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quicktex/src/tables.cpp

1308 lines
179 KiB
C++

// rgbcx.h v1.12
// High-performance scalar BC1-5 encoders. Public Domain or MIT license (you choose - see below), written by Richard Geldreich 2020 <richgel99@gmail.com>.
#include "tables.h"
// All total orderings for 16 pixels 2-bit selectors.
// BC1 selector order 0, 2, 3, 1 (i.e. the selectors are reordered into linear order).
const uint8_t g_unique_total_orders4[NUM_UNIQUE_TOTAL_ORDERINGS4][4] = {
{0, 8, 2, 6}, {4, 3, 9, 0}, {4, 8, 1, 3}, {12, 0, 3, 1}, {11, 3, 2, 0}, {6, 4, 6, 0}, {7, 5, 0, 4}, {6, 0, 8, 2}, {1, 0, 0, 15}, {3, 0, 8, 5},
{1, 1, 13, 1}, {13, 1, 2, 0}, {0, 14, 1, 1}, {0, 15, 1, 0}, {0, 13, 0, 3}, {16, 0, 0, 0}, {4, 3, 4, 5}, {8, 6, 0, 2}, {0, 10, 0, 6}, {10, 0, 4, 2},
{7, 2, 1, 6}, {4, 7, 5, 0}, {1, 4, 7, 4}, {0, 14, 2, 0}, {2, 7, 2, 5}, {9, 0, 5, 2}, {9, 2, 2, 3}, {10, 0, 5, 1}, {2, 3, 7, 4}, {4, 9, 0, 3},
{1, 5, 0, 10}, {1, 1, 6, 8}, {6, 6, 4, 0}, {11, 5, 0, 0}, {11, 2, 0, 3}, {4, 0, 10, 2}, {2, 3, 10, 1}, {1, 13, 1, 1}, {0, 14, 0, 2}, {2, 3, 3, 8},
{12, 3, 1, 0}, {14, 0, 0, 2}, {9, 1, 3, 3}, {6, 4, 0, 6}, {1, 1, 5, 9}, {5, 9, 0, 2}, {2, 10, 1, 3}, {12, 0, 0, 4}, {4, 6, 6, 0}, {0, 6, 4, 6},
{3, 7, 4, 2}, {0, 13, 3, 0}, {3, 10, 0, 3}, {10, 2, 1, 3}, {1, 12, 1, 2}, {2, 0, 13, 1}, {11, 0, 5, 0}, {12, 1, 3, 0}, {6, 4, 5, 1}, {10, 4, 2, 0},
{3, 6, 1, 6}, {7, 3, 6, 0}, {10, 4, 0, 2}, {10, 0, 2, 4}, {0, 5, 9, 2}, {0, 9, 3, 4}, {6, 4, 2, 4}, {3, 4, 7, 2}, {3, 3, 5, 5}, {4, 2, 9, 1},
{6, 2, 8, 0}, {3, 5, 3, 5}, {4, 10, 1, 1}, {10, 1, 3, 2}, {5, 7, 0, 4}, {5, 3, 7, 1}, {6, 8, 1, 1}, {8, 8, 0, 0}, {11, 1, 0, 4}, {14, 1, 0, 1},
{9, 3, 2, 2}, {8, 2, 1, 5}, {0, 0, 2, 14}, {3, 3, 9, 1}, {10, 1, 5, 0}, {8, 3, 1, 4}, {1, 5, 8, 2}, {6, 1, 9, 0}, {3, 2, 1, 10}, {3, 11, 1, 1},
{7, 6, 3, 0}, {9, 0, 3, 4}, {5, 2, 5, 4}, {0, 2, 3, 11}, {15, 0, 0, 1}, {0, 6, 6, 4}, {3, 4, 9, 0}, {4, 7, 0, 5}, {0, 4, 4, 8}, {0, 13, 2, 1},
{2, 4, 1, 9}, {3, 2, 5, 6}, {10, 6, 0, 0}, {3, 5, 6, 2}, {8, 0, 4, 4}, {1, 3, 6, 6}, {7, 7, 0, 2}, {6, 1, 4, 5}, {0, 11, 1, 4}, {2, 2, 8, 4},
{0, 1, 2, 13}, {15, 0, 1, 0}, {7, 2, 6, 1}, {8, 1, 7, 0}, {1, 8, 4, 3}, {2, 13, 1, 0}, {1, 0, 7, 8}, {14, 2, 0, 0}, {1, 8, 1, 6}, {9, 3, 3, 1},
{0, 0, 7, 9}, {4, 4, 1, 7}, {9, 0, 6, 1}, {10, 2, 4, 0}, {1, 7, 3, 5}, {0, 3, 8, 5}, {5, 2, 4, 5}, {1, 2, 5, 8}, {0, 8, 7, 1}, {10, 3, 2, 1},
{12, 0, 4, 0}, {2, 1, 4, 9}, {5, 2, 2, 7}, {1, 9, 3, 3}, {15, 1, 0, 0}, {6, 3, 4, 3}, {9, 5, 0, 2}, {1, 6, 9, 0}, {6, 6, 0, 4}, {13, 2, 1, 0},
{5, 1, 8, 2}, {0, 5, 11, 0}, {7, 1, 0, 8}, {1, 2, 12, 1}, {0, 3, 3, 10}, {7, 4, 2, 3}, {5, 1, 4, 6}, {7, 0, 3, 6}, {3, 12, 0, 1}, {3, 4, 5, 4},
{1, 10, 0, 5}, {7, 4, 3, 2}, {10, 5, 0, 1}, {13, 3, 0, 0}, {2, 5, 4, 5}, {3, 10, 1, 2}, {5, 1, 2, 8}, {14, 0, 1, 1}, {1, 5, 4, 6}, {1, 4, 5, 6},
{2, 3, 11, 0}, {11, 0, 4, 1}, {11, 2, 2, 1}, {5, 3, 8, 0}, {1, 3, 10, 2}, {0, 1, 13, 2}, {3, 1, 4, 8}, {4, 2, 4, 6}, {1, 5, 6, 4}, {2, 1, 11, 2},
{1, 2, 9, 4}, {4, 7, 3, 2}, {6, 2, 5, 3}, {7, 2, 2, 5}, {8, 1, 4, 3}, {3, 2, 8, 3}, {12, 1, 0, 3}, {7, 8, 1, 0}, {7, 0, 2, 7}, {5, 10, 0, 1},
{0, 2, 14, 0}, {2, 9, 3, 2}, {7, 0, 0, 9}, {11, 1, 4, 0}, {10, 4, 1, 1}, {2, 2, 9, 3}, {5, 7, 2, 2}, {1, 3, 1, 11}, {13, 2, 0, 1}, {4, 2, 8, 2},
{2, 3, 1, 10}, {4, 2, 5, 5}, {7, 0, 7, 2}, {10, 0, 0, 6}, {0, 8, 5, 3}, {4, 4, 0, 8}, {12, 4, 0, 0}, {0, 1, 14, 1}, {8, 0, 1, 7}, {5, 1, 5, 5},
{11, 0, 3, 2}, {0, 4, 1, 11}, {0, 8, 8, 0}, {0, 2, 5, 9}, {7, 3, 2, 4}, {7, 8, 0, 1}, {1, 0, 3, 12}, {7, 4, 5, 0}, {1, 6, 7, 2}, {7, 6, 1, 2},
{9, 6, 1, 0}, {12, 2, 0, 2}, {4, 1, 6, 5}, {4, 0, 1, 11}, {8, 4, 4, 0}, {13, 0, 1, 2}, {8, 6, 2, 0}, {4, 12, 0, 0}, {2, 7, 5, 2}, {2, 0, 5, 9},
{5, 4, 5, 2}, {3, 8, 5, 0}, {7, 3, 3, 3}, {4, 4, 8, 0}, {2, 1, 3, 10}, {5, 0, 1, 10}, {6, 4, 3, 3}, {4, 9, 1, 2}, {1, 4, 0, 11}, {11, 3, 1, 1},
{4, 0, 12, 0}, {13, 0, 0, 3}, {6, 1, 6, 3}, {9, 0, 4, 3}, {8, 0, 0, 8}, {8, 4, 0, 4}, {0, 12, 1, 3}, {0, 4, 10, 2}, {3, 4, 8, 1}, {1, 3, 8, 4},
{9, 2, 5, 0}, {5, 7, 4, 0}, {1, 0, 11, 4}, {4, 10, 0, 2}, {1, 3, 12, 0}, {6, 9, 0, 1}, {5, 0, 9, 2}, {5, 9, 2, 0}, {13, 1, 0, 2}, {9, 3, 4, 0},
{9, 4, 0, 3}, {3, 1, 12, 0}, {2, 4, 3, 7}, {1, 2, 13, 0}, {2, 2, 4, 8}, {6, 8, 0, 2}, {9, 2, 1, 4}, {9, 5, 1, 1}, {2, 0, 4, 10}, {5, 4, 0, 7},
{0, 0, 6, 10}, {1, 2, 0, 13}, {4, 7, 2, 3}, {6, 5, 5, 0}, {3, 3, 1, 9}, {1, 6, 1, 8}, {12, 2, 1, 1}, {4, 4, 5, 3}, {1, 0, 6, 9}, {0, 6, 10, 0},
{4, 8, 3, 1}, {4, 3, 2, 7}, {2, 1, 7, 6}, {1, 9, 1, 5}, {3, 1, 3, 9}, {8, 7, 1, 0}, {1, 2, 3, 10}, {14, 1, 1, 0}, {5, 4, 4, 3}, {3, 7, 0, 6},
{7, 4, 1, 4}, {3, 7, 5, 1}, {1, 1, 0, 14}, {0, 10, 3, 3}, {0, 4, 3, 9}, {1, 7, 7, 1}, {2, 0, 10, 4}, {5, 8, 0, 3}, {6, 7, 3, 0}, {0, 8, 4, 4},
{5, 7, 3, 1}, {7, 9, 0, 0}, {7, 6, 2, 1}, {0, 4, 5, 7}, {6, 3, 5, 2}, {1, 2, 1, 12}, {5, 2, 0, 9}, {8, 5, 0, 3}, {4, 6, 1, 5}, {1, 1, 7, 7},
{10, 5, 1, 0}, {1, 2, 8, 5}, {1, 8, 2, 5}, {5, 1, 0, 10}, {6, 9, 1, 0}, {13, 0, 2, 1}, {8, 3, 5, 0}, {6, 3, 6, 1}, {2, 11, 3, 0}, {3, 7, 3, 3},
{1, 5, 2, 8}, {7, 5, 2, 2}, {0, 6, 7, 3}, {13, 1, 1, 1}, {5, 3, 4, 4}, {7, 2, 7, 0}, {5, 8, 3, 0}, {3, 13, 0, 0}, {0, 7, 9, 0}, {8, 0, 3, 5},
{1, 3, 7, 5}, {4, 0, 2, 10}, {12, 0, 1, 3}, {1, 7, 6, 2}, {3, 9, 0, 4}, {7, 2, 0, 7}, {0, 1, 7, 8}, {2, 1, 8, 5}, {0, 13, 1, 2}, {0, 8, 1, 7},
{5, 0, 11, 0}, {5, 6, 2, 3}, {0, 3, 0, 13}, {2, 3, 4, 7}, {5, 6, 3, 2}, {4, 2, 10, 0}, {3, 3, 7, 3}, {7, 2, 5, 2}, {1, 1, 11, 3}, {12, 3, 0, 1},
{5, 1, 1, 9}, {1, 15, 0, 0}, {9, 7, 0, 0}, {9, 1, 2, 4}, {0, 7, 3, 6}, {3, 0, 13, 0}, {3, 0, 11, 2}, {0, 6, 5, 5}, {8, 2, 2, 4}, {6, 10, 0, 0},
{4, 8, 4, 0}, {0, 0, 3, 13}, {0, 4, 12, 0}, {7, 1, 6, 2}, {3, 5, 0, 8}, {8, 0, 6, 2}, {6, 2, 3, 5}, {2, 10, 0, 4}, {4, 11, 0, 1}, {6, 1, 5, 4},
{5, 1, 3, 7}, {0, 11, 3, 2}, {4, 6, 0, 6}, {2, 6, 0, 8}, {3, 1, 7, 5}, {2, 14, 0, 0}, {2, 9, 2, 3}, {0, 3, 4, 9}, {11, 0, 1, 4}, {13, 0, 3, 0},
{8, 3, 0, 5}, {0, 5, 3, 8}, {5, 11, 0, 0}, {0, 1, 4, 11}, {2, 1, 9, 4}, {3, 4, 4, 5}, {7, 1, 2, 6}, {12, 2, 2, 0}, {9, 4, 1, 2}, {6, 0, 2, 8},
{4, 6, 2, 4}, {11, 2, 3, 0}, {3, 2, 2, 9}, {10, 3, 1, 2}, {1, 1, 2, 12}, {0, 5, 2, 9}, {0, 1, 11, 4}, {6, 2, 4, 4}, {2, 8, 2, 4}, {0, 9, 4, 3},
{11, 0, 2, 3}, {0, 2, 11, 3}, {6, 0, 7, 3}, {0, 3, 6, 7}, {4, 5, 5, 2}, {1, 2, 6, 7}, {7, 5, 1, 3}, {9, 0, 2, 5}, {2, 6, 4, 4}, {4, 1, 9, 2},
{4, 8, 2, 2}, {1, 12, 3, 0}, {0, 9, 6, 1}, {0, 10, 6, 0}, {3, 1, 5, 7}, {2, 13, 0, 1}, {2, 2, 1, 11}, {3, 6, 0, 7}, {5, 6, 5, 0}, {5, 5, 4, 2},
{4, 0, 3, 9}, {3, 4, 1, 8}, {0, 11, 2, 3}, {2, 12, 1, 1}, {7, 1, 3, 5}, {7, 0, 9, 0}, {8, 0, 8, 0}, {1, 0, 2, 13}, {3, 3, 10, 0}, {2, 4, 4, 6},
{2, 3, 8, 3}, {1, 10, 5, 0}, {7, 3, 0, 6}, {2, 9, 0, 5}, {1, 4, 6, 5}, {6, 6, 3, 1}, {5, 6, 0, 5}, {6, 3, 0, 7}, {3, 10, 2, 1}, {2, 5, 5, 4},
{3, 8, 4, 1}, {1, 14, 0, 1}, {10, 3, 3, 0}, {3, 5, 7, 1}, {1, 1, 3, 11}, {2, 4, 0, 10}, {9, 3, 1, 3}, {5, 10, 1, 0}, {3, 0, 6, 7}, {3, 1, 9, 3},
{11, 2, 1, 2}, {5, 3, 3, 5}, {0, 5, 1, 10}, {4, 1, 11, 0}, {10, 2, 0, 4}, {7, 6, 0, 3}, {2, 7, 0, 7}, {4, 2, 2, 8}, {6, 1, 7, 2}, {4, 9, 2, 1},
{0, 0, 8, 8}, {3, 7, 2, 4}, {9, 6, 0, 1}, {0, 12, 4, 0}, {6, 7, 1, 2}, {0, 7, 2, 7}, {1, 0, 10, 5}, {0, 0, 14, 2}, {2, 7, 3, 4}, {5, 0, 0, 11},
{7, 7, 1, 1}, {6, 2, 7, 1}, {4, 5, 3, 4}, {3, 5, 1, 7}, {5, 9, 1, 1}, {6, 2, 1, 7}, {3, 2, 0, 11}, {0, 11, 0, 5}, {3, 11, 2, 0}, {10, 1, 4, 1},
{7, 0, 4, 5}, {11, 4, 0, 1}, {10, 3, 0, 3}, {0, 2, 4, 10}, {0, 15, 0, 1}, {0, 11, 5, 0}, {6, 7, 2, 1}, {1, 12, 2, 1}, {4, 1, 3, 8}, {1, 0, 13, 2},
{1, 8, 5, 2}, {7, 0, 1, 8}, {3, 12, 1, 0}, {9, 2, 4, 1}, {1, 7, 4, 4}, {11, 4, 1, 0}, {4, 3, 8, 1}, {2, 8, 4, 2}, {1, 11, 3, 1}, {1, 1, 4, 10},
{4, 10, 2, 0}, {8, 2, 5, 1}, {1, 0, 9, 6}, {5, 3, 2, 6}, {0, 9, 7, 0}, {10, 2, 2, 2}, {5, 8, 1, 2}, {8, 7, 0, 1}, {0, 3, 12, 1}, {1, 0, 1, 14},
{4, 8, 0, 4}, {3, 8, 0, 5}, {4, 6, 5, 1}, {0, 9, 5, 2}, {10, 2, 3, 1}, {2, 3, 9, 2}, {1, 0, 12, 3}, {11, 3, 0, 2}, {4, 5, 2, 5}, {0, 2, 12, 2},
{9, 1, 0, 6}, {9, 2, 0, 5}, {1, 2, 7, 6}, {4, 7, 4, 1}, {0, 12, 2, 2}, {0, 0, 0, 16}, {2, 8, 3, 3}, {3, 6, 2, 5}, {0, 6, 3, 7}, {7, 5, 4, 0},
{3, 3, 3, 7}, {3, 3, 0, 10}, {5, 0, 6, 5}, {0, 0, 10, 6}, {8, 5, 3, 0}, {8, 1, 5, 2}, {6, 0, 9, 1}, {11, 1, 2, 2}, {2, 11, 2, 1}, {9, 5, 2, 0},
{3, 0, 4, 9}, {2, 2, 12, 0}, {2, 6, 6, 2}, {2, 1, 13, 0}, {6, 0, 5, 5}, {2, 0, 14, 0}, {2, 11, 1, 2}, {4, 4, 7, 1}, {2, 0, 11, 3}, {3, 1, 1, 11},
