113, 255, 133}, {114, 255, 132},
   {114, 255, 131}, {115, 255, 130}, {116, 255, 130}, {117, 255, 129}, {118, 255, 128},
   {119, 255, 127}, {120, 255, 126}, {121, 255, 125}, {122, 255, 124}, {123, 255, 123},
   {123, 255, 123}, {124, 255, 122}, {125, 255, 121}, {126, 255, 120}, {127, 255, 119},
   {128, 255, 118}, {129, 255, 117}, {130, 255, 116}, {130, 255, 115}, {131, 255, 114},
   {132, 255, 114}, {133, 255, 113}, {134, 255, 112}, {134, 255, 111}, {135, 255, 110},
   {136, 255, 109}, {137, 255, 108}, {138, 255, 107}, {139, 255, 107}, {140, 255, 106},
   {140, 255, 105}, {141, 255, 104}, {142, 255, 103}, {143, 255, 102}, {144, 255, 102},
   {145, 255, 101}, {146, 255, 100}, {147, 255,  99}, {148, 255,  98}, {149, 255,  97},
   {149, 255,  97}, {150, 255,  96}, {151, 255,  95}, {152, 255,  94}, {153, 255,  93},
   {154, 255,  92}, {155, 255,  91}, {156, 255,  90}, {157, 255,  89}, {157, 255,  89},
   {158, 255,  88}, {158, 255,  88}, {159, 255,  87}, {159, 255,  87}, {160, 255,  86},
   {161, 255,  85}, {161, 255,  85}, {162, 255,  84}, {162, 255,  84}, {163, 255,  83},
   {163, 255,  83}, {164, 255,  82}, {165, 255,  81}, {166, 255,  80}, {167, 255,  79},
   {168, 255,  78}, {169, 255,  77}, {170, 255,  76}, {171, 255,  75}, {172, 255,  74},
   {172, 255,  74}, {173, 255,  73}, {174, 255,  72}, {175, 255,  71}, {176, 255,  70},
   {177, 255,  69}, {178, 255,  68}, {179, 255,  67}, {180, 255,  66}, {181, 255,  65},
   {181, 255,  65}, {182, 255,  64}, {183, 255,  63}, {184, 255,  62}, {185, 255,  61},
   {186, 255,  60}, {186, 255,  60}, {187, 255,  59}, {188, 255,  58}, {189, 255,  57},
   {190, 255,  56}, {191, 255,  55}, {191, 255,  55}, {192, 255,  54}, {193, 255,  53},
   {194, 255,  52}, {195, 255,  51}, {196, 255,  50}, {197, 255,  49}, {198, 255,  48},
   {198, 255,  48}, {199, 255,  47}, {200, 255,  46}, {201, 255,  45}, {202, 255,  44},
   {203, 255,  43}, {204, 255,  42}, {205, 255,  41}, {206, 255,  40}, {207, 255,  39},
   {207, 255,  39}, {208, 255,  38}, {209, 255,  37}, {210, 255,  36}, {211, 255,  35},
   {212, 255,  34}, {213, 255,  33}, {214, 255,  32}, {214, 255,  31}, {215, 255,  30},
   {216, 255,  30}, {217, 255,  29}, {218, 255,  28}, {218, 255,  27}, {219, 255,  26},
   {220, 255,  25}, {221, 255,  24}, {222, 255,  23}, {223, 255,  23}, {224, 255,  22},
   {224, 255,  21}, {225, 255,  20}, {226, 255,  19}, {227, 255,  18}, {228, 255,  18},
   {229, 255,  17}, {230, 255,  16}, {231, 255,  15}, {231, 255,  15}, {232, 255,  14},
   {232, 255,  13}, {233, 255,  13}, {234, 255,  12}, {234, 255,  11}, {235, 255,  11},
   {235, 255,  10}, {236, 255,  10}, {236, 255,   9}, {237, 255,   8}, {238, 254,   8},
   {238, 253,   7}, {239, 252,   6}, {240, 251,   5}, {241, 250,   5}, {242, 249,   4},
   {243, 248,   3}, {244, 247,   3}, {245, 246,   2}, {246, 246,   1}, {247, 245,   0},
   {247, 243,   0}, {248, 242,   0}, {249, 242,   0}, {250, 241,   0}, {250, 240,   0},
   {251, 239,   0}, {252, 238,   0}, {252, 237,   0}, {253, 236,   0}, {254, 235,   0},
   {255, 234,   0}, {255, 233,   0}, {255, 232,   0}, {255, 231,   0}, {255, 230,   0},
   {255, 229,   0}, {255, 228,   0}, {255, 227,   0}, {255, 226,   0}, {255, 225,   0},
   {255, 224,   0}, {255, 223,   0}, {255, 222,   0}, {255, 221,   0}, {255, 220,   0},
   {255, 219,   0}, {255, 218,   0}, {255, 217,   0}, {255, 216,   0}, {255, 215,   0},
   {255, 214,   0}, {255, 213,   0}, {255, 212,   0}, {255, 211,   0}, {255, 210,   0},
   {255, 209,   0}, {255, 208,   0}, {255, 207,   0}, {255, 206,   0}, {255, 205,   0},
   {255, 204,   0}, {255, 203,   0}, {255, 202,   0}, {255, 201,   0}, {255, 200,   0},
   {255, 199,   0}, {255, 198,   0}, {255, 197,   0}, {255, 196,   0}, {255, 195,   0},
   {255, 194,   0}, {255, 193,   0}, {255, 192,   0}, {255, 191,   0}, {255, 190,   0},
   {255, 189,   0}, {255, 188,   0}, {255, 187,   0}, {255, 186,   0}, {255, 185,   0},
   {255, 184,   0}, {255, 183,   0}, {255, 182,   0}, {255, 180,   0}, {255, 179,   0},
   {255, 178,   0}, {255, 177,   0}, {255, 176,   0}, {255, 176,   0}, {255, 175,   0},
   {255, 175,   0}, {255, 174,   0}, {255, 173,   0}, {255, 173,   0}, {255, 172,   0},
   {255, 171,   0}, {255, 171,   0}, {255, 170,   0}, {255, 169,   0}, {255, 168,   0},
   {255, 167,   0}, {255, 166,   0}, {255, 165,   0}, {255, 164,   0}, {255, 163,   0},
   {255, 162,   0}, {255, 161,   0}, {255, 160,   0}, {255, 159,   0}, {255, 158,   0},
   {255, 157,   0}, {255, 156,   0}, {255, 155,   0}, {255, 154,   0}, {255, 153,   0},
   {255, 152,   0}, {255, 151,   0}, {255, 150,   0}, {255, 150,   0}, {255, 149,   0},
   {255, 147,   0}, {255, 146,   0}, {255, 146,   0}, {255, 145,   0}, {255, 144,   0},
   {255, 143,   0}, {255, 142,   0}, {255, 141,   0}, {255, 140,   0}, {255, 139,   0},
   {255, 138,   0}, {255, 137,   0}, {255, 136,   0}, {255, 135,   0}, {255, 134,   0},
   {255, 133,   0}, {255, 132,   0}, {255, 131,   0}, {255, 130,   0}, {255, 129,   0},
   {255, 128,   0}, {255, 127,   0}, {255, 126,   0}, {255, 125,   0}, {255, 124,   0},
   {255, 123,   0}, {255, 122,   0}, {255, 121,   0}, {255, 120,   0}, {255, 119,   0},
   {255, 118,   0}, {255, 117,   0}, {255, 116,   0}, {255, 115,   0}, {255, 114,   0},
   {255, 113,   0}, {255, 112,   0}, {255, 111,   0}, {255, 109,   0}, {255, 108,   0},
   {255, 107,   0}, {255, 106,   0}, {255, 105,   0}, {255, 104,   0}, {255, 103,   0},
   {255, 102,   0}, {255, 101,   0}, {255, 100,   0}, {255,  99,   0}, {255,  98,   0},
   {255,  97,   0}, {255,  96,   0}, {255,  95,   0}, {255,  94,   0}, {255,  93,   0},
   {255,  92,   0}, {255,  91,   0}, {255,  91,   0}, {255,  90,   0}, {255,  90,   0},
   {255,  89,   0}, {255,  88,   0}, {255,  88,   0}, {255,  87,   0}, {255,  86,   0},
   {255,  86,   0}, {255,  85,   0}, {255,  84,   0}, {255,  83,   0}, {255,  82,   0},
   {255,  81,   0}, {255,  80,   0}, {255,  79,   0}, {255,  78,   0}, {255,  77,   0},
   {255,  76,   0}, {255,  75,   0}, {255,  74,   0}, {255,  73,   0}, {255,  72,   0},
   {255,  71,   0}, {255,  70,   0}, {255,  69,   0}, {255,  68,   0}, {255,  67,   0},
   {255,  66,   0}, {255,  65,   0}, {255,  64,   0}, {255,  63,   0}, {255,  62,   0},
   {255,  61,   0}, {255,  60,   0}, {255,  59,   0}, {255,  58,   0}, {255,  57,   0},
   {255,  56,   0}, {255,  55,   0}, {255,  54,   0}, {255,  54,   0}, {255,  53,   0},
   {255,  51,   0}, {255,  50,   0}, {255,  49,   0}, {255,  48,   0}, {255,  47,   0},
   {255,  46,   0}, {255,  45,   0}, {255,  44,   0}, {255,  43,   0}, {255,  42,   0},
   {255,  41,   0}, {255,  40,   0}, {255,  39,   0}, {255,  38,   0}, {255,  37,   0},
   {255,  36,   0}, {255,  35,   0}, {255,  34,   0}, {255,  33,   0}, {255,  32,   0},
   {255,  31,   0}, {255,  30,   0}, {255,  29,   0}, {255,  28,   0}, {255,  27,   0},
   {255,  26,   0}, {255,  25,   0}, {255,  24,   0}, {254,  23,   0}, {254,  22,   0},
   {254,  21,   0}, {254,  20,   0}, {254,  19,   0}, {254,  18,   0}, {253,  17,   0},
   {251,  16,   0}, {250,  15,   0}, {249,  14,   0}, {248,  13,   0}, {247,  12,   0},
   {246,  11,   0}, {244,  10,   0}, {243,   9,   0}, {242,   8,   0}, {241,   7,   0},
   {240,   6,   0}, {239,   6,   0}, {239,   5,   0}, {238,   4,   0}, {237,   4,   0},
   {236,   3,   0}, {235,   3,   0}, {234,   2,   0}, {234,   1,   0}, {233,   1,   0},
   {232,   0,   0}, {231,   0,   0}, {230,   0,   0}, {228,   0,   0}, {227,   0,   0},
   {226,   0,   0}, {225,   0,   0}, {223,   0,   0}, {222,   0,   0}, {221,   0,   0},
   {219,   0,   0}, {218,   0,   0}, {217,   0,   0}, {216,   0,   0}, {214,   0,   0},
   {213,   0,   0}, {212,   0,   0}, {211,   0,   0}, {209,   0,   0}, {208,   0,   0},
   {207,   0,   0}, {206,   0,   0}, {204,   0,   0}, {203,   0,   0}, {202,   0,   0},
