color_palette.c

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/*************************************************************************
 * Copyright (c) 2013 AT&T Intellectual Property 
 * All rights reserved. This program and the accompanying materials
 * are made available under the terms of the Eclipse Public License v1.0
 * which accompanies this distribution, and is available at
 * https://www.eclipse.org/legal/epl-v10.html
 *
 * Contributors: Details at https://graphviz.org
 *************************************************************************/
 
#include <sparse/color_palette.h>
#include <stdbool.h>
#include <string.h>
#include <util/streq.h>
 
enum { npalettes = 265 };
 
static const char *const color_palettes[npalettes][2] = {
    {"accent3", "#7fc97f,#beaed4,#fdc086"},
    {"accent4", "#7fc97f,#beaed4,#fdc086,#ffff99"},
    {"accent5", "#7fc97f,#beaed4,#fdc086,#ffff99,#386cb0"},
    {"accent6", "#7fc97f,#beaed4,#fdc086,#ffff99,#386cb0,#f0027f"},
    {"accent7", "#7fc97f,#beaed4,#fdc086,#ffff99,#386cb0,#f0027f,#bf5b17"},
    {"accent8",
     "#7fc97f,#beaed4,#fdc086,#ffff99,#386cb0,#f0027f,#bf5b17,#666666"},
    {"blues3", "#deebf7,#9ecae1,#3182bd"},
    {"blues4", "#eff3ff,#bdd7e7,#6baed6,#2171b5"},
    {"blues5", "#eff3ff,#bdd7e7,#6baed6,#3182bd,#08519c"},
    {"blues6", "#eff3ff,#c6dbef,#9ecae1,#6baed6,#3182bd,#08519c"},
    {"blues7", "#eff3ff,#c6dbef,#9ecae1,#6baed6,#4292c6,#2171b5,#084594"},
    {"blues8",
     "#f7fbff,#deebf7,#c6dbef,#9ecae1,#6baed6,#4292c6,#2171b5,#084594"},
    {"blues9",
     "#f7fbff,#deebf7,#c6dbef,#9ecae1,#6baed6,#4292c6,#2171b5,#08519c,#08306b"},
    {"brbg10", "#543005,#8c510a,#bf812d,#dfc27d,#f6e8c3,#c7eae5,#80cdc1,#"
               "35978f,#01665e,#003c30"},
    {"brbg11", "#543005,#8c510a,#bf812d,#dfc27d,#f6e8c3,#f5f5f5,#c7eae5,#"
               "80cdc1,#35978f,#01665e,#003c30"},
    {"brbg3", "#d8b365,#f5f5f5,#5ab4ac"},
    {"brbg4", "#a6611a,#dfc27d,#80cdc1,#018571"},
    {"brbg5", "#a6611a,#dfc27d,#f5f5f5,#80cdc1,#018571"},
    {"brbg6", "#8c510a,#d8b365,#f6e8c3,#c7eae5,#5ab4ac,#01665e"},
    {"brbg7", "#8c510a,#d8b365,#f6e8c3,#f5f5f5,#c7eae5,#5ab4ac,#01665e"},
    {"brbg8",
     "#8c510a,#bf812d,#dfc27d,#f6e8c3,#c7eae5,#80cdc1,#35978f,#01665e"},
    {"brbg9",
     "#8c510a,#bf812d,#dfc27d,#f6e8c3,#f5f5f5,#c7eae5,#80cdc1,#35978f,#01665e"},
    {"bugn3", "#e5f5f9,#99d8c9,#2ca25f"},
    {"bugn4", "#edf8fb,#b2e2e2,#66c2a4,#238b45"},
    {"bugn5", "#edf8fb,#b2e2e2,#66c2a4,#2ca25f,#006d2c"},
    {"bugn6", "#edf8fb,#ccece6,#99d8c9,#66c2a4,#2ca25f,#006d2c"},
    {"bugn7", "#edf8fb,#ccece6,#99d8c9,#66c2a4,#41ae76,#238b45,#005824"},
    {"bugn8",
     "#f7fcfd,#e5f5f9,#ccece6,#99d8c9,#66c2a4,#41ae76,#238b45,#005824"},
    {"bugn9",
     "#f7fcfd,#e5f5f9,#ccece6,#99d8c9,#66c2a4,#41ae76,#238b45,#006d2c,#00441b"},
    {"bupu3", "#e0ecf4,#9ebcda,#8856a7"},
    {"bupu4", "#edf8fb,#b3cde3,#8c96c6,#88419d"},
    {"bupu5", "#edf8fb,#b3cde3,#8c96c6,#8856a7,#810f7c"},
    {"bupu6", "#edf8fb,#bfd3e6,#9ebcda,#8c96c6,#8856a7,#810f7c"},
    {"bupu7", "#edf8fb,#bfd3e6,#9ebcda,#8c96c6,#8c6bb1,#88419d,#6e016b"},
    {"bupu8",
     "#f7fcfd,#e0ecf4,#bfd3e6,#9ebcda,#8c96c6,#8c6bb1,#88419d,#6e016b"},
    {"bupu9",
     "#f7fcfd,#e0ecf4,#bfd3e6,#9ebcda,#8c96c6,#8c6bb1,#88419d,#810f7c,#4d004b"},
    {"dark23", "#1b9e77,#d95f02,#7570b3"},
    {"dark24", "#1b9e77,#d95f02,#7570b3,#e7298a"},
    {"dark25", "#1b9e77,#d95f02,#7570b3,#e7298a,#66a61e"},
    {"dark26", "#1b9e77,#d95f02,#7570b3,#e7298a,#66a61e,#e6ab02"},
    {"dark27", "#1b9e77,#d95f02,#7570b3,#e7298a,#66a61e,#e6ab02,#a6761d"},
    {"dark28",
     "#1b9e77,#d95f02,#7570b3,#e7298a,#66a61e,#e6ab02,#a6761d,#666666"},
    {"gnbu3", "#e0f3db,#a8ddb5,#43a2ca"},
    {"gnbu4", "#f0f9e8,#bae4bc,#7bccc4,#2b8cbe"},
    {"gnbu5", "#f0f9e8,#bae4bc,#7bccc4,#43a2ca,#0868ac"},
    {"gnbu6", "#f0f9e8,#ccebc5,#a8ddb5,#7bccc4,#43a2ca,#0868ac"},
    {"gnbu7", "#f0f9e8,#ccebc5,#a8ddb5,#7bccc4,#4eb3d3,#2b8cbe,#08589e"},
    {"gnbu8",
     "#f7fcf0,#e0f3db,#ccebc5,#a8ddb5,#7bccc4,#4eb3d3,#2b8cbe,#08589e"},
    {"gnbu9",
     "#f7fcf0,#e0f3db,#ccebc5,#a8ddb5,#7bccc4,#4eb3d3,#2b8cbe,#0868ac,#084081"},
    {"greens3", "#e5f5e0,#a1d99b,#31a354"},
    {"greens4", "#edf8e9,#bae4b3,#74c476,#238b45"},
    {"greens5", "#edf8e9,#bae4b3,#74c476,#31a354,#006d2c"},
    {"greens6", "#edf8e9,#c7e9c0,#a1d99b,#74c476,#31a354,#006d2c"},
    {"greens7", "#edf8e9,#c7e9c0,#a1d99b,#74c476,#41ab5d,#238b45,#005a32"},
    {"greens8",
     "#f7fcf5,#e5f5e0,#c7e9c0,#a1d99b,#74c476,#41ab5d,#238b45,#005a32"},
    {"greens9",
     "#f7fcf5,#e5f5e0,#c7e9c0,#a1d99b,#74c476,#41ab5d,#238b45,#006d2c,#00441b"},
    {"greys3", "#f0f0f0,#bdbdbd,#636363"},
    {"greys4", "#f7f7f7,#cccccc,#969696,#525252"},
    {"greys5", "#f7f7f7,#cccccc,#969696,#636363,#252525"},
    {"greys6", "#f7f7f7,#d9d9d9,#bdbdbd,#969696,#636363,#252525"},
    {"greys7", "#f7f7f7,#d9d9d9,#bdbdbd,#969696,#737373,#525252,#252525"},
    {"greys8",
     "#ffffff,#f0f0f0,#d9d9d9,#bdbdbd,#969696,#737373,#525252,#252525"},
    {"greys9",
     "#ffffff,#f0f0f0,#d9d9d9,#bdbdbd,#969696,#737373,#525252,#252525,#000000"},
    {"oranges3", "#fee6ce,#fdae6b,#e6550d"},
    {"oranges4", "#feedde,#fdbe85,#fd8d3c,#d94701"},
    {"oranges5", "#feedde,#fdbe85,#fd8d3c,#e6550d,#a63603"},
    {"oranges6", "#feedde,#fdd0a2,#fdae6b,#fd8d3c,#e6550d,#a63603"},
    {"oranges7", "#feedde,#fdd0a2,#fdae6b,#fd8d3c,#f16913,#d94801,#8c2d04"},
    {"oranges8",
     "#fff5eb,#fee6ce,#fdd0a2,#fdae6b,#fd8d3c,#f16913,#d94801,#8c2d04"},
    {"oranges9",
     "#fff5eb,#fee6ce,#fdd0a2,#fdae6b,#fd8d3c,#f16913,#d94801,#a63603,#7f2704"},
    {"orrd3", "#fee8c8,#fdbb84,#e34a33"},
    {"orrd4", "#fef0d9,#fdcc8a,#fc8d59,#d7301f"},
    {"orrd5", "#fef0d9,#fdcc8a,#fc8d59,#e34a33,#b30000"},
    {"orrd6", "#fef0d9,#fdd49e,#fdbb84,#fc8d59,#e34a33,#b30000"},
    {"orrd7", "#fef0d9,#fdd49e,#fdbb84,#fc8d59,#ef6548,#d7301f,#990000"},
    {"orrd8",
     "#fff7ec,#fee8c8,#fdd49e,#fdbb84,#fc8d59,#ef6548,#d7301f,#990000"},
    {"orrd9",
     "#fff7ec,#fee8c8,#fdd49e,#fdbb84,#fc8d59,#ef6548,#d7301f,#b30000,#7f0000"},
    {"paired10", "#a6cee3,#1f78b4,#b2df8a,#33a02c,#fb9a99,#e31a1c,#fdbf6f,#"
                 "ff7f00,#cab2d6,#6a3d9a"},
    {"paired11", "#a6cee3,#1f78b4,#b2df8a,#33a02c,#fb9a99,#e31a1c,#fdbf6f,#"
                 "ff7f00,#cab2d6,#6a3d9a,#ffff99"},
    {"paired12", "#a6cee3,#1f78b4,#b2df8a,#33a02c,#fb9a99,#e31a1c,#fdbf6f,#"
                 "ff7f00,#cab2d6,#6a3d9a,#ffff99,#b15928"},
    {"paired3", "#a6cee3,#1f78b4,#b2df8a"},
    {"paired4", "#a6cee3,#1f78b4,#b2df8a,#33a02c"},
    {"paired5", "#a6cee3,#1f78b4,#b2df8a,#33a02c,#fb9a99"},
    {"paired6", "#a6cee3,#1f78b4,#b2df8a,#33a02c,#fb9a99,#e31a1c"},
    {"paired7", "#a6cee3,#1f78b4,#b2df8a,#33a02c,#fb9a99,#e31a1c,#fdbf6f"},
    {"paired8",
     "#a6cee3,#1f78b4,#b2df8a,#33a02c,#fb9a99,#e31a1c,#fdbf6f,#ff7f00"},
    {"paired9",
     "#a6cee3,#1f78b4,#b2df8a,#33a02c,#fb9a99,#e31a1c,#fdbf6f,#ff7f00,#cab2d6"},
    {"pastel13", "#fbb4ae,#b3cde3,#ccebc5"},
    {"pastel14", "#fbb4ae,#b3cde3,#ccebc5,#decbe4"},
    {"pastel15", "#fbb4ae,#b3cde3,#ccebc5,#decbe4,#fed9a6"},
    {"pastel16", "#fbb4ae,#b3cde3,#ccebc5,#decbe4,#fed9a6,#ffffcc"},
    {"pastel17", "#fbb4ae,#b3cde3,#ccebc5,#decbe4,#fed9a6,#ffffcc,#e5d8bd"},
    {"pastel18",
     "#fbb4ae,#b3cde3,#ccebc5,#decbe4,#fed9a6,#ffffcc,#e5d8bd,#fddaec"},
    {"pastel19",
     "#fbb4ae,#b3cde3,#ccebc5,#decbe4,#fed9a6,#ffffcc,#e5d8bd,#fddaec,#f2f2f2"},
    {"pastel23", "#b3e2cd,#fdcdac,#cbd5e8"},
    {"pastel24", "#b3e2cd,#fdcdac,#cbd5e8,#f4cae4"},
    {"pastel25", "#b3e2cd,#fdcdac,#cbd5e8,#f4cae4,#e6f5c9"},
    {"pastel26", "#b3e2cd,#fdcdac,#cbd5e8,#f4cae4,#e6f5c9,#fff2ae"},
    {"pastel27", "#b3e2cd,#fdcdac,#cbd5e8,#f4cae4,#e6f5c9,#fff2ae,#f1e2cc"},
    {"pastel28",
     "#b3e2cd,#fdcdac,#cbd5e8,#f4cae4,#e6f5c9,#fff2ae,#f1e2cc,#cccccc"},
    {"piyg10", "#8e0152,#c51b7d,#de77ae,#f1b6da,#fde0ef,#e6f5d0,#b8e186,#"
               "7fbc41,#4d9221,#276419"},
    {"piyg11", "#8e0152,#c51b7d,#de77ae,#f1b6da,#fde0ef,#f7f7f7,#e6f5d0,#"
               "b8e186,#7fbc41,#4d9221,#276419"},
    {"piyg3", "#e9a3c9,#f7f7f7,#a1d76a"},
    {"piyg4", "#d01c8b,#f1b6da,#b8e186,#4dac26"},
    {"piyg5", "#d01c8b,#f1b6da,#f7f7f7,#b8e186,#4dac26"},
    {"piyg6", "#c51b7d,#e9a3c9,#fde0ef,#e6f5d0,#a1d76a,#4d9221"},
    {"piyg7", "#c51b7d,#e9a3c9,#fde0ef,#f7f7f7,#e6f5d0,#a1d76a,#4d9221"},
    {"piyg8",
     "#c51b7d,#de77ae,#f1b6da,#fde0ef,#e6f5d0,#b8e186,#7fbc41,#4d9221"},
    {"piyg9",
     "#c51b7d,#de77ae,#f1b6da,#fde0ef,#f7f7f7,#e6f5d0,#b8e186,#7fbc41,#4d9221"},
    {"prgn10", "#40004b,#762a83,#9970ab,#c2a5cf,#e7d4e8,#d9f0d3,#a6dba0,#"
               "5aae61,#1b7837,#00441b"},
    {"prgn11", "#40004b,#762a83,#9970ab,#c2a5cf,#e7d4e8,#f7f7f7,#d9f0d3,#"
               "a6dba0,#5aae61,#1b7837,#00441b"},
    {"prgn3", "#af8dc3,#f7f7f7,#7fbf7b"},
    {"prgn4", "#7b3294,#c2a5cf,#a6dba0,#008837"},
    {"prgn5", "#7b3294,#c2a5cf,#f7f7f7,#a6dba0,#008837"},
    {"prgn6", "#762a83,#af8dc3,#e7d4e8,#d9f0d3,#7fbf7b,#1b7837"},
    {"prgn7", "#762a83,#af8dc3,#e7d4e8,#f7f7f7,#d9f0d3,#7fbf7b,#1b7837"},
    {"prgn8",
     "#762a83,#9970ab,#c2a5cf,#e7d4e8,#d9f0d3,#a6dba0,#5aae61,#1b7837"},
    {"prgn9",
     "#762a83,#9970ab,#c2a5cf,#e7d4e8,#f7f7f7,#d9f0d3,#a6dba0,#5aae61,#1b7837"},
    {"pubu3", "#ece7f2,#a6bddb,#2b8cbe"},
    {"pubu4", "#f1eef6,#bdc9e1,#74a9cf,#0570b0"},
    {"pubu5", "#f1eef6,#bdc9e1,#74a9cf,#2b8cbe,#045a8d"},
    {"pubu6", "#f1eef6,#d0d1e6,#a6bddb,#74a9cf,#2b8cbe,#045a8d"},
    {"pubu7", "#f1eef6,#d0d1e6,#a6bddb,#74a9cf,#3690c0,#0570b0,#034e7b"},
    {"pubu8",
     "#fff7fb,#ece7f2,#d0d1e6,#a6bddb,#74a9cf,#3690c0,#0570b0,#034e7b"},
    {"pubu9",
     "#fff7fb,#ece7f2,#d0d1e6,#a6bddb,#74a9cf,#3690c0,#0570b0,#045a8d,#023858"},
    {"pubugn3", "#ece2f0,#a6bddb,#1c9099"},
    {"pubugn4", "#f6eff7,#bdc9e1,#67a9cf,#02818a"},
    {"pubugn5", "#f6eff7,#bdc9e1,#67a9cf,#1c9099,#016c59"},
    {"pubugn6", "#f6eff7,#d0d1e6,#a6bddb,#67a9cf,#1c9099,#016c59"},
    {"pubugn7", "#f6eff7,#d0d1e6,#a6bddb,#67a9cf,#3690c0,#02818a,#016450"},
    {"pubugn8",
     "#fff7fb,#ece2f0,#d0d1e6,#a6bddb,#67a9cf,#3690c0,#02818a,#016450"},
    {"pubugn9",
     "#fff7fb,#ece2f0,#d0d1e6,#a6bddb,#67a9cf,#3690c0,#02818a,#016c59,#014636"},
    {"puor10", "#7f3b08,#b35806,#e08214,#fdb863,#fee0b6,#d8daeb,#b2abd2,#"
               "8073ac,#542788,#2d004b"},
    {"puor11", "#7f3b08,#b35806,#e08214,#fdb863,#fee0b6,#f7f7f7,#d8daeb,#"
               "b2abd2,#8073ac,#542788,#2d004b"},
    {"puor3", "#f1a340,#f7f7f7,#998ec3"},
    {"puor4", "#e66101,#fdb863,#b2abd2,#5e3c99"},
    {"puor5", "#e66101,#fdb863,#f7f7f7,#b2abd2,#5e3c99"},
    {"puor6", "#b35806,#f1a340,#fee0b6,#d8daeb,#998ec3,#542788"},
    {"puor7", "#b35806,#f1a340,#fee0b6,#f7f7f7,#d8daeb,#998ec3,#542788"},
    {"puor8",
     "#b35806,#e08214,#fdb863,#fee0b6,#d8daeb,#b2abd2,#8073ac,#542788"},
    {"puor9",
     "#b35806,#e08214,#fdb863,#fee0b6,#f7f7f7,#d8daeb,#b2abd2,#8073ac,#542788"},
    {"purd3", "#e7e1ef,#c994c7,#dd1c77"},
    {"purd4", "#f1eef6,#d7b5d8,#df65b0,#ce1256"},
    {"purd5", "#f1eef6,#d7b5d8,#df65b0,#dd1c77,#980043"},
    {"purd6", "#f1eef6,#d4b9da,#c994c7,#df65b0,#dd1c77,#980043"},
    {"purd7", "#f1eef6,#d4b9da,#c994c7,#df65b0,#e7298a,#ce1256,#91003f"},
    {"purd8",
     "#f7f4f9,#e7e1ef,#d4b9da,#c994c7,#df65b0,#e7298a,#ce1256,#91003f"},
    {"purd9",
     "#f7f4f9,#e7e1ef,#d4b9da,#c994c7,#df65b0,#e7298a,#ce1256,#980043,#67001f"},
    {"purples3", "#efedf5,#bcbddc,#756bb1"},
    {"purples4", "#f2f0f7,#cbc9e2,#9e9ac8,#6a51a3"},
    {"purples5", "#f2f0f7,#cbc9e2,#9e9ac8,#756bb1,#54278f"},
    {"purples6", "#f2f0f7,#dadaeb,#bcbddc,#9e9ac8,#756bb1,#54278f"},
    {"purples7", "#f2f0f7,#dadaeb,#bcbddc,#9e9ac8,#807dba,#6a51a3,#4a1486"},
    {"purples8",
     "#fcfbfd,#efedf5,#dadaeb,#bcbddc,#9e9ac8,#807dba,#6a51a3,#4a1486"},
    {"purples9",
     "#fcfbfd,#efedf5,#dadaeb,#bcbddc,#9e9ac8,#807dba,#6a51a3,#54278f,#3f007d"},
    {"rdbu10", "#67001f,#b2182b,#d6604d,#f4a582,#fddbc7,#d1e5f0,#92c5de,#"
               "4393c3,#2166ac,#053061"},
    {"rdbu11", "#67001f,#b2182b,#d6604d,#f4a582,#fddbc7,#f7f7f7,#d1e5f0,#"
               "92c5de,#4393c3,#2166ac,#053061"},
    {"rdbu3", "#ef8a62,#f7f7f7,#67a9cf"},
    {"rdbu4", "#ca0020,#f4a582,#92c5de,#0571b0"},
    {"rdbu5", "#ca0020,#f4a582,#f7f7f7,#92c5de,#0571b0"},
    {"rdbu6", "#b2182b,#ef8a62,#fddbc7,#d1e5f0,#67a9cf,#2166ac"},
    {"rdbu7", "#b2182b,#ef8a62,#fddbc7,#f7f7f7,#d1e5f0,#67a9cf,#2166ac"},
    {"rdbu8",
     "#b2182b,#d6604d,#f4a582,#fddbc7,#d1e5f0,#92c5de,#4393c3,#2166ac"},
    {"rdbu9",
     "#b2182b,#d6604d,#f4a582,#fddbc7,#f7f7f7,#d1e5f0,#92c5de,#4393c3,#2166ac"},
    {"rdgy10", "#67001f,#b2182b,#d6604d,#f4a582,#fddbc7,#e0e0e0,#bababa,#"
               "878787,#4d4d4d,#1a1a1a"},
    {"rdgy11", "#67001f,#b2182b,#d6604d,#f4a582,#fddbc7,#ffffff,#e0e0e0,#"
               "bababa,#878787,#4d4d4d,#1a1a1a"},
    {"rdgy3", "#ef8a62,#ffffff,#999999"},
    {"rdgy4", "#ca0020,#f4a582,#bababa,#404040"},
    {"rdgy5", "#ca0020,#f4a582,#ffffff,#bababa,#404040"},
    {"rdgy6", "#b2182b,#ef8a62,#fddbc7,#e0e0e0,#999999,#4d4d4d"},
    {"rdgy7", "#b2182b,#ef8a62,#fddbc7,#ffffff,#e0e0e0,#999999,#4d4d4d"},
    {"rdgy8",
     "#b2182b,#d6604d,#f4a582,#fddbc7,#e0e0e0,#bababa,#878787,#4d4d4d"},
    {"rdgy9",
     "#b2182b,#d6604d,#f4a582,#fddbc7,#ffffff,#e0e0e0,#bababa,#878787,#4d4d4d"},
    {"rdpu3", "#fde0dd,#fa9fb5,#c51b8a"},
    {"rdpu4", "#feebe2,#fbb4b9,#f768a1,#ae017e"},
    {"rdpu5", "#feebe2,#fbb4b9,#f768a1,#c51b8a,#7a0177"},
    {"rdpu6", "#feebe2,#fcc5c0,#fa9fb5,#f768a1,#c51b8a,#7a0177"},
    {"rdpu7", "#feebe2,#fcc5c0,#fa9fb5,#f768a1,#dd3497,#ae017e,#7a0177"},
    {"rdpu8",
     "#fff7f3,#fde0dd,#fcc5c0,#fa9fb5,#f768a1,#dd3497,#ae017e,#7a0177"},
    {"rdpu9",
     "#fff7f3,#fde0dd,#fcc5c0,#fa9fb5,#f768a1,#dd3497,#ae017e,#7a0177,#49006a"},
    {"rdylbu10", "#a50026,#d73027,#f46d43,#fdae61,#fee090,#e0f3f8,#abd9e9,#"
                 "74add1,#4575b4,#313695"},
    {"rdylbu11", "#a50026,#d73027,#f46d43,#fdae61,#fee090,#ffffbf,#e0f3f8,#"
                 "abd9e9,#74add1,#4575b4,#313695"},
    {"rdylbu3", "#fc8d59,#ffffbf,#91bfdb"},
    {"rdylbu4", "#d7191c,#fdae61,#abd9e9,#2c7bb6"},
    {"rdylbu5", "#d7191c,#fdae61,#ffffbf,#abd9e9,#2c7bb6"},
    {"rdylbu6", "#d73027,#fc8d59,#fee090,#e0f3f8,#91bfdb,#4575b4"},
    {"rdylbu7", "#d73027,#fc8d59,#fee090,#ffffbf,#e0f3f8,#91bfdb,#4575b4"},
    {"rdylbu8",
     "#d73027,#f46d43,#fdae61,#fee090,#e0f3f8,#abd9e9,#74add1,#4575b4"},
    {"rdylbu9",
     "#d73027,#f46d43,#fdae61,#fee090,#ffffbf,#e0f3f8,#abd9e9,#74add1,#4575b4"},
    {"rdylgn10", "#a50026,#d73027,#f46d43,#fdae61,#fee08b,#d9ef8b,#a6d96a,#"
                 "66bd63,#1a9850,#006837"},
    {"rdylgn11", "#a50026,#d73027,#f46d43,#fdae61,#fee08b,#ffffbf,#d9ef8b,#"
                 "a6d96a,#66bd63,#1a9850,#006837"},
    {"rdylgn3", "#fc8d59,#ffffbf,#91cf60"},
    {"rdylgn4", "#d7191c,#fdae61,#a6d96a,#1a9641"},
    {"rdylgn5", "#d7191c,#fdae61,#ffffbf,#a6d96a,#1a9641"},
    {"rdylgn6", "#d73027,#fc8d59,#fee08b,#d9ef8b,#91cf60,#1a9850"},
    {"rdylgn7", "#d73027,#fc8d59,#fee08b,#ffffbf,#d9ef8b,#91cf60,#1a9850"},
    {"rdylgn8",
     "#d73027,#f46d43,#fdae61,#fee08b,#d9ef8b,#a6d96a,#66bd63,#1a9850"},
    {"rdylgn9",
     "#d73027,#f46d43,#fdae61,#fee08b,#ffffbf,#d9ef8b,#a6d96a,#66bd63,#1a9850"},
    {"reds3", "#fee0d2,#fc9272,#de2d26"},
    {"reds4", "#fee5d9,#fcae91,#fb6a4a,#cb181d"},
    {"reds5", "#fee5d9,#fcae91,#fb6a4a,#de2d26,#a50f15"},
    {"reds6", "#fee5d9,#fcbba1,#fc9272,#fb6a4a,#de2d26,#a50f15"},
    {"reds7", "#fee5d9,#fcbba1,#fc9272,#fb6a4a,#ef3b2c,#cb181d,#99000d"},
    {"reds8",
     "#fff5f0,#fee0d2,#fcbba1,#fc9272,#fb6a4a,#ef3b2c,#cb181d,#99000d"},
    {"reds9",
     "#fff5f0,#fee0d2,#fcbba1,#fc9272,#fb6a4a,#ef3b2c,#cb181d,#a50f15,#67000d"},
    {"set13", "#e41a1c,#377eb8,#4daf4a"},
    {"set14", "#e41a1c,#377eb8,#4daf4a,#984ea3"},
    {"set15", "#e41a1c,#377eb8,#4daf4a,#984ea3,#ff7f00"},
    {"set16", "#e41a1c,#377eb8,#4daf4a,#984ea3,#ff7f00,#ffff33"},
    {"set17", "#e41a1c,#377eb8,#4daf4a,#984ea3,#ff7f00,#ffff33,#a65628"},
    {"set18",
     "#e41a1c,#377eb8,#4daf4a,#984ea3,#ff7f00,#ffff33,#a65628,#f781bf"},
    {"set19",
     "#e41a1c,#377eb8,#4daf4a,#984ea3,#ff7f00,#ffff33,#a65628,#f781bf,#999999"},
    {"set23", "#66c2a5,#fc8d62,#8da0cb"},
    {"set24", "#66c2a5,#fc8d62,#8da0cb,#e78ac3"},
    {"set25", "#66c2a5,#fc8d62,#8da0cb,#e78ac3,#a6d854"},
    {"set26", "#66c2a5,#fc8d62,#8da0cb,#e78ac3,#a6d854,#ffd92f"},
    {"set27", "#66c2a5,#fc8d62,#8da0cb,#e78ac3,#a6d854,#ffd92f,#e5c494"},
    {"set28",
     "#66c2a5,#fc8d62,#8da0cb,#e78ac3,#a6d854,#ffd92f,#e5c494,#b3b3b3"},
    {"set310", "#8dd3c7,#ffffb3,#bebada,#fb8072,#80b1d3,#fdb462,#b3de69,#"
               "fccde5,#d9d9d9,#bc80bd"},
    {"set311", "#8dd3c7,#ffffb3,#bebada,#fb8072,#80b1d3,#fdb462,#b3de69,#"
               "fccde5,#d9d9d9,#bc80bd,#ccebc5"},
    {"set312", "#8dd3c7,#ffffb3,#bebada,#fb8072,#80b1d3,#fdb462,#b3de69,#"
               "fccde5,#d9d9d9,#bc80bd,#ccebc5,#ffed6f"},
    {"set33", "#8dd3c7,#ffffb3,#bebada"},
    {"set34", "#8dd3c7,#ffffb3,#bebada,#fb8072"},
    {"set35", "#8dd3c7,#ffffb3,#bebada,#fb8072,#80b1d3"},
    {"set36", "#8dd3c7,#ffffb3,#bebada,#fb8072,#80b1d3,#fdb462"},
    {"set37", "#8dd3c7,#ffffb3,#bebada,#fb8072,#80b1d3,#fdb462,#b3de69"},
    {"set38",
     "#8dd3c7,#ffffb3,#bebada,#fb8072,#80b1d3,#fdb462,#b3de69,#fccde5"},
    {"set39",
     "#8dd3c7,#ffffb3,#bebada,#fb8072,#80b1d3,#fdb462,#b3de69,#fccde5,#d9d9d9"},
    {"spectral10", "#9e0142,#d53e4f,#f46d43,#fdae61,#fee08b,#e6f598,#abdda4,#"
                   "66c2a5,#3288bd,#5e4fa2"},
    {"spectral11", "#9e0142,#d53e4f,#f46d43,#fdae61,#fee08b,#ffffbf,#e6f598,#"
                   "abdda4,#66c2a5,#3288bd,#5e4fa2"},
    {"spectral3", "#fc8d59,#ffffbf,#99d594"},
    {"spectral4", "#d7191c,#fdae61,#abdda4,#2b83ba"},
    {"spectral5", "#d7191c,#fdae61,#ffffbf,#abdda4,#2b83ba"},
    {"spectral6", "#d53e4f,#fc8d59,#fee08b,#e6f598,#99d594,#3288bd"},
    {"spectral7", "#d53e4f,#fc8d59,#fee08b,#ffffbf,#e6f598,#99d594,#3288bd"},
    {"spectral8",
     "#d53e4f,#f46d43,#fdae61,#fee08b,#e6f598,#abdda4,#66c2a5,#3288bd"},
    {"spectral9",
     "#d53e4f,#f46d43,#fdae61,#fee08b,#ffffbf,#e6f598,#abdda4,#66c2a5,#3288bd"},
    {"ylgn3", "#f7fcb9,#addd8e,#31a354"},
    {"ylgn4", "#ffffcc,#c2e699,#78c679,#238443"},
    {"ylgn5", "#ffffcc,#c2e699,#78c679,#31a354,#006837"},
    {"ylgn6", "#ffffcc,#d9f0a3,#addd8e,#78c679,#31a354,#006837"},
    {"ylgn7", "#ffffcc,#d9f0a3,#addd8e,#78c679,#41ab5d,#238443,#005a32"},
    {"ylgn8",
     "#ffffe5,#f7fcb9,#d9f0a3,#addd8e,#78c679,#41ab5d,#238443,#005a32"},
    {"ylgn9",
     "#ffffe5,#f7fcb9,#d9f0a3,#addd8e,#78c679,#41ab5d,#238443,#006837,#004529"},
    {"ylgnbu3", "#edf8b1,#7fcdbb,#2c7fb8"},
    {"ylgnbu4", "#ffffcc,#a1dab4,#41b6c4,#225ea8"},
    {"ylgnbu5", "#ffffcc,#a1dab4,#41b6c4,#2c7fb8,#253494"},
    {"ylgnbu6", "#ffffcc,#c7e9b4,#7fcdbb,#41b6c4,#2c7fb8,#253494"},
    {"ylgnbu7", "#ffffcc,#c7e9b4,#7fcdbb,#41b6c4,#1d91c0,#225ea8,#0c2c84"},
    {"ylgnbu8",
     "#ffffd9,#edf8b1,#c7e9b4,#7fcdbb,#41b6c4,#1d91c0,#225ea8,#0c2c84"},
    {"ylgnbu9",
     "#ffffd9,#edf8b1,#c7e9b4,#7fcdbb,#41b6c4,#1d91c0,#225ea8,#253494,#081d58"},
    {"ylorbr3", "#fff7bc,#fec44f,#d95f0e"},
    {"ylorbr4", "#ffffd4,#fed98e,#fe9929,#cc4c02"},
    {"ylorbr5", "#ffffd4,#fed98e,#fe9929,#d95f0e,#993404"},
    {"ylorbr6", "#ffffd4,#fee391,#fec44f,#fe9929,#d95f0e,#993404"},
    {"ylorbr7", "#ffffd4,#fee391,#fec44f,#fe9929,#ec7014,#cc4c02,#8c2d04"},
    {"ylorbr8",
     "#ffffe5,#fff7bc,#fee391,#fec44f,#fe9929,#ec7014,#cc4c02,#8c2d04"},
    {"ylorbr9",
     "#ffffe5,#fff7bc,#fee391,#fec44f,#fe9929,#ec7014,#cc4c02,#993404,#662506"},
    {"ylorrd3", "#ffeda0,#feb24c,#f03b20"},
    {"ylorrd4", "#ffffb2,#fecc5c,#fd8d3c,#e31a1c"},
    {"ylorrd5", "#ffffb2,#fecc5c,#fd8d3c,#f03b20,#bd0026"},
    {"ylorrd6", "#ffffb2,#fed976,#feb24c,#fd8d3c,#f03b20,#bd0026"},
    {"ylorrd7", "#ffffb2,#fed976,#feb24c,#fd8d3c,#fc4e2a,#e31a1c,#b10026"},
    {"ylorrd8",
     "#ffffcc,#ffeda0,#fed976,#feb24c,#fd8d3c,#fc4e2a,#e31a1c,#b10026"},
    {"ylorrd9", "#ffffcc,#ffeda0,#fed976,#feb24c,#fd8d3c,#fc4e2a,#e31a1c,#"
                "bd0026,#800026"}};
 
const char *color_palettes_get(const char *color_palette_name) {
  int i;
  for (i = 0; i < npalettes; i++){
    if (strcmp(color_palette_name, color_palettes[i][0]) == 0){
      return color_palettes[i][1];
    }
  }
  return NULL;
}
 
static bool color_palettes_Q(const char *color_palette_name) {
  return color_palettes_get(color_palette_name) != NULL;
}
 
bool knownColorScheme(const char *name) {
  int r, g, b;
 
  return streq(name, "rgb") || streq(name, "lab") || streq(name, "gray") ||
         color_palettes_Q(name) ||
         sscanf(name, "#%02X%02X%02X", &r, &g, &b) == 3;
}
 