{2, 9, 4, 1}, {3, 7, 6, 0}, {14, 0, 2, 0}, {1, 10, 4, 1}, {8, 0, 7, 1}, {3, 6, 5, 2}, {0, 3, 11, 2}, {2, 5, 6, 3}, {11, 1, 3, 1}, {6, 5, 3, 2},
{3, 8, 1, 4}, {0, 2, 7, 7}, {2, 10, 2, 2}, {1, 6, 2, 7}, {11, 0, 0, 5}, {12, 1, 1, 2}, {12, 1, 2, 1}, {0, 7, 1, 8}, {0, 3, 9, 4}, {0, 2, 1, 13},
{7, 1, 4, 4}, {10, 1, 0, 5}, {4, 0, 8, 4}, {5, 2, 7, 2}, {0, 2, 0, 14}, {4, 3, 7, 2}, {2, 7, 1, 6}, {1, 2, 2, 11}, {6, 3, 3, 4}, {1, 14, 1, 0},
{2, 4, 6, 4}, {5, 3, 6, 2}, {5, 3, 5, 3}, {8, 4, 1, 3}, {1, 3, 0, 12}, {3, 5, 2, 6}, {1, 8, 7, 0}, {0, 7, 4, 5}, {2, 1, 6, 7}, {4, 11, 1, 0},
{7, 2, 4, 3}, {6, 1, 3, 6}, {4, 5, 4, 3}, {2, 11, 0, 3}, {1, 5, 7, 3}, {12, 0, 2, 2}, {5, 0, 4, 7}, {1, 13, 0, 2}, {7, 7, 2, 0}, {4, 1, 7, 4},
{4, 5, 0, 7}, {5, 0, 5, 6}, {6, 5, 4, 1}, {2, 4, 2, 8}, {1, 10, 1, 4}, {6, 3, 1, 6}, {3, 3, 8, 2}, {0, 7, 7, 2}, {4, 4, 2, 6}, {1, 1, 8, 6},
{1, 12, 0, 3}, {2, 1, 12, 1}, {1, 9, 2, 4}, {1, 11, 0, 4}, {2, 5, 2, 7}, {10, 0, 3, 3}, {4, 6, 3, 3}, {3, 7, 1, 5}, {1, 9, 0, 6}, {7, 1, 7, 1},
{1, 6, 5, 4}, {9, 2, 3, 2}, {6, 2, 2, 6}, {2, 2, 2, 10}, {8, 3, 3, 2}, {0, 1, 8, 7}, {2, 0, 8, 6}, {0, 3, 1, 12}, {9, 4, 2, 1}, {9, 4, 3, 0},
{6, 2, 6, 2}, {1, 8, 0, 7}, {5, 1, 10, 0}, {0, 5, 5, 6}, {8, 2, 4, 2}, {2, 3, 2, 9}, {6, 0, 3, 7}, {2, 2, 6, 6}, {2, 6, 2, 6}, {1, 13, 2, 0},
{9, 3, 0, 4}, {7, 3, 5, 1}, {6, 5, 2, 3}, {5, 2, 6, 3}, {2, 0, 12, 2}, {5, 7, 1, 3}, {8, 1, 3, 4}, {3, 1, 10, 2}, {1, 0, 15, 0}, {0, 8, 0, 8},
{5, 0, 7, 4}, {4, 4, 6, 2}, {0, 1, 0, 15}, {10, 0, 1, 5}, {7, 3, 4, 2}, {4, 9, 3, 0}, {2, 5, 7, 2}, {3, 4, 2, 7}, {8, 3, 2, 3}, {5, 1, 6, 4},
{0, 10, 2, 4}, {6, 6, 1, 3}, {6, 0, 0, 10}, {4, 4, 3, 5}, {1, 3, 9, 3}, {7, 5, 3, 1}, {3, 0, 7, 6}, {1, 8, 6, 1}, {4, 3, 0, 9}, {3, 11, 0, 2},
{6, 0, 6, 4}, {0, 1, 3, 12}, {0, 4, 2, 10}, {5, 5, 6, 0}, {4, 1, 4, 7}, {8, 1, 6, 1}, {5, 6, 4, 1}, {8, 4, 2, 2}, {4, 3, 1, 8}, {3, 0, 2, 11},
{1, 11, 4, 0}, {0, 8, 3, 5}, {5, 1, 7, 3}, {7, 0, 8, 1}, {4, 3, 5, 4}, {4, 6, 4, 2}, {3, 2, 4, 7}, {1, 6, 3, 6}, {0, 7, 8, 1}, {3, 0, 1, 12},
{9, 1, 4, 2}, {7, 4, 0, 5}, {1, 7, 0, 8}, {5, 4, 1, 6}, {9, 1, 5, 1}, {1, 1, 9, 5}, {4, 1, 1, 10}, {5, 3, 0, 8}, {2, 2, 5, 7}, {4, 0, 0, 12},
{9, 0, 7, 0}, {3, 4, 0, 9}, {0, 2, 6, 8}, {8, 2, 0, 6}, {3, 2, 6, 5}, {4, 2, 6, 4}, {3, 6, 4, 3}, {2, 8, 6, 0}, {5, 0, 3, 8}, {0, 4, 0, 12},
{0, 16, 0, 0}, {0, 9, 2, 5}, {4, 0, 11, 1}, {1, 6, 4, 5}, {0, 1, 6, 9}, {3, 4, 6, 3}, {3, 0, 10, 3}, {7, 0, 6, 3}, {1, 4, 9, 2}, {1, 5, 3, 7},
{8, 5, 2, 1}, {0, 12, 0, 4}, {7, 2, 3, 4}, {0, 5, 6, 5}, {11, 1, 1, 3}, {6, 5, 0, 5}, {2, 1, 5, 8}, {1, 4, 11, 0}, {9, 1, 1, 5}, {0, 0, 13, 3},
{5, 8, 2, 1}, {2, 12, 0, 2}, {3, 3, 6, 4}, {4, 1, 10, 1}, {4, 0, 5, 7}, {8, 1, 0, 7}, {5, 1, 9, 1}, {4, 3, 3, 6}, {0, 2, 2, 12}, {6, 3, 2, 5},
{0, 0, 12, 4}, {1, 5, 1, 9}, {2, 6, 5, 3}, {3, 6, 3, 4}, {2, 12, 2, 0}, {1, 6, 8, 1}, {10, 1, 1, 4}, {1, 3, 4, 8}, {7, 4, 4, 1}, {1, 11, 1, 3},
{1, 2, 10, 3}, {3, 9, 3, 1}, {8, 5, 1, 2}, {2, 10, 4, 0}, {4, 2, 0, 10}, {2, 7, 6, 1}, {8, 2, 3, 3}, {1, 5, 5, 5}, {3, 1, 0, 12}, {3, 10, 3, 0},
{8, 0, 5, 3}, {0, 6, 8, 2}, {0, 3, 13, 0}, {0, 0, 16, 0}, {1, 9, 4, 2}, {4, 1, 8, 3}, {1, 6, 6, 3}, {0, 10, 5, 1}, {0, 1, 12, 3}, {4, 0, 6, 6},
{3, 8, 3, 2}, {0, 5, 4, 7}, {1, 0, 14, 1}, {0, 4, 6, 6}, {3, 9, 1, 3}, {3, 5, 8, 0}, {3, 6, 6, 1}, {5, 4, 7, 0}, {3, 0, 12, 1}, {8, 6, 1, 1},
{2, 9, 5, 0}, {6, 1, 1, 8}, {4, 1, 2, 9}, {3, 9, 4, 0}, {5, 2, 9, 0}, {0, 12, 3, 1}, {1, 4, 10, 1}, {4, 0, 7, 5}, {3, 1, 2, 10}, {5, 4, 2, 5},
{5, 5, 5, 1}, {4, 2, 3, 7}, {1, 7, 5, 3}, {2, 8, 0, 6}, {8, 1, 2, 5}, {3, 8, 2, 3}, {6, 1, 2, 7}, {3, 9, 2, 2}, {9, 0, 0, 7}, {0, 8, 6, 2},
{8, 4, 3, 1}, {0, 2, 8, 6}, {6, 5, 1, 4}, {2, 3, 5, 6}, {2, 10, 3, 1}, {0, 7, 0, 9}, {4, 2, 7, 3}, {2, 4, 8, 2}, {7, 1, 1, 7}, {2, 4, 7, 3},
{2, 4, 10, 0}, {0, 1, 10, 5}, {4, 7, 1, 4}, {0, 10, 4, 2}, {9, 0, 1, 6}, {1, 9, 6, 0}, {3, 3, 4, 6}, {4, 5, 7, 0}, {5, 5, 2, 4}, {2, 8, 1, 5},
{2, 3, 6, 5}, {0, 1, 1, 14}, {3, 2, 3, 8}, {10, 1, 2, 3}, {9, 1, 6, 0}, {3, 4, 3, 6}, {2, 2, 0, 12}, {0, 0, 9, 7}, {4, 0, 9, 3}, {7, 0, 5, 4},
{4, 5, 6, 1}, {2, 5, 1, 8}, {2, 5, 9, 0}, {3, 5, 4, 4}, {1, 3, 11, 1}, {7, 1, 5, 3}, {3, 2, 7, 4}, {1, 4, 2, 9}, {1, 11, 2, 2}, {2, 2, 3, 9},
{5, 0, 10, 1}, {3, 2, 11, 0}, {1, 10, 3, 2}, {8, 3, 4, 1}, {3, 6, 7, 0}, {0, 7, 5, 4}, {1, 3, 3, 9}, {2, 2, 10, 2}, {1, 9, 5, 1}, {0, 5, 0, 11},
{3, 0, 3, 10}, {0, 4, 8, 4}, {2, 7, 7, 0}, {2, 0, 2, 12}, {1, 2, 11, 2}, {6, 3, 7, 0}, {0, 6, 2, 8}, {0, 10, 1, 5}, {0, 9, 0, 7}, {6, 4, 4, 2},
{6, 0, 1, 9}, {1, 5, 10, 0}, {5, 4, 6, 1}, {5, 5, 3, 3}, {0, 0, 4, 12}, {0, 3, 2, 11}, {1, 4, 1, 10}, {3, 0, 9, 4}, {5, 5, 0, 6}, {1, 7, 8, 0},
{2, 0, 3, 11}, {6, 4, 1, 5}, {10, 0, 6, 0}, {0, 6, 0, 10}, {0, 4, 11, 1}, {3, 1, 6, 6}, {2, 5, 8, 1}, {0, 2, 10, 4}, {3, 1, 11, 1}, {6, 6, 2, 2},
{1, 1, 10, 4}, {2, 1, 2, 11}, {6, 1, 8, 1}, {0, 2, 13, 1}, {0, 7, 6, 3}, {6, 8, 2, 0}, {3, 0, 0, 13}, {4, 4, 4, 4}, {6, 2, 0, 8}, {7, 3, 1, 5},
{0, 11, 4, 1}, {6, 7, 0, 3}, {2, 6, 3, 5}, {5, 2, 1, 8}, {7, 1, 8, 0}, {5, 5, 1, 5}, {1, 8, 3, 4}, {8, 2, 6, 0}, {6, 0, 10, 0}, {5, 6, 1, 4},
{1, 4, 4, 7}, {2, 7, 4, 3}, {1, 4, 8, 3}, {5, 4, 3, 4}, {1, 10, 2, 3}, {2, 9, 1, 4}, {2, 2, 11, 1}, {2, 5, 0, 9}, {0, 0, 1, 15}, {0, 0, 11, 5},
{0, 4, 7, 5}, {0, 1, 15, 0}, {2, 1, 0, 13}, {0, 3, 10, 3}, {8, 0, 2, 6}, {3, 3, 2, 8}, {3, 5, 5, 3}, {1, 7, 1, 7}, {1, 3, 2, 10}, {4, 0, 4, 8},
{2, 0, 9, 5}, {1, 1, 1, 13}, {2, 2, 7, 5}, {2, 1, 10, 3}, {4, 2, 1, 9}, {4, 3, 6, 3}, {1, 3, 5, 7}, {2, 5, 3, 6}, {1, 0, 8, 7}, {5, 0, 2, 9},
{2, 8, 5, 1}, {1, 6, 0, 9}, {0, 0, 5, 11}, {0, 4, 9, 3}, {2, 0, 7, 7}, {1, 7, 2, 6}, {2, 1, 1, 12}, {2, 4, 9, 1}, {0, 5, 7, 4}, {6, 0, 4, 6},
{3, 2, 10, 1}, {0, 6, 1, 9}, {2, 6, 1, 7}, {0, 5, 8, 3}, {4, 1, 0, 11}, {1, 2, 4, 9}, {4, 1, 5, 6}, {6, 1, 0, 9}, {1, 4, 3, 8}, {4, 5, 1, 6},
{1, 0, 5, 10}, {5, 3, 1, 7}, {0, 9, 1, 6}, {2, 0, 1, 13}, {2, 0, 6, 8}, {8, 1, 1, 6}, {1, 5, 9, 1}, {0, 6, 9, 1}, {0, 3, 5, 8}, {0, 2, 9, 5},
{5, 2, 8, 1}, {1, 1, 14, 0}, {3, 2, 9, 2}, {5, 0, 8, 3}, {0, 5, 10, 1}, {5, 2, 3, 6}, {2, 6, 7, 1}, {2, 3, 0, 11}, {0, 1, 9, 6}, {1, 0, 4, 11},
{3, 0, 5, 8}, {0, 0, 15, 1}, {2, 4, 5, 5}, {0, 3, 7, 6}, {2, 0, 0, 14}, {1, 1, 12, 2}, {2, 6, 8, 0}, {3, 1, 8, 4}, {0, 1, 5, 10}};
// All total orderings for 16 pixels [0,2] 2-bit selectors.
// BC1 selector order: 0, 1, 2
// Note this is different from g_unique_total_orders4[], which reorders the selectors into linear order.
const uint8_t g_unique_total_orders3[NUM_UNIQUE_TOTAL_ORDERINGS3][3] = {
{6, 0, 10}, {3, 6, 7}, {3, 0, 13}, {13, 3, 0}, {12, 4, 0}, {9, 1, 6}, {2, 13, 1}, {4, 7, 5}, {7, 5, 4}, {9, 6, 1}, {7, 4, 5}, {8, 6, 2}, {16, 0, 0},
{10, 6, 0}, {2, 7, 7}, {0, 0, 16}, {0, 3, 13}, {1, 15, 0}, {0, 2, 14}, {1, 4, 11}, {15, 1, 0}, {1, 12, 3}, {9, 2, 5}, {14, 1, 1}, {8, 2, 6}, {3, 3, 10},
{4, 2, 10}, {14, 0, 2}, {0, 14, 2}, {1, 7, 8}, {6, 6, 4}, {11, 5, 0}, {6, 4, 6}, {11, 3, 2}, {4, 3, 9}, {7, 1, 8}, {10, 4, 2}, {12, 1, 3}, {11, 0, 5},
{9, 3, 4}, {1, 0, 15}, {9, 0, 7}, {2, 6, 8}, {12, 2, 2}, {6, 2, 8}, {6, 8, 2}, {15, 0, 1}, {4, 8, 4}, {0, 4, 12}, {8, 5, 3}, {5, 9, 2}, {11, 2, 3},
{12, 3, 1}, {6, 3, 7}, {1, 1, 14}, {2, 9, 5}, {1, 8, 7}, {4, 10, 2}, {7, 7, 2}, {13, 1, 2}, {0, 15, 1}, {3, 2, 11}, {7, 0, 9}, {4, 4, 8}, {3, 8, 5},
{0, 5, 11}, {13, 2, 1}, {1, 10, 5}, {4, 11, 1}, {3, 10, 3}, {5, 10, 1}, {10, 2, 4}, {0, 6, 10}, {14, 2, 0}, {11, 4, 1}, {3, 12, 1}, {1, 13, 2}, {1, 5, 10},
{5, 11, 0}, {12, 0, 4}, {8, 1, 7}, {6, 10, 0}, {3, 13, 0}, {7, 2, 7}, {0, 7, 9}, {5, 8, 3}, {0, 12, 4}, {11, 1, 4}, {13, 0, 3}, {0, 16, 0}, {5, 7, 4},
{10, 3, 3}, {10, 0, 6}, {0, 13, 3}, {4, 6, 6}, {2, 8, 6}, {2, 5, 9}, {7, 8, 1}, {2, 1, 13}, {2, 0, 14}, {7, 3, 6}, {5, 1, 10}, {3, 11, 2}, {5, 4, 7},
{8, 3, 5}, {10, 5, 1}, {6, 9, 1}, {1, 3, 12}, {4, 5, 7}, {2, 2, 12}, {4, 1, 11}, {0, 8, 8}, {4, 12, 0}, {6, 5, 5}, {8, 7, 1}, {5, 5, 6}, {3, 7, 6},
{7, 9, 0}, {4, 9, 3}, {0, 10, 6}, {8, 0, 8}, {5, 3, 8}, {10, 1, 5}, {6, 1, 9}, {7, 6, 3}, {9, 5, 2}, {0, 1, 15}, {9, 7, 0}, {2, 14, 0}, {3, 4, 9},
{8, 4, 4}, {9, 4, 3}, {0, 9, 7}, {1, 9, 6}, {3, 9, 4}, {5, 2, 9}, {2, 3, 11}, {5, 6, 5}, {1, 14, 1}, {6, 7, 3}, {2, 4, 10}, {2, 12, 2}, {8, 8, 0},
{2, 10, 4}, {4, 0, 12}, {0, 11, 5}, {2, 11, 3}, {1, 11, 4}, {3, 5, 8}, {5, 0, 11}, {3, 1, 12}, {1, 2, 13}, {1, 6, 9}};
// For each total ordering, this table indicates which other total orderings are likely to improve quality using a least squares pass. Each array is sorted by
// usefulness.
