// Global var for all LUTs in Fiji 1.53t
var lutnames = newArray("Fire", "Grays", "Ice", "Spectrum", "3-3-2 RGB", "Red", "Green", "Blue", "Cyan", "Magenta", "Yellow", "Red/Green", "16 colors", "5 ramps", "6 shades", "blue orange icb", "brgbcmyw", "cool", "Cyan Hot", "edges", "gem", "glasbey", "glasbey inverted", "glasbey on dark", "glow", "Green Fire Blue", "HiLo", "ICA", "ICA2", "ICA3", "Magenta Hot", "mpl-inferno", "mpl-magma", "mpl-plasma", "mpl-viridis", "Orange Hot", "phase", "physics", "Rainbow RGB", "Red Hot", "royal", "sepia", "smart", "thal", "thallium", "Thermal", "unionjack", "Yellow Hot");
var lutstr = newArray(48); lutstr[0] = "0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 98, 101, 104, 107, 110, 113, 116, 119, 122, 125, 128, 131, 134, 137, 140, 143, 146, 148, 150, 152, 154, 156, 158, 160, 162, 163, 164, 166, 167, 168, 170, 171, 173, 174, 175, 177, 178, 179, 181, 182, 184, 185, 186, 188, 189, 190, 192, 193, 195, 196, 198, 199, 201, 202, 204, 205, 207, 208, 209, 210, 212, 213, 214, 215, 217, 218, 220, 221, 223, 224, 226, 227, 229, 230, 231, 233, 234, 235, 237, 238, 240, 241, 243, 244, 246, 247, 249, 250, 252, 252, 252, 253, 253, 253, 254, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255;0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 10, 12, 14, 16, 19, 21, 24, 27, 29, 32, 35, 37, 40, 43, 46, 48, 51, 54, 57, 59, 62, 65, 68, 70, 73, 76, 79, 81, 84, 87, 90, 92, 95, 98, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 133, 134, 136, 138, 140, 141, 143, 145, 147, 148, 150, 152, 154, 155, 157, 159, 161, 162, 164, 166, 168, 169, 171, 173, 175, 176, 178, 180, 182, 184, 186, 188, 190, 191, 193, 195, 197, 199, 201, 203, 205, 206, 208, 210, 212, 213, 215, 217, 219, 220, 222, 224, 226, 228, 230, 232, 234, 235, 237, 239, 241, 242, 244, 246, 248, 248, 249, 250, 251, 252, 253, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255;0, 7, 15, 22, 30, 38, 45, 53, 61, 65, 69, 74, 78, 82, 87, 91, 96, 100, 104, 108, 113, 117, 121, 125, 130, 134, 138, 143, 147, 151, 156, 160, 165, 168, 171, 175, 178, 181, 185, 188, 192, 195, 199, 202, 206, 209, 213, 216, 220, 220, 221, 222, 223, 224, 225, 226, 227, 224, 222, 220, 218, 216, 214, 212, 210, 206, 202, 199, 195, 191, 188, 184, 181, 177, 173, 169, 166, 162, 158, 154, 151, 147, 143, 140, 136, 132, 129, 125, 122, 118, 114, 111, 107, 103, 100, 96, 93, 89, 85, 82, 78, 74, 71, 67, 64, 60, 56, 53, 49, 45, 42, 38, 35, 31, 27, 23, 20, 16, 12, 8, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 8, 13, 17, 21, 26, 30, 35, 42, 50, 58, 66, 74, 82, 90, 98, 105, 113, 121, 129, 136, 144, 152, 160, 167, 175, 183, 191, 199, 207, 215, 223, 227, 231, 235, 239, 243, 247, 251, 255, 255, 255, 255, 255, 255, 255, 255"; lutstr[1] = "0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255;0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255;0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255"; lutstr[2] = "0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 11, 14, 16, 19, 20, 21, 22, 24, 25, 26, 27, 29, 31, 34, 36, 39, 42, 44, 47, 50, 49, 49, 49, 49, 48, 48, 48, 48, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 112, 114, 117, 120, 123, 125, 128, 131, 134, 137, 140, 143, 146, 149, 152, 155, 158, 161, 165, 168, 172, 175, 179, 182, 186, 187, 189, 191, 193, 195, 197, 199, 201, 203, 205, 207, 209, 211, 213, 215, 217, 218, 220, 221, 223, 224, 226, 227, 229, 230, 232, 233, 235, 237, 238, 240, 242, 243, 244, 245, 246, 247, 248, 249, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 251, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 251, 251, 251, 251, 251, 251, 251, 251, 251, 250, 249, 248, 247, 246, 245, 244, 243, 241, 239, 238, 236, 234, 233, 231, 230, 230, 230, 230, 230, 230, 230, 230;156, 157, 158, 159, 160, 161, 162, 163, 165, 166, 167, 169, 170, 171, 173, 174, 176, 177, 178, 179, 180, 181, 182, 183, 184, 184, 185, 186, 187, 187, 188, 189, 190, 190, 191, 192, 193, 193, 194, 195, 196, 195, 195, 194, 194, 194, 193, 193, 193, 191, 190, 189, 188, 187, 186, 185, 184, 182, 180, 179, 177, 175, 174, 172, 171, 169, 168, 167, 166, 165, 164, 163, 162, 160, 158, 156, 154, 152, 150, 148, 146, 143, 140, 138, 135, 132, 130, 127, 125, 122, 120, 118, 116, 113, 111, 109, 107, 105, 103, 101, 100, 98, 96, 94, 93, 91, 90, 88, 87, 85, 84, 82, 81, 81, 82, 83, 84, 84, 85, 86, 87, 87, 88, 88, 89, 90, 90, 91, 92, 92, 93, 93, 94, 95, 95, 96, 97, 96, 96, 96, 96, 95, 95, 95, 95, 94, 94, 94, 94, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 92, 92, 91, 91, 91, 90, 90, 90, 89, 88, 88, 87, 86, 86, 85, 85, 83, 81, 79, 77, 75, 73, 71, 69, 68, 67, 67, 66, 65, 65, 64, 64, 62, 61, 60, 59, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 47, 45, 44, 42, 41, 39, 38, 36, 35, 33, 31, 29, 27, 25, 23, 21, 19, 16, 14, 11, 9, 7, 4, 2, 0, 0, 1, 1, 2, 2, 3, 3, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0;140, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 151, 152, 153, 155, 156, 158, 159, 160, 161, 162, 163, 164, 165, 166, 166, 167, 167, 168, 168, 169, 169, 170, 170, 171, 172, 173, 173, 174, 175, 176, 180, 184, 188, 192, 196, 200, 204, 209, 210, 211, 213, 214, 215, 217, 218, 220, 221, 223, 225, 227, 228, 230, 232, 234, 232, 231, 230, 229, 228, 227, 226, 225, 226, 227, 229, 230, 231, 233, 234, 236, 237, 238, 239, 241, 242, 243, 244, 246, 246, 247, 247, 248, 248, 249, 249, 250, 250, 250, 250, 250, 250, 250, 250, 251, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 249, 248, 248, 247, 246, 246, 245, 245, 243, 241, 239, 237, 235, 233, 231, 230, 230, 230, 230, 230, 230, 230, 230, 230, 229, 228, 227, 226, 225, 224, 223, 222, 219, 217, 214, 212, 209, 207, 204, 202, 199, 196, 193, 191, 188, 185, 182, 180, 177, 175, 173, 171, 169, 167, 165, 163, 160, 157, 155, 152, 149, 147, 144, 142, 139, 137, 134, 132, 130, 127, 125, 123, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 104, 103, 101, 100, 98, 97, 95, 94, 92, 91, 90, 89, 87, 86, 85, 84, 81, 79, 76, 74, 71, 69, 66, 64, 59, 54, 49, 45, 40, 35, 30, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27"; 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lutstr[32] = "0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 26, 27, 28, 30, 31, 32, 34, 35, 37, 38, 40, 42, 43, 45, 47, 48, 50, 52, 53, 55, 57, 59, 60, 62, 64, 66, 67, 69, 71, 72, 74, 75, 77, 79, 80, 82, 83, 85, 87, 88, 90, 91, 93, 94, 96, 97, 99, 101, 102, 104, 105, 107, 108, 110, 111, 113, 115, 116, 118, 119, 121, 122, 124, 126, 127, 129, 130, 132, 133, 135, 137, 138, 140, 141, 143, 145, 146, 148, 149, 151, 153, 154, 156, 158, 159, 161, 163, 164, 166, 167, 169, 171, 172, 174, 176, 177, 179, 181, 182, 184, 185, 187, 189, 190, 192, 194, 195, 197, 198, 200, 202, 203, 205, 206, 208, 209, 211, 212, 214, 215, 217, 218, 220, 221, 222, 224, 225, 226, 228, 229, 230, 231, 232, 234, 235, 236, 237, 238, 238, 239, 240, 241, 242, 243, 243, 244, 245, 245, 246, 246, 247, 247, 248, 248, 249, 249, 249, 250, 250, 250, 251, 251, 251, 251, 252, 252, 252, 252, 252, 253, 253, 253, 253, 253, 253, 253, 253, 253, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 252, 252, 252, 252, 252, 252, 252, 252, 252, 252, 252, 251, 251, 251, 251;0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 24, 25, 26, 26, 27, 28, 28, 29, 30, 30, 31, 31, 32, 33, 33, 34, 34, 35, 36, 36, 37, 37, 38, 38, 39, 40, 40, 41, 41, 42, 42, 43, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 48, 49, 49, 50, 51, 51, 52, 52, 53, 53, 54, 54, 55, 55, 56, 57, 57, 58, 58, 59, 60, 60, 61, 62, 62, 63, 64, 65, 66, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 88, 89, 91, 93, 94, 96, 97, 99, 101, 103, 104, 106, 108, 110, 112, 113, 115, 117, 119, 121, 123, 125, 127, 128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 147, 149, 151, 153, 155, 157, 159, 161, 162, 164, 166, 168, 170, 172, 174, 175, 177, 179, 181, 183, 185, 187, 188, 190, 192, 194, 196, 198, 199, 201, 203, 205, 207, 209, 210, 212, 214, 216, 218, 220, 221, 223, 225, 227, 229, 230, 232, 234, 236, 238, 240, 241, 243, 245, 247, 249, 250, 252;3, 4, 6, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 34, 36, 38, 40, 42, 44, 47, 49, 51, 53, 56, 58, 60, 63, 65, 68, 70, 73, 75, 77, 80, 82, 85, 87, 89, 92, 94, 96, 98, 101, 103, 104, 106, 108, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 121, 122, 123, 123, 124, 124, 125, 125, 126, 126, 