const float palette_pastel[1001][3] = {{0.984313725490196f, 0.7058823529411764f, 0.6823529411764706f}, 
                                 {0.9831843137254901f, 0.7062745098039215f, 0.6831843137254903f}, 
                                 {0.9820549019607843f, 0.7066666666666666f, 0.6840156862745098f}, 
                                 {0.9809254901960783f, 0.7070588235294117f, 0.6848470588235295f}, 
                                 {0.9797960784313725f, 0.7074509803921568f, 0.685678431372549f}, 
                                 {0.9786666666666666f, 0.7078431372549019f, 0.6865098039215687f}, 
                                 {0.9775372549019608f, 0.708235294117647f, 0.6873411764705882f}, 
                                 {0.9764078431372548f, 0.7086274509803921f, 0.6881725490196079f}, 
                                 {0.975278431372549f, 0.7090196078431372f, 0.6890039215686274f}, 
                                 {0.9741490196078431f, 0.7094117647058823f, 0.6898352941176471f}, 
                                 {0.9730196078431372f, 0.7098039215686274f, 0.6906666666666667f}, 
                                 {0.9718901960784313f, 0.7101960784313724f, 0.6914980392156863f}, 
                                 {0.9707607843137255f, 0.7105882352941176f, 0.6923294117647059f}, 
                                 {0.9696313725490195f, 0.7109803921568627f, 0.6931607843137255f}, 
                                 {0.9685019607843137f, 0.7113725490196078f, 0.6939921568627451f}, 
                                 {0.9673725490196078f, 0.7117647058823529f, 0.6948235294117647f}, 
                                 {0.9662431372549019f, 0.7121568627450979f, 0.6956549019607843f}, 
                                 {0.965113725490196f, 0.7125490196078431f, 0.6964862745098039f}, 
                                 {0.9639843137254901f, 0.7129411764705882f, 0.6973176470588236f}, 
                                 {0.9628549019607843f, 0.7133333333333333f, 0.6981490196078431f}, 
                                 {0.9617254901960783f, 0.7137254901960783f, 0.6989803921568628f}, 
                                 {0.9605960784313725f, 0.7141176470588235f, 0.6998117647058824f}, 
                                 {0.9594666666666666f, 0.7145098039215686f, 0.700643137254902f}, 
                                 {0.9583372549019608f, 0.7149019607843137f, 0.7014745098039216f}, 
                                 {0.9572078431372548f, 0.7152941176470587f, 0.7023058823529412f}, 
                                 {0.956078431372549f, 0.7156862745098038f, 0.7031372549019608f}, 
                                 {0.9549490196078431f, 0.716078431372549f, 0.7039686274509804f}, 
                                 {0.9538196078431372f, 0.7164705882352941f, 0.7048f}, 
                                 {0.9526901960784313f, 0.7168627450980392f, 0.7056313725490196f}, 
                                 {0.9515607843137255f, 0.7172549019607842f, 0.7064627450980392f}, 
                                 {0.9504313725490195f, 0.7176470588235293f, 0.7072941176470589f}, 
                                 {0.9493019607843136f, 0.7180392156862745f, 0.7081254901960784f}, 
                                 {0.9481725490196078f, 0.7184313725490196f, 0.7089568627450981f}, 
                                 {0.9470431372549019f, 0.7188235294117646f, 0.7097882352941176f}, 
                                 {0.945913725490196f, 0.7192156862745097f, 0.7106196078431373f}, 
                                 {0.9447843137254901f, 0.7196078431372549f, 0.7114509803921569f}, 
                                 {0.9436549019607843f, 0.72f, 0.7122823529411765f}, 
                                 {0.9425254901960783f, 0.720392156862745f, 0.7131137254901961f}, 
                                 {0.9413960784313725f, 0.7207843137254901f, 0.7139450980392157f}, 
                                 {0.9402666666666666f, 0.7211764705882352f, 0.7147764705882353f}, 
                                 {0.9391372549019608f, 0.7215686274509804f, 0.7156078431372549f}, 
                                 {0.9380078431372548f, 0.7219607843137255f, 0.7164392156862746f}, 
                                 {0.936878431372549f, 0.7223529411764705f, 0.7172705882352941f}, 
                                 {0.9357490196078431f, 0.7227450980392156f, 0.7181019607843138f}, 
                                 {0.9346196078431372f, 0.7231372549019608f, 0.7189333333333333f}, 
                                 {0.9334901960784313f, 0.7235294117647059f, 0.719764705882353f}, 
                                 {0.9323607843137255f, 0.7239215686274509f, 0.7205960784313725f}, 
                                 {0.9312313725490196f, 0.724313725490196f, 0.7214274509803922f}, 
                                 {0.9301019607843136f, 0.7247058823529411f, 0.7222588235294117f}, 
                                 {0.9289725490196078f, 0.7250980392156863f, 0.7230901960784314f}, 
                                 {0.9278431372549019f, 0.7254901960784313f, 0.7239215686274509f}, 
                                 {0.926713725490196f, 0.7258823529411764f, 0.7247529411764706f}, 
                                 {0.9255843137254901f, 0.7262745098039215f, 0.7255843137254903f}, 
                                 {0.9244549019607843f, 0.7266666666666666f, 0.7264156862745098f}, 
                                 {0.9233254901960783f, 0.7270588235294118f, 0.7272470588235294f}, 
                                 {0.9221960784313725f, 0.7274509803921568f, 0.728078431372549f}, 
                                 {0.9210666666666666f, 0.7278431372549019f, 0.7289098039215687f}, 
                                 {0.9199372549019608f, 0.728235294117647f, 0.7297411764705882f}, 
                                 {0.9188078431372548f, 0.7286274509803922f, 0.7305725490196079f}, 
                                 {0.917678431372549f, 0.7290196078431372f, 0.7314039215686274f}, 
                                 {0.9165490196078431f, 0.7294117647058823f, 0.7322352941176471f}, 
                                 {0.9154196078431371f, 0.7298039215686274f, 0.7330666666666666f}, 
                                 {0.9142901960784313f, 0.7301960784313725f, 0.7338980392156863f}, 
                                 {0.9131607843137255f, 0.7305882352941176f, 0.7347294117647059f}, 
                                 {0.9120313725490196f, 0.7309803921568627f, 0.7355607843137255f}, 
                                 {0.9109019607843136f, 0.7313725490196078f, 0.7363921568627451f}, 
                                 {0.9097725490196078f, 0.7317647058823529f, 0.7372235294117647f}, 
                                 {0.9086431372549019f, 0.7321568627450981f, 0.7380549019607843f}, 
                                 {0.907513725490196f, 0.7325490196078431f, 0.7388862745098039f}, 
                                 {0.9063843137254901f, 0.7329411764705882f, 0.7397176470588236f}, 
                                 {0.9052549019607843f, 0.7333333333333333f, 0.7405490196078431f}, 
                                 {0.9041254901960784f, 0.7337254901960784f, 0.7413803921568628f}, 
                                 {0.9029960784313725f, 0.7341176470588235f, 0.7422117647058823f}, 
                                 {0.9018666666666666f, 0.7345098039215686f, 0.743043137254902f}, 
                                 {0.9007372549019608f, 0.7349019607843137f, 0.7438745098039216f}, 
                                 {0.8996078431372548f, 0.7352941176470588f, 0.7447058823529412f}, 
                                 {0.898478431372549f, 0.7356862745098038f, 0.7455372549019608f}, 
                                 {0.8973490196078431f, 0.736078431372549f, 0.7463686274509804f}, 
                                 {0.8962196078431373f, 0.7364705882352941f, 0.7472f}, 
                                 {0.8950901960784313f, 0.7368627450980392f, 0.7480313725490196f}, 
                                 {0.8939607843137254f, 0.7372549019607842f, 0.7488627450980392f}, 
                                 {0.8928313725490196f, 0.7376470588235293f, 0.7496941176470588f}, 
                                 {0.8917019607843136f, 0.7380392156862745f, 0.7505254901960784f}, 
                                 {0.8905725490196078f, 0.7384313725490196f, 0.751356862745098f}, 
                                 {0.8894431372549019f, 0.7388235294117647f, 0.7521882352941176f}, 
                                 {0.888313725490196f, 0.7392156862745097f, 0.7530196078431373f}, 
                                 {0.8871843137254901f, 0.7396078431372549f, 0.7538509803921569f}, 
                                 {0.8860549019607843f, 0.74f, 0.7546823529411765f}, 
                                 {0.8849254901960784f, 0.7403921568627451f, 0.755513725490196f}, 
                                 {0.8837960784313725f, 0.7407843137254901f, 0.7563450980392157f}, 
                                 {0.8826666666666666f, 0.7411764705882352f, 0.7571764705882353f}, 
                                 {0.8815372549019608f, 0.7415686274509804f, 0.7580078431372549f}, 
                                 {0.8804078431372548f, 0.7419607843137255f, 0.7588392156862745f}, 
                                 {0.879278431372549f, 0.7423529411764705f, 0.7596705882352941f}, 
                                 {0.8781490196078431f, 0.7427450980392156f, 0.7605019607843138f}, 
                                 {0.8770196078431372f, 0.7431372549019608f, 0.7613333333333333f}, 
                                 {0.8758901960784313f, 0.7435294117647059f, 0.762164705882353f}, 
                                 {0.8747607843137254f, 0.743921568627451f, 0.7629960784313725f}, 
                                 {0.8736313725490196f, 0.744313725490196f, 0.7638274509803922f}, 
                                 {0.8725019607843136f, 0.7447058823529411f, 0.7646588235294117f}, 
                                 {0.8713725490196078f, 0.7450980392156863f, 0.7654901960784314f}, 
                                 {0.8702431372549019f, 0.7454901960784314f, 0.7663215686274509f}, 
                                 {0.869113725490196f, 0.7458823529411764f, 0.7671529411764706f}, 
                                 {0.8679843137254901f, 0.7462745098039215f, 0.7679843137254903f}, 
                                 {0.8668549019607843f, 0.7466666666666666f, 0.7688156862745098f}, 
                                 {0.8657254901960784f, 0.7470588235294118f, 0.7696470588235294f}, 
                                 {0.8645960784313725f, 0.7474509803921568f, 0.770478431372549f}, 
                                 {0.8634666666666666f, 0.7478431372549019f, 0.7713098039215687f}, 
                                 {0.8623372549019608f, 0.748235294117647f, 0.7721411764705882f}, 
                                 {0.8612078431372548f, 0.7486274509803922f, 0.7729725490196078f}, 
                                 {0.8600784313725489f, 0.7490196078431373f, 0.7738039215686274f}, 
                                 {0.8589490196078431f, 0.7494117647058823f, 0.7746352941176471f}, 
                                 {0.8578196078431373f, 0.7498039215686274f, 0.7754666666666666f}, 
                                 {0.8566901960784313f, 0.7501960784313725f, 0.7762980392156863f}, 
                                 {0.8555607843137254f, 0.7505882352941177f, 0.7771294117647058f}, 
                                 {0.8544313725490196f, 0.7509803921568627f, 0.7779607843137255f}, 
                                 {0.8533019607843136f, 0.7513725490196078f, 0.778792156862745f}, 
                                 {0.8521725490196078f, 0.7517647058823529f, 0.7796235294117647f}, 
                                 {0.8510431372549019f, 0.7521568627450981f, 0.7804549019607843f}, 
                                 {0.8499137254901961f, 0.7525490196078432f, 0.7812862745098039f}, 
                                 {0.8487843137254901f, 0.7529411764705882f, 0.7821176470588235f}, 
                                 {0.8476549019607843f, 0.7533333333333333f, 0.7829490196078431f}, 
                                 {0.8465254901960784f, 0.7537254901960784f, 0.7837803921568627f}, 
                                 {0.8453960784313725f, 0.7541176470588236f, 0.7846117647058823f}, 
                                 {0.8442666666666666f, 0.7545098039215686f, 0.785443137254902f}, 
                                 {0.8431372549019607f, 0.7549019607843137f, 0.7862745098039216f}, 
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                                 {0.8926745098039216f, 0.8057411764705882f, 0.8513254901960783f}, 
                                 {0.8931764705882353f, 0.8059607843137254f, 0.8503529411764705f}, 
                                 {0.8936784313725491f, 0.8061803921568627f, 0.8493803921568627f}, 
                                 {0.8941803921568627f, 0.8064f, 0.8484078431372548f}, 
                                 {0.8946823529411765f, 0.8066196078431372f, 0.847435294117647f}, 
                                 {0.8951843137254902f, 0.8068392156862745f, 0.8464627450980391f}, 
                                 {0.895686274509804f, 0.8070588235294117f, 0.8454901960784312f}, 
                                 {0.8961882352941177f, 0.807278431372549f, 0.8445176470588235f}, 
                                 {0.8966901960784314f, 0.8074980392156862f, 0.8435450980392156f}, 
                                 {0.8971921568627451f, 0.8077176470588235f, 0.8425725490196078f}, 
                                 {0.8976941176470589f, 0.8079372549019608f, 0.8415999999999999f}, 
                                 {0.8981960784313726f, 0.808156862745098f, 0.840627450980392f}, 
                                 {0.8986980392156864f, 0.8083764705882353f, 0.8396549019607842f}, 
                                 {0.8992f, 0.8085960784313725f, 0.8386823529411763f}, 
                                 {0.8997019607843137f, 0.8088156862745097f, 0.8377098039215686f}, 
                                 {0.9002039215686275f, 0.8090352941176471f, 0.8367372549019607f}, 
                                 {0.9007058823529412f, 0.8092549019607843f, 0.8357647058823529f}, 
                                 {0.901207843137255f, 0.8094745098039215f, 0.834792156862745f}, 
                                 {0.9017098039215686f, 0.8096941176470588f, 0.8338196078431371f}, 
                                 {0.9022117647058824f, 0.809913725490196f, 0.8328470588235293f}, 
                                 {0.9027137254901961f, 0.8101333333333333f, 0.8318745098039215f}, 
                                 {0.9032156862745099f, 0.8103529411764706f, 0.8309019607843137f}, 
                                 {0.9037176470588236f, 0.8105725490196078f, 0.8299294117647058f}, 
                                 {0.9042196078431373f, 0.8107921568627451f, 0.8289568627450979f}, 
                                 {0.904721568627451f, 0.8110117647058823f, 0.8279843137254901f}, 
                                 {0.9052235294117648f, 0.8112313725490196f, 0.8270117647058822f}, 
                                 {0.9057254901960785f, 0.8114509803921568f, 0.8260392156862744f}, 
                                 {0.9062274509803923f, 0.811670588235294f, 0.8250666666666666f}, 
                                 {0.9067294117647059f, 0.8118901960784314f, 0.8240941176470588f}, 
                                 {0.9072313725490196f, 0.8121098039215686f, 0.8231215686274509f}, 
                                 {0.9077333333333334f, 0.8123294117647059f, 0.822149019607843f}, 
                                 {0.9082352941176471f, 0.8125490196078431f, 0.8211764705882352f}, 
                                 {0.9087372549019608f, 0.8127686274509803f, 0.8202039215686273f}, 
                                 {0.9092392156862745f, 0.8129882352941176f, 0.8192313725490195f}, 
                                 {0.9097411764705883f, 0.8132078431372549f, 0.8182588235294117f}, 
                                 {0.910243137254902f, 0.8134274509803922f, 0.8172862745098038f}, 
                                 {0.9107450980392158f, 0.8136470588235294f, 0.816313725490196f}, 
                                 {0.9112470588235295f, 0.8138666666666666f, 0.8153411764705881f}, 
                                 {0.9117490196078432f, 0.8140862745098039f, 0.8143686274509803f}, 
                                 {0.9122509803921569f, 0.8143058823529411f, 0.8133960784313725f}, 
                                 {0.9127529411764705f, 0.8145254901960783f, 0.8124235294117647f}, 
                                 {0.9132549019607843f, 0.8147450980392157f, 0.8114509803921569f}, 
                                 {0.913756862745098f, 0.8149647058823529f, 0.810478431372549f}, 
                                 {0.9142588235294118f, 0.8151843137254902f, 0.8095058823529412f}, 
                                 {0.9147607843137255f, 0.8154039215686274f, 0.8085333333333333f}, 
                                 {0.9152627450980392f, 0.8156235294117646f, 0.8075607843137255f}, 
                                 {0.9157647058823529f, 0.8158431372549019f, 0.8065882352941176f}, 
                                 {0.9162666666666667f, 0.8160627450980391f, 0.8056156862745099f}, 
                                 {0.9167686274509804f, 0.8162823529411765f, 0.804643137254902f}, 
                                 {0.9172705882352941f, 0.8165019607843137f, 0.8036705882352941f}, 
                                 {0.9177725490196078f, 0.8167215686274509f, 0.8026980392156863f}, 
                                 {0.9182745098039216f, 0.8169411764705882f, 0.8017254901960784f}, 
                                 {0.9187764705882353f, 0.8171607843137254f, 0.8007529411764706f}, 
                                 {0.919278431372549f, 0.8173803921568626f, 0.7997803921568627f}, 
                                 {0.9197803921568628f, 0.8176f, 0.798807843137255f}, 
                                 {0.9202823529411764f, 0.8178196078431372f, 0.7978352941176471f}, 
                                 {0.9207843137254902f, 0.8180392156862745f, 0.7968627450980392f}, 
                                 {0.9212862745098039f, 0.8182588235294117f, 0.7958901960784314f}, 
                                 {0.9217882352941177f, 0.8184784313725489f, 0.7949176470588235f}, 
                                 {0.9222901960784313f, 0.8186980392156862f, 0.7939450980392156f}, 
                                 {0.9227921568627451f, 0.8189176470588235f, 0.7929725490196078f}, 
                                 {0.9232941176470588f, 0.8191372549019608f, 0.792f}, 
                                 {0.9237960784313726f, 0.819356862745098f, 0.7910274509803922f}, 
                                 {0.9242980392156863f, 0.8195764705882352f, 0.7900549019607843f}, 
                                 {0.9248f, 0.8197960784313725f, 0.7890823529411765f}, 
                                 {0.9253019607843137f, 0.8200156862745097f, 0.7881098039215686f}, 
                                 {0.9258039215686275f, 0.8202352941176471f, 0.7871372549019607f}, 
                                 {0.9263058823529412f, 0.8204549019607843f, 0.7861647058823529f}, 
                                 {0.926807843137255f, 0.8206745098039215f, 0.7851921568627451f}, 
                                 {0.9273098039215686f, 0.8208941176470588f, 0.7842196078431373f}, 
                                 {0.9278117647058823f, 0.821113725490196f, 0.7832470588235294f}, 
                                 {0.9283137254901961f, 0.8213333333333332f, 0.7822745098039215f}, 
                                 {0.9288156862745098f, 0.8215529411764706f, 0.7813019607843137f}, 
                                 {0.9293176470588236f, 0.8217725490196078f, 0.7803294117647058f}, 
                                 {0.9298196078431372f, 0.8219921568627451f, 0.779356862745098f}, 
                                 {0.930321568627451f, 0.8222117647058823f, 0.7783843137254902f}, 
                                 {0.9308235294117647f, 0.8224313725490195f, 0.7774117647058824f}, 
                                 {0.9313254901960785f, 0.8226509803921568f, 0.7764392156862745f}, 
                                 {0.9318274509803922f, 0.822870588235294f, 0.7754666666666666f}, 
                                 {0.9323294117647059f, 0.8230901960784314f, 0.7744941176470588f}, 
                                 {0.9328313725490196f, 0.8233098039215686f, 0.7735215686274509f}, 
                                 {0.9333333333333333f, 0.8235294117647058f, 0.7725490196078431f}, 
                                 {0.9338352941176471f, 0.8237490196078431f, 0.7715764705882353f}, 
                                 {0.9343372549019608f, 0.8239686274509803f, 0.7706039215686274f}, 
                                 {0.9348392156862745f, 0.8241882352941177f, 0.7696313725490196f}, 
                                 {0.9353411764705882f, 0.8244078431372549f, 0.7686588235294117f}, 
                                 {0.935843137254902f, 0.8246274509803921f, 0.7676862745098039f}, 
                                 {0.9363450980392157f, 0.8248470588235294f, 0.7667137254901961f}, 
                                 {0.9368470588235295f, 0.8250666666666666f, 0.7657411764705881f}, 
                                 {0.9373490196078431f, 0.8252862745098039f, 0.7647686274509804f}, 
                                 {0.9378509803921569f, 0.8255058823529411f, 0.7637960784313725f}, 
                                 {0.9383529411764706f, 0.8257254901960784f, 0.7628235294117647f}, 
                                 {0.9388549019607844f, 0.8259450980392157f, 0.7618509803921568f}, 
                                 {0.9393568627450981f, 0.8261647058823529f, 0.760878431372549f}, 
                                 {0.9398588235294117f, 0.8263843137254901f, 0.7599058823529412f}, 
                                 {0.9403607843137255f, 0.8266039215686274f, 0.7589333333333332f}, 
                                 {0.9408627450980392f, 0.8268235294117646f, 0.7579607843137255f}, 
                                 {0.941364705882353f, 0.827043137254902f, 0.7569882352941176f}, 
                                 {0.9418666666666666f, 0.8272627450980392f, 0.7560156862745098f}, 
                                 {0.9423686274509804f, 0.8274823529411764f, 0.7550431372549019f}, 
                                 {0.9428705882352941f, 0.8277019607843137f, 0.754070588235294f}, 
                                 {0.9433725490196079f, 0.8279215686274509f, 0.7530980392156863f}, 
                                 {0.9438745098039216f, 0.8281411764705882f, 0.7521254901960783f}, 
                                 {0.9443764705882354f, 0.8283607843137255f, 0.7511529411764706f}, 
                                 {0.944878431372549f, 0.8285803921568627f, 0.7501803921568627f}, 
                                 {0.9453803921568628f, 0.8288f, 0.7492078431372549f}, 
                                 {0.9458823529411765f, 0.8290196078431372f, 0.748235294117647f}, 
                                 {0.9463843137254903f, 0.8292392156862745f, 0.7472627450980391f}, 
                                 {0.9468862745098039f, 0.8294588235294117f, 0.7462901960784314f}, 
                                 {0.9473882352941176f, 0.8296784313725489f, 0.7453176470588235f}, 
                                 {0.9478901960784314f, 0.8298980392156863f, 0.7443450980392157f}, 
                                 {0.9483921568627451f, 0.8301176470588235f, 0.7433725490196078f}, 
                                 {0.9488941176470589f, 0.8303372549019608f, 0.7424f}, 
                                 {0.9493960784313726f, 0.830556862745098f, 0.7414274509803921f}, 
                                 {0.9498980392156863f, 0.8307764705882352f, 0.7404549019607842f}, 
                                 {0.9504f, 0.8309960784313726f, 0.7394823529411765f}, 
                                 {0.9509019607843138f, 0.8312156862745098f, 0.7385098039215686f}, 
                                 {0.9514039215686275f, 0.831435294117647f, 0.7375372549019608f}, 
                                 {0.9519058823529412f, 0.8316549019607843f, 0.7365647058823529f}, 
                                 {0.9524078431372549f, 0.8318745098039215f, 0.735592156862745f}, 
                                 {0.9529098039215687f, 0.8320941176470588f, 0.7346196078431372f}, 
                                 {0.9534117647058824f, 0.832313725490196f, 0.7336470588235293f}, 
                                 {0.9539137254901962f, 0.8325333333333333f, 0.7326745098039216f}, 
                                 {0.9544156862745098f, 0.8327529411764706f, 0.7317019607843137f}, 
                                 {0.9549176470588235f, 0.8329725490196078f, 0.7307294117647058f}, 
                                 {0.9554196078431373f, 0.8331921568627451f, 0.729756862745098f}, 
                                 {0.955921568627451f, 0.8334117647058823f, 0.7287843137254901f}, 
                                 {0.9564235294117648f, 0.8336313725490195f, 0.7278117647058823f}, 
                                 {0.9569254901960784f, 0.8338509803921569f, 0.7268392156862744f}, 
                                 {0.9574274509803922f, 0.8340705882352941f, 0.7258666666666667f}, 
                                 {0.9579294117647059f, 0.8342901960784314f, 0.7248941176470588f}, 
                                 {0.9584313725490197f, 0.8345098039215686f, 0.7239215686274509f}, 
                                 {0.9589333333333334f, 0.8347294117647058f, 0.7229490196078431f}, 
                                 {0.959435294117647f, 0.8349490196078431f, 0.7219764705882352f}, 
                                 {0.9599372549019608f, 0.8351686274509804f, 0.7210039215686274f}, 
                                 {0.9604392156862745f, 0.8353882352941177f, 0.7200313725490195f}, 
                                 {0.9609411764705883f, 0.8356078431372549f, 0.7190588235294118f}, 
                                 {0.961443137254902f, 0.8358274509803921f, 0.7180862745098039f}, 
                                 {0.9619450980392157f, 0.8360470588235294f, 0.717113725490196f}, 
                                 {0.9624470588235294f, 0.8362666666666666f, 0.7161411764705882f}, 
                                 {0.9629490196078432f, 0.836486274509804f, 0.7151686274509803f}, 
                                 {0.9634509803921569f, 0.8367058823529412f, 0.7141960784313726f}, 
                                 {0.9639529411764707f, 0.8369254901960784f, 0.7132235294117646f}, 
                                 {0.9644549019607843f, 0.8371450980392157f, 0.7122509803921568f}, 
                                 {0.9649568627450981f, 0.8373647058823529f, 0.711278431372549f}, 
                                 {0.9654588235294118f, 0.8375843137254901f, 0.7103058823529411f}, 
                                 {0.9659607843137256f, 0.8378039215686275f, 0.7093333333333333f}, 
                                 {0.9664627450980392f, 0.8380235294117647f, 0.7083607843137254f}, 
                                 {0.966964705882353f, 0.838243137254902f, 0.7073882352941177f}, 
                                 {0.9674666666666667f, 0.8384627450980392f, 0.7064156862745097f}, 
                                 {0.9679686274509804f, 0.8386823529411764f, 0.7054431372549019f}, 
                                 {0.9684705882352942f, 0.8389019607843137f, 0.7044705882352941f}, 
                                 {0.9689725490196079f, 0.8391215686274509f, 0.7034980392156862f}, 
                                 {0.9694745098039216f, 0.8393411764705883f, 0.7025254901960784f}, 
                                 {0.9699764705882353f, 0.8395607843137255f, 0.7015529411764705f}, 
                                 {0.9704784313725491f, 0.8397803921568627f, 0.7005803921568627f}, 
                                 {0.9709803921568628f, 0.84f, 0.6996078431372548f}, 
                                 {0.9714823529411765f, 0.8402196078431372f, 0.698635294117647f}, 
                                 {0.9719843137254902f, 0.8404392156862744f, 0.6976627450980392f}, 
                                 {0.972486274509804f, 0.8406588235294118f, 0.6966901960784313f}, 
                                 {0.9729882352941177f, 0.840878431372549f, 0.6957176470588234f}, 
                                 {0.9734901960784315f, 0.8410980392156863f, 0.6947450980392156f}, 
                                 {0.9739921568627452f, 0.8413176470588235f, 0.6937725490196078f}, 
                                 {0.9744941176470588f, 0.8415372549019607f, 0.6928f}, 
                                 {0.9749960784313726f, 0.841756862745098f, 0.6918274509803921f}, 
                                 {0.9754980392156863f, 0.8419764705882353f, 0.6908549019607843f}, 
                                 {0.976f, 0.8421960784313725f, 0.6898823529411765f}, 
                                 {0.9765019607843137f, 0.8424156862745098f, 0.6889098039215686f}, 
                                 {0.9770039215686275f, 0.842635294117647f, 0.6879372549019608f}, 
                                 {0.9775058823529412f, 0.8428549019607843f, 0.6869647058823529f}, 
                                 {0.9780078431372549f, 0.8430745098039215f, 0.6859921568627452f}, 
                                 {0.9785098039215686f, 0.8432941176470587f, 0.6850196078431373f}, 
                                 {0.9790117647058824f, 0.8435137254901961f, 0.6840470588235295f}, 
                                 {0.9795137254901961f, 0.8437333333333333f, 0.6830745098039216f}, 
                                 {0.9800156862745097f, 0.8439529411764706f, 0.6821019607843137f}, 
                                 {0.9805176470588235f, 0.8441725490196078f, 0.681129411764706f}, 
                                 {0.9810196078431372f, 0.844392156862745f, 0.680156862745098f}, 
                                 {0.981521568627451f, 0.8446117647058823f, 0.6791843137254903f}, 
                                 {0.9820235294117647f, 0.8448313725490195f, 0.6782117647058824f}, 
                                 {0.9825254901960785f, 0.8450509803921569f, 0.6772392156862745f}, 
                                 {0.9830274509803921f, 0.8452705882352941f, 0.6762666666666667f}, 
                                 {0.9835294117647059f, 0.8454901960784313f, 0.6752941176470588f}, 
                                 {0.9840313725490196f, 0.8457098039215686f, 0.6743215686274511f}, 
                                 {0.9845333333333334f, 0.8459294117647058f, 0.6733490196078431f}, 
                                 {0.985035294117647f, 0.8461490196078431f, 0.6723764705882354f}, 
                                 {0.9855372549019608f, 0.8463686274509804f, 0.6714039215686275f}, 
                                 {0.9860392156862745f, 0.8465882352941176f, 0.6704313725490196f}, 
                                 {0.9865411764705883f, 0.8468078431372549f, 0.6694588235294118f}, 
                                 {0.987043137254902f, 0.8470274509803921f, 0.6684862745098039f}, 
                                 {0.9875450980392158f, 0.8472470588235294f, 0.6675137254901962f}, 
                                 {0.9880470588235294f, 0.8474666666666666f, 0.6665411764705883f}, 
                                 {0.9885490196078431f, 0.8476862745098039f, 0.6655686274509804f}, 
                                 {0.9890509803921569f, 0.8479058823529412f, 0.6645960784313726f}, 
                                 {0.9895529411764706f, 0.8481254901960784f, 0.6636235294117647f}, 
                                 {0.9900549019607843f, 0.8483450980392157f, 0.6626509803921569f}, 
                                 {0.990556862745098f, 0.8485647058823529f, 0.661678431372549f}, 
                                 {0.9910588235294118f, 0.8487843137254901f, 0.6607058823529413f}, 
                                 {0.9915607843137255f, 0.8490039215686275f, 0.6597333333333334f}, 
                                 {0.9920627450980393f, 0.8492235294117647f, 0.6587607843137255f}, 
                                 {0.9925647058823529f, 0.849443137254902f, 0.6577882352941177f}, 
                                 {0.9930666666666667f, 0.8496627450980392f, 0.6568156862745098f}, 
                                 {0.9935686274509804f, 0.8498823529411764f, 0.655843137254902f}, 
                                 {0.9940705882352942f, 0.8501019607843137f, 0.6548705882352941f}, 
                                 {0.9945725490196079f, 0.850321568627451f, 0.6538980392156863f}, 
                                 {0.9950745098039215f, 0.8505411764705882f, 0.6529254901960785f}, 
                                 {0.9955764705882353f, 0.8507607843137255f, 0.6519529411764706f}, 
                                 {0.996078431372549f, 0.8509803921568627f, 0.6509803921568628f}};
 