const uint16_t g_best_total_orderings4[NUM_UNIQUE_TOTAL_ORDERINGS4][MAX_TOTAL_ORDERINGS4] = {
#if RGBCX_USE_SMALLER_TABLES
{202, 120, 13, 318, 15, 23, 403, 450, 5, 51, 260, 128, 77, 21, 33, 494, 515, 523, 4, 141, 269, 1, 2, 700, 137, 49, 48, 102, 7, 64, 753, 82},
{13, 141, 23, 217, 115, 51, 77, 2, 64, 21, 0, 4, 5, 317, 137, 269, 202, 33, 318, 7, 291, 352, 9, 10, 3, 180, 32, 6, 365, 102, 341, 349},
{29, 58, 262, 1, 52, 74, 6, 171, 5, 287, 151, 334, 27, 500, 75, 26, 331, 223, 53, 635, 220, 19, 50, 45, 46, 17, 14, 396, 163, 409, 324, 70},
{40, 51, 33, 453, 14, 23, 62, 56, 12, 196, 730, 475, 153, 99, 403, 775, 117, 130, 585, 34, 4, 17, 162, 11, 139, 57, 102, 38, 108, 47, 123, 440},
{33, 23, 51, 13, 102, 64, 202, 128, 12, 40, 15, 196, 153, 10, 1, 2, 77, 99, 141, 0, 515, 5, 117, 3, 120, 403, 700, 165, 22, 14, 269, 453},
{13, 23, 51, 4, 77, 141, 202, 33, 115, 64, 32, 128, 0, 11, 177, 40, 15, 102, 2, 217, 7, 137, 269, 21, 90, 59, 515, 1, 180, 403, 22, 6},
{26, 235, 19, 47, 648, 624, 78, 145, 27, 112, 122, 64, 444, 6, 630, 453, 25, 42, 65, 130, 711, 85, 390, 113, 416, 108, 665, 29, 730, 138, 644, 95},
{64, 141, 352, 751, 217, 247, 237, 437, 177, 269, 86, 954, 947, 875, 32, 318, 95, 77, 304, 92, 597, 180, 232, 291, 128, 864, 349, 588, 372, 202, 312, 1},
{642, 898, 180, 638, 901, 341, 82, 197, 10, 951, 15, 515, 165, 762, 700, 253, 811, 753, 752, 365, 143, 479, 244, 569, 8, 110, 351, 873, 55, 31, 499, 116},
{221, 23, 51, 125, 438, 254, 13, 21, 39, 49, 308, 656, 0, 115, 530, 159, 158, 401, 30, 166, 912, 386, 165, 688, 518, 9, 105, 627, 424, 22, 421, 33},
{143, 31, 1, 44, 197, 8, 180, 125, 116, 55, 13, 498, 23, 341, 638, 242, 93, 15, 2, 141, 0, 901, 752, 115, 36, 206, 165, 479, 338, 365, 515, 762},
{12, 23, 51, 13, 14, 15, 37, 99, 515, 38, 700, 117, 2, 196, 134, 153, 753, 64, 54, 33, 128, 120, 21, 0, 328, 5, 139, 82, 453, 719, 457, 1},
{13, 15, 23, 515, 961, 700, 457, 753, 51, 115, 4, 165, 197, 2, 38, 569, 1, 474, 0, 37, 99, 719, 5, 12, 629, 14, 11, 3, 33, 77, 64, 10},
{15, 515, 700, 753, 1, 0, 2, 4, 3, 23, 134, 12, 961, 5, 10, 197, 11, 33, 82, 120, 457, 51, 165, 7, 6, 341, 217, 21, 77, 9, 40, 180},
{13, 51, 23, 457, 719, 961, 730, 401, 165, 453, 0, 117, 386, 15, 134, 1, 758, 153, 12, 54, 515, 99, 11, 2, 700, 5, 753, 4, 308, 33, 6, 899},
{134, 898, 82, 117, 13, 33, 77, 102, 23, 260, 341, 351, 120, 901, 197, 153, 961, 111, 196, 110, 180, 457, 854, 10, 450, 8, 165, 40, 4, 115, 0, 365},
{60, 18, 126, 167, 35, 16, 191, 71, 24, 92, 121, 271, 68, 107, 212, 146, 118, 150, 199, 7, 21, 1, 9, 575, 727, 5, 566, 48, 0, 132, 108, 273},
{62, 136, 129, 123, 128, 41, 162, 17, 249, 211, 214, 789, 618, 710, 38, 678, 248, 507, 57, 64, 152, 269, 119, 3, 177, 183, 597, 106, 4, 179, 216, 90},
{403, 523, 51, 475, 494, 453, 817, 899, 202, 23, 450, 13, 421, 120, 102, 730, 33, 128, 4, 1, 805, 5, 7, 153, 757, 260, 318, 196, 77, 457, 326, 65},
{4, 59, 3, 62, 12, 33, 56, 193, 27, 21, 102, 17, 40, 77, 76, 84, 32, 0, 6, 123, 119, 177, 128, 11, 18, 611, 605, 25, 13, 51, 73, 210},
{43, 20, 319, 422, 414, 945, 0, 7, 819, 61, 5, 376, 325, 173, 804, 904, 470, 693, 97, 707, 14, 49, 22, 104, 147, 107, 95, 32, 426, 1, 330, 577},
{13, 23, 51, 2, 0, 115, 4, 141, 217, 33, 10, 77, 1, 15, 64, 180, 3, 515, 7, 6, 22, 102, 11, 5, 40, 9, 165, 700, 202, 197, 317, 341},
{28, 49, 0, 105, 1, 24, 65, 159, 35, 55, 95, 239, 16, 2, 109, 7, 9, 14, 170, 320, 347, 168, 424, 158, 10, 301, 124, 5, 67, 21, 64, 36},
{15, 515, 700, 753, 0, 1, 13, 2, 117, 4, 12, 10, 5, 165, 457, 3, 9, 134, 11, 7, 6, 51, 77, 64, 961, 82, 33, 197, 14, 341, 120, 141},
{7, 71, 14, 149, 97, 18, 60, 16, 150, 92, 398, 189, 140, 124, 24, 273, 35, 2, 69, 302, 154, 68, 0, 336, 517, 43, 66, 28, 118, 251, 230, 1},
{4, 102, 33, 77, 40, 59, 11, 624, 210, 12, 128, 342, 5, 503, 91, 139, 64, 32, 25, 494, 202, 678, 416, 0, 403, 275, 21, 450, 196, 318, 523, 177},
{25, 19, 42, 6, 122, 813, 256, 235, 85, 26, 436, 53, 297, 573, 680, 390, 445, 63, 27, 416, 80, 233, 65, 73, 389, 283, 45, 605, 194, 17, 250, 343},
{402, 102, 202, 128, 33, 300, 403, 23, 12, 77, 40, 21, 342, 117, 483, 99, 25, 494, 6, 4, 63, 32, 84, 569, 139, 757, 475, 318, 19, 26, 196, 134},
{158, 9, 0, 109, 39, 49, 65, 22, 35, 168, 55, 24, 68, 124, 159, 16, 185, 344, 333, 154, 254, 272, 175, 289, 1, 577, 95, 28, 105, 810, 30, 169},
{197, 180, 115, 237, 498, 165, 2, 5, 287, 546, 400, 3, 61, 34, 509, 13, 297, 80, 341, 52, 45, 186, 58, 881, 23, 873, 468, 176, 64, 17, 311, 250},
{120, 968, 373, 260, 704, 110, 450, 202, 137, 318, 77, 95, 269, 326, 217, 717, 661, 652, 851, 349, 93, 1, 518, 98, 827, 291, 21, 177, 82, 33, 848, 719},
{44, 116, 144, 268, 434, 489, 367, 384, 98, 127, 918, 93, 948, 31, 206, 940, 855, 0, 203, 137, 9, 22, 617, 141, 332, 105, 393, 492, 959, 282, 299, 131},
{13, 77, 23, 33, 51, 0, 64, 141, 102, 4, 2, 115, 1, 6, 202, 15, 10, 128, 269, 7, 177, 180, 3, 40, 22, 11, 515, 217, 117, 318, 700, 137},
{15, 515, 700, 753, 4, 11, 141, 40, 165, 23, 64, 180, 13, 202, 32, 3, 51, 125, 5, 197, 21, 128, 0, 93, 77, 1, 120, 82, 269, 117, 110, 59},
{176, 231, 585, 62, 34, 14, 412, 161, 56, 236, 527, 57, 17, 3, 51, 202, 4, 23, 369, 283, 128, 13, 472, 440, 84, 361, 136, 457, 381, 130, 719, 53},
{9, 0, 180, 217, 237, 101, 141, 352, 88, 100, 230, 64, 175, 317, 115, 498, 68, 39, 30, 1, 702, 83, 213, 36, 365, 208, 752, 13, 252, 321, 952, 546},
{28, 9, 22, 1, 49, 0, 109, 39, 83, 95, 86, 30, 13, 105, 128, 55, 141, 168, 158, 67, 31, 159, 208, 12, 96, 5, 185, 2, 160, 64, 137, 23},
{72, 4, 38, 12, 51, 89, 477, 11, 57, 76, 401, 308, 23, 474, 99, 148, 413, 179, 59, 13, 431, 152, 54, 569, 17, 3, 205, 629, 197, 421, 405, 15},
{457, 13, 23, 961, 15, 51, 515, 700, 165, 12, 753, 629, 11, 1, 719, 117, 0, 3, 2, 37, 569, 197, 40, 328, 33, 5, 153, 134, 99, 64, 38, 196},
{254, 100, 310, 9, 30, 1, 39, 625, 166, 265, 190, 0, 272, 557, 131, 731, 31, 98, 578, 688, 404, 93, 101, 88, 49, 21, 127, 264, 44, 36, 252, 478},
{51, 23, 12, 13, 15, 128, 99, 120, 10, 202, 515, 153, 64, 82, 700, 33, 165, 2, 5, 117, 403, 1, 141, 0, 3, 196, 37, 453, 753, 197, 260, 93},
{38, 99, 542, 139, 453, 117, 196, 23, 457, 13, 328, 111, 37, 134, 961, 11, 12, 51, 40, 775, 587, 401, 474, 54, 153, 477, 41, 629, 33, 475, 14, 277},
{6, 85, 25, 233, 343, 91, 26, 63, 138, 29, 19, 65, 283, 4, 81, 235, 42, 122, 605, 64, 648, 256, 174, 370, 74, 389, 718, 59, 45, 194, 445, 416},
{49, 5, 97, 20, 197, 21, 18, 193, 0, 64, 408, 729, 173, 350, 43, 422, 165, 7, 14, 104, 61, 32, 509, 713, 523, 102, 120, 95, 125, 397, 35, 232},
{144, 116, 268, 434, 384, 489, 367, 206, 93, 855, 940, 44, 98, 332, 617, 127, 959, 911, 137, 282, 203, 31, 22, 219, 141, 9, 131, 276, 417, 0, 1, 120},
{17, 106, 64, 62, 32, 255, 136, 292, 476, 162, 129, 241, 123, 141, 41, 237, 720, 214, 209, 352, 519, 211, 186, 148, 752, 247, 507, 90, 21, 77, 197, 119},
{2, 29, 52, 50, 5, 58, 14, 6, 27, 1, 366, 357, 45, 53, 17, 19, 171, 151, 26, 181, 133, 38, 218, 764, 287, 583, 61, 113, 3, 487, 600, 281},
{130, 59, 196, 412, 381, 730, 711, 236, 77, 210, 202, 402, 453, 99, 401, 108, 361, 803, 291, 283, 153, 4, 57, 51, 128, 183, 14, 719, 503, 117, 23, 11},
{13, 23, 51, 141, 77, 4, 33, 64, 115, 0, 217, 10, 180, 202, 2, 102, 11, 9, 15, 165, 40, 21, 128, 352, 22, 7, 197, 3, 317, 515, 269, 1},
{23, 13, 202, 51, 120, 15, 21, 5, 141, 1, 128, 269, 137, 515, 64, 102, 125, 48, 98, 33, 260, 523, 318, 93, 700, 165, 450, 77, 2, 12, 403, 82},
{1, 2, 14, 46, 29, 67, 38, 52, 5, 171, 58, 24, 103, 69, 96, 70, 83, 181, 54, 75, 163, 223, 16, 45, 112, 309, 155, 0, 186, 35, 18, 108},
{15, 515, 700, 753, 13, 0, 1, 2, 153, 5, 23, 10, 117, 3, 9, 7, 134, 165, 12, 6, 341, 33, 4, 14, 77, 457, 115, 21, 719, 180, 217, 82},
{197, 165, 509, 13, 391, 180, 308, 115, 23, 546, 5, 498, 2, 29, 3, 401, 901, 61, 34, 80, 14, 457, 250, 569, 237, 873, 38, 297, 45, 15, 468, 386},
{19, 73, 27, 250, 200, 714, 444, 472, 26, 53, 34, 17, 813, 322, 283, 390, 128, 297, 78, 123, 432, 14, 436, 136, 106, 690, 57, 122, 389, 80, 503, 3},
{3, 17, 21, 45, 62, 32, 38, 12, 155, 14, 2, 328, 5, 99, 401, 536, 828, 13, 227, 488, 106, 51, 719, 119, 540, 76, 165, 221, 115, 629, 209, 41},
{115, 341, 873, 197, 365, 13, 901, 180, 569, 752, 317, 1, 10, 498, 143, 634, 261, 0, 509, 15, 943, 237, 44, 31, 116, 601, 165, 127, 282, 23, 141, 64},
{453, 51, 23, 403, 33, 421, 475, 102, 15, 153, 196, 515, 13, 700, 117, 523, 12, 40, 753, 21, 4, 134, 0, 494, 670, 899, 22, 801, 730, 10, 11, 401},
{23, 13, 51, 33, 12, 117, 153, 134, 453, 196, 15, 99, 515, 40, 14, 700, 128, 102, 11, 753, 77, 64, 403, 202, 0, 401, 475, 37, 65, 2, 3, 38},
{2, 7, 5, 14, 70, 1, 29, 61, 52, 45, 6, 112, 66, 16, 21, 32, 592, 46, 38, 135, 87, 58, 186, 315, 290, 128, 113, 0, 64, 48, 227, 23},
{33, 23, 102, 51, 128, 13, 64, 202, 141, 1, 77, 10, 153, 40, 196, 117, 2, 3, 0, 5, 15, 269, 403, 12, 137, 134, 318, 165, 120, 6, 453, 99},
{16, 92, 7, 20, 43, 35, 126, 71, 60, 14, 107, 18, 68, 97, 0, 121, 279, 149, 24, 246, 191, 48, 118, 575, 55, 140, 362, 783, 230, 150, 375, 566},
{13, 23, 4, 33, 77, 64, 51, 102, 141, 128, 32, 10, 0, 202, 40, 115, 59, 22, 90, 11, 177, 21, 291, 6, 7, 318, 180, 117, 137, 2, 95, 165},
{507, 162, 129, 41, 4, 211, 62, 38, 123, 59, 57, 248, 183, 130, 99, 11, 3, 361, 202, 17, 402, 556, 266, 305, 803, 210, 128, 184, 152, 136, 313, 117},
{643, 123, 193, 650, 802, 18, 25, 389, 718, 256, 65, 289, 84, 91, 619, 511, 415, 90, 235, 63, 57, 510, 324, 216, 862, 102, 6, 183, 108, 397, 217, 736},
{13, 23, 15, 1, 515, 51, 0, 2, 700, 5, 753, 165, 141, 115, 12, 3, 4, 180, 21, 197, 457, 7, 6, 10, 120, 9, 33, 202, 77, 32, 8, 11},
{23, 51, 13, 453, 64, 403, 12, 21, 5, 202, 128, 475, 165, 141, 523, 95, 125, 115, 3, 1, 4, 730, 120, 32, 2, 494, 180, 719, 457, 197, 450, 401},
{204, 74, 135, 66, 6, 174, 192, 7, 138, 172, 85, 353, 348, 580, 280, 97, 95, 500, 29, 64, 426, 32, 87, 889, 65, 81, 25, 2, 52, 43, 568, 673},
{35, 0, 68, 69, 24, 9, 1, 16, 65, 103, 149, 133, 18, 114, 28, 50, 83, 2, 189, 7, 46, 14, 101, 336, 175, 124, 251, 55, 71, 218, 38, 238},
{16, 101, 0, 118, 9, 18, 24, 68, 35, 154, 71, 124, 60, 212, 191, 520, 55, 806, 694, 167, 28, 39, 364, 375, 1, 346, 252, 65, 604, 302, 22, 21},
{0, 9, 16, 35, 1, 24, 68, 18, 65, 21, 103, 67, 13, 149, 28, 189, 71, 23, 101, 238, 114, 7, 335, 133, 486, 141, 22, 212, 48, 50, 30, 118},
{13, 202, 23, 77, 33, 51, 128, 5, 21, 141, 115, 32, 102, 64, 4, 0, 318, 269, 10, 15, 291, 2, 494, 177, 11, 217, 3, 515, 22, 137, 6, 700},
{16, 92, 60, 35, 7, 18, 24, 68, 150, 149, 14, 71, 0, 375, 97, 126, 118, 107, 230, 191, 246, 273, 140, 55, 175, 653, 9, 575, 2, 28, 566, 517},
{76, 90, 21, 179, 316, 148, 205, 32, 464, 288, 184, 257, 245, 1, 89, 2, 460, 57, 152, 45, 38, 358, 645, 5, 12, 449, 350, 48, 37, 17, 4, 14},
{19, 27, 26, 813, 80, 297, 17, 495, 436, 53, 73, 200, 4, 378, 250, 59, 106, 25, 45, 128, 361, 42, 113, 469, 122, 390, 77, 40, 736, 6, 11, 136},
{6, 26, 235, 138, 19, 145, 112, 70, 331, 262, 25, 42, 52, 624, 27, 453, 122, 47, 500, 78, 648, 85, 29, 2, 630, 632, 409, 113, 50, 226, 108, 75},
{7, 16, 14, 24, 92, 35, 18, 2, 46, 9, 60, 140, 0, 87, 50, 5, 54, 13, 12, 38, 171, 23, 126, 21, 58, 64, 1, 70, 128, 71, 220, 163},
{90, 205, 257, 184, 32, 179, 460, 5, 245, 45, 2, 288, 769, 524, 57, 21, 152, 229, 17, 1, 497, 4, 292, 59, 619, 452, 432, 76, 476, 11, 266, 14},
{15, 515, 700, 753, 4, 5, 11, 141, 13, 1, 33, 3, 0, 128, 202, 23, 180, 21, 2, 64, 269, 32, 117, 134, 120, 40, 102, 318, 153, 17, 137, 352},
{47, 130, 711, 108, 453, 412, 730, 196, 390, 283, 78, 27, 51, 183, 381, 236, 128, 200, 719, 14, 153, 472, 503, 34, 59, 250, 3, 4, 57, 803, 123, 432},
{12, 277, 51, 474, 111, 153, 23, 99, 13, 37, 961, 94, 629, 542, 569, 431, 79, 139, 38, 134, 117, 453, 33, 188, 196, 40, 115, 15, 11, 157, 401, 515},
{17, 495, 469, 106, 26, 378, 80, 27, 161, 483, 19, 742, 527, 436, 383, 862, 73, 136, 53, 814, 297, 6, 119, 84, 62, 56, 25, 3, 209, 611, 4, 128},
{81, 681, 636, 91, 0, 750, 370, 104, 718, 138, 18, 693, 173, 784, 29, 397, 348, 74, 192, 673, 174, 65, 6, 207, 64, 280, 306, 52, 671, 32, 355, 319},
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{1, 2, 5, 14, 48, 21, 290, 32, 50, 45, 38, 46, 263, 207, 155, 72, 76, 29, 17, 408, 425, 171, 89, 52, 7, 0, 292, 449, 3, 227, 513, 428},
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{6, 85, 42, 25, 138, 222, 174, 235, 280, 256, 525, 289, 26, 214, 64, 746, 90, 32, 544, 65, 204, 19, 66, 337, 355, 95, 348, 415, 74, 29, 5, 312},
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{76, 5, 214, 129, 2, 123, 45, 710, 17, 249, 618, 460, 179, 32, 1, 257, 205, 519, 90, 207, 245, 184, 162, 61, 769, 209, 292, 106, 6, 29, 14, 128},
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{7, 2, 135, 14, 29, 87, 66, 52, 97, 172, 70, 112, 5, 58, 46, 337, 92, 16, 20, 43, 1, 38, 232, 155, 74, 294, 6, 461, 409, 151, 262, 32},
{574, 187, 384, 926, 860, 110, 258, 434, 269, 531, 141, 244, 160, 261, 253, 116,
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{97, 7, 81, 140, 66, 92, 172, 192, 24, 298, 43, 6, 74, 69, 314, 426, 462, 14, 501, 16, 21, 508, 60, 189, 267, 232, 230, 104, 48, 20, 135, 330},
