int magma[128][3] = {
    {0, 0, 4},
    {1, 0, 7},
    {1, 1, 11},
    {2, 2, 16},
    {4, 3, 20},
    {5, 4, 24},
    {7, 5, 29},
    {9, 6, 33},
    {11, 7, 37},
    {14, 8, 42},
    {16, 9, 47},
    {19, 10, 52},
    {22, 11, 56},
    {24, 11, 61},
    {27, 12, 66},
    {31, 12, 71},
    {34, 11, 76},
    {37, 11, 79},
    {40, 11, 83},
    {44, 10, 87},
    {47, 10, 91},
    {51, 9, 94},
    {54, 9, 97},
    {58, 9, 99},
    {61, 9, 102},
    {65, 9, 103},
    {68, 10, 104},
    {71, 10, 105},
    {74, 11, 106},
    {78, 13, 108},
    {81, 13, 108},
    {84, 14, 109},
    {87, 15, 109},
    {90, 17, 110},
    {94, 18, 110},
    {97, 19, 110},
    {99, 20, 110},
    {103, 22, 110},
    {106, 23, 110},
    {109, 24, 110},
    {112, 25, 110},
    {115, 26, 109},
    {119, 27, 109},
    {122, 28, 109},
    {125, 29, 108},
    {128, 31, 107},
    {131, 32, 107},
    {134, 33, 106},
    {137, 34, 105},
    {141, 35, 105},
    {143, 36, 104},
    {147, 37, 103},
    {150, 38, 102},
    {153, 40, 100},
    {156, 41, 99},
    {160, 42, 98},
    {163, 43, 97},
    {165, 44, 95},
    {168, 46, 94},
    {172, 47, 92},
    {175, 49, 91},
    {178, 50, 89},
    {181, 51, 87},
    {183, 53, 86},
    {187, 55, 84},
    {190, 56, 82},
    {192, 57, 81},
    {195, 60, 78},
    {198, 61, 76},
    {201, 63, 75},
    {203, 64, 73},
    {206, 67, 71},
    {208, 69, 68},
    {211, 71, 66},
    {213, 73, 64},
    {216, 76, 62},
    {218, 78, 59},
    {220, 81, 57},
    {222, 83, 55},
    {225, 86, 52},
    {227, 88, 50},
    {229, 91, 47},
    {230, 94, 45},
    {232, 97, 43},
    {234, 100, 40},
    {236, 103, 38},
    {237, 106, 35},
    {239, 109, 33},
    {240, 112, 30},
    {242, 116, 28},
    {243, 119, 25},
    {244, 122, 22},
    {245, 126, 20},
    {246, 129, 17},
    {247, 133, 15},
    {248, 136, 12},
    {249, 140, 9},
    {249, 143, 8},
    {250, 146, 6},
    {250, 151, 6},
    {251, 155, 6},
    {251, 158, 7},
    {251, 161, 8},
    {251, 165, 11},
    {251, 169, 14},
    {251, 173, 17},
    {251, 177, 21},
    {251, 180, 25},
    {251, 184, 29},
    {250, 188, 34},
    {250, 192, 38},
    {249, 196, 43},
    {249, 200, 48},
    {248, 204, 53},
    {247, 208, 59},
    {246, 212, 64},
    {245, 216, 70},
    {244, 219, 76},
    {243, 223, 83},
    {243, 226, 90},
    {242, 230, 97},
    {241, 234, 105},
    {241, 237, 113},
    {241, 240, 122},
    {242, 243, 130},
    {243, 246, 137},
    {245, 249, 145},
    {247, 251, 154}
};