   {201,   0,   0}, {200,   0,   0}, {198,   0,   0}, {197,   0,   0}, {196,   0,   0},
   {195,   0,   0}, {194,   0,   0}, {193,   0,   0}, {191,   0,   0}, {190,   0,   0},
   {189,   0,   0}, {188,   0,   0}, {186,   0,   0}, {185,   0,   0}, {184,   0,   0},
   {183,   0,   0}, {181,   0,   0}, {180,   0,   0}, {179,   0,   0}, {178,   0,   0},
   {176,   0,   0}, {175,   0,   0}, {174,   0,   0}, {173,   0,   0}, {171,   0,   0},
   {170,   0,   0}, {169,   0,   0}, {168,   0,   0}, {166,   0,   0}, {165,   0,   0},
   {164,   0,   0}, {163,   0,   0}, {161,   0,   0}, {160,   0,   0}, {159,   0,   0},
   {158,   0,   0}, {157,   0,   0}, {156,   0,   0}, {154,   0,   0}, {153,   0,   0},
   {152,   0,   0}, {151,   0,   0}, {150,   0,   0}, {148,   0,   0}, {147,   0,   0},
   {146,   0,   0}, {145,   0,   0}, {143,   0,   0}, {142,   0,   0}, {141,   0,   0},
   {140,   0,   0}, {138,   0,   0}, {137,   0,   0}, {136,   0,   0}, {135,   0,   0},
   {134,   0,   0}, {133,   0,   0}, {133,   0,   0}, {132,   0,   0}, {131,   0,   0},
   {130,   0,   0}, {129,   0,   0}, {129,   0,   0}, {128,   0,   0}, {127,   0,   0},
   {122,   0,   9}, {117,   0,  18}, {112,   0,  27}, {107,   0,  36}, {102,   0,  45}
};

const rgb_t prism_colormap[1000] = {
   {255,   0,   0}, {255,   2,   0}, {255,   4,   0}, {255,   6,   0}, {255,   8,   0},
   {255,  10,   0}, {255,  11,   0}, {255,  13,   0}, {255,  15,   0}, {255,  17,   0},
   {255,  19,   0}, {255,  21,   0}, {255,  23,   0}, {255,  25,   0}, {255,  27,   0},
   {255,  29,   0}, {255,  31,   0}, {255,  33,   0}, {255,  34,   0}, {255,  36,   0},
   {255,  38,   0}, {255,  40,   0}, {255,  42,   0}, {255,  44,   0}, {255,  46,   0},
   {255,  48,   0}, {255,  50,   0}, {255,  52,   0}, {255,  54,   0}, {255,  56,   0},
   {255,  57,   0}, {255,  59,   0}, {255,  61,   0}, {255,  63,   0}, {255,  65,   0},
   {255,  67,   0}, {255,  69,   0}, {255,  71,   0}, {255,  73,   0}, {255,  75,   0},
   {255,  77,   0}, {255,  78,   0}, {255,  80,   0}, {255,  82,   0}, {255,  84,   0},
   {255,  86,   0}, {255,  88,   0}, {255,  90,   0}, {255,  92,   0}, {255,  94,   0},
   {255,  96,   0}, {255,  98,   0}, {255, 100,   0}, {255, 101,   0}, {255, 103,   0},
   {255, 105,   0}, {255, 107,   0}, {255, 109,   0}, {255, 111,   0}, {255, 113,   0},
   {255, 115,   0}, {255, 117,   0}, {255, 119,   0}, {255, 121,   0}, {255, 123,   0},
   {255, 124,   0}, {255, 126,   0}, {255, 128,   0}, {255, 130,   0}, {255, 132,   0},
   {255, 134,   0}, {255, 136,   0}, {255, 138,   0}, {255, 140,   0}, {255, 142,   0},
   {255, 144,   0}, {255, 145,   0}, {255, 147,   0}, {255, 149,   0}, {255, 151,   0},
   {255, 153,   0}, {255, 155,   0}, {255, 157,   0}, {255, 159,   0}, {255, 161,   0},
   {255, 163,   0}, {255, 165,   0}, {255, 167,   0}, {255, 168,   0}, {255, 170,   0},
   {255, 172,   0}, {255, 174,   0}, {255, 176,   0}, {255, 178,   0}, {255, 180,   0},
   {255, 182,   0}, {255, 184,   0}, {255, 186,   0}, {255, 188,   0}, {255, 190,   0},
   {255, 191,   0}, {255, 193,   0}, {255, 195,   0}, {255, 197,   0}, {255, 199,   0},
   {255, 201,   0}, {255, 203,   0}, {255, 205,   0}, {255, 207,   0}, {255, 209,   0},
   {255, 211,   0}, {255, 212,   0}, {255, 214,   0}, {255, 216,   0}, {255, 218,   0},
   {255, 220,   0}, {255, 222,   0}, {255, 224,   0}, {255, 226,   0}, {255, 228,   0},
   {255, 230,   0}, {255, 232,   0}, {255, 234,   0}, {255, 235,   0}, {255, 237,   0},
   {255, 239,   0}, {255, 241,   0}, {255, 243,   0}, {255, 245,   0}, {255, 247,   0},
   {255, 249,   0}, {255, 251,   0}, {255, 253,   0}, {255, 255,   0}, {252, 255,   0},
   {248, 255,   0}, {244, 255,   0}, {240, 255,   0}, {237, 255,   0}, {233, 255,   0},
   {229, 255,   0}, {225, 255,   0}, {221, 255,   0}, {217, 255,   0}, {214, 255,   0},
   {210, 255,   0}, {206, 255,   0}, {202, 255,   0}, {198, 255,   0}, {195, 255,   0},
   {191, 255,   0}, {187, 255,   0}, {183, 255,   0}, {179, 255,   0}, {175, 255,   0},
   {172, 255,   0}, {168, 255,   0}, {164, 255,   0}, {160, 255,   0}, {156, 255,   0},
   {152, 255,   0}, {149, 255,   0}, {145, 255,   0}, {141, 255,   0}, {137, 255,   0},
   {133, 255,   0}, {129, 255,   0}, {126, 255,   0}, {122, 255,   0}, {118, 255,   0},
   {114, 255,   0}, {110, 255,   0}, {106, 255,   0}, {103, 255,   0}, { 99, 255,   0},
   { 95, 255,   0}, { 91, 255,   0}, { 87, 255,   0}, { 83, 255,   0}, { 80, 255,   0},
   { 76, 255,   0}, { 72, 255,   0}, { 68, 255,   0}, { 64, 255,   0}, { 60, 255,   0},
   { 57, 255,   0}, { 53, 255,   0}, { 49, 255,   0}, { 45, 255,   0}, { 41, 255,   0},
   { 38, 255,   0}, { 34, 255,   0}, { 30, 255,   0}, { 26, 255,   0}, { 22, 255,   0},
   { 18, 255,   0}, { 15, 255,   0}, { 11, 255,   0}, {  7, 255,   0}, {  3, 255,   0},
   {  0, 254,   1}, {  0, 250,   5}, {  0, 247,   8}, {  0, 243,  12}, {  0, 239,  16},
   {  0, 235,  20}, {  0, 231,  24}, {  0, 227,  28}, {  0, 224,  31}, {  0, 220,  35},
   {  0, 216,  39}, {  0, 212,  43}, {  0, 208,  47}, {  0, 204,  51}, {  0, 201,  54},
   {  0, 197,  58}, {  0, 193,  62}, {  0, 189,  66}, {  0, 185,  70}, {  0, 181,  74},
   {  0, 178,  77}, {  0, 174,  81}, {  0, 170,  85}, {  0, 166,  89}, {  0, 162,  93},
   {  0, 159,  96}, {  0, 155, 100}, {  0, 151, 104}, {  0, 147, 108}, {  0, 143, 112},
   {  0, 139, 116}, {  0, 136, 119}, {  0, 132, 123}, {  0, 128, 127}, {  0, 124, 131},
   {  0, 120, 135}, {  0, 116, 139}, {  0, 113, 142}, {  0, 109, 146}, {  0, 105, 150},
   {  0, 101, 154}, {  0,  97, 158}, {  0,  93, 162}, {  0,  90, 165}, {  0,  86, 169},
   {  0,  82, 173}, {  0,  78, 177}, {  0,  74, 181}, {  0,  70, 185}, {  0,  67, 188},
   {  0,  63, 192}, {  0,  59, 196}, {  0,  55, 200}, {  0,  51, 204}, {  0,  47, 208},
   {  0,  44, 211}, {  0,  40, 215}, {  0,  36, 219}, {  0,  32, 223}, {  0,  28, 227},
   {  0,  25, 230}, {  0,  21, 234}, {  0,  17, 238}, {  0,  13, 242}, {  0,   9, 246},
   {  0,   5, 250}, {  0,   2, 253}, {  2,   0, 255}, {  4,   0, 255}, {  7,   0, 255},
   {  9,   0, 255}, { 12,   0, 255}, { 14,   0, 255}, { 17,   0, 255}, { 19,   0, 255},
   { 22,   0, 255}, { 25,   0, 255}, { 27,   0, 255}, { 30,   0, 255}, { 32,   0, 255},
   { 35,   0, 255}, { 37,   0, 255}, { 40,   0, 255}, { 42,   0, 255}, { 45,   0, 255},
   { 47,   0, 255}, { 50,   0, 255}, { 53,   0, 255}, { 55,   0, 255}, { 58,   0, 255},
   { 60,   0, 255}, { 63,   0, 255}, { 65,   0, 255}, { 68,   0, 255}, { 70,   0, 255},
   { 73,   0, 255}, { 76,   0, 255}, { 78,   0, 255}, { 81,   0, 255}, { 83,   0, 255},
   { 86,   0, 255}, { 88,   0, 255}, { 91,   0, 255}, { 93,   0, 255}, { 96,   0, 255},
   { 99,   0, 255}, {101,   0, 255}, {104,   0, 255}, {106,   0, 255}, {109,   0, 255},
   {111,   0, 255}, {114,   0, 255}, {116,   0, 255}, {119,   0, 255}, {122,   0, 255},
   {124,   0, 255}, {127,   0, 255}, {129,   0, 255}, {132,   0, 255}, {134,   0, 255},
   {137,   0, 255}, {139,   0, 255}, {142,   0, 255}, {144,   0, 255}, {147,   0, 255},
   {150,   0, 255}, {152,   0, 255}, {155,   0, 255}, {157,   0, 255}, {160,   0, 255},
   {162,   0, 255}, {165,   0, 255}, {167,   0, 255}, {170,   0, 255}, {171,   0, 251},
   {173,   0, 247}, {174,   0, 244}, {175,   0, 240}, {176,   0, 236}, {178,   0, 232},
   {179,   0, 228}, {180,   0, 224}, {181,   0, 221}, {183,   0, 217}, {184,   0, 213},
   {185,   0, 209}, {187,   0, 205}, {188,   0, 201}, {189,   0, 198}, {190,   0, 194},
   {192,   0, 190}, {193,   0, 186}, {194,   0, 182}, {196,   0, 178}, {197,   0, 175},
   {198,   0, 171}, {199,   0, 167}, {201,   0, 163}, {202,   0, 159}, {203,   0, 155},
   {204,   0, 152}, {206,   0, 148}, {207,   0, 144}, {208,   0, 140}, {210,   0, 136},