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{17, 209, 45, 106, 207, 5, 255, 119, 62, 2, 61, 3, 263, 742, 306, 655, 425, 378, 32, 56, 29, 136, 84, 80, 311, 58, 186, 240, 243, 383, 14, 21},
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{15, 515, 700, 753, 165, 13, 0, 1, 197, 23, 4, 82, 120, 2, 180, 12, 260, 719, 8, 3, 386, 117, 5, 523, 901, 11, 341, 51, 10, 9, 141, 351},
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{6, 262, 197, 350, 74, 26, 115, 509, 841, 583, 165, 38, 21, 13, 47, 50, 235, 19, 33, 324, 453, 4, 308, 196, 138, 99, 64, 903, 675, 1, 223, 130},
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{7, 92, 97, 16, 298, 140, 60, 126, 14, 35, 279, 314, 232, 246, 43, 230, 508, 173, 71, 107, 423, 24, 150, 779, 20, 189, 66, 18, 607, 21, 0, 653},
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{0, 18, 403, 25, 523, 74, 6, 24, 42, 91, 22, 102, 13, 51, 49, 193, 475, 681, 95, 85, 730, 64, 899, 397, 273, 750, 247, 673, 32, 805, 757, 288},
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{23, 51, 13, 453, 457, 12, 719, 4, 15, 99, 401, 2, 961, 3, 11, 730, 475, 515, 0, 1, 165, 115, 629, 700, 14, 17, 403, 40, 5, 33, 37, 64},
{968, 967, 966, 965, 964, 963, 962, 961, 960, 959, 958, 957, 956, 955, 954, 953,
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{13, 21, 180, 125, 5, 23, 191, 32, 18, 16, 146, 199, 115, 24, 165, 118, 0, 225, 22, 1, 60, 197, 64, 901, 375, 241, 48, 12, 408, 71, 522, 818},
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{33, 77, 102, 64, 13, 23, 128, 51, 141, 202, 1, 40, 0, 2, 117, 10, 15, 4, 6, 318, 269, 134, 22, 515, 180, 115, 177, 153, 137, 196, 3, 700},
{174, 544, 104, 525, 74, 0, 151, 25, 6, 624, 29, 66, 2, 636, 81, 45, 204, 177, 64, 416, 7, 644, 5, 138, 222, 319, 355, 77, 22, 122, 789, 216},
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{539, 213, 748, 840, 957, 669, 30, 466, 88, 217, 144, 251, 863, 190, 137, 93,
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{15, 515, 1, 700, 0, 2, 753, 13, 23, 5, 180, 3, 51, 4, 165, 457, 12, 197, 115, 6, 7, 21, 9, 141, 8, 901, 33, 82, 120, 77, 10, 110},
{0, 28, 65, 14, 67, 2, 124, 24, 1, 9, 7, 69, 55, 154, 36, 16, 46, 114, 175, 35, 83, 22, 429, 18, 109, 149, 68, 189, 108, 336, 251, 133},
{56, 162, 403, 3, 129, 775, 99, 161, 17, 40, 527, 33, 880, 4, 14, 128, 475, 12, 548, 23, 102, 202, 361, 117, 34, 184, 383, 200, 183, 196, 64, 53},
{151, 2, 29, 58, 112, 45, 186, 113, 5, 70, 52, 1, 311, 6, 315, 66, 61, 7, 74, 27, 631, 17, 80, 87, 287, 243, 209, 227, 14, 491, 19, 869},
{6, 1, 74, 2, 75, 29, 25, 66, 26, 70, 52, 138, 67, 324, 357, 42, 19, 220, 14, 85, 87, 108, 38, 451, 309, 103, 24, 69, 380, 135, 114, 65},
{15, 515, 700, 13, 23, 0, 1, 120, 753, 51, 180, 2, 260, 202, 5, 141, 77, 102, 9, 450, 115, 21, 197, 165, 7, 137, 110, 33, 12, 269, 901, 4},
{5, 45, 17, 2, 14, 46, 48, 38, 181, 50, 155, 3, 186, 54, 61, 29, 21, 227, 281, 80, 540, 106, 12, 400, 52, 1, 58, 32, 328, 171, 209, 487},
{16, 18, 265, 121, 158, 35, 60, 9, 39, 7, 329, 105, 252, 68, 24, 1, 132, 167, 159, 22, 0, 49, 286, 101, 21, 146, 23, 327, 120, 709, 5, 14},
{108, 467, 283, 56, 389, 650, 123, 412, 33, 177, 899, 475, 216, 453, 269, 349, 619, 65, 51, 730, 403, 670, 23, 196, 523, 128, 84, 13, 401, 789, 503, 543},
{514, 3, 11, 377, 328, 4, 361, 507, 57, 403, 14, 880, 130, 485, 176, 215, 236, 38, 152, 102, 211, 56, 62, 757, 54, 585, 300, 556, 34, 555, 40, 229},
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{15, 180, 515, 82, 351, 700, 10, 317, 753, 115, 217, 365, 141, 898, 33, 901, 13, 23, 110, 854, 752, 77, 1, 197, 4, 341, 143, 36, 64, 352, 102, 9},
{104, 289, 66, 707, 214, 90, 712, 64, 97, 173, 20, 0, 414, 194, 874, 43, 32, 7, 568, 560, 65, 38, 426, 312, 715, 192, 376, 74, 835, 5, 324, 147},
{84, 56, 0, 554, 63, 65, 453, 249, 123, 643, 18, 26, 847, 475, 511, 403, 416, 561, 524, 289, 370, 73, 9, 19, 45, 42, 719, 194, 27, 467, 33, 730},
{21, 346, 13, 350, 308, 826, 197, 101, 352, 68, 570, 0, 165, 23, 9, 841, 115, 100, 509, 694, 221, 230, 35, 217, 569, 88, 124, 749, 1, 777, 212, 154},
{16, 92, 7, 24, 60, 18, 35, 140, 126, 14, 50, 71, 46, 330, 2, 75, 246, 5, 121, 267, 571, 1, 230, 309, 220, 0, 9, 64, 146, 236, 54, 108},
{82, 15, 515, 898, 365, 700, 180, 33, 341, 753, 77, 901, 10, 115, 55, 351, 21, 5, 1, 4, 13, 102, 36, 217, 2, 165, 752, 120, 197, 117, 11, 317},
{16, 24, 35, 18, 69, 71, 140, 1, 103, 7, 189, 68, 0, 50, 9, 108, 2, 133, 60, 267, 230, 46, 149, 67, 167, 118, 92, 14, 75, 21, 191, 38},
{60, 71, 16, 18, 7, 20, 43, 118, 35, 68, 375, 28, 608, 0, 175, 566, 154, 92, 14, 149, 628, 33, 22, 13, 2, 10, 279, 23, 107, 356, 55, 117},
{187, 258, 871, 295, 201, 434, 219, 224, 489, 384, 268, 110, 261, 839, 44, 699,
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{66, 7, 97, 172, 192, 712, 232, 324, 204, 74, 43, 448, 387, 426, 568, 20, 526, 107, 104, 135, 356, 729, 173, 0, 22, 5, 32, 95, 2, 64, 500, 560},
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{0, 28, 24, 9, 35, 65, 16, 124, 68, 55, 109, 154, 7, 39, 22, 149, 158, 14, 175, 1, 49, 252, 18, 71, 2, 168, 289, 419, 108, 420, 67, 101},
{7, 16, 14, 92, 2, 46, 140, 24, 220, 35, 38, 60, 75, 1, 50, 18, 87, 54, 5, 126, 29, 52, 278, 262, 314, 107, 71, 21, 172, 135, 330, 394},
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{16, 60, 35, 18, 126, 107, 68, 191, 92, 121, 7, 14, 598, 20, 493, 279, 167, 446, 118, 0, 28, 43, 463, 55, 24, 212, 375, 566, 9, 150, 575, 21},
{15, 1, 515, 2, 4, 13, 0, 700, 3, 5, 23, 753, 341, 77, 51, 115, 33, 11, 180, 10, 197, 141, 6, 165, 7, 901, 102, 40, 9, 202, 217, 12},
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{131, 716, 224, 371, 219, 187, 737, 616, 385, 254, 9, 98, 105, 924, 31, 258, 836, 39, 127, 578, 49, 916, 44, 761, 272, 137, 944, 159, 0, 242, 442, 22},
{15, 515, 700, 1, 753, 2, 5, 0, 4, 13, 3, 180, 11, 141, 197, 10, 341, 217, 33, 134, 165, 6, 77, 7, 317, 12, 352, 64, 365, 32, 102, 40},
{66, 74, 7, 173, 174, 29, 192, 2, 222, 20, 226, 43, 353, 52, 712, 6, 0, 138, 500, 204, 97, 145, 64, 104, 426, 673, 355, 90, 25, 5, 65, 87},
{5, 259, 786, 534, 590, 493, 279, 49, 13, 581, 465, 21, 929, 35, 941, 132, 147, 32, 23, 612, 362, 626, 107, 121, 178, 0, 146, 61, 48, 939, 10, 18},
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{1, 22, 2, 14, 0, 28, 7, 168, 67, 49, 65, 24, 36, 95, 5, 105, 55, 35, 12, 46, 69, 16, 114, 159, 194, 50, 10, 9, 158, 83, 164, 109},
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{18, 16, 21, 23, 48, 13, 24, 35, 121, 5, 156, 60, 51, 1, 7, 132, 141, 221, 163, 115, 0, 271, 447, 340, 363, 202, 125, 71, 2, 781, 22, 698},
{165, 13, 457, 23, 197, 961, 629, 569, 341, 41, 12, 38, 401, 901, 54, 51, 115, 17, 15, 509, 421, 37, 62, 45, 719, 57, 32, 328, 117, 758, 157, 99},
{2, 1, 77, 141, 33, 64, 3, 102, 0, 23, 13, 5, 128, 10, 6, 15, 180, 202, 269, 40, 51, 515, 7, 165, 137, 117, 318, 4, 700, 153, 197, 352},
{68, 212, 0, 124, 101, 9, 154, 16, 562, 191, 21, 149, 65, 24, 35, 1, 118, 167, 818, 350, 520, 100, 722, 841, 264, 71, 13, 302, 478, 23, 375, 346},
{98, 23, 48, 598, 13, 293, 541, 21, 125, 121, 51, 807, 0, 31, 35, 259, 126, 7, 386, 1, 223, 783, 10, 107, 199, 20, 221, 144, 342, 963, 49, 64},
{21, 13, 5, 586, 1, 23, 167, 48, 33, 781, 647, 49, 165, 18, 51, 271, 77, 32, 761, 118, 0, 82, 391, 22, 146, 141, 459, 31, 197, 156, 115, 4},
{2, 1, 5, 61, 29, 7, 58, 45, 14, 6, 425, 32, 70, 52, 290, 738, 207, 21, 72, 112, 66, 76, 655, 17, 186, 46, 64, 263, 38, 0, 128, 87},
{39, 265, 9, 100, 1, 333, 363, 101, 18, 411, 447, 254, 166, 310, 31, 98, 264, 30, 639, 404, 156, 286, 16, 93, 593, 203, 272, 682, 0, 905, 44, 821},
{6, 2, 1, 19, 29, 51, 26, 108, 25, 74, 5, 23, 14, 114, 13, 386, 133, 103, 42, 66, 453, 70, 309, 138, 719, 324, 65, 38, 64, 96, 52, 75},
{20, 43, 356, 107, 49, 858, 595, 7, 414, 359, 0, 5, 392, 319, 97, 612, 422, 819, 14, 376, 173, 246, 22, 470, 147, 427, 230, 92, 197, 33, 683, 95},
{0, 9, 68, 35, 65, 67, 114, 101, 28, 1, 124, 175, 336, 69, 154, 103, 83, 24, 189, 133, 39, 16, 50, 7, 2, 149, 55, 251, 18, 345, 230, 36},
{23, 13, 51, 15, 0, 1, 515, 115, 165, 2, 5, 12, 700, 202, 4, 21, 141, 457, 753, 197, 10, 3, 180, 120, 32, 9, 318, 11, 453, 64, 6, 269},
{121, 195, 60, 16, 126, 107, 98, 271, 146, 407, 132, 35, 1, 167, 199, 223, 493, 191, 279, 20, 18, 5, 43, 7, 21, 92, 48, 393, 0, 362, 212, 467},
{31, 44, 299, 116, 393, 144, 492, 456, 268, 22, 105, 0, 367, 918, 384, 434, 127, 489, 98, 9, 963, 125, 242, 948, 1, 28, 206, 49, 36, 51, 93, 293},
{23, 13, 457, 51, 165, 401, 719, 758, 197, 453, 961, 629, 308, 14, 15, 12, 730, 3, 386, 569, 391, 29, 739, 515, 34, 828, 832, 901, 115, 514, 670, 341},
{105, 36, 131, 22, 180, 115, 341, 127, 169, 1, 9, 31, 64, 98, 44, 365, 317, 141, 272, 143, 160, 55, 219, 86, 197, 776, 239, 187, 0, 535, 13, 752},
{1, 6, 2, 14, 66, 25, 29, 5, 108, 67, 65, 114, 19, 38, 26, 52, 74, 7, 24, 18, 69, 86, 36, 388, 64, 51, 17, 83, 23, 46, 42, 75},
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{252, 18, 9, 101, 121, 16, 132, 0, 419, 167, 364, 60, 604, 35, 265, 363, 146, 271, 39, 158, 68, 109, 28, 329, 848, 24, 647, 907, 682, 159, 212, 55},
{283, 503, 128, 432, 26, 193, 63, 269, 789, 529, 102, 122, 389, 275, 678, 6, 25, 318, 445, 4, 342, 27, 573, 605, 177, 862, 643, 291, 216, 57, 235, 59},
{2, 1, 29, 75, 69, 52, 14, 6, 46, 74, 87, 7, 220, 226, 278, 38, 135, 66, 267, 70, 16, 262, 25, 24, 380, 324, 357, 140, 67, 394, 97, 222},
{97, 298, 69, 7, 66, 140, 189, 24, 16, 267, 172, 423, 60, 150, 14, 314, 92, 71, 81, 501, 43, 35, 74, 6, 517, 232, 149, 607, 83, 330, 18, 2},
{475, 421, 403, 899, 51, 805, 523, 958, 453, 817, 23, 615, 401, 801, 120, 326, 202, 670, 494, 730, 450, 386, 115, 629, 260, 576, 77, 365, 569, 0, 165, 13},
{7, 20, 14, 128, 77, 97, 112, 202, 2, 177, 16, 415, 269, 318, 275, 66, 107, 43, 141, 414, 135, 38, 307, 10, 58, 0, 6, 291, 32, 5, 4, 40},
{24, 14, 7, 0, 2, 1, 22, 28, 16, 65, 168, 124, 35, 67, 108, 109, 18, 49, 10, 149, 69, 158, 5, 95, 289, 12, 55, 6, 36, 71, 46, 21},
{26, 80, 27, 73, 122, 25, 19, 17, 6, 42, 684, 209, 445, 573, 667, 106, 45, 690, 4, 611, 255, 680, 297, 495, 65, 59, 128, 119, 483, 113, 64, 53},
{107, 259, 362, 376, 465, 20, 470, 147, 595, 534, 612, 683, 660, 43, 5, 49, 581, 0, 858, 35, 427, 246, 97, 786, 178, 356, 14, 21, 142, 878, 7, 279},
{131, 30, 228, 190, 856, 406, 224, 88, 219, 530, 863, 613, 778, 274, 944, 816, 187, 39, 100, 160, 258, 31, 44, 93, 1, 321, 539, 36, 871, 137, 435, 531},
{113, 6, 311, 25, 45, 491, 80, 611, 27, 26, 209, 667, 17, 73, 122, 42, 684, 396, 19, 85, 106, 5, 614, 4, 2, 255, 151, 29, 1, 64, 648, 61},
{15, 515, 700, 753, 0, 1, 23, 51, 120, 2, 13, 82, 5, 260, 9, 4, 341, 77, 180, 115, 141, 10, 7, 12, 450, 8, 202, 901, 197, 351, 165, 93},
{219, 127, 98, 258, 395, 421, 924, 293, 242, 201, 697, 105, 276, 51, 308, 23, 453, 272, 401, 944, 512, 137, 13, 31, 284, 567, 386, 365, 116, 131, 964, 125},
{15, 180, 352, 141, 515, 752, 217, 82, 1, 317, 854, 700, 351, 753, 115, 341, 110, 13, 260, 120, 21, 36, 33, 898, 23, 10, 5, 365, 4, 160, 901, 137},
{129, 123, 17, 257, 162, 184, 205, 249, 183, 769, 5, 80, 3, 4, 229, 130, 119, 45, 90, 99, 618, 106, 57, 497, 12, 128, 2, 84, 59, 152, 27, 40},
{33, 102, 23, 77, 64, 128, 51, 13, 0, 202, 10, 141, 40, 15, 1, 22, 117, 137, 2, 86, 4, 403, 269, 153, 515, 196, 65, 11, 700, 115, 99, 5},
{7, 14, 2, 16, 172, 107, 46, 92, 5, 135, 35, 202, 294, 87, 38, 232, 29, 97, 20, 21, 24, 1, 60, 220, 66, 43, 12, 0, 126, 52, 54, 70},
{403, 576, 615, 523, 475, 326, 805, 817, 494, 421, 51, 202, 120, 450, 137, 453, 23, 859, 260, 401, 402, 77, 33, 670, 0, 958, 15, 197, 386, 515, 165, 480},
{141, 352, 217, 137, 0, 180, 202, 349, 9, 269, 23, 51, 115, 291, 77, 372, 13, 317, 120, 752, 365, 351, 93, 22, 2, 341, 64, 10, 82, 854, 28, 18},
{1, 23, 13, 51, 202, 141, 5, 165, 21, 15, 120, 180, 64, 2, 197, 125, 33, 102, 12, 7, 137, 515, 48, 128, 269, 318, 93, 700, 0, 403, 9, 4},
{25, 151, 6, 145, 122, 29, 174, 45, 113, 74, 4, 665, 42, 138, 2, 614, 416, 287, 19, 348, 746, 0, 66, 26, 1, 7, 64, 243, 311, 396, 81, 624},
{30, 190, 254, 166, 100, 382, 731, 829, 88, 131, 264, 795, 9, 93, 625, 274, 438, 1, 578, 613, 716, 31, 44, 39, 530, 36, 616, 921, 265, 203, 160, 77},
{132, 5, 21, 13, 1, 23, 32, 195, 379, 687, 156, 121, 626, 296, 48, 70, 850, 146, 51, 82, 883, 771, 35, 49, 652, 407, 60, 4, 260, 0, 845, 33},
{9, 254, 0, 49, 272, 131, 39, 159, 688, 101, 105, 578, 518, 158, 286, 28, 327, 333, 68, 224, 252, 219, 344, 16, 22, 1, 716, 31, 30, 228, 24, 890},
{16, 7, 35, 60, 18, 20, 14, 68, 9, 0, 28, 118, 43, 92, 126, 55, 107, 2, 101, 154, 24, 71, 5, 202, 121, 109, 22, 252, 21, 97, 1, 621},
{15, 515, 700, 753, 13, 1, 341, 2, 0, 4, 3, 5, 11, 23, 10, 33, 117, 12, 901, 197, 6, 134, 77, 8, 165, 317, 21, 365, 217, 7, 17, 40},
{78, 19, 444, 47, 26, 390, 27, 453, 130, 813, 108, 730, 711, 65, 412, 122, 51, 680, 113, 235, 690, 196, 630, 283, 128, 236, 14, 64, 73, 53, 200, 445},
{2, 7, 29, 5, 61, 6, 45, 1, 66, 113, 112, 14, 52, 315, 738, 128, 32, 151, 74, 16, 20, 64, 70, 21, 592, 0, 25, 4, 425, 43, 491, 222},
{145, 112, 74, 66, 6, 29, 26, 70, 19, 396, 25, 87, 2, 287, 135, 151, 138, 222, 5, 226, 42, 122, 7, 307, 1, 644, 45, 58, 113, 651, 635, 632},