126, 126, 127, 127, 127, 127, 128, 128, 128, 128, 128, 128, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 128, 128, 128, 128, 128, 128, 128, 127, 127, 127, 127, 126, 126, 126, 126, 125, 125, 125, 124, 124, 123, 123, 123, 122, 122, 121, 121, 120, 120, 119, 119, 118, 117, 117, 116, 116, 115, 114, 114, 113, 112, 112, 111, 110, 109, 109, 108, 107, 106, 105, 105, 104, 103, 102, 102, 101, 100, 99, 98, 98, 97, 96, 96, 95, 95, 94, 93, 93, 93, 92, 92, 92, 91, 91, 91, 91, 91, 91, 91, 92, 92, 92, 92, 93, 93, 94, 94, 95, 96, 96, 97, 98, 99, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 110, 111, 112, 113, 115, 116, 117, 118, 120, 121, 123, 124, 125, 127, 128, 130, 131, 133, 134, 136, 137, 139, 141, 142, 144, 146, 147, 149, 151, 152, 154, 156, 157, 159, 161, 163, 165, 166, 168, 170, 172, 174, 176, 177, 179, 181, 183, 185, 187, 189, 191"; lutstr[33] = "12, 16, 19, 21, 24, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 52, 54, 56, 58, 59, 61, 63, 64, 66, 68, 69, 71, 73, 74, 76, 78, 79, 81, 82, 84, 86, 87, 89, 90, 92, 94, 95, 97, 98, 100, 101, 103, 104, 106, 108, 109, 111, 112, 114, 115, 117, 118, 120, 121, 123, 124, 126, 127, 129, 130, 132, 133, 134, 136, 137, 139, 140, 142, 143, 144, 146, 147, 149, 150, 151, 153, 154, 155, 157, 158, 159, 160, 162, 163, 164, 165, 167, 168, 169, 170, 172, 173, 174, 175, 176, 177, 178, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 209, 210, 211, 212, 213, 214, 215, 215, 216, 217, 218, 219, 220, 220, 221, 222, 223, 223, 224, 225, 226, 227, 227, 228, 229, 229, 230, 231, 232, 232, 233, 234, 234, 235, 236, 236, 237, 237, 238, 239, 239, 240, 240, 241, 242, 242, 243, 243, 244, 244, 245, 245, 246, 246, 246, 247, 247, 248, 248, 248, 249, 249, 250, 250, 250, 250, 251, 251, 251, 252, 252, 252, 252, 252, 252, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 252, 252, 252, 252, 252, 251, 251, 251, 250, 250, 250, 249, 249, 248, 248, 247, 247, 246, 246, 245, 245, 244, 243, 243, 242, 242, 241, 240, 240, 239;7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 112, 113, 114, 115, 116, 118, 119, 120, 121, 123, 124, 125, 126, 128, 129, 130, 132, 133, 134, 135, 137, 138, 139, 141, 142, 143, 145, 146, 147, 149, 150, 152, 153, 154, 156, 157, 159, 160, 162, 163, 164, 166, 167, 169, 170, 172, 173, 175, 176, 178, 179, 181, 182, 184, 185, 187, 188, 190, 192, 193, 195, 196, 198, 199, 201, 203, 204, 206, 208, 209, 211, 213, 214, 216, 217, 219, 221, 223, 224, 226, 228, 229, 231, 233, 234, 236, 238, 240, 241, 243, 245, 246, 248;134, 135, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 148, 149, 150, 151, 152, 152, 153, 154, 154, 155, 156, 156, 157, 158, 158, 159, 159, 160, 161, 161, 162, 162, 163, 163, 163, 164, 164, 165, 165, 165, 166, 166, 166, 167, 167, 167, 167, 167, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 167, 167, 167, 167, 167, 166, 166, 166, 165, 165, 164, 164, 164, 163, 163, 162, 161, 161, 160, 160, 159, 158, 158, 157, 156, 155, 155, 154, 153, 152, 151, 151, 150, 149, 148, 147, 146, 145, 144, 143, 143, 142, 141, 140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 130, 129, 128, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 117, 116, 115, 114, 113, 112, 111, 110, 109, 109, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 96, 96, 95, 94, 93, 92, 91, 90, 90, 89, 88, 87, 86, 85, 84, 84, 83, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 71, 71, 70, 69, 68, 67, 66, 65, 65, 64, 63, 62, 61, 60, 59, 58, 58, 57, 56, 55, 54, 53, 53, 52, 51, 50, 49, 49, 48, 47, 46, 45, 45, 44, 43, 43, 42, 41, 41, 40, 40, 39, 38, 38, 38, 37, 37, 37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 37, 35, 33"; lutstr[34] = "68, 68, 68, 69, 69, 69, 70, 70, 70, 70, 71, 71, 71, 71, 71, 71, 71, 72, 72, 72, 72, 72, 72, 72, 72, 72, 71, 71, 71, 71, 71, 71, 71, 70, 70, 70, 70, 69, 69, 69, 69, 68, 68, 67, 67, 67, 66, 66, 66, 65, 65, 64, 64, 63, 63, 62, 62, 61, 61, 61, 60, 60, 59, 59, 58, 58, 57, 57, 56, 56, 55, 55, 54, 54, 53, 53, 52, 52, 51, 51, 50, 50, 49, 49, 49, 48, 48, 47, 47, 46, 46, 46, 45, 45, 44, 44, 44, 43, 43, 42, 42, 42, 41, 41, 40, 40, 40, 39, 39, 39, 38, 38, 38, 37, 37, 36, 36, 36, 35, 35, 35, 34, 34, 34, 33, 33, 33, 32, 32, 32, 31, 31, 31, 31, 31, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 32, 32, 33, 33, 34, 35, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 50, 51, 53, 54, 56, 57, 59, 61, 62, 64, 66, 68, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 94, 96, 98, 100, 103, 105, 107, 109, 112, 114, 116, 119, 121, 124, 126, 129, 131, 134, 136, 139, 141, 144, 146, 149, 151, 154, 157, 159, 162, 165, 167, 170, 173, 175, 178, 181, 183, 186, 189, 191, 194, 197, 199, 202, 205, 207, 210, 212, 215, 218, 220, 223, 225, 228, 231, 233, 236, 238, 241, 243, 246, 248, 250, 253;1, 2, 3, 5, 6, 8, 9, 11, 12, 14, 15, 17, 18, 20, 21, 22, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 45, 47, 48, 49, 50, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 177, 178, 179, 180, 181, 182, 183, 184, 185, 185, 186, 187, 188, 189, 190, 190, 191, 192, 193, 194, 194, 195, 196, 197, 198, 198, 199, 200, 201, 201, 202, 203, 204, 204, 205, 206, 206, 207, 208, 208, 209, 210, 210, 211, 211, 212, 213, 213, 214, 214, 215, 215, 216, 216, 217, 217, 218, 218, 219, 219, 220, 220, 221, 221, 221, 222, 222, 223, 223, 223, 224, 224, 224, 225, 225, 225, 226, 226, 226, 227, 227, 227, 228, 228, 228, 229, 229, 229, 230, 230, 230, 231;84, 85, 87, 88, 90, 91, 92, 94, 95, 97, 98, 99, 101, 102, 103, 105, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 124, 125, 126, 127, 127, 128, 129, 129, 130, 131, 131, 132, 132, 133, 133, 134, 134, 135, 135, 135, 136, 136, 137, 137, 137, 137, 138, 138, 138, 138, 139, 139, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 140, 140, 140, 140, 140, 140, 139, 139, 139, 139, 138, 138, 138, 138, 137, 137, 137, 136, 136, 136, 135, 135, 134, 134, 133, 133, 133, 132, 132, 131, 130, 130, 129, 129, 128, 127, 127, 126, 125, 125, 124, 123, 122, 122, 121, 120, 119, 118, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 105, 104, 103, 102, 101, 100, 98, 97, 96, 95, 93, 92, 91, 89, 88, 86, 85, 84, 82, 81, 79, 78, 76, 75, 73, 71, 70, 68, 67, 65, 63, 62, 60, 58, 56, 55, 53, 51, 50, 48, 46, 44, 43, 41, 39, 38, 36, 34, 33, 31, 30, 29, 28, 27, 26, 25, 24, 24, 24, 24, 24, 25, 25, 26, 27, 28, 30, 31, 33, 34, 36"; lutstr[35] = "0, 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 92, 95, 98, 101, 104, 107, 110, 113, 116, 119, 122, 125, 128, 131, 134, 137, 140, 143, 146, 149, 152, 155, 158, 161, 164, 167, 170, 173, 176, 179, 182, 185, 188, 191, 194, 197, 200, 203, 206, 209, 212, 215, 218, 221, 224, 227, 230, 233, 236, 239, 242, 245, 248, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255;0, 1, 3, 4, 6, 7, 9, 10, 12, 13, 15, 16, 18, 19, 21, 22, 24, 25, 27, 28, 30, 31, 33, 34, 36, 37, 39, 40, 42, 43, 45, 46, 48, 49, 51, 52, 54, 55, 57, 58, 60, 61, 63, 64, 66, 67, 69, 70, 72, 73, 75, 76, 78, 79, 81, 82, 84, 85, 87, 88, 90, 91, 93, 94, 96, 97, 99, 100, 102, 103, 105, 106, 108, 109, 111, 112, 114, 115, 117, 118, 120, 121, 123, 124, 128, 128, 129, 130, 132, 133, 135, 136, 138, 139, 141, 142, 144, 145, 147, 148, 150, 151, 153, 154, 156, 157, 159, 160, 162, 163, 165, 166, 168, 169, 171, 172, 174, 175, 177, 178, 180, 181, 183, 184, 186, 187, 189, 190, 191, 193, 194, 196, 197, 199, 200, 202, 203, 205, 206, 208, 209, 211, 212, 214, 215, 217, 218, 220, 221, 223, 224, 226, 227, 229, 230, 232, 233, 235, 236, 238, 239, 241, 242, 244, 245, 247, 248, 250, 251, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255;0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 92, 95, 98, 101, 104, 107, 110, 113, 116, 119, 122, 125, 128, 131, 134, 137, 140, 143, 146, 149, 152, 155, 158, 161, 164, 167, 170, 173, 176, 179, 182, 185, 188, 191, 194, 197, 200, 203, 206, 209, 212, 215, 218, 221, 224, 227, 230, 233, 236, 239, 242, 245, 248, 251, 255"; lutstr[36] = "0, 0, 0, 4, 4, 4, 8, 8, 12, 12, 12, 16, 16, 20, 20, 20, 24, 24, 28, 28, 28, 32, 32, 36, 36, 36, 40, 40, 44, 44, 44, 48, 48, 52, 52, 52, 56, 56, 60, 60, 60, 64, 64, 68, 68, 68, 72, 72, 76, 76, 76, 80, 80, 84, 84, 84, 88, 88, 92, 92, 92, 96, 96, 96, 100, 100, 104, 104, 104, 108, 108, 112, 112, 112, 116, 116, 120, 120, 120, 124, 124, 128, 128, 128, 132, 132, 136, 136, 136, 140, 140, 144, 144, 144, 148, 148, 152, 152, 152, 156, 156, 160, 