const float palette_blue_to_yellow[1001][3]={{0.f, 0.f, 1.f}, {0.001f, 0.001f, 0.999f}, {0.002f, 0.002f, 0.998f}, 
                                       {0.003f, 0.003f, 0.997f}, {0.004f, 0.004f, 0.996f}, {0.005f, 0.005f, 0.995f}, 
                                       {0.006f, 0.006f, 0.994f}, {0.007f, 0.007f, 0.993f}, {0.008f, 0.008f, 0.992f}, 
                                       {0.009000000000000001f, 0.009000000000000001f, 0.991f}, {0.01f, 0.01f, 0.99f}, 
                                       {0.011f, 0.011f, 0.989f}, {0.012f, 0.012f, 0.988f}, 
                                       {0.013000000000000001f, 0.013000000000000001f, 0.987f}, {0.014f, 0.014f, 0.986f}, 
                                       {0.015f, 0.015f, 0.985f}, {0.016f, 0.016f, 0.984f}, {0.017f, 0.017f, 0.983f}, 
                                       {0.018000000000000002f, 0.018000000000000002f, 0.982f}, {0.019f, 0.019f, 0.981f}, 
                                       {0.02f, 0.02f, 0.98f}, {0.021f, 0.021f, 0.979f}, {0.022f, 0.022f, 0.978f}, 
                                       {0.023f, 0.023f, 0.977f}, {0.024f, 0.024f, 0.976f}, {0.025f, 0.025f, 0.975f}, 
                                       {0.026000000000000002f, 0.026000000000000002f, 0.974f}, {0.027f, 0.027f, 0.973f}, 
                                       {0.028f, 0.028f, 0.972f}, {0.029f, 0.029f, 0.971f}, {0.03f, 0.03f, 0.97f}, 
                                       {0.031f, 0.031f, 0.969f}, {0.032f, 0.032f, 0.968f}, {0.033f, 0.033f, 0.967f}, 
                                       {0.034f, 0.034f, 0.966f}, {0.035f, 0.035f, 0.965f}, 
                                       {0.036000000000000004f, 0.036000000000000004f, 0.964f}, {0.037f, 0.037f, 0.963f}, 
                                       {0.038f, 0.038f, 0.962f}, {0.039f, 0.039f, 0.961f}, {0.04f, 0.04f, 0.96f}, 
                                       {0.041f, 0.041f, 0.959f}, {0.042f, 0.042f, 0.958f}, 
                                       {0.043000000000000003f, 0.043000000000000003f, 0.957f}, {0.044f, 0.044f, 0.956f}, 
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                                       {0.051000000000000004f, 0.051000000000000004f, 0.949f}, 
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                                       {0.054f, 0.054f, 0.946f}, {0.055f, 0.055f, 0.945f}, {0.056f, 0.056f, 0.944f}, 
                                       {0.057f, 0.057f, 0.943f}, {0.058f, 0.058f, 0.942f}, 
                                       {0.059000000000000004f, 0.059000000000000004f, 0.941f}, {0.06f, 0.06f, 0.94f}, 
                                       {0.061f, 0.061f, 0.9390000000000001f}, {0.062f, 0.062f, 0.938f}, 
                                       {0.063f, 0.063f, 0.937f}, {0.064f, 0.064f, 0.9359999999999999f}, 
                                       {0.065f, 0.065f, 0.935f}, {0.066f, 0.066f, 0.9339999999999999f}, 
                                       {0.067f, 0.067f, 0.933f}, {0.068f, 0.068f, 0.9319999999999999f}, 
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                                       {0.07100000000000001f, 0.07100000000000001f, 0.929f}, 
                                       {0.07200000000000001f, 0.07200000000000001f, 0.9279999999999999f}, 
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                                       {0.076f, 0.076f, 0.924f}, {0.077f, 0.077f, 0.923f}, {0.078f, 0.078f, 0.922f}, 
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                                       {0.095f, 0.095f, 0.905f}, {0.096f, 0.096f, 0.904f}, {0.097f, 0.097f, 0.903f}, 
                                       {0.098f, 0.098f, 0.902f}, {0.099f, 0.099f, 0.901f}, {0.1f, 0.1f, 0.9f}, 
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                                       {0.10300000000000001f, 0.10300000000000001f, 0.897f}, 
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                                       {0.106f, 0.106f, 0.894f}, {0.107f, 0.107f, 0.893f}, {0.108f, 0.108f, 0.892f}, 
                                       {0.109f, 0.109f, 0.891f}, {0.11f, 0.11f, 0.89f}, {0.111f, 0.111f, 0.889f}, 
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                                       {0.115f, 0.115f, 0.885f}, {0.116f, 0.116f, 0.884f}, {0.117f, 0.117f, 0.883f}, 
                                       {0.11800000000000001f, 0.11800000000000001f, 0.882f}, 
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                                       {0.121f, 0.121f, 0.879f}, {0.122f, 0.122f, 0.878f}, {0.123f, 0.123f, 0.877f}, 
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                                       {0.127f, 0.127f, 0.873f}, {0.128f, 0.128f, 0.872f}, {0.129f, 0.129f, 0.871f}, 
                                       {0.13f, 0.13f, 0.87f}, {0.131f, 0.131f, 0.869f}, {0.132f, 0.132f, 0.868f}, 
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                                       {0.136f, 0.136f, 0.864f}, {0.137f, 0.137f, 0.863f}, {0.138f, 0.138f, 0.862f}, 
                                       {0.139f, 0.139f, 0.861f}, {0.14f, 0.14f, 0.86f}, {0.14100000000000001f, 
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                                       {0.158f, 0.158f, 0.842f}, {0.159f, 0.159f, 0.841f}, {0.16f, 0.16f, 0.84f}, 
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                                       {0.164f, 0.164f, 0.836f}, {0.165f, 0.165f, 0.835f}, {0.166f, 0.166f, 0.834f}, 
                                       {0.167f, 0.167f, 0.833f}, {0.168f, 0.168f, 0.832f}, {0.169f, 0.169f, 0.831f}, 
                                       {0.17f, 0.17f, 0.83f}, {0.171f, 0.171f, 0.829f}, {0.17200000000000001f, 
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                                       {0.17500000000000002f, 0.17500000000000002f, 0.825f}, 
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                                       {0.178f, 0.178f, 0.8220000000000001f}, {0.179f, 0.179f, 0.821f}, 
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                                       {0.182f, 0.182f, 0.8180000000000001f}, {0.183f, 0.183f, 0.817f}, 
                                       {0.184f, 0.184f, 0.8160000000000001f}, {0.185f, 0.185f, 0.815f}, 
                                       {0.186f, 0.186f, 0.8140000000000001f}, {0.187f, 0.187f, 0.813f}, 
                                       {0.188f, 0.188f, 0.812f}, {0.189f, 0.189f, 0.8109999999999999f}, 
                                       {0.19f, 0.19f, 0.81f}, {0.191f, 0.191f, 0.8089999999999999f}, 
                                       {0.192f, 0.192f, 0.808f}, {0.193f, 0.193f, 0.8069999999999999f}, 
                                       {0.194f, 0.194f, 0.806f}, {0.195f, 0.195f, 0.8049999999999999f}, 
                                       {0.196f, 0.196f, 0.804f}, {0.197f, 0.197f, 0.8029999999999999f}, 
                                       {0.198f, 0.198f, 0.802f}, {0.199f, 0.199f, 0.8009999999999999f}, {0.2f, 0.2f, 0.8f}, 
                                       {0.201f, 0.201f, 0.7989999999999999f}, {0.202f, 0.202f, 0.798f}, 
                                       {0.203f, 0.203f, 0.7969999999999999f}, {0.20400000000000001f, 
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                                       {0.20700000000000002f, 0.20700000000000002f, 0.7929999999999999f}, 
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                                       {0.213f, 0.213f, 0.787f}, {0.214f, 0.214f, 0.786f}, {0.215f, 0.215f, 0.785f}, 
                                       {0.216f, 0.216f, 0.784f}, {0.217f, 0.217f, 0.783f}, {0.218f, 0.218f, 0.782f}, 
                                       {0.219f, 0.219f, 0.781f}, {0.22f, 0.22f, 0.78f}, {0.221f, 0.221f, 0.779f}, 
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                                       {0.228f, 0.228f, 0.772f}, {0.229f, 0.229f, 0.771f}, {0.23f, 0.23f, 0.77f}, 
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                                       {0.234f, 0.234f, 0.766f}, {0.23500000000000001f, 0.23500000000000001f, 0.765f}, 
                                       {0.23600000000000002f, 0.23600000000000002f, 0.764f}, 
                                       {0.23700000000000002f, 0.23700000000000002f, 0.763f}, 
                                       {0.23800000000000002f, 0.23800000000000002f, 0.762f}, 
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                                       {0.241f, 0.241f, 0.759f}, {0.242f, 0.242f, 0.758f}, {0.243f, 0.243f, 0.757f}, 
                                       {0.244f, 0.244f, 0.756f}, {0.245f, 0.245f, 0.755f}, {0.246f, 0.246f, 0.754f}, 
                                       {0.247f, 0.247f, 0.753f}, {0.248f, 0.248f, 0.752f}, {0.249f, 0.249f, 0.751f}, 
                                       {0.25f, 0.25f, 0.75f}, {0.251f, 0.251f, 0.749f}, {0.252f, 0.252f, 0.748f}, 
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                                       {0.28700000000000003f, 0.28700000000000003f, 0.713f}, 
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                                       {0.297f, 0.297f, 0.7030000000000001f}, {0.298f, 0.298f, 0.702f}, 
                                       {0.299f, 0.299f, 0.7010000000000001f}, {0.3f, 0.3f, 0.7f}, 
                                       {0.301f, 0.301f, 0.6990000000000001f}, {0.302f, 0.302f, 0.698f}, 
                                       {0.303f, 0.303f, 0.6970000000000001f}, {0.304f, 0.304f, 0.696f}, 
                                       {0.305f, 0.305f, 0.6950000000000001f}, {0.306f, 0.306f, 0.694f}, 
                                       {0.307f, 0.307f, 0.6930000000000001f}, {0.308f, 0.308f, 0.692f}, 
                                       {0.309f, 0.309f, 0.6910000000000001f}, {0.31f, 0.31f, 0.69f}, 
                                       {0.311f, 0.311f, 0.6890000000000001f}, {0.312f, 0.312f, 0.688f}, 
                                       {0.313f, 0.313f, 0.687f}, {0.314f, 0.314f, 0.6859999999999999f}, 
                                       {0.315f, 0.315f, 0.685f}, {0.316f, 0.316f, 0.6839999999999999f}, 
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                                       {0.325f, 0.325f, 0.675f}, {0.326f, 0.326f, 0.6739999999999999f}, 
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                                       {0.333f, 0.333f, 0.667f}, {0.334f, 0.334f, 0.6659999999999999f}, 
                                       {0.335f, 0.335f, 0.665f}, {0.336f, 0.336f, 0.6639999999999999f}, 
                                       {0.337f, 0.337f, 0.663f}, {0.338f, 0.338f, 0.6619999999999999f}, 
                                       {0.339f, 0.339f, 0.661f}, {0.34f, 0.34f, 0.6599999999999999f}, 
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                                       {0.34600000000000003f, 0.34600000000000003f, 0.6539999999999999f}, 
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                                       {0.34800000000000003f, 0.34800000000000003f, 0.6519999999999999f}, 
                                       {0.34900000000000003f, 0.34900000000000003f, 0.651f}, 
                                       {0.35000000000000003f, 0.35000000000000003f, 0.6499999999999999f}, 
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                                       {0.356f, 0.356f, 0.644f}, {0.357f, 0.357f, 0.643f}, {0.358f, 0.358f, 0.642f}, 
                                       {0.359f, 0.359f, 0.641f}, {0.36f, 0.36f, 0.64f}, {0.361f, 0.361f, 0.639f}, 
                                       {0.362f, 0.362f, 0.638f}, {0.363f, 0.363f, 0.637f}, {0.364f, 0.364f, 0.636f}, 
                                       {0.365f, 0.365f, 0.635f}, {0.366f, 0.366f, 0.634f}, {0.367f, 0.367f, 0.633f}, 
                                       {0.368f, 0.368f, 0.632f}, {0.369f, 0.369f, 0.631f}, {0.37f, 0.37f, 0.63f}, 
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                                       {0.395f, 0.395f, 0.605f}, {0.396f, 0.396f, 0.604f}, {0.397f, 0.397f, 0.603f}, 
                                       {0.398f, 0.398f, 0.602f}, {0.399f, 0.399f, 0.601f}, {0.4f, 0.4f, 0.6f}, 
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                                       {0.40700000000000003f, 0.40700000000000003f, 0.593f}, 
                                       {0.40800000000000003f, 0.40800000000000003f, 0.592f}, 
                                       {0.40900000000000003f, 0.40900000000000003f, 0.591f}, 
                                       {0.41000000000000003f, 0.41000000000000003f, 0.59f}, 
                                       {0.41100000000000003f, 0.41100000000000003f, 0.589f}, 
                                       {0.41200000000000003f, 0.41200000000000003f, 0.588f}, 
                                       {0.41300000000000003f, 0.41300000000000003f, 0.587f}, 
                                       {0.41400000000000003f, 0.41400000000000003f, 0.586f}, 
                                       {0.41500000000000004f, 0.41500000000000004f, 0.585f}, 
                                       {0.41600000000000004f, 0.41600000000000004f, 0.584f}, {0.417f, 0.417f, 0.583f}, 
                                       {0.418f, 0.418f, 0.5820000000000001f}, {0.419f, 0.419f, 0.581f}, 
                                       {0.42f, 0.42f, 0.5800000000000001f}, {0.421f, 0.421f, 0.579f}, 
                                       {0.422f, 0.422f, 0.5780000000000001f}, {0.423f, 0.423f, 0.577f}, 
                                       {0.424f, 0.424f, 0.5760000000000001f}, {0.425f, 0.425f, 0.575f}, 
                                       {0.426f, 0.426f, 0.5740000000000001f}, {0.427f, 0.427f, 0.573f}, 
                                       {0.428f, 0.428f, 0.5720000000000001f}, {0.429f, 0.429f, 0.571f}, 
                                       {0.43f, 0.43f, 0.5700000000000001f}, {0.431f, 0.431f, 0.569f}, 
                                       {0.432f, 0.432f, 0.5680000000000001f}, {0.433f, 0.433f, 0.567f}, 
                                       {0.434f, 0.434f, 0.5660000000000001f}, {0.435f, 0.435f, 0.565f}, 
                                       {0.436f, 0.436f, 0.5640000000000001f}, {0.437f, 0.437f, 0.563f}, 
                                       {0.438f, 0.438f, 0.562f}, {0.439f, 0.439f, 0.5609999999999999f}, 
                                       {0.44f, 0.44f, 0.56f}, {0.441f, 0.441f, 0.5589999999999999f}, 
                                       {0.442f, 0.442f, 0.558f}, {0.443f, 0.443f, 0.5569999999999999f}, 
                                       {0.444f, 0.444f, 0.556f}, {0.445f, 0.445f, 0.5549999999999999f}, 
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                                       {0.837f, 0.837f, 0.16300000000000003f}, {0.838f, 0.838f, 0.16200000000000003f}, 
                                       {0.839f, 0.839f, 0.16100000000000003f}, {0.84f, 0.84f, 0.16000000000000003f}, 
                                       {0.841f, 0.841f, 0.15900000000000003f}, {0.842f, 0.842f, 0.15800000000000003f}, 
                                       {0.843f, 0.843f, 0.15700000000000003f}, {0.844f, 0.844f, 0.15600000000000003f}, 
                                       {0.845f, 0.845f, 0.15500000000000003f}, {0.846f, 0.846f, 0.15400000000000003f}, 
                                       {0.847f, 0.847f, 0.15300000000000002f}, {0.848f, 0.848f, 0.15200000000000002f}, 
                                       {0.849f, 0.849f, 0.15100000000000002f}, {0.85f, 0.85f, 0.15000000000000002f}, 
                                       {0.851f, 0.851f, 0.14900000000000002f}, {0.852f, 0.852f, 0.14800000000000002f}, 
                                       {0.853f, 0.853f, 0.14700000000000002f}, {0.854f, 0.854f, 0.14600000000000002f}, 
                                       {0.855f, 0.855f, 0.14500000000000002f}, {0.856f, 0.856f, 0.14400000000000002f}, 
                                       {0.857f, 0.857f, 0.14300000000000002f}, {0.858f, 0.858f, 0.14200000000000002f}, 
                                       {0.859f, 0.859f, 0.14100000000000001f}, {0.86f, 0.86f, 0.14f}, 
                                       {0.861f, 0.861f, 0.139f}, {0.862f, 0.862f, 0.138f}, {0.863f, 0.863f, 0.137f}, 
                                       {0.864f, 0.864f, 0.136f}, {0.865f, 0.865f, 0.135f}, {0.866f, 0.866f, 0.134f}, 
                                       {0.867f, 0.867f, 0.133f}, {0.868f, 0.868f, 0.132f}, {0.869f, 0.869f, 0.131f}, 
                                       {0.87f, 0.87f, 0.13f}, {0.871f, 0.871f, 0.129f}, {0.872f, 0.872f, 0.128f}, 
                                       {0.873f, 0.873f, 0.127f}, {0.874f, 0.874f, 0.126f}, {0.875f, 0.875f, 0.125f}, 
                                       {0.876f, 0.876f, 0.124f}, {0.877f, 0.877f, 0.123f}, {0.878f, 0.878f, 0.122f}, 
                                       {0.879f, 0.879f, 0.121f}, {0.88f, 0.88f, 0.12f}, {0.881f, 0.881f, 0.119f}, 
                                       {0.882f, 0.882f, 0.118f}, {0.883f, 0.883f, 0.11699999999999999f}, 
                                       {0.884f, 0.884f, 0.11599999999999999f}, {0.885f, 0.885f, 0.11499999999999999f}, 
                                       {0.886f, 0.886f, 0.11399999999999999f}, {0.887f, 0.887f, 0.11299999999999999f}, 
                                       {0.888f, 0.888f, 0.11199999999999999f}, {0.889f, 0.889f, 0.11099999999999999f}, 
                                       {0.89f, 0.89f, 0.10999999999999999f}, {0.891f, 0.891f, 0.10899999999999999f}, 
                                       {0.892f, 0.892f, 0.10799999999999998f}, {0.893f, 0.893f, 0.10699999999999998f}, 
                                       {0.894f, 0.894f, 0.10599999999999998f}, {0.895f, 0.895f, 0.10499999999999998f}, 
                                       {0.896f, 0.896f, 0.10399999999999998f}, {0.897f, 0.897f, 0.10299999999999998f}, 
                                       {0.898f, 0.898f, 0.10199999999999998f}, {0.899f, 0.899f, 0.10099999999999998f}, 
                                       {0.9f, 0.9f, 0.09999999999999998f}, {0.901f, 0.901f, 0.09899999999999998f}, 
                                       {0.902f, 0.902f, 0.09799999999999998f}, {0.903f, 0.903f, 0.09699999999999998f}, 
                                       {0.904f, 0.904f, 0.09599999999999997f}, {0.905f, 0.905f, 0.09499999999999997f}, 
                                       {0.906f, 0.906f, 0.09399999999999997f}, {0.907f, 0.907f, 0.09299999999999997f}, 
                                       {0.908f, 0.908f, 0.09199999999999997f}, {0.909f, 0.909f, 0.09099999999999997f}, 
                                       {0.91f, 0.91f, 0.08999999999999997f}, {0.911f, 0.911f, 0.08899999999999997f}, 
                                       {0.912f, 0.912f, 0.08799999999999997f}, {0.913f, 0.913f, 0.08699999999999997f}, 
                                       {0.914f, 0.914f, 0.08599999999999997f}, {0.915f, 0.915f, 0.08499999999999996f}, 
                                       {0.916f, 0.916f, 0.08399999999999996f}, {0.917f, 0.917f, 0.08299999999999996f}, 
                                       {0.918f, 0.918f, 0.08199999999999996f}, {0.919f, 0.919f, 0.08099999999999996f}, 
                                       {0.92f, 0.92f, 0.07999999999999996f}, {0.921f, 0.921f, 0.07899999999999996f}, 
                                       {0.922f, 0.922f, 0.07799999999999996f}, {0.923f, 0.923f, 0.07699999999999996f}, 
                                       {0.924f, 0.924f, 0.07599999999999996f}, {0.925f, 0.925f, 0.07499999999999996f}, 
                                       {0.926f, 0.926f, 0.07399999999999995f}, {0.927f, 0.927f, 0.07299999999999995f}, 
                                       {0.928f, 0.928f, 0.07199999999999995f}, {0.929f, 0.929f, 0.07099999999999995f}, 
                                       {0.93f, 0.93f, 0.06999999999999995f}, {0.931f, 0.931f, 0.06899999999999995f}, 
                                       {0.932f, 0.932f, 0.06799999999999995f}, {0.933f, 0.933f, 0.06699999999999995f}, 
                                       {0.934f, 0.934f, 0.06599999999999995f}, {0.935f, 0.935f, 0.06499999999999995f}, 
                                       {0.936f, 0.936f, 0.06399999999999995f}, {0.937f, 0.937f, 0.06299999999999994f}, 
                                       {0.9380000000000001f, 0.9380000000000001f, 0.061999999999999944f}, 
                                       {0.9390000000000001f, 0.9390000000000001f, 0.06099999999999994f}, 
                                       {0.9400000000000001f, 0.9400000000000001f, 0.05999999999999994f}, 
                                       {0.9410000000000001f, 0.9410000000000001f, 0.05899999999999994f}, 
                                       {0.9420000000000001f, 0.9420000000000001f, 0.05799999999999994f}, 
                                       {0.9430000000000001f, 0.9430000000000001f, 0.05699999999999994f}, 
                                       {0.9440000000000001f, 0.9440000000000001f, 0.05599999999999994f}, 
                                       {0.9450000000000001f, 0.9450000000000001f, 0.05499999999999994f}, 
                                       {0.9460000000000001f, 0.9460000000000001f, 0.05399999999999994f}, 
                                       {0.9470000000000001f, 0.9470000000000001f, 0.052999999999999936f}, 
                                       {0.9480000000000001f, 0.9480000000000001f, 0.051999999999999935f}, 
                                       {0.9490000000000001f, 0.9490000000000001f, 0.050999999999999934f}, 
                                       {0.9500000000000001f, 0.9500000000000001f, 0.04999999999999993f}, 
                                       {0.9510000000000001f, 0.9510000000000001f, 0.04899999999999993f}, 
                                       {0.9520000000000001f, 0.9520000000000001f, 0.04799999999999993f}, 
                                       {0.9530000000000001f, 0.9530000000000001f, 0.04699999999999993f}, 
                                       {0.9540000000000001f, 0.9540000000000001f, 0.04599999999999993f}, 
                                       {0.9550000000000001f, 0.9550000000000001f, 0.04499999999999993f}, 
                                       {0.9560000000000001f, 0.9560000000000001f, 0.04399999999999993f}, 
                                       {0.9570000000000001f, 0.9570000000000001f, 0.04299999999999993f}, 
                                       {0.9580000000000001f, 0.9580000000000001f, 0.041999999999999926f}, 
                                       {0.9590000000000001f, 0.9590000000000001f, 0.040999999999999925f}, 
                                       {0.96f, 0.96f, 0.040000000000000036f}, {0.961f, 0.961f, 0.039000000000000035f}, 
                                       {0.962f, 0.962f, 0.038000000000000034f}, {0.963f, 0.963f, 0.03700000000000003f}, 
                                       {0.964f, 0.964f, 0.03600000000000003f}, {0.965f, 0.965f, 0.03500000000000003f}, 
                                       {0.966f, 0.966f, 0.03400000000000003f}, {0.967f, 0.967f, 0.03300000000000003f}, 
                                       {0.968f, 0.968f, 0.03200000000000003f}, {0.969f, 0.969f, 0.031000000000000028f}, 
                                       {0.97f, 0.97f, 0.030000000000000027f}, {0.971f, 0.971f, 0.029000000000000026f}, 
                                       {0.972f, 0.972f, 0.028000000000000025f}, {0.973f, 0.973f, 0.027000000000000024f}, 
                                       {0.974f, 0.974f, 0.026000000000000023f}, {0.975f, 0.975f, 0.025000000000000022f}, 
                                       {0.976f, 0.976f, 0.02400000000000002f}, {0.977f, 0.977f, 0.02300000000000002f}, 
                                       {0.978f, 0.978f, 0.02200000000000002f}, {0.979f, 0.979f, 0.02100000000000002f}, 
                                       {0.98f, 0.98f, 0.020000000000000018f}, {0.981f, 0.981f, 0.019000000000000017f}, 
                                       {0.982f, 0.982f, 0.018000000000000016f}, {0.983f, 0.983f, 0.017000000000000015f}, 
                                       {0.984f, 0.984f, 0.016000000000000014f}, {0.985f, 0.985f, 0.015000000000000013f}, 
                                       {0.986f, 0.986f, 0.014000000000000012f}, {0.987f, 0.987f, 0.013000000000000012f}, 
                                       {0.988f, 0.988f, 0.01200000000000001f}, {0.989f, 0.989f, 0.01100000000000001f}, 
                                       {0.99f, 0.99f, 0.010000000000000009f}, {0.991f, 0.991f, 0.009000000000000008f}, 
                                       {0.992f, 0.992f, 0.008000000000000007f}, {0.993f, 0.993f, 0.007000000000000006f}, 
                                       {0.994f, 0.994f, 0.006000000000000005f}, {0.995f, 0.995f, 0.0050000000000000044f}, 
                                       {0.996f, 0.996f, 0.0040000000000000036f}, 
                                       {0.997f, 0.997f, 0.0030000000000000027f}, 
                                       {0.998f, 0.998f, 0.0020000000000000018f}, 
                                       {0.999f, 0.999f, 0.0010000000000000009f}, {1.f, 1.f, 0.f}};
 
 
 
 
 