{92, 16, 7, 60, 126, 24, 140, 35, 14, 232, 18, 121, 246, 71, 46, 267, 172, 150, 107, 314, 132, 146, 230, 2, 278, 108, 330, 199, 236, 5, 38, 572},
{13, 115, 197, 538, 569, 341, 98, 55, 165, 127, 365, 762, 219, 286, 844, 23, 170, 206, 734, 638, 535, 901, 169, 253, 629, 0, 873, 509, 180, 10, 332, 258},
{58, 151, 74, 53, 287, 27, 29, 396, 6, 70, 2, 73, 5, 52, 112, 26, 651, 1, 297, 113, 17, 75, 19, 45, 334, 445, 145, 34, 315, 549, 436, 331},
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{9, 39, 28, 35, 30, 0, 166, 49, 1, 175, 439, 158, 64, 346, 36, 101, 67, 364, 86, 88, 274, 100, 168, 55, 23, 10, 420, 22, 190, 141, 505, 180},
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{120, 202, 77, 450, 260, 15, 128, 318, 102, 515, 494, 13, 817, 700, 269, 5, 403, 51, 1, 33, 23, 753, 82, 326, 141, 342, 291, 137, 21, 523, 351, 32},
{13, 115, 241, 64, 180, 32, 125, 197, 165, 4, 118, 22, 21, 23, 16, 247, 237, 28, 225, 191, 95, 141, 167, 5, 0, 341, 288, 35, 459, 18, 177, 24},
{16, 24, 35, 14, 1, 2, 7, 69, 18, 46, 60, 50, 267, 140, 71, 189, 108, 38, 75, 92, 0, 5, 9, 230, 67, 21, 309, 335, 54, 236, 394, 220},
{15, 515, 700, 753, 898, 180, 901, 341, 197, 638, 10, 165, 33, 1, 115, 4, 77, 365, 317, 13, 102, 217, 117, 0, 5, 2, 253, 3, 82, 569, 21, 752},
{193, 523, 18, 84, 56, 730, 233, 65, 4, 817, 90, 33, 643, 403, 91, 511, 453, 240, 59, 11, 214, 51, 719, 196, 153, 475, 32, 123, 64, 847, 102, 561},
{112, 29, 151, 2, 74, 6, 66, 7, 222, 145, 287, 45, 5, 624, 52, 25, 113, 416, 58, 122, 19, 70, 186, 204, 4, 87, 644, 549, 337, 884, 32, 0},
{13, 0, 23, 2, 1, 15, 33, 3, 77, 515, 141, 5, 4, 217, 10, 51, 64, 180, 700, 115, 6, 117, 11, 7, 753, 40, 102, 165, 197, 22, 317, 153},
{28, 0, 1, 67, 65, 9, 2, 114, 83, 69, 103, 50, 36, 22, 55, 24, 46, 14, 124, 109, 35, 7, 16, 38, 133, 160, 389, 323, 18, 12, 154, 5},
{121, 132, 18, 167, 271, 146, 101, 363, 621, 9, 411, 647, 16, 354, 520, 60, 212, 932, 1, 806, 55, 0, 195, 446, 68, 35, 31, 364, 777, 252, 407, 118},
{26, 6, 85, 396, 122, 624, 25, 19, 42, 445, 64, 648, 573, 416, 174, 680, 665, 214, 45, 348, 90, 65, 194, 145, 113, 881, 138, 289, 112, 436, 297, 544},
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{51, 13, 23, 453, 475, 730, 719, 15, 457, 403, 64, 115, 33, 95, 4, 523, 3, 12, 21, 6, 899, 102, 5, 128, 401, 202, 11, 141, 308, 515, 22, 125},
{151, 396, 6, 53, 27, 113, 58, 26, 73, 112, 74, 287, 45, 29, 297, 19, 145, 70, 138, 445, 315, 436, 34, 2, 17, 573, 5, 61, 549, 491, 1, 80},
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{16, 60, 92, 35, 126, 121, 7, 150, 246, 18, 107, 1, 598, 24, 167, 195, 14, 97, 71, 279, 98, 441, 191, 199, 517, 146, 356, 223, 298, 271, 230, 0},
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{1, 5, 2, 0, 12, 22, 21, 36, 10, 14, 48, 86, 23, 13, 32, 54, 3, 4, 28, 65, 51, 50, 137, 37, 208, 114, 9, 38, 17, 7, 281, 202},
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{1, 22, 0, 36, 2, 31, 5, 12, 13, 105, 28, 9, 49, 86, 141, 21, 23, 95, 128, 55, 44, 115, 170, 10, 164, 98, 180, 4, 137, 239, 83, 51},
{100, 101, 88, 0, 252, 9, 265, 30, 21, 39, 759, 724, 213, 329, 321, 13, 419, 68, 562, 382, 676, 352, 694, 35, 553, 410, 1, 166, 909, 593, 230, 23},
{539, 88, 30, 190, 321, 530, 840, 144, 669, 435, 957, 748, 778, 100, 96, 418, 203, 213, 1, 131, 410, 228, 466, 274, 36, 382, 219, 863, 613, 83, 822, 352},
{7, 97, 92, 173, 298, 107, 43, 314, 232, 140, 16, 356, 20, 387, 729, 362, 126, 359, 246, 14, 230, 501, 426, 441, 0, 5, 560, 66, 104, 779, 35, 60},
{2, 14, 7, 1, 58, 5, 46, 16, 38, 70, 75, 45, 24, 155, 29, 0, 21, 52, 61, 163, 220, 50, 69, 270, 35, 48, 32, 171, 18, 6, 64, 54},
{447, 411, 363, 664, 647, 98, 621, 1, 354, 271, 223, 478, 18, 777, 781, 936, 360, 759, 167, 132, 121, 48, 21, 156, 9, 195, 118, 293, 23, 691, 13, 264},
{2, 1, 14, 65, 36, 67, 0, 7, 46, 22, 69, 5, 38, 24, 28, 6, 83, 29, 86, 114, 168, 50, 124, 208, 12, 18, 108, 10, 194, 484, 103, 16},
{421, 386, 51, 791, 730, 958, 165, 801, 23, 453, 697, 403, 615, 13, 221, 523, 24, 899, 401, 326, 551, 670, 576, 102, 18, 33, 125, 77, 566, 115, 203, 197},
{104, 319, 422, 945, 0, 81, 20, 43, 715, 32, 784, 693, 879, 7, 397, 74, 306, 207, 52, 681, 671, 2, 61, 173, 6, 636, 904, 95, 887, 5, 18, 192},
{2, 29, 1, 46, 14, 52, 70, 262, 6, 26, 50, 67, 75, 96, 309, 38, 103, 112, 58, 19, 5, 163, 145, 83, 74, 220, 223, 357, 24, 69, 331, 25},
{786, 929, 590, 771, 687, 626, 941, 178, 465, 259, 70, 5, 13, 21, 35, 534, 107, 518, 132, 49, 878, 48, 146, 121, 379, 279, 31, 767, 147, 195, 108, 125},
{5, 2, 186, 45, 17, 29, 48, 50, 14, 61, 46, 155, 400, 1, 227, 171, 52, 58, 38, 54, 430, 209, 80, 281, 3, 106, 536, 311, 181, 243, 21, 502},
{0, 32, 64, 95, 817, 494, 342, 403, 207, 202, 194, 389, 453, 365, 312, 180, 316, 5, 690, 237, 848, 577, 450, 61, 102, 523, 475, 289, 49, 241, 65, 482},
{23, 13, 51, 15, 202, 515, 1, 0, 2, 12, 115, 4, 700, 5, 165, 753, 77, 457, 21, 141, 128, 10, 3, 64, 403, 32, 197, 318, 9, 11, 33, 117},
{119, 2, 6, 76, 5, 17, 45, 292, 306, 240, 32, 1, 19, 84, 64, 61, 4, 209, 710, 80, 26, 0, 106, 27, 214, 25, 128, 129, 29, 179, 3, 113},
{15, 515, 700, 1, 753, 0, 13, 23, 180, 120, 51, 2, 5, 33, 165, 197, 9, 450, 7, 260, 115, 523, 4, 12, 202, 141, 82, 77, 21, 102, 8, 6},
{6, 138, 74, 280, 222, 85, 66, 226, 25, 42, 87, 204, 64, 337, 29, 135, 95, 174, 235, 26, 145, 65, 19, 32, 792, 294, 112, 52, 256, 2, 5, 22},
{39, 9, 0, 101, 333, 158, 49, 252, 310, 254, 272, 68, 16, 18, 159, 286, 344, 455, 30, 109, 627, 327, 24, 105, 419, 100, 364, 22, 35, 1, 329, 709},
{21, 5, 32, 14, 2, 1, 38, 72, 76, 54, 17, 3, 48, 221, 270, 0, 45, 46, 12, 181, 37, 89, 36, 50, 540, 290, 430, 10, 4, 741, 99, 23},
{120, 137, 202, 269, 141, 260, 318, 450, 922, 494, 77, 291, 82, 15, 5, 351, 128, 1, 515, 326, 64, 854, 700, 352, 342, 21, 753, 678, 349, 32, 523, 90},
{16, 24, 68, 35, 71, 18, 149, 118, 191, 167, 9, 0, 212, 124, 65, 246, 7, 67, 140, 189, 399, 101, 133, 60, 1, 108, 267, 114, 69, 92, 695, 154},
{28, 0, 9, 67, 1, 22, 109, 36, 55, 65, 194, 114, 39, 83, 49, 69, 2, 35, 103, 50, 158, 208, 86, 420, 168, 289, 505, 24, 7, 185, 5, 323},
{147, 325, 198, 427, 142, 178, 202, 798, 5, 376, 20, 318, 259, 43, 120, 450, 77, 234, 534, 904, 470, 465, 878, 725, 329, 14, 315, 0, 260, 858, 70, 61},
{28, 0, 65, 9, 109, 1, 55, 67, 35, 22, 24, 39, 289, 7, 175, 14, 114, 2, 158, 124, 420, 194, 68, 16, 336, 36, 49, 69, 168, 570, 154, 505},
{141, 180, 13, 115, 1, 23, 4, 269, 2, 202, 0, 317, 217, 51, 15, 5, 21, 352, 77, 318, 3, 752, 197, 10, 165, 365, 137, 341, 9, 515, 33, 64},
{15, 515, 700, 0, 753, 1, 2, 13, 23, 9, 51, 5, 4, 901, 33, 7, 8, 3, 12, 93, 180, 120, 197, 6, 82, 341, 10, 141, 22, 260, 457, 115},
{6, 74, 66, 1, 25, 75, 324, 380, 278, 26, 138, 85, 135, 500, 87, 42, 220, 841, 97, 350, 29, 19, 70, 226, 38, 21, 52, 606, 235, 889, 2, 14},
{13, 23, 51, 12, 4, 15, 453, 0, 457, 1, 403, 165, 115, 3, 11, 2, 64, 5, 401, 10, 515, 37, 202, 33, 40, 32, 99, 475, 197, 700, 308, 17},
{788, 180, 5, 83, 693, 319, 314, 4, 32, 21, 17, 11, 817, 3, 510, 498, 33, 12, 24, 104, 814, 120, 64, 117, 306, 804, 523, 450, 288, 160, 102, 43},
{15, 1, 515, 13, 2, 700, 23, 0, 4, 753, 3, 341, 5, 51, 33, 11, 10, 6, 77, 7, 115, 102, 180, 165, 141, 9, 197, 217, 901, 40, 12, 64},
{101, 18, 9, 167, 520, 16, 0, 118, 60, 212, 604, 364, 694, 24, 55, 252, 68, 917, 264, 35, 1, 121, 146, 363, 39, 100, 806, 5, 21, 166, 191, 28},
{13, 23, 0, 33, 51, 141, 77, 4, 64, 2, 115, 217, 9, 102, 7, 202, 21, 10, 180, 3, 15, 128, 5, 269, 6, 32, 11, 16, 165, 352, 22, 317},
{66, 135, 97, 74, 172, 6, 278, 7, 204, 324, 138, 174, 29, 85, 2, 87, 25, 140, 92, 192, 52, 38, 802, 69, 448, 500, 808, 620, 22, 1, 280, 232},
{2, 24, 69, 6, 97, 7, 1, 0, 14, 298, 423, 66, 67, 29, 150, 25, 189, 267, 124, 74, 607, 18, 36, 81, 172, 33, 83, 38, 52, 273, 71, 809},
{0, 9, 158, 39, 68, 49, 109, 16, 24, 333, 35, 344, 101, 22, 159, 254, 272, 30, 124, 65, 28, 18, 793, 154, 310, 252, 327, 105, 627, 419, 286, 55},
{15, 515, 700, 10, 753, 33, 77, 180, 4, 341, 1, 197, 13, 115, 365, 23, 901, 317, 5, 102, 11, 217, 165, 117, 141, 40, 2, 3, 253, 21, 134, 55},
{100, 166, 382, 478, 265, 264, 88, 39, 98, 1, 404, 274, 9, 593, 724, 921, 639, 438, 363, 682, 411, 31, 30, 812, 96, 447, 821, 905, 252, 0, 223, 435},
{19, 283, 436, 53, 297, 26, 813, 432, 27, 128, 42, 25, 390, 503, 122, 736, 73, 123, 605, 63, 389, 529, 630, 250, 690, 65, 381, 444, 6, 269, 108, 216},
{33, 202, 13, 128, 494, 0, 51, 141, 269, 1, 4, 2, 102, 180, 15, 137, 65, 95, 6, 450, 77, 40, 117, 59, 457, 36, 196, 817, 134, 86, 49, 515},
{18, 16, 60, 68, 101, 167, 191, 118, 35, 121, 9, 212, 55, 0, 126, 1, 24, 647, 199, 146, 520, 107, 628, 621, 363, 71, 21, 28, 346, 92, 806, 727},
{352, 230, 217, 531, 160, 93, 36, 669, 748, 854, 689, 258, 137, 871, 728, 699, 752, 251, 574, 202, 373, 351, 228, 120, 717, 260, 144, 219, 268, 82, 816, 1},
{15, 515, 700, 753, 13, 23, 0, 51, 8, 1, 4, 82, 165, 77, 110, 33, 10, 180, 5, 202, 11, 22, 120, 12, 9, 197, 115, 93, 403, 141, 40, 351},
{0, 9, 101, 217, 35, 88, 352, 100, 39, 175, 30, 68, 562, 752, 13, 317, 252, 115, 180, 197, 64, 1, 83, 141, 65, 213, 165, 230, 194, 36, 28, 265},
{32, 64, 5, 470, 288, 90, 21, 147, 0, 95, 356, 22, 20, 519, 835, 312, 819, 18, 247, 182, 11, 97, 13, 4, 387, 49, 43, 298, 316, 48, 107, 7},
{16, 14, 24, 1, 7, 2, 35, 0, 5, 50, 18, 69, 46, 12, 58, 75, 9, 67, 70, 163, 21, 54, 38, 48, 223, 502, 281, 37, 140, 60, 28, 10},
{18, 265, 9, 252, 39, 195, 354, 411, 1, 16, 132, 101, 121, 682, 167, 203, 5, 363, 146, 593, 35, 333, 21, 271, 60, 13, 100, 0, 156, 327, 7, 520},
{4, 13, 1, 115, 141, 23, 2, 180, 5, 0, 51, 3, 217, 202, 77, 15, 33, 269, 341, 318, 317, 21, 165, 515, 11, 10, 197, 365, 9, 137, 64, 352},
{7, 24, 16, 14, 71, 35, 18, 92, 140, 189, 108, 149, 68, 60, 69, 150, 2, 230, 97, 66, 0, 458, 67, 1, 65, 251, 38, 314, 388, 267, 36, 46},
{1, 22, 31, 36, 0, 2, 44, 5, 141, 105, 180, 170, 12, 64, 13, 98, 86, 55, 23, 21, 28, 164, 115, 127, 10, 125, 128, 4, 9, 239, 352, 197},
{66, 7, 97, 2, 192, 20, 52, 43, 135, 74, 560, 107, 104, 0, 750, 147, 414, 29, 580, 173, 324, 376, 226, 194, 77, 174, 204, 38, 356, 64, 16, 470},
{0, 101, 9, 68, 35, 124, 24, 65, 39, 16, 252, 100, 154, 166, 28, 364, 149, 694, 30, 88, 55, 346, 1, 419, 71, 439, 265, 289, 22, 21, 175, 158},
{39, 9, 100, 30, 127, 0, 737, 856, 31, 836, 827, 254, 98, 931, 166, 88, 93, 1, 44, 190, 131, 228, 120, 395, 625, 385, 863, 264, 219, 373, 110, 28},
{5, 17, 2, 3, 21, 45, 14, 155, 48, 32, 38, 1, 328, 181, 186, 46, 23, 51, 12, 61, 227, 29, 106, 54, 99, 133, 62, 832, 13, 37, 514, 543},
{131, 613, 30, 224, 228, 716, 274, 100, 827, 406, 219, 856, 39, 190, 31, 88, 1, 166, 9, 44, 829, 863, 931, 93, 0, 187, 625, 924, 127, 98, 137, 254},
{352, 217, 64, 141, 752, 269, 180, 864, 437, 372, 954, 115, 498, 177, 77, 349, 317, 318, 579, 291, 947, 197, 247, 0, 23, 717, 237, 304, 128, 457, 776, 678},
{141, 217, 180, 317, 352, 115, 15, 341, 1, 23, 13, 365, 515, 752, 2, 64, 0, 5, 498, 700, 372, 165, 51, 237, 753, 77, 244, 197, 137, 4, 21, 253},
{5, 2, 17, 14, 1, 45, 3, 38, 21, 29, 181, 58, 46, 48, 50, 133, 114, 171, 61, 155, 32, 6, 186, 281, 361, 12, 36, 54, 4, 13, 52, 514},
{6, 2, 119, 25, 790, 4, 45, 483, 655, 113, 1, 29, 76, 26, 32, 19, 887, 17, 128, 0, 292, 833, 59, 61, 106, 64, 77, 814, 14, 151, 84, 42},
{13, 23, 2, 0, 51, 4, 1, 115, 141, 3, 5, 180, 33, 217, 77, 9, 202, 11, 7, 15, 10, 6, 317, 64, 21, 197, 515, 165, 102, 128, 22, 269},
{13, 23, 51, 202, 21, 5, 1, 15, 141, 165, 120, 2, 115, 12, 32, 0, 515, 128, 318, 64, 125, 700, 4, 403, 197, 453, 180, 457, 3, 7, 10, 6},
{9, 39, 31, 30, 0, 127, 1, 44, 100, 131, 98, 187, 385, 276, 88, 442, 219, 908, 254, 116, 49, 166, 935, 28, 201, 36, 141, 827, 137, 299, 284, 21},
{22, 49, 28, 109, 9, 185, 105, 95, 1, 131, 159, 272, 36, 67, 86, 254, 39, 55, 35, 0, 505, 31, 83, 169, 208, 327, 286, 98, 168, 535, 312, 708},
{5, 1, 2, 21, 0, 12, 48, 22, 10, 14, 36, 3, 32, 17, 23, 54, 86, 38, 4, 51, 13, 37, 137, 50, 65, 281, 114, 45, 28, 99, 58, 202},
{141, 269, 352, 82, 217, 351, 180, 854, 372, 922, 752, 1, 15, 260, 317, 318, 515, 202, 64, 700, 120, 349, 954, 753, 77, 35, 67, 717, 898, 137, 365, 115},
{144, 203, 613, 418, 326, 406, 96, 669, 137, 679, 1, 228, 494, 822, 840, 317, 36, 83, 855, 160, 817, 859, 856, 816, 217, 831, 345, 93, 876, 77, 44, 251},
{15, 13, 515, 23, 700, 753, 51, 1, 33, 0, 202, 21, 2, 5, 180, 141, 120, 165, 217, 82, 12, 117, 4, 352, 269, 197, 115, 32, 3, 9, 134, 260},
{13, 23, 115, 1, 0, 51, 4, 77, 2, 33, 15, 141, 10, 5, 341, 180, 515, 3, 217, 202, 9, 365, 317, 64, 700, 102, 11, 165, 197, 22, 753, 7},
{531, 943, 373, 160, 728, 93, 206, 260, 261, 559, 964, 269, 717, 535, 332, 384,
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{1, 31, 36, 170, 22, 55, 44, 10, 86, 64, 127, 0, 2, 98, 301, 164, 740, 338, 237, 143, 5, 125, 116, 13, 242, 141, 299, 180, 23, 169, 105, 12},
{13, 23, 141, 77, 51, 4, 64, 32, 33, 202, 115, 269, 102, 128, 21, 0, 177, 180, 318, 90, 40, 10, 7, 5, 137, 15, 217, 352, 9, 291, 59, 22},
{202, 120, 260, 318, 77, 15, 450, 269, 1, 82, 33, 23, 141, 13, 51, 515, 351, 128, 700, 5, 64, 326, 137, 21, 102, 110, 753, 494, 93, 523, 817, 165},