160, 160, 164, 164, 168, 168, 168, 172, 172, 176, 176, 176, 180, 180, 184, 184, 184, 188, 188, 192, 192, 192, 196, 196, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 204, 204, 204, 204, 204, 204, 204, 204, 204, 204, 208, 208, 208, 208, 208, 208, 208, 208, 208, 208, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 224, 224, 224, 224, 224, 224, 224, 224, 224, 228, 228, 228, 228, 228, 228, 228, 228, 228, 228, 232, 232, 232, 232, 232, 232, 232, 232, 232, 232, 236, 236, 236, 236, 236, 236, 236, 236, 236, 236, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 248, 248, 248, 248, 248, 248, 248, 248, 248, 252, 252;0, 0, 0, 4, 4, 4, 8, 8, 12, 12, 12, 16, 16, 20, 20, 20, 24, 24, 28, 28, 28, 32, 32, 36, 36, 36, 40, 40, 44, 44, 44, 48, 48, 52, 52, 52, 56, 56, 60, 60, 60, 64, 64, 68, 68, 68, 72, 72, 76, 76, 76, 80, 80, 84, 84, 84, 88, 88, 92, 92, 92, 96, 96, 96, 100, 100, 104, 104, 104, 108, 108, 112, 112, 112, 116, 116, 120, 120, 120, 124, 124, 128, 128, 128, 132, 132, 136, 136, 136, 140, 140, 144, 144, 144, 148, 148, 152, 152, 152, 156, 156, 160, 160, 160, 164, 164, 168, 168, 168, 172, 172, 176, 176, 176, 180, 180, 184, 184, 184, 188, 188, 192, 192, 192, 196, 196, 200, 200, 200, 196, 196, 196, 192, 192, 188, 188, 188, 184, 184, 180, 180, 180, 176, 176, 172, 172, 172, 168, 168, 168, 164, 164, 160, 160, 160, 156, 156, 152, 152, 152, 148, 148, 144, 144, 144, 140, 140, 136, 136, 136, 132, 132, 132, 128, 128, 124, 124, 124, 120, 120, 116, 116, 116, 112, 112, 108, 108, 108, 104, 104, 100, 100, 100, 96, 96, 96, 92, 92, 88, 88, 88, 84, 84, 80, 80, 80, 76, 76, 72, 72, 72, 68, 68, 68, 64, 64, 60, 60, 60, 56, 56, 52, 52, 52, 48, 48, 44, 44, 44, 40, 40, 36, 36, 36, 32, 32, 32, 28, 28, 24, 24, 24, 20, 20, 16, 16, 16, 12, 12, 8, 8, 8, 4, 4, 0, 0;252, 252, 252, 252, 252, 252, 252, 252, 252, 252, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 240, 240, 240, 240, 240, 240, 240, 240, 240, 236, 236, 236, 236, 236, 236, 236, 236, 236, 236, 232, 232, 232, 232, 232, 232, 232, 232, 232, 232, 228, 228, 228, 228, 228, 228, 228, 228, 228, 224, 224, 224, 224, 224, 224, 224, 224, 224, 224, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 216, 216, 216, 216, 216, 216, 216, 216, 216, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 208, 208, 208, 208, 208, 208, 208, 208, 208, 208, 204, 204, 204, 204, 204, 204, 204, 204, 204, 200, 200, 200, 196, 196, 196, 192, 192, 188, 188, 188, 184, 184, 180, 180, 180, 176, 176, 172, 172, 172, 168, 168, 168, 164, 164, 160, 160, 160, 156, 156, 152, 152, 152, 148, 148, 144, 144, 144, 140, 140, 136, 136, 136, 132, 132, 132, 128, 128, 124, 124, 124, 120, 120, 116, 116, 116, 112, 112, 108, 108, 108, 104, 104, 100, 100, 100, 96, 96, 96, 92, 92, 88, 88, 88, 84, 84, 80, 80, 80, 76, 76, 72, 72, 72, 68, 68, 68, 64, 64, 60, 60, 60, 56, 56, 52, 52, 52, 48, 48, 44, 44, 44, 40, 40, 36, 36, 36, 32, 32, 32, 28, 28, 24, 24, 24, 20, 20, 16, 16, 16, 12, 12, 8, 8, 8, 4, 4, 0, 0"; lutstr[37] = "47, 46, 45, 44, 42, 41, 40, 39, 37, 36, 35, 33, 32, 30, 29, 27, 26, 24, 23, 21, 19, 18, 16, 14, 12, 10, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 22, 22, 22, 27, 32, 37, 42, 48, 53, 58, 63, 69, 74, 79, 85, 90, 96, 101, 107, 112, 118, 123, 129, 134, 140, 145, 148, 151, 153, 156, 159, 161, 164, 166, 169, 172, 174, 177, 180, 182, 185, 188, 190, 193, 196, 198, 201, 204, 206, 210, 213, 216, 220, 222, 222, 222, 222, 222, 223, 223, 223, 223, 223, 223, 224, 224, 224, 224, 224, 225, 225, 225, 225, 225, 225, 226, 226, 226, 226, 226, 227, 227, 227, 227, 227, 228, 228, 228, 228, 228, 228, 229, 229, 229, 229, 229, 230, 230, 230, 230, 230, 230, 231, 231, 231, 231, 231, 232, 232, 232, 232, 232, 233;2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 13, 15, 18, 20, 23, 26, 28, 31, 33, 36, 39, 41, 44, 47, 49, 52, 55, 58, 60, 63, 66, 69, 71, 74, 77, 80, 82, 85, 88, 91, 94, 96, 99, 102, 105, 108, 111, 114, 116, 119, 122, 125, 128, 131, 134, 137, 140, 143, 146, 149, 152, 155, 158, 161, 164, 167, 170, 173, 176, 179, 182, 185, 188, 191, 194, 198, 198, 198, 198, 198, 199, 199, 199, 199, 199, 200, 200, 200, 200, 200, 201, 201, 201, 201, 202, 202, 202, 203, 203, 203, 204, 204, 204, 205, 205, 205, 206, 206, 206, 207, 207, 207, 208, 208, 208, 209, 209, 209, 210, 210, 210, 211, 211, 211, 212, 212, 212, 213, 213, 213, 214, 214, 214, 215, 215, 215, 216, 216, 216, 217, 217, 217, 217, 217, 218, 218, 218, 218, 218, 218, 219, 219, 219, 219, 219, 219, 219, 220, 220, 220, 220, 220, 220, 221, 221, 221, 221, 221, 221, 220, 217, 214, 212, 209, 206, 203, 200, 197, 194, 191, 188, 185, 182, 178, 175, 172, 169, 166, 163, 160, 157, 154, 151, 148, 145, 141, 138, 135, 132, 129, 126, 122, 119, 116, 113, 110, 106, 103, 100, 97, 94, 90, 87, 84, 80, 77, 74, 71, 67, 64, 61, 57, 54, 51, 47, 44, 41, 37, 34;119, 120, 122, 123, 124, 125, 126, 127, 128, 129, 131, 132, 133, 134, 135, 136, 137, 138, 139, 141, 142, 143, 144, 145, 146, 147, 148, 149, 151, 152, 153, 154, 155, 156, 157, 158, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 191, 191, 191, 192, 192, 192, 192, 192, 193, 193, 193, 193, 193, 194, 194, 194, 194, 194, 195, 195, 195, 195, 195, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 198, 195, 192, 190, 187, 184, 181, 178, 176, 173, 170, 167, 165, 162, 159, 156, 153, 150, 148, 143, 138, 133, 129, 124, 119, 114, 109, 104, 99, 94, 89, 84, 79, 74, 69, 64, 59, 54, 49, 44, 39, 33, 28, 23, 22, 22, 22, 22, 22, 22, 22, 22, 22, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16"; lutstr[38] = "0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 12, 15, 17, 20, 22, 24, 27, 29, 32, 34, 36, 39, 41, 44, 46, 48, 51, 53, 56, 58, 60, 63, 65, 68, 70, 72, 75, 77, 77, 80, 82, 84, 87, 89, 92, 94, 96, 99, 101, 104, 106, 108, 111, 113, 116, 118, 120, 123, 125, 128, 129, 131, 134, 136, 139, 141, 143, 146, 148, 151, 153, 155, 158, 160, 163, 165, 167, 170, 172, 175, 177, 179, 182, 184, 187, 189, 191, 194, 196, 199, 201, 203, 206, 208, 211, 213, 215, 218, 220, 223, 225, 227, 230, 232, 235, 237, 239, 242, 244, 247, 249, 247, 245, 244, 242, 240, 238, 236, 234, 233, 231, 229, 227, 225, 224, 222, 220, 218, 216, 214, 213, 211, 209, 207, 205, 204, 202, 200, 198, 196, 194, 193, 191, 189, 187, 185, 184, 182, 180, 178, 176, 174, 173, 171, 169, 167, 165, 164, 162, 160, 158, 156, 154, 153, 151;0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 15, 20, 24, 29, 34, 39, 44, 48, 53, 58, 63, 68, 72, 77, 82, 87, 92, 96, 101, 106, 111, 116, 120, 125, 129, 134, 139, 143, 148, 153, 158, 163, 167, 172, 177, 182, 187, 191, 196, 201, 206, 211, 215, 220, 225, 230, 235, 239, 244, 249, 247, 244, 242, 239, 237, 235, 232, 230, 227, 225, 223, 220, 218, 215, 213, 211, 208, 206, 203, 201, 199, 196, 194, 191, 189, 187, 184, 182, 182, 179, 177, 175, 172, 170, 167, 165, 163, 160, 158, 155, 153, 151, 148, 146, 143, 141, 139, 136, 134, 131, 129, 128, 125, 123, 120, 118, 116, 113, 111, 108, 106, 104, 101, 99, 96, 94, 92, 89, 87, 84, 82, 80, 77, 75, 72, 70, 68, 65, 63, 60, 58, 56, 53, 51, 48, 46, 44, 41, 39, 36, 34, 32, 29, 27, 24, 22, 20, 17, 15, 12, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 16, 21, 27, 32, 38, 44, 49, 55, 60, 66, 72, 77, 83, 88, 94, 100, 105, 111, 116, 122, 128, 132, 138, 143;0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 219, 224, 229, 234, 239, 244, 249, 244, 239, 235, 230, 225, 220, 215, 211, 206, 201, 196, 191, 187, 182, 177, 172, 167, 163, 158, 153, 148, 143, 139, 134, 129, 125, 120, 116, 111, 106, 101, 96, 92, 87, 82, 77, 72, 68, 63, 58, 53, 48, 44, 39, 34, 29, 24, 20, 15, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 13, 15, 18, 20, 23, 25, 28, 30, 33, 35, 38, 41, 43, 46, 48, 51, 53, 56, 58, 61, 63, 66, 69, 71, 74, 76, 79, 81, 84, 86, 89, 91, 94, 97, 99, 102, 104, 107, 109, 112, 114, 117, 119, 122, 125, 127, 129, 131, 134, 136, 139, 141, 144, 146"; lutstr[39] = "0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 7, 10, 13, 16, 20, 23, 27, 30, 33, 36, 39, 42, 45, 48, 52, 55, 58, 61, 65, 68, 71, 74, 78, 81, 84, 87, 90, 93, 96, 99, 103, 106, 110, 113, 117, 120, 123, 126, 130, 133, 136, 139, 142, 145, 148, 151, 155, 158, 161, 164, 168, 171, 174, 177, 181, 184, 187, 190, 193, 196, 200, 203, 207, 210, 213, 216, 220, 223, 226, 229, 233, 236, 239, 242, 245, 247, 250, 252, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255;0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 