   {211,   0, 132}, {212,   0, 129}, {213,   0, 125}, {215,   0, 121}, {216,   0, 117},
   {217,   0, 113}, {218,   0, 110}, {220,   0, 106}, {221,   0, 102}, {222,   0,  98},
   {224,   0,  94}, {225,   0,  90}, {226,   0,  87}, {227,   0,  83}, {229,   0,  79},
   {230,   0,  75}, {231,   0,  71}, {233,   0,  67}, {234,   0,  64}, {235,   0,  60},
   {236,   0,  56}, {238,   0,  52}, {239,   0,  48}, {240,   0,  44}, {241,   0,  41},
   {243,   0,  37}, {244,   0,  33}, {245,   0,  29}, {247,   0,  25}, {248,   0,  21},
   {249,   0,  18}, {250,   0,  14}, {252,   0,  10}, {253,   0,   6}, {254,   0,   2},
   {255,   1,   0}, {255,   3,   0}, {255,   5,   0}, {255,   7,   0}, {255,   8,   0},
   {255,  10,   0}, {255,  12,   0}, {255,  14,   0}, {255,  16,   0}, {255,  18,   0},
   {255,  20,   0}, {255,  22,   0}, {255,  24,   0}, {255,  26,   0}, {255,  28,   0},
   {255,  29,   0}, {255,  31,   0}, {255,  33,   0}, {255,  35,   0}, {255,  37,   0},
   {255,  39,   0}, {255,  41,   0}, {255,  43,   0}, {255,  45,   0}, {255,  47,   0},
   {255,  49,   0}, {255,  51,   0}, {255,  52,   0}, {255,  54,   0}, {255,  56,   0},
   {255,  58,   0}, {255,  60,   0}, {255,  62,   0}, {255,  64,   0}, {255,  66,   0},
   {255,  68,   0}, {255,  70,   0}, {255,  72,   0}, {255,  74,   0}, {255,  75,   0},
   {255,  77,   0}, {255,  79,   0}, {255,  81,   0}, {255,  83,   0}, {255,  85,   0},
   {255,  87,   0}, {255,  89,   0}, {255,  91,   0}, {255,  93,   0}, {255,  95,   0},
   {255,  96,   0}, {255,  98,   0}, {255, 100,   0}, {255, 102,   0}, {255, 104,   0},
   {255, 106,   0}, {255, 108,   0}, {255, 110,   0}, {255, 112,   0}, {255, 114,   0},
   {255, 116,   0}, {255, 118,   0}, {255, 119,   0}, {255, 121,   0}, {255, 123,   0},
   {255, 125,   0}, {255, 127,   0}, {255, 129,   0}, {255, 131,   0}, {255, 133,   0},
   {255, 135,   0}, {255, 137,   0}, {255, 139,   0}, {255, 141,   0}, {255, 142,   0},
   {255, 144,   0}, {255, 146,   0}, {255, 148,   0}, {255, 150,   0}, {255, 152,   0},
   {255, 154,   0}, {255, 156,   0}, {255, 158,   0}, {255, 160,   0}, {255, 162,   0},
   {255, 163,   0}, {255, 165,   0}, {255, 167,   0}, {255, 169,   0}, {255, 171,   0},
   {255, 173,   0}, {255, 175,   0}, {255, 177,   0}, {255, 179,   0}, {255, 181,   0},
   {255, 183,   0}, {255, 185,   0}, {255, 186,   0}, {255, 188,   0}, {255, 190,   0},
   {255, 192,   0}, {255, 194,   0}, {255, 196,   0}, {255, 198,   0}, {255, 200,   0},
   {255, 202,   0}, {255, 204,   0}, {255, 206,   0}, {255, 208,   0}, {255, 209,   0},
   {255, 211,   0}, {255, 213,   0}, {255, 215,   0}, {255, 217,   0}, {255, 219,   0},
   {255, 221,   0}, {255, 223,   0}, {255, 225,   0}, {255, 227,   0}, {255, 229,   0},
   {255, 230,   0}, {255, 232,   0}, {255, 234,   0}, {255, 236,   0}, {255, 238,   0},
   {255, 240,   0}, {255, 242,   0}, {255, 244,   0}, {255, 246,   0}, {255, 248,   0},
   {255, 250,   0}, {255, 252,   0}, {255, 253,   0}, {254, 255,   0}, {250, 255,   0},
   {247, 255,   0}, {243, 255,   0}, {239, 255,   0}, {235, 255,   0}, {231, 255,   0},
   {227, 255,   0}, {224, 255,   0}, {220, 255,   0}, {216, 255,   0}, {212, 255,   0},
   {208, 255,   0}, {204, 255,   0}, {201, 255,   0}, {197, 255,   0}, {193, 255,   0},
   {189, 255,   0}, {185, 255,   0}, {181, 255,   0}, {178, 255,   0}, {174, 255,   0},
   {170, 255,   0}, {166, 255,   0}, {162, 255,   0}, {159, 255,   0}, {155, 255,   0},
   {151, 255,   0}, {147, 255,   0}, {143, 255,   0}, {139, 255,   0}, {136, 255,   0},
   {132, 255,   0}, {128, 255,   0}, {124, 255,   0}, {120, 255,   0}, {116, 255,   0},
   {113, 255,   0}, {109, 255,   0}, {105, 255,   0}, {101, 255,   0}, { 97, 255,   0},
   { 93, 255,   0}, { 90, 255,   0}, { 86, 255,   0}, { 82, 255,   0}, { 78, 255,   0},
   { 74, 255,   0}, { 70, 255,   0}, { 67, 255,   0}, { 63, 255,   0}, { 59, 255,   0},
   { 55, 255,   0}, { 51, 255,   0}, { 47, 255,   0}, { 44, 255,   0}, { 40, 255,   0},
   { 36, 255,   0}, { 32, 255,   0}, { 28, 255,   0}, { 25, 255,   0}, { 21, 255,   0},
   { 17, 255,   0}, { 13, 255,   0}, {  9, 255,   0}, {  5, 255,   0}, {  2, 255,   0},
   {  0, 253,   2}, {  0, 249,   6}, {  0, 245,  10}, {  0, 241,  14}, {  0, 237,  18},
   {  0, 234,  21}, {  0, 230,  25}, {  0, 226,  29}, {  0, 222,  33}, {  0, 218,  37},
   {  0, 214,  41}, {  0, 211,  44}, {  0, 207,  48}, {  0, 203,  52}, {  0, 199,  56},
   {  0, 195,  60}, {  0, 191,  64}, {  0, 188,  67}, {  0, 184,  71}, {  0, 180,  75},
   {  0, 176,  79}, {  0, 172,  83}, {  0, 168,  87}, {  0, 165,  90}, {  0, 161,  94},
   {  0, 157,  98}, {  0, 153, 102}, {  0, 149, 106}, {  0, 145, 110}, {  0, 142, 113},
   {  0, 138, 117}, {  0, 134, 121}, {  0, 130, 125}, {  0, 126, 129}, {  0, 123, 132},
   {  0, 119, 136}, {  0, 115, 140}, {  0, 111, 144}, {  0, 107, 148}, {  0, 103, 152},
   {  0, 100, 155}, {  0,  96, 159}, {  0,  92, 163}, {  0,  88, 167}, {  0,  84, 171},
   {  0,  80, 175}, {  0,  77, 178}, {  0,  73, 182}, {  0,  69, 186}, {  0,  65, 190},
   {  0,  61, 194}, {  0,  57, 198}, {  0,  54, 201}, {  0,  50, 205}, {  0,  46, 209},
   {  0,  42, 213}, {  0,  38, 217}, {  0,  34, 221}, {  0,  31, 224}, {  0,  27, 228},
   {  0,  23, 232}, {  0,  19, 236}, {  0,  15, 240}, {  0,  11, 244}, {  0,   8, 247},
   {  0,   4, 251}, {  0,   0, 255}, {  3,   0, 255}, {  5,   0, 255}, {  8,   0, 255},
   { 10,   0, 255}, { 13,   0, 255}, { 15,   0, 255}, { 18,   0, 255}, { 20,   0, 255},
   { 23,   0, 255}, { 26,   0, 255}, { 28,   0, 255}, { 31,   0, 255}, { 33,   0, 255},
   { 36,   0, 255}, { 38,   0, 255}, { 41,   0, 255}, { 43,   0, 255}, { 46,   0, 255},
   { 48,   0, 255}, { 51,   0, 255}, { 54,   0, 255}, { 56,   0, 255}, { 59,   0, 255},
   { 61,   0, 255}, { 64,   0, 255}, { 66,   0, 255}, { 69,   0, 255}, { 71,   0, 255},
   { 74,   0, 255}, { 77,   0, 255}, { 79,   0, 255}, { 82,   0, 255}, { 84,   0, 255},
   { 87,   0, 255}, { 89,   0, 255}, { 92,   0, 255}, { 94,   0, 255}, { 97,   0, 255},
   {100,   0, 255}, {102,   0, 255}, {105,   0, 255}, {107,   0, 255}, {110,   0, 255},
   {112,   0, 255}, {115,   0, 255}, {117,   0, 255}, {120,   0, 255}, {123,   0, 255},
   {125,   0, 255}, {128,   0, 255}, {130,   0, 255}, {133,   0, 255}, {135,   0, 255},
   {138,   0, 255}, {140,   0, 255}, {143,   0, 255}, {145,   0, 255}, {148,   0, 255},
   {151,   0, 255}, {153,   0, 255}, {156,   0, 255}, {158,   0, 255}, {161,   0, 255},
   {163,   0, 255}, {166,   0, 255}, {168,   0, 255}, {171,   0, 253}, {172,   0, 250},
   {173,   0, 246}, {174,   0, 242}, {176,   0, 238}, {177,   0, 234}, {178,   0, 230},
   {179,   0, 227}, {181,   0, 223}, {182,   0, 219}, {183,   0, 215}, {185,   0, 211},
   {186,   0, 208}, {187,   0, 204}, {188,   0, 200}, {190,   0, 196}, {191,   0, 192},
   {192,   0, 188}, {193,   0, 185}, {195,   0, 181}, {196,   0, 177}, {197,   0, 173},
   {199,   0, 169}, {200,   0, 165}, {201,   0, 162}, {202,   0, 158}, {204,   0, 154},
   {205,   0, 150}, {206,   0, 146}, {208,   0, 142}, {209,   0, 139}, {210,   0, 135},
   {211,   0, 131}, {213,   0, 127}, {214,   0, 123}, {215,   0, 119}, {216,   0, 116},
   {218,   0, 112}, {219,   0, 108}, {220,   0, 104}, {222,   0, 100}, {223,   0,  96},
   {224,   0,  93}, {225,   0,  89}, {227,   0,  85}, {228,   0,  81}, {229,   0,  77},
   {230,   0,  74}, {232,   0,  70}, {233,   0,  66}, {234,   0,  62}, {236,   0,  58},
   {237,   0,  54}, {238,   0,  51}, {239,   0,  47}, {241,   0,  43}, {242,   0,  39},
   {243,   0,  35}, {245,   0,  31}, {246,   0,  28}, {247,   0,  24}, {248,   0,  20},
   {250,   0,  16}, {251,   0,  12}, {252,   0,   8}, {253,   0,   5}, {255,   0,   1},
   {255,   2,   0}, {255,   3,   0}, {255,   5,   0}, {255,   7,   0}, {255,   9,   0},