 
const float palette_grey_to_red[1001][3]={{0.99f, 0.99f, 0.99f}, {0.99001f, 0.98901f, 0.98901f}, 
                                    {0.99002f, 0.98802f, 0.98802f}, {0.99003f, 0.98703f, 0.98703f}, 
                                    {0.99004f, 0.98604f, 0.98604f}, {0.99005f, 0.98505f, 0.98505f}, 
                                    {0.9900599999999999f, 0.98406f, 0.98406f}, {0.99007f, 0.98307f, 0.98307f}, 
                                    {0.99008f, 0.98208f, 0.98208f}, {0.99009f, 0.98109f, 0.98109f}, 
                                    {0.9901f, 0.9801f, 0.9801f}, {0.99011f, 0.97911f, 0.97911f}, 
                                    {0.99012f, 0.97812f, 0.97812f}, {0.99013f, 0.9771299999999999f, 
                                                                  0.9771299999999999f}, {0.99014f, 0.97614f, 0.97614f}, 
                                    {0.99015f, 0.97515f, 0.97515f}, {0.99016f, 0.97416f, 0.97416f}, 
                                    {0.99017f, 0.97317f, 0.97317f}, {0.99018f, 0.97218f, 0.97218f}, 
                                    {0.99019f, 0.97119f, 0.97119f}, {0.9902f, 0.9702f, 0.9702f}, 
                                    {0.99021f, 0.96921f, 0.96921f}, {0.99022f, 0.96822f, 0.96822f}, 
                                    {0.9902299999999999f, 0.96723f, 0.96723f}, {0.99024f, 0.96624f, 0.96624f}, 
                                    {0.99025f, 0.9652499999999999f, 0.9652499999999999f}, 
                                    {0.99026f, 0.96426f, 0.96426f}, {0.99027f, 0.96327f, 0.96327f}, 
                                    {0.9902799999999999f, 0.96228f, 0.96228f}, {0.99029f, 0.96129f, 0.96129f}, 
                                    {0.9903f, 0.9603f, 0.9603f}, {0.99031f, 0.95931f, 0.95931f}, 
                                    {0.99032f, 0.95832f, 0.95832f}, {0.99033f, 0.95733f, 0.95733f}, 
                                    {0.99034f, 0.95634f, 0.95634f}, {0.99035f, 0.95535f, 0.95535f}, 
                                    {0.99036f, 0.95436f, 0.95436f}, {0.99037f, 0.95337f, 0.95337f}, 
                                    {0.99038f, 0.95238f, 0.95238f}, {0.99039f, 0.95139f, 0.95139f}, 
                                    {0.9904f, 0.9504f, 0.9504f}, {0.99041f, 0.94941f, 0.94941f}, 
                                    {0.99042f, 0.94842f, 0.94842f}, {0.99043f, 0.94743f, 0.94743f}, 
                                    {0.99044f, 0.94644f, 0.94644f}, {0.9904499999999999f, 0.94545f, 0.94545f}, 
                                    {0.99046f, 0.94446f, 0.94446f}, {0.99047f, 0.94347f, 0.94347f}, 
                                    {0.99048f, 0.94248f, 0.94248f}, {0.99049f, 0.9414899999999999f, 
                                                                  0.9414899999999999f}, {0.9904999999999999f, 0.9405f, 0.9405f}, 
                                    {0.99051f, 0.93951f, 0.93951f}, {0.99052f, 0.93852f, 0.93852f}, 
                                    {0.99053f, 0.93753f, 0.93753f}, {0.99054f, 0.93654f, 0.93654f}, 
                                    {0.99055f, 0.93555f, 0.93555f}, {0.99056f, 0.93456f, 0.93456f}, 
                                    {0.99057f, 0.93357f, 0.93357f}, {0.99058f, 0.93258f, 0.93258f}, 
                                    {0.99059f, 0.93159f, 0.93159f}, {0.9906f, 0.9306f, 0.9306f}, 
                                    {0.99061f, 0.92961f, 0.92961f}, {0.99062f, 0.92862f, 0.92862f}, 
                                    {0.99063f, 0.92763f, 0.92763f}, {0.99064f, 0.92664f, 0.92664f}, 
                                    {0.99065f, 0.92565f, 0.92565f}, {0.99066f, 0.92466f, 0.92466f}, 
                                    {0.9906699999999999f, 0.92367f, 0.92367f}, {0.99068f, 0.92268f, 0.92268f}, 
                                    {0.99069f, 0.92169f, 0.92169f}, {0.9907f, 0.9207f, 0.9207f}, 
                                    {0.99071f, 0.91971f, 0.91971f}, {0.99072f, 0.91872f, 0.91872f}, 
                                    {0.99073f, 0.9177299999999999f, 0.9177299999999999f}, 
                                    {0.99074f, 0.91674f, 0.91674f}, {0.99075f, 0.91575f, 0.91575f}, 
                                    {0.99076f, 0.91476f, 0.91476f}, {0.99077f, 0.91377f, 0.91377f}, 
                                    {0.99078f, 0.91278f, 0.91278f}, {0.99079f, 0.91179f, 0.91179f}, 
                                    {0.9908f, 0.9107999999999999f, 0.9107999999999999f}, 
                                    {0.99081f, 0.90981f, 0.90981f}, {0.99082f, 0.90882f, 0.90882f}, 
                                    {0.99083f, 0.90783f, 0.90783f}, {0.9908399999999999f, 0.90684f, 0.90684f}, 
                                    {0.99085f, 0.90585f, 0.90585f}, {0.99086f, 0.90486f, 0.90486f}, 
                                    {0.99087f, 0.90387f, 0.90387f}, {0.99088f, 0.90288f, 0.90288f}, 
                                    {0.9908899999999999f, 0.90189f, 0.90189f}, {0.9909f, 0.9009f, 0.9009f}, 
                                    {0.99091f, 0.89991f, 0.89991f}, {0.99092f, 0.8989199999999999f, 
                                                                  0.8989199999999999f}, {0.99093f, 0.89793f, 0.89793f}, 
                                    {0.99094f, 0.89694f, 0.89694f}, {0.99095f, 0.89595f, 0.89595f}, 
                                    {0.99096f, 0.89496f, 0.89496f}, {0.99097f, 0.8939699999999999f, 
                                                                  0.8939699999999999f}, {0.99098f, 0.89298f, 0.89298f}, 
                                    {0.99099f, 0.89199f, 0.89199f}, {0.991f, 0.891f, 0.891f}, 
                                    {0.99101f, 0.89001f, 0.89001f}, {0.99102f, 0.88902f, 0.88902f}, 
                                    {0.99103f, 0.88803f, 0.88803f}, {0.99104f, 0.8870399999999999f, 
                                                                  0.8870399999999999f}, {0.99105f, 0.88605f, 0.88605f}, 
                                    {0.9910599999999999f, 0.88506f, 0.88506f}, {0.99107f, 0.88407f, 0.88407f}, 
                                    {0.99108f, 0.88308f, 0.88308f}, {0.99109f, 0.88209f, 0.88209f}, 
                                    {0.9911f, 0.8811f, 0.8811f}, {0.99111f, 0.88011f, 0.88011f}, 
                                    {0.99112f, 0.87912f, 0.87912f}, {0.99113f, 0.87813f, 0.87813f}, 
                                    {0.99114f, 0.87714f, 0.87714f}, {0.99115f, 0.87615f, 0.87615f}, 
                                    {0.99116f, 0.8751599999999999f, 0.8751599999999999f}, 
                                    {0.99117f, 0.87417f, 0.87417f}, {0.99118f, 0.87318f, 0.87318f}, 
                                    {0.99119f, 0.87219f, 0.87219f}, {0.9912f, 0.8712f, 0.8712f}, 
                                    {0.99121f, 0.87021f, 0.87021f}, {0.99122f, 0.86922f, 0.86922f}, 
                                    {0.9912299999999999f, 0.86823f, 0.86823f}, {0.99124f, 0.86724f, 0.86724f}, 
                                    {0.99125f, 0.86625f, 0.86625f}, {0.99126f, 0.86526f, 0.86526f}, 
                                    {0.99127f, 0.86427f, 0.86427f}, {0.9912799999999999f, 0.86328f, 0.86328f}, 
                                    {0.99129f, 0.86229f, 0.86229f}, {0.9913f, 0.8613f, 0.8613f}, 
                                    {0.99131f, 0.86031f, 0.86031f}, {0.99132f, 0.85932f, 0.85932f}, 
                                    {0.99133f, 0.85833f, 0.85833f}, {0.99134f, 0.85734f, 0.85734f}, 
                                    {0.99135f, 0.85635f, 0.85635f}, {0.99136f, 0.85536f, 0.85536f}, 
                                    {0.99137f, 0.85437f, 0.85437f}, {0.99138f, 0.85338f, 0.85338f}, 
                                    {0.99139f, 0.85239f, 0.85239f}, {0.9914f, 0.8513999999999999f, 
                                                                  0.8513999999999999f}, {0.99141f, 0.85041f, 0.85041f}, 
                                    {0.99142f, 0.84942f, 0.84942f}, {0.99143f, 0.84843f, 0.84843f}, 
                                    {0.99144f, 0.84744f, 0.84744f}, {0.9914499999999999f, 0.84645f, 0.84645f}, 
                                    {0.99146f, 0.84546f, 0.84546f}, {0.99147f, 0.84447f, 0.84447f}, 
                                    {0.99148f, 0.84348f, 0.84348f}, {0.99149f, 0.84249f, 0.84249f}, 
                                    {0.9915f, 0.8415f, 0.8415f}, {0.99151f, 0.84051f, 0.84051f}, 
                                    {0.99152f, 0.83952f, 0.83952f}, {0.99153f, 0.83853f, 0.83853f}, 
                                    {0.99154f, 0.83754f, 0.83754f}, {0.99155f, 0.83655f, 0.83655f}, 
                                    {0.99156f, 0.83556f, 0.83556f}, {0.99157f, 0.83457f, 0.83457f}, 
                                    {0.99158f, 0.83358f, 0.83358f}, {0.99159f, 0.8325899999999999f, 
                                                                  0.8325899999999999f}, {0.9916f, 0.8316f, 0.8316f}, {0.99161f, 0.83061f, 0.83061f}, 
                                    {0.99162f, 0.82962f, 0.82962f}, {0.99163f, 0.82863f, 0.82863f}, 
                                    {0.99164f, 0.8276399999999999f, 0.8276399999999999f}, 
                                    {0.99165f, 0.82665f, 0.82665f}, {0.99166f, 0.82566f, 0.82566f}, 
                                    {0.9916699999999999f, 0.82467f, 0.82467f}, {0.99168f, 0.82368f, 0.82368f}, 
                                    {0.99169f, 0.8226899999999999f, 0.8226899999999999f}, {0.9917f, 0.8217f, 0.8217f}, 
                                    {0.99171f, 0.8207099999999999f, 0.8207099999999999f}, 
                                    {0.99172f, 0.81972f, 0.81972f}, {0.99173f, 0.81873f, 0.81873f}, 
                                    {0.99174f, 0.8177399999999999f, 0.8177399999999999f}, 
                                    {0.99175f, 0.81675f, 0.81675f}, {0.99176f, 0.81576f, 0.81576f}, 
                                    {0.99177f, 0.81477f, 0.81477f}, {0.99178f, 0.81378f, 0.81378f}, 
                                    {0.99179f, 0.81279f, 0.81279f}, {0.9918f, 0.8118f, 0.8118f}, 
                                    {0.99181f, 0.81081f, 0.81081f}, {0.99182f, 0.80982f, 0.80982f}, 
                                    {0.99183f, 0.8088299999999999f, 0.8088299999999999f}, 
                                    {0.9918399999999999f, 0.80784f, 0.80784f}, {0.99185f, 0.80685f, 0.80685f}, 
                                    {0.99186f, 0.80586f, 0.80586f}, {0.99187f, 0.80487f, 0.80487f}, 
                                    {0.99188f, 0.8038799999999999f, 0.8038799999999999f}, 
                                    {0.9918899999999999f, 0.80289f, 0.80289f}, {0.9919f, 0.8019000000000001f, 
                                                                             0.8019000000000001f}, {0.99191f, 0.80091f, 0.80091f}, 
                                    {0.99192f, 0.79992f, 0.79992f}, {0.99193f, 0.79893f, 0.79893f}, 
                                    {0.99194f, 0.79794f, 0.79794f}, {0.99195f, 0.79695f, 0.79695f}, 
                                    {0.99196f, 0.79596f, 0.79596f}, {0.99197f, 0.79497f, 0.79497f}, 
                                    {0.99198f, 0.79398f, 0.79398f}, {0.99199f, 0.79299f, 0.79299f}, 
                                    {0.992f, 0.792f, 0.792f}, {0.99201f, 0.79101f, 0.79101f}, 
                                    {0.99202f, 0.79002f, 0.79002f}, {0.99203f, 0.78903f, 0.78903f}, 
                                    {0.99204f, 0.78804f, 0.78804f}, {0.99205f, 0.78705f, 0.78705f}, 
                                    {0.9920599999999999f, 0.78606f, 0.78606f}, {0.99207f, 0.7850699999999999f, 
                                                                             0.7850699999999999f}, {0.99208f, 0.78408f, 0.78408f}, 
                                    {0.99209f, 0.7830900000000001f, 0.7830900000000001f}, {0.9921f, 0.7821f, 0.7821f}, 
                                    {0.99211f, 0.78111f, 0.78111f}, {0.99212f, 0.78012f, 0.78012f}, 
                                    {0.99213f, 0.77913f, 0.77913f}, {0.99214f, 0.77814f, 0.77814f}, 
                                    {0.99215f, 0.77715f, 0.77715f}, {0.99216f, 0.77616f, 0.77616f}, 
                                    {0.99217f, 0.77517f, 0.77517f}, {0.99218f, 0.77418f, 0.77418f}, 
                                    {0.99219f, 0.77319f, 0.77319f}, {0.9922f, 0.7722f, 0.7722f}, 
                                    {0.99221f, 0.77121f, 0.77121f}, {0.99222f, 0.77022f, 0.77022f}, 
                                    {0.99223f, 0.76923f, 0.76923f}, {0.99224f, 0.76824f, 0.76824f}, 
                                    {0.99225f, 0.76725f, 0.76725f}, {0.99226f, 0.7662599999999999f, 
                                                                  0.7662599999999999f}, {0.99227f, 0.76527f, 0.76527f}, 
                                    {0.9922799999999999f, 0.76428f, 0.76428f}, {0.99229f, 0.76329f, 0.76329f}, 
                                    {0.9923f, 0.7623f, 0.7623f}, {0.99231f, 0.7613099999999999f, 0.7613099999999999f}, 
                                    {0.99232f, 0.76032f, 0.76032f}, {0.99233f, 0.75933f, 0.75933f}, 
                                    {0.99234f, 0.75834f, 0.75834f}, {0.99235f, 0.75735f, 0.75735f}, 
                                    {0.99236f, 0.7563599999999999f, 0.7563599999999999f}, 
                                    {0.99237f, 0.75537f, 0.75537f}, {0.99238f, 0.7543799999999999f, 
                                                                  0.7543799999999999f}, {0.99239f, 0.75339f, 0.75339f}, {0.9924f, 0.7524f, 0.7524f}, 
                                    {0.99241f, 0.75141f, 0.75141f}, {0.99242f, 0.75042f, 0.75042f}, 
                                    {0.99243f, 0.74943f, 0.74943f}, {0.99244f, 0.74844f, 0.74844f}, 
                                    {0.9924499999999999f, 0.74745f, 0.74745f}, {0.99246f, 0.74646f, 0.74646f}, 
                                    {0.99247f, 0.74547f, 0.74547f}, {0.99248f, 0.74448f, 0.74448f}, 
                                    {0.99249f, 0.74349f, 0.74349f}, {0.9924999999999999f, 0.7424999999999999f, 
                                                                  0.7424999999999999f}, {0.99251f, 0.74151f, 0.74151f}, 
                                    {0.99252f, 0.74052f, 0.74052f}, {0.99253f, 0.73953f, 0.73953f}, 
                                    {0.99254f, 0.73854f, 0.73854f}, {0.99255f, 0.7375499999999999f, 
                                                                  0.7375499999999999f}, {0.99256f, 0.73656f, 0.73656f}, 
                                    {0.99257f, 0.7355700000000001f, 0.7355700000000001f}, 
                                    {0.99258f, 0.73458f, 0.73458f}, {0.99259f, 0.73359f, 0.73359f}, 
                                    {0.9926f, 0.7325999999999999f, 0.7325999999999999f}, 
                                    {0.99261f, 0.73161f, 0.73161f}, {0.99262f, 0.73062f, 0.73062f}, 
                                    {0.99263f, 0.72963f, 0.72963f}, {0.99264f, 0.72864f, 0.72864f}, 
                                    {0.99265f, 0.7276499999999999f, 0.7276499999999999f}, 
                                    {0.99266f, 0.72666f, 0.72666f}, {0.9926699999999999f, 0.72567f, 0.72567f}, 
                                    {0.99268f, 0.72468f, 0.72468f}, {0.99269f, 0.7236899999999999f, 
                                                                  0.7236899999999999f}, {0.9927f, 0.7226999999999999f, 0.7226999999999999f}, 
                                    {0.99271f, 0.72171f, 0.72171f}, {0.99272f, 0.72072f, 0.72072f}, 
                                    {0.99273f, 0.71973f, 0.71973f}, {0.99274f, 0.7187399999999999f, 
                                                                  0.7187399999999999f}, {0.99275f, 0.71775f, 0.71775f}, 
                                    {0.99276f, 0.71676f, 0.71676f}, {0.99277f, 0.71577f, 0.71577f}, 
                                    {0.99278f, 0.71478f, 0.71478f}, {0.99279f, 0.7137899999999999f, 
                                                                  0.7137899999999999f}, {0.9928f, 0.7128f, 0.7128f}, 
                                    {0.99281f, 0.7118099999999999f, 0.7118099999999999f}, 
                                    {0.99282f, 0.71082f, 0.71082f}, {0.99283f, 0.70983f, 0.70983f}, 
                                    {0.99284f, 0.7088399999999999f, 0.7088399999999999f}, 
                                    {0.99285f, 0.70785f, 0.70785f}, {0.99286f, 0.70686f, 0.70686f}, 
                                    {0.99287f, 0.70587f, 0.70587f}, {0.99288f, 0.70488f, 0.70488f}, 
                                    {0.9928899999999999f, 0.70389f, 0.70389f}, {0.9929f, 0.7029000000000001f, 
                                                                             0.7029000000000001f}, {0.99291f, 0.70191f, 0.70191f}, 
                                    {0.99292f, 0.70092f, 0.70092f}, {0.99293f, 0.6999299999999999f, 
                                                                  0.6999299999999999f}, {0.99294f, 0.69894f, 0.69894f}, 
                                    {0.99295f, 0.6979500000000001f, 0.6979500000000001f}, 
                                    {0.99296f, 0.69696f, 0.69696f}, {0.99297f, 0.69597f, 0.69597f}, 
                                    {0.99298f, 0.6949799999999999f, 0.6949799999999999f}, 
                                    {0.99299f, 0.69399f, 0.69399f}, {0.993f, 0.6930000000000001f, 
                                                                  0.6930000000000001f}, {0.99301f, 0.69201f, 0.69201f}, 
                                    {0.99302f, 0.69102f, 0.69102f}, {0.99303f, 0.6900299999999999f, 
                                                                  0.6900299999999999f}, {0.99304f, 0.68904f, 0.68904f}, 
                                    {0.99305f, 0.68805f, 0.68805f}, {0.9930599999999999f, 0.68706f, 0.68706f}, 
                                    {0.99307f, 0.68607f, 0.68607f}, {0.99308f, 0.68508f, 0.68508f}, 
                                    {0.99309f, 0.68409f, 0.68409f}, {0.9931f, 0.6831f, 0.6831f}, 
                                    {0.99311f, 0.68211f, 0.68211f}, {0.99312f, 0.68112f, 0.68112f}, 
                                    {0.99313f, 0.68013f, 0.68013f}, {0.99314f, 0.67914f, 0.67914f}, 
                                    {0.99315f, 0.67815f, 0.67815f}, {0.99316f, 0.67716f, 0.67716f}, 
                                    {0.99317f, 0.6761699999999999f, 0.6761699999999999f}, 
                                    {0.99318f, 0.67518f, 0.67518f}, {0.99319f, 0.6741900000000001f, 
                                                                  0.6741900000000001f}, {0.9932f, 0.6732f, 0.6732f}, {0.99321f, 0.67221f, 0.67221f}, 
                                    {0.99322f, 0.6712199999999999f, 0.6712199999999999f}, 
                                    {0.99323f, 0.67023f, 0.67023f}, {0.99324f, 0.6692400000000001f, 
                                                                  0.6692400000000001f}, {0.99325f, 0.66825f, 0.66825f}, 
                                    {0.99326f, 0.66726f, 0.66726f}, {0.99327f, 0.6662699999999999f, 
                                                                  0.6662699999999999f}, {0.9932799999999999f, 0.66528f, 0.66528f}, 
                                    {0.99329f, 0.66429f, 0.66429f}, {0.9933f, 0.6633f, 0.6633f}, 
                                    {0.99331f, 0.66231f, 0.66231f}, {0.99332f, 0.6613199999999999f, 
                                                                  0.6613199999999999f}, {0.99333f, 0.66033f, 0.66033f}, 
                                    {0.99334f, 0.65934f, 0.65934f}, {0.99335f, 0.65835f, 0.65835f}, 
                                    {0.99336f, 0.6573599999999999f, 0.6573599999999999f}, 
                                    {0.99337f, 0.6563699999999999f, 0.6563699999999999f}, 
                                    {0.99338f, 0.65538f, 0.65538f}, {0.99339f, 0.65439f, 0.65439f}, 
                                    {0.9934f, 0.6534f, 0.6534f}, {0.99341f, 0.6524099999999999f, 0.6524099999999999f}, 
                                    {0.99342f, 0.6514199999999999f, 0.6514199999999999f}, 
                                    {0.99343f, 0.65043f, 0.65043f}, {0.99344f, 0.64944f, 0.64944f}, 
                                    {0.9934499999999999f, 0.64845f, 0.64845f}, {0.99346f, 0.6474599999999999f, 
                                                                             0.6474599999999999f}, {0.99347f, 0.64647f, 0.64647f}, 
                                    {0.99348f, 0.6454799999999999f, 0.6454799999999999f}, 
                                    {0.99349f, 0.64449f, 0.64449f}, {0.9935f, 0.6435f, 0.6435f}, 
                                    {0.99351f, 0.6425099999999999f, 0.6425099999999999f}, 
                                    {0.99352f, 0.6415200000000001f, 0.6415200000000001f}, 
                                    {0.99353f, 0.64053f, 0.64053f}, {0.99354f, 0.63954f, 0.63954f}, 
                                    {0.99355f, 0.63855f, 0.63855f}, {0.99356f, 0.63756f, 0.63756f}, 
                                    {0.99357f, 0.6365700000000001f, 0.6365700000000001f}, 
                                    {0.99358f, 0.63558f, 0.63558f}, {0.99359f, 0.63459f, 0.63459f}, 
                                    {0.9936f, 0.6335999999999999f, 0.6335999999999999f}, 
                                    {0.99361f, 0.63261f, 0.63261f}, {0.99362f, 0.6316200000000001f, 
                                                                  0.6316200000000001f}, {0.99363f, 0.63063f, 0.63063f}, 
                                    {0.99364f, 0.62964f, 0.62964f}, {0.99365f, 0.6286499999999999f, 
                                                                  0.6286499999999999f}, {0.99366f, 0.62766f, 0.62766f}, 
                                    {0.9936699999999999f, 0.6266700000000001f, 0.6266700000000001f}, 
                                    {0.99368f, 0.62568f, 0.62568f}, {0.99369f, 0.62469f, 0.62469f}, 
                                    {0.9937f, 0.6236999999999999f, 0.6236999999999999f}, 
                                    {0.99371f, 0.62271f, 0.62271f}, {0.99372f, 0.62172f, 0.62172f}, 
                                    {0.99373f, 0.62073f, 0.62073f}, {0.99374f, 0.61974f, 0.61974f}, 
                                    {0.99375f, 0.61875f, 0.61875f}, {0.99376f, 0.61776f, 0.61776f}, 
                                    {0.99377f, 0.61677f, 0.61677f}, {0.99378f, 0.61578f, 0.61578f}, 
                                    {0.99379f, 0.61479f, 0.61479f}, {0.9938f, 0.6138f, 0.6138f}, 
                                    {0.99381f, 0.61281f, 0.61281f}, {0.99382f, 0.61182f, 0.61182f}, 
                                    {0.99383f, 0.61083f, 0.61083f}, {0.99384f, 0.6098399999999999f, 
                                                                  0.6098399999999999f}, {0.99385f, 0.60885f, 0.60885f}, 
                                    {0.99386f, 0.6078600000000001f, 0.6078600000000001f}, 
                                    {0.99387f, 0.60687f, 0.60687f}, {0.99388f, 0.60588f, 0.60588f}, 
                                    {0.9938899999999999f, 0.6048899999999999f, 0.6048899999999999f}, 
                                    {0.9939f, 0.6039f, 0.6039f}, {0.99391f, 0.6029100000000001f, 0.6029100000000001f}, 
                                    {0.99392f, 0.60192f, 0.60192f}, {0.99393f, 0.60093f, 0.60093f}, 
                                    {0.99394f, 0.5999399999999999f, 0.5999399999999999f}, 
                                    {0.99395f, 0.59895f, 0.59895f}, {0.99396f, 0.59796f, 0.59796f}, 
                                    {0.99397f, 0.59697f, 0.59697f}, {0.99398f, 0.59598f, 0.59598f}, 
                                    {0.99399f, 0.5949899999999999f, 0.5949899999999999f}, {0.994f, 0.594f, 0.594f}, 
                                    {0.99401f, 0.59301f, 0.59301f}, {0.99402f, 0.59202f, 0.59202f}, 
                                    {0.99403f, 0.5910299999999999f, 0.5910299999999999f}, 
                                    {0.99404f, 0.5900399999999999f, 0.5900399999999999f}, 
                                    {0.99405f, 0.58905f, 0.58905f}, {0.9940599999999999f, 0.58806f, 0.58806f}, 
                                    {0.99407f, 0.58707f, 0.58707f}, {0.99408f, 0.5860799999999999f, 
                                                                  0.5860799999999999f}, {0.99409f, 0.5850899999999999f, 0.5850899999999999f}, 
                                    {0.9941f, 0.5841f, 0.5841f}, {0.99411f, 0.58311f, 0.58311f}, 
                                    {0.99412f, 0.58212f, 0.58212f}, {0.99413f, 0.5811299999999999f, 
                                                                  0.5811299999999999f}, {0.99414f, 0.5801399999999999f, 0.5801399999999999f}, 
                                    {0.99415f, 0.5791499999999999f, 0.5791499999999999f}, 
                                    {0.99416f, 0.57816f, 0.57816f}, {0.99417f, 0.57717f, 0.57717f}, 
                                    {0.99418f, 0.57618f, 0.57618f}, {0.99419f, 0.5751900000000001f, 
                                                                  0.5751900000000001f}, {0.9942f, 0.5742f, 0.5742f}, {0.99421f, 0.57321f, 0.57321f}, 
                                    {0.99422f, 0.57222f, 0.57222f}, {0.99423f, 0.57123f, 0.57123f}, 
                                    {0.99424f, 0.5702400000000001f, 0.5702400000000001f}, 
                                    {0.99425f, 0.56925f, 0.56925f}, {0.99426f, 0.56826f, 0.56826f}, 
                                    {0.99427f, 0.5672699999999999f, 0.5672699999999999f}, 
                                    {0.9942799999999999f, 0.56628f, 0.56628f}, {0.99429f, 0.5652900000000001f, 
                                                                             0.5652900000000001f}, {0.9943f, 0.5643f, 0.5643f}, {0.99431f, 0.56331f, 0.56331f}, 
                                    {0.99432f, 0.5623199999999999f, 0.5623199999999999f}, 
                                    {0.99433f, 0.56133f, 0.56133f}, {0.99434f, 0.5603400000000001f, 
                                                                  0.5603400000000001f}, {0.99435f, 0.55935f, 0.55935f}, 
                                    {0.99436f, 0.55836f, 0.55836f}, {0.99437f, 0.5573699999999999f, 
                                                                  0.5573699999999999f}, {0.99438f, 0.55638f, 0.55638f}, 
                                    {0.99439f, 0.55539f, 0.55539f}, {0.9944f, 0.5544f, 0.5544f}, 
                                    {0.99441f, 0.55341f, 0.55341f}, {0.99442f, 0.5524199999999999f, 
                                                                  0.5524199999999999f}, {0.99443f, 0.55143f, 0.55143f}, 
                                    {0.99444f, 0.55044f, 0.55044f}, {0.99445f, 0.54945f, 0.54945f}, 
                                    {0.99446f, 0.54846f, 0.54846f}, {0.99447f, 0.54747f, 0.54747f}, 
                                    {0.99448f, 0.54648f, 0.54648f}, {0.99449f, 0.54549f, 0.54549f}, 
                                    {0.9944999999999999f, 0.5445f, 0.5445f}, {0.99451f, 0.5435099999999999f, 
                                                                           0.5435099999999999f}, {0.99452f, 0.54252f, 0.54252f}, 
                                    {0.99453f, 0.54153f, 0.54153f}, {0.99454f, 0.54054f, 0.54054f}, 
                                    {0.99455f, 0.53955f, 0.53955f}, {0.99456f, 0.5385599999999999f, 
                                                                  0.5385599999999999f}, {0.99457f, 0.53757f, 0.53757f}, 
                                    {0.99458f, 0.5365800000000001f, 0.5365800000000001f}, 
                                    {0.99459f, 0.53559f, 0.53559f}, {0.9946f, 0.5346f, 0.5346f}, 
                                    {0.99461f, 0.5336099999999999f, 0.5336099999999999f}, 
                                    {0.99462f, 0.53262f, 0.53262f}, {0.99463f, 0.53163f, 0.53163f}, 
                                    {0.99464f, 0.53064f, 0.53064f}, {0.99465f, 0.52965f, 0.52965f}, 
                                    {0.99466f, 0.5286599999999999f, 0.5286599999999999f}, 
                                    {0.9946699999999999f, 0.52767f, 0.52767f}, {0.99468f, 0.52668f, 0.52668f}, 
                                    {0.99469f, 0.52569f, 0.52569f}, {0.9947f, 0.5246999999999999f, 
                                                                  0.5246999999999999f}, {0.99471f, 0.5237099999999999f, 0.5237099999999999f}, 
                                    {0.99472f, 0.52272f, 0.52272f}, {0.99473f, 0.52173f, 0.52173f}, 
                                    {0.99474f, 0.52074f, 0.52074f}, {0.99475f, 0.5197499999999999f, 
                                                                  0.5197499999999999f}, {0.99476f, 0.5187599999999999f, 0.5187599999999999f}, 
                                    {0.99477f, 0.51777f, 0.51777f}, {0.99478f, 0.51678f, 0.51678f}, 
                                    {0.99479f, 0.51579f, 0.51579f}, {0.9948f, 0.5148f, 0.5148f}, 
                                    {0.99481f, 0.51381f, 0.51381f}, {0.99482f, 0.51282f, 0.51282f}, 
                                    {0.99483f, 0.51183f, 0.51183f}, {0.99484f, 0.51084f, 0.51084f}, 
                                    {0.99485f, 0.50985f, 0.50985f}, {0.99486f, 0.5088600000000001f, 
                                                                  0.5088600000000001f}, {0.99487f, 0.50787f, 0.50787f}, 
                                    {0.99488f, 0.50688f, 0.50688f}, {0.9948899999999999f, 0.50589f, 0.50589f}, 
                                    {0.9949f, 0.5049f, 0.5049f}, {0.99491f, 0.5039100000000001f, 0.5039100000000001f}, 
                                    {0.99492f, 0.50292f, 0.50292f}, {0.99493f, 0.50193f, 0.50193f}, 
                                    {0.99494f, 0.5009399999999999f, 0.5009399999999999f}, 
                                    {0.99495f, 0.49995f, 0.49995f}, {0.99496f, 0.49896f, 0.49896f}, 
                                    {0.99497f, 0.49797f, 0.49797f}, {0.99498f, 0.49698f, 0.49698f}, 
                                    {0.99499f, 0.49599f, 0.49599f}, {0.995f, 0.495f, 0.495f}, 
                                    {0.99501f, 0.49401f, 0.49401f}, {0.99502f, 0.49302f, 0.49302f}, 
                                    {0.99503f, 0.49202999999999997f, 0.49202999999999997f}, 
                                    {0.99504f, 0.49104f, 0.49104f}, {0.99505f, 0.49005f, 0.49005f}, 
                                    {0.99506f, 0.48905999999999994f, 0.48905999999999994f}, 
                                    {0.99507f, 0.48807f, 0.48807f}, {0.99508f, 0.48707999999999996f, 
                                                                  0.48707999999999996f}, {0.99509f, 0.48609f, 0.48609f}, 
                                    {0.9951f, 0.4851f, 0.4851f}, {0.99511f, 0.48411000000000004f, 
                                                               0.48411000000000004f}, {0.99512f, 0.48312f, 0.48312f}, 
                                    {0.99513f, 0.48212999999999995f, 0.48212999999999995f}, 
                                    {0.99514f, 0.48114f, 0.48114f}, {0.99515f, 0.48014999999999997f, 
                                                                  0.48014999999999997f}, {0.99516f, 0.47916000000000003f, 0.47916000000000003f}, 
                                    {0.99517f, 0.47817f, 0.47817f}, {0.99518f, 0.47717999999999994f, 
                                                                  0.47717999999999994f}, {0.99519f, 0.47619f, 0.47619f}, 
                                    {0.9952f, 0.47519999999999996f, 0.47519999999999996f}, 
                                    {0.99521f, 0.47421f, 0.47421f}, {0.99522f, 0.47322f, 0.47322f}, 
                                    {0.99523f, 0.4722299999999999f, 0.4722299999999999f}, 
                                    {0.99524f, 0.47124f, 0.47124f}, {0.99525f, 0.47024999999999995f, 
                                                                  0.47024999999999995f}, {0.99526f, 0.46926f, 0.46926f}, 
                                    {0.99527f, 0.46826999999999996f, 0.46826999999999996f}, 
                                    {0.9952799999999999f, 0.4672799999999999f, 0.4672799999999999f}, 
                                    {0.99529f, 0.46629f, 0.46629f}, {0.9953f, 0.46529999999999994f, 
                                                                  0.46529999999999994f}, {0.99531f, 0.46431f, 0.46431f}, 
                                    {0.99532f, 0.46331999999999995f, 0.46331999999999995f}, 
                                    {0.99533f, 0.46233f, 0.46233f}, {0.99534f, 0.46134f, 0.46134f}, 
                                    {0.99535f, 0.4603499999999999f, 0.4603499999999999f}, 
                                    {0.99536f, 0.45936f, 0.45936f}, {0.99537f, 0.45836999999999994f, 
                                                                  0.45836999999999994f}, {0.99538f, 0.45738f, 0.45738f}, 
                                    {0.99539f, 0.45638999999999996f, 0.45638999999999996f}, 
                                    {0.9954f, 0.4553999999999999f, 0.4553999999999999f}, 
                                    {0.99541f, 0.45441f, 0.45441f}, {0.99542f, 0.45341999999999993f, 
                                                                  0.45341999999999993f}, {0.99543f, 0.45243f, 0.45243f}, 
                                    {0.99544f, 0.45143999999999995f, 0.45143999999999995f}, 
                                    {0.99545f, 0.4504499999999999f, 0.4504499999999999f}, 
                                    {0.99546f, 0.44945999999999997f, 0.44945999999999997f}, 
                                    {0.99547f, 0.4484699999999999f, 0.4484699999999999f}, 
                                    {0.99548f, 0.44748f, 0.44748f}, {0.99549f, 0.44648999999999994f, 
                                                                  0.44648999999999994f}, {0.9955f, 0.4455f, 0.4455f}, 
                                    {0.99551f, 0.44450999999999996f, 0.44450999999999996f}, 
                                    {0.99552f, 0.4435199999999999f, 0.4435199999999999f}, 
                                    {0.99553f, 0.44253f, 0.44253f}, {0.99554f, 0.44153999999999993f, 
                                                                  0.44153999999999993f}, {0.99555f, 0.44055f, 0.44055f}, 
                                    {0.99556f, 0.43955999999999995f, 0.43955999999999995f}, 
                                    {0.99557f, 0.4385699999999999f, 0.4385699999999999f}, 
                                    {0.99558f, 0.43757999999999997f, 0.43757999999999997f}, 
                                    {0.99559f, 0.4365899999999999f, 0.4365899999999999f}, {0.9956f, 0.4356f, 0.4356f}, 
                                    {0.99561f, 0.43460999999999994f, 0.43460999999999994f}, 
                                    {0.99562f, 0.4336199999999999f, 0.4336199999999999f}, 
                                    {0.99563f, 0.43262999999999996f, 0.43262999999999996f}, 
                                    {0.99564f, 0.4316399999999999f, 0.4316399999999999f}, 
                                    {0.99565f, 0.43065f, 0.43065f}, {0.99566f, 0.42965999999999993f, 
                                                                  0.42965999999999993f}, {0.9956699999999999f, 0.4286699999999999f, 
                                                                                         0.4286699999999999f}, {0.99568f, 0.42767999999999995f, 0.42767999999999995f}, 
                                    {0.99569f, 0.4266899999999999f, 0.4266899999999999f}, 
                                    {0.9957f, 0.42569999999999997f, 0.42569999999999997f}, 
                                    {0.99571f, 0.4247099999999999f, 0.4247099999999999f}, 
                                    {0.99572f, 0.42372f, 0.42372f}, {0.99573f, 0.42272999999999994f, 
                                                                  0.42272999999999994f}, {0.99574f, 0.4217399999999999f, 0.4217399999999999f}, 
                                    {0.99575f, 0.42074999999999996f, 0.42074999999999996f}, 
                                    {0.99576f, 0.4197599999999999f, 0.4197599999999999f}, 
                                    {0.99577f, 0.4187700000000001f, 0.4187700000000001f}, 
                                    {0.99578f, 0.41778000000000004f, 0.41778000000000004f}, 
                                    {0.99579f, 0.41679f, 0.41679f}, {0.9958f, 0.41580000000000006f, 
                                                                  0.41580000000000006f}, {0.99581f, 0.41481f, 0.41481f}, 
                                    {0.99582f, 0.4138200000000001f, 0.4138200000000001f}, 
                                    {0.99583f, 0.41283000000000003f, 0.41283000000000003f}, 
                                    {0.99584f, 0.41184f, 0.41184f}, {0.99585f, 0.41085000000000005f, 
                                                                  0.41085000000000005f}, {0.99586f, 0.40986f, 0.40986f}, 
                                    {0.99587f, 0.40887000000000007f, 0.40887000000000007f}, 
                                    {0.99588f, 0.40788f, 0.40788f}, {0.9958899999999999f, 0.40689f, 0.40689f}, 
                                    {0.9959f, 0.40590000000000004f, 0.40590000000000004f}, 
                                    {0.99591f, 0.40491f, 0.40491f}, {0.99592f, 0.40392000000000006f, 
                                                                  0.40392000000000006f}, {0.99593f, 0.40293f, 0.40293f}, 
                                    {0.99594f, 0.4019400000000001f, 0.4019400000000001f}, 
                                    {0.99595f, 0.40095000000000003f, 0.40095000000000003f}, 
                                    {0.99596f, 0.39996f, 0.39996f}, {0.99597f, 0.39897000000000005f, 
                                                                  0.39897000000000005f}, {0.99598f, 0.39798f, 0.39798f}, 
                                    {0.99599f, 0.39699000000000007f, 0.39699000000000007f}, {0.996f, 0.396f, 0.396f}, 
                                    {0.99601f, 0.39501f, 0.39501f}, {0.99602f, 0.39402000000000004f, 
                                                                  0.39402000000000004f}, {0.99603f, 0.39303f, 0.39303f}, 
                                    {0.99604f, 0.39204000000000006f, 0.39204000000000006f}, 
                                    {0.99605f, 0.39105f, 0.39105f}, {0.99606f, 0.39005999999999996f, 
                                                                  0.39005999999999996f}, {0.99607f, 0.38907f, 0.38907f}, 
                                    {0.99608f, 0.38808f, 0.38808f}, {0.99609f, 0.38709000000000005f, 
                                                                  0.38709000000000005f}, {0.9961f, 0.3861f, 0.3861f}, 
                                    {0.99611f, 0.38511000000000006f, 0.38511000000000006f}, 
                                    {0.99612f, 0.38412f, 0.38412f}, {0.99613f, 0.38312999999999997f, 
                                                                  0.38312999999999997f}, {0.99614f, 0.38214000000000004f, 0.38214000000000004f}, 
                                    {0.99615f, 0.38115f, 0.38115f}, {0.99616f, 0.38016000000000005f, 
                                                                  0.38016000000000005f}, {0.99617f, 0.37917f, 0.37917f}, 
                                    {0.99618f, 0.37817999999999996f, 0.37817999999999996f}, 
                                    {0.99619f, 0.37719f, 0.37719f}, {0.9962f, 0.3762f, 0.3762f}, 
                                    {0.99621f, 0.37521000000000004f, 0.37521000000000004f}, 
                                    {0.99622f, 0.37422f, 0.37422f}, {0.99623f, 0.37322999999999995f, 
                                                                  0.37322999999999995f}, {0.99624f, 0.37224f, 0.37224f}, 
                                    {0.99625f, 0.37124999999999997f, 0.37124999999999997f}, 
                                    {0.99626f, 0.37026000000000003f, 0.37026000000000003f}, 
                                    {0.99627f, 0.36927f, 0.36927f}, {0.9962799999999999f, 0.36827999999999994f, 
                                                                  0.36827999999999994f}, {0.99629f, 0.36729f, 0.36729f}, 
                                    {0.9963f, 0.36629999999999996f, 0.36629999999999996f}, 
                                    {0.99631f, 0.36531f, 0.36531f}, {0.99632f, 0.36432f, 0.36432f}, 
                                    {0.99633f, 0.36333000000000004f, 0.36333000000000004f}, 
                                    {0.99634f, 0.36234f, 0.36234f}, {0.99635f, 0.36134999999999995f, 
                                                                  0.36134999999999995f}, {0.99636f, 0.36036f, 0.36036f}, 
                                    {0.99637f, 0.35936999999999997f, 0.35936999999999997f}, 
                                    {0.99638f, 0.35838000000000003f, 0.35838000000000003f}, 
                                    {0.99639f, 0.35739f, 0.35739f}, {0.9964f, 0.35639999999999994f, 
                                                                  0.35639999999999994f}, {0.99641f, 0.35541f, 0.35541f}, 
                                    {0.99642f, 0.35441999999999996f, 0.35441999999999996f}, 
                                    {0.99643f, 0.35343f, 0.35343f}, {0.99644f, 0.35244f, 0.35244f}, 
                                    {0.99645f, 0.35144999999999993f, 0.35144999999999993f}, 
                                    {0.99646f, 0.35046f, 0.35046f}, {0.99647f, 0.34946999999999995f, 
                                                                  0.34946999999999995f}, {0.99648f, 0.34848f, 0.34848f}, 
                                    {0.99649f, 0.34748999999999997f, 0.34748999999999997f}, 
                                    {0.9964999999999999f, 0.34650000000000003f, 0.34650000000000003f}, 
                                    {0.99651f, 0.34551f, 0.34551f}, {0.99652f, 0.34451999999999994f, 
                                                                  0.34451999999999994f}, {0.99653f, 0.34353f, 0.34353f}, 
                                    {0.99654f, 0.34253999999999996f, 0.34253999999999996f}, 
                                    {0.99655f, 0.34155f, 0.34155f}, {0.99656f, 0.34056f, 0.34056f}, 
                                    {0.99657f, 0.3395699999999999f, 0.3395699999999999f}, 
                                    {0.99658f, 0.33858f, 0.33858f}, {0.99659f, 0.33758999999999995f, 
                                                                  0.33758999999999995f}, {0.9966f, 0.3366f, 0.3366f}, 
                                    {0.99661f, 0.33560999999999996f, 0.33560999999999996f}, 
                                    {0.99662f, 0.3346199999999999f, 0.3346199999999999f}, 
                                    {0.99663f, 0.33363f, 0.33363f}, {0.99664f, 0.33263999999999994f, 
                                                                  0.33263999999999994f}, {0.99665f, 0.33165f, 0.33165f}, 
                                    {0.99666f, 0.33065999999999995f, 0.33065999999999995f}, 
                                    {0.99667f, 0.3296699999999999f, 0.3296699999999999f}, 
                                    {0.99668f, 0.32867999999999997f, 0.32867999999999997f}, 
                                    {0.99669f, 0.3276899999999999f, 0.3276899999999999f}, {0.9967f, 0.3267f, 0.3267f}, 
                                    {0.99671f, 0.32570999999999994f, 0.32570999999999994f}, 
                                    {0.99672f, 0.32472f, 0.32472f}, {0.99673f, 0.32372999999999996f, 
                                                                  0.32372999999999996f}, {0.99674f, 0.3227399999999999f, 0.3227399999999999f}, 
                                    {0.99675f, 0.32175f, 0.32175f}, {0.99676f, 0.32075999999999993f, 
                                                                  0.32075999999999993f}, {0.99677f, 0.31977f, 0.31977f}, 
                                    {0.99678f, 0.31877999999999995f, 0.31877999999999995f}, 
                                    {0.99679f, 0.3177899999999999f, 0.3177899999999999f}, 
                                    {0.9968f, 0.31679999999999997f, 0.31679999999999997f}, 
                                    {0.99681f, 0.3158099999999999f, 0.3158099999999999f}, 
                                    {0.99682f, 0.31482f, 0.31482f}, {0.99683f, 0.31382999999999994f, 
                                                                  0.31382999999999994f}, {0.99684f, 0.3128399999999999f, 0.3128399999999999f}, 
                                    {0.99685f, 0.31184999999999996f, 0.31184999999999996f}, 
                                    {0.99686f, 0.3108599999999999f, 0.3108599999999999f}, 
                                    {0.99687f, 0.30987f, 0.30987f}, {0.99688f, 0.30887999999999993f, 
                                                                  0.30887999999999993f}, {0.9968899999999999f, 0.3078899999999999f, 
                                                                                         0.3078899999999999f}, {0.9969f, 0.30689999999999995f, 0.30689999999999995f}, 
                                    {0.99691f, 0.3059099999999999f, 0.3059099999999999f}, 
                                    {0.99692f, 0.30491999999999997f, 0.30491999999999997f}, 
                                    {0.99693f, 0.3039299999999999f, 0.3039299999999999f}, 
                                    {0.99694f, 0.30294f, 0.30294f}, {0.99695f, 0.30194999999999994f, 
                                                                  0.30194999999999994f}, {0.99696f, 0.3009599999999999f, 0.3009599999999999f}, 
                                    {0.99697f, 0.29996999999999996f, 0.29996999999999996f}, 
                                    {0.99698f, 0.2989799999999999f, 0.2989799999999999f}, 
                                    {0.99699f, 0.29799f, 0.29799f}, {0.997f, 0.29699999999999993f, 
                                                                  0.29699999999999993f}, {0.99701f, 0.2960099999999999f, 0.2960099999999999f}, 
                                    {0.99702f, 0.29501999999999995f, 0.29501999999999995f}, 
                                    {0.99703f, 0.2940299999999999f, 0.2940299999999999f}, 
                                    {0.99704f, 0.2930400000000001f, 0.2930400000000001f}, 
                                    {0.99705f, 0.29205000000000003f, 0.29205000000000003f}, 
                                    {0.99706f, 0.29106f, 0.29106f}, {0.99707f, 0.29007000000000005f, 
                                                                  0.29007000000000005f}, {0.99708f, 0.28908f, 0.28908f}, 
                                    {0.99709f, 0.28809000000000007f, 0.28809000000000007f}, 
                                    {0.9971f, 0.2871f, 0.2871f}, {0.99711f, 0.2861100000000001f, 0.2861100000000001f}, 
                                    {0.99712f, 0.28512000000000004f, 0.28512000000000004f}, 
                                    {0.99713f, 0.28413f, 0.28413f}, {0.99714f, 0.28314000000000006f, 
                                                                  0.28314000000000006f}, {0.99715f, 0.28215f, 0.28215f}, 
                                    {0.99716f, 0.2811600000000001f, 0.2811600000000001f}, 
                                    {0.99717f, 0.28017000000000003f, 0.28017000000000003f}, 
                                    {0.99718f, 0.27918f, 0.27918f}, {0.99719f, 0.27819000000000005f, 
                                                                  0.27819000000000005f}, {0.9972f, 0.2772f, 0.2772f}, 
                                    {0.99721f, 0.27621000000000007f, 0.27621000000000007f}, 
                                    {0.99722f, 0.27522f, 0.27522f}, {0.99723f, 0.27423f, 0.27423f}, 
                                    {0.99724f, 0.27324000000000004f, 0.27324000000000004f}, 
                                    {0.99725f, 0.27225f, 0.27225f}, {0.99726f, 0.27126000000000006f, 
                                                                  0.27126000000000006f}, {0.99727f, 0.27027f, 0.27027f}, 
                                    {0.9972799999999999f, 0.26927999999999996f, 0.26927999999999996f}, 
                                    {0.99729f, 0.26829000000000003f, 0.26829000000000003f}, 
                                    {0.9973f, 0.2673f, 0.2673f}, {0.99731f, 0.26631000000000005f, 
                                                               0.26631000000000005f}, {0.99732f, 0.26532f, 0.26532f}, 
                                    {0.99733f, 0.26433000000000006f, 0.26433000000000006f}, 
                                    {0.99734f, 0.26334f, 0.26334f}, {0.99735f, 0.26234999999999997f, 
                                                                  0.26234999999999997f}, {0.99736f, 0.26136000000000004f, 0.26136000000000004f}, 
                                    {0.99737f, 0.26037f, 0.26037f}, {0.99738f, 0.25938000000000005f, 
                                                                  0.25938000000000005f}, {0.99739f, 0.25839f, 0.25839f}, 
                                    {0.9974f, 0.25739999999999996f, 0.25739999999999996f}, 
                                    {0.99741f, 0.25641f, 0.25641f}, {0.99742f, 0.25542f, 0.25542f}, 
                                    {0.99743f, 0.25443000000000005f, 0.25443000000000005f}, 
                                    {0.99744f, 0.25344f, 0.25344f}, {0.99745f, 0.25244999999999995f, 
                                                                  0.25244999999999995f}, {0.99746f, 0.25146f, 0.25146f}, 
                                    {0.99747f, 0.25046999999999997f, 0.25046999999999997f}, 
                                    {0.99748f, 0.24948000000000004f, 0.24948000000000004f}, 
                                    {0.99749f, 0.24849f, 0.24849f}, {0.9975f, 0.24750000000000005f, 
                                                                  0.24750000000000005f}, {0.99751f, 0.24651f, 0.24651f}, 
                                    {0.99752f, 0.24551999999999996f, 0.24551999999999996f}, 
                                    {0.99753f, 0.24453000000000003f, 0.24453000000000003f}, 
                                    {0.99754f, 0.24353999999999998f, 0.24353999999999998f}, 
                                    {0.99755f, 0.24255000000000004f, 0.24255000000000004f}, 
                                    {0.99756f, 0.24156f, 0.24156f}, {0.99757f, 0.24056999999999995f, 
                                                                  0.24056999999999995f}, {0.99758f, 0.23958000000000002f, 0.23958000000000002f}, 
                                    {0.99759f, 0.23858999999999997f, 0.23858999999999997f}, 
                                    {0.9976f, 0.23760000000000003f, 0.23760000000000003f}, 
                                    {0.99761f, 0.23661f, 0.23661f}, {0.99762f, 0.23561999999999994f, 
                                                                  0.23561999999999994f}, {0.99763f, 0.23463f, 0.23463f}, 
                                    {0.99764f, 0.23363999999999996f, 0.23363999999999996f}, 
                                    {0.99765f, 0.23265000000000002f, 0.23265000000000002f}, 
                                    {0.99766f, 0.23165999999999998f, 0.23165999999999998f}, 
                                    {0.99767f, 0.23066999999999993f, 0.23066999999999993f}, 
                                    {0.99768f, 0.22968f, 0.22968f}, {0.99769f, 0.22868999999999995f, 
                                                                  0.22868999999999995f}, {0.9977f, 0.2277f, 0.2277f}, 
                                    {0.99771f, 0.22670999999999997f, 0.22670999999999997f}, 
                                    {0.99772f, 0.22572000000000003f, 0.22572000000000003f}, 
                                    {0.99773f, 0.22472999999999999f, 0.22472999999999999f}, 
                                    {0.99774f, 0.22373999999999994f, 0.22373999999999994f}, 
                                    {0.99775f, 0.22275f, 0.22275f}, {0.99776f, 0.22175999999999996f, 
                                                                  0.22175999999999996f}, {0.99777f, 0.22077000000000002f, 0.22077000000000002f}, 
                                    {0.99778f, 0.21977999999999998f, 0.21977999999999998f}, 
                                    {0.99779f, 0.21878999999999993f, 0.21878999999999993f}, 
                                    {0.9978f, 0.2178f, 0.2178f}, {0.99781f, 0.21680999999999995f, 
                                                               0.21680999999999995f}, {0.99782f, 0.21582f, 0.21582f}, 
                                    {0.99783f, 0.21482999999999997f, 0.21482999999999997f}, 
                                    {0.99784f, 0.21383999999999992f, 0.21383999999999992f}, 
                                    {0.99785f, 0.21284999999999998f, 0.21284999999999998f}, 
                                    {0.99786f, 0.21185999999999994f, 0.21185999999999994f}, 
                                    {0.99787f, 0.21087f, 0.21087f}, {0.99788f, 0.20987999999999996f, 
                                                                  0.20987999999999996f}, {0.9978899999999999f, 0.2088899999999999f, 
                                                                                         0.2088899999999999f}, {0.9979f, 0.20789999999999997f, 0.20789999999999997f}, 
                                    {0.99791f, 0.20690999999999993f, 0.20690999999999993f}, 
                                    {0.99792f, 0.20592f, 0.20592f}, {0.99793f, 0.20492999999999995f, 
                                                                  0.20492999999999995f}, {0.99794f, 0.20394f, 0.20394f}, 
                                    {0.99795f, 0.20294999999999996f, 0.20294999999999996f}, 
                                    {0.99796f, 0.20195999999999992f, 0.20195999999999992f}, 
                                    {0.99797f, 0.20096999999999998f, 0.20096999999999998f}, 
                                    {0.99798f, 0.19997999999999994f, 0.19997999999999994f}, 
                                    {0.99799f, 0.19899f, 0.19899f}, {0.998f, 0.19799999999999995f, 
                                                                  0.19799999999999995f}, {0.99801f, 0.1970099999999999f, 0.1970099999999999f}, 
                                    {0.99802f, 0.19601999999999997f, 0.19601999999999997f}, 
                                    {0.99803f, 0.19502999999999993f, 0.19502999999999993f}, 
                                    {0.99804f, 0.19404f, 0.19404f}, {0.99805f, 0.19304999999999994f, 
                                                                  0.19304999999999994f}, {0.99806f, 0.1920599999999999f, 0.1920599999999999f}, 
                                    {0.99807f, 0.19106999999999996f, 0.19106999999999996f}, 
                                    {0.99808f, 0.19007999999999992f, 0.19007999999999992f}, 
                                    {0.99809f, 0.18908999999999998f, 0.18908999999999998f}, 
                                    {0.9981f, 0.18809999999999993f, 0.18809999999999993f}, 
                                    {0.99811f, 0.18711f, 0.18711f}, {0.99812f, 0.18611999999999995f, 
                                                                  0.18611999999999995f}, {0.99813f, 0.1851299999999999f, 0.1851299999999999f}, 
                                    {0.99814f, 0.18413999999999997f, 0.18413999999999997f}, 
                                    {0.99815f, 0.18314999999999992f, 0.18314999999999992f}, 
                                    {0.99816f, 0.18216f, 0.18216f}, {0.99817f, 0.18116999999999994f, 
                                                                  0.18116999999999994f}, {0.99818f, 0.1801799999999999f, 0.1801799999999999f}, 
                                    {0.99819f, 0.17918999999999996f, 0.17918999999999996f}, 
                                    {0.9982f, 0.17819999999999991f, 0.17819999999999991f}, 
                                    {0.99821f, 0.17720999999999998f, 0.17720999999999998f}, 
                                    {0.99822f, 0.17621999999999993f, 0.17621999999999993f}, 
                                    {0.99823f, 0.17522999999999989f, 0.17522999999999989f}, 
                                    {0.99824f, 0.17423999999999995f, 0.17423999999999995f}, 
                                    {0.99825f, 0.1732499999999999f, 0.1732499999999999f}, 
                                    {0.99826f, 0.17225999999999997f, 0.17225999999999997f}, 
                                    {0.99827f, 0.17126999999999992f, 0.17126999999999992f}, 
                                    {0.99828f, 0.17027999999999988f, 0.17027999999999988f}, 
                                    {0.99829f, 0.16928999999999994f, 0.16928999999999994f}, 
                                    {0.9983f, 0.1682999999999999f, 0.1682999999999999f}, 
                                    {0.99831f, 0.16730999999999996f, 0.16730999999999996f}, 
                                    {0.99832f, 0.1663199999999999f, 0.1663199999999999f}, 
                                    {0.99833f, 0.1653300000000001f, 0.1653300000000001f}, 
                                    {0.99834f, 0.16434000000000004f, 0.16434000000000004f}, 
                                    {0.99835f, 0.16335f, 0.16335f}, {0.99836f, 0.16236000000000006f, 
                                                                  0.16236000000000006f}, {0.99837f, 0.16137f, 0.16137f}, 
                                    {0.99838f, 0.16038000000000008f, 0.16038000000000008f}, 
                                    {0.99839f, 0.15939000000000003f, 0.15939000000000003f}, 
                                    {0.9984f, 0.15839999999999999f, 0.15839999999999999f}, 
                                    {0.99841f, 0.15741000000000005f, 0.15741000000000005f}, 
                                    {0.99842f, 0.15642f, 0.15642f}, {0.99843f, 0.15543000000000007f, 
                                                                  0.15543000000000007f}, {0.99844f, 0.15444000000000002f, 0.15444000000000002f}, 
                                    {0.99845f, 0.15344999999999998f, 0.15344999999999998f}, 
                                    {0.99846f, 0.15246000000000004f, 0.15246000000000004f}, 
                                    {0.99847f, 0.15147f, 0.15147f}, {0.99848f, 0.15048000000000006f, 
                                                                  0.15048000000000006f}, {0.99849f, 0.14949f, 0.14949f}, 
                                    {0.9984999999999999f, 0.14849999999999997f, 0.14849999999999997f}, 
                                    {0.99851f, 0.14751000000000003f, 0.14751000000000003f}, 
                                    {0.99852f, 0.14651999999999998f, 0.14651999999999998f}, 
                                    {0.99853f, 0.14553000000000005f, 0.14553000000000005f}, 
                                    {0.99854f, 0.14454f, 0.14454f}, {0.99855f, 0.14355000000000007f, 
                                                                  0.14355000000000007f}, {0.99856f, 0.14256000000000002f, 0.14256000000000002f}, 
                                    {0.99857f, 0.14156999999999997f, 0.14156999999999997f}, 
                                    {0.99858f, 0.14058000000000004f, 0.14058000000000004f}, 
                                    {0.99859f, 0.13959f, 0.13959f}, {0.9986f, 0.13860000000000006f, 
                                                                  0.13860000000000006f}, {0.99861f, 0.13761f, 0.13761f}, 
                                    {0.99862f, 0.13661999999999996f, 0.13661999999999996f}, 
                                    {0.99863f, 0.13563000000000003f, 0.13563000000000003f}, 
                                    {0.99864f, 0.13463999999999998f, 0.13463999999999998f}, 
                                    {0.99865f, 0.13365000000000005f, 0.13365000000000005f}, 
                                    {0.99866f, 0.13266f, 0.13266f}, {0.99867f, 0.13166999999999995f, 
                                                                  0.13166999999999995f}, {0.99868f, 0.13068000000000002f, 0.13068000000000002f}, 
                                    {0.99869f, 0.12968999999999997f, 0.12968999999999997f}, 
                                    {0.9987f, 0.12870000000000004f, 0.12870000000000004f}, 
                                    {0.99871f, 0.12771f, 0.12771f}, {0.99872f, 0.12672000000000005f, 
                                                                  0.12672000000000005f}, {0.99873f, 0.12573f, 0.12573f}, 
                                    {0.99874f, 0.12473999999999996f, 0.12473999999999996f}, 
                                    {0.99875f, 0.12375000000000003f, 0.12375000000000003f}, 
                                    {0.99876f, 0.12275999999999998f, 0.12275999999999998f}, 
                                    {0.99877f, 0.12177000000000004f, 0.12177000000000004f}, 
                                    {0.99878f, 0.12078f, 0.12078f}, {0.99879f, 0.11978999999999995f, 
                                                                  0.11978999999999995f}, {0.9988f, 0.11880000000000002f, 0.11880000000000002f}, 
                                    {0.99881f, 0.11780999999999997f, 0.11780999999999997f}, 
                                    {0.99882f, 0.11682000000000003f, 0.11682000000000003f}, 
                                    {0.99883f, 0.11582999999999999f, 0.11582999999999999f}, 
                                    {0.99884f, 0.11483999999999994f, 0.11483999999999994f}, 
                                    {0.99885f, 0.11385f, 0.11385f}, {0.99886f, 0.11285999999999996f, 
                                                                  0.11285999999999996f}, {0.99887f, 0.11187000000000002f, 0.11187000000000002f}, 
                                    {0.99888f, 0.11087999999999998f, 0.11087999999999998f}, 
                                    {0.99889f, 0.10988999999999993f, 0.10988999999999993f}, 
                                    {0.9989f, 0.1089f, 0.1089f}, {0.99891f, 0.10790999999999995f, 
                                                               0.10790999999999995f}, {0.99892f, 0.10692000000000002f, 0.10692000000000002f}, 
                                    {0.99893f, 0.10592999999999997f, 0.10592999999999997f}, 
                                    {0.99894f, 0.10494000000000003f, 0.10494000000000003f}, 
                                    {0.99895f, 0.10394999999999999f, 0.10394999999999999f}, 
                                    {0.99896f, 0.10295999999999994f, 0.10295999999999994f}, 
                                    {0.99897f, 0.10197f, 0.10197f}, {0.99898f, 0.10097999999999996f, 
                                                                  0.10097999999999996f}, {0.99899f, 0.09999000000000002f, 0.09999000000000002f}, 
                                    {0.999f, 0.09899999999999998f, 0.09899999999999998f}, 
                                    {0.99901f, 0.09800999999999993f, 0.09800999999999993f}, 
                                    {0.99902f, 0.09702f, 0.09702f}, {0.99903f, 0.09602999999999995f, 
                                                                  0.09602999999999995f}, {0.99904f, 0.09504000000000001f, 0.09504000000000001f}, 
                                    {0.99905f, 0.09404999999999997f, 0.09404999999999997f}, 
                                    {0.99906f, 0.09305999999999992f, 0.09305999999999992f}, 
                                    {0.99907f, 0.09206999999999999f, 0.09206999999999999f}, 
                                    {0.99908f, 0.09107999999999994f, 0.09107999999999994f}, 
                                    {0.99909f, 0.09009f, 0.09009f}, {0.9991f, 0.08909999999999996f, 
                                                                  0.08909999999999996f}, {0.99911f, 0.08811000000000002f, 0.08811000000000002f}, 
                                    {0.99912f, 0.08711999999999998f, 0.08711999999999998f}, 
                                    {0.99913f, 0.08612999999999993f, 0.08612999999999993f}, 
                                    {0.99914f, 0.08514f, 0.08514f}, {0.99915f, 0.08414999999999995f, 
                                                                  0.08414999999999995f}, {0.99916f, 0.08316000000000001f, 0.08316000000000001f}, 
                                    {0.99917f, 0.08216999999999997f, 0.08216999999999997f}, 
                                    {0.99918f, 0.08117999999999992f, 0.08117999999999992f}, 
                                    {0.99919f, 0.08018999999999998f, 0.08018999999999998f}, 
                                    {0.9992f, 0.07919999999999994f, 0.07919999999999994f}, 
                                    {0.99921f, 0.07821f, 0.07821f}, {0.99922f, 0.07721999999999996f, 
                                                                  0.07721999999999996f}, {0.99923f, 0.07622999999999991f, 0.07622999999999991f}, 
                                    {0.99924f, 0.07523999999999997f, 0.07523999999999997f}, 
                                    {0.99925f, 0.07424999999999993f, 0.07424999999999993f}, 
                                    {0.99926f, 0.07325999999999999f, 0.07325999999999999f}, 
                                    {0.99927f, 0.07226999999999995f, 0.07226999999999995f}, 
                                    {0.99928f, 0.0712799999999999f, 0.0712799999999999f}, 
                                    {0.99929f, 0.07028999999999996f, 0.07028999999999996f}, 
                                    {0.9993f, 0.06929999999999992f, 0.06929999999999992f}, 
                                    {0.99931f, 0.06830999999999998f, 0.06830999999999998f}, 
                                    {0.99932f, 0.06731999999999994f, 0.06731999999999994f}, 
                                    {0.99933f, 0.06633f, 0.06633f}, {0.99934f, 0.06533999999999995f, 
                                                                  0.06533999999999995f}, {0.99935f, 0.06434999999999991f, 0.06434999999999991f}, 
                                    {0.99936f, 0.06335999999999997f, 0.06335999999999997f}, 
                                    {0.99937f, 0.062369999999999925f, 0.062369999999999925f}, 
                                    {0.99938f, 0.06137999999999999f, 0.06137999999999999f}, 
                                    {0.99939f, 0.060389999999999944f, 0.060389999999999944f}, 
                                    {0.9994f, 0.0593999999999999f, 0.0593999999999999f}, 
                                    {0.99941f, 0.05840999999999996f, 0.05840999999999996f}, 
                                    {0.99942f, 0.057419999999999916f, 0.057419999999999916f}, 
                                    {0.99943f, 0.05642999999999998f, 0.05642999999999998f}, 
                                    {0.99944f, 0.055439999999999934f, 0.055439999999999934f}, 
                                    {0.99945f, 0.05444999999999989f, 0.05444999999999989f}, 
                                    {0.99946f, 0.05345999999999995f, 0.05345999999999995f}, 
                                    {0.99947f, 0.052469999999999906f, 0.052469999999999906f}, 
                                    {0.99948f, 0.05147999999999997f, 0.05147999999999997f}, 
                                    {0.99949f, 0.050489999999999924f, 0.050489999999999924f}, 
                                    {0.9995f, 0.04949999999999999f, 0.04949999999999999f}, 
                                    {0.99951f, 0.04850999999999994f, 0.04850999999999994f}, 
                                    {0.99952f, 0.047519999999999896f, 0.047519999999999896f}, 
                                    {0.99953f, 0.04652999999999996f, 0.04652999999999996f}, 
                                    {0.99954f, 0.045539999999999914f, 0.045539999999999914f}, 
                                    {0.99955f, 0.04454999999999998f, 0.04454999999999998f}, 
                                    {0.99956f, 0.04355999999999993f, 0.04355999999999993f}, 
                                    {0.99957f, 0.042569999999999886f, 0.042569999999999886f}, 
                                    {0.99958f, 0.04157999999999995f, 0.04157999999999995f}, 
                                    {0.99959f, 0.040589999999999904f, 0.040589999999999904f}, 
                                    {0.9996f, 0.03960000000000008f, 0.03960000000000008f}, 
                                    {0.99961f, 0.03861000000000003f, 0.03861000000000003f}, 
                                    {0.99962f, 0.03761999999999999f, 0.03761999999999999f}, 
                                    {0.99963f, 0.03663000000000005f, 0.03663000000000005f}, 
                                    {0.99964f, 0.035640000000000005f, 0.035640000000000005f}, 
                                    {0.99965f, 0.03465000000000007f, 0.03465000000000007f}, 
                                    {0.99966f, 0.03366000000000002f, 0.03366000000000002f}, 
                                    {0.99967f, 0.03266999999999998f, 0.03266999999999998f}, 
                                    {0.99968f, 0.03168000000000004f, 0.03168000000000004f}, 
                                    {0.99969f, 0.030689999999999995f, 0.030689999999999995f}, 
                                    {0.9997f, 0.02970000000000006f, 0.02970000000000006f}, 
                                    {0.99971f, 0.028710000000000013f, 0.028710000000000013f}, 
                                    {0.99972f, 0.027720000000000078f, 0.027720000000000078f}, 
                                    {0.99973f, 0.02673000000000003f, 0.02673000000000003f}, 
                                    {0.99974f, 0.025739999999999985f, 0.025739999999999985f}, 
                                    {0.99975f, 0.02475000000000005f, 0.02475000000000005f}, 
                                    {0.99976f, 0.023760000000000003f, 0.023760000000000003f}, 
                                    {0.99977f, 0.022770000000000068f, 0.022770000000000068f}, 
                                    {0.99978f, 0.02178000000000002f, 0.02178000000000002f}, 
                                    {0.99979f, 0.020789999999999975f, 0.020789999999999975f}, 
                                    {0.9998f, 0.01980000000000004f, 0.01980000000000004f}, 
                                    {0.99981f, 0.018809999999999993f, 0.018809999999999993f}, 
                                    {0.99982f, 0.017820000000000058f, 0.017820000000000058f}, 
                                    {0.99983f, 0.01683000000000001f, 0.01683000000000001f}, 
                                    {0.99984f, 0.015839999999999965f, 0.015839999999999965f}, 
                                    {0.99985f, 0.01485000000000003f, 0.01485000000000003f}, 
                                    {0.99986f, 0.013859999999999983f, 0.013859999999999983f}, 
                                    {0.99987f, 0.012870000000000048f, 0.012870000000000048f}, 
                                    {0.99988f, 0.011880000000000002f, 0.011880000000000002f}, 
                                    {0.99989f, 0.010889999999999955f, 0.010889999999999955f}, 
                                    {0.9999f, 0.00990000000000002f, 0.00990000000000002f}, 
                                    {0.99991f, 0.008909999999999973f, 0.008909999999999973f}, 
                                    {0.99992f, 0.007920000000000038f, 0.007920000000000038f}, 
                                    {0.99993f, 0.006929999999999992f, 0.006929999999999992f}, 
                                    {0.99994f, 0.005940000000000056f, 0.005940000000000056f}, 
                                    {0.99995f, 0.00495000000000001f, 0.00495000000000001f}, 
                                    {0.99996f, 0.0039599999999999635f, 0.0039599999999999635f}, 
                                    {0.99997f, 0.002970000000000028f, 0.002970000000000028f}, 
                                    {0.99998f, 0.0019799999999999818f, 0.0019799999999999818f}, 
                                    {0.99999f, 0.0009900000000000464f, 0.0009900000000000464f}, {1.f, 0.f, 0.f}};
 