6, 9, 12, 16, 19, 22, 25, 29, 32, 35, 38, 42, 45, 48, 51, 55, 58, 61, 64, 68, 71, 74, 77, 81, 84, 87, 90, 94, 97, 100, 103, 106, 109, 112, 115, 119, 122, 126, 129, 133, 136, 139, 142, 145, 148, 151, 154, 158, 161, 164, 167, 171, 174, 177, 180, 184, 187, 190, 193, 197, 200, 203, 206, 209, 212, 216, 219, 223, 226, 229, 232, 236, 239, 242, 245, 249, 250, 252, 253, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255;0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 9, 12, 15, 19, 22, 25, 28, 32, 35, 38, 41, 45, 48, 51, 54, 58, 61, 64, 67, 71, 74, 77, 80, 84, 87, 90, 93, 97, 100, 103, 106, 110, 113, 116, 119, 122, 125, 128, 131, 135, 138, 142, 145, 149, 152, 155, 158, 161, 164, 167, 170, 174, 177, 180, 183, 187, 190, 193, 196, 200, 203, 206, 209, 213, 216, 219, 222, 225, 228, 232, 235, 239, 242, 245, 248, 252, 252, 253, 254, 255, 255, 255, 255, 255, 255, 255, 255"; lutstr[40] = "1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 18, 27, 36, 45, 53, 62, 70, 79, 87, 96, 105, 114, 122, 128, 134, 139, 148, 156, 164, 172, 181, 189, 196, 204, 213, 221, 229, 237, 246, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 252, 250, 248, 245, 243, 241, 239, 237, 235, 233, 231, 228, 226, 224, 222, 222, 222, 222, 222, 222, 222, 222, 222, 222, 222, 222, 222, 222, 222, 222, 222, 222, 224, 226, 228, 231, 233, 235, 237, 239, 241, 243, 245, 248, 250, 252, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254;1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 13, 18, 24, 30, 36, 42, 47, 53, 59, 64, 70, 75, 81, 85, 89, 93, 98, 104, 109, 115, 121, 126, 132, 137, 143, 149, 154, 160, 165, 169, 174, 177, 182, 188, 192, 198, 204, 209, 215, 220, 226, 232, 237, 243, 248, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 252, 250, 248, 245, 243, 241, 239, 237, 235, 233, 231, 228, 226, 224, 222, 222, 219, 217, 214, 211, 209, 206, 203, 201, 198, 195, 193, 191, 188, 186, 184, 182, 180, 176, 173, 169, 166, 162, 159, 155, 152, 148, 145, 141, 138, 134, 129, 131, 127, 122, 118, 114, 110, 105, 101, 97, 93, 88, 84, 80, 76, 71, 66, 68, 64, 59, 55, 50, 46, 41, 37, 32, 28, 23, 19, 14, 10, 5, 1, 1, 14, 26, 39, 52, 64, 76, 89, 102, 115, 127, 140, 153, 166, 178, 183, 188, 192, 194, 196, 199, 201, 203, 205, 207, 209, 211, 213, 216, 218, 220, 222, 222, 224, 226, 228, 231, 233, 235, 237, 239, 241, 243, 245, 248, 250, 252, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254;7, 7, 13, 18, 24, 30, 36, 42, 47, 53, 59, 64, 70, 75, 81, 85, 89, 93, 98, 104, 109, 115, 121, 126, 132, 137, 143, 149, 154, 160, 165, 169, 174, 177, 182, 188, 192, 198, 204, 209, 215, 220, 226, 232, 237, 243, 248, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 238, 222, 206, 191, 175, 159, 143, 127, 111, 95, 79, 64, 48, 32, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 14, 26, 39, 52, 64, 76, 89, 102, 115, 127, 140, 153, 166, 178, 183, 188, 192, 194, 196, 199, 201, 203, 205, 207, 209, 211, 213, 216, 218, 220, 222, 222, 224, 226, 228, 231, 233, 235, 237, 239, 241, 243, 245, 248, 250, 252, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254"; lutstr[41] = "0, 43, 57, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255;0, 28, 35, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 225, 225, 225, 225, 225, 225, 225, 225, 226, 226, 226, 226, 226, 226, 226, 226, 226, 226, 227, 227, 227, 227, 227, 227, 227, 227, 227, 227, 228, 228, 228, 228, 228, 228, 228, 228, 228, 228, 228, 229, 229, 229, 229, 229, 229, 229, 229, 229, 229, 229, 230, 230, 231, 231, 233, 233, 242, 255;0, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 196, 196, 196, 196, 197, 197, 197, 197, 198, 198, 198, 198, 198, 199, 199, 199, 199, 199, 200, 200, 200, 200, 200, 201, 201, 201, 201, 201, 202, 202, 202, 202, 202, 202, 203, 203, 203, 203, 203, 204, 204, 204, 204, 204, 204, 205, 205, 205, 205, 205, 205, 205, 205, 209, 214, 217, 233, 255"; lutstr[42] = "2, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 11, 12, 13, 14, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27, 27, 28, 29, 30, 30, 31, 32, 33, 33, 34, 35, 36, 36, 37, 38, 39, 39, 40, 41, 41, 42, 43, 44, 44, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 52, 53, 54, 55, 55, 56, 57, 58, 58, 59, 60, 61, 61, 62, 63, 64, 64, 64, 65, 65, 66, 67, 68, 68, 69, 70, 71, 71, 72, 73, 74, 74, 75, 76, 77, 77, 78, 79, 80, 80, 81, 82, 83, 83, 84, 85, 86, 86, 87, 88, 89, 89, 90, 91, 92, 92, 93, 94, 95, 95, 96, 97, 98, 98, 99, 100, 101, 101, 102, 103, 102, 105, 106, 107, 109, 111, 112, 113, 114, 116, 117, 119, 122, 125, 128, 130, 133, 136, 139, 142, 145, 149, 152, 156, 159, 163, 166, 189, 173, 177, 179, 182, 185, 189, 191, 194, 196, 199, 201, 203, 205, 207, 209, 210, 212, 213, 215, 216, 218, 220, 221, 222, 224, 222, 226, 227, 228, 229, 229, 230, 231, 233, 234, 236, 238, 239, 240, 240, 241, 242, 242, 243, 245, 246, 247, 248, 248, 249, 249, 250, 250, 251, 252, 252, 253, 253, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254;2, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 11, 12, 13, 14, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27, 27, 28, 29, 30, 30, 31, 32, 33, 33, 34, 35, 36, 36, 37, 38, 39, 39, 40, 41, 41, 42, 43, 44, 44, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 52, 53, 54, 55, 55, 56, 57, 58, 58, 59, 60, 61, 61, 62, 63, 64, 64, 64, 65, 65, 66, 67, 68, 68, 69, 70, 71, 71, 72, 73, 74, 74, 75, 71, 68, 64, 62, 58, 55, 51, 47, 45, 43, 42, 40, 38, 36, 34, 32, 30, 29, 27, 26, 26, 25, 24, 24, 23, 23, 22, 22, 22, 21, 21, 20, 20, 20, 19, 19, 18, 18, 18, 17, 17, 17, 16, 16, 16, 16, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 17, 18, 20, 21, 23, 24, 26, 27, 29, 31, 31, 31, 32, 33, 34, 36, 37, 39, 41, 43, 47, 50, 53, 55, 57, 59, 62, 64, 67, 71, 74, 78, 83, 88, 92, 97, 100, 103, 107, 110, 113, 121, 130, 136, 144, 156, 162, 167, 173, 179, 185, 187, 190, 192, 195, 198, 201, 204, 207, 210, 213, 215, 216, 217, 218, 219, 220, 222, 222, 224, 225, 226, 227, 227, 228, 229, 229, 230, 230, 231, 231, 235, 238, 240, 242, 245, 245, 246, 247, 248, 249, 250, 251, 252, 253, 253;2, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 11, 12, 13, 14, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27, 27, 28, 29, 30, 30, 31, 32, 33, 33, 34, 35, 36, 36, 37, 38, 39, 39, 40, 41, 41, 42, 43, 44, 44, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 52, 53, 54, 55, 55, 56, 57, 58, 58, 59, 60, 61, 61, 62, 63, 64, 64, 64, 65, 65, 66, 67, 68, 68, 69, 70, 71, 71, 72, 73, 74, 74, 75, 71, 66, 62, 58, 53, 48, 43, 40, 38, 36, 34, 32, 30, 28, 26, 24, 22, 21, 20, 19, 19, 18, 18, 17, 17, 17, 16, 16, 15, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 9, 8, 7, 6, 6, 5, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 17, 18, 20, 22, 24, 28, 32, 36, 40, 43, 47, 50, 53, 56, 59, 66, 74, 82, 89, 101, 113, 125, 136, 148, 164, 179, 187, 198, 209, 225, 241, 245, 249, 252, 252"; lutstr[43] = "1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 191, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 251, 254, 250, 247, 243, 239, 236, 232, 229, 225, 221, 218, 214, 210, 208, 205, 201, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 201, 205, 208, 210, 214, 218, 221, 225, 229, 232, 236, 239, 243, 247, 250, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254;1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 191, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 251, 254, 239, 223, 207, 191, 176, 160, 144, 128, 112, 96, 80, 64, 49, 33, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 191, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 251, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254;9, 9, 17, 25, 33, 41, 49, 57, 64, 72, 80, 88, 96, 104, 112, 120, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 191, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 251, 254, 239, 223, 207, 191, 176, 160, 144, 128, 112, 96, 80, 64, 49, 33, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 17, 33, 49, 64, 80, 96, 112, 128, 144, 160, 176, 191, 207, 223, 239, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254"; lutstr[44] = "1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 28, 29, 30, 31, 33, 34, 35, 36, 38, 39, 40, 41, 43, 44, 45, 46, 48, 49, 50, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 67, 70, 72, 75, 77, 80, 82, 85, 87, 92, 95, 97, 100, 102, 105, 107, 110, 