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 MIT License.                                               *
 * http://www.opensource.org/licenses/MIT                                    *
 *                                                                           *
 *****************************************************************************
*/


#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
    };

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

    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 {
        const unsigned int y_offset = y * row_increment_;
        const unsigned int x_offset = x * bytes_per_pixel_;
        const unsigned int offset = y_offset + x_offset;

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

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

    inline rgb_t get_pixel(const unsigned int x, const unsigned int y) const {
        rgb_t colour;
        get_pixel(x, y, colour.red, colour.green, colour.blue);
        return colour;
    }

    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_;
        const unsigned int offset = y_offset + x_offset;

        data_[offset + 0] = blue;
        data_[offset + 1] = green;
        data_[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) const {
        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) const {
        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(), static_cast<unsigned char>(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) {
        double* resp_itr = response_image;

        for (unsigned char* itr = (data() + offset(color)); itr < end(); ++response_image, itr += bytes_per_pixel_) {
            *(resp_itr++) = (1.0 * (*itr)) / 256.0;
        }
    }

    inline void export_gray_scale_response_image(double* response_image) const {
        double* resp_itr = response_image;

        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)))
                    );

            *(resp_itr++) = (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) const {
        if (bgr_mode != channel_mode_)
            return;

        for (const unsigned char* itr = data(); itr < end(); ++y, ++cb, ++cr) {
            const double blue = (1.0 * (*(itr++)));
            const double green = (1.0 * (*(itr++)));
            const 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_gray_scale_clamped(double* gray) {
        if (bgr_mode != channel_mode_)
            return;

        for (unsigned char* itr = data(); itr < end(); ++gray) {
            unsigned char c = static_cast<unsigned char>(clamp<double>(256.0 * (*gray), 0.0, 255.0));

            *(itr + 0) = c;
            *(itr + 1) = c;
            *(itr + 2) = c;

            itr += 3;
        }
    }

    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) const {
        /*
           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) const {
        /*
           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();
        const 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;
        }

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

        double mse = 0.0;

        while (itr1 != end()) {
            const 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) {
            const unsigned char* itr1 = row(r + y) + x * bytes_per_pixel_;
            const 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]) const {
        std::fill(hist, hist + 256, 0.0);

        for (const 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]) const {
        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) const {
        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) const {
        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) {
            std::cerr << "bitmap_image::load_bitmap() ERROR: bitmap_image - "
                << "Invalid type value " << bfh.type << " expected 19778." << std::endl;

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

            stream.close();

            return;
        }

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

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

            stream.close();

            return;
        }

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

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

            stream.close();

            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] = { 0x00, 0x00, 0x00, 0x00 };

        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) {
            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;

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

            stream.close();

            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) const {
        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_;
};

typedef bitmap_image::rgb_t rgb_t;

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]

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

    if ((width >= 1.0) || (height >= 1.0)) {
        const double corner1 = (c1 + c2) / 2.0;
        const double corner2 = (c2 + c3) / 2.0;
        const double corner3 = (c3 + c4) / 2.0;
        const 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 void plasma(bitmap_image& image,
    const double& c1, const double& c2,
    const double& c3, const double& c4,
    const double& roughness = 3.0,
    const rgb_t   colormap[] = 0) {
    plasma
    (
        image, 0, 0, image.width(), image.height(),
        c1, c2, c3, c4,
        roughness, colormap
    );
}

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)) {
        const 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 {
        const double half_width = (width / 2.0);
        const 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;
    }

    const 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) {
                const double m0 = (p1.first - p0.first) / (2.0 * (p1.second - p0.second));
                const 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) {
                const double m0 = (p2.first - p0.first) / (2.0 * (p2.second - p0.second));
                const 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) {
        const rgb_t  curr_rgb = convert_wave_length_nm_to_rgb(i);

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

        const double curr_d = weighted_distance(c, curr_rgb);

        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;
        }
    }

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

    T* row(const std::size_t& row_index) {
        if (row_index < height_)
            return &data_[width_ * row_index];
        else
            return reinterpret_cast<T*>(0);
    }

    const T* row(const std::size_t& row_index) const {
        if (row_index < height_)
            return data_[width_ * row_index];
        else
            return reinterpret_cast<T*>(0);
    }

private:

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

inline void sobel_operator(const bitmap_image& src_image,
    bitmap_image& dst_image,
    const double threshold = 0.0) {
    typedef double T;

    response_image<T> im0(src_image.width(), src_image.height(), 0.0);
    response_image<T> im1(src_image.width(), src_image.height(), 0.0);

    src_image.export_gray_scale_response_image(&im0(0, 0));

    for (std::size_t y = 1; y < im0.height() - 1; ++y) {
        const T* itr0 = im0.row(y - 1);
        const T* itr1 = im0.row(y);
        const T* itr2 = im0.row(y + 1);
        T* out = im1.row(y) + 1;

        for (std::size_t x = 1; x < im0.width() - 1; ++x) {
            const T c0 = *(itr0 + x - 1);   const T c1 = *(itr0 + x);   const T c2 = *(itr0 + x + 1);
            const T c3 = *(itr1 + x - 1); /*const T c4 = *(itr1 + x);*/ const T c5 = *(itr1 + x + 1);
            const T c6 = *(itr2 + x - 1);   const T c7 = *(itr2 + x);   const T c8 = *(itr2 + x + 1);

            const T gx = (2.0 * (c5 - c3)) + (c2 - c0) + (c8 - c6);
            const T gy = (2.0 * (c1 - c7)) + (c0 - c6) + (c2 - c8);

            *(out++) = std::sqrt((gx * gx) + (gy * gy));
        }
    }

    if (threshold > 0.0) {
        const T* end = im1.row(0) + (im1.width() * im1.height());

        for (T* itr = im1.row(0); itr != end; ++itr) {
            T& v = *itr;
            if (v <= threshold) v = 0;
        }
    }

    dst_image.setwidth_height
    (
        static_cast<unsigned int>(im1.width()),
        static_cast<unsigned int>(im1.height())
    );

    dst_image.import_gray_scale_clamped(&im1(0, 0));
}

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},
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   {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},
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   {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},
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   {114, 114, 114}, {114, 114, 114}, {114, 114, 114}, {114, 114, 114}, {115, 115, 115},
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   {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},
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   {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