   {255,  11,   0}, {255,  13,   0}, {255,  15,   0}, {255,  17,   0}, {255,  19,   0},
   {255,  21,   0}, {255,  23,   0}, {255,  25,   0}, {255,  26,   0}, {255,  28,   0},
   {255,  30,   0}, {255,  32,   0}, {255,  34,   0}, {255,  36,   0}, {255,  38,   0},
   {255,  40,   0}, {255,  42,   0}, {255,  44,   0}, {255,  46,   0}, {255,  47,   0},
   {255,  49,   0}, {255,  51,   0}, {255,  53,   0}, {255,  55,   0}, {255,  57,   0},
   {255,  59,   0}, {255,  61,   0}, {255,  63,   0}, {255,  65,   0}, {255,  67,   0},
   {255,  69,   0}, {255,  70,   0}, {255,  72,   0}, {255,  74,   0}, {255,  76,   0},
   {255,  78,   0}, {255,  80,   0}, {255,  82,   0}, {255,  84,   0}, {255,  86,   0},
   {255,  88,   0}, {255,  90,   0}, {255,  92,   0}, {255,  93,   0}, {255,  95,   0},
   {255,  97,   0}, {255,  99,   0}, {255, 101,   0}, {255, 103,   0}, {255, 105,   0},
   {255, 107,   0}, {255, 109,   0}, {255, 111,   0}, {255, 113,   0}, {255, 114,   0},
   {255, 116,   0}, {255, 118,   0}, {255, 120,   0}, {255, 122,   0}, {255, 124,   0},
   {255, 126,   0}, {255, 128,   0}, {255, 130,   0}, {255, 132,   0}, {255, 134,   0},
   {255, 136,   0}, {255, 137,   0}, {255, 139,   0}, {255, 141,   0}, {255, 143,   0},
   {255, 145,   0}, {255, 147,   0}, {255, 149,   0}, {255, 151,   0}, {255, 153,   0},
   {255, 155,   0}, {255, 157,   0}, {255, 159,   0}, {255, 160,   0}, {255, 162,   0},
   {255, 164,   0}, {255, 166,   0}, {255, 168,   0}, {255, 170,   0}, {255, 172,   0},
   {255, 174,   0}, {255, 176,   0}, {255, 178,   0}, {255, 180,   0}, {255, 181,   0},
   {255, 183,   0}, {255, 185,   0}, {255, 187,   0}, {255, 189,   0}, {255, 191,   0},
   {255, 193,   0}, {255, 195,   0}, {255, 197,   0}, {255, 199,   0}, {255, 201,   0},
   {255, 203,   0}, {255, 204,   0}, {255, 206,   0}, {255, 208,   0}, {255, 210,   0},
   {255, 212,   0}, {255, 214,   0}, {255, 216,   0}, {255, 218,   0}, {255, 220,   0},
   {255, 222,   0}, {255, 224,   0}, {255, 226,   0}, {255, 227,   0}, {255, 229,   0},
   {255, 231,   0}, {255, 233,   0}, {255, 235,   0}, {255, 237,   0}, {255, 239,   0},
   {255, 241,   0}, {255, 243,   0}, {255, 245,   0}, {255, 247,   0}, {255, 248,   0},
   {255, 250,   0}, {255, 252,   0}, {255, 254,   0}, {253, 255,   0}, {249, 255,   0},
   {245, 255,   0}, {241, 255,   0}, {237, 255,   0}, {234, 255,   0}, {230, 255,   0},
   {226, 255,   0}, {222, 255,   0}, {218, 255,   0}, {214, 255,   0}, {211, 255,   0},
   {207, 255,   0}, {203, 255,   0}, {199, 255,   0}, {195, 255,   0}, {191, 255,   0},
   {188, 255,   0}, {184, 255,   0}, {180, 255,   0}, {176, 255,   0}, {172, 255,   0},
   {168, 255,   0}, {165, 255,   0}, {161, 255,   0}, {157, 255,   0}, {153, 255,   0},
   {149, 255,   0}, {145, 255,   0}, {142, 255,   0}, {138, 255,   0}, {134, 255,   0},
   {130, 255,   0}, {126, 255,   0}, {123, 255,   0}, {119, 255,   0}, {115, 255,   0},
   {111, 255,   0}, {107, 255,   0}, {103, 255,   0}, {100, 255,   0}, { 96, 255,   0},
   { 92, 255,   0}, { 88, 255,   0}, { 84, 255,   0}, { 80, 255,   0}, { 77, 255,   0},
   { 73, 255,   0}, { 69, 255,   0}, { 65, 255,   0}, { 61, 255,   0}, { 57, 255,   0},
   { 54, 255,   0}, { 50, 255,   0}, { 46, 255,   0}, { 42, 255,   0}, { 38, 255,   0},
   { 34, 255,   0}, { 31, 255,   0}, { 27, 255,   0}, { 23, 255,   0}, { 19, 255,   0},
   { 15, 255,   0}, { 11, 255,   0}, {  8, 255,   0}, {  4, 255,   0}, {  0, 255,   0}
};

const rgb_t vga_colormap[1000] = {
   {255, 255, 255}, {254, 254, 254}, {253, 253, 253}, {252, 252, 252}, {251, 251, 251},
   {250, 250, 250}, {249, 249, 249}, {248, 248, 248}, {247, 247, 247}, {246, 246, 246},
   {245, 245, 245}, {244, 244, 244}, {244, 244, 244}, {243, 243, 243}, {242, 242, 242},
   {241, 241, 241}, {240, 240, 240}, {239, 239, 239}, {238, 238, 238}, {237, 237, 237},
   {236, 236, 236}, {235, 235, 235}, {234, 234, 234}, {233, 233, 233}, {232, 232, 232},
   {231, 231, 231}, {230, 230, 230}, {229, 229, 229}, {228, 228, 228}, {227, 227, 227},
   {226, 226, 226}, {225, 225, 225}, {224, 224, 224}, {223, 223, 223}, {222, 222, 222},
   {221, 221, 221}, {221, 221, 221}, {220, 220, 220}, {219, 219, 219}, {218, 218, 218},
   {217, 217, 217}, {216, 216, 216}, {215, 215, 215}, {214, 214, 214}, {213, 213, 213},
   {212, 212, 212}, {211, 211, 211}, {210, 210, 210}, {209, 209, 209}, {208, 208, 208},
   {207, 207, 207}, {206, 206, 206}, {205, 205, 205}, {204, 204, 204}, {203, 203, 203},
   {202, 202, 202}, {201, 201, 201}, {200, 200, 200}, {199, 199, 199}, {199, 199, 199},
   {198, 198, 198}, {197, 197, 197}, {196, 196, 196}, {195, 195, 195}, {194, 194, 194},
   {193, 193, 193}, {192, 192, 192}, {192, 190, 190}, {193, 187, 187}, {194, 184, 184},
   {195, 181, 181}, {195, 179, 179}, {196, 176, 176}, {197, 173, 173}, {198, 170, 170},
   {199, 167, 167}, {200, 164, 164}, {201, 161, 161}, {202, 159, 159}, {203, 156, 156},
   {204, 153, 153}, {205, 150, 150}, {206, 147, 147}, {207, 144, 144}, {208, 141, 141},
   {209, 138, 138}, {210, 136, 136}, {211, 133, 133}, {212, 130, 130}, {213, 127, 127},
   {214, 124, 124}, {215, 121, 121}, {216, 118, 118}, {217, 115, 115}, {217, 113, 113},
   {218, 110, 110}, {219, 107, 107}, {220, 104, 104}, {221, 101, 101}, {222,  98,  98},
   {223,  95,  95}, {224,  92,  92}, {225,  90,  90}, {226,  87,  87}, {227,  84,  84},
   {228,  81,  81}, {229,  78,  78}, {230,  75,  75}, {231,  72,  72}, {232,  69,  69},
   {233,  67,  67}, {234,  64,  64}, {235,  61,  61}, {236,  58,  58}, {237,  55,  55},
   {238,  52,  52}, {239,  49,  49}, {239,  47,  47}, {240,  44,  44}, {241,  41,  41},
   {242,  38,  38}, {243,  35,  35}, {244,  32,  32}, {245,  29,  29}, {246,  26,  26},
   {247,  24,  24}, {248,  21,  21}, {249,  18,  18}, {250,  15,  15}, {251,  12,  12},
   {252,   9,   9}, {253,   6,   6}, {254,   3,   3}, {255,   1,   1}, {255,   3,   0},
   {255,   7,   0}, {255,  11,   0}, {255,  15,   0}, {255,  18,   0}, {255,  22,   0},
   {255,  26,   0}, {255,  30,   0}, {255,  34,   0}, {255,  38,   0}, {255,  41,   0},
   {255,  45,   0}, {255,  49,   0}, {255,  53,   0}, {255,  57,   0}, {255,  60,   0},
   {255,  64,   0}, {255,  68,   0}, {255,  72,   0}, {255,  76,   0}, {255,  80,   0},
   {255,  83,   0}, {255,  87,   0}, {255,  91,   0}, {255,  95,   0}, {255,  99,   0},
   {255, 103,   0}, {255, 106,   0}, {255, 110,   0}, {255, 114,   0}, {255, 118,   0},
   {255, 122,   0}, {255, 126,   0}, {255, 129,   0}, {255, 133,   0}, {255, 137,   0},
   {255, 141,   0}, {255, 145,   0}, {255, 149,   0}, {255, 152,   0}, {255, 156,   0},
   {255, 160,   0}, {255, 164,   0}, {255, 168,   0}, {255, 172,   0}, {255, 175,   0},
   {255, 179,   0}, {255, 183,   0}, {255, 187,   0}, {255, 191,   0}, {255, 195,   0},
   {255, 198,   0}, {255, 202,   0}, {255, 206,   0}, {255, 210,   0}, {255, 214,   0},
   {255, 217,   0}, {255, 221,   0}, {255, 225,   0}, {255, 229,   0}, {255, 233,   0},
   {255, 237,   0}, {255, 240,   0}, {255, 244,   0}, {255, 248,   0}, {255, 252,   0},
   {254, 255,   0}, {250, 255,   0}, {247, 255,   0}, {243, 255,   0}, {239, 255,   0},
   {235, 255,   0}, {231, 255,   0}, {227, 255,   0}, {224, 255,   0}, {220, 255,   0},
   {216, 255,   0}, {212, 255,   0}, {208, 255,   0}, {204, 255,   0}, {201, 255,   0},
   {197, 255,   0}, {193, 255,   0}, {189, 255,   0}, {185, 255,   0}, {181, 255,   0},
   {178, 255,   0}, {174, 255,   0}, {170, 255,   0}, {166, 255,   0}, {162, 255,   0},
   {159, 255,   0}, {155, 255,   0}, {151, 255,   0}, {147, 255,   0}, {143, 255,   0},
   {139, 255,   0}, {136, 255,   0}, {132, 255,   0}, {128, 255,   0}, {124, 255,   0},
   {120, 255,   0}, {116, 255,   0}, {113, 255,   0}, {109, 255,   0}, {105, 255,   0},
   {101, 255,   0}, { 97, 255,   0}, { 93, 255,   0}, { 90, 255,   0}, { 86, 255,   0},