112, 115, 117, 120, 122, 125, 127, 130, 134, 138, 142, 147, 156, 160, 164, 169, 173, 178, 182, 186, 191, 194, 199, 203, 207, 212, 216, 221, 225, 229, 234, 251, 252, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253;1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 11, 12, 13, 13, 14, 14, 15, 16, 16, 17, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34, 34, 35, 35, 36, 37, 37, 38, 38, 39, 40, 40, 41, 42, 42, 43, 44, 45, 45, 46, 47, 48, 48, 49, 51, 51, 52, 53, 54, 54, 55, 56, 56, 57, 58, 59, 59, 60, 61, 61, 62, 63, 64, 64, 66, 67, 68, 69, 70, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 81, 82, 83, 86, 87, 88, 90, 91, 93, 94, 96, 97, 99, 100, 102, 103, 105, 106, 108, 109, 111, 112, 115, 117, 118, 119, 121, 122, 124, 125, 127, 128, 130, 132, 134, 136, 139, 141, 143, 145, 147, 150, 154, 156, 159, 161, 163, 165, 167, 170, 172, 174, 176, 178, 181, 183, 185, 187, 191, 192, 194, 196, 201, 203, 206, 208, 210, 213, 215, 217, 220, 222, 224, 227, 229, 231, 234, 236, 238, 241, 243, 242, 247, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253;1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 28, 29, 30, 31, 33, 34, 35, 36, 38, 39, 40, 41, 43, 44, 45, 46, 48, 49, 50, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 67, 70, 72, 75, 77, 80, 82, 85, 87, 92, 95, 97, 100, 102, 105, 107, 110, 112, 115, 117, 120, 122, 125, 127, 130, 134, 138, 142, 147, 156, 160, 164, 169, 173, 178, 182, 186, 191, 194, 199, 203, 207, 212, 216, 221, 225, 229, 234, 244, 251, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253"; lutstr[45] = "70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 69, 69, 68, 67, 66, 64, 63, 61, 59, 57, 55, 53, 51, 48, 45, 43, 40, 37, 34, 31, 28, 26, 23, 20, 17, 14, 12, 9, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 11, 16, 21, 27, 32, 39, 45, 52, 60, 68, 76, 84, 92, 101, 109, 117, 126, 134, 143, 152, 160, 168, 176, 184, 192, 199, 206, 213, 219, 225, 231, 236, 240, 244, 247, 250, 252, 253, 254, 254, 253, 252, 251, 249, 246, 243, 240, 237, 233, 228, 223, 219, 214, 208, 203, 196, 190, 184, 178, 171, 165, 158, 151, 144, 138, 129, 120, 112, 103, 95, 87, 79, 71, 64, 57, 51, 45, 39, 35, 30, 27, 24, 21, 20, 19, 19, 21, 23, 27, 32, 37, 44, 51, 59, 68, 77, 86, 97, 107, 118, 125, 131, 137, 144, 150, 156, 162, 168, 174, 180, 185, 191, 197, 202, 207, 212, 217, 222, 227, 231, 235, 238, 242, 245, 248, 251, 253, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255;0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 17, 22, 27, 32, 38, 44, 50, 57, 63, 70, 77, 84, 91, 98, 106, 113, 121, 128, 136, 144, 152, 160, 168, 176, 183, 191, 198, 205, 212, 218, 224, 230, 235, 240, 245, 249, 253, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 254, 252, 252, 250, 249, 248, 246, 245, 243, 241, 239, 237, 235, 233, 229, 226, 222, 218, 213, 208, 203, 198, 192, 187, 181, 175, 169, 162, 156, 149, 143, 136, 129, 122, 116, 109, 102, 95, 89, 82, 76, 70, 63, 57, 51, 45, 40, 35, 29, 25, 20, 16, 12, 8, 5, 2, 2;115, 115, 116, 118, 120, 122, 124, 126, 128, 131, 133, 136, 139, 141, 144, 147, 151, 154, 157, 160, 164, 167, 170, 174, 177, 181, 184, 188, 194, 200, 206, 211, 217, 222, 227, 232, 236, 240, 244, 248, 251, 253, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 253, 252, 251, 250, 248, 247, 246, 245, 243, 242, 241, 240, 239, 238, 237, 236, 235, 235, 235, 234, 234, 234, 234, 234, 235, 236, 237, 238, 239, 240, 241, 243, 244, 246, 247, 249, 250, 252, 253, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 252, 249, 246, 243, 239, 236, 231, 227, 223, 218, 213, 208, 203, 198, 192, 187, 181, 175, 169, 163, 157, 151, 145, 138, 132, 126, 118, 110, 102, 94, 87, 79, 72, 65, 58, 51, 45, 38, 32, 27, 22, 17, 13, 8, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 5, 8, 10, 12, 14, 16, 17, 19, 21, 23, 25, 26, 28, 30, 31, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 43, 43, 44, 44, 44, 44, 43, 43, 42, 42, 41, 40, 40, 39, 38, 37, 36, 34, 33, 32, 31, 30, 28, 27, 25, 24, 23, 21, 20, 19, 17, 16, 15, 13, 12, 11, 10, 9, 7, 6, 6, 5, 4, 3, 3, 2, 2"; lutstr[46] = "0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 111, 115, 119, 123, 127, 131, 135, 139, 143, 147, 151, 155, 159, 163, 167, 171, 175, 179, 183, 187, 191, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 255, 255, 253, 252, 251, 250, 249, 248, 247, 246, 245, 244, 243, 242, 241, 240, 239, 238, 237, 236, 235, 234, 233, 232, 231, 230, 229, 228, 227, 226, 225, 224, 223, 222, 221, 220, 219, 218, 217, 216, 215, 214, 213, 212, 211, 210, 209, 208, 207, 206, 205, 204, 203, 202, 201, 200, 199, 198, 197, 196, 195, 194, 193, 192, 190, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 255;0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 111, 115, 119, 123, 127, 131, 135, 139, 143, 147, 151, 155, 159, 163, 167, 171, 175, 179, 183, 187, 191, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 255, 255, 251, 247, 243, 239, 235, 231, 227, 223, 219, 215, 211, 207, 203, 199, 195, 191, 187, 183, 179, 175, 171, 167, 163, 159, 155, 151, 147, 143, 139, 135, 131, 127, 123, 119, 115, 111, 107, 103, 99, 95, 91, 87, 83, 79, 75, 71, 67, 63, 59, 55, 51, 47, 43, 39, 35, 31, 27, 23, 19, 15, 11, 7, 0, 0, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 111, 115, 119, 123, 127, 131, 135, 139, 143, 147, 151, 155, 159, 163, 167, 171, 175, 179, 183, 187, 191, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 255;0, 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 92, 95, 97, 100, 103, 106, 109, 112, 115, 118, 121, 124, 127, 130, 133, 136, 139, 142, 145, 148, 151, 154, 157, 160, 163, 166, 169, 172, 175, 178, 181, 184, 190, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 255, 255, 251, 247, 243, 239, 235, 231, 227, 223, 219, 215, 211, 207, 203, 199, 195, 191, 187, 183, 179, 175, 171, 167, 163, 159, 155, 151, 147, 143, 139, 135, 131, 127, 123, 119, 115, 111, 107, 103, 99, 95, 91, 87, 83, 79, 75, 71, 67, 63, 59, 55, 51, 47, 43, 39, 35, 31, 27, 23, 19, 15, 11, 7, 0, 0, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 111, 115, 119, 123, 127, 131, 135, 139, 143, 147, 151, 155, 159, 163, 167, 171, 175, 179, 183, 187, 191, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 255"; lutstr[47] = "0, 2, 4, 7, 9, 11, 14, 16, 19, 21, 23, 26, 28, 31, 33, 35, 38, 40, 43, 45, 47, 50, 52, 54, 57, 59, 62, 64, 66, 69, 71, 74, 76, 78, 81, 83, 86, 88, 90, 93, 95, 98, 100, 102, 105, 107, 109, 112, 114, 117, 119, 121, 124, 126, 129, 131, 133, 136, 138, 141, 143, 145, 148, 150, 153, 155, 157, 160, 162, 164, 167, 169, 172, 174, 176, 179, 181, 184, 186, 188, 191, 193, 196, 198, 204, 204, 204, 205, 205, 206, 206, 207, 208, 208, 209, 209, 210, 211, 211, 212, 212, 213, 214, 214, 215, 215, 216, 217, 217, 218, 218, 219, 220, 220, 221, 221, 222, 223, 223, 224, 224, 225, 226, 226, 227, 227, 228, 229, 229, 230, 230, 231, 232, 232, 233, 233, 234, 235, 235, 236, 236, 237, 238, 238, 239, 239, 240, 241, 241, 242, 242, 243, 244, 244, 245, 245, 246, 247, 247, 248, 248, 249, 250, 250, 251, 251, 252, 253, 253, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255;0, 1, 3, 5, 7, 8, 10, 12, 14, 16, 17, 19, 21, 23, 25, 26, 28, 30, 32, 34, 35, 37, 39, 41, 43, 44, 46, 48, 50, 51, 53, 55, 57, 59, 60, 62, 64, 66, 68, 69, 71, 73, 75, 77, 78, 80, 82, 84, 86, 87, 89, 91, 93, 95, 96, 98, 100, 102, 103, 105, 107, 109, 111, 112, 114, 116, 118, 120, 121, 123, 125, 127, 129, 130, 132, 134, 136, 138, 139, 141, 143, 145, 147, 148, 153, 153, 154, 155, 156, 157, 158, 160, 161, 162, 163, 164, 166, 167, 168, 169, 170, 172, 173, 174, 175, 176, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 190, 191, 192, 193, 194, 196, 197, 198, 199, 200, 202, 203, 204, 205, 206, 207, 209, 210, 211, 212, 213, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 227, 228, 229, 230, 231, 233, 234, 235, 236, 237, 239, 240, 241, 242, 243, 245, 246, 247, 248, 249, 251, 252, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255;0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 92, 95, 98, 101, 104, 107, 110, 113, 116, 119, 122, 125, 128, 131, 134, 137, 140, 143, 146, 149, 152, 155, 158, 161, 164, 167, 170, 173, 176, 179, 182, 185, 188, 191, 194, 197, 200, 203, 206, 209, 212, 215, 218, 221, 224, 227, 230, 233, 236, 239, 242, 245, 248, 251, 255";
var xy = "y"; // This tell if the user should move the cursor in x or y