 
 
const float palette_white_to_red[1001][3]={{1.f, 1.f, 1.f}, {0.99001f, 0.98901f, 0.98901f}, 
                                     {0.99002f, 0.98802f, 0.98802f}, {0.99003f, 0.98703f, 0.98703f}, 
                                     {0.99004f, 0.98604f, 0.98604f}, {0.99005f, 0.98505f, 0.98505f}, 
                                     {0.9900599999999999f, 0.98406f, 0.98406f}, {0.99007f, 0.98307f, 0.98307f}, 
                                     {0.99008f, 0.98208f, 0.98208f}, {0.99009f, 0.98109f, 0.98109f}, 
                                     {0.9901f, 0.9801f, 0.9801f}, {0.99011f, 0.97911f, 0.97911f}, 
                                     {0.99012f, 0.97812f, 0.97812f}, {0.99013f, 0.9771299999999999f, 
                                                                   0.9771299999999999f}, {0.99014f, 0.97614f, 0.97614f}, 
                                     {0.99015f, 0.97515f, 0.97515f}, {0.99016f, 0.97416f, 0.97416f}, 
                                     {0.99017f, 0.97317f, 0.97317f}, {0.99018f, 0.97218f, 0.97218f}, 
                                     {0.99019f, 0.97119f, 0.97119f}, {0.9902f, 0.9702f, 0.9702f}, 
                                     {0.99021f, 0.96921f, 0.96921f}, {0.99022f, 0.96822f, 0.96822f}, 
                                     {0.9902299999999999f, 0.96723f, 0.96723f}, {0.99024f, 0.96624f, 0.96624f}, 
                                     {0.99025f, 0.9652499999999999f, 0.9652499999999999f}, 
                                     {0.99026f, 0.96426f, 0.96426f}, {0.99027f, 0.96327f, 0.96327f}, 
                                     {0.9902799999999999f, 0.96228f, 0.96228f}, {0.99029f, 0.96129f, 0.96129f}, 
                                     {0.9903f, 0.9603f, 0.9603f}, {0.99031f, 0.95931f, 0.95931f}, 
                                     {0.99032f, 0.95832f, 0.95832f}, {0.99033f, 0.95733f, 0.95733f}, 
                                     {0.99034f, 0.95634f, 0.95634f}, {0.99035f, 0.95535f, 0.95535f}, 
                                     {0.99036f, 0.95436f, 0.95436f}, {0.99037f, 0.95337f, 0.95337f}, 
                                     {0.99038f, 0.95238f, 0.95238f}, {0.99039f, 0.95139f, 0.95139f}, 
                                     {0.9904f, 0.9504f, 0.9504f}, {0.99041f, 0.94941f, 0.94941f}, 
                                     {0.99042f, 0.94842f, 0.94842f}, {0.99043f, 0.94743f, 0.94743f}, 
                                     {0.99044f, 0.94644f, 0.94644f}, {0.9904499999999999f, 0.94545f, 0.94545f}, 
                                     {0.99046f, 0.94446f, 0.94446f}, {0.99047f, 0.94347f, 0.94347f}, 
                                     {0.99048f, 0.94248f, 0.94248f}, {0.99049f, 0.9414899999999999f, 
                                                                   0.9414899999999999f}, {0.9904999999999999f, 0.9405f, 0.9405f}, 
                                     {0.99051f, 0.93951f, 0.93951f}, {0.99052f, 0.93852f, 0.93852f}, 
                                     {0.99053f, 0.93753f, 0.93753f}, {0.99054f, 0.93654f, 0.93654f}, 
                                     {0.99055f, 0.93555f, 0.93555f}, {0.99056f, 0.93456f, 0.93456f}, 
                                     {0.99057f, 0.93357f, 0.93357f}, {0.99058f, 0.93258f, 0.93258f}, 
                                     {0.99059f, 0.93159f, 0.93159f}, {0.9906f, 0.9306f, 0.9306f}, 
                                     {0.99061f, 0.92961f, 0.92961f}, {0.99062f, 0.92862f, 0.92862f}, 
                                     {0.99063f, 0.92763f, 0.92763f}, {0.99064f, 0.92664f, 0.92664f}, 
                                     {0.99065f, 0.92565f, 0.92565f}, {0.99066f, 0.92466f, 0.92466f}, 
                                     {0.9906699999999999f, 0.92367f, 0.92367f}, {0.99068f, 0.92268f, 0.92268f}, 
                                     {0.99069f, 0.92169f, 0.92169f}, {0.9907f, 0.9207f, 0.9207f}, 
                                     {0.99071f, 0.91971f, 0.91971f}, {0.99072f, 0.91872f, 0.91872f}, 
                                     {0.99073f, 0.9177299999999999f, 0.9177299999999999f}, 
                                     {0.99074f, 0.91674f, 0.91674f}, {0.99075f, 0.91575f, 0.91575f}, 
                                     {0.99076f, 0.91476f, 0.91476f}, {0.99077f, 0.91377f, 0.91377f}, 
                                     {0.99078f, 0.91278f, 0.91278f}, {0.99079f, 0.91179f, 0.91179f}, 
                                     {0.9908f, 0.9107999999999999f, 0.9107999999999999f}, 
                                     {0.99081f, 0.90981f, 0.90981f}, {0.99082f, 0.90882f, 0.90882f}, 
                                     {0.99083f, 0.90783f, 0.90783f}, {0.9908399999999999f, 0.90684f, 0.90684f}, 
                                     {0.99085f, 0.90585f, 0.90585f}, {0.99086f, 0.90486f, 0.90486f}, 
                                     {0.99087f, 0.90387f, 0.90387f}, {0.99088f, 0.90288f, 0.90288f}, 
                                     {0.9908899999999999f, 0.90189f, 0.90189f}, {0.9909f, 0.9009f, 0.9009f}, 
                                     {0.99091f, 0.89991f, 0.89991f}, {0.99092f, 0.8989199999999999f, 
                                                                   0.8989199999999999f}, {0.99093f, 0.89793f, 0.89793f}, 
                                     {0.99094f, 0.89694f, 0.89694f}, {0.99095f, 0.89595f, 0.89595f}, 
                                     {0.99096f, 0.89496f, 0.89496f}, {0.99097f, 0.8939699999999999f, 
                                                                   0.8939699999999999f}, {0.99098f, 0.89298f, 0.89298f}, 
                                     {0.99099f, 0.89199f, 0.89199f}, {0.991f, 0.891f, 0.891f}, 
                                     {0.99101f, 0.89001f, 0.89001f}, {0.99102f, 0.88902f, 0.88902f}, 
                                     {0.99103f, 0.88803f, 0.88803f}, {0.99104f, 0.8870399999999999f, 
                                                                   0.8870399999999999f}, {0.99105f, 0.88605f, 0.88605f}, 
                                     {0.9910599999999999f, 0.88506f, 0.88506f}, {0.99107f, 0.88407f, 0.88407f}, 
                                     {0.99108f, 0.88308f, 0.88308f}, {0.99109f, 0.88209f, 0.88209f}, 
                                     {0.9911f, 0.8811f, 0.8811f}, {0.99111f, 0.88011f, 0.88011f}, 
                                     {0.99112f, 0.87912f, 0.87912f}, {0.99113f, 0.87813f, 0.87813f}, 
                                     {0.99114f, 0.87714f, 0.87714f}, {0.99115f, 0.87615f, 0.87615f}, 
                                     {0.99116f, 0.8751599999999999f, 0.8751599999999999f}, 
                                     {0.99117f, 0.87417f, 0.87417f}, {0.99118f, 0.87318f, 0.87318f}, 
                                     {0.99119f, 0.87219f, 0.87219f}, {0.9912f, 0.8712f, 0.8712f}, 
                                     {0.99121f, 0.87021f, 0.87021f}, {0.99122f, 0.86922f, 0.86922f}, 
                                     {0.9912299999999999f, 0.86823f, 0.86823f}, {0.99124f, 0.86724f, 0.86724f}, 
                                     {0.99125f, 0.86625f, 0.86625f}, {0.99126f, 0.86526f, 0.86526f}, 
                                     {0.99127f, 0.86427f, 0.86427f}, {0.9912799999999999f, 0.86328f, 0.86328f}, 
                                     {0.99129f, 0.86229f, 0.86229f}, {0.9913f, 0.8613f, 0.8613f}, 
                                     {0.99131f, 0.86031f, 0.86031f}, {0.99132f, 0.85932f, 0.85932f}, 
                                     {0.99133f, 0.85833f, 0.85833f}, {0.99134f, 0.85734f, 0.85734f}, 
                                     {0.99135f, 0.85635f, 0.85635f}, {0.99136f, 0.85536f, 0.85536f}, 
                                     {0.99137f, 0.85437f, 0.85437f}, {0.99138f, 0.85338f, 0.85338f}, 
                                     {0.99139f, 0.85239f, 0.85239f}, {0.9914f, 0.8513999999999999f, 
                                                                   0.8513999999999999f}, {0.99141f, 0.85041f, 0.85041f}, 
                                     {0.99142f, 0.84942f, 0.84942f}, {0.99143f, 0.84843f, 0.84843f}, 
                                     {0.99144f, 0.84744f, 0.84744f}, {0.9914499999999999f, 0.84645f, 0.84645f}, 
                                     {0.99146f, 0.84546f, 0.84546f}, {0.99147f, 0.84447f, 0.84447f}, 
                                     {0.99148f, 0.84348f, 0.84348f}, {0.99149f, 0.84249f, 0.84249f}, 
                                     {0.9915f, 0.8415f, 0.8415f}, {0.99151f, 0.84051f, 0.84051f}, 
                                     {0.99152f, 0.83952f, 0.83952f}, {0.99153f, 0.83853f, 0.83853f}, 
                                     {0.99154f, 0.83754f, 0.83754f}, {0.99155f, 0.83655f, 0.83655f}, 
                                     {0.99156f, 0.83556f, 0.83556f}, {0.99157f, 0.83457f, 0.83457f}, 
                                     {0.99158f, 0.83358f, 0.83358f}, {0.99159f, 0.8325899999999999f, 
                                                                   0.8325899999999999f}, {0.9916f, 0.8316f, 0.8316f}, {0.99161f, 0.83061f, 0.83061f}, 
                                     {0.99162f, 0.82962f, 0.82962f}, {0.99163f, 0.82863f, 0.82863f}, 
                                     {0.99164f, 0.8276399999999999f, 0.8276399999999999f}, 
                                     {0.99165f, 0.82665f, 0.82665f}, {0.99166f, 0.82566f, 0.82566f}, 
                                     {0.9916699999999999f, 0.82467f, 0.82467f}, {0.99168f, 0.82368f, 0.82368f}, 
                                     {0.99169f, 0.8226899999999999f, 0.8226899999999999f}, {0.9917f, 0.8217f, 0.8217f}, 
                                     {0.99171f, 0.8207099999999999f, 0.8207099999999999f}, 
                                     {0.99172f, 0.81972f, 0.81972f}, {0.99173f, 0.81873f, 0.81873f}, 
                                     {0.99174f, 0.8177399999999999f, 0.8177399999999999f}, 
                                     {0.99175f, 0.81675f, 0.81675f}, {0.99176f, 0.81576f, 0.81576f}, 
                                     {0.99177f, 0.81477f, 0.81477f}, {0.99178f, 0.81378f, 0.81378f}, 
                                     {0.99179f, 0.81279f, 0.81279f}, {0.9918f, 0.8118f, 0.8118f}, 
                                     {0.99181f, 0.81081f, 0.81081f}, {0.99182f, 0.80982f, 0.80982f}, 
                                     {0.99183f, 0.8088299999999999f, 0.8088299999999999f}, 
                                     {0.9918399999999999f, 0.80784f, 0.80784f}, {0.99185f, 0.80685f, 0.80685f}, 
                                     {0.99186f, 0.80586f, 0.80586f}, {0.99187f, 0.80487f, 0.80487f}, 
                                     {0.99188f, 0.8038799999999999f, 0.8038799999999999f}, 
                                     {0.9918899999999999f, 0.80289f, 0.80289f}, {0.9919f, 0.8019000000000001f, 
                                                                              0.8019000000000001f}, {0.99191f, 0.80091f, 0.80091f}, 
                                     {0.99192f, 0.79992f, 0.79992f}, {0.99193f, 0.79893f, 0.79893f}, 
                                     {0.99194f, 0.79794f, 0.79794f}, {0.99195f, 0.79695f, 0.79695f}, 
                                     {0.99196f, 0.79596f, 0.79596f}, {0.99197f, 0.79497f, 0.79497f}, 
                                     {0.99198f, 0.79398f, 0.79398f}, {0.99199f, 0.79299f, 0.79299f}, 
                                     {0.992f, 0.792f, 0.792f}, {0.99201f, 0.79101f, 0.79101f}, 
                                     {0.99202f, 0.79002f, 0.79002f}, {0.99203f, 0.78903f, 0.78903f}, 
                                     {0.99204f, 0.78804f, 0.78804f}, {0.99205f, 0.78705f, 0.78705f}, 
                                     {0.9920599999999999f, 0.78606f, 0.78606f}, {0.99207f, 0.7850699999999999f, 
                                                                              0.7850699999999999f}, {0.99208f, 0.78408f, 0.78408f}, 
                                     {0.99209f, 0.7830900000000001f, 0.7830900000000001f}, {0.9921f, 0.7821f, 0.7821f}, 
                                     {0.99211f, 0.78111f, 0.78111f}, {0.99212f, 0.78012f, 0.78012f}, 
                                     {0.99213f, 0.77913f, 0.77913f}, {0.99214f, 0.77814f, 0.77814f}, 
                                     {0.99215f, 0.77715f, 0.77715f}, {0.99216f, 0.77616f, 0.77616f}, 
                                     {0.99217f, 0.77517f, 0.77517f}, {0.99218f, 0.77418f, 0.77418f}, 
                                     {0.99219f, 0.77319f, 0.77319f}, {0.9922f, 0.7722f, 0.7722f}, 
                                     {0.99221f, 0.77121f, 0.77121f}, {0.99222f, 0.77022f, 0.77022f}, 
                                     {0.99223f, 0.76923f, 0.76923f}, {0.99224f, 0.76824f, 0.76824f}, 
                                     {0.99225f, 0.76725f, 0.76725f}, {0.99226f, 0.7662599999999999f, 
                                                                   0.7662599999999999f}, {0.99227f, 0.76527f, 0.76527f}, 
                                     {0.9922799999999999f, 0.76428f, 0.76428f}, {0.99229f, 0.76329f, 0.76329f}, 
                                     {0.9923f, 0.7623f, 0.7623f}, {0.99231f, 0.7613099999999999f, 0.7613099999999999f}, 
                                     {0.99232f, 0.76032f, 0.76032f}, {0.99233f, 0.75933f, 0.75933f}, 
                                     {0.99234f, 0.75834f, 0.75834f}, {0.99235f, 0.75735f, 0.75735f}, 
                                     {0.99236f, 0.7563599999999999f, 0.7563599999999999f}, 
                                     {0.99237f, 0.75537f, 0.75537f}, {0.99238f, 0.7543799999999999f, 
                                                                   0.7543799999999999f}, {0.99239f, 0.75339f, 0.75339f}, {0.9924f, 0.7524f, 0.7524f}, 
                                     {0.99241f, 0.75141f, 0.75141f}, {0.99242f, 0.75042f, 0.75042f}, 
                                     {0.99243f, 0.74943f, 0.74943f}, {0.99244f, 0.74844f, 0.74844f}, 
                                     {0.9924499999999999f, 0.74745f, 0.74745f}, {0.99246f, 0.74646f, 0.74646f}, 
                                     {0.99247f, 0.74547f, 0.74547f}, {0.99248f, 0.74448f, 0.74448f}, 
                                     {0.99249f, 0.74349f, 0.74349f}, {0.9924999999999999f, 0.7424999999999999f, 
                                                                   0.7424999999999999f}, {0.99251f, 0.74151f, 0.74151f}, 
                                     {0.99252f, 0.74052f, 0.74052f}, {0.99253f, 0.73953f, 0.73953f}, 
                                     {0.99254f, 0.73854f, 0.73854f}, {0.99255f, 0.7375499999999999f, 
                                                                   0.7375499999999999f}, {0.99256f, 0.73656f, 0.73656f}, 
                                     {0.99257f, 0.7355700000000001f, 0.7355700000000001f}, 
                                     {0.99258f, 0.73458f, 0.73458f}, {0.99259f, 0.73359f, 0.73359f}, 
                                     {0.9926f, 0.7325999999999999f, 0.7325999999999999f}, 
                                     {0.99261f, 0.73161f, 0.73161f}, {0.99262f, 0.73062f, 0.73062f}, 
                                     {0.99263f, 0.72963f, 0.72963f}, {0.99264f, 0.72864f, 0.72864f}, 
                                     {0.99265f, 0.7276499999999999f, 0.7276499999999999f}, 
                                     {0.99266f, 0.72666f, 0.72666f}, {0.9926699999999999f, 0.72567f, 0.72567f}, 
                                     {0.99268f, 0.72468f, 0.72468f}, {0.99269f, 0.7236899999999999f, 
                                                                   0.7236899999999999f}, {0.9927f, 0.7226999999999999f, 0.7226999999999999f}, 
                                     {0.99271f, 0.72171f, 0.72171f}, {0.99272f, 0.72072f, 0.72072f}, 
                                     {0.99273f, 0.71973f, 0.71973f}, {0.99274f, 0.7187399999999999f, 
                                                                   0.7187399999999999f}, {0.99275f, 0.71775f, 0.71775f}, 
                                     {0.99276f, 0.71676f, 0.71676f}, {0.99277f, 0.71577f, 0.71577f}, 
                                     {0.99278f, 0.71478f, 0.71478f}, {0.99279f, 0.7137899999999999f, 
                                                                   0.7137899999999999f}, {0.9928f, 0.7128f, 0.7128f}, 
                                     {0.99281f, 0.7118099999999999f, 0.7118099999999999f}, 
                                     {0.99282f, 0.71082f, 0.71082f}, {0.99283f, 0.70983f, 0.70983f}, 
                                     {0.99284f, 0.7088399999999999f, 0.7088399999999999f}, 
                                     {0.99285f, 0.70785f, 0.70785f}, {0.99286f, 0.70686f, 0.70686f}, 
                                     {0.99287f, 0.70587f, 0.70587f}, {0.99288f, 0.70488f, 0.70488f}, 
                                     {0.9928899999999999f, 0.70389f, 0.70389f}, {0.9929f, 0.7029000000000001f, 
                                                                              0.7029000000000001f}, {0.99291f, 0.70191f, 0.70191f}, 
                                     {0.99292f, 0.70092f, 0.70092f}, {0.99293f, 0.6999299999999999f, 
                                                                   0.6999299999999999f}, {0.99294f, 0.69894f, 0.69894f}, 
                                     {0.99295f, 0.6979500000000001f, 0.6979500000000001f}, 
                                     {0.99296f, 0.69696f, 0.69696f}, {0.99297f, 0.69597f, 0.69597f}, 
                                     {0.99298f, 0.6949799999999999f, 0.6949799999999999f}, 
                                     {0.99299f, 0.69399f, 0.69399f}, {0.993f, 0.6930000000000001f, 
                                                                   0.6930000000000001f}, {0.99301f, 0.69201f, 0.69201f}, 
                                     {0.99302f, 0.69102f, 0.69102f}, {0.99303f, 0.6900299999999999f, 
                                                                   0.6900299999999999f}, {0.99304f, 0.68904f, 0.68904f}, 
                                     {0.99305f, 0.68805f, 0.68805f}, {0.9930599999999999f, 0.68706f, 0.68706f}, 
                                     {0.99307f, 0.68607f, 0.68607f}, {0.99308f, 0.68508f, 0.68508f}, 
                                     {0.99309f, 0.68409f, 0.68409f}, {0.9931f, 0.6831f, 0.6831f}, 
                                     {0.99311f, 0.68211f, 0.68211f}, {0.99312f, 0.68112f, 0.68112f}, 
                                     {0.99313f, 0.68013f, 0.68013f}, {0.99314f, 0.67914f, 0.67914f}, 
                                     {0.99315f, 0.67815f, 0.67815f}, {0.99316f, 0.67716f, 0.67716f}, 
                                     {0.99317f, 0.6761699999999999f, 0.6761699999999999f}, 
                                     {0.99318f, 0.67518f, 0.67518f}, {0.99319f, 0.6741900000000001f, 
                                                                   0.6741900000000001f}, {0.9932f, 0.6732f, 0.6732f}, {0.99321f, 0.67221f, 0.67221f}, 
                                     {0.99322f, 0.6712199999999999f, 0.6712199999999999f}, 
                                     {0.99323f, 0.67023f, 0.67023f}, {0.99324f, 0.6692400000000001f, 
                                                                   0.6692400000000001f}, {0.99325f, 0.66825f, 0.66825f}, 
                                     {0.99326f, 0.66726f, 0.66726f}, {0.99327f, 0.6662699999999999f, 
                                                                   0.6662699999999999f}, {0.9932799999999999f, 0.66528f, 0.66528f}, 
                                     {0.99329f, 0.66429f, 0.66429f}, {0.9933f, 0.6633f, 0.6633f}, 
                                     {0.99331f, 0.66231f, 0.66231f}, {0.99332f, 0.6613199999999999f, 
                                                                   0.6613199999999999f}, {0.99333f, 0.66033f, 0.66033f}, 
                                     {0.99334f, 0.65934f, 0.65934f}, {0.99335f, 0.65835f, 0.65835f}, 
                                     {0.99336f, 0.6573599999999999f, 0.6573599999999999f}, 
                                     {0.99337f, 0.6563699999999999f, 0.6563699999999999f}, 
                                     {0.99338f, 0.65538f, 0.65538f}, {0.99339f, 0.65439f, 0.65439f}, 
                                     {0.9934f, 0.6534f, 0.6534f}, {0.99341f, 0.6524099999999999f, 0.6524099999999999f}, 
                                     {0.99342f, 0.6514199999999999f, 0.6514199999999999f}, 
                                     {0.99343f, 0.65043f, 0.65043f}, {0.99344f, 0.64944f, 0.64944f}, 
                                     {0.9934499999999999f, 0.64845f, 0.64845f}, {0.99346f, 0.6474599999999999f, 
                                                                              0.6474599999999999f}, {0.99347f, 0.64647f, 0.64647f}, 
                                     {0.99348f, 0.6454799999999999f, 0.6454799999999999f}, 
                                     {0.99349f, 0.64449f, 0.64449f}, {0.9935f, 0.6435f, 0.6435f}, 
                                     {0.99351f, 0.6425099999999999f, 0.6425099999999999f}, 
                                     {0.99352f, 0.6415200000000001f, 0.6415200000000001f}, 
                                     {0.99353f, 0.64053f, 0.64053f}, {0.99354f, 0.63954f, 0.63954f}, 
                                     {0.99355f, 0.63855f, 0.63855f}, {0.99356f, 0.63756f, 0.63756f}, 
                                     {0.99357f, 0.6365700000000001f, 0.6365700000000001f}, 
                                     {0.99358f, 0.63558f, 0.63558f}, {0.99359f, 0.63459f, 0.63459f}, 
                                     {0.9936f, 0.6335999999999999f, 0.6335999999999999f}, 
                                     {0.99361f, 0.63261f, 0.63261f}, {0.99362f, 0.6316200000000001f, 
                                                                   0.6316200000000001f}, {0.99363f, 0.63063f, 0.63063f}, 
                                     {0.99364f, 0.62964f, 0.62964f}, {0.99365f, 0.6286499999999999f, 
                                                                   0.6286499999999999f}, {0.99366f, 0.62766f, 0.62766f}, 
                                     {0.9936699999999999f, 0.6266700000000001f, 0.6266700000000001f}, 
                                     {0.99368f, 0.62568f, 0.62568f}, {0.99369f, 0.62469f, 0.62469f}, 
                                     {0.9937f, 0.6236999999999999f, 0.6236999999999999f}, 
                                     {0.99371f, 0.62271f, 0.62271f}, {0.99372f, 0.62172f, 0.62172f}, 
                                     {0.99373f, 0.62073f, 0.62073f}, {0.99374f, 0.61974f, 0.61974f}, 
                                     {0.99375f, 0.61875f, 0.61875f}, {0.99376f, 0.61776f, 0.61776f}, 
                                     {0.99377f, 0.61677f, 0.61677f}, {0.99378f, 0.61578f, 0.61578f}, 
                                     {0.99379f, 0.61479f, 0.61479f}, {0.9938f, 0.6138f, 0.6138f}, 
                                     {0.99381f, 0.61281f, 0.61281f}, {0.99382f, 0.61182f, 0.61182f}, 
                                     {0.99383f, 0.61083f, 0.61083f}, {0.99384f, 0.6098399999999999f, 
                                                                   0.6098399999999999f}, {0.99385f, 0.60885f, 0.60885f}, 
                                     {0.99386f, 0.6078600000000001f, 0.6078600000000001f}, 
                                     {0.99387f, 0.60687f, 0.60687f}, {0.99388f, 0.60588f, 0.60588f}, 
                                     {0.9938899999999999f, 0.6048899999999999f, 0.6048899999999999f}, 
                                     {0.9939f, 0.6039f, 0.6039f}, {0.99391f, 0.6029100000000001f, 0.6029100000000001f}, 
                                     {0.99392f, 0.60192f, 0.60192f}, {0.99393f, 0.60093f, 0.60093f}, 
                                     {0.99394f, 0.5999399999999999f, 0.5999399999999999f}, 
                                     {0.99395f, 0.59895f, 0.59895f}, {0.99396f, 0.59796f, 0.59796f}, 
                                     {0.99397f, 0.59697f, 0.59697f}, {0.99398f, 0.59598f, 0.59598f}, 
                                     {0.99399f, 0.5949899999999999f, 0.5949899999999999f}, {0.994f, 0.594f, 0.594f}, 
                                     {0.99401f, 0.59301f, 0.59301f}, {0.99402f, 0.59202f, 0.59202f}, 
                                     {0.99403f, 0.5910299999999999f, 0.5910299999999999f}, 
                                     {0.99404f, 0.5900399999999999f, 0.5900399999999999f}, 
                                     {0.99405f, 0.58905f, 0.58905f}, {0.9940599999999999f, 0.58806f, 0.58806f}, 
                                     {0.99407f, 0.58707f, 0.58707f}, {0.99408f, 0.5860799999999999f, 
                                                                   0.5860799999999999f}, {0.99409f, 0.5850899999999999f, 0.5850899999999999f}, 
                                     {0.9941f, 0.5841f, 0.5841f}, {0.99411f, 0.58311f, 0.58311f}, 
                                     {0.99412f, 0.58212f, 0.58212f}, {0.99413f, 0.5811299999999999f, 
                                                                   0.5811299999999999f}, {0.99414f, 0.5801399999999999f, 0.5801399999999999f}, 
                                     {0.99415f, 0.5791499999999999f, 0.5791499999999999f}, 
                                     {0.99416f, 0.57816f, 0.57816f}, {0.99417f, 0.57717f, 0.57717f}, 
                                     {0.99418f, 0.57618f, 0.57618f}, {0.99419f, 0.5751900000000001f, 
                                                                   0.5751900000000001f}, {0.9942f, 0.5742f, 0.5742f}, {0.99421f, 0.57321f, 0.57321f}, 
                                     {0.99422f, 0.57222f, 0.57222f}, {0.99423f, 0.57123f, 0.57123f}, 
                                     {0.99424f, 0.5702400000000001f, 0.5702400000000001f}, 
                                     {0.99425f, 0.56925f, 0.56925f}, {0.99426f, 0.56826f, 0.56826f}, 
                                     {0.99427f, 0.5672699999999999f, 0.5672699999999999f}, 
                                     {0.9942799999999999f, 0.56628f, 0.56628f}, {0.99429f, 0.5652900000000001f, 
                                                                              0.5652900000000001f}, {0.9943f, 0.5643f, 0.5643f}, {0.99431f, 0.56331f, 0.56331f}, 
                                     {0.99432f, 0.5623199999999999f, 0.5623199999999999f}, 
                                     {0.99433f, 0.56133f, 0.56133f}, {0.99434f, 0.5603400000000001f, 
                                                                   0.5603400000000001f}, {0.99435f, 0.55935f, 0.55935f}, 
                                     {0.99436f, 0.55836f, 0.55836f}, {0.99437f, 0.5573699999999999f, 
                                                                   0.5573699999999999f}, {0.99438f, 0.55638f, 0.55638f}, 
                                     {0.99439f, 0.55539f, 0.55539f}, {0.9944f, 0.5544f, 0.5544f}, 
                                     {0.99441f, 0.55341f, 0.55341f}, {0.99442f, 0.5524199999999999f, 
                                                                   0.5524199999999999f}, {0.99443f, 0.55143f, 0.55143f}, 
                                     {0.99444f, 0.55044f, 0.55044f}, {0.99445f, 0.54945f, 0.54945f}, 
                                     {0.99446f, 0.54846f, 0.54846f}, {0.99447f, 0.54747f, 0.54747f}, 
                                     {0.99448f, 0.54648f, 0.54648f}, {0.99449f, 0.54549f, 0.54549f}, 
                                     {0.9944999999999999f, 0.5445f, 0.5445f}, {0.99451f, 0.5435099999999999f, 
                                                                            0.5435099999999999f}, {0.99452f, 0.54252f, 0.54252f}, 
                                     {0.99453f, 0.54153f, 0.54153f}, {0.99454f, 0.54054f, 0.54054f}, 
                                     {0.99455f, 0.53955f, 0.53955f}, {0.99456f, 0.5385599999999999f, 
                                                                   0.5385599999999999f}, {0.99457f, 0.53757f, 0.53757f}, 
                                     {0.99458f, 0.5365800000000001f, 0.5365800000000001f}, 
                                     {0.99459f, 0.53559f, 0.53559f}, {0.9946f, 0.5346f, 0.5346f}, 
                                     {0.99461f, 0.5336099999999999f, 0.5336099999999999f}, 
                                     {0.99462f, 0.53262f, 0.53262f}, {0.99463f, 0.53163f, 0.53163f}, 
                                     {0.99464f, 0.53064f, 0.53064f}, {0.99465f, 0.52965f, 0.52965f}, 
                                     {0.99466f, 0.5286599999999999f, 0.5286599999999999f}, 
                                     {0.9946699999999999f, 0.52767f, 0.52767f}, {0.99468f, 0.52668f, 0.52668f}, 
                                     {0.99469f, 0.52569f, 0.52569f}, {0.9947f, 0.5246999999999999f, 
                                                                   0.5246999999999999f}, {0.99471f, 0.5237099999999999f, 0.5237099999999999f}, 
                                     {0.99472f, 0.52272f, 0.52272f}, {0.99473f, 0.52173f, 0.52173f}, 
                                     {0.99474f, 0.52074f, 0.52074f}, {0.99475f, 0.5197499999999999f, 
                                                                   0.5197499999999999f}, {0.99476f, 0.5187599999999999f, 0.5187599999999999f}, 
                                     {0.99477f, 0.51777f, 0.51777f}, {0.99478f, 0.51678f, 0.51678f}, 
                                     {0.99479f, 0.51579f, 0.51579f}, {0.9948f, 0.5148f, 0.5148f}, 
                                     {0.99481f, 0.51381f, 0.51381f}, {0.99482f, 0.51282f, 0.51282f}, 
                                     {0.99483f, 0.51183f, 0.51183f}, {0.99484f, 0.51084f, 0.51084f}, 
                                     {0.99485f, 0.50985f, 0.50985f}, {0.99486f, 0.5088600000000001f, 
                                                                   0.5088600000000001f}, {0.99487f, 0.50787f, 0.50787f}, 
                                     {0.99488f, 0.50688f, 0.50688f}, {0.9948899999999999f, 0.50589f, 0.50589f}, 
                                     {0.9949f, 0.5049f, 0.5049f}, {0.99491f, 0.5039100000000001f, 0.5039100000000001f}, 
                                     {0.99492f, 0.50292f, 0.50292f}, {0.99493f, 0.50193f, 0.50193f}, 
                                     {0.99494f, 0.5009399999999999f, 0.5009399999999999f}, 
                                     {0.99495f, 0.49995f, 0.49995f}, {0.99496f, 0.49896f, 0.49896f}, 
                                     {0.99497f, 0.49797f, 0.49797f}, {0.99498f, 0.49698f, 0.49698f}, 
                                     {0.99499f, 0.49599f, 0.49599f}, {0.995f, 0.495f, 0.495f}, 
                                     {0.99501f, 0.49401f, 0.49401f}, {0.99502f, 0.49302f, 0.49302f}, 
                                     {0.99503f, 0.49202999999999997f, 0.49202999999999997f}, 
                                     {0.99504f, 0.49104f, 0.49104f}, {0.99505f, 0.49005f, 0.49005f}, 
                                     {0.99506f, 0.48905999999999994f, 0.48905999999999994f}, 
                                     {0.99507f, 0.48807f, 0.48807f}, {0.99508f, 0.48707999999999996f, 
                                                                   0.48707999999999996f}, {0.99509f, 0.48609f, 0.48609f}, 
                                     {0.9951f, 0.4851f, 0.4851f}, {0.99511f, 0.48411000000000004f, 
                                                                0.48411000000000004f}, {0.99512f, 0.48312f, 0.48312f}, 
                                     {0.99513f, 0.48212999999999995f, 0.48212999999999995f}, 
                                     {0.99514f, 0.48114f, 0.48114f}, {0.99515f, 0.48014999999999997f, 
                                                                   0.48014999999999997f}, {0.99516f, 0.47916000000000003f, 0.47916000000000003f}, 
                                     {0.99517f, 0.47817f, 0.47817f}, {0.99518f, 0.47717999999999994f, 
                                                                   0.47717999999999994f}, {0.99519f, 0.47619f, 0.47619f}, 
                                     {0.9952f, 0.47519999999999996f, 0.47519999999999996f}, 
                                     {0.99521f, 0.47421f, 0.47421f}, {0.99522f, 0.47322f, 0.47322f}, 
                                     {0.99523f, 0.4722299999999999f, 0.4722299999999999f}, 
                                     {0.99524f, 0.47124f, 0.47124f}, {0.99525f, 0.47024999999999995f, 
                                                                   0.47024999999999995f}, {0.99526f, 0.46926f, 0.46926f}, 
                                     {0.99527f, 0.46826999999999996f, 0.46826999999999996f}, 
                                     {0.9952799999999999f, 0.4672799999999999f, 0.4672799999999999f}, 
                                     {0.99529f, 0.46629f, 0.46629f}, {0.9953f, 0.46529999999999994f, 
                                                                   0.46529999999999994f}, {0.99531f, 0.46431f, 0.46431f}, 
                                     {0.99532f, 0.46331999999999995f, 0.46331999999999995f}, 
                                     {0.99533f, 0.46233f, 0.46233f}, {0.99534f, 0.46134f, 0.46134f}, 
                                     {0.99535f, 0.4603499999999999f, 0.4603499999999999f}, 
                                     {0.99536f, 0.45936f, 0.45936f}, {0.99537f, 0.45836999999999994f, 
                                                                   0.45836999999999994f}, {0.99538f, 0.45738f, 0.45738f}, 
                                     {0.99539f, 0.45638999999999996f, 0.45638999999999996f}, 
                                     {0.9954f, 0.4553999999999999f, 0.4553999999999999f}, 
                                     {0.99541f, 0.45441f, 0.45441f}, {0.99542f, 0.45341999999999993f, 
                                                                   0.45341999999999993f}, {0.99543f, 0.45243f, 0.45243f}, 
                                     {0.99544f, 0.45143999999999995f, 0.45143999999999995f}, 
                                     {0.99545f, 0.4504499999999999f, 0.4504499999999999f}, 
                                     {0.99546f, 0.44945999999999997f, 0.44945999999999997f}, 
                                     {0.99547f, 0.4484699999999999f, 0.4484699999999999f}, 
                                     {0.99548f, 0.44748f, 0.44748f}, {0.99549f, 0.44648999999999994f, 
                                                                   0.44648999999999994f}, {0.9955f, 0.4455f, 0.4455f}, 
                                     {0.99551f, 0.44450999999999996f, 0.44450999999999996f}, 
                                     {0.99552f, 0.4435199999999999f, 0.4435199999999999f}, 
                                     {0.99553f, 0.44253f, 0.44253f}, {0.99554f, 0.44153999999999993f, 
                                                                   0.44153999999999993f}, {0.99555f, 0.44055f, 0.44055f}, 
                                     {0.99556f, 0.43955999999999995f, 0.43955999999999995f}, 
                                     {0.99557f, 0.4385699999999999f, 0.4385699999999999f}, 
                                     {0.99558f, 0.43757999999999997f, 0.43757999999999997f}, 
                                     {0.99559f, 0.4365899999999999f, 0.4365899999999999f}, {0.9956f, 0.4356f, 0.4356f}, 
                                     {0.99561f, 0.43460999999999994f, 0.43460999999999994f}, 
                                     {0.99562f, 0.4336199999999999f, 0.4336199999999999f}, 
                                     {0.99563f, 0.43262999999999996f, 0.43262999999999996f}, 
                                     {0.99564f, 0.4316399999999999f, 0.4316399999999999f}, 
                                     {0.99565f, 0.43065f, 0.43065f}, {0.99566f, 0.42965999999999993f, 
                                                                   0.42965999999999993f}, {0.9956699999999999f, 0.4286699999999999f, 
                                                                                          0.4286699999999999f}, {0.99568f, 0.42767999999999995f, 0.42767999999999995f}, 
                                     {0.99569f, 0.4266899999999999f, 0.4266899999999999f}, 
                                     {0.9957f, 0.42569999999999997f, 0.42569999999999997f}, 
                                     {0.99571f, 0.4247099999999999f, 0.4247099999999999f}, 
                                     {0.99572f, 0.42372f, 0.42372f}, {0.99573f, 0.42272999999999994f, 
                                                                   0.42272999999999994f}, {0.99574f, 0.4217399999999999f, 0.4217399999999999f}, 
                                     {0.99575f, 0.42074999999999996f, 0.42074999999999996f}, 
                                     {0.99576f, 0.4197599999999999f, 0.4197599999999999f}, 
                                     {0.99577f, 0.4187700000000001f, 0.4187700000000001f}, 
                                     {0.99578f, 0.41778000000000004f, 0.41778000000000004f}, 
                                     {0.99579f, 0.41679f, 0.41679f}, {0.9958f, 0.41580000000000006f, 