   { 82, 255,   0}, { 78, 255,   0}, { 74, 255,   0}, { 70, 255,   0}, { 67, 255,   0},
   { 63, 255,   0}, { 59, 255,   0}, { 55, 255,   0}, { 51, 255,   0}, { 47, 255,   0},
   { 44, 255,   0}, { 40, 255,   0}, { 36, 255,   0}, { 32, 255,   0}, { 28, 255,   0},
   { 25, 255,   0}, { 21, 255,   0}, { 17, 255,   0}, { 13, 255,   0}, {  9, 255,   0},
   {  5, 255,   0}, {  2, 255,   0}, {  0, 255,   2}, {  0, 255,   6}, {  0, 255,  10},
   {  0, 255,  14}, {  0, 255,  18}, {  0, 255,  21}, {  0, 255,  25}, {  0, 255,  29},
   {  0, 255,  33}, {  0, 255,  37}, {  0, 255,  41}, {  0, 255,  44}, {  0, 255,  48},
   {  0, 255,  52}, {  0, 255,  56}, {  0, 255,  60}, {  0, 255,  64}, {  0, 255,  67},
   {  0, 255,  71}, {  0, 255,  75}, {  0, 255,  79}, {  0, 255,  83}, {  0, 255,  87},
   {  0, 255,  90}, {  0, 255,  94}, {  0, 255,  98}, {  0, 255, 102}, {  0, 255, 106},
   {  0, 255, 110}, {  0, 255, 113}, {  0, 255, 117}, {  0, 255, 121}, {  0, 255, 125},
   {  0, 255, 129}, {  0, 255, 132}, {  0, 255, 136}, {  0, 255, 140}, {  0, 255, 144},
   {  0, 255, 148}, {  0, 255, 152}, {  0, 255, 155}, {  0, 255, 159}, {  0, 255, 163},
   {  0, 255, 167}, {  0, 255, 171}, {  0, 255, 175}, {  0, 255, 178}, {  0, 255, 182},
   {  0, 255, 186}, {  0, 255, 190}, {  0, 255, 194}, {  0, 255, 198}, {  0, 255, 201},
   {  0, 255, 205}, {  0, 255, 209}, {  0, 255, 213}, {  0, 255, 217}, {  0, 255, 221},
   {  0, 255, 224}, {  0, 255, 228}, {  0, 255, 232}, {  0, 255, 236}, {  0, 255, 240},
   {  0, 255, 244}, {  0, 255, 247}, {  0, 255, 251}, {  0, 255, 255}, {  0, 251, 255},
   {  0, 247, 255}, {  0, 244, 255}, {  0, 240, 255}, {  0, 236, 255}, {  0, 232, 255},
   {  0, 228, 255}, {  0, 224, 255}, {  0, 221, 255}, {  0, 217, 255}, {  0, 213, 255},
   {  0, 209, 255}, {  0, 205, 255}, {  0, 201, 255}, {  0, 198, 255}, {  0, 194, 255},
   {  0, 190, 255}, {  0, 186, 255}, {  0, 182, 255}, {  0, 178, 255}, {  0, 175, 255},
   {  0, 171, 255}, {  0, 167, 255}, {  0, 163, 255}, {  0, 159, 255}, {  0, 155, 255},
   {  0, 152, 255}, {  0, 148, 255}, {  0, 144, 255}, {  0, 140, 255}, {  0, 136, 255},
   {  0, 132, 255}, {  0, 129, 255}, {  0, 125, 255}, {  0, 121, 255}, {  0, 117, 255},
   {  0, 113, 255}, {  0, 110, 255}, {  0, 106, 255}, {  0, 102, 255}, {  0,  98, 255},
   {  0,  94, 255}, {  0,  90, 255}, {  0,  87, 255}, {  0,  83, 255}, {  0,  79, 255},
   {  0,  75, 255}, {  0,  71, 255}, {  0,  67, 255}, {  0,  64, 255}, {  0,  60, 255},
   {  0,  56, 255}, {  0,  52, 255}, {  0,  48, 255}, {  0,  44, 255}, {  0,  41, 255},
   {  0,  37, 255}, {  0,  33, 255}, {  0,  29, 255}, {  0,  25, 255}, {  0,  21, 255},
   {  0,  18, 255}, {  0,  14, 255}, {  0,  10, 255}, {  0,   6, 255}, {  0,   2, 255},
   {  2,   0, 255}, {  5,   0, 255}, {  9,   0, 255}, { 13,   0, 255}, { 17,   0, 255},
   { 21,   0, 255}, { 25,   0, 255}, { 28,   0, 255}, { 32,   0, 255}, { 36,   0, 255},
   { 40,   0, 255}, { 44,   0, 255}, { 47,   0, 255}, { 51,   0, 255}, { 55,   0, 255},
   { 59,   0, 255}, { 63,   0, 255}, { 67,   0, 255}, { 70,   0, 255}, { 74,   0, 255},
   { 78,   0, 255}, { 82,   0, 255}, { 86,   0, 255}, { 90,   0, 255}, { 93,   0, 255},
   { 97,   0, 255}, {101,   0, 255}, {105,   0, 255}, {109,   0, 255}, {113,   0, 255},
   {116,   0, 255}, {120,   0, 255}, {124,   0, 255}, {128,   0, 255}, {132,   0, 255},
   {136,   0, 255}, {139,   0, 255}, {143,   0, 255}, {147,   0, 255}, {151,   0, 255},
   {155,   0, 255}, {159,   0, 255}, {162,   0, 255}, {166,   0, 255}, {170,   0, 255},
   {174,   0, 255}, {178,   0, 255}, {181,   0, 255}, {185,   0, 255}, {189,   0, 255},
   {193,   0, 255}, {197,   0, 255}, {201,   0, 255}, {204,   0, 255}, {208,   0, 255},
   {212,   0, 255}, {216,   0, 255}, {220,   0, 255}, {224,   0, 255}, {227,   0, 255},
   {231,   0, 255}, {235,   0, 255}, {239,   0, 255}, {243,   0, 255}, {247,   0, 255},
   {250,   0, 255}, {254,   0, 255}, {252,   0, 252}, {248,   0, 248}, {244,   0, 244},
   {240,   0, 240}, {237,   0, 237}, {233,   0, 233}, {229,   0, 229}, {225,   0, 225},
   {221,   0, 221}, {217,   0, 217}, {214,   0, 214}, {210,   0, 210}, {206,   0, 206},
   {202,   0, 202}, {198,   0, 198}, {195,   0, 195}, {191,   0, 191}, {187,   0, 187},
   {183,   0, 183}, {179,   0, 179}, {175,   0, 175}, {172,   0, 172}, {168,   0, 168},
   {164,   0, 164}, {160,   0, 160}, {156,   0, 156}, {152,   0, 152}, {149,   0, 149},
   {145,   0, 145}, {141,   0, 141}, {137,   0, 137}, {133,   0, 133}, {129,   0, 129},
   {126,   0, 126}, {122,   0, 122}, {118,   0, 118}, {114,   0, 114}, {110,   0, 110},
   {106,   0, 106}, {103,   0, 103}, { 99,   0,  99}, { 95,   0,  95}, { 91,   0,  91},
   { 87,   0,  87}, { 83,   0,  83}, { 80,   0,  80}, { 76,   0,  76}, { 72,   0,  72},
   { 68,   0,  68}, { 64,   0,  64}, { 60,   0,  60}, { 57,   0,  57}, { 53,   0,  53},
   { 49,   0,  49}, { 45,   0,  45}, { 41,   0,  41}, { 38,   0,  38}, { 34,   0,  34},
   { 30,   0,  30}, { 26,   0,  26}, { 22,   0,  22}, { 18,   0,  18}, { 15,   0,  15},
   { 11,   0,  11}, {  7,   0,   7}, {  3,   0,   3}, {  0,   0,   0}, {  2,   2,   2},
   {  4,   4,   4}, {  6,   6,   6}, {  8,   8,   8}, { 10,  10,  10}, { 12,  12,  12},
   { 14,  14,  14}, { 16,  16,  16}, { 18,  18,  18}, { 20,  20,  20}, { 21,  21,  21},
   { 23,  23,  23}, { 25,  25,  25}, { 27,  27,  27}, { 29,  29,  29}, { 31,  31,  31},
   { 33,  33,  33}, { 35,  35,  35}, { 37,  37,  37}, { 39,  39,  39}, { 41,  41,  41},
   { 43,  43,  43}, { 44,  44,  44}, { 46,  46,  46}, { 48,  48,  48}, { 50,  50,  50},
   { 52,  52,  52}, { 54,  54,  54}, { 56,  56,  56}, { 58,  58,  58}, { 60,  60,  60},
   { 62,  62,  62}, { 64,  64,  64}, { 65,  65,  65}, { 67,  67,  67}, { 69,  69,  69},
   { 71,  71,  71}, { 73,  73,  73}, { 75,  75,  75}, { 77,  77,  77}, { 79,  79,  79},
   { 81,  81,  81}, { 83,  83,  83}, { 85,  85,  85}, { 87,  87,  87}, { 88,  88,  88},
   { 90,  90,  90}, { 92,  92,  92}, { 94,  94,  94}, { 96,  96,  96}, { 98,  98,  98},
   {100, 100, 100}, {102, 102, 102}, {104, 104, 104}, {106, 106, 106}, {108, 108, 108},
   {110, 110, 110}, {111, 111, 111}, {113, 113, 113}, {115, 115, 115}, {117, 117, 117},
   {119, 119, 119}, {121, 121, 121}, {123, 123, 123}, {125, 125, 125}, {127, 127, 127},
   {128, 126, 126}, {128, 124, 124}, {128, 123, 123}, {128, 121, 121}, {128, 119, 119},
   {128, 117, 117}, {128, 115, 115}, {128, 113, 113}, {128, 111, 111}, {128, 109, 109},
   {128, 107, 107}, {128, 105, 105}, {128, 103, 103}, {128, 101, 101}, {128, 100, 100},
   {128,  98,  98}, {128,  96,  96}, {128,  94,  94}, {128,  92,  92}, {128,  90,  90},
   {128,  88,  88}, {128,  86,  86}, {128,  84,  84}, {128,  82,  82}, {128,  80,  80},
   {128,  78,  78}, {128,  77,  77}, {128,  75,  75}, {128,  73,  73}, {128,  71,  71},
   {128,  69,  69}, {128,  67,  67}, {128,  65,  65}, {128,  63,  63}, {128,  61,  61},
   {128,  59,  59}, {128,  57,  57}, {128,  56,  56}, {128,  54,  54}, {128,  52,  52},
   {128,  50,  50}, {128,  48,  48}, {128,  46,  46}, {128,  44,  44}, {128,  42,  42},
   {128,  40,  40}, {128,  38,  38}, {128,  36,  36}, {128,  34,  34}, {128,  33,  33},
   {128,  31,  31}, {128,  29,  29}, {128,  27,  27}, {128,  25,  25}, {128,  23,  23},
   {128,  21,  21}, {128,  19,  19}, {128,  17,  17}, {128,  15,  15}, {128,  13,  13},
   {128,  11,  11}, {128,  10,  10}, {128,   8,   8}, {128,   6,   6}, {128,   4,   4},
   {128,   2,   2}, {128,   0,   0}, {128,   2,   0}, {128,   4,   0}, {128,   6,   0},
   {128,   8,   0}, {128,  10,   0}, {128,  11,   0}, {128,  13,   0}, {128,  15,   0},
   {128,  17,   0}, {128,  19,   0}, {128,  21,   0}, {128,  23,   0}, {128,  25,   0},
   {128,  27,   0}, {128,  29,   0}, {128,  31,   0}, {128,  33,   0}, {128,  34,   0},