// Detect the actual LUT used from the global list
function detectLUT() {
	// Get the actual LUTs as a string
	str = getLUTasString();
	// Check if the actual LUTs is an official one and return the index// All LUTs in Fiji 1.53t
	for (i = 0; i < lengthOf(lutstr); i++) {
		if(str == lutstr[i]) return i;
	}	
	return -1;
}

function getLUTasString() {
	getLut(r, g, b);
	str = String.join(r)+";"+String.join(g)+";"+String.join(b);
	return str;
}

// Create and set the gamma modified LUT
function createGammaLUT(gamma) {
	Stack.getPosition(channel, slice, frame);
	str = Property.get("LutForCh"+channel); str = split(str, ";");
	r = newArray(256); g = newArray(256); b = newArray(256);
	rtmp = split(str[0],",");
	gtmp = split(str[1],",");
	btmp = split(str[2],",");
	for (i=0; i<256; i++) {
		ri = parseFloat(rtmp[i]);
		gi = parseFloat(gtmp[i]);
		bi = parseFloat(btmp[i]);
		r[i] = pow(ri/255, gamma)*255;
		g[i] = pow(gi/255, gamma)*255;
		b[i] = pow(bi/255, gamma)*255;
	}
	setLut(r,g,b);
}

function cleanGammaAndLutInProperties() {
	// Detect the actual LUT and set gamma to 1 if it's unmodified
	Stack.getPosition(channel, slice, frame);
	detected = -1; detected = detectLUT();
	if (detected != -1) { // If LUT is in standard list set property
		Property.set("GammaForCh"+channel, 1.0);
		Property.set("LutForCh"+channel, lutstr[detected]);
	} else {
		gamma = Property.get("GammaForCh"+channel);
		if (gamma == "") { // If LUT is custom and no properties, gamma is 1
			Property.set("GammaForCh"+channel, 1.0);
			str = getLUTasString();
			Property.set("LutForCh"+channel, str);
		}
	}
}