                                                                   0.41580000000000006f}, {0.99581f, 0.41481f, 0.41481f}, 
                                     {0.99582f, 0.4138200000000001f, 0.4138200000000001f}, 
                                     {0.99583f, 0.41283000000000003f, 0.41283000000000003f}, 
                                     {0.99584f, 0.41184f, 0.41184f}, {0.99585f, 0.41085000000000005f, 
                                                                   0.41085000000000005f}, {0.99586f, 0.40986f, 0.40986f}, 
                                     {0.99587f, 0.40887000000000007f, 0.40887000000000007f}, 
                                     {0.99588f, 0.40788f, 0.40788f}, {0.9958899999999999f, 0.40689f, 0.40689f}, 
                                     {0.9959f, 0.40590000000000004f, 0.40590000000000004f}, 
                                     {0.99591f, 0.40491f, 0.40491f}, {0.99592f, 0.40392000000000006f, 
                                                                   0.40392000000000006f}, {0.99593f, 0.40293f, 0.40293f}, 
                                     {0.99594f, 0.4019400000000001f, 0.4019400000000001f}, 
                                     {0.99595f, 0.40095000000000003f, 0.40095000000000003f}, 
                                     {0.99596f, 0.39996f, 0.39996f}, {0.99597f, 0.39897000000000005f, 
                                                                   0.39897000000000005f}, {0.99598f, 0.39798f, 0.39798f}, 
                                     {0.99599f, 0.39699000000000007f, 0.39699000000000007f}, {0.996f, 0.396f, 0.396f}, 
                                     {0.99601f, 0.39501f, 0.39501f}, {0.99602f, 0.39402000000000004f, 
                                                                   0.39402000000000004f}, {0.99603f, 0.39303f, 0.39303f}, 
                                     {0.99604f, 0.39204000000000006f, 0.39204000000000006f}, 
                                     {0.99605f, 0.39105f, 0.39105f}, {0.99606f, 0.39005999999999996f, 
                                                                   0.39005999999999996f}, {0.99607f, 0.38907f, 0.38907f}, 
                                     {0.99608f, 0.38808f, 0.38808f}, {0.99609f, 0.38709000000000005f, 
                                                                   0.38709000000000005f}, {0.9961f, 0.3861f, 0.3861f}, 
                                     {0.99611f, 0.38511000000000006f, 0.38511000000000006f}, 
                                     {0.99612f, 0.38412f, 0.38412f}, {0.99613f, 0.38312999999999997f, 
                                                                   0.38312999999999997f}, {0.99614f, 0.38214000000000004f, 0.38214000000000004f}, 
                                     {0.99615f, 0.38115f, 0.38115f}, {0.99616f, 0.38016000000000005f, 
                                                                   0.38016000000000005f}, {0.99617f, 0.37917f, 0.37917f}, 
                                     {0.99618f, 0.37817999999999996f, 0.37817999999999996f}, 
                                     {0.99619f, 0.37719f, 0.37719f}, {0.9962f, 0.3762f, 0.3762f}, 
                                     {0.99621f, 0.37521000000000004f, 0.37521000000000004f}, 
                                     {0.99622f, 0.37422f, 0.37422f}, {0.99623f, 0.37322999999999995f, 
                                                                   0.37322999999999995f}, {0.99624f, 0.37224f, 0.37224f}, 
                                     {0.99625f, 0.37124999999999997f, 0.37124999999999997f}, 
                                     {0.99626f, 0.37026000000000003f, 0.37026000000000003f}, 
                                     {0.99627f, 0.36927f, 0.36927f}, {0.9962799999999999f, 0.36827999999999994f, 
                                                                   0.36827999999999994f}, {0.99629f, 0.36729f, 0.36729f}, 
                                     {0.9963f, 0.36629999999999996f, 0.36629999999999996f}, 
                                     {0.99631f, 0.36531f, 0.36531f}, {0.99632f, 0.36432f, 0.36432f}, 
                                     {0.99633f, 0.36333000000000004f, 0.36333000000000004f}, 
                                     {0.99634f, 0.36234f, 0.36234f}, {0.99635f, 0.36134999999999995f, 
                                                                   0.36134999999999995f}, {0.99636f, 0.36036f, 0.36036f}, 
                                     {0.99637f, 0.35936999999999997f, 0.35936999999999997f}, 
                                     {0.99638f, 0.35838000000000003f, 0.35838000000000003f}, 
                                     {0.99639f, 0.35739f, 0.35739f}, {0.9964f, 0.35639999999999994f, 
                                                                   0.35639999999999994f}, {0.99641f, 0.35541f, 0.35541f}, 
                                     {0.99642f, 0.35441999999999996f, 0.35441999999999996f}, 
                                     {0.99643f, 0.35343f, 0.35343f}, {0.99644f, 0.35244f, 0.35244f}, 
                                     {0.99645f, 0.35144999999999993f, 0.35144999999999993f}, 
                                     {0.99646f, 0.35046f, 0.35046f}, {0.99647f, 0.34946999999999995f, 
                                                                   0.34946999999999995f}, {0.99648f, 0.34848f, 0.34848f}, 
                                     {0.99649f, 0.34748999999999997f, 0.34748999999999997f}, 
                                     {0.9964999999999999f, 0.34650000000000003f, 0.34650000000000003f}, 
                                     {0.99651f, 0.34551f, 0.34551f}, {0.99652f, 0.34451999999999994f, 
                                                                   0.34451999999999994f}, {0.99653f, 0.34353f, 0.34353f}, 
                                     {0.99654f, 0.34253999999999996f, 0.34253999999999996f}, 
                                     {0.99655f, 0.34155f, 0.34155f}, {0.99656f, 0.34056f, 0.34056f}, 
                                     {0.99657f, 0.3395699999999999f, 0.3395699999999999f}, 
                                     {0.99658f, 0.33858f, 0.33858f}, {0.99659f, 0.33758999999999995f, 
                                                                   0.33758999999999995f}, {0.9966f, 0.3366f, 0.3366f}, 
                                     {0.99661f, 0.33560999999999996f, 0.33560999999999996f}, 
                                     {0.99662f, 0.3346199999999999f, 0.3346199999999999f}, 
                                     {0.99663f, 0.33363f, 0.33363f}, {0.99664f, 0.33263999999999994f, 
                                                                   0.33263999999999994f}, {0.99665f, 0.33165f, 0.33165f}, 
                                     {0.99666f, 0.33065999999999995f, 0.33065999999999995f}, 
                                     {0.99667f, 0.3296699999999999f, 0.3296699999999999f}, 
                                     {0.99668f, 0.32867999999999997f, 0.32867999999999997f}, 
                                     {0.99669f, 0.3276899999999999f, 0.3276899999999999f}, {0.9967f, 0.3267f, 0.3267f}, 
                                     {0.99671f, 0.32570999999999994f, 0.32570999999999994f}, 
                                     {0.99672f, 0.32472f, 0.32472f}, {0.99673f, 0.32372999999999996f, 
                                                                   0.32372999999999996f}, {0.99674f, 0.3227399999999999f, 0.3227399999999999f}, 
                                     {0.99675f, 0.32175f, 0.32175f}, {0.99676f, 0.32075999999999993f, 
                                                                   0.32075999999999993f}, {0.99677f, 0.31977f, 0.31977f}, 
                                     {0.99678f, 0.31877999999999995f, 0.31877999999999995f}, 
                                     {0.99679f, 0.3177899999999999f, 0.3177899999999999f}, 
                                     {0.9968f, 0.31679999999999997f, 0.31679999999999997f}, 
                                     {0.99681f, 0.3158099999999999f, 0.3158099999999999f}, 
                                     {0.99682f, 0.31482f, 0.31482f}, {0.99683f, 0.31382999999999994f, 
                                                                   0.31382999999999994f}, {0.99684f, 0.3128399999999999f, 0.3128399999999999f}, 
                                     {0.99685f, 0.31184999999999996f, 0.31184999999999996f}, 
                                     {0.99686f, 0.3108599999999999f, 0.3108599999999999f}, 
                                     {0.99687f, 0.30987f, 0.30987f}, {0.99688f, 0.30887999999999993f, 
                                                                   0.30887999999999993f}, {0.9968899999999999f, 0.3078899999999999f, 
                                                                                          0.3078899999999999f}, {0.9969f, 0.30689999999999995f, 0.30689999999999995f}, 
                                     {0.99691f, 0.3059099999999999f, 0.3059099999999999f}, 
                                     {0.99692f, 0.30491999999999997f, 0.30491999999999997f}, 
                                     {0.99693f, 0.3039299999999999f, 0.3039299999999999f}, 
                                     {0.99694f, 0.30294f, 0.30294f}, {0.99695f, 0.30194999999999994f, 
                                                                   0.30194999999999994f}, {0.99696f, 0.3009599999999999f, 0.3009599999999999f}, 
                                     {0.99697f, 0.29996999999999996f, 0.29996999999999996f}, 
                                     {0.99698f, 0.2989799999999999f, 0.2989799999999999f}, 
                                     {0.99699f, 0.29799f, 0.29799f}, {0.997f, 0.29699999999999993f, 
                                                                   0.29699999999999993f}, {0.99701f, 0.2960099999999999f, 0.2960099999999999f}, 
                                     {0.99702f, 0.29501999999999995f, 0.29501999999999995f}, 
                                     {0.99703f, 0.2940299999999999f, 0.2940299999999999f}, 
                                     {0.99704f, 0.2930400000000001f, 0.2930400000000001f}, 
                                     {0.99705f, 0.29205000000000003f, 0.29205000000000003f}, 
                                     {0.99706f, 0.29106f, 0.29106f}, {0.99707f, 0.29007000000000005f, 
                                                                   0.29007000000000005f}, {0.99708f, 0.28908f, 0.28908f}, 
                                     {0.99709f, 0.28809000000000007f, 0.28809000000000007f}, 
                                     {0.9971f, 0.2871f, 0.2871f}, {0.99711f, 0.2861100000000001f, 0.2861100000000001f}, 
                                     {0.99712f, 0.28512000000000004f, 0.28512000000000004f}, 
                                     {0.99713f, 0.28413f, 0.28413f}, {0.99714f, 0.28314000000000006f, 
                                                                   0.28314000000000006f}, {0.99715f, 0.28215f, 0.28215f}, 
                                     {0.99716f, 0.2811600000000001f, 0.2811600000000001f}, 
                                     {0.99717f, 0.28017000000000003f, 0.28017000000000003f}, 
                                     {0.99718f, 0.27918f, 0.27918f}, {0.99719f, 0.27819000000000005f, 
                                                                   0.27819000000000005f}, {0.9972f, 0.2772f, 0.2772f}, 
                                     {0.99721f, 0.27621000000000007f, 0.27621000000000007f}, 
                                     {0.99722f, 0.27522f, 0.27522f}, {0.99723f, 0.27423f, 0.27423f}, 
                                     {0.99724f, 0.27324000000000004f, 0.27324000000000004f}, 
                                     {0.99725f, 0.27225f, 0.27225f}, {0.99726f, 0.27126000000000006f, 
                                                                   0.27126000000000006f}, {0.99727f, 0.27027f, 0.27027f}, 
                                     {0.9972799999999999f, 0.26927999999999996f, 0.26927999999999996f}, 
                                     {0.99729f, 0.26829000000000003f, 0.26829000000000003f}, 
                                     {0.9973f, 0.2673f, 0.2673f}, {0.99731f, 0.26631000000000005f, 
                                                                0.26631000000000005f}, {0.99732f, 0.26532f, 0.26532f}, 
                                     {0.99733f, 0.26433000000000006f, 0.26433000000000006f}, 
                                     {0.99734f, 0.26334f, 0.26334f}, {0.99735f, 0.26234999999999997f, 
                                                                   0.26234999999999997f}, {0.99736f, 0.26136000000000004f, 0.26136000000000004f}, 
                                     {0.99737f, 0.26037f, 0.26037f}, {0.99738f, 0.25938000000000005f, 
                                                                   0.25938000000000005f}, {0.99739f, 0.25839f, 0.25839f}, 
                                     {0.9974f, 0.25739999999999996f, 0.25739999999999996f}, 
                                     {0.99741f, 0.25641f, 0.25641f}, {0.99742f, 0.25542f, 0.25542f}, 
                                     {0.99743f, 0.25443000000000005f, 0.25443000000000005f}, 
                                     {0.99744f, 0.25344f, 0.25344f}, {0.99745f, 0.25244999999999995f, 
                                                                   0.25244999999999995f}, {0.99746f, 0.25146f, 0.25146f}, 
                                     {0.99747f, 0.25046999999999997f, 0.25046999999999997f}, 
                                     {0.99748f, 0.24948000000000004f, 0.24948000000000004f}, 
                                     {0.99749f, 0.24849f, 0.24849f}, {0.9975f, 0.24750000000000005f, 
                                                                   0.24750000000000005f}, {0.99751f, 0.24651f, 0.24651f}, 
                                     {0.99752f, 0.24551999999999996f, 0.24551999999999996f}, 
                                     {0.99753f, 0.24453000000000003f, 0.24453000000000003f}, 
                                     {0.99754f, 0.24353999999999998f, 0.24353999999999998f}, 
                                     {0.99755f, 0.24255000000000004f, 0.24255000000000004f}, 
                                     {0.99756f, 0.24156f, 0.24156f}, {0.99757f, 0.24056999999999995f, 
                                                                   0.24056999999999995f}, {0.99758f, 0.23958000000000002f, 0.23958000000000002f}, 
                                     {0.99759f, 0.23858999999999997f, 0.23858999999999997f}, 
                                     {0.9976f, 0.23760000000000003f, 0.23760000000000003f}, 
                                     {0.99761f, 0.23661f, 0.23661f}, {0.99762f, 0.23561999999999994f, 
                                                                   0.23561999999999994f}, {0.99763f, 0.23463f, 0.23463f}, 
                                     {0.99764f, 0.23363999999999996f, 0.23363999999999996f}, 
                                     {0.99765f, 0.23265000000000002f, 0.23265000000000002f}, 
                                     {0.99766f, 0.23165999999999998f, 0.23165999999999998f}, 
                                     {0.99767f, 0.23066999999999993f, 0.23066999999999993f}, 
                                     {0.99768f, 0.22968f, 0.22968f}, {0.99769f, 0.22868999999999995f, 
                                                                   0.22868999999999995f}, {0.9977f, 0.2277f, 0.2277f}, 
                                     {0.99771f, 0.22670999999999997f, 0.22670999999999997f}, 
                                     {0.99772f, 0.22572000000000003f, 0.22572000000000003f}, 
                                     {0.99773f, 0.22472999999999999f, 0.22472999999999999f}, 
                                     {0.99774f, 0.22373999999999994f, 0.22373999999999994f}, 
                                     {0.99775f, 0.22275f, 0.22275f}, {0.99776f, 0.22175999999999996f, 
                                                                   0.22175999999999996f}, {0.99777f, 0.22077000000000002f, 0.22077000000000002f}, 
                                     {0.99778f, 0.21977999999999998f, 0.21977999999999998f}, 
                                     {0.99779f, 0.21878999999999993f, 0.21878999999999993f}, 
                                     {0.9978f, 0.2178f, 0.2178f}, {0.99781f, 0.21680999999999995f, 
                                                                0.21680999999999995f}, {0.99782f, 0.21582f, 0.21582f}, 
                                     {0.99783f, 0.21482999999999997f, 0.21482999999999997f}, 
                                     {0.99784f, 0.21383999999999992f, 0.21383999999999992f}, 
                                     {0.99785f, 0.21284999999999998f, 0.21284999999999998f}, 
                                     {0.99786f, 0.21185999999999994f, 0.21185999999999994f}, 
                                     {0.99787f, 0.21087f, 0.21087f}, {0.99788f, 0.20987999999999996f, 
                                                                   0.20987999999999996f}, {0.9978899999999999f, 0.2088899999999999f, 
                                                                                          0.2088899999999999f}, {0.9979f, 0.20789999999999997f, 0.20789999999999997f}, 
                                     {0.99791f, 0.20690999999999993f, 0.20690999999999993f}, 
                                     {0.99792f, 0.20592f, 0.20592f}, {0.99793f, 0.20492999999999995f, 
                                                                   0.20492999999999995f}, {0.99794f, 0.20394f, 0.20394f}, 
                                     {0.99795f, 0.20294999999999996f, 0.20294999999999996f}, 
                                     {0.99796f, 0.20195999999999992f, 0.20195999999999992f}, 
                                     {0.99797f, 0.20096999999999998f, 0.20096999999999998f}, 
                                     {0.99798f, 0.19997999999999994f, 0.19997999999999994f}, 
                                     {0.99799f, 0.19899f, 0.19899f}, {0.998f, 0.19799999999999995f, 
                                                                   0.19799999999999995f}, {0.99801f, 0.1970099999999999f, 0.1970099999999999f}, 
                                     {0.99802f, 0.19601999999999997f, 0.19601999999999997f}, 
                                     {0.99803f, 0.19502999999999993f, 0.19502999999999993f}, 
                                     {0.99804f, 0.19404f, 0.19404f}, {0.99805f, 0.19304999999999994f, 
                                                                   0.19304999999999994f}, {0.99806f, 0.1920599999999999f, 0.1920599999999999f}, 
                                     {0.99807f, 0.19106999999999996f, 0.19106999999999996f}, 
                                     {0.99808f, 0.19007999999999992f, 0.19007999999999992f}, 
                                     {0.99809f, 0.18908999999999998f, 0.18908999999999998f}, 
                                     {0.9981f, 0.18809999999999993f, 0.18809999999999993f}, 
                                     {0.99811f, 0.18711f, 0.18711f}, {0.99812f, 0.18611999999999995f, 
                                                                   0.18611999999999995f}, {0.99813f, 0.1851299999999999f, 0.1851299999999999f}, 
                                     {0.99814f, 0.18413999999999997f, 0.18413999999999997f}, 
                                     {0.99815f, 0.18314999999999992f, 0.18314999999999992f}, 
                                     {0.99816f, 0.18216f, 0.18216f}, {0.99817f, 0.18116999999999994f, 
                                                                   0.18116999999999994f}, {0.99818f, 0.1801799999999999f, 0.1801799999999999f}, 
                                     {0.99819f, 0.17918999999999996f, 0.17918999999999996f}, 
                                     {0.9982f, 0.17819999999999991f, 0.17819999999999991f}, 
                                     {0.99821f, 0.17720999999999998f, 0.17720999999999998f}, 
                                     {0.99822f, 0.17621999999999993f, 0.17621999999999993f}, 
                                     {0.99823f, 0.17522999999999989f, 0.17522999999999989f}, 
                                     {0.99824f, 0.17423999999999995f, 0.17423999999999995f}, 
                                     {0.99825f, 0.1732499999999999f, 0.1732499999999999f}, 
                                     {0.99826f, 0.17225999999999997f, 0.17225999999999997f}, 
                                     {0.99827f, 0.17126999999999992f, 0.17126999999999992f}, 
                                     {0.99828f, 0.17027999999999988f, 0.17027999999999988f}, 
                                     {0.99829f, 0.16928999999999994f, 0.16928999999999994f}, 
                                     {0.9983f, 0.1682999999999999f, 0.1682999999999999f}, 
                                     {0.99831f, 0.16730999999999996f, 0.16730999999999996f}, 
                                     {0.99832f, 0.1663199999999999f, 0.1663199999999999f}, 
                                     {0.99833f, 0.1653300000000001f, 0.1653300000000001f}, 
                                     {0.99834f, 0.16434000000000004f, 0.16434000000000004f}, 
                                     {0.99835f, 0.16335f, 0.16335f}, {0.99836f, 0.16236000000000006f, 
                                                                   0.16236000000000006f}, {0.99837f, 0.16137f, 0.16137f}, 
                                     {0.99838f, 0.16038000000000008f, 0.16038000000000008f}, 
                                     {0.99839f, 0.15939000000000003f, 0.15939000000000003f}, 
                                     {0.9984f, 0.15839999999999999f, 0.15839999999999999f}, 
                                     {0.99841f, 0.15741000000000005f, 0.15741000000000005f}, 
                                     {0.99842f, 0.15642f, 0.15642f}, {0.99843f, 0.15543000000000007f, 
                                                                   0.15543000000000007f}, {0.99844f, 0.15444000000000002f, 0.15444000000000002f}, 
                                     {0.99845f, 0.15344999999999998f, 0.15344999999999998f}, 
                                     {0.99846f, 0.15246000000000004f, 0.15246000000000004f}, 
                                     {0.99847f, 0.15147f, 0.15147f}, {0.99848f, 0.15048000000000006f, 
                                                                   0.15048000000000006f}, {0.99849f, 0.14949f, 0.14949f}, 
                                     {0.9984999999999999f, 0.14849999999999997f, 0.14849999999999997f}, 
                                     {0.99851f, 0.14751000000000003f, 0.14751000000000003f}, 
                                     {0.99852f, 0.14651999999999998f, 0.14651999999999998f}, 
                                     {0.99853f, 0.14553000000000005f, 0.14553000000000005f}, 
                                     {0.99854f, 0.14454f, 0.14454f}, {0.99855f, 0.14355000000000007f, 
                                                                   0.14355000000000007f}, {0.99856f, 0.14256000000000002f, 0.14256000000000002f}, 
                                     {0.99857f, 0.14156999999999997f, 0.14156999999999997f}, 
                                     {0.99858f, 0.14058000000000004f, 0.14058000000000004f}, 
                                     {0.99859f, 0.13959f, 0.13959f}, {0.9986f, 0.13860000000000006f, 
                                                                   0.13860000000000006f}, {0.99861f, 0.13761f, 0.13761f}, 
                                     {0.99862f, 0.13661999999999996f, 0.13661999999999996f}, 
                                     {0.99863f, 0.13563000000000003f, 0.13563000000000003f}, 
                                     {0.99864f, 0.13463999999999998f, 0.13463999999999998f}, 
                                     {0.99865f, 0.13365000000000005f, 0.13365000000000005f}, 
                                     {0.99866f, 0.13266f, 0.13266f}, {0.99867f, 0.13166999999999995f, 
                                                                   0.13166999999999995f}, {0.99868f, 0.13068000000000002f, 0.13068000000000002f}, 
                                     {0.99869f, 0.12968999999999997f, 0.12968999999999997f}, 
                                     {0.9987f, 0.12870000000000004f, 0.12870000000000004f}, 
                                     {0.99871f, 0.12771f, 0.12771f}, {0.99872f, 0.12672000000000005f, 
                                                                   0.12672000000000005f}, {0.99873f, 0.12573f, 0.12573f}, 
                                     {0.99874f, 0.12473999999999996f, 0.12473999999999996f}, 
                                     {0.99875f, 0.12375000000000003f, 0.12375000000000003f}, 
                                     {0.99876f, 0.12275999999999998f, 0.12275999999999998f}, 
                                     {0.99877f, 0.12177000000000004f, 0.12177000000000004f}, 
                                     {0.99878f, 0.12078f, 0.12078f}, {0.99879f, 0.11978999999999995f, 
                                                                   0.11978999999999995f}, {0.9988f, 0.11880000000000002f, 0.11880000000000002f}, 
                                     {0.99881f, 0.11780999999999997f, 0.11780999999999997f}, 
                                     {0.99882f, 0.11682000000000003f, 0.11682000000000003f}, 
                                     {0.99883f, 0.11582999999999999f, 0.11582999999999999f}, 
                                     {0.99884f, 0.11483999999999994f, 0.11483999999999994f}, 
                                     {0.99885f, 0.11385f, 0.11385f}, {0.99886f, 0.11285999999999996f, 
                                                                   0.11285999999999996f}, {0.99887f, 0.11187000000000002f, 0.11187000000000002f}, 
                                     {0.99888f, 0.11087999999999998f, 0.11087999999999998f}, 
                                     {0.99889f, 0.10988999999999993f, 0.10988999999999993f}, 
                                     {0.9989f, 0.1089f, 0.1089f}, {0.99891f, 0.10790999999999995f, 
                                                                0.10790999999999995f}, {0.99892f, 0.10692000000000002f, 0.10692000000000002f}, 
                                     {0.99893f, 0.10592999999999997f, 0.10592999999999997f}, 
                                     {0.99894f, 0.10494000000000003f, 0.10494000000000003f}, 
                                     {0.99895f, 0.10394999999999999f, 0.10394999999999999f}, 
                                     {0.99896f, 0.10295999999999994f, 0.10295999999999994f}, 
                                     {0.99897f, 0.10197f, 0.10197f}, {0.99898f, 0.10097999999999996f, 
                                                                   0.10097999999999996f}, {0.99899f, 0.09999000000000002f, 0.09999000000000002f}, 
                                     {0.999f, 0.09899999999999998f, 0.09899999999999998f}, 
                                     {0.99901f, 0.09800999999999993f, 0.09800999999999993f}, 
                                     {0.99902f, 0.09702f, 0.09702f}, {0.99903f, 0.09602999999999995f, 
                                                                   0.09602999999999995f}, {0.99904f, 0.09504000000000001f, 0.09504000000000001f}, 
                                     {0.99905f, 0.09404999999999997f, 0.09404999999999997f}, 
                                     {0.99906f, 0.09305999999999992f, 0.09305999999999992f}, 
                                     {0.99907f, 0.09206999999999999f, 0.09206999999999999f}, 
                                     {0.99908f, 0.09107999999999994f, 0.09107999999999994f}, 
                                     {0.99909f, 0.09009f, 0.09009f}, {0.9991f, 0.08909999999999996f, 
                                                                   0.08909999999999996f}, {0.99911f, 0.08811000000000002f, 0.08811000000000002f}, 
                                     {0.99912f, 0.08711999999999998f, 0.08711999999999998f}, 
                                     {0.99913f, 0.08612999999999993f, 0.08612999999999993f}, 
                                     {0.99914f, 0.08514f, 0.08514f}, {0.99915f, 0.08414999999999995f, 
                                                                   0.08414999999999995f}, {0.99916f, 0.08316000000000001f, 0.08316000000000001f}, 
                                     {0.99917f, 0.08216999999999997f, 0.08216999999999997f}, 
                                     {0.99918f, 0.08117999999999992f, 0.08117999999999992f}, 
                                     {0.99919f, 0.08018999999999998f, 0.08018999999999998f}, 
                                     {0.9992f, 0.07919999999999994f, 0.07919999999999994f}, 
                                     {0.99921f, 0.07821f, 0.07821f}, {0.99922f, 0.07721999999999996f, 
                                                                   0.07721999999999996f}, {0.99923f, 0.07622999999999991f, 0.07622999999999991f}, 
                                     {0.99924f, 0.07523999999999997f, 0.07523999999999997f}, 
                                     {0.99925f, 0.07424999999999993f, 0.07424999999999993f}, 
                                     {0.99926f, 0.07325999999999999f, 0.07325999999999999f}, 
                                     {0.99927f, 0.07226999999999995f, 0.07226999999999995f}, 
                                     {0.99928f, 0.0712799999999999f, 0.0712799999999999f}, 
                                     {0.99929f, 0.07028999999999996f, 0.07028999999999996f}, 
                                     {0.9993f, 0.06929999999999992f, 0.06929999999999992f}, 
                                     {0.99931f, 0.06830999999999998f, 0.06830999999999998f}, 
                                     {0.99932f, 0.06731999999999994f, 0.06731999999999994f}, 
                                     {0.99933f, 0.06633f, 0.06633f}, {0.99934f, 0.06533999999999995f, 
                                                                   0.06533999999999995f}, {0.99935f, 0.06434999999999991f, 0.06434999999999991f}, 
                                     {0.99936f, 0.06335999999999997f, 0.06335999999999997f}, 
                                     {0.99937f, 0.062369999999999925f, 0.062369999999999925f}, 
                                     {0.99938f, 0.06137999999999999f, 0.06137999999999999f}, 
                                     {0.99939f, 0.060389999999999944f, 0.060389999999999944f}, 
                                     {0.9994f, 0.0593999999999999f, 0.0593999999999999f}, 
                                     {0.99941f, 0.05840999999999996f, 0.05840999999999996f}, 
                                     {0.99942f, 0.057419999999999916f, 0.057419999999999916f}, 
                                     {0.99943f, 0.05642999999999998f, 0.05642999999999998f}, 
                                     {0.99944f, 0.055439999999999934f, 0.055439999999999934f}, 
                                     {0.99945f, 0.05444999999999989f, 0.05444999999999989f}, 
                                     {0.99946f, 0.05345999999999995f, 0.05345999999999995f}, 
                                     {0.99947f, 0.052469999999999906f, 0.052469999999999906f}, 
                                     {0.99948f, 0.05147999999999997f, 0.05147999999999997f}, 
                                     {0.99949f, 0.050489999999999924f, 0.050489999999999924f}, 
                                     {0.9995f, 0.04949999999999999f, 0.04949999999999999f}, 
                                     {0.99951f, 0.04850999999999994f, 0.04850999999999994f}, 
                                     {0.99952f, 0.047519999999999896f, 0.047519999999999896f}, 
                                     {0.99953f, 0.04652999999999996f, 0.04652999999999996f}, 
                                     {0.99954f, 0.045539999999999914f, 0.045539999999999914f}, 
                                     {0.99955f, 0.04454999999999998f, 0.04454999999999998f}, 
                                     {0.99956f, 0.04355999999999993f, 0.04355999999999993f}, 
                                     {0.99957f, 0.042569999999999886f, 0.042569999999999886f}, 
                                     {0.99958f, 0.04157999999999995f, 0.04157999999999995f}, 
                                     {0.99959f, 0.040589999999999904f, 0.040589999999999904f}, 
                                     {0.9996f, 0.03960000000000008f, 0.03960000000000008f}, 
                                     {0.99961f, 0.03861000000000003f, 0.03861000000000003f}, 
                                     {0.99962f, 0.03761999999999999f, 0.03761999999999999f}, 
                                     {0.99963f, 0.03663000000000005f, 0.03663000000000005f}, 
                                     {0.99964f, 0.035640000000000005f, 0.035640000000000005f}, 
                                     {0.99965f, 0.03465000000000007f, 0.03465000000000007f}, 
                                     {0.99966f, 0.03366000000000002f, 0.03366000000000002f}, 
                                     {0.99967f, 0.03266999999999998f, 0.03266999999999998f}, 
                                     {0.99968f, 0.03168000000000004f, 0.03168000000000004f}, 
                                     {0.99969f, 0.030689999999999995f, 0.030689999999999995f}, 
                                     {0.9997f, 0.02970000000000006f, 0.02970000000000006f}, 
                                     {0.99971f, 0.028710000000000013f, 0.028710000000000013f}, 
                                     {0.99972f, 0.027720000000000078f, 0.027720000000000078f}, 
                                     {0.99973f, 0.02673000000000003f, 0.02673000000000003f}, 
                                     {0.99974f, 0.025739999999999985f, 0.025739999999999985f}, 
                                     {0.99975f, 0.02475000000000005f, 0.02475000000000005f}, 
                                     {0.99976f, 0.023760000000000003f, 0.023760000000000003f}, 
                                     {0.99977f, 0.022770000000000068f, 0.022770000000000068f}, 
                                     {0.99978f, 0.02178000000000002f, 0.02178000000000002f}, 
                                     {0.99979f, 0.020789999999999975f, 0.020789999999999975f}, 
                                     {0.9998f, 0.01980000000000004f, 0.01980000000000004f}, 
                                     {0.99981f, 0.018809999999999993f, 0.018809999999999993f}, 
                                     {0.99982f, 0.017820000000000058f, 0.017820000000000058f}, 
                                     {0.99983f, 0.01683000000000001f, 0.01683000000000001f}, 
                                     {0.99984f, 0.015839999999999965f, 0.015839999999999965f}, 
                                     {0.99985f, 0.01485000000000003f, 0.01485000000000003f}, 
                                     {0.99986f, 0.013859999999999983f, 0.013859999999999983f}, 
                                     {0.99987f, 0.012870000000000048f, 0.012870000000000048f}, 
                                     {0.99988f, 0.011880000000000002f, 0.011880000000000002f}, 
                                     {0.99989f, 0.010889999999999955f, 0.010889999999999955f}, 
                                     {0.9999f, 0.00990000000000002f, 0.00990000000000002f}, 
                                     {0.99991f, 0.008909999999999973f, 0.008909999999999973f}, 
                                     {0.99992f, 0.007920000000000038f, 0.007920000000000038f}, 
                                     {0.99993f, 0.006929999999999992f, 0.006929999999999992f}, 
                                     {0.99994f, 0.005940000000000056f, 0.005940000000000056f}, 
                                     {0.99995f, 0.00495000000000001f, 0.00495000000000001f}, 
                                     {0.99996f, 0.0039599999999999635f, 0.0039599999999999635f}, 
                                     {0.99997f, 0.002970000000000028f, 0.002970000000000028f}, 
                                     {0.99998f, 0.0019799999999999818f, 0.0019799999999999818f}, 
                                     {0.99999f, 0.0009900000000000464f, 0.0009900000000000464f}, {1.f, 0.f, 0.f}};
const float palette_grey[1001][3]={{0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
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                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
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                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
                             {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 
                                                                                          0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 
                                                                                                                                                              0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}};
 