   {128,  36,   0}, {128,  38,   0}, {128,  40,   0}, {128,  42,   0}, {128,  44,   0},
   {128,  46,   0}, {128,  48,   0}, {128,  50,   0}, {128,  52,   0}, {128,  54,   0},
   {128,  56,   0}, {128,  57,   0}, {128,  59,   0}, {128,  61,   0}, {128,  63,   0},
   {128,  65,   0}, {128,  67,   0}, {128,  69,   0}, {128,  71,   0}, {128,  73,   0},
   {128,  75,   0}, {128,  77,   0}, {128,  78,   0}, {128,  80,   0}, {128,  82,   0},
   {128,  84,   0}, {128,  86,   0}, {128,  88,   0}, {128,  90,   0}, {128,  92,   0},
   {128,  94,   0}, {128,  96,   0}, {128,  98,   0}, {128, 100,   0}, {128, 101,   0},
   {128, 103,   0}, {128, 105,   0}, {128, 107,   0}, {128, 109,   0}, {128, 111,   0},
   {128, 113,   0}, {128, 115,   0}, {128, 117,   0}, {128, 119,   0}, {128, 121,   0},
   {128, 123,   0}, {128, 124,   0}, {128, 126,   0}, {127, 128,   0}, {125, 128,   0},
   {123, 128,   0}, {121, 128,   0}, {119, 128,   0}, {117, 128,   0}, {115, 128,   0},
   {113, 128,   0}, {111, 128,   0}, {110, 128,   0}, {108, 128,   0}, {106, 128,   0},
   {104, 128,   0}, {102, 128,   0}, {100, 128,   0}, { 98, 128,   0}, { 96, 128,   0},
   { 94, 128,   0}, { 92, 128,   0}, { 90, 128,   0}, { 88, 128,   0}, { 87, 128,   0},
   { 85, 128,   0}, { 83, 128,   0}, { 81, 128,   0}, { 79, 128,   0}, { 77, 128,   0},
   { 75, 128,   0}, { 73, 128,   0}, { 71, 128,   0}, { 69, 128,   0}, { 67, 128,   0},
   { 65, 128,   0}, { 64, 128,   0}, { 62, 128,   0}, { 60, 128,   0}, { 58, 128,   0},
   { 56, 128,   0}, { 54, 128,   0}, { 52, 128,   0}, { 50, 128,   0}, { 48, 128,   0},
   { 46, 128,   0}, { 44, 128,   0}, { 43, 128,   0}, { 41, 128,   0}, { 39, 128,   0},
   { 37, 128,   0}, { 35, 128,   0}, { 33, 128,   0}, { 31, 128,   0}, { 29, 128,   0},
   { 27, 128,   0}, { 25, 128,   0}, { 23, 128,   0}, { 21, 128,   0}, { 20, 128,   0},
   { 18, 128,   0}, { 16, 128,   0}, { 14, 128,   0}, { 12, 128,   0}, { 10, 128,   0},
   {  8, 128,   0}, {  6, 128,   0}, {  4, 128,   0}, {  2, 128,   0}, {  0, 128,   0},
   {  0, 128,   2}, {  0, 128,   3}, {  0, 128,   5}, {  0, 128,   7}, {  0, 128,   9},
   {  0, 128,  11}, {  0, 128,  13}, {  0, 128,  15}, {  0, 128,  17}, {  0, 128,  19},
   {  0, 128,  21}, {  0, 128,  23}, {  0, 128,  25}, {  0, 128,  26}, {  0, 128,  28},
   {  0, 128,  30}, {  0, 128,  32}, {  0, 128,  34}, {  0, 128,  36}, {  0, 128,  38},
   {  0, 128,  40}, {  0, 128,  42}, {  0, 128,  44}, {  0, 128,  46}, {  0, 128,  47},
   {  0, 128,  49}, {  0, 128,  51}, {  0, 128,  53}, {  0, 128,  55}, {  0, 128,  57},
   {  0, 128,  59}, {  0, 128,  61}, {  0, 128,  63}, {  0, 128,  65}, {  0, 128,  67},
   {  0, 128,  69}, {  0, 128,  70}, {  0, 128,  72}, {  0, 128,  74}, {  0, 128,  76},
   {  0, 128,  78}, {  0, 128,  80}, {  0, 128,  82}, {  0, 128,  84}, {  0, 128,  86},
   {  0, 128,  88}, {  0, 128,  90}, {  0, 128,  92}, {  0, 128,  93}, {  0, 128,  95},
   {  0, 128,  97}, {  0, 128,  99}, {  0, 128, 101}, {  0, 128, 103}, {  0, 128, 105},
   {  0, 128, 107}, {  0, 128, 109}, {  0, 128, 111}, {  0, 128, 113}, {  0, 128, 114},
   {  0, 128, 116}, {  0, 128, 118}, {  0, 128, 120}, {  0, 128, 122}, {  0, 128, 124},
   {  0, 128, 126}, {  0, 127, 128}, {  0, 125, 128}, {  0, 123, 128}, {  0, 121, 128},
   {  0, 119, 128}, {  0, 118, 128}, {  0, 116, 128}, {  0, 114, 128}, {  0, 112, 128},
   {  0, 110, 128}, {  0, 108, 128}, {  0, 106, 128}, {  0, 104, 128}, {  0, 102, 128},
   {  0, 100, 128}, {  0,  98, 128}, {  0,  96, 128}, {  0,  95, 128}, {  0,  93, 128},
   {  0,  91, 128}, {  0,  89, 128}, {  0,  87, 128}, {  0,  85, 128}, {  0,  83, 128},
   {  0,  81, 128}, {  0,  79, 128}, {  0,  77, 128}, {  0,  75, 128}, {  0,  74, 128},
   {  0,  72, 128}, {  0,  70, 128}, {  0,  68, 128}, {  0,  66, 128}, {  0,  64, 128},
   {  0,  62, 128}, {  0,  60, 128}, {  0,  58, 128}, {  0,  56, 128}, {  0,  54, 128},
   {  0,  52, 128}, {  0,  51, 128}, {  0,  49, 128}, {  0,  47, 128}, {  0,  45, 128},
   {  0,  43, 128}, {  0,  41, 128}, {  0,  39, 128}, {  0,  37, 128}, {  0,  35, 128},
   {  0,  33, 128}, {  0,  31, 128}, {  0,  29, 128}, {  0,  28, 128}, {  0,  26, 128},
   {  0,  24, 128}, {  0,  22, 128}, {  0,  20, 128}, {  0,  18, 128}, {  0,  16, 128},
   {  0,  14, 128}, {  0,  12, 128}, {  0,  10, 128}, {  0,   8, 128}, {  0,   7, 128},
   {  0,   5, 128}, {  0,   3, 128}, {  0,   1, 128}, {  1,   0, 128}, {  3,   0, 128},
   {  5,   0, 128}, {  7,   0, 128}, {  9,   0, 128}, { 11,   0, 128}, { 13,   0, 128},
   { 15,   0, 128}, { 16,   0, 128}, { 18,   0, 128}, { 20,   0, 128}, { 22,   0, 128},
   { 24,   0, 128}, { 26,   0, 128}, { 28,   0, 128}, { 30,   0, 128}, { 32,   0, 128},
   { 34,   0, 128}, { 36,   0, 128}, { 38,   0, 128}, { 39,   0, 128}, { 41,   0, 128},
   { 43,   0, 128}, { 45,   0, 128}, { 47,   0, 128}, { 49,   0, 128}, { 51,   0, 128},
   { 53,   0, 128}, { 55,   0, 128}, { 57,   0, 128}, { 59,   0, 128}, { 60,   0, 128},
   { 62,   0, 128}, { 64,   0, 128}, { 66,   0, 128}, { 68,   0, 128}, { 70,   0, 128},
   { 72,   0, 128}, { 74,   0, 128}, { 76,   0, 128}, { 78,   0, 128}, { 80,   0, 128},
   { 82,   0, 128}, { 83,   0, 128}, { 85,   0, 128}, { 87,   0, 128}, { 89,   0, 128},
   { 91,   0, 128}, { 93,   0, 128}, { 95,   0, 128}, { 97,   0, 128}, { 99,   0, 128},
   {101,   0, 128}, {103,   0, 128}, {105,   0, 128}, {106,   0, 128}, {108,   0, 128},
   {110,   0, 128}, {112,   0, 128}, {114,   0, 128}, {116,   0, 128}, {118,   0, 128},
   {120,   0, 128}, {122,   0, 128}, {124,   0, 128}, {126,   0, 128}, {128,   0, 128}
};

const rgb_t yarg_colormap[1000] = {
   {  0,   0,   0}, {  0,   0,   0}, {  1,   1,   1}, {  1,   1,   1}, {  1,   1,   1},
   {  1,   1,   1}, {  2,   2,   2}, {  2,   2,   2}, {  2,   2,   2}, {  2,   2,   2},
   {  3,   3,   3}, {  3,   3,   3}, {  3,   3,   3}, {  3,   3,   3}, {  4,   4,   4},
   {  4,   4,   4}, {  4,   4,   4}, {  4,   4,   4}, {  5,   5,   5}, {  5,   5,   5},
   {  5,   5,   5}, {  5,   5,   5}, {  6,   6,   6}, {  6,   6,   6}, {  6,   6,   6},
   {  6,   6,   6}, {  7,   7,   7}, {  7,   7,   7}, {  7,   7,   7}, {  7,   7,   7},
   {  8,   8,   8}, {  8,   8,   8}, {  8,   8,   8}, {  8,   8,   8}, {  9,   9,   9},
   {  9,   9,   9}, {  9,   9,   9}, {  9,   9,   9}, { 10,  10,  10}, { 10,  10,  10},
   { 10,  10,  10}, { 10,  10,  10}, { 11,  11,  11}, { 11,  11,  11}, { 11,  11,  11},
   { 11,  11,  11}, { 12,  12,  12}, { 12,  12,  12}, { 12,  12,  12}, { 13,  13,  13},
   { 13,  13,  13}, { 13,  13,  13}, { 13,  13,  13}, { 14,  14,  14}, { 14,  14,  14},
   { 14,  14,  14}, { 14,  14,  14}, { 15,  15,  15}, { 15,  15,  15}, { 15,  15,  15},
   { 15,  15,  15}, { 16,  16,  16}, { 16,  16,  16}, { 16,  16,  16}, { 16,  16,  16},
   { 17,  17,  17}, { 17,  17,  17}, { 17,  17,  17}, { 17,  17,  17}, { 18,  18,  18},
   { 18,  18,  18}, { 18,  18,  18}, { 18,  18,  18}, { 19,  19,  19}, { 19,  19,  19},
   { 19,  19,  19}, { 19,  19,  19}, { 20,  20,  20}, { 20,  20,  20}, { 20,  20,  20},
   { 20,  20,  20}, { 21,  21,  21}, { 21,  21,  21}, { 21,  21,  21}, { 21,  21,  21},
   { 22,  22,  22}, { 22,  22,  22}, { 22,  22,  22}, { 22,  22,  22}, { 23,  23,  23},
   { 23,  23,  23}, { 23,  23,  23}, { 23,  23,  23}, { 24,  24,  24}, { 24,  24,  24},
   { 24,  24,  24}, { 25,  25,  25}, { 25,  25,  25}, { 25,  25,  25}, { 25,  25,  25},
   { 26,  26,  26}, { 26,  26,  26}, { 26,  26,  26}, { 26,  26,  26}, { 27,  27,  27},
   { 27,  27,  27}, { 27,  27,  27}, { 27,  27,  27}, { 28,  28,  28}, { 28,  28,  28},
   { 28,  28,  28}, { 28,  28,  28}, { 29,  29,  29}, { 29,  29,  29}, { 29,  29,  29},
   { 29,  29,  29}, { 30,  30,  30}, { 30,  30,  30}, { 30,  30,  30}, { 30,  30,  30},