macro "Min Max Gamma Tool - C059D00D01D02D03D04D05D06D07D08D09D0aD0bD0cD0dD0eD0fD10D1fD20D24D2cD2dD2eD2fD30D34D3aD3bD3cD3dD3eD3fD40D44D48D49D4aD4bD4cD4dD4eD4fD50D54D57D58D59D5aD5bD5cD5dD5eD5fD60D66D67D68D69D6aD6bD6cD6dD6eD6fD70D75D76D77D78D79D7aD7bD7cD7dD7eD7fD80D84D85D86D87D88D89D8bD8cD8dD8eD8fD90D94D95D96D97D98D99D9bD9cD9dD9eD9fDa0Da3Da4Da5Da6Da7DadDaeDafDb0Db3Db4Db5Db6Db7Db8Db9DbbDbcDbdDbeDbfDc0Dc2Dc3Dc4Dc5Dc6Dc7Dc8Dc9DcbDccDcdDceDcfDd0Dd2Dd3Dd4Dd5Dd6Dd7Dd8Dd9DdaDdbDdcDddDdeDdfDe0De2De3De4De5De6De7De8De9DeaDebDecDedDeeDefDf0Df1Df2Df3Df4Df5Df6Df7Df8Df9DfaDfbDfcDfdDfeDffCfffD11D12D13D14D15D16D17D18D19D1aD1bD1cD1dD1eD21D22D23D25D26D27D28D29D2aD2bD31D32D33D35D36D37D38D39D41D42D43D45D46D47D51D52D53D55D56D61D62D63D64D65D71D72D73D74D81D82D83D8aD91D92D93D9aDa1Da2Da8Da9DaaDabDacDb1Db2DbaDc1DcaDd1De1" {
	// Only composite images are allowed
	if (bitDepth==24) exit ("Non RGB image expected");
	