/*11 class divergin */
const float palette_primary[1001][3]={{0.6196078431372549f, 0.00392156862745098f, 0.2588235294117647f},
                                {0.621764705882353f, 0.006313725490196077f, 0.2593333333333333f},
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                                {0.626078431372549f, 0.011098039215686273f, 0.26035294117647056f},
                                {0.6282352941176471f, 0.01349019607843137f, 0.2608627450980392f},
                                {0.6303921568627451f, 0.01588235294117647f, 0.2613725490196078f},
                                {0.6325490196078432f, 0.018274509803921566f, 0.26188235294117646f},
                                {0.6347058823529412f, 0.020666666666666663f, 0.2623921568627451f},
                                {0.6368627450980392f, 0.02305882352941176f, 0.2629019607843137f},
                                {0.6390196078431373f, 0.025450980392156857f, 0.26341176470588235f},
                                {0.6411764705882353f, 0.027843137254901958f, 0.263921568627451f},
                                {0.6433333333333333f, 0.03023529411764705f, 0.2644313725490196f},
                                {0.6454901960784314f, 0.03262745098039215f, 0.26494117647058824f},
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                                {0.6519607843137255f, 0.03980392156862744f, 0.26647058823529407f},
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                                {0.6562745098039215f, 0.044588235294117644f, 0.26749019607843133f},
                                {0.6584313725490196f, 0.046980392156862734f, 0.26799999999999996f},
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                                {0.6692156862745098f, 0.058941176470588226f, 0.2705490196078431f},
                                {0.6713725490196079f, 0.06133333333333332f, 0.27105882352941174f},
                                {0.6735294117647059f, 0.06372549019607843f, 0.27156862745098037f},
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                                {0.68f, 0.07090196078431371f, 0.27309803921568626f},
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                                {0.6886274509803921f, 0.0804705882352941f, 0.2751372549019608f},
                                {0.6907843137254902f, 0.0828627450980392f, 0.2756470588235294f},
                                {0.6929411764705883f, 0.08525490196078431f, 0.27615686274509804f},
                                {0.6950980392156862f, 0.0876470588235294f, 0.27666666666666667f},
                                {0.6972549019607843f, 0.09003921568627449f, 0.2771764705882353f},
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                                {0.7015686274509804f, 0.09482352941176468f, 0.2781960784313725f},
                                {0.7037254901960784f, 0.09721568627450979f, 0.27870588235294114f},
                                {0.7058823529411765f, 0.09960784313725489f, 0.27921568627450977f},
                                {0.7080392156862745f, 0.10199999999999998f, 0.2797254901960784f},
                                {0.7101960784313726f, 0.10439215686274508f, 0.280235294117647f},
                                {0.7123529411764706f, 0.10678431372549016f, 0.28074509803921566f},
                                {0.7145098039215686f, 0.10917647058823526f, 0.2812549019607843f},
                                {0.7166666666666667f, 0.11156862745098037f, 0.2817647058823529f},
                                {0.7188235294117648f, 0.11396078431372547f, 0.28227450980392155f},
                                {0.7209803921568627f, 0.11635294117647056f, 0.2827843137254902f},
                                {0.7231372549019608f, 0.11874509803921567f, 0.2832941176470588f},
                                {0.7252941176470589f, 0.12113725490196077f, 0.28380392156862744f},
                                {0.7274509803921569f, 0.12352941176470586f, 0.28431372549019607f},
                                {0.7296078431372549f, 0.12592156862745096f, 0.2848235294117647f},
                                {0.731764705882353f, 0.12831372549019604f, 0.2853333333333333f},
                                {0.733921568627451f, 0.13070588235294117f, 0.28584313725490196f},
                                {0.736078431372549f, 0.13309803921568625f, 0.2863529411764706f},
                                {0.7382352941176471f, 0.13549019607843132f, 0.2868627450980392f},
                                {0.7403921568627451f, 0.13788235294117646f, 0.28737254901960785f},
                                {0.7425490196078431f, 0.14027450980392153f, 0.2878823529411765f},
                                {0.7447058823529412f, 0.14266666666666666f, 0.2883921568627451f},
                                {0.7468627450980392f, 0.14505882352941174f, 0.28890196078431374f},
                                {0.7490196078431373f, 0.14745098039215682f, 0.28941176470588237f},
                                {0.7511764705882353f, 0.14984313725490195f, 0.289921568627451f},
                                {0.7533333333333334f, 0.15223529411764702f, 0.29043137254901963f},
                                {0.7554901960784314f, 0.1546274509803921f, 0.29094117647058826f},
                                {0.7576470588235295f, 0.15701960784313723f, 0.2914509803921569f},
                                {0.7598039215686274f, 0.1594117647058823f, 0.29196078431372546f},
                                {0.7619607843137255f, 0.16180392156862744f, 0.2924705882352941f},
                                {0.7641176470588236f, 0.16419607843137252f, 0.2929803921568627f},
                                {0.7662745098039216f, 0.16658823529411765f, 0.29349019607843135f},
                                {0.7684313725490196f, 0.16898039215686272f, 0.294f},
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                                {0.3151372549019608f, 0.3790980392156863f, 0.6681176470588235f},
                                {0.31686274509803924f, 0.3768627450980392f, 0.6670588235294117f},
                                {0.3185882352941176f, 0.3746274509803922f, 0.666f},
                                {0.3203137254901961f, 0.3723921568627451f, 0.6649411764705883f},
                                {0.32203921568627447f, 0.37015686274509807f, 0.6638823529411765f},
                                {0.32376470588235295f, 0.367921568627451f, 0.6628235294117647f},
                                {0.3254901960784314f, 0.36568627450980395f, 0.6617647058823529f},
                                {0.3272156862745098f, 0.3634509803921569f, 0.6607058823529411f},
                                {0.32894117647058824f, 0.36121568627450984f, 0.6596470588235294f},
                                {0.33066666666666666f, 0.3589803921568628f, 0.6585882352941176f},
                                {0.3323921568627451f, 0.3567450980392157f, 0.6575294117647059f},
                                {0.3341176470588235f, 0.3545098039215686f, 0.6564705882352941f},
                                {0.335843137254902f, 0.3522745098039216f, 0.6554117647058824f},
                                {0.3375686274509804f, 0.3500392156862745f, 0.6543529411764706f},
                                {0.33929411764705886f, 0.3478039215686275f, 0.6532941176470588f},
                                {0.34101960784313723f, 0.3455686274509804f, 0.652235294117647f},
                                {0.3427450980392157f, 0.3433333333333334f, 0.6511764705882352f},
                                {0.3444705882352941f, 0.3410980392156863f, 0.6501176470588235f},
                                {0.34619607843137257f, 0.33886274509803926f, 0.6490588235294117f},
                                {0.34792156862745094f, 0.3366274509803922f, 0.648f},
                                {0.3496470588235294f, 0.33439215686274515f, 0.6469411764705882f},
                                {0.35137254901960785f, 0.33215686274509804f, 0.6458823529411765f},
                                {0.3530980392156863f, 0.32992156862745103f, 0.6448235294117647f},
                                {0.3548235294117647f, 0.3276862745098039f, 0.6437647058823529f},
                                {0.35654901960784313f, 0.3254509803921569f, 0.6427058823529411f},
                                {0.3582745098039216f, 0.3232156862745098f, 0.6416470588235293f},
                                {0.36f, 0.3209803921568628f, 0.6405882352941176f},
                                {0.36172549019607847f, 0.3187450980392157f, 0.6395294117647059f},
                                {0.36345098039215684f, 0.3165098039215687f, 0.6384705882352941f},
                                {0.3651764705882353f, 0.3142745098039216f, 0.6374117647058823f},
                                {0.36690196078431375f, 0.3120392156862745f, 0.6363529411764706f},
                                {0.3686274509803922f, 0.30980392156862746f, 0.6352941176470588f}};
 
/*(Table[Blend[
  Map[(RGBColor @@ # &), ({{255, 245, 240}, {254, 224, 210}, {252, 
  187, 161}, {252, 146, 114}, {251, 106, 74}, {239, 59, 
  44}, {203, 24, 29}, {165, 15, 21}, {103, 0, 13}}/255), {1}],
  x/1000], {x, 0, 1000, 1.}] /. RGBColor -> List) >> /tmp/1*/
 
const float palette_sequential_singlehue_red[1001][3]={{1.f, 0.9607843137254902f, 0.9411764705882353f}, 
                                                 {0.9999686274509804f, 0.9601254901960785f, 0.9402352941176471f}, 
                                                 {0.9999372549019608f, 0.9594666666666667f, 0.9392941176470588f}, 
                                                 {0.9999058823529412f, 0.958807843137255f, 0.9383529411764706f}, 
                                                 {0.9998745098039216f, 0.9581490196078432f, 0.9374117647058824f}, 
                                                 {0.9998431372549019f, 0.9574901960784314f, 0.936470588235294f}, 
                                                 {0.9998117647058824f, 0.9568313725490196f, 0.9355294117647058f}, 
                                                 {0.9997803921568628f, 0.9561725490196079f, 0.9345882352941176f}, 
                                                 {0.9997490196078431f, 0.9555137254901961f, 0.9336470588235294f}, 
                                                 {0.9997176470588235f, 0.9548549019607844f, 0.9327058823529412f}, 
                                                 {0.999686274509804f, 0.9541960784313726f, 0.9317647058823529f}, 
                                                 {0.9996549019607843f, 0.9535372549019608f, 0.9308235294117647f}, 
                                                 {0.9996235294117647f, 0.952878431372549f, 0.9298823529411765f}, 
                                                 {0.999592156862745f, 0.9522196078431373f, 0.9289411764705883f}, 
                                                 {0.9995607843137255f, 0.9515607843137255f, 0.9279999999999999f}, 
                                                 {0.9995294117647059f, 0.9509019607843138f, 0.9270588235294117f}, 
                                                 {0.9994980392156863f, 0.950243137254902f, 0.9261176470588235f}, 
                                                 {0.9994666666666666f, 0.9495843137254902f, 0.9251764705882353f}, 
                                                 {0.9994352941176471f, 0.9489254901960784f, 0.924235294117647f}, 
                                                 {0.9994039215686275f, 0.9482666666666667f, 0.9232941176470588f}, 
                                                 {0.9993725490196078f, 0.9476078431372549f, 0.9223529411764706f}, 
                                                 {0.9993411764705883f, 0.9469490196078432f, 0.9214117647058824f}, 
                                                 {0.9993098039215687f, 0.9462901960784313f, 0.9204705882352942f}, 
                                                 {0.999278431372549f, 0.9456313725490196f, 0.9195294117647058f}, 
                                                 {0.9992470588235294f, 0.9449725490196078f, 0.9185882352941176f}, 
                                                 {0.9992156862745099f, 0.9443137254901961f, 0.9176470588235294f}, 
                                                 {0.9991843137254902f, 0.9436549019607843f, 0.9167058823529411f}, 
                                                 {0.9991529411764706f, 0.9429960784313726f, 0.9157647058823529f}, 
                                                 {0.9991215686274509f, 0.9423372549019609f, 0.9148235294117647f}, 
                                                 {0.9990901960784314f, 0.941678431372549f, 0.9138823529411765f}, 
                                                 {0.9990588235294118f, 0.9410196078431373f, 0.9129411764705883f}, 
                                                 {0.9990274509803921f, 0.9403607843137255f, 0.912f}, 
                                                 {0.9989960784313725f, 0.9397019607843138f, 0.9110588235294117f}, 
                                                 {0.998964705882353f, 0.939043137254902f, 0.9101176470588235f}, 
                                                 {0.9989333333333333f, 0.9383843137254902f, 0.9091764705882353f}, 
                                                 {0.9989019607843137f, 0.9377254901960784f, 0.908235294117647f}, 
                                                 {0.9988705882352942f, 0.9370666666666667f, 0.9072941176470588f}, 
                                                 {0.9988392156862745f, 0.9364078431372549f, 0.9063529411764706f}, 
                                                 {0.9988078431372549f, 0.9357490196078432f, 0.9054117647058824f}, 
                                                 {0.9987764705882353f, 0.9350901960784314f, 0.9044705882352941f}, 
                                                 {0.9987450980392157f, 0.9344313725490196f, 0.9035294117647059f}, 
                                                 {0.9987137254901961f, 0.9337725490196078f, 0.9025882352941176f}, 
                                                 {0.9986823529411765f, 0.9331137254901961f, 0.9016470588235294f}, 
                                                 {0.9986509803921568f, 0.9324549019607843f, 0.9007058823529411f}, 
                                                 {0.9986196078431373f, 0.9317960784313726f, 0.8997647058823529f}, 
                                                 {0.9985882352941177f, 0.9311372549019608f, 0.8988235294117647f}, 
                                                 {0.998556862745098f, 0.930478431372549f, 0.8978823529411765f}, 
                                                 {0.9985254901960784f, 0.9298196078431372f, 0.8969411764705882f}, 
                                                 {0.9984941176470589f, 0.9291607843137255f, 0.896f}, 
                                                 {0.9984627450980392f, 0.9285019607843137f, 0.8950588235294117f}, 
                                                 {0.9984313725490196f, 0.927843137254902f, 0.8941176470588235f}, 
                                                 {0.9984f, 0.9271843137254903f, 0.8931764705882352f}, 
                                                 {0.9983686274509804f, 0.9265254901960784f, 0.892235294117647f}, 
                                                 {0.9983372549019608f, 0.9258666666666667f, 0.8912941176470588f}, 
                                                 {0.9983058823529412f, 0.9252078431372549f, 0.8903529411764706f}, 
                                                 {0.9982745098039216f, 0.9245490196078432f, 0.8894117647058823f}, 
                                                 {0.998243137254902f, 0.9238901960784314f, 0.8884705882352941f}, 
                                                 {0.9982117647058824f, 0.9232313725490197f, 0.8875294117647059f}, 
                                                 {0.9981803921568627f, 0.9225725490196078f, 0.8865882352941177f}, 
                                                 {0.9981490196078432f, 0.9219137254901961f, 0.8856470588235293f}, 
                                                 {0.9981176470588236f, 0.9212549019607843f, 0.8847058823529411f}, 
                                                 {0.9980862745098039f, 0.9205960784313726f, 0.8837647058823529f}, 
                                                 {0.9980549019607843f, 0.9199372549019608f, 0.8828235294117647f}, 
                                                 {0.9980235294117648f, 0.919278431372549f, 0.8818823529411765f}, 
                                                 {0.9979921568627451f, 0.9186196078431372f, 0.8809411764705882f}, 
                                                 {0.9979607843137255f, 0.9179607843137255f, 0.88f}, 
                                                 {0.9979294117647058f, 0.9173019607843137f, 0.8790588235294118f}, 
                                                 {0.9978980392156863f, 0.916643137254902f, 0.8781176470588234f}, 
                                                 {0.9978666666666667f, 0.9159843137254902f, 0.8771764705882352f}, 
                                                 {0.997835294117647f, 0.9153254901960785f, 0.876235294117647f}, 
                                                 {0.9978039215686274f, 0.9146666666666666f, 0.8752941176470588f}, 
                                                 {0.9977725490196079f, 0.9140078431372549f, 0.8743529411764706f}, 
                                                 {0.9977411764705882f, 0.9133490196078431f, 0.8734117647058823f}, 
                                                 {0.9977098039215686f, 0.9126901960784314f, 0.8724705882352941f}, 
                                                 {0.9976784313725491f, 0.9120313725490197f, 0.8715294117647059f}, 
                                                 {0.9976470588235294f, 0.9113725490196078f, 0.8705882352941177f}, 
                                                 {0.9976156862745098f, 0.910713725490196f, 0.8696470588235294f}, 
                                                 {0.9975843137254902f, 0.9100549019607843f, 0.8687058823529411f}, 
                                                 {0.9975529411764706f, 0.9093960784313726f, 0.8677647058823529f}, 
                                                 {0.997521568627451f, 0.9087372549019608f, 0.8668235294117647f}, 
                                                 {0.9974901960784314f, 0.9080784313725491f, 0.8658823529411764f}, 
                                                 {0.9974588235294117f, 0.9074196078431372f, 0.8649411764705882f}, 
                                                 {0.9974274509803922f, 0.9067607843137255f, 0.864f}, 
                                                 {0.9973960784313726f, 0.9061019607843137f, 0.8630588235294118f}, 
                                                 {0.9973647058823529f, 0.905443137254902f, 0.8621176470588234f}, 
                                                 {0.9973333333333333f, 0.9047843137254902f, 0.8611764705882352f}, 
                                                 {0.9973019607843138f, 0.9041254901960785f, 0.860235294117647f}, 
                                                 {0.9972705882352941f, 0.9034666666666666f, 0.8592941176470588f}, 
                                                 {0.9972392156862745f, 0.9028078431372549f, 0.8583529411764705f}, 
                                                 {0.9972078431372549f, 0.9021490196078431f, 0.8574117647058823f}, 
                                                 {0.9971764705882353f, 0.9014901960784314f, 0.8564705882352941f}, 
                                                 {0.9971450980392157f, 0.9008313725490196f, 0.8555294117647059f}, 
                                                 {0.9971137254901961f, 0.9001725490196079f, 0.8545882352941176f}, 
                                                 {0.9970823529411765f, 0.899513725490196f, 0.8536470588235294f}, 
                                                 {0.9970509803921569f, 0.8988549019607843f, 0.8527058823529412f}, 
                                                 {0.9970196078431373f, 0.8981960784313725f, 0.8517647058823529f}, 
                                                 {0.9969882352941176f, 0.8975372549019608f, 0.8508235294117646f}, 
                                                 {0.9969568627450981f, 0.896878431372549f, 0.8498823529411764f}, 
                                                 {0.9969254901960785f, 0.8962196078431373f, 0.8489411764705882f}, 
                                                 {0.9968941176470588f, 0.8955607843137254f, 0.848f}, 
                                                 {0.9968627450980392f, 0.8949019607843137f, 0.8470588235294118f}, 
                                                 {0.9968313725490197f, 0.894243137254902f, 0.8461176470588235f}, 
                                                 {0.9968f, 0.8935843137254902f, 0.8451764705882352f}, 
                                                 {0.9967686274509804f, 0.8929254901960784f, 0.844235294117647f}, 
                                                 {0.9967372549019607f, 0.8922666666666667f, 0.8432941176470587f}, 
                                                 {0.9967058823529412f, 0.8916078431372549f, 0.8423529411764705f}, 
                                                 {0.9966745098039216f, 0.8909490196078431f, 0.8414117647058823f}, 
                                                 {0.996643137254902f, 0.8902901960784314f, 0.8404705882352941f}, 
                                                 {0.9966117647058824f, 0.8896313725490196f, 0.8395294117647059f}, 
                                                 {0.9965803921568628f, 0.8889725490196079f, 0.8385882352941176f}, 
                                                 {0.9965490196078431f, 0.888313725490196f, 0.8376470588235294f}, 
                                                 {0.9965176470588235f, 0.8876549019607843f, 0.8367058823529412f}, 
                                                 {0.996486274509804f, 0.8869960784313725f, 0.8357647058823529f}, 
                                                 {0.9964549019607843f, 0.8863372549019608f, 0.8348235294117646f}, 
                                                 {0.9964235294117647f, 0.885678431372549f, 0.8338823529411764f}, 
                                                 {0.9963921568627451f, 0.8850196078431373f, 0.8329411764705882f}, 
                                                 {0.9963607843137255f, 0.8843607843137254f, 0.832f}, 
                                                 {0.9963294117647059f, 0.8837019607843137f, 0.8310588235294117f}, 
                                                 {0.9962980392156863f, 0.8830431372549019f, 0.8301176470588235f}, 
                                                 {0.9962666666666666f, 0.8823843137254902f, 0.8291764705882353f}, 
                                                 {0.9962352941176471f, 0.8817254901960784f, 0.8282352941176471f}, 
                                                 {0.9962039215686275f, 0.8810666666666667f, 0.8272941176470587f}, 
                                                 {0.9961725490196078f, 0.8804078431372548f, 0.8263529411764705f}, 
                                                 {0.9961411764705882f, 0.8797490196078431f, 0.8254117647058823f}, 
                                                 {0.9961098039215687f, 0.8790901960784314f, 0.8244705882352941f}, 
                                                 {0.996078431372549f, 0.8784313725490196f, 0.8235294117647058f}, 
                                                 {0.9960156862745099f, 0.8772705882352941f, 0.8219921568627451f}, 
                                                 {0.9959529411764706f, 0.8761098039215686f, 0.8204549019607843f}, 
                                                 {0.9958901960784314f, 0.8749490196078431f, 0.8189176470588235f}, 
                                                 {0.9958274509803922f, 0.8737882352941176f, 0.8173803921568628f}, 
                                                 {0.995764705882353f, 0.8726274509803922f, 0.8158431372549019f}, 
                                                 {0.9957019607843137f, 0.8714666666666666f, 0.8143058823529411f}, 
                                                 {0.9956392156862746f, 0.8703058823529412f, 0.8127686274509803f}, 
                                                 {0.9955764705882353f, 0.8691450980392157f, 0.8112313725490196f}, 
                                                 {0.9955137254901961f, 0.8679843137254901f, 0.8096941176470588f}, 
                                                 {0.9954509803921568f, 0.8668235294117647f, 0.808156862745098f}, 
                                                 {0.9953882352941177f, 0.8656627450980392f, 0.8066196078431372f}, 
                                                 {0.9953254901960784f, 0.8645019607843137f, 0.8050823529411764f}, 
                                                 {0.9952627450980392f, 0.8633411764705882f, 0.8035450980392156f}, 
                                                 {0.9952f, 0.8621803921568627f, 0.8020078431372548f}, 
                                                 {0.9951372549019608f, 0.8610196078431372f, 0.800470588235294f}, 
                                                 {0.9950745098039215f, 0.8598588235294118f, 0.7989333333333333f}, 
                                                 {0.9950117647058824f, 0.8586980392156862f, 0.7973960784313725f}, 
                                                 {0.9949490196078431f, 0.8575372549019608f, 0.7958588235294117f}, 
                                                 {0.9948862745098039f, 0.8563764705882353f, 0.794321568627451f}, 
                                                 {0.9948235294117648f, 0.8552156862745098f, 0.7927843137254902f}, 
                                                 {0.9947607843137255f, 0.8540549019607843f, 0.7912470588235294f}, 
                                                 {0.9946980392156863f, 0.8528941176470588f, 0.7897098039215686f}, 
                                                 {0.9946352941176471f, 0.8517333333333333f, 0.7881725490196079f}, 
                                                 {0.9945725490196079f, 0.8505725490196079f, 0.786635294117647f}, 
                                                 {0.9945098039215686f, 0.8494117647058823f, 0.7850980392156862f}, 
                                                 {0.9944470588235295f, 0.8482509803921569f, 0.7835607843137254f}, 
                                                 {0.9943843137254902f, 0.8470901960784314f, 0.7820235294117647f}, 
                                                 {0.994321568627451f, 0.8459294117647058f, 0.7804862745098039f}, 
                                                 {0.9942588235294118f, 0.8447686274509804f, 0.7789490196078431f}, 
                                                 {0.9941960784313726f, 0.8436078431372549f, 0.7774117647058824f}, 
                                                 {0.9941333333333333f, 0.8424470588235294f, 0.7758745098039215f}, 
                                                 {0.9940705882352942f, 0.8412862745098039f, 0.7743372549019607f}, 
                                                 {0.9940078431372549f, 0.8401254901960784f, 0.7727999999999999f}, 
                                                 {0.9939450980392157f, 0.838964705882353f, 0.7712627450980392f}, 
                                                 {0.9938823529411764f, 0.8378039215686274f, 0.7697254901960784f}, 
                                                 {0.9938196078431373f, 0.8366431372549019f, 0.7681882352941176f}, 
                                                 {0.9937568627450981f, 0.8354823529411765f, 0.7666509803921568f}, 
                                                 {0.9936941176470588f, 0.834321568627451f, 0.7651137254901961f}, 
                                                 {0.9936313725490197f, 0.8331607843137254f, 0.7635764705882353f}, 
                                                 {0.9935686274509804f, 0.832f, 0.7620392156862744f}, 
                                                 {0.9935058823529412f, 0.8308392156862745f, 0.7605019607843136f}, 
                                                 {0.993443137254902f, 0.8296784313725489f, 0.7589647058823529f}, 
                                                 {0.9933803921568628f, 0.8285176470588235f, 0.7574274509803921f}, 
                                                 {0.9933176470588235f, 0.827356862745098f, 0.7558901960784313f}, 
                                                 {0.9932549019607844f, 0.8261960784313725f, 0.7543529411764706f}, 
                                                 {0.9931921568627451f, 0.825035294117647f, 0.7528156862745098f}, 
                                                 {0.9931294117647059f, 0.8238745098039215f, 0.7512784313725489f}, 
                                                 {0.9930666666666667f, 0.8227137254901961f, 0.7497411764705881f}, 
                                                 {0.9930039215686275f, 0.8215529411764706f, 0.7482039215686274f}, 
                                                 {0.9929411764705882f, 0.820392156862745f, 0.7466666666666666f}, 
                                                 {0.992878431372549f, 0.8192313725490196f, 0.7451294117647058f}, 
                                                 {0.9928156862745098f, 0.8180705882352941f, 0.743592156862745f}, 
                                                 {0.9927529411764706f, 0.8169098039215686f, 0.7420549019607843f}, 
                                                 {0.9926901960784315f, 0.8157490196078431f, 0.7405176470588235f}, 
                                                 {0.9926274509803922f, 0.8145882352941176f, 0.7389803921568627f}, 
                                                 {0.992564705882353f, 0.8134274509803922f, 0.737443137254902f}, 
                                                 {0.9925019607843137f, 0.8122666666666667f, 0.7359058823529412f}, 
                                                 {0.9924392156862746f, 0.8111058823529411f, 0.7343686274509804f}, 
                                                 {0.9923764705882353f, 0.8099450980392157f, 0.7328313725490195f}, 
                                                 {0.9923137254901961f, 0.8087843137254902f, 0.7312941176470588f}, 
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                                                 {0.6709019607843137f, 0.06447058823529413f, 0.08737254901960785f}, 
                                                 {0.6697098039215686f, 0.06418823529411766f, 0.08712156862745099f}, 
                                                 {0.6685176470588235f, 0.06390588235294117f, 0.08687058823529412f}, 
                                                 {0.6673254901960785f, 0.06362352941176472f, 0.08661960784313726f}, 
                                                 {0.6661333333333334f, 0.06334117647058823f, 0.0863686274509804f}, 
                                                 {0.6649411764705883f, 0.06305882352941176f, 0.08611764705882353f}, 
                                                 {0.6637490196078432f, 0.0627764705882353f, 0.08586666666666667f}, 
                                                 {0.6625568627450981f, 0.062494117647058825f, 0.0856156862745098f}, 
                                                 {0.661364705882353f, 0.062211764705882355f, 0.08536470588235294f}, 
                                                 {0.6601725490196079f, 0.061929411764705886f, 0.08511372549019608f}, 
                                                 {0.6589803921568628f, 0.061647058823529416f, 0.08486274509803922f}, 
                                                 {0.6577882352941177f, 0.06136470588235294f, 0.08461176470588236f}, 
                                                 {0.6565960784313726f, 0.06108235294117647f, 0.08436078431372548f}, 
                                                 {0.6554039215686275f, 0.0608f, 0.08410980392156862f}, 
                                                 {0.6542117647058824f, 0.06051764705882353f, 0.08385882352941176f}, 
                                                 {0.6530196078431373f, 0.06023529411764706f, 0.0836078431372549f}, 
                                                 {0.6518274509803922f, 0.05995294117647059f, 0.08335686274509804f}, 
                                                 {0.6506352941176471f, 0.059670588235294114f, 0.08310588235294117f}, 
                                                 {0.649443137254902f, 0.059388235294117644f, 0.08285490196078431f}, 
                                                 {0.6482509803921569f, 0.059105882352941175f, 0.08260392156862745f}, 
                                                 {0.6470588235294118f, 0.058823529411764705f, 0.08235294117647059f}, 
                                                 {0.6451137254901961f, 0.05835294117647059f, 0.08210196078431373f}, 
                                                 {0.6431686274509805f, 0.05788235294117647f, 0.08185098039215687f}, 
                                                 {0.6412235294117647f, 0.05741176470588235f, 0.08159999999999999f}, 
                                                 {0.639278431372549f, 0.05694117647058823f, 0.08134901960784313f}, 
                                                 {0.6373333333333333f, 0.05647058823529411f, 0.08109803921568627f}, 
                                                 {0.6353882352941177f, 0.055999999999999994f, 0.08084705882352941f}, 
                                                 {0.633443137254902f, 0.055529411764705876f, 0.08059607843137255f}, 
                                                 {0.6314980392156863f, 0.05505882352941176f, 0.08034509803921569f}, 
                                                 {0.6295529411764706f, 0.054588235294117646f, 0.08009411764705882f}, 
                                                 {0.6276078431372549f, 0.05411764705882353f, 0.07984313725490196f}, 
                                                 {0.6256627450980392f, 0.05364705882352941f, 0.0795921568627451f}, 
                                                 {0.6237176470588235f, 0.05317647058823529f, 0.07934117647058823f}, 
                                                 {0.6217725490196079f, 0.05270588235294117f, 0.07909019607843137f}, 
                                                 {0.6198274509803922f, 0.05223529411764705f, 0.0788392156862745f}, 
                                                 {0.6178823529411764f, 0.051764705882352935f, 0.07858823529411764f}, 
                                                 {0.6159372549019608f, 0.051294117647058816f, 0.07833725490196078f}, 
                                                 {0.6139921568627451f, 0.0508235294117647f, 0.07808627450980392f}, 
                                                 {0.6120470588235294f, 0.05035294117647058f, 0.07783529411764706f}, 
                                                 {0.6101019607843137f, 0.04988235294117646f, 0.07758431372549018f}, 
                                                 {0.6081568627450981f, 0.04941176470588234f, 0.07733333333333332f}, 
                                                 {0.6062117647058823f, 0.048941176470588224f, 0.07708235294117646f}, 
                                                 {0.6042666666666666f, 0.048470588235294106f, 0.0768313725490196f}, 
                                                 {0.602321568627451f, 0.04799999999999999f, 0.07658039215686274f}, 
                                                 {0.6003764705882353f, 0.047529411764705876f, 0.07632941176470588f}, 
                                                 {0.5984313725490196f, 0.04705882352941175f, 0.07607843137254901f}, 
                                                 {0.5964862745098038f, 0.04658823529411764f, 0.07582745098039215f}, 
                                                 {0.5945411764705882f, 0.04611764705882351f, 0.07557647058823529f}, 
                                                 {0.5925960784313725f, 0.0456470588235294f, 0.07532549019607843f}, 
                                                 {0.5906509803921568f, 0.04517647058823528f, 0.07507450980392157f}, 
                                                 {0.5887058823529412f, 0.044705882352941165f, 0.0748235294117647f}, 
                                                 {0.5867607843137255f, 0.044235294117647046f, 0.07457254901960783f}, 
                                                 {0.5848156862745097f, 0.04376470588235293f, 0.07432156862745097f}, 
                                                 {0.582870588235294f, 0.04329411764705881f, 0.07407058823529411f}, 
                                                 {0.5809254901960784f, 0.04282352941176469f, 0.07381960784313725f}, 
                                                 {0.5789803921568627f, 0.04235294117647057f, 0.07356862745098039f}, 
                                                 {0.577035294117647f, 0.041882352941176454f, 0.07331764705882352f}, 
                                                 {0.5750901960784314f, 0.041411764705882335f, 0.07306666666666665f}, 
                                                 {0.5731450980392157f, 0.04094117647058822f, 0.0728156862745098f}, 
                                                 {0.5711999999999999f, 0.040470588235294105f, 0.07256470588235293f}, 
                                                 {0.5692549019607842f, 0.03999999999999998f, 0.07231372549019607f}, 
                                                 {0.5673098039215686f, 0.03952941176470587f, 0.0720627450980392f}, 
                                                 {0.5653647058823529f, 0.03905882352941174f, 0.07181176470588234f}, 
                                                 {0.5634196078431372f, 0.03858823529411763f, 0.07156078431372548f}, 
                                                 {0.5614745098039216f, 0.038117647058823506f, 0.07130980392156862f}, 
                                                 {0.5595294117647058f, 0.037647058823529395f, 0.07105882352941176f}, 
                                                 {0.5575843137254901f, 0.03717647058823527f, 0.07080784313725488f}, 
                                                 {0.5556392156862744f, 0.03670588235294116f, 0.07055686274509802f}, 
                                                 {0.5536941176470588f, 0.03623529411764704f, 0.07030588235294116f}, 
                                                 {0.5517490196078431f, 0.03576470588235292f, 0.0700549019607843f}, 
                                                 {0.5498039215686273f, 0.0352941176470588f, 0.06980392156862744f}, 
                                                 {0.5478588235294117f, 0.034823529411764684f, 0.06955294117647058f}, 
                                                 {0.545913725490196f, 0.034352941176470565f, 0.06930196078431371f}, 
                                                 {0.5439686274509803f, 0.03388235294117645f, 0.06905098039215685f}, 
                                                 {0.5420235294117647f, 0.03341176470588233f, 0.06879999999999999f}, 
                                                 {0.540078431372549f, 0.03294117647058821f, 0.06854901960784313f}, 
                                                 {0.5381333333333332f, 0.0324705882352941f, 0.06829803921568627f}, 
                                                 {0.5361882352941176f, 0.03199999999999997f, 0.0680470588235294f}, 
                                                 {0.5342431372549019f, 0.03152941176470586f, 0.06779607843137253f}, 
                                                 {0.5322980392156862f, 0.03105882352941174f, 0.06754509803921567f}, 
                                                 {0.5303529411764705f, 0.03058823529411762f, 0.06729411764705881f}, 
                                                 {0.5284078431372549f, 0.030117647058823502f, 0.06704313725490195f}, 
                                                 {0.5264627450980391f, 0.029647058823529384f, 0.06679215686274509f}, 
                                                 {0.5245176470588234f, 0.02917647058823527f, 0.06654117647058821f}, 
                                                 {0.5225725490196078f, 0.02870588235294115f, 0.06629019607843135f}, 
                                                 {0.5206274509803921f, 0.028235294117647032f, 0.0660392156862745f}, 
                                                 {0.5186823529411764f, 0.027764705882352914f, 0.06578823529411763f}, 
                                                 {0.5167372549019607f, 0.027294117647058795f, 0.06553725490196077f}, 
                                                 {0.5147921568627449f, 0.026823529411764677f, 0.0652862745098039f}, 
                                                 {0.5128470588235293f, 0.026352941176470558f, 0.06503529411764704f}, 
                                                 {0.5109019607843136f, 0.02588235294117644f, 0.06478431372549018f}, 
                                                 {0.508956862745098f, 0.02541176470588232f, 0.06453333333333332f}, 
                                                 {0.5070117647058823f, 0.024941176470588203f, 0.06428235294117646f}, 
                                                 {0.5050666666666666f, 0.024470588235294084f, 0.06403137254901958f}, 
                                                 {0.5031215686274508f, 0.023999999999999966f, 0.06378039215686274f}, 
                                                 {0.5011764705882352f, 0.023529411764705847f, 0.06352941176470586f}, 
                                                 {0.4992313725490195f, 0.023058823529411736f, 0.063278431372549f}, 
                                                 {0.4972862745098038f, 0.022588235294117617f, 0.06302745098039214f}, 
                                                 {0.4953411764705881f, 0.0221176470588235f, 0.06277647058823528f}, 
                                                 {0.49339607843137245f, 0.02164705882352938f, 0.06252549019607842f}, 
                                                 {0.49145098039215673f, 0.021176470588235262f, 0.062274509803921546f}, 
                                                 {0.489505882352941f, 0.020705882352941143f, 0.062023529411764686f}, 
                                                 {0.4875607843137254f, 0.020235294117647025f, 0.061772549019607825f}, 
                                                 {0.4856156862745097f, 0.019764705882352906f, 0.061521568627450965f}, 
                                                 {0.48367058823529396f, 0.019294117647058788f, 0.0612705882352941f}, 
                                                 {0.4817254901960785f, 0.018823529411764725f, 0.06101960784313726f}, 
                                                 {0.47978039215686286f, 0.018352941176470607f, 0.0607686274509804f}, 
                                                 {0.47783529411764714f, 0.017882352941176488f, 0.06051764705882354f}, 
                                                 {0.4758901960784314f, 0.01741176470588237f, 0.06026666666666668f}, 
                                                 {0.47394509803921575f, 0.01694117647058825f, 0.060015686274509816f}, 
                                                 {0.4720000000000001f, 0.016470588235294133f, 0.05976470588235295f}, 
                                                 {0.47005490196078437f, 0.016000000000000014f, 0.05951372549019608f}, 
                                                 {0.4681098039215687f, 0.015529411764705896f, 0.05926274509803922f}, 
                                                 {0.46616470588235304f, 0.015058823529411777f, 0.05901176470588236f}, 
                                                 {0.4642196078431373f, 0.014588235294117659f, 0.0587607843137255f}, 
                                                 {0.4622745098039216f, 0.01411764705882354f, 0.05850980392156863f}, 
                                                 {0.460329411764706f, 0.013647058823529422f, 0.058258823529411766f}, 
                                                 {0.45838431372549027f, 0.013176470588235303f, 0.058007843137254905f}, 
                                                 {0.45643921568627455f, 0.012705882352941185f, 0.057756862745098045f}, 
                                                 {0.4544941176470589f, 0.012235294117647066f, 0.057505882352941184f}, 
                                                 {0.4525490196078432f, 0.011764705882352955f, 0.05725490196078432f}, 
                                                 {0.4506039215686275f, 0.011294117647058836f, 0.05700392156862746f}, 
                                                 {0.4486588235294118f, 0.010823529411764718f, 0.05675294117647059f}, 
                                                 {0.44671372549019617f, 0.0103529411764706f, 0.05650196078431373f}, 
                                                 {0.44476862745098045f, 0.009882352941176481f, 0.05625098039215687f}, 
                                                 {0.4428235294117647f, 0.009411764705882363f, 0.05600000000000001f}, 
                                                 {0.44087843137254906f, 0.008941176470588244f, 0.05574901960784314f}, 
                                                 {0.4389333333333334f, 0.008470588235294126f, 0.05549803921568627f}, 
                                                 {0.4369882352941177f, 0.008000000000000007f, 0.05524705882352941f}, 
                                                 {0.435043137254902f, 0.007529411764705889f, 0.05499607843137255f}, 
                                                 {0.43309803921568635f, 0.00705882352941177f, 0.05474509803921569f}, 
                                                 {0.4311529411764706f, 0.006588235294117652f, 0.054494117647058825f}, 
                                                 {0.4292078431372549f, 0.006117647058823533f, 0.054243137254901964f}, 
                                                 {0.42726274509803924f, 0.005647058823529415f, 0.0539921568627451f}, 
                                                 {0.4253176470588236f, 0.005176470588235296f, 0.05374117647058824f}, 
                                                 {0.42337254901960786f, 0.004705882352941178f, 0.053490196078431376f}, 
                                                 {0.4214274509803922f, 0.004235294117647059f, 0.053239215686274516f}, 
                                                 {0.41948235294117653f, 0.003764705882352948f, 0.05298823529411765f}, 
                                                 {0.4175372549019608f, 0.0032941176470588293f, 0.05273725490196078f}, 
                                                 {0.4155921568627451f, 0.002823529411764711f, 0.05248627450980392f}, 
                                                 {0.4136470588235294f, 0.0023529411764705924f, 0.05223529411764706f}, 
                                                 {0.41170196078431376f, 0.001882352941176474f, 0.0519843137254902f}, 
                                                 {0.40975686274509804f, 0.0014117647058823554f, 0.05173333333333333f}, 
                                                 {0.4078117647058824f, 0.000941176470588237f, 0.051482352941176465f}, 
                                                 {0.4058666666666667f, 0.0004705882352941185f, 0.051231372549019605f}, 
                                                 {0.403921568627451f, 0.f, 0.050980392156862744f}};
 