{523, 899, 102, 33, 730, 15, 23, 403, 719, 117, 153, 13, 515, 51, 475, 4, 700, 5, 453, 817, 196, 753, 494, 40, 202, 120, 1, 2, 450, 457, 17, 421},
{202, 403, 494, 450, 120, 817, 523, 475, 318, 453, 33, 402, 128, 77, 13, 51, 260, 576, 342, 102, 15, 23, 515, 4, 700, 5, 82, 753, 326, 210, 137, 615},
{2, 29, 112, 66, 7, 52, 70, 151, 58, 87, 135, 5, 74, 226, 307, 6, 14, 186, 1, 45, 549, 172, 644, 25, 113, 287, 46, 155, 334, 64, 294, 97},
{1, 77, 349, 291, 260, 120, 652, 102, 5, 39, 64, 269, 9, 33, 340, 342, 13, 98, 888, 698, 23, 296, 100, 318, 51, 202, 87, 137, 638, 128, 50, 850},
{1, 13, 15, 2, 0, 4, 23, 515, 5, 141, 180, 3, 700, 341, 115, 51, 753, 269, 77, 901, 197, 352, 217, 33, 21, 11, 365, 6, 165, 202, 7, 317},
{7, 14, 16, 2, 46, 5, 70, 58, 1, 38, 24, 35, 92, 163, 0, 75, 21, 18, 50, 54, 140, 12, 87, 220, 155, 69, 171, 23, 60, 9, 13, 307},
{2, 29, 66, 226, 135, 7, 87, 74, 52, 278, 6, 75, 222, 220, 294, 70, 97, 1, 145, 25, 172, 262, 324, 38, 69, 112, 331, 92, 5, 14, 140, 26},
{15, 515, 700, 753, 33, 77, 117, 4, 1, 102, 134, 40, 153, 11, 13, 196, 217, 21, 5, 51, 23, 115, 32, 3, 2, 202, 141, 137, 128, 291, 48, 177},
{15, 217, 82, 515, 351, 141, 317, 1, 13, 700, 260, 77, 110, 120, 115, 854, 23, 753, 180, 51, 21, 36, 137, 922, 5, 64, 365, 352, 291, 202, 93, 341},
{31, 190, 30, 373, 120, 110, 863, 88, 44, 127, 908, 856, 260, 318, 82, 98, 93, 187, 836, 717, 935, 39, 442, 131, 141, 254, 228, 219, 1, 968, 77, 116},
{23, 13, 308, 9, 165, 115, 51, 21, 401, 125, 49, 39, 197, 391, 159, 254, 217, 743, 28, 438, 773, 629, 558, 386, 341, 95, 32, 317, 876, 679, 109, 166},
{49, 5, 43, 165, 7, 0, 21, 104, 125, 22, 173, 422, 64, 13, 623, 102, 20, 18, 314, 95, 91, 141, 23, 31, 193, 51, 391, 900, 779, 558, 92, 232},
{1, 4, 13, 2, 15, 0, 23, 515, 77, 3, 341, 33, 5, 700, 115, 51, 202, 753, 141, 180, 11, 10, 102, 217, 6, 901, 40, 7, 197, 318, 317, 365},
{93, 843, 295, 120, 36, 160, 206, 261, 10, 137, 567, 110, 384, 141, 943, 268, 201, 332, 258, 55, 1, 180, 64, 116, 44, 144, 699, 203, 282, 31, 260, 373},
{81, 7, 192, 426, 43, 173, 172, 104, 879, 91, 5, 712, 715, 526, 6, 97, 568, 95, 448, 66, 33, 861, 560, 32, 49, 20, 0, 636, 232, 825, 2, 22},
{475, 403, 51, 453, 33, 102, 13, 23, 494, 202, 0, 196, 15, 77, 153, 18, 4, 117, 515, 450, 318, 22, 730, 128, 700, 421, 65, 753, 269, 402, 134, 817},
{141, 269, 260, 318, 202, 120, 352, 349, 82, 351, 1, 5, 854, 137, 64, 291, 15, 922, 180, 851, 32, 77, 515, 372, 21, 700, 7, 217, 13, 947, 33, 753},
{15, 515, 700, 753, 1, 13, 0, 2, 4, 23, 3, 5, 180, 115, 197, 12, 51, 165, 217, 10, 961, 9, 6, 141, 352, 21, 8, 7, 33, 77, 457, 120},
{39, 166, 9, 30, 0, 101, 274, 404, 252, 333, 190, 100, 158, 438, 310, 88, 68, 265, 656, 21, 1, 530, 329, 344, 49, 539, 625, 254, 13, 131, 48, 419},
{0, 1, 28, 9, 22, 12, 65, 83, 67, 36, 5, 2, 50, 55, 96, 109, 16, 13, 24, 23, 21, 238, 49, 18, 285, 160, 128, 39, 69, 114, 7, 323},
{15, 515, 700, 1, 0, 753, 23, 2, 13, 51, 5, 180, 115, 6, 3, 9, 197, 12, 457, 120, 7, 165, 901, 82, 4, 21, 8, 141, 31, 33, 719, 341},
{9, 39, 30, 0, 28, 166, 22, 49, 180, 1, 352, 35, 317, 158, 88, 141, 498, 131, 115, 345, 752, 128, 228, 217, 100, 83, 219, 930, 13, 251, 365, 36},
{5, 61, 45, 2, 80, 29, 311, 209, 6, 17, 58, 1, 151, 106, 454, 667, 243, 70, 52, 496, 287, 592, 255, 738, 64, 74, 483, 14, 27, 32, 112, 19},
{31, 125, 22, 44, 299, 456, 685, 242, 599, 116, 170, 28, 0, 1, 492, 393, 506, 144, 558, 10, 268, 301, 239, 23, 13, 36, 963, 367, 55, 206, 105, 95},
{187, 258, 926, 574, 839, 93, 228, 860, 406, 219, 871, 160, 137, 531, 224, 116, 120, 902, 669, 201, 36, 131, 44, 144, 843, 533, 318, 384, 442, 1, 434, 268},
{7, 107, 75, 16, 87, 9, 64, 177, 24, 18, 291, 77, 349, 141, 60, 232, 23, 0, 51, 269, 132, 14, 5, 21, 70, 32, 678, 112, 126, 121, 71, 947},
{15, 515, 700, 753, 1, 0, 2, 13, 5, 3, 23, 180, 4, 115, 901, 51, 6, 8, 961, 9, 7, 10, 12, 82, 197, 22, 141, 341, 33, 120, 365, 457},
{13, 23, 51, 1, 5, 202, 2, 12, 15, 21, 165, 141, 0, 115, 3, 4, 32, 515, 197, 10, 180, 318, 128, 120, 64, 700, 6, 7, 403, 269, 457, 137},
{1, 2, 0, 77, 64, 3, 141, 13, 33, 15, 23, 10, 6, 102, 5, 515, 180, 4, 117, 7, 700, 165, 11, 217, 269, 40, 753, 115, 128, 17, 197, 134},
{345, 531, 332, 269, 260, 317, 717, 752, 373, 351, 180, 352, 728, 82, 10, 365, 160, 533, 217, 143, 498, 251, 244, 93, 341, 901, 36, 1, 141, 898, 55, 864},
{16, 7, 33, 189, 92, 77, 388, 60, 140, 35, 102, 24, 14, 1, 230, 21, 150, 117, 733, 314, 18, 915, 71, 13, 108, 134, 5, 64, 69, 2, 98, 22},
{142, 202, 234, 178, 5, 786, 77, 49, 70, 0, 416, 450, 639, 878, 1, 48, 21, 929, 147, 259, 315, 455, 198, 120, 12, 481, 163, 113, 846, 329, 318, 22},
{81, 715, 192, 0, 173, 712, 681, 104, 636, 91, 74, 20, 750, 370, 7, 718, 95, 879, 22, 43, 825, 560, 422, 64, 207, 49, 172, 18, 397, 10, 426, 319},
{13, 23, 15, 51, 515, 0, 700, 753, 4, 1, 961, 2, 10, 115, 457, 11, 33, 453, 3, 5, 9, 40, 12, 197, 165, 77, 401, 475, 64, 102, 22, 569},
{64, 297, 5, 445, 95, 61, 250, 311, 80, 34, 17, 312, 45, 2, 86, 472, 58, 14, 180, 53, 22, 151, 869, 738, 247, 237, 29, 1, 128, 165, 21, 288},
{16, 24, 18, 71, 7, 35, 118, 92, 14, 154, 60, 68, 0, 149, 28, 302, 124, 150, 55, 175, 2, 9, 97, 1, 429, 20, 108, 273, 22, 65, 43, 126},
{195, 360, 156, 771, 132, 163, 626, 687, 591, 371, 883, 146, 121, 846, 70, 586, 379, 13, 293, 98, 407, 48, 761, 296, 354, 18, 31, 1, 55, 49, 21, 105},
{202, 13, 77, 23, 318, 33, 51, 0, 4, 141, 5, 21, 217, 32, 291, 102, 64, 128, 15, 10, 9, 494, 269, 137, 515, 403, 1, 31, 117, 700, 120, 317},
{7, 192, 97, 81, 172, 66, 426, 173, 43, 715, 712, 232, 861, 879, 104, 330, 568, 298, 74, 893, 885, 526, 387, 825, 92, 140, 91, 14, 636, 6, 5, 448},
{2, 1, 14, 6, 67, 7, 65, 69, 24, 36, 66, 124, 108, 83, 38, 29, 22, 86, 0, 18, 484, 5, 28, 46, 12, 10, 25, 302, 150, 16, 650, 74},
{33, 77, 13, 202, 102, 4, 0, 23, 128, 51, 141, 64, 318, 22, 403, 269, 137, 10, 15, 40, 494, 117, 32, 59, 11, 153, 1, 21, 177, 196, 515, 115},
{269, 141, 318, 77, 349, 291, 217, 202, 33, 15, 372, 304, 515, 22, 102, 177, 351, 700, 352, 120, 5, 137, 10, 317, 260, 753, 64, 851, 854, 403, 49, 21},
{6, 74, 66, 85, 138, 25, 87, 42, 135, 26, 226, 222, 280, 29, 75, 500, 220, 278, 792, 70, 19, 2, 1, 294, 204, 64, 32, 145, 853, 112, 52, 174},
{9, 0, 105, 39, 16, 18, 1, 101, 272, 31, 127, 98, 24, 518, 333, 252, 310, 28, 68, 737, 846, 371, 158, 916, 938, 49, 30, 7, 286, 35, 301, 455},
{2, 1, 14, 67, 24, 46, 83, 108, 69, 29, 38, 103, 114, 36, 6, 133, 18, 0, 28, 7, 65, 52, 236, 75, 50, 398, 5, 309, 135, 16, 278, 160},
{22, 1, 28, 105, 49, 95, 0, 2, 67, 55, 36, 239, 168, 159, 65, 35, 14, 170, 320, 164, 9, 7, 10, 5, 114, 12, 83, 64, 194, 109, 24, 301},
{7, 66, 172, 97, 92, 140, 232, 568, 298, 14, 192, 314, 16, 380, 135, 324, 2, 330, 74, 38, 357, 448, 126, 69, 35, 5, 107, 6, 387, 60, 204, 572},
{2, 29, 1, 14, 5, 6, 46, 133, 114, 50, 52, 26, 218, 108, 19, 13, 366, 236, 27, 45, 70, 17, 58, 23, 86, 51, 137, 65, 112, 38, 25, 12},
{6, 1, 74, 25, 2, 26, 29, 66, 42, 19, 75, 14, 388, 67, 108, 70, 52, 85, 103, 65, 38, 138, 357, 133, 114, 594, 324, 516, 603, 96, 309, 69},
{22, 9, 28, 1, 36, 49, 109, 105, 86, 95, 131, 31, 169, 39, 0, 141, 272, 159, 44, 55, 98, 180, 13, 30, 185, 115, 83, 128, 352, 137, 64, 208},
{203, 822, 326, 23, 77, 859, 403, 494, 576, 39, 473, 182, 33, 1, 691, 100, 18, 217, 13, 817, 411, 447, 363, 102, 93, 966, 96, 478, 291, 704, 310, 120},
{15, 515, 700, 753, 33, 77, 117, 4, 102, 134, 115, 153, 13, 1, 40, 217, 11, 196, 341, 2, 5, 3, 23, 317, 365, 0, 21, 291, 32, 51, 12, 569},
{15, 515, 700, 753, 13, 0, 23, 1, 8, 82, 51, 165, 197, 120, 180, 2, 9, 33, 4, 110, 5, 12, 10, 260, 351, 386, 141, 7, 457, 475, 93, 901},
{1, 23, 13, 15, 51, 0, 21, 2, 515, 5, 141, 180, 120, 165, 700, 202, 197, 4, 753, 12, 33, 9, 7, 82, 115, 93, 3, 352, 260, 6, 110, 48},
{15, 515, 700, 753, 0, 1, 2, 5, 3, 4, 8, 13, 180, 341, 10, 23, 7, 6, 9, 51, 77, 197, 961, 115, 165, 82, 120, 31, 22, 202, 457, 217},
{559, 661, 922, 564, 141, 533, 10, 317, 373, 110, 143, 269, 244, 260, 332, 261,
93, 642, 752, 295, 351, 876, 531, 843, 180, 206, 728, 384, 352, 1, 434, 120},
{15, 515, 1, 0, 700, 2, 13, 23, 753, 5, 51, 180, 3, 165, 12, 6, 197, 115, 4, 9, 7, 21, 719, 8, 457, 82, 141, 120, 33, 22, 901, 10},
{198, 234, 0, 325, 5, 77, 202, 416, 20, 147, 32, 43, 639, 315, 49, 61, 450, 455, 142, 21, 113, 230, 22, 318, 725, 342, 207, 13, 95, 904, 494, 10},
{447, 264, 363, 9, 411, 676, 682, 1, 156, 664, 821, 478, 166, 354, 812, 39, 100, 905, 382, 897, 98, 18, 759, 404, 31, 101, 724, 5, 265, 223, 88, 13},
{24, 14, 69, 16, 35, 18, 2, 7, 108, 189, 71, 67, 267, 149, 1, 46, 68, 83, 38, 140, 0, 236, 251, 9, 388, 60, 133, 103, 65, 28, 29, 50},
{16, 7, 35, 20, 14, 18, 109, 2, 43, 120, 107, 60, 1, 121, 326, 907, 553, 77, 13, 147, 23, 82, 68, 260, 0, 403, 5, 24, 202, 126, 265, 199},
{30, 131, 187, 276, 31, 44, 613, 442, 39, 9, 190, 228, 1, 839, 116, 935, 908, 219, 127, 88, 244, 224, 110, 137, 93, 201, 98, 141, 36, 567, 0, 856},
{98, 223, 1, 393, 812, 265, 100, 421, 593, 834, 697, 48, 51, 410, 791, 382, 21, 88, 31, 284, 9, 125, 96, 293, 230, 23, 213, 217, 656, 689, 541, 5},
{98, 51, 127, 219, 616, 258, 105, 293, 395, 421, 924, 512, 31, 308, 23, 201, 116, 44, 301, 272, 763, 276, 125, 13, 453, 170, 401, 295, 261, 944, 115, 567},
{253, 110, 951, 352, 811, 206, 332, 180, 141, 244, 282, 10, 854, 417, 642, 638,
559, 752, 143, 911, 260, 55, 93, 533, 499, 498, 661, 120, 351, 959, 564, 341},
{49, 9, 159, 254, 272, 158, 0, 131, 28, 39, 627, 105, 327, 286, 22, 518, 688, 578, 68, 347, 374, 101, 224, 424, 95, 35, 219, 24, 16, 364, 65, 344},
{105, 22, 131, 272, 98, 286, 327, 109, 374, 239, 28, 95, 320, 219, 9, 224, 55, 127, 187, 36, 578, 169, 64, 185, 538, 1, 159, 10, 371, 634, 49, 616},
{691, 478, 340, 1, 658, 914, 724, 363, 744, 698, 156, 772, 411, 296, 682, 447, 9, 284, 335, 98, 264, 303, 909, 21, 354, 410, 225, 13, 664, 686, 88, 919},
{16, 24, 35, 18, 71, 7, 140, 108, 189, 267, 92, 60, 14, 230, 68, 69, 9, 1, 149, 46, 246, 191, 388, 167, 2, 0, 118, 236, 133, 21, 674, 5},
{9, 0, 127, 31, 98, 371, 395, 39, 737, 49, 1, 44, 385, 272, 512, 28, 293, 242, 836, 761, 254, 299, 101, 16, 187, 22, 116, 158, 159, 131, 18, 21},
{16, 18, 68, 0, 60, 35, 9, 101, 252, 28, 118, 24, 419, 55, 7, 109, 604, 71, 39, 121, 22, 364, 14, 158, 191, 167, 925, 126, 329, 21, 92, 49},
{116, 268, 203, 93, 206, 692, 551, 31, 417, 940, 499, 8, 473, 44, 202, 523, 959, 0, 120, 137, 559, 22, 450, 403, 576, 10, 728, 299, 13, 326, 51, 1},
{225, 459, 744, 1, 919, 914, 691, 330, 622, 21, 141, 223, 5, 284, 934, 335, 88, 538, 340, 82, 385, 839, 363, 120, 478, 98, 48, 30, 64, 32, 686, 166},
{5, 1, 2, 0, 14, 36, 21, 281, 12, 48, 50, 67, 22, 28, 54, 83, 24, 218, 38, 10, 181, 9, 32, 18, 65, 58, 45, 114, 430, 17, 99, 37},
{137, 450, 202, 704, 120, 260, 326, 318, 968, 269, 851, 403, 291, 77, 23, 141, 182, 310, 494, 373, 351, 457, 82, 890, 349, 110, 60, 128, 817, 678, 105, 96},
{15, 515, 700, 753, 4, 33, 13, 23, 77, 5, 40, 11, 102, 93, 1, 21, 110, 51, 82, 117, 141, 2, 10, 8, 32, 64, 120, 31, 202, 3, 217, 115},
{15, 13, 1, 23, 515, 0, 51, 2, 700, 5, 753, 21, 180, 141, 165, 3, 12, 115, 197, 4, 7, 6, 457, 9, 352, 202, 33, 8, 719, 120, 77, 341},
{219, 127, 258, 98, 276, 201, 131, 395, 944, 293, 116, 284, 567, 31, 242, 105, 137, 935, 295, 44, 403, 860, 51, 224, 576, 456, 9, 371, 578, 475, 202, 512},
{16, 7, 18, 35, 60, 0, 14, 20, 118, 28, 68, 22, 2, 24, 1, 92, 158, 107, 5, 49, 154, 126, 109, 12, 43, 10, 55, 6, 677, 71, 21, 168},
{93, 728, 531, 160, 559, 373, 574, 120, 295, 860, 533, 269, 717, 260, 926, 902,
258, 318, 36, 201, 261, 434, 851, 137, 617, 141, 187, 352, 843, 384, 332, 251},
{28, 0, 1, 9, 22, 109, 83, 39, 49, 12, 36, 67, 55, 5, 96, 2, 128, 30, 158, 69, 21, 23, 160, 208, 35, 13, 65, 323, 50, 141, 194, 238},
{23, 13, 51, 1, 5, 15, 141, 21, 0, 2, 165, 515, 202, 700, 12, 197, 180, 120, 32, 115, 4, 753, 64, 9, 7, 269, 6, 3, 125, 386, 48, 453},
{5, 21, 13, 49, 14, 20, 7, 23, 43, 32, 1, 0, 652, 48, 713, 22, 38, 2, 16, 132, 955, 107, 12, 279, 24, 888, 197, 640, 70, 303, 18, 638},
{9, 0, 28, 39, 1, 30, 35, 101, 22, 67, 83, 141, 49, 175, 36, 68, 55, 88, 13, 251, 10, 69, 23, 158, 180, 115, 64, 100, 217, 65, 345, 166},
{260, 120, 82, 269, 5, 450, 351, 1, 202, 141, 854, 13, 77, 922, 32, 33, 137, 4, 23, 125, 291, 21, 15, 515, 165, 349, 177, 700, 318, 326, 180, 753},
{121, 16, 18, 35, 363, 101, 60, 20, 107, 14, 68, 259, 621, 55, 604, 43, 7, 252, 9, 364, 126, 0, 167, 191, 5, 407, 132, 28, 199, 419, 146, 10},
{13, 23, 51, 1, 15, 0, 2, 141, 5, 515, 12, 21, 700, 115, 165, 180, 4, 753, 3, 197, 202, 32, 9, 120, 7, 8, 6, 11, 37, 10, 457, 269},
{201, 144, 206, 443, 418, 203, 435, 96, 335, 459, 187, 1, 88, 332, 330, 321, 269, 934, 30, 372, 822, 521, 268, 326, 44, 523, 382, 141, 410, 264, 494, 473},
{31, 44, 276, 201, 116, 131, 284, 662, 567, 144, 9, 489, 98, 295, 268, 434, 0, 30, 137, 39, 93, 1, 187, 22, 219, 918, 110, 299, 141, 36, 224, 384},
{520, 478, 664, 1, 264, 604, 9, 167, 777, 759, 411, 0, 806, 724, 48, 21, 101, 68, 647, 936, 363, 223, 118, 682, 410, 18, 100, 16, 252, 98, 265, 13},
{23, 70, 21, 87, 60, 75, 120, 182, 163, 379, 92, 18, 7, 937, 71, 121, 446, 132, 24, 98, 931, 126, 107, 77, 795, 195, 115, 44, 411, 146, 51, 850},