	// Clean the gamma and the LUT recorded in image properties
	cleanGammaAndLutInProperties();
	
	// Var for cursor localisation
	x2=-1; y2=-1; z2=-1; flags2=-1;
	range = Math.pow(2, bitDepth)-1;
	getDisplayedArea(xw, yw, width, height);
	
	// Get initial position and initial min/max/gamma
	getCursorLoc(x1, y1, z, flags);
	getMinAndMax(min1, max1);
	Stack.getPosition(channel, slice, frame);
	gamma1 = parseFloat(Property.get("GammaForCh"+channel));
	
	// Initialize flags (left is mouse click)
	shift = false; ctrl = false; alt = false;
	
	// Loop for live changes in min/max/gamma
	while (flags&16!=0) { // flag for left mouse click
	getCursorLoc(x, y, z, flags);
	if (x!=x2 || y!=y2 || z!=z2 || flags!=flags2) {
		if (flags&1!=0) shift = true;
		if (flags&2!=0) ctrl = true;
		if (flags&8!=0) alt = true;
		
		// If no changes
		min2 = min1; max2 = max1; gamma2 = gamma1;
		if (alt) speed = 5; else speed = 1;
		if (xy == "x") cursorChange = (x-x1)/width*speed;
		if (xy == "y") cursorChange = (y-y1)/height*speed;
		
				// Change max
		if (!shift && !ctrl) {
			max2 = max1 + cursorChange/10*range;
			setMinAndMax(min2, max2);
		}
		
		// Change min
		if (!shift && ctrl) {
			min2 = min2 + cursorChange/10*range;
			setMinAndMax(min2, max2);
		}
		
		// Change gamma
		if (shift && !ctrl) {
			gamma2 = gamma1 + cursorChange*2;
			createGammaLUT(gamma2);
			Property.set("GammaForCh"+channel, gamma2);
		}

		// Show status
		status = "!Min (ctrl): "+d2s(min2,0)+
				 "  Max (no key):"+d2s(max2,0)+
				 "  Gamma (shift): "+d2s(gamma2,2);
		showStatus(status);
	}
	x2=x; y2=y; z2=z; flags2=flags;
	wait(10);
	}
	showStatus("");
}

macro "Min Max Gamma Tool Options" {
	// Avoid error if no image are opened
	im = getList("image.titles");
	min1 = 0; max1 = 65535; gamma1 = 1.0;
	if (lengthOf(im)>0) {
		// Only composite images are allowed
		if (bitDepth==24) exit ("Non RGB image expected");
		
		// Clean the gamma and the LUT recorded in image properties
		cleanGammaAndLutInProperties();
		
		// Get min, max and gamma from the image
		getMinAndMax(min1, max1);
		Stack.getPosition(channel, slice, frame);
		gamma1 = parseFloat(Property.get("GammaForCh"+channel));
		if (isNaN(gamma1)) gamma1 = 1.0;
	}

	// Dialog window for the options
	Dialog.create("Min/Max/Gamma");
	Dialog.setInsets(10, 0, 0);
	Dialog.addMessage("Values :") ;
	Dialog.addNumber("min", min1);
	Dialog.addNumber("max", max1);
	Dialog.addNumber("gamma", gamma1);
	Dialog.setInsets(10, 0, 0);
	Dialog.addRadioButtonGroup("Move cursor in :", newArray("x","y"), 1, 2, "y");
	Dialog.setInsets(10, 0, 0);
	Dialog.addMessage("Reset :") ;
	Dialog.setInsets(0, 10, 0);
	Dialog.addCheckboxGroup(2, 2, newArray("min","gamma","max"),newArray(false,false,false));
	Dialog.addHelp("https://github.com/alexandrebastien/ImageJ-Script-Collection");
	Dialog.show();
	min2 = Dialog.getNumber();
	max2 = Dialog.getNumber();
	gamma2 = Dialog.getNumber();
	xy = Dialog.getRadioButton();
	reset_min = Dialog.getCheckbox();
	reset_gamma = Dialog.getCheckbox();
	reset_max = Dialog.getCheckbox();
	
	// Check for resets
	range = Math.pow(2, bitDepth)-1;
	if (reset_min) min2 = 0;
	if (reset_max) max2 = range;
	if (reset_gamma) gamma2 = 1;
	
	// Apply modifications
	setMinAndMax(min2, max2);
	createGammaLUT(gamma2);
	Property.set("GammaForCh"+channel, gamma2);
}