   { 31,  31,  31}, { 31,  31,  31}, { 31,  31,  31}, { 31,  31,  31}, { 32,  32,  32},
   { 32,  32,  32}, { 32,  32,  32}, { 32,  32,  32}, { 33,  33,  33}, { 33,  33,  33},
   { 33,  33,  33}, { 33,  33,  33}, { 34,  34,  34}, { 34,  34,  34}, { 34,  34,  34},
   { 34,  34,  34}, { 35,  35,  35}, { 35,  35,  35}, { 35,  35,  35}, { 35,  35,  35},
   { 36,  36,  36}, { 36,  36,  36}, { 36,  36,  36}, { 37,  37,  37}, { 37,  37,  37},
   { 37,  37,  37}, { 37,  37,  37}, { 38,  38,  38}, { 38,  38,  38}, { 38,  38,  38},
   { 38,  38,  38}, { 39,  39,  39}, { 39,  39,  39}, { 39,  39,  39}, { 39,  39,  39},
   { 40,  40,  40}, { 40,  40,  40}, { 40,  40,  40}, { 40,  40,  40}, { 41,  41,  41},
   { 41,  41,  41}, { 41,  41,  41}, { 41,  41,  41}, { 42,  42,  42}, { 42,  42,  42},
   { 42,  42,  42}, { 42,  42,  42}, { 43,  43,  43}, { 43,  43,  43}, { 43,  43,  43},
   { 43,  43,  43}, { 44,  44,  44}, { 44,  44,  44}, { 44,  44,  44}, { 44,  44,  44},
   { 45,  45,  45}, { 45,  45,  45}, { 45,  45,  45}, { 45,  45,  45}, { 46,  46,  46},
   { 46,  46,  46}, { 46,  46,  46}, { 46,  46,  46}, { 47,  47,  47}, { 47,  47,  47},
   { 47,  47,  47}, { 47,  47,  47}, { 48,  48,  48}, { 48,  48,  48}, { 48,  48,  48},
   { 48,  48,  48}, { 49,  49,  49}, { 49,  49,  49}, { 49,  49,  49}, { 50,  50,  50},
   { 50,  50,  50}, { 50,  50,  50}, { 50,  50,  50}, { 51,  51,  51}, { 51,  51,  51},
   { 51,  51,  51}, { 51,  51,  51}, { 52,  52,  52}, { 52,  52,  52}, { 52,  52,  52},
   { 52,  52,  52}, { 53,  53,  53}, { 53,  53,  53}, { 53,  53,  53}, { 53,  53,  53},
   { 54,  54,  54}, { 54,  54,  54}, { 54,  54,  54}, { 54,  54,  54}, { 55,  55,  55},
   { 55,  55,  55}, { 55,  55,  55}, { 55,  55,  55}, { 56,  56,  56}, { 56,  56,  56},
   { 56,  56,  56}, { 56,  56,  56}, { 57,  57,  57}, { 57,  57,  57}, { 57,  57,  57},
   { 57,  57,  57}, { 58,  58,  58}, { 58,  58,  58}, { 58,  58,  58}, { 58,  58,  58},
   { 59,  59,  59}, { 59,  59,  59}, { 59,  59,  59}, { 59,  59,  59}, { 60,  60,  60},
   { 60,  60,  60}, { 60,  60,  60}, { 60,  60,  60}, { 61,  61,  61}, { 61,  61,  61},
   { 61,  61,  61}, { 62,  62,  62}, { 62,  62,  62}, { 62,  62,  62}, { 62,  62,  62},
   { 63,  63,  63}, { 63,  63,  63}, { 63,  63,  63}, { 63,  63,  63}, { 64,  64,  64},
   { 64,  64,  64}, { 64,  64,  64}, { 64,  64,  64}, { 65,  65,  65}, { 65,  65,  65},
   { 65,  65,  65}, { 65,  65,  65}, { 66,  66,  66}, { 66,  66,  66}, { 66,  66,  66},
   { 66,  66,  66}, { 67,  67,  67}, { 67,  67,  67}, { 67,  67,  67}, { 67,  67,  67},
   { 68,  68,  68}, { 68,  68,  68}, { 68,  68,  68}, { 68,  68,  68}, { 69,  69,  69},
   { 69,  69,  69}, { 69,  69,  69}, { 69,  69,  69}, { 70,  70,  70}, { 70,  70,  70},
   { 70,  70,  70}, { 70,  70,  70}, { 71,  71,  71}, { 71,  71,  71}, { 71,  71,  71},
   { 71,  71,  71}, { 72,  72,  72}, { 72,  72,  72}, { 72,  72,  72}, { 72,  72,  72},
   { 73,  73,  73}, { 73,  73,  73}, { 73,  73,  73}, { 74,  74,  74}, { 74,  74,  74},
   { 74,  74,  74}, { 74,  74,  74}, { 75,  75,  75}, { 75,  75,  75}, { 75,  75,  75},
   { 75,  75,  75}, { 76,  76,  76}, { 76,  76,  76}, { 76,  76,  76}, { 76,  76,  76},
   { 77,  77,  77}, { 77,  77,  77}, { 77,  77,  77}, { 77,  77,  77}, { 78,  78,  78},
   { 78,  78,  78}, { 78,  78,  78}, { 78,  78,  78}, { 79,  79,  79}, { 79,  79,  79},
   { 79,  79,  79}, { 79,  79,  79}, { 80,  80,  80}, { 80,  80,  80}, { 80,  80,  80},
   { 80,  80,  80}, { 81,  81,  81}, { 81,  81,  81}, { 81,  81,  81}, { 81,  81,  81},
   { 82,  82,  82}, { 82,  82,  82}, { 82,  82,  82}, { 82,  82,  82}, { 83,  83,  83},
   { 83,  83,  83}, { 83,  83,  83}, { 83,  83,  83}, { 84,  84,  84}, { 84,  84,  84},
   { 84,  84,  84}, { 84,  84,  84}, { 85,  85,  85}, { 85,  85,  85}, { 85,  85,  85},
   { 86,  86,  86}, { 86,  86,  86}, { 86,  86,  86}, { 86,  86,  86}, { 87,  87,  87},
   { 87,  87,  87}, { 87,  87,  87}, { 87,  87,  87}, { 88,  88,  88}, { 88,  88,  88},
   { 88,  88,  88}, { 88,  88,  88}, { 89,  89,  89}, { 89,  89,  89}, { 89,  89,  89},
   { 89,  89,  89}, { 90,  90,  90}, { 90,  90,  90}, { 90,  90,  90}, { 90,  90,  90},
   { 91,  91,  91}, { 91,  91,  91}, { 91,  91,  91}, { 91,  91,  91}, { 92,  92,  92},
   { 92,  92,  92}, { 92,  92,  92}, { 92,  92,  92}, { 93,  93,  93}, { 93,  93,  93},
   { 93,  93,  93}, { 93,  93,  93}, { 94,  94,  94}, { 94,  94,  94}, { 94,  94,  94},
   { 94,  94,  94}, { 95,  95,  95}, { 95,  95,  95}, { 95,  95,  95}, { 95,  95,  95},
   { 96,  96,  96}, { 96,  96,  96}, { 96,  96,  96}, { 96,  96,  96}, { 97,  97,  97},
   { 97,  97,  97}, { 97,  97,  97}, { 98,  98,  98}, { 98,  98,  98}, { 98,  98,  98},
   { 98,  98,  98}, { 99,  99,  99}, { 99,  99,  99}, { 99,  99,  99}, { 99,  99,  99},
   {100, 100, 100}, {100, 100, 100}, {100, 100, 100}, {100, 100, 100}, {101, 101, 101},
   {101, 101, 101}, {101, 101, 101}, {101, 101, 101}, {102, 102, 102}, {102, 102, 102},
   {102, 102, 102}, {102, 102, 102}, {103, 103, 103}, {103, 103, 103}, {103, 103, 103},
   {103, 103, 103}, {104, 104, 104}, {104, 104, 104}, {104, 104, 104}, {104, 104, 104},
   {105, 105, 105}, {105, 105, 105}, {105, 105, 105}, {105, 105, 105}, {106, 106, 106},
   {106, 106, 106}, {106, 106, 106}, {106, 106, 106}, {107, 107, 107}, {107, 107, 107},
   {107, 107, 107}, {107, 107, 107}, {108, 108, 108}, {108, 108, 108}, {108, 108, 108},
   {108, 108, 108}, {109, 109, 109}, {109, 109, 109}, {109, 109, 109}, {110, 110, 110},
   {110, 110, 110}, {110, 110, 110}, {110, 110, 110}, {111, 111, 111}, {111, 111, 111},
   {111, 111, 111}, {111, 111, 111}, {112, 112, 112}, {112, 112, 112}, {112, 112, 112},
   {112, 112, 112}, {113, 113, 113}, {113, 113, 113}, {113, 113, 113}, {113, 113, 113},
   {114, 114, 114}, {114, 114, 114}, {114, 114, 114}, {114, 114, 114}, {115, 115, 115},
   {115, 115, 115}, {115, 115, 115}, {115, 115, 115}, {116, 116, 116}, {116, 116, 116},
   {116, 116, 116}, {116, 116, 116}, {117, 117, 117}, {117, 117, 117}, {117, 117, 117},
   {117, 117, 117}, {118, 118, 118}, {118, 118, 118}, {118, 118, 118}, {118, 118, 118},
   {119, 119, 119}, {119, 119, 119}, {119, 119, 119}, {119, 119, 119}, {120, 120, 120},
   {120, 120, 120}, {120, 120, 120}, {120, 120, 120}, {121, 121, 121}, {121, 121, 121},
   {121, 121, 121}, {122, 122, 122}, {122, 122, 122}, {122, 122, 122}, {122, 122, 122},
   {123, 123, 123}, {123, 123, 123}, {123, 123, 123}, {123, 123, 123}, {124, 124, 124},
   {124, 124, 124}, {124, 124, 124}, {124, 124, 124}, {125, 125, 125}, {125, 125, 125},
   {125, 125, 125}, {125, 125, 125}, {126, 126, 126}, {126, 126, 126}, {126, 126, 126},
   {126, 126, 126}, {127, 127, 127}, {127, 127, 127}, {127, 127, 127}, {127, 127, 127},
   {128, 128, 128}, {128, 128, 128}, {128, 128, 128}, {128, 128, 128}, {129, 129, 129},
   {129, 129, 129}, {129, 129, 129}, {129, 129, 129}, {130, 130, 130}, {130, 130, 130},
   {130, 130, 130}, {130, 130, 130}, {131, 131, 131}, {131, 131, 131}, {131, 131, 131},
   {131, 131, 131}, {132, 132, 132}, {132, 132, 132}, {132, 132, 132}, {132, 132, 132},
   {133, 133, 133}, {133, 133, 133}, {133, 133, 133}, {133, 133, 133}, {134, 134, 134},
   {134, 134, 134}, {134, 134, 134}, {135, 135, 135}, {135, 135, 135}, {135, 135, 135},
   {135, 135, 135}, {136, 136, 136}, {136, 136, 136}, {136, 136, 136}, {136, 136, 136},
   {137, 137, 137}, {137, 137, 137}, {137, 137, 137}, {137, 137, 137}, {138, 138, 138},
   {138, 138, 138}, {138, 138, 138}, {138, 138, 138}, {139, 139, 139}, {139, 139, 139},
   {139, 139, 139}, {139, 139, 139}, {140, 140, 140}, {140, 140, 140}, {140, 140, 140},
   {140, 140, 140}, {141, 141, 141}, {141, 141, 141}, {141, 141, 141}, {141, 141, 141},
   {142, 142, 142}, {142, 142, 142}, {142, 142, 142}, {142, 142, 142}, {143, 143, 143},