{39, 9, 0, 737, 127, 31, 846, 98, 1, 827, 105, 310, 371, 30, 254, 100, 44, 18, 395, 242, 272, 101, 385, 916, 836, 16, 265, 131, 938, 93, 166, 557},
{279, 20, 43, 126, 107, 7, 92, 16, 356, 362, 60, 595, 246, 359, 598, 35, 0, 683, 939, 653, 121, 97, 125, 441, 399, 392, 150, 199, 48, 230, 14, 649},
{206, 417, 93, 959, 499, 728, 8, 559, 120, 473, 137, 141, 10, 564, 31, 260, 44, 450, 203, 341, 253, 244, 373, 116, 143, 638, 268, 180, 352, 110, 318, 940},
{259, 465, 147, 132, 590, 687, 534, 199, 581, 146, 941, 427, 107, 640, 279, 178, 121, 5, 195, 150, 522, 955, 198, 35, 786, 929, 798, 142, 1, 21, 325, 626},
{523, 15, 120, 450, 202, 515, 403, 51, 817, 700, 13, 753, 23, 457, 33, 899, 128, 64, 730, 102, 494, 342, 115, 719, 453, 196, 49, 99, 318, 421, 308, 5},
{141, 559, 10, 244, 365, 564, 661, 180, 253, 143, 752, 110, 55, 317, 533, 341, 901, 93, 373, 206, 535, 160, 82, 922, 260, 36, 531, 964, 352, 332, 261, 197},
{219, 258, 98, 127, 276, 964, 943, 137, 843, 535, 201, 935, 131, 860, 261, 295, 284, 567, 206, 44, 116, 31, 253, 492, 203, 332, 160, 615, 36, 93, 55, 692},
{0, 319, 422, 207, 945, 693, 577, 887, 32, 804, 95, 344, 104, 904, 61, 20, 5, 43, 7, 725, 113, 510, 306, 102, 49, 263, 153, 426, 33, 83, 22, 9},
{1, 22, 0, 5, 12, 2, 36, 21, 28, 86, 49, 105, 9, 10, 23, 13, 141, 95, 31, 55, 128, 37, 51, 4, 83, 202, 3, 64, 96, 7, 32, 44},
{15, 515, 13, 700, 1, 0, 753, 2, 23, 3, 4, 5, 51, 10, 115, 197, 6, 33, 12, 9, 165, 7, 8, 77, 11, 961, 180, 269, 141, 22, 120, 457},
{15, 1, 23, 120, 77, 13, 515, 51, 141, 202, 700, 180, 110, 137, 260, 753, 326, 5, 128, 102, 0, 21, 2, 165, 269, 33, 197, 450, 318, 217, 93, 115},
{15, 515, 1, 700, 0, 753, 13, 2, 23, 180, 51, 5, 120, 4, 9, 115, 197, 12, 7, 165, 21, 33, 6, 82, 3, 8, 523, 901, 31, 141, 457, 260},
{16, 18, 24, 7, 92, 35, 60, 75, 9, 13, 71, 14, 0, 108, 50, 21, 126, 121, 1, 140, 23, 5, 132, 146, 2, 12, 128, 10, 64, 141, 70, 87},
{180, 341, 901, 15, 515, 1, 365, 700, 0, 2, 197, 753, 115, 4, 10, 13, 752, 5, 3, 8, 165, 317, 141, 23, 143, 873, 44, 31, 569, 55, 93, 6},
{9, 0, 175, 35, 101, 28, 39, 67, 68, 1, 65, 83, 30, 69, 364, 336, 22, 114, 55, 124, 194, 158, 100, 289, 252, 166, 64, 345, 103, 36, 50, 88},
{64, 165, 180, 197, 115, 247, 217, 237, 21, 13, 32, 316, 22, 141, 352, 72, 288, 304, 95, 225, 76, 391, 386, 16, 468, 90, 49, 35, 365, 640, 372, 23},
{15, 515, 700, 13, 753, 1, 0, 2, 23, 4, 5, 3, 115, 51, 141, 197, 12, 10, 180, 961, 7, 9, 21, 33, 217, 6, 8, 165, 457, 11, 77, 341},
{132, 121, 199, 146, 60, 279, 493, 640, 407, 598, 126, 195, 534, 581, 955, 590, 107, 5, 150, 35, 522, 49, 259, 16, 18, 360, 156, 0, 147, 362, 21, 167},
{0, 1, 28, 9, 22, 5, 36, 12, 65, 24, 67, 96, 2, 83, 18, 50, 114, 55, 21, 16, 7, 10, 23, 14, 13, 160, 137, 51, 48, 218, 103, 69},
{93, 120, 957, 77, 30, 968, 459, 110, 137, 160, 613, 102, 202, 352, 373, 141, 31, 372, 217, 330, 190, 318, 269, 260, 203, 44, 28, 473, 228, 177, 863, 704},
{15, 515, 700, 0, 753, 1, 13, 23, 2, 51, 5, 9, 120, 82, 4, 7, 901, 197, 10, 8, 260, 180, 341, 12, 33, 6, 3, 523, 165, 102, 115, 141},
{206, 417, 8, 141, 499, 44, 244, 93, 31, 10, 137, 253, 559, 116, 728, 144, 120, 564, 269, 638, 203, 352, 143, 260, 341, 752, 268, 717, 951, 180, 160, 110},
{530, 254, 228, 1, 96, 21, 406, 39, 827, 31, 669, 840, 613, 829, 137, 679, 166, 98, 23, 51, 960, 438, 131, 93, 48, 224, 219, 317, 310, 36, 876, 190},
{15, 515, 700, 753, 13, 457, 0, 197, 719, 1, 165, 82, 23, 8, 120, 730, 2, 10, 12, 180, 134, 5, 9, 141, 260, 4, 351, 51, 115, 3, 341, 899},
{0, 16, 68, 9, 24, 28, 18, 35, 252, 109, 39, 419, 124, 158, 154, 55, 101, 71, 22, 118, 60, 7, 49, 65, 333, 14, 1, 10, 329, 364, 677, 346},
{1, 15, 13, 23, 515, 51, 120, 0, 700, 180, 2, 165, 5, 753, 141, 197, 21, 33, 202, 102, 260, 4, 9, 12, 7, 326, 137, 450, 115, 6, 82, 110},
{535, 253, 352, 564, 110, 365, 82, 180, 341, 10, 854, 533, 55, 898, 244, 901,
873, 141, 752, 143, 642, 559, 498, 317, 36, 951, 115, 964, 638, 282, 661, 197},
{31, 44, 125, 338, 116, 64, 242, 36, 1, 10, 55, 22, 456, 237, 180, 13, 299, 164, 506, 86, 23, 165, 558, 143, 0, 762, 492, 479, 844, 546, 93, 8},
{13, 23, 4, 1, 202, 2, 0, 51, 115, 77, 141, 180, 5, 15, 217, 3, 33, 11, 515, 317, 9, 10, 102, 21, 700, 341, 365, 318, 269, 64, 32, 128},
{9, 39, 0, 166, 68, 101, 28, 364, 30, 158, 562, 35, 175, 65, 333, 154, 49, 404, 706, 124, 21, 252, 274, 168, 190, 289, 100, 570, 16, 1, 310, 346},
{15, 515, 700, 753, 341, 13, 0, 23, 1, 33, 141, 4, 260, 82, 77, 51, 351, 180, 9, 5, 115, 137, 10, 217, 11, 120, 102, 40, 349, 269, 202, 854}
#else
#include "table4.h"
#endif
};
const uint8_t g_best_total_orderings3[NUM_UNIQUE_TOTAL_ORDERINGS3][32] = {
{12, 1, 3, 5, 27, 2, 4, 38, 8, 7, 16, 18, 6, 10, 41, 79, 40, 23, 46, 9, 20, 88, 22, 37, 14, 19, 24, 126, 99, 119, 35, 11},
{7, 64, 116, 14, 94, 30, 8, 42, 1, 108, 47, 55, 137, 10, 134, 95, 96, 115, 69, 32, 63, 29, 90, 113, 11, 148, 16, 103, 19, 9, 34, 25},
{12, 1, 0, 5, 3, 7, 4, 27, 8, 6, 38, 40, 41, 16, 18, 46, 9, 10, 20, 23, 79, 62, 14, 22, 88, 99, 37, 126, 92, 19, 120, 11},
{16, 88, 27, 18, 46, 48, 126, 107, 79, 19, 59, 38, 37, 65, 23, 66, 0, 2, 3, 43, 12, 151, 28, 25, 5, 87, 72, 40, 1, 20, 52, 92},
{79, 48, 88, 16, 27, 65, 18, 38, 46, 19, 37, 4, 72, 33, 126, 41, 52, 0, 12, 92, 5, 1, 2, 107, 3, 77, 23, 91, 43, 51, 22, 74},
{1, 8, 41, 122, 10, 22, 2, 0, 87, 24, 37, 120, 38, 7, 39, 4, 5, 3, 9, 92, 62, 59, 23, 16, 104, 11, 27, 79, 19, 26, 25, 32},
{2, 76, 99, 28, 40, 86, 93, 21, 138, 60, 6, 0, 17, 128, 145, 119, 98, 144, 141, 82, 147, 54, 67, 75, 5, 12, 27, 132, 146, 1, 38, 14},
{47, 7, 64, 90, 1, 118, 116, 85, 57, 14, 30, 94, 50, 45, 137, 134, 8, 42, 69, 139, 55, 68, 58, 108, 95, 29, 10, 115, 0, 32, 2, 11},
{49, 8, 10, 30, 124, 11, 32, 113, 130, 58, 125, 9, 100, 53, 104, 115, 131, 103, 24, 7, 1, 39, 45, 36, 139, 0, 137, 22, 90, 44, 114, 105},
{9, 38, 72, 125, 49, 41, 84, 11, 13, 5, 27, 0, 16, 92, 8, 2, 65, 105, 10, 18, 48, 29, 127, 131, 36, 14, 1, 46, 111, 79, 130, 12},
{130, 8, 10, 100, 104, 131, 49, 32, 53, 39, 30, 36, 113, 24, 11, 22, 124, 44, 83, 58, 7, 103, 1, 4, 9, 125, 5, 0, 91, 33, 115, 74},
{114, 11, 58, 8, 120, 49, 9, 124, 142, 111, 41, 30, 10, 0, 97, 130, 62, 84, 38, 5, 72, 125, 92, 127, 100, 27, 139, 113, 13, 132, 32, 1},
{60, 46, 28, 27, 40, 20, 0, 17, 18, 2, 126, 16, 6, 38, 86, 23, 79, 54, 1, 93, 5, 88, 41, 14, 21, 111, 7, 48, 3, 84, 72, 62},
{72, 92, 38, 65, 84, 48, 41, 79, 27, 16, 29, 111, 88, 5, 18, 46, 1, 0, 152, 14, 37, 19, 77, 42, 132, 7, 22, 13, 119, 56, 12, 2},
{7, 55, 1, 95, 29, 56, 64, 116, 143, 8, 14, 30, 47, 94, 152, 90, 65, 67, 10, 133, 42, 72, 146, 84, 16, 48, 6, 0, 25, 108, 77, 21},
{27, 23, 20, 5, 0, 79, 38, 2, 3, 1, 59, 46, 4, 41, 33, 86, 37, 87, 88, 92, 7, 126, 43, 8, 22, 152, 151, 150, 149, 148, 147, 146},
{12, 0, 1, 2, 7, 6, 3, 5, 28, 4, 8, 14, 60, 40, 17, 19, 21, 86, 126, 93, 10, 18, 9, 29, 48, 99, 65, 25, 84, 119, 72, 41},
{60, 40, 99, 2, 54, 12, 0, 1, 19, 28, 98, 93, 6, 138, 21, 5, 27, 17, 151, 14, 76, 46, 16, 18, 38, 29, 86, 144, 107, 7, 25, 41},
{12, 0, 1, 2, 3, 5, 6, 7, 4, 28, 8, 60, 14, 40, 16, 17, 21, 10, 19, 9, 86, 38, 126, 41, 93, 27, 29, 48, 62, 84, 79, 99},
{0, 1, 2, 10, 5, 8, 3, 25, 4, 29, 32, 34, 63, 7, 77, 26, 16, 48, 65, 56, 14, 22, 129, 103, 72, 24, 18, 152, 140, 53, 96, 42},
{46, 126, 18, 54, 12, 16, 1, 0, 5, 2, 27, 98, 20, 23, 6, 3, 88, 48, 28, 7, 19, 8, 4, 60, 151, 38, 37, 21, 79, 14, 65, 40},
{76, 6, 141, 86, 119, 2, 138, 67, 28, 145, 0, 93, 17, 1, 40, 60, 146, 99, 147, 14, 21, 144, 132, 7, 5, 29, 55, 27, 16, 75, 19, 12},
{71, 5, 51, 39, 22, 80, 0, 43, 10, 122, 8, 62, 41, 24, 104, 87, 35, 37, 2, 91, 33, 120, 36, 38, 1, 131, 9, 100, 130, 66, 3, 4},
{126, 18, 46, 27, 20, 16, 88, 23, 12, 79, 54, 59, 48, 0, 73, 1, 37, 151, 5, 19, 28, 38, 2, 66, 60, 3, 65, 98, 14, 26, 6, 43},
{22, 10, 8, 5, 0, 71, 35, 80, 104, 39, 24, 51, 100, 1, 62, 32, 2, 130, 11, 41, 7, 9, 53, 43, 49, 83, 122, 120, 30, 44, 37, 38},
{1, 34, 14, 129, 53, 63, 42, 26, 121, 148, 7, 44, 96, 10, 0, 24, 100, 32, 64, 116, 140, 22, 5, 19, 29, 103, 135, 108, 8, 61, 39, 83},
{1, 7, 34, 63, 44, 25, 135, 14, 24, 108, 22, 0, 83, 94, 5, 129, 35, 101, 47, 121, 2, 19, 42, 53, 6, 110, 103, 8, 148, 10, 16, 123},
{12, 28, 16, 60, 18, 1, 6, 21, 14, 0, 86, 19, 2, 48, 93, 17, 38, 29, 7, 5, 65, 126, 46, 72, 41, 79, 84, 119, 40, 56, 54, 88},
{0, 2, 12, 27, 5, 46, 38, 40, 41, 79, 88, 99, 3, 23, 1, 62, 20, 4, 22, 37, 92, 35, 18, 8, 16, 24, 10, 60, 7, 120, 98, 54},
{1, 7, 14, 56, 8, 0, 84, 67, 10, 2, 133, 72, 42, 111, 5, 30, 21, 4, 9, 3, 25, 94, 16, 116, 47, 11, 65, 18, 132, 90, 55, 64},
{30, 8, 124, 139, 45, 11, 58, 90, 113, 137, 7, 115, 10, 32, 1, 49, 94, 85, 9, 47, 108, 103, 0, 97, 63, 14, 50, 114, 53, 106, 100, 25},
{65, 38, 48, 27, 16, 79, 72, 18, 88, 19, 46, 77, 84, 92, 37, 41, 0, 29, 1, 14, 12, 111, 2, 5, 31, 36, 87, 74, 105, 40, 28, 51},
{10, 8, 30, 113, 130, 100, 53, 32, 115, 103, 104, 7, 1, 121, 39, 49, 131, 44, 24, 36, 63, 137, 34, 45, 22, 90, 108, 83, 26, 11, 94, 139},
{51, 52, 43, 33, 5, 74, 16, 37, 71, 91, 38, 3, 36, 87, 48, 22, 4, 0, 122, 41, 39, 18, 66, 27, 79, 24, 65, 88, 59, 23, 62, 92},
{1, 7, 63, 53, 108, 121, 94, 44, 103, 100, 14, 10, 129, 47, 32, 26, 24, 25, 148, 42, 135, 22, 0, 61, 83, 8, 39, 104, 5, 64, 115, 34},
{1, 8, 10, 7, 5, 0, 80, 32, 62, 2, 24, 44, 53, 83, 9, 41, 30, 22, 100, 11, 14, 25, 120, 4, 26, 6, 3, 16, 122, 34, 19, 35},
{74, 4, 36, 48, 33, 91, 39, 79, 22, 16, 65, 5, 131, 38, 24, 71, 27, 52, 0, 105, 51, 18, 88, 104, 3, 31, 10, 37, 72, 19, 41, 130},
{59, 43, 38, 79, 23, 27, 92, 51, 0, 16, 46, 5, 18, 88, 41, 37, 66, 3, 87, 20, 48, 2, 122, 4, 22, 12, 1, 126, 19, 65, 33, 24},
{12, 28, 1, 27, 0, 16, 2, 46, 65, 60, 21, 3, 5, 18, 6, 19, 48, 14, 4, 7, 79, 88, 86, 29, 22, 72, 93, 40, 23, 8, 17, 41},
{22, 91, 39, 33, 24, 71, 5, 131, 36, 10, 51, 0, 130, 8, 104, 2, 35, 125, 9, 43, 52, 49, 83, 80, 100, 41, 122, 3, 37, 38, 4, 16},
{12, 0, 1, 2, 5, 3, 4, 8, 7, 27, 18, 38, 10, 6, 16, 46, 9, 20, 41, 23, 126, 79, 22, 14, 19, 99, 88, 54, 37, 48, 62, 35},
{12, 27, 1, 2, 3, 0, 46, 4, 38, 16, 8, 28, 7, 79, 18, 5, 84, 6, 88, 10, 14, 21, 23, 20, 40, 22, 60, 19, 9, 29, 72, 65},
{1, 14, 7, 55, 95, 29, 8, 94, 30, 56, 10, 108, 77, 116, 152, 64, 32, 48, 63, 42, 143, 148, 16, 25, 137, 65, 11, 0, 115, 9, 19, 72},
{37, 79, 66, 38, 16, 52, 48, 59, 43, 27, 87, 33, 41, 4, 23, 51, 3, 5, 88, 18, 92, 46, 73, 122, 22, 71, 20, 0, 65, 19, 2, 120},
{24, 32, 83, 22, 53, 1, 8, 10, 7, 30, 35, 5, 103, 0, 100, 101, 121, 113, 34, 123, 63, 2, 44, 25, 71, 115, 80, 14, 26, 108, 51, 39},
{97, 45, 111, 58, 85, 139, 0, 90, 47, 7, 120, 106, 142, 30, 50, 132, 41, 62, 84, 1, 119, 114, 14, 56, 117, 8, 38, 29, 2, 64, 116, 5},
{12, 28, 16, 18, 1, 60, 6, 14, 2, 21, 0, 86, 126, 19, 48, 93, 7, 27, 17, 29, 5, 65, 54, 38, 72, 79, 84, 88, 119, 145, 8, 111},
{118, 47, 64, 116, 57, 85, 7, 14, 50, 1, 42, 0, 45, 68, 86, 69, 2, 111, 134, 28, 90, 55, 16, 29, 56, 48, 84, 144, 60, 30, 112, 41},
{12, 1, 2, 0, 7, 6, 28, 5, 3, 4, 8, 14, 60, 21, 18, 40, 17, 86, 10, 9, 16, 29, 19, 93, 126, 79, 38, 84, 72, 27, 111, 119},
{11, 8, 49, 130, 10, 125, 9, 124, 100, 114, 131, 30, 58, 104, 32, 39, 24, 113, 36, 105, 0, 41, 22, 120, 5, 53, 111, 38, 142, 44, 83, 35},
{50, 70, 47, 118, 85, 57, 106, 0, 45, 7, 64, 90, 81, 14, 2, 134, 28, 62, 86, 55, 69, 1, 78, 119, 68, 56, 18, 67, 16, 60, 29, 21},
{43, 37, 33, 87, 51, 41, 66, 5, 122, 38, 22, 59, 92, 0, 23, 91, 27, 16, 71, 79, 18, 52, 120, 4, 3, 24, 46, 20, 73, 39, 62, 36},
{79, 48, 4, 16, 27, 88, 43, 33, 18, 38, 65, 37, 46, 3, 19, 51, 52, 22, 66, 87, 74, 5, 41, 91, 23, 59, 0, 71, 122, 72, 20, 92},
{32, 100, 10, 8, 30, 104, 24, 44, 39, 113, 83, 103, 1, 7, 22, 53, 115, 63, 135, 121, 26, 35, 34, 5, 0, 108, 137, 90, 91, 45, 2, 130},
{0, 1, 2, 5, 16, 12, 6, 7, 14, 3, 19, 18, 29, 20, 4, 21, 40, 8, 17, 35, 23, 48, 126, 22, 25, 56, 26, 10, 98, 27, 38, 65},
{143, 67, 56, 146, 1, 7, 133, 55, 64, 141, 134, 69, 6, 47, 14, 29, 84, 21, 111, 147, 57, 16, 95, 72, 118, 132, 50, 0, 2, 18, 119, 42},
{1, 7, 67, 14, 133, 111, 8, 84, 0, 21, 2, 47, 64, 132, 55, 10, 95, 147, 119, 42, 16, 5, 72, 56, 4, 3, 6, 29, 9, 25, 18, 30},
{68, 57, 69, 112, 144, 86, 102, 2, 134, 55, 0, 70, 118, 64, 75, 47, 14, 28, 93, 143, 67, 7, 50, 149, 1, 21, 29, 56, 119, 95, 60, 78},
{58, 97, 114, 30, 124, 45, 11, 139, 8, 90, 0, 142, 7, 10, 41, 113, 84, 62, 49, 111, 85, 1, 9, 5, 137, 120, 32, 14, 2, 117, 47, 38},
{23, 66, 18, 79, 38, 20, 43, 27, 16, 88, 46, 59, 126, 37, 87, 12, 73, 92, 3, 5, 48, 0, 19, 54, 2, 51, 28, 1, 41, 65, 122, 22},
{0, 12, 2, 27, 5, 40, 46, 38, 1, 41, 3, 79, 88, 23, 99, 4, 20, 62, 22, 54, 92, 18, 8, 37, 16, 35, 10, 7, 19, 120, 144, 24},
{1, 14, 25, 26, 0, 7, 44, 34, 129, 42, 24, 5, 135, 22, 19, 148, 6, 96, 83, 2, 29, 16, 63, 35, 101, 64, 140, 136, 116, 110, 3, 10},
{12, 1, 2, 27, 3, 4, 38, 5, 7, 8, 18, 16, 46, 6, 0, 40, 41, 10, 79, 23, 88, 9, 20, 22, 14, 19, 37, 92, 48, 126, 28, 21},
{7, 1, 10, 32, 108, 103, 94, 47, 8, 53, 25, 14, 34, 115, 100, 129, 121, 130, 148, 42, 64, 116, 63, 26, 44, 0, 24, 30, 113, 4, 104, 22},
{47, 134, 7, 14, 55, 69, 64, 95, 1, 29, 85, 118, 56, 116, 45, 57, 102, 143, 50, 90, 42, 30, 16, 94, 0, 8, 67, 75, 133, 2, 18, 48},