/*(Table[Blend[
  Map[(RGBColor @@ # &), ({{255, 245, 240}, {254, 224, 210}, {252, 
  187, 161}, {252, 146, 114}, {251, 106, 74}}/255), {1}], 
  x/1000], {x, 0, 1000, 1.}] /. RGBColor -> List) >> /tmp/1
*/
const float palette_sequential_singlehue_red_lighter[1001][3]={{1.f, 0.9607843137254902f, 0.9411764705882353f}, 
                                                         {0.9999843137254902f, 0.9604549019607843f, 0.9407058823529412f}, 
                                                         {0.9999686274509804f, 0.9601254901960785f, 0.9402352941176471f}, 
                                                         {0.9999529411764706f, 0.9597960784313726f, 0.939764705882353f}, 
                                                         {0.9999372549019608f, 0.9594666666666667f, 0.9392941176470588f}, 
                                                         {0.999921568627451f, 0.9591372549019608f, 0.9388235294117647f}, 
                                                         {0.9999058823529412f, 0.958807843137255f, 0.9383529411764706f}, 
                                                         {0.9998901960784313f, 0.9584784313725491f, 0.9378823529411765f}, 
                                                         {0.9998745098039216f, 0.9581490196078432f, 0.9374117647058824f}, 
                                                         {0.9998588235294118f, 0.9578196078431372f, 0.9369411764705882f}, 
                                                         {0.9998431372549019f, 0.9574901960784314f, 0.936470588235294f}, 
                                                         {0.9998274509803922f, 0.9571607843137255f, 0.9359999999999999f}, 
                                                         {0.9998117647058824f, 0.9568313725490196f, 0.9355294117647058f}, 
                                                         {0.9997960784313725f, 0.9565019607843137f, 0.9350588235294117f}, 
                                                         {0.9997803921568628f, 0.9561725490196079f, 0.9345882352941176f}, 
                                                         {0.9997647058823529f, 0.955843137254902f, 0.9341176470588235f}, 
                                                         {0.9997490196078431f, 0.9555137254901961f, 0.9336470588235294f}, 
                                                         {0.9997333333333334f, 0.9551843137254902f, 0.9331764705882353f}, 
                                                         {0.9997176470588235f, 0.9548549019607844f, 0.9327058823529412f}, 
                                                         {0.9997019607843137f, 0.9545254901960785f, 0.932235294117647f}, 
                                                         {0.999686274509804f, 0.9541960784313726f, 0.9317647058823529f}, 
                                                         {0.9996705882352941f, 0.9538666666666666f, 0.9312941176470588f}, 
                                                         {0.9996549019607843f, 0.9535372549019608f, 0.9308235294117647f}, 
                                                         {0.9996392156862746f, 0.9532078431372549f, 0.9303529411764706f}, 
                                                         {0.9996235294117647f, 0.952878431372549f, 0.9298823529411765f}, 
                                                         {0.9996078431372549f, 0.9525490196078432f, 0.9294117647058824f}, 
                                                         {0.999592156862745f, 0.9522196078431373f, 0.9289411764705883f}, 
                                                         {0.9995764705882353f, 0.9518901960784314f, 0.928470588235294f}, 
                                                         {0.9995607843137255f, 0.9515607843137255f, 0.9279999999999999f}, 
                                                         {0.9995450980392157f, 0.9512313725490197f, 0.9275294117647058f}, 
                                                         {0.9995294117647059f, 0.9509019607843138f, 0.9270588235294117f}, 
                                                         {0.9995137254901961f, 0.9505725490196079f, 0.9265882352941176f}, 
                                                         {0.9994980392156863f, 0.950243137254902f, 0.9261176470588235f}, 
                                                         {0.9994823529411765f, 0.9499137254901961f, 0.9256470588235294f}, 
                                                         {0.9994666666666666f, 0.9495843137254902f, 0.9251764705882353f}, 
                                                         {0.9994509803921569f, 0.9492549019607843f, 0.9247058823529412f}, 
                                                         {0.9994352941176471f, 0.9489254901960784f, 0.924235294117647f}, 
                                                         {0.9994196078431372f, 0.9485960784313726f, 0.9237647058823529f}, 
                                                         {0.9994039215686275f, 0.9482666666666667f, 0.9232941176470588f}, 
                                                         {0.9993882352941177f, 0.9479372549019608f, 0.9228235294117647f}, 
                                                         {0.9993725490196078f, 0.9476078431372549f, 0.9223529411764706f}, 
                                                         {0.999356862745098f, 0.9472784313725491f, 0.9218823529411765f}, 
                                                         {0.9993411764705883f, 0.9469490196078432f, 0.9214117647058824f}, 
                                                         {0.9993254901960784f, 0.9466196078431373f, 0.9209411764705883f}, 
                                                         {0.9993098039215687f, 0.9462901960784313f, 0.9204705882352942f}, 
                                                         {0.9992941176470588f, 0.9459607843137255f, 0.9199999999999999f}, 
                                                         {0.999278431372549f, 0.9456313725490196f, 0.9195294117647058f}, 
                                                         {0.9992627450980393f, 0.9453019607843137f, 0.9190588235294117f}, 
                                                         {0.9992470588235294f, 0.9449725490196078f, 0.9185882352941176f}, 
                                                         {0.9992313725490196f, 0.944643137254902f, 0.9181176470588235f}, 
                                                         {0.9992156862745099f, 0.9443137254901961f, 0.9176470588235294f}, 
                                                         {0.9992f, 0.9439843137254902f, 0.9171764705882353f}, 
                                                         {0.9991843137254902f, 0.9436549019607843f, 0.9167058823529411f}, 
                                                         {0.9991686274509803f, 0.9433254901960785f, 0.916235294117647f}, 
                                                         {0.9991529411764706f, 0.9429960784313726f, 0.9157647058823529f}, 
                                                         {0.9991372549019608f, 0.9426666666666667f, 0.9152941176470588f}, 
                                                         {0.9991215686274509f, 0.9423372549019609f, 0.9148235294117647f}, 
                                                         {0.9991058823529412f, 0.9420078431372549f, 0.9143529411764706f}, 
                                                         {0.9990901960784314f, 0.941678431372549f, 0.9138823529411765f}, 
                                                         {0.9990745098039215f, 0.9413490196078431f, 0.9134117647058824f}, 
                                                         {0.9990588235294118f, 0.9410196078431373f, 0.9129411764705883f}, 
                                                         {0.999043137254902f, 0.9406901960784314f, 0.9124705882352941f}, 
                                                         {0.9990274509803921f, 0.9403607843137255f, 0.912f}, 
                                                         {0.9990117647058824f, 0.9400313725490196f, 0.9115294117647058f}, 
                                                         {0.9989960784313725f, 0.9397019607843138f, 0.9110588235294117f}, 
                                                         {0.9989803921568627f, 0.9393725490196079f, 0.9105882352941176f}, 
                                                         {0.998964705882353f, 0.939043137254902f, 0.9101176470588235f}, 
                                                         {0.9989490196078431f, 0.938713725490196f, 0.9096470588235294f}, 
                                                         {0.9989333333333333f, 0.9383843137254902f, 0.9091764705882353f}, 
                                                         {0.9989176470588236f, 0.9380549019607843f, 0.9087058823529411f}, 
                                                         {0.9989019607843137f, 0.9377254901960784f, 0.908235294117647f}, 
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                                                         {0.9852235294117647f, 0.452078431372549f, 0.3265882352941176f}, 
                                                         {0.9852078431372548f, 0.4514509803921568f, 0.3259607843137255f}, 
                                                         {0.9851921568627451f, 0.4508235294117647f, 0.3253333333333333f}, 
                                                         {0.9851764705882352f, 0.45019607843137255f, 0.3247058823529412f}, 
                                                         {0.9851607843137254f, 0.44956862745098036f, 0.324078431372549f}, 
                                                         {0.9851450980392157f, 0.4489411764705882f, 0.32345098039215686f}, 
                                                         {0.9851294117647058f, 0.44831372549019605f, 0.3228235294117647f}, 
                                                         {0.985113725490196f, 0.4476862745098039f, 0.32219607843137255f}, 
                                                         {0.9850980392156863f, 0.44705882352941173f, 0.32156862745098036f}, 
                                                         {0.9850823529411764f, 0.44643137254901955f, 0.32094117647058823f}, 
                                                         {0.9850666666666666f, 0.4458039215686274f, 0.3203137254901961f}, 
                                                         {0.9850509803921568f, 0.4451764705882353f, 0.3196862745098039f}, 
                                                         {0.985035294117647f, 0.4445490196078431f, 0.31905882352941173f}, 
                                                         {0.9850196078431372f, 0.4439215686274509f, 0.3184313725490196f}, 
                                                         {0.9850039215686274f, 0.4432941176470588f, 0.31780392156862747f}, 
                                                         {0.9849882352941176f, 0.44266666666666665f, 0.3171764705882353f}, 
                                                         {0.9849725490196078f, 0.44203921568627447f, 0.3165490196078431f}, 
                                                         {0.984956862745098f, 0.4414117647058823f, 0.31592156862745097f}, 
                                                         {0.9849411764705882f, 0.4407843137254902f, 0.31529411764705884f}, 
                                                         {0.9849254901960784f, 0.4401568627450981f, 0.3146666666666667f}, 
                                                         {0.9849098039215686f, 0.43952941176470595f, 0.3140392156862746f}, 
                                                         {0.9848941176470588f, 0.43890196078431376f, 0.3134117647058824f}, 
                                                         {0.9848784313725489f, 0.4382745098039216f, 0.3127843137254902f}, 
                                                         {0.9848627450980392f, 0.43764705882352944f, 0.3121568627450981f}, 
                                                         {0.9848470588235294f, 0.4370196078431373f, 0.31152941176470594f}, 
                                                         {0.9848313725490195f, 0.43639215686274513f, 0.31090196078431376f}, 
                                                         {0.9848156862745098f, 0.43576470588235294f, 0.31027450980392157f}, 
                                                         {0.9848f, 0.4351372549019608f, 0.30964705882352944f}, 
                                                         {0.9847843137254901f, 0.4345098039215687f, 0.3090196078431373f}, 
                                                         {0.9847686274509804f, 0.4338823529411765f, 0.3083921568627451f}, 
                                                         {0.9847529411764705f, 0.4332549019607843f, 0.30776470588235294f}, 
                                                         {0.9847372549019607f, 0.4326274509803922f, 0.3071372549019608f}, 
                                                         {0.984721568627451f, 0.43200000000000005f, 0.3065098039215687f}, 
                                                         {0.9847058823529411f, 0.43137254901960786f, 0.3058823529411765f}, 
                                                         {0.9846901960784313f, 0.4307450980392157f, 0.30525490196078436f}, 
                                                         {0.9846745098039216f, 0.43011764705882355f, 0.30462745098039223f}, 
                                                         {0.9846588235294117f, 0.4294901960784314f, 0.30400000000000005f}, 
                                                         {0.9846431372549019f, 0.42886274509803923f, 0.30337254901960786f}, 
                                                         {0.9846274509803921f, 0.42823529411764705f, 0.30274509803921573f}, 
                                                         {0.9846117647058823f, 0.4276078431372549f, 0.3021176470588236f}, 
                                                         {0.9845960784313725f, 0.4269803921568628f, 0.3014901960784314f}, 
                                                         {0.9845803921568627f, 0.4263529411764706f, 0.30086274509803923f}, 
                                                         {0.9845647058823529f, 0.42572549019607847f, 0.3002352941176471f}, 
                                                         {0.9845490196078431f, 0.42509803921568634f, 0.29960784313725497f}, 
                                                         {0.9845333333333333f, 0.42447058823529416f, 0.2989803921568628f}, 
                                                         {0.9845176470588235f, 0.42384313725490197f, 0.2983529411764706f}, 
                                                         {0.9845019607843136f, 0.42321568627450984f, 0.29772549019607847f}, 
                                                         {0.9844862745098039f, 0.4225882352941177f, 0.29709803921568634f}, 
                                                         {0.9844705882352941f, 0.4219607843137255f, 0.29647058823529415f}, 
                                                         {0.9844549019607842f, 0.42133333333333334f, 0.29584313725490197f}, 
                                                         {0.9844392156862745f, 0.4207058823529412f, 0.29521568627450984f}, 
                                                         {0.9844235294117647f, 0.4200784313725491f, 0.2945882352941177f}, 
                                                         {0.9844078431372548f, 0.4194509803921569f, 0.2939607843137255f}, 
                                                         {0.9843921568627451f, 0.4188235294117647f, 0.29333333333333333f}, 
                                                         {0.9843764705882352f, 0.4181960784313726f, 0.2927058823529412f}, 
                                                         {0.9843607843137254f, 0.41756862745098045f, 0.2920784313725491f}, 
                                                         {0.9843450980392157f, 0.41694117647058826f, 0.2914509803921569f}, 
                                                         {0.9843294117647058f, 0.4163137254901961f, 0.2908235294117647f}, 
                                                         {0.984313725490196f, 0.41568627450980394f, 0.2901960784313726f}};
 
/*
  Map[List @@ # &, 
  Table[Blend[
  Map[(RGBColor@(#/255.)) &, {{255, 114, 0}, {245, 119, 23}, {65, 
  179, 220}, {236, 0, 140}, {6, 122, 180}, {12, 37, 119}, {129, 
  1, 26}, {198, 212, 61}, {110, 187, 31}, {179, 10, 60}, {128, 
  128, 128}}], i/1001], {i, 0, 1000}]] >> /tmp/111
*/
 
const float palette_adam_blend[1001][3]={{1.f, 0.44705882352941173f, 0.f}, 
                                   {0.9996082349023525f, 0.4472547060782355f,   0.0009010597245891363f}, 
                                   {0.9992164698047051f, 0.44745058862705916f,   0.0018021194491782725f}, 
                                   {0.9988247047070576f, 0.4476464711758829f,   0.002703179173767409f}, 
                                   {0.9984329396094102f, 0.44784235372470665f,   0.003604238898356545f}, 
                                   {0.9980411745117628f, 0.44803823627353034f,   0.004505298622945682f}, 
                                   {0.9976494094141153f, 0.4482341188223541f,   0.005406358347534818f}, 
                                   {0.9972576443164678f, 0.44843000137117783f,   0.006307418072123954f}, 
                                   {0.9968658792188204f, 0.4486258839200015f,   0.00720847779671309f}, 
                                   {0.9964741141211729f, 0.44882176646882527f,   0.008109537521302227f}, 
                                   {0.9960823490235255f, 0.449017649017649f,   0.009010597245891363f}, 
                                   {0.9956905839258781f, 0.4492135315664727f,   0.0099116569704805f}, 
                                   {0.9952988188282306f, 0.44940941411529645f,   0.010812716695069636f}, 
                                   {0.9949070537305832f, 0.4496052966641202f,   0.011713776419658772f}, 
                                   {0.9945152886329357f, 0.4498011792129439f,   0.012614836144247908f}, 
                                   {0.9941235235352882f, 0.4499970617617676f,   0.013515895868837044f}, 
                                   {0.9937317584376408f, 0.4501929443105913f,   0.01441695559342618f}, 
                                   {0.9933399933399933f, 0.45038882685941506f,   0.015318015318015318f}, 
                                   {0.9929482282423459f, 0.4505847094082388f,   0.016219075042604454f}, 
                                   {0.9925564631446985f, 0.4507805919570625f,   0.01712013476719359f}, 
                                   {0.992164698047051f, 0.45097647450588624f,   0.018021194491782726f}, 
                                   {0.9917729329494035f, 0.45117235705471f,   0.01892225421637186f}, 
                                   {0.9913811678517561f, 0.45136823960353367f,   0.019823313940961f}, 
                                   {0.9909894027541086f, 0.4515641221523574f,   0.020724373665550133f}, 
                                   {0.9905976376564611f, 0.45176000470118116f,   0.02162543339013927f}, 
                                   {0.9902058725588138f, 0.45195588725000485f,   0.02252649311472841f}, 
                                   {0.9898141074611663f, 0.4521517697988286f,   0.023427552839317543f}, 
                                   {0.9894223423635189f, 0.45234765234765234f,   0.024328612563906678f}, 
                                   {0.9890305772658714f, 0.45254353489647603f,   0.025229672288495816f}, 
                                   {0.9886388121682239f, 0.4527394174452998f,   0.026130732013084954f}, 
                                   {0.9882470470705765f, 0.4529352999941235f,   0.027031791737674088f}, 
                                   {0.987855281972929f, 0.4531311825429472f,   0.027932851462263222f}, 
                                   {0.9874635168752816f, 0.45332706509177095f,   0.02883391118685236f}, 
                                   {0.9870717517776342f, 0.4535229476405947f,   0.029734970911441498f}, 
                                   {0.9866799866799867f, 0.4537188301894184f,   0.030636030636030636f}, 
                                   {0.9862882215823392f, 0.45391471273824213f,   0.031537090360619774f}, 
                                   {0.9858964564846918f, 0.4541105952870659f,   0.03243815008520891f}, 
                                   {0.9855046913870443f, 0.45430647783588957f,   0.033339209809798036f}, 
                                   {0.9851129262893968f, 0.4545023603847133f,   0.03424026953438718f}, 
                                   {0.9847211611917495f, 0.45469824293353706f,   0.03514132925897631f}, 
                                   {0.984329396094102f, 0.45489412548236074f,   0.03604238898356545f}, 
                                   {0.9839376309964545f, 0.4550900080311845f,   0.03694344870815459f}, 
                                   {0.9835458658988071f, 0.45528589058000823f,   0.03784450843274372f}, 
                                   {0.9831541008011596f, 0.4554817731288319f,   0.03874556815733286f}, 
                                   {0.9827623357035122f, 0.45567765567765567f,   0.039646627881922f}, 
                                   {0.9823705706058647f, 0.4558735382264794f,   0.04054768760651113f}, 
                                   {0.9819788055082173f, 0.4560694207753031f,   0.041448747331100266f}, 
                                   {0.9815870404105699f, 0.45626530332412685f,   0.0423498070556894f}, 
                                   {0.9811952753129224f, 0.4564611858729506f,   0.04325086678027854f}, 
                                   {0.9808035102152749f, 0.4566570684217743f,   0.044151926504867677f}, 
                                   {0.9804117451176275f, 0.456852950970598f,   0.04505298622945682f}, 
                                   {0.98001998001998f, 0.4570488335194217f,   0.04595404595404595f}, 
                                   {0.9796282149223325f, 0.45724471606824546f,   0.04685510567863509f}, 
                                   {0.9792364498246852f, 0.4574405986170692f,   0.04775616540322422f}, 
                                   {0.9788446847270377f, 0.4576364811658929f,   0.048657225127813356f}, 
                                   {0.9784529196293902f, 0.45783236371471664f,   0.04955828485240249f}, 
                                   {0.9780611545317428f, 0.4580282462635404f,   0.05045934457699163f}, 
                                   {0.9776693894340953f, 0.4582241288123641f,   0.051360404301580766f}, 
                                   {0.9772776243364478f, 0.4584200113611878f,   0.05226146402616991f}, 
                                   {0.9768858592388004f, 0.45861589391001156f,   0.05316252375075904f}, 
                                   {0.976494094141153f, 0.45881177645883525f,   0.054063583475348176f}, 
                                   {0.9761023290435056f, 0.459007659007659f,   0.05496464319993731f}, 
                                   {0.9757105639458581f, 0.45920354155648274f,   0.055865702924526445f}, 
                                   {0.9753187988482106f, 0.45939942410530643f,   0.05676676264911559f}, 
                                   {0.9749270337505632f, 0.4595953066541302f,   0.05766782237370472f}, 
                                   {0.9745352686529157f, 0.4597911892029539f,   0.05856888209829385f}, 
                                   {0.9741435035552682f, 0.4599870717517776f,   0.059469941822882996f}, 
                                   {0.9737517384576209f, 0.46018295430060135f,   0.060371001547472124f}, 
                                   {0.9733599733599734f, 0.4603788368494251f,   0.06127206127206127f}, 
                                   {0.9729682082623259f, 0.4605747193982488f,   0.0621731209966504f}, 
                                   {0.9725764431646785f, 0.46077060194707253f,   0.06307418072123955f}, 
                                   {0.972184678067031f, 0.4609664844958963f,   0.06397524044582867f}, 
                                   {0.9717929129693835f, 0.46116236704471997f,   0.06487630017041782f}, 
                                   {0.9714011478717361f, 0.4613582495935437f,   0.06577735989500695f}, 
                                   {0.9710093827740887f, 0.46155413214236746f,   0.06667841961959607f}, 
                                   {0.9706176176764412f, 0.46175001469119115f,   0.06757947934418522f}, 
                                   {0.9702258525787938f, 0.4619458972400149f,   0.06848053906877435f}, 
                                   {0.9698340874811463f, 0.46214177978883864f,   0.0693815987933635f}, 
                                   {0.9694423223834989f, 0.4623376623376623f,   0.07028265851795262f}, 
                                   {0.9690505572858514f, 0.46253354488648607f,   0.07118371824254177f}, 
                                   {0.9686587921882039f, 0.46272942743530976f,   0.0720847779671309f}, 
                                   {0.9682670270905566f, 0.4629253099841335f,   0.07298583769172003f}, 
                                   {0.9678752619929091f, 0.46312119253295725f,   0.07388689741630917f}, 
                                   {0.9674834968952616f, 0.46331707508178094f,   0.07478795714089831f}, 
                                   {0.9670917317976142f, 0.4635129576306047f,   0.07568901686548744f}, 
                                   {0.9666999666999667f, 0.4637088401794284f,   0.07659007659007658f}, 
                                   {0.9663082016023192f, 0.4639047227282521f,   0.07749113631466573f}, 
                                   {0.9659164365046718f, 0.46410060527707586f,   0.07839219603925485f}, 
                                   {0.9655246714070244f, 0.4642964878258996f,   0.079293255763844f}, 
                                   {0.965132906309377f, 0.4644923703747233f,   0.08019431548843313f}, 
                                   {0.9647411412117295f, 0.46468825292354704f,   0.08109537521302226f}, 
                                   {0.964349376114082f, 0.4648841354723708f,   0.0819964349376114f}, 
                                   {0.9639576110164346f, 0.4650800180211945f,   0.08289749466220053f}, 
                                   {0.9635658459187871f, 0.4652759005700182f,   0.08379855438678968f}, 
                                   {0.9631740808211396f, 0.46547178311884196f,   0.0846996141113788f}, 
                                   {0.9627823157234923f, 0.46566766566766565f,   0.08560067383596795f}, 
                                   {0.9623905506258448f, 0.4658635482164894f,   0.08650173356055708f}, 
                                   {0.9619987855281973f, 0.46605943076531314f,   0.0874027932851462f}, 
                                   {0.9616070204305499f, 0.46625531331413683f,   0.08830385300973535f}, 
                                   {0.9612152553329024f, 0.4664511958629606f,   0.08920491273432449f}, 
                                   {0.9608234902352549f, 0.4666470784117843f,   0.09010597245891364f}, 
                                   {0.9544377191436015f, 0.4687821981939629f,   0.09714207361266185f}, 
                                   {0.9473859473859474f, 0.4711327887798476f,   0.10485984603631662f}, 
                                   {0.9403341756282934f, 0.4734833793657323f,   0.1125776184599714f}, 
                                   {0.9332824038706392f, 0.47583396995161703f,   0.12029539088362617f}, 
                                   {0.9262306321129851f, 0.4781845605375017f,   0.12801316330728096f}, 
                                   {0.919178860355331f, 0.4805351511233864f,   0.13573093573093573f}, 
                                   {0.9121270885976769f, 0.4828857417092711f,   0.14344870815459052f}, 
                                   {0.9050753168400227f, 0.48523633229515584f,   0.15116648057824528f}, 
                                   {0.8980235450823686f, 0.48758692288104055f,   0.15888425300190007f}, 
                                   {0.8909717733247146f, 0.4899375134669252f,   0.16660202542555483f}, 
                                   {0.8839200015670604f, 0.4922881040528099f,   0.17431979784920962f}, 
                                   {0.8768682298094064f, 0.49463869463869464f,   0.18203757027286438f}, 
                                   {0.8698164580517522f, 0.49698928522457936f,   0.18975534269651917f}, 
                                   {0.8627646862940981f, 0.499339875810464f,   0.19747311512017396f}, 
                                   {0.8557129145364439f, 0.5016904663963487f,   0.20519088754382872f}, 
                                   {0.8486611427787899f, 0.5040410569822334f,   0.2129086599674835f}, 
                                   {0.8416093710211358f, 0.5063916475681182f,   0.22062643239113827f}, 
                                   {0.8345575992634817f, 0.5087422381540029f,   0.22834420481479306f}, 
                                   {0.8275058275058276f, 0.5110928287398876f,   0.23606197723844785f}, 
                                   {0.8204540557481734f, 0.5134434193257723f,   0.24377974966210264f}, 
                                   {0.8134022839905193f, 0.5157940099116569f,   0.2514975220857574f}, 
                                   {0.8063505122328652f, 0.5181446004975416f,   0.25921529450941216f}, 
                                   {0.7992987404752111f, 0.5204951910834263f,   0.26693306693306695f}, 
                                   {0.792246968717557f, 0.5228457816693111f,   0.27465083935672174f}, 
                                   {0.7851951969599029f, 0.5251963722551958f,   0.2823686117803765f}, 
                                   {0.7781434252022488f, 0.5275469628410805f,   0.29008638420403127f}, 
                                   {0.7710916534445946f, 0.5298975534269652f,   0.29780415662768606f}, 
                                   {0.7640398816869405f, 0.5322481440128499f,   0.30552192905134085f}, 
                                   {0.7569881099292864f, 0.5345987345987346f,   0.3132397014749956f}, 
                                   {0.7499363381716323f, 0.5369493251846192f,   0.32095747389865037f}, 
                                   {0.7428845664139783f, 0.539299915770504f,   0.32867524632230516f}, 
                                   {0.7358327946563241f, 0.5416505063563887f,   0.3363930187459599f}, 
                                   {0.72878102289867f, 0.5440010969422734f,   0.3441107911696147f}, 
                                   {0.7217292511410158f, 0.5463516875281581f,   0.35182856359326947f}, 
                                   {0.7146774793833618f, 0.5487022781140428f,   0.35954633601692426f}, 
                                   {0.7076257076257076f, 0.5510528686999275f,   0.36726410844057905f}, 
                                   {0.7005739358680536f, 0.5534034592858122f,   0.37498188086423384f}, 
                                   {0.6935221641103995f, 0.5557540498716969f,   0.38269965328788863f}, 
                                   {0.6864703923527453f, 0.5581046404575816f,   0.39041742571154336f}, 
                                   {0.6794186205950912f, 0.5604552310434663f,   0.39813519813519815f}, 
                                   {0.6723668488374371f, 0.562805821629351f,   0.40585297055885294f}, 
                                   {0.665315077079783f, 0.5651564122152357f,   0.4135707429825077f}, 
                                   {0.658263305322129f, 0.5675070028011204f,   0.42128851540616247f}, 
                                   {0.6512115335644748f, 0.5698575933870051f,   0.42900628782981726f}, 
                                   {0.6441597618068207f, 0.5722081839728899f,   0.43672406025347205f}, 
                                   {0.6371079900491665f, 0.5745587745587746f,   0.44444183267712684f}, 
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                                   {0.5479148302677714f, 0.39563573681220743f,   0.44068872304166423f}, 
                                   {0.5459168282697694f, 0.40025856496444734f,   0.44335272570566686f}, 
                                   {0.5439188262717675f, 0.40488139311668714f,   0.44601672836966955f}, 
                                   {0.5419208242737654f, 0.40950422126892716f,   0.44868073103367223f}, 
                                   {0.5399228222757635f, 0.41412704942116696f,   0.45134473369767486f}, 
                                   {0.5379248202777615f, 0.418749877573407f,   0.45400873636167755f}, 
                                   {0.5359268182797594f, 0.4233727057256469f,   0.4566727390256802f}, 
                                   {0.5339288162817575f, 0.4279955338778868f,   0.45933674168968286f}, 
                                   {0.5319308142837554f, 0.4326183620301267f,   0.46200074435368554f}, 
                                   {0.5299328122857534f, 0.4372411901823666f,   0.4646647470176882f}, 
                                   {0.5279348102877515f, 0.44186401833460653f,   0.46732874968169086f}, 
                                   {0.5259368082897494f, 0.44648684648684644f,   0.4699927523456935f}, 
                                   {0.5239388062917474f, 0.45110967463908636f,   0.4726567550096962f}, 
                                   {0.5219408042937455f, 0.45573250279132627f,   0.47532075767369886f}, 
                                   {0.5199428022957434f, 0.4603553309435662f,   0.47798476033770154f}, 
                                   {0.5179448002977415f, 0.4649781590958061f,   0.48064876300170417f}, 
                                   {0.5159467982997394f, 0.4696009872480461f,   0.48331276566570686f}, 
                                   {0.5139487963017375f, 0.4742238154002859f,   0.4859767683297095f}, 
                                   {0.5119507943037355f, 0.4788466435525258f,   0.4886407709937121f}, 
                                   {0.5099527923057334f, 0.48346947170476584f,   0.4913047736577148f}, 
                                   {0.5079547903077315f, 0.48809229985700564f,   0.4939687763217175f}, 
                                   {0.5059567883097295f, 0.49271512800924566f,   0.49663277898572017f}, 
                                   {0.5039587863117275f, 0.4973379561614856f,  0.4992967816497228f}};
 
const float palette_adam[11][3]={{1.f, 0.44705882352941173f, 0.f}, 
                           {0.9607843137254902f, 0.4666666666666667f,  0.09019607843137255f}, 
                           {0.2549019607843137f, 0.7019607843137254f, 0.8627450980392157f}, 
                           {0.9254901960784314f, 0.f, 0.5490196078431373f}, 
                           {0.023529411764705882f, 0.4784313725490196f, 0.7058823529411764f}, 
                           {0.047058823529411764f, 0.14509803921568626f, 0.4666666666666667f}, 
                           {0.5058823529411764f, 0.00392156862745098f, 0.10196078431372549f}, 
                           {0.7764705882352941f, 0.8313725490196078f, 0.2392156862745098f}, 
                           {0.43137254901960786f, 0.7333333333333333f, 0.12156862745098039f}, 
                           {0.7019607843137254f, 0.0392156862745098f, 0.23529411764705882f}, 
                           {0.5019607843137255f, 0.5019607843137255f, 0.5019607843137255f}};