   {143, 143, 143}, {143, 143, 143}, {143, 143, 143}, {144, 144, 144}, {144, 144, 144},
   {144, 144, 144}, {144, 144, 144}, {145, 145, 145}, {145, 145, 145}, {145, 145, 145},
   {145, 145, 145}, {146, 146, 146}, {146, 146, 146}, {146, 146, 146}, {147, 147, 147},
   {147, 147, 147}, {147, 147, 147}, {147, 147, 147}, {148, 148, 148}, {148, 148, 148},
   {148, 148, 148}, {148, 148, 148}, {149, 149, 149}, {149, 149, 149}, {149, 149, 149},
   {149, 149, 149}, {150, 150, 150}, {150, 150, 150}, {150, 150, 150}, {150, 150, 150},
   {151, 151, 151}, {151, 151, 151}, {151, 151, 151}, {151, 151, 151}, {152, 152, 152},
   {152, 152, 152}, {152, 152, 152}, {152, 152, 152}, {153, 153, 153}, {153, 153, 153},
   {153, 153, 153}, {153, 153, 153}, {154, 154, 154}, {154, 154, 154}, {154, 154, 154},
   {154, 154, 154}, {155, 155, 155}, {155, 155, 155}, {155, 155, 155}, {155, 155, 155},
   {156, 156, 156}, {156, 156, 156}, {156, 156, 156}, {156, 156, 156}, {157, 157, 157},
   {157, 157, 157}, {157, 157, 157}, {157, 157, 157}, {158, 158, 158}, {158, 158, 158},
   {158, 158, 158}, {159, 159, 159}, {159, 159, 159}, {159, 159, 159}, {159, 159, 159},
   {160, 160, 160}, {160, 160, 160}, {160, 160, 160}, {160, 160, 160}, {161, 161, 161},
   {161, 161, 161}, {161, 161, 161}, {161, 161, 161}, {162, 162, 162}, {162, 162, 162},
   {162, 162, 162}, {162, 162, 162}, {163, 163, 163}, {163, 163, 163}, {163, 163, 163},
   {163, 163, 163}, {164, 164, 164}, {164, 164, 164}, {164, 164, 164}, {164, 164, 164},
   {165, 165, 165}, {165, 165, 165}, {165, 165, 165}, {165, 165, 165}, {166, 166, 166},
   {166, 166, 166}, {166, 166, 166}, {166, 166, 166}, {167, 167, 167}, {167, 167, 167},
   {167, 167, 167}, {167, 167, 167}, {168, 168, 168}, {168, 168, 168}, {168, 168, 168},
   {168, 168, 168}, {169, 169, 169}, {169, 169, 169}, {169, 169, 169}, {169, 169, 169},
   {170, 170, 170}, {170, 170, 170}, {170, 170, 170}, {171, 171, 171}, {171, 171, 171},
   {171, 171, 171}, {171, 171, 171}, {172, 172, 172}, {172, 172, 172}, {172, 172, 172},
   {172, 172, 172}, {173, 173, 173}, {173, 173, 173}, {173, 173, 173}, {173, 173, 173},
   {174, 174, 174}, {174, 174, 174}, {174, 174, 174}, {174, 174, 174}, {175, 175, 175},
   {175, 175, 175}, {175, 175, 175}, {175, 175, 175}, {176, 176, 176}, {176, 176, 176},
   {176, 176, 176}, {176, 176, 176}, {177, 177, 177}, {177, 177, 177}, {177, 177, 177},
   {177, 177, 177}, {178, 178, 178}, {178, 178, 178}, {178, 178, 178}, {178, 178, 178},
   {179, 179, 179}, {179, 179, 179}, {179, 179, 179}, {179, 179, 179}, {180, 180, 180},
   {180, 180, 180}, {180, 180, 180}, {180, 180, 180}, {181, 181, 181}, {181, 181, 181},
   {181, 181, 181}, {181, 181, 181}, {182, 182, 182}, {182, 182, 182}, {182, 182, 182},
   {183, 183, 183}, {183, 183, 183}, {183, 183, 183}, {183, 183, 183}, {184, 184, 184},
   {184, 184, 184}, {184, 184, 184}, {184, 184, 184}, {185, 185, 185}, {185, 185, 185},
   {185, 185, 185}, {185, 185, 185}, {186, 186, 186}, {186, 186, 186}, {186, 186, 186},
   {186, 186, 186}, {187, 187, 187}, {187, 187, 187}, {187, 187, 187}, {187, 187, 187},
   {188, 188, 188}, {188, 188, 188}, {188, 188, 188}, {188, 188, 188}, {189, 189, 189},
   {189, 189, 189}, {189, 189, 189}, {189, 189, 189}, {190, 190, 190}, {190, 190, 190},
   {190, 190, 190}, {190, 190, 190}, {191, 191, 191}, {191, 191, 191}, {191, 191, 191},
   {191, 191, 191}, {192, 192, 192}, {192, 192, 192}, {192, 192, 192}, {192, 192, 192},
   {193, 193, 193}, {193, 193, 193}, {193, 193, 193}, {193, 193, 193}, {194, 194, 194},
   {194, 194, 194}, {194, 194, 194}, {195, 195, 195}, {195, 195, 195}, {195, 195, 195},
   {195, 195, 195}, {196, 196, 196}, {196, 196, 196}, {196, 196, 196}, {196, 196, 196},
   {197, 197, 197}, {197, 197, 197}, {197, 197, 197}, {197, 197, 197}, {198, 198, 198},
   {198, 198, 198}, {198, 198, 198}, {198, 198, 198}, {199, 199, 199}, {199, 199, 199},
   {199, 199, 199}, {199, 199, 199}, {200, 200, 200}, {200, 200, 200}, {200, 200, 200},
   {200, 200, 200}, {201, 201, 201}, {201, 201, 201}, {201, 201, 201}, {201, 201, 201},
   {202, 202, 202}, {202, 202, 202}, {202, 202, 202}, {202, 202, 202}, {203, 203, 203},
   {203, 203, 203}, {203, 203, 203}, {203, 203, 203}, {204, 204, 204}, {204, 204, 204},
   {204, 204, 204}, {204, 204, 204}, {205, 205, 205}, {205, 205, 205}, {205, 205, 205},
   {205, 205, 205}, {206, 206, 206}, {206, 206, 206}, {206, 206, 206}, {207, 207, 207},
   {207, 207, 207}, {207, 207, 207}, {207, 207, 207}, {208, 208, 208}, {208, 208, 208},
   {208, 208, 208}, {208, 208, 208}, {209, 209, 209}, {209, 209, 209}, {209, 209, 209},
   {209, 209, 209}, {210, 210, 210}, {210, 210, 210}, {210, 210, 210}, {210, 210, 210},
   {211, 211, 211}, {211, 211, 211}, {211, 211, 211}, {211, 211, 211}, {212, 212, 212},
   {212, 212, 212}, {212, 212, 212}, {212, 212, 212}, {213, 213, 213}, {213, 213, 213},
   {213, 213, 213}, {213, 213, 213}, {214, 214, 214}, {214, 214, 214}, {214, 214, 214},
   {214, 214, 214}, {215, 215, 215}, {215, 215, 215}, {215, 215, 215}, {215, 215, 215},
   {216, 216, 216}, {216, 216, 216}, {216, 216, 216}, {216, 216, 216}, {217, 217, 217},
   {217, 217, 217}, {217, 217, 217}, {217, 217, 217}, {218, 218, 218}, {218, 218, 218},
   {218, 218, 218}, {218, 218, 218}, {219, 219, 219}, {219, 219, 219}, {219, 219, 219},
   {220, 220, 220}, {220, 220, 220}, {220, 220, 220}, {220, 220, 220}, {221, 221, 221},
   {221, 221, 221}, {221, 221, 221}, {221, 221, 221}, {222, 222, 222}, {222, 222, 222},
   {222, 222, 222}, {222, 222, 222}, {223, 223, 223}, {223, 223, 223}, {223, 223, 223},
   {223, 223, 223}, {224, 224, 224}, {224, 224, 224}, {224, 224, 224}, {224, 224, 224},
   {225, 225, 225}, {225, 225, 225}, {225, 225, 225}, {225, 225, 225}, {226, 226, 226},
   {226, 226, 226}, {226, 226, 226}, {226, 226, 226}, {227, 227, 227}, {227, 227, 227},
   {227, 227, 227}, {227, 227, 227}, {228, 228, 228}, {228, 228, 228}, {228, 228, 228},
   {228, 228, 228}, {229, 229, 229}, {229, 229, 229}, {229, 229, 229}, {229, 229, 229},
   {230, 230, 230}, {230, 230, 230}, {230, 230, 230}, {230, 230, 230}, {231, 231, 231},
   {231, 231, 231}, {231, 231, 231}, {232, 232, 232}, {232, 232, 232}, {232, 232, 232},
   {232, 232, 232}, {233, 233, 233}, {233, 233, 233}, {233, 233, 233}, {233, 233, 233},
   {234, 234, 234}, {234, 234, 234}, {234, 234, 234}, {234, 234, 234}, {235, 235, 235},
   {235, 235, 235}, {235, 235, 235}, {235, 235, 235}, {236, 236, 236}, {236, 236, 236},
   {236, 236, 236}, {236, 236, 236}, {237, 237, 237}, {237, 237, 237}, {237, 237, 237},
   {237, 237, 237}, {238, 238, 238}, {238, 238, 238}, {238, 238, 238}, {238, 238, 238},
   {239, 239, 239}, {239, 239, 239}, {239, 239, 239}, {239, 239, 239}, {240, 240, 240},
   {240, 240, 240}, {240, 240, 240}, {240, 240, 240}, {241, 241, 241}, {241, 241, 241},
   {241, 241, 241}, {241, 241, 241}, {242, 242, 242}, {242, 242, 242}, {242, 242, 242},
   {242, 242, 242}, {243, 243, 243}, {243, 243, 243}, {243, 243, 243}, {244, 244, 244},
   {244, 244, 244}, {244, 244, 244}, {244, 244, 244}, {245, 245, 245}, {245, 245, 245},
   {245, 245, 245}, {245, 245, 245}, {246, 246, 246}, {246, 246, 246}, {246, 246, 246},
   {246, 246, 246}, {247, 247, 247}, {247, 247, 247}, {247, 247, 247}, {247, 247, 247},
   {248, 248, 248}, {248, 248, 248}, {248, 248, 248}, {248, 248, 248}, {249, 249, 249},
   {249, 249, 249}, {249, 249, 249}, {249, 249, 249}, {250, 250, 250}, {250, 250, 250},
   {250, 250, 250}, {250, 250, 250}, {251, 251, 251}, {251, 251, 251}, {251, 251, 251},
   {251, 251, 251}, {252, 252, 252}, {252, 252, 252}, {252, 252, 252}, {252, 252, 252},
   {253, 253, 253}, {253, 253, 253}, {253, 253, 253}, {253, 253, 253}, {254, 254, 254},
   {254, 254, 254}, {254, 254, 254}, {254, 254, 254}, {255, 255, 255}, {255, 255, 255}
};

#endif