{12, 1, 2, 0, 7, 6, 28, 8, 14, 5, 3, 4, 40, 21, 17, 18, 60, 86, 16, 93, 126, 10, 9, 29, 99, 38, 119, 25, 19, 54, 27, 84},
{59, 16, 27, 18, 23, 88, 79, 37, 46, 66, 38, 20, 73, 126, 3, 43, 48, 87, 92, 51, 41, 12, 19, 5, 52, 107, 65, 0, 151, 122, 54, 2},
{1, 21, 147, 7, 119, 14, 76, 132, 55, 0, 86, 145, 2, 6, 69, 67, 16, 143, 111, 138, 17, 28, 29, 60, 18, 93, 8, 19, 40, 56, 84, 5},
{144, 86, 112, 2, 68, 102, 69, 0, 149, 93, 75, 28, 57, 55, 145, 60, 21, 67, 99, 134, 143, 40, 146, 119, 82, 110, 62, 6, 29, 26, 78, 14},
{102, 57, 55, 69, 143, 75, 146, 67, 56, 68, 134, 2, 29, 141, 0, 21, 6, 14, 133, 118, 64, 1, 7, 95, 47, 84, 111, 28, 147, 82, 72, 119},
{0, 70, 57, 119, 50, 145, 2, 86, 28, 118, 69, 78, 149, 47, 60, 68, 67, 55, 93, 81, 134, 21, 14, 62, 64, 7, 5, 1, 132, 85, 41, 16},
{51, 5, 43, 71, 122, 87, 41, 37, 91, 39, 0, 22, 33, 36, 38, 24, 66, 120, 62, 2, 80, 16, 92, 10, 59, 4, 27, 23, 35, 79, 8, 3},
{12, 1, 2, 0, 7, 6, 28, 5, 8, 14, 3, 21, 40, 4, 60, 17, 86, 18, 16, 93, 10, 9, 126, 119, 99, 29, 19, 41, 38, 27, 25, 92},
{27, 18, 46, 126, 23, 16, 88, 79, 20, 151, 59, 73, 48, 38, 0, 54, 12, 2, 37, 1, 19, 5, 28, 60, 66, 41, 3, 109, 86, 65, 40, 6},
{48, 79, 4, 33, 16, 74, 65, 38, 88, 27, 91, 52, 18, 36, 22, 19, 46, 0, 37, 3, 51, 5, 71, 39, 72, 43, 24, 41, 92, 87, 2, 10},
{86, 2, 144, 93, 28, 112, 141, 6, 102, 21, 99, 60, 75, 0, 68, 82, 69, 146, 67, 149, 55, 40, 145, 76, 111, 147, 56, 119, 110, 143, 26, 132},
{6, 138, 2, 99, 86, 17, 40, 93, 28, 21, 145, 141, 0, 60, 119, 147, 128, 76, 67, 54, 1, 12, 5, 27, 144, 14, 38, 98, 146, 41, 29, 19},
{1, 8, 0, 10, 2, 29, 7, 5, 3, 56, 4, 25, 14, 152, 63, 32, 65, 72, 96, 42, 34, 108, 48, 9, 26, 16, 84, 103, 67, 148, 22, 129},
{149, 145, 0, 86, 2, 28, 93, 144, 62, 60, 119, 101, 21, 41, 5, 35, 78, 99, 26, 40, 12, 68, 57, 67, 110, 120, 69, 18, 55, 76, 132, 70},
{12, 28, 16, 1, 48, 19, 6, 60, 2, 14, 18, 21, 0, 27, 46, 65, 86, 29, 5, 7, 72, 93, 40, 3, 17, 84, 56, 88, 126, 4, 38, 8},
{1, 8, 5, 10, 7, 24, 2, 62, 0, 41, 22, 122, 120, 9, 4, 3, 32, 87, 11, 37, 38, 83, 100, 44, 25, 104, 16, 26, 39, 80, 14, 6},
{0, 119, 62, 86, 145, 149, 28, 132, 93, 2, 120, 67, 60, 41, 35, 5, 144, 21, 123, 38, 111, 81, 84, 56, 12, 44, 24, 50, 92, 55, 40, 22},
{2, 93, 99, 28, 40, 144, 60, 0, 86, 150, 76, 21, 149, 98, 6, 25, 1, 61, 82, 26, 12, 5, 54, 141, 7, 18, 145, 16, 27, 138, 110, 38},
{24, 8, 10, 22, 32, 35, 100, 5, 1, 53, 0, 7, 71, 80, 30, 123, 83, 104, 51, 11, 2, 39, 44, 113, 9, 62, 25, 103, 34, 101, 43, 41},
{12, 1, 2, 0, 7, 6, 28, 5, 40, 60, 8, 16, 3, 18, 14, 4, 86, 21, 17, 93, 41, 10, 9, 99, 27, 119, 38, 19, 126, 22, 48, 145},
{45, 47, 50, 7, 85, 90, 97, 1, 64, 139, 116, 118, 30, 58, 14, 106, 70, 111, 0, 57, 94, 42, 137, 142, 29, 120, 8, 56, 18, 134, 84, 41},
{12, 0, 2, 5, 27, 38, 1, 46, 41, 40, 79, 144, 3, 22, 88, 23, 28, 60, 99, 62, 6, 24, 26, 7, 4, 16, 10, 35, 37, 18, 14, 20},
{37, 38, 59, 92, 0, 5, 23, 51, 79, 41, 27, 22, 2, 3, 87, 16, 46, 4, 1, 43, 20, 33, 18, 88, 24, 71, 8, 10, 48, 19, 126, 122},
{12, 28, 16, 60, 1, 18, 6, 21, 19, 14, 48, 0, 2, 86, 93, 5, 46, 29, 17, 27, 65, 7, 3, 72, 38, 126, 119, 40, 84, 37, 56, 4},
{0, 2, 5, 1, 16, 6, 27, 28, 18, 38, 60, 7, 14, 21, 46, 40, 86, 41, 19, 48, 93, 8, 3, 79, 22, 4, 10, 37, 62, 23, 24, 111},
{85, 7, 90, 30, 47, 139, 45, 50, 94, 58, 137, 1, 8, 64, 14, 116, 118, 115, 113, 11, 124, 108, 0, 10, 97, 57, 32, 70, 42, 106, 29, 114},
{33, 36, 22, 71, 51, 5, 91, 39, 0, 52, 43, 24, 131, 74, 16, 37, 38, 122, 41, 3, 87, 48, 4, 104, 35, 80, 10, 2, 105, 62, 27, 18},
{12, 1, 27, 2, 0, 16, 3, 28, 46, 18, 4, 6, 5, 72, 21, 79, 38, 7, 14, 60, 88, 8, 65, 19, 48, 29, 23, 40, 22, 20, 86, 126},
{0, 12, 2, 27, 5, 38, 46, 41, 1, 40, 79, 3, 88, 23, 22, 99, 20, 37, 62, 4, 18, 6, 16, 35, 60, 28, 24, 7, 92, 8, 14, 10},
{7, 47, 1, 30, 137, 8, 116, 94, 90, 64, 14, 115, 108, 118, 57, 10, 148, 113, 42, 85, 32, 11, 63, 50, 103, 45, 124, 134, 55, 9, 69, 34},
{55, 7, 1, 29, 56, 143, 64, 47, 67, 133, 14, 146, 95, 72, 84, 8, 116, 111, 6, 134, 141, 21, 65, 0, 69, 30, 16, 45, 85, 42, 50, 10},
{14, 1, 42, 8, 10, 29, 108, 63, 55, 148, 95, 32, 7, 19, 25, 115, 103, 34, 56, 129, 77, 0, 16, 152, 94, 30, 113, 26, 2, 5, 48, 4},
{111, 120, 142, 97, 58, 0, 41, 45, 62, 132, 114, 84, 139, 30, 5, 8, 38, 2, 7, 85, 119, 90, 117, 1, 124, 11, 56, 47, 28, 27, 35, 72},
{1, 0, 14, 2, 6, 5, 16, 19, 7, 29, 42, 18, 3, 25, 12, 35, 21, 8, 26, 17, 40, 4, 20, 48, 109, 99, 22, 96, 55, 101, 10, 61},
{12, 0, 1, 5, 3, 2, 4, 7, 27, 8, 38, 6, 40, 18, 16, 10, 20, 46, 9, 41, 23, 22, 79, 14, 62, 19, 37, 126, 88, 11, 92, 48},
{10, 8, 104, 39, 24, 32, 22, 83, 44, 100, 30, 130, 53, 91, 113, 5, 11, 1, 35, 33, 7, 49, 0, 2, 103, 71, 36, 124, 9, 80, 131, 34},
{1, 7, 0, 14, 8, 34, 5, 25, 35, 26, 6, 63, 10, 123, 2, 16, 103, 19, 44, 32, 135, 121, 108, 80, 62, 30, 115, 94, 149, 144, 53, 18},
{75, 68, 146, 141, 102, 67, 2, 21, 6, 57, 69, 143, 0, 55, 82, 86, 28, 144, 147, 29, 93, 112, 56, 119, 133, 14, 76, 60, 84, 134, 111, 145},
{10, 32, 115, 7, 8, 53, 1, 108, 30, 113, 94, 137, 100, 63, 90, 34, 130, 103, 121, 47, 44, 25, 104, 39, 24, 26, 85, 14, 49, 36, 22, 131},
{39, 24, 10, 22, 8, 130, 91, 104, 83, 49, 5, 33, 100, 11, 0, 35, 32, 131, 71, 36, 9, 44, 53, 2, 80, 51, 30, 1, 41, 7, 43, 62},
{38, 36, 65, 105, 27, 72, 31, 79, 41, 131, 5, 48, 125, 39, 0, 16, 92, 46, 22, 13, 18, 84, 24, 37, 88, 2, 33, 74, 91, 71, 130, 49},
{0, 106, 62, 50, 45, 119, 85, 81, 132, 28, 2, 86, 41, 47, 38, 60, 35, 117, 5, 29, 7, 30, 145, 90, 55, 70, 14, 111, 18, 67, 93, 56},
{0, 2, 5, 1, 3, 25, 19, 26, 4, 34, 29, 10, 22, 16, 8, 7, 24, 14, 48, 65, 53, 18, 6, 77, 44, 56, 72, 61, 121, 21, 136, 40},
{7, 1, 94, 8, 47, 115, 10, 32, 113, 103, 30, 108, 137, 63, 14, 64, 116, 148, 129, 42, 90, 25, 34, 118, 53, 57, 11, 49, 85, 9, 96, 50},
{14, 0, 1, 26, 19, 5, 42, 2, 25, 24, 29, 22, 6, 44, 61, 16, 7, 96, 136, 3, 140, 34, 35, 55, 135, 18, 48, 77, 83, 4, 8, 10},
{1, 7, 14, 0, 25, 6, 34, 5, 26, 16, 63, 2, 19, 8, 35, 101, 108, 29, 94, 10, 18, 42, 123, 144, 129, 47, 61, 21, 3, 62, 149, 4},
{12, 0, 2, 1, 28, 5, 6, 120, 7, 60, 40, 16, 18, 86, 27, 14, 21, 93, 8, 62, 41, 38, 3, 17, 4, 119, 99, 48, 19, 126, 10, 9},
{86, 144, 93, 2, 28, 149, 0, 60, 99, 112, 110, 145, 40, 21, 102, 26, 75, 62, 69, 1, 12, 101, 119, 25, 76, 67, 7, 68, 55, 5, 6, 14},
{8, 30, 10, 32, 113, 49, 115, 137, 124, 103, 45, 90, 7, 139, 11, 1, 58, 53, 130, 94, 108, 100, 9, 63, 85, 125, 34, 47, 0, 24, 44, 104},
{120, 142, 111, 41, 58, 114, 97, 0, 11, 62, 84, 124, 5, 30, 8, 38, 132, 127, 27, 139, 92, 10, 72, 45, 49, 9, 28, 2, 29, 56, 16, 1},
{8, 113, 30, 137, 7, 32, 10, 90, 94, 115, 1, 103, 108, 63, 47, 85, 49, 53, 11, 45, 34, 50, 14, 25, 9, 124, 100, 130, 139, 121, 42, 26},
{64, 7, 14, 47, 134, 55, 1, 42, 95, 69, 116, 90, 94, 30, 8, 29, 56, 137, 45, 108, 85, 10, 57, 16, 102, 143, 118, 19, 63, 32, 11, 50},
{62, 132, 0, 119, 120, 41, 111, 86, 35, 28, 5, 84, 56, 38, 2, 93, 145, 60, 67, 12, 92, 27, 29, 72, 55, 117, 21, 24, 133, 149, 22, 45},
{57, 68, 69, 118, 134, 64, 50, 47, 55, 14, 7, 2, 102, 144, 0, 112, 70, 86, 85, 1, 95, 29, 116, 143, 42, 75, 16, 56, 28, 45, 21, 48},
{0, 12, 2, 1, 5, 28, 6, 40, 60, 27, 7, 38, 16, 14, 86, 18, 93, 41, 62, 46, 99, 35, 8, 23, 3, 17, 22, 21, 10, 19, 79, 20},
{12, 1, 2, 27, 16, 3, 38, 111, 4, 0, 18, 5, 7, 46, 40, 8, 79, 6, 14, 28, 88, 10, 48, 41, 19, 84, 21, 9, 22, 23, 20, 72},
{53, 103, 32, 7, 1, 100, 22, 63, 71, 44, 10, 115, 108, 24, 92, 104, 26, 30, 122, 94, 8, 39, 83, 34, 137, 135, 90, 91, 121, 5, 87, 47},
{87, 37, 41, 0, 22, 38, 2, 92, 1, 24, 4, 8, 3, 59, 10, 5, 39, 23, 71, 79, 122, 27, 16, 46, 33, 7, 91, 20, 18, 51, 9, 120},
{1, 7, 8, 10, 0, 5, 35, 32, 53, 44, 14, 30, 2, 80, 25, 34, 6, 62, 26, 103, 16, 19, 63, 9, 149, 24, 121, 41, 22, 11, 113, 83},
{11, 58, 8, 30, 124, 49, 10, 113, 9, 114, 139, 45, 97, 32, 7, 137, 90, 1, 0, 130, 115, 125, 100, 24, 5, 94, 53, 41, 14, 13, 35, 38},
{125, 105, 9, 36, 131, 49, 8, 130, 39, 11, 10, 5, 22, 38, 41, 104, 0, 31, 13, 24, 27, 16, 2, 72, 65, 91, 48, 32, 84, 18, 100, 74},
{12, 1, 0, 2, 6, 3, 7, 5, 4, 8, 14, 28, 16, 60, 18, 10, 21, 17, 19, 9, 40, 27, 86, 93, 29, 38, 54, 11, 25, 48, 46, 41},
{84, 41, 38, 72, 92, 29, 111, 5, 65, 120, 79, 0, 27, 56, 48, 14, 132, 16, 119, 22, 86, 88, 46, 28, 62, 12, 1, 2, 93, 18, 24, 127},
{99, 28, 40, 60, 2, 93, 138, 0, 98, 17, 86, 54, 76, 12, 27, 1, 21, 144, 128, 38, 5, 14, 46, 18, 25, 16, 109, 6, 41, 145, 7, 29},
{1, 63, 10, 32, 148, 14, 103, 34, 42, 7, 8, 108, 116, 53, 64, 96, 25, 121, 26, 94, 140, 0, 29, 19, 55, 24, 100, 136, 5, 4, 44, 115},
{131, 100, 130, 49, 10, 8, 36, 104, 39, 0, 48, 41, 11, 38, 4, 24, 27, 22, 16, 44, 79, 5, 33, 2, 53, 9, 125, 74, 91, 120, 32, 83},
{36, 39, 131, 74, 4, 91, 22, 33, 125, 104, 130, 48, 10, 24, 16, 5, 49, 8, 100, 105, 79, 0, 9, 65, 71, 2, 18, 83, 31, 11, 19, 44},
{0, 12, 2, 1, 6, 5, 7, 28, 40, 60, 16, 14, 18, 62, 86, 27, 93, 8, 17, 38, 21, 41, 35, 99, 3, 19, 10, 23, 22, 4, 9, 48},
{1, 7, 67, 14, 21, 147, 111, 55, 132, 119, 0, 8, 2, 76, 64, 16, 47, 84, 6, 18, 86, 95, 145, 10, 42, 29, 133, 5, 56, 134, 17, 72},
{69, 55, 47, 134, 102, 143, 7, 57, 118, 95, 14, 64, 29, 56, 1, 50, 75, 67, 146, 2, 0, 133, 68, 16, 21, 6, 141, 85, 116, 18, 72, 65},
{1, 44, 7, 24, 83, 63, 34, 103, 22, 121, 53, 32, 25, 35, 0, 115, 108, 5, 14, 8, 10, 101, 94, 30, 2, 123, 110, 26, 137, 47, 90, 19},
{14, 1, 25, 42, 34, 0, 26, 96, 19, 29, 140, 5, 53, 10, 2, 121, 3, 24, 44, 22, 55, 77, 129, 7, 63, 16, 8, 4, 6, 61, 100, 48},
{30, 90, 7, 8, 137, 94, 85, 1, 47, 113, 115, 108, 45, 139, 124, 11, 10, 32, 50, 58, 103, 14, 63, 64, 9, 116, 49, 42, 25, 148, 0, 53},
{40, 99, 2, 60, 28, 17, 0, 54, 93, 98, 86, 138, 6, 12, 21, 76, 1, 5, 27, 144, 128, 38, 19, 46, 14, 41, 145, 7, 16, 67, 3, 109},
{45, 58, 30, 139, 90, 7, 85, 137, 97, 8, 124, 47, 1, 11, 106, 114, 50, 94, 0, 113, 10, 115, 14, 32, 9, 64, 108, 41, 49, 29, 62, 116},
{14, 42, 10, 1, 63, 96, 32, 25, 34, 8, 129, 29, 0, 103, 55, 19, 26, 53, 77, 5, 95, 2, 4, 7, 3, 16, 148, 56, 18, 24, 121, 108},
{21, 2, 75, 86, 6, 76, 144, 28, 119, 99, 93, 147, 141, 67, 102, 145, 60, 132, 146, 128, 0, 82, 40, 138, 55, 111, 143, 17, 133, 112, 69, 14},
{111, 120, 41, 62, 84, 132, 0, 5, 38, 119, 56, 92, 72, 142, 27, 28, 29, 35, 58, 80, 2, 86, 65, 79, 12, 14, 1, 24, 145, 16, 21, 48},
{146, 67, 141, 69, 133, 21, 6, 143, 57, 55, 111, 147, 56, 1, 14, 132, 7, 2, 134, 102, 0, 119, 29, 84, 76, 64, 86, 72, 28, 68, 47, 75},
{12, 1, 0, 5, 27, 3, 7, 4, 38, 8, 6, 41, 16, 40, 46, 10, 18, 79, 2, 9, 23, 86, 20, 22, 62, 14, 37, 88, 92, 19, 24, 11},
{0, 12, 2, 1, 27, 5, 38, 28, 60, 6, 40, 7, 16, 46, 18, 14, 41, 99, 93, 62, 3, 79, 86, 23, 149, 8, 22, 35, 88, 17, 19, 10},
{141, 6, 21, 67, 147, 102, 146, 2, 76, 119, 132, 69, 55, 111, 86, 75, 28, 133, 143, 0, 1, 145, 14, 128, 56, 99, 17, 60, 29, 93, 84, 68},
{21, 76, 1, 119, 86, 145, 2, 0, 14, 7, 6, 138, 146, 55, 17, 28, 132, 93, 67, 40, 60, 143, 29, 147, 111, 16, 69, 141, 5, 56, 19, 133},
{1, 8, 108, 14, 7, 116, 64, 42, 10, 63, 94, 32, 115, 103, 113, 96, 30, 34, 55, 47, 95, 148, 29, 140, 129, 25, 134, 53, 69, 26, 19, 11},
{12, 1, 3, 5, 4, 2, 0, 7, 8, 38, 27, 16, 18, 6, 10, 20, 41, 40, 79, 46, 9, 23, 22, 88, 92, 37, 14, 24, 62, 19, 48, 99},
{1, 14, 7, 0, 6, 25, 5, 16, 19, 2, 42, 26, 29, 35, 61, 8, 18, 129, 101, 21, 3, 110, 34, 148, 96, 10, 17, 4, 22, 40, 12, 20},
{0, 2, 5, 1, 3, 19, 22, 26, 16, 24, 29, 7, 14, 6, 4, 25, 18, 44, 8, 48, 12, 61, 20, 21, 10, 35, 65, 56, 23, 40, 17, 107},
{1, 7, 8, 29, 56, 0, 10, 14, 2, 42, 72, 5, 4, 65, 3, 30, 84, 94, 67, 9, 25, 133, 111, 11, 32, 108, 16, 63, 21, 96, 26, 48}};
/*
------------------------------------------------------------------------------
This software is available under 2 licenses -- choose whichever you prefer.
------------------------------------------------------------------------------
ALTERNATIVE A - MIT License
Copyright(c) 2020 Richard Geldreich, Jr.
Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files(the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and / or sell copies
of the Software, and to permit persons to whom the Software is furnished to do
so, subject to the following conditions :
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
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ALTERNATIVE B - Public Domain(www.unlicense.org)
This is free and unencumbered software released into the public domain.
Anyone is free to copy, modify, publish, use, compile, sell, or distribute this
software, either in source code form or as a compiled binary, for any purpose,
commercial or non - commercial, and by any means.
In jurisdictions that recognize copyright laws, the author or authors of this
software dedicate any and all copyright interest in the software to the public
domain.We make this dedication for the benefit of the public at large and to
the detriment of our heirs and successors.We intend this dedication to be an
overt act of relinquishment in perpetuity of all present and future rights to
this software under copyright law.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE
AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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*/