{{3, 3, 3, 6, 7, 9, 8, 7, 10, 9, 10, 10, 14, 16, 13, 12, 15, 26, 19, 15, 25, 16, 21, 21, 23, 29, 22, 19, 29, 33, 32, 33, 24, 42, 32, 29, 42, 36, 27, 36, 37, 43, 34, 37, 46, 49, 32, 44, 45, 59, 48, 50, 63, 48, 48, 55, 62, 43, 57, 61, 70, 63, 60, 68, 58, 69, 56, 65, 68, 71, 70, 66, 76, 65, 62, 69, 77, 74, 72, 74, 84, 92, 65, 74, 90, 84, 77, 85, 95, 86, 88, 100, 108, 91, 87, 95, 92, 107, 84, 89, 106, 97, 100, 101, 99, 109, 108, 119, 102, 104, 114, 110, 106, 128, 105, 112, 112, 112, 105, 118, 121, 113, 122, 120, 134, 114, 128, 134, 113, 138, 113, 130, 133, 134, 125, 129, 127, 124, 130, 132, 144, 136, 136, 140, 141, 152, 116, 151, 159, 149, 138, 142, 159, 154, 146, 165, 159, 159, 145, 150, 144, 168, 155, 147, 178, 155, 180, 154, 158, 171, 169, 178, 149, 173, 173, 167, 156, 208, 149, 169, 175, 165, 169, 194, 174, 172, 178, 196, 193, 176, 190, 193, 185, 206, 181, 181, 207, 197, 190, 205, 194, 186, 196, 194, 208, 198, 191, 207, 206, 216, 201, 204, 210, 216, 198, 208, 227, 219, 209, 232, 219, 219, 215, 214, 223, 237, 203, 205, 234, 223, 245, 222, 209, 247, 213, 234, 212, 226, 238, 223, 229, 263, 232, 236, 236, 243, 247, 249, 241, 236, 243}, {3, 3, 5, 8, 5, 9, 7, 8, 11, 12, 9, 12, 13, 19, 17, 15, 20, 28, 16, 16, 23, 21, 22, 20, 32, 28, 22, 22, 31, 27, 32, 32, 33, 42, 31, 29, 39, 36, 37, 37, 46, 50, 25, 33, 43, 49, 47, 51, 45, 56, 49, 42, 51, 58, 56, 59, 63, 65, 55, 57, 65, 62, 56, 74, 58, 77, 57, 62, 62, 71, 62, 61, 87, 72, 76, 73, 67, 78, 68, 90, 69, 88, 67, 75, 78, 78, 87, 88, 91, 84, 96, 91, 88, 99, 88, 89, 93, 98, 101, 104, 95, 105, 103, 105, 125, 106, 98, 101, 109, 109, 113, 106, 84, 83, 82, 104, 91, 112, 126, 129, 106, 123, 119, 107, 118, 141, 123, 94, 120, 111, 113, 124, 127, 129, 150, 126, 129, 116, 136, 125, 133, 148, 156, 130, 115, 131, 134, 148, 131, 164, 141, 153, 142, 137, 143, 172, 146, 164, 152, 144, 145, 172, 162, 135, 151, 164, 151, 153, 177, 159, 165, 158, 168, 177, 211, 165, 159, 163, 159, 171, 157, 187, 181, 181, 189, 177, 190, 160, 167, 193, 179, 168, 194, 189, 180, 198, 184, 179, 203, 216, 196, 194, 203, 201, 207, 203, 217, 199, 187, 195, 204, 213, 209, 225, 220, 215, 209, 210, 184, 218, 202, 232, 213, 194, 218, 235, 220, 209, 210, 219, 222, 224, 257, 237, 229, 219, 229, 241, 273, 242, 214, 232, 225, 239, 222, 246, 244, 257, 233, 242, 232}, {3, 3, 4, 5, 7, 8, 8, 10, 12, 11, 13, 11, 15, 15, 15, 20, 17, 19, 28, 13, 14, 20, 14, 19, 18, 19, 27, 29, 26, 36, 28, 38, 38, 26, 41, 31, 36, 36, 29, 39, 33, 35, 40, 43, 47, 48, 45, 51, 53, 40, 44, 49, 55, 64, 46, 48, 67, 46, 59, 60, 47, 58, 59, 72, 70, 61, 79, 65, 60, 61, 59, 69, 58, 62, 61, 78, 77, 73, 80, 84, 80, 75, 68, 94, 80, 100, 74, 79, 96, 87, 95, 102, 86, 80, 84, 90, 110, 85, 91, 87, 93, 102, 93, 91, 93, 94, 93, 114, 91, 111, 97, 113, 104, 109, 105, 118, 108, 124, 92, 120, 125, 116, 125, 108, 121, 109, 130, 132, 145, 117, 143, 145, 116, 128, 129, 128, 125, 121, 138, 150, 134, 148, 137, 151, 152, 127, 127, 146, 152, 159, 140, 133, 164, 147, 160, 164, 138, 147, 160, 156, 167, 151, 166, 154, 163, 171, 146, 150, 150, 168, 155, 168, 144, 173, 171, 184, 176, 167, 169, 178, 185, 180, 175, 184, 175, 179, 197, 170, 178, 176, 188, 183, 201, 177, 193, 201, 173, 171, 201, 182, 174, 193, 184, 192, 191, 208, 189, 229, 226, 199, 199, 216, 204, 194, 185, 203, 234, 216, 213, 214, 215, 211, 219, 235, 236, 223, 246, 215, 207, 217, 215, 238, 220, 226, 230, 228, 219, 232, 238, 257, 236, 236, 240, 229, 231, 256, 221, 259, 240, 238, 252}, {3, 3, 3, 5, 4, 5, 8, 6, 6, 10, 11, 10, 9, 11, 12, 14, 12, 20, 17, 21, 21, 20, 22, 21, 19, 28, 26, 33, 26, 28, 32, 35, 27, 38, 34, 41, 36, 35, 40, 35, 40, 41, 41, 38, 43, 37, 51, 46, 47, 61, 39, 43, 50, 51, 50, 51, 56, 56, 48, 56, 58, 57, 70, 64, 69, 71, 59, 73, 65, 71, 71, 67, 76, 72, 72, 67, 80, 69, 78, 66, 71, 91, 71, 81, 76, 88, 87, 80, 89, 91, 78, 89, 103, 85, 103, 106, 92, 99, 98, 95, 95, 135, 80, 83, 80, 89, 88, 89, 88, 72, 94, 91, 91, 121, 89, 117, 99, 106, 105, 108, 115, 133, 112, 118, 122, 114, 133, 141, 123, 137, 125, 123, 135, 121, 140, 126, 142, 132, 132, 139, 142, 121, 128, 129, 141, 140, 120, 143, 132, 138, 130, 123, 155, 149, 144, 151, 181, 156, 178, 169, 156, 151, 174, 155, 148, 213, 134, 127, 135, 143, 141, 158, 151, 127, 165, 154, 168, 164, 153, 183, 148, 167, 169, 173, 187, 208, 168, 179, 195, 172, 195, 211, 188, 187, 183, 191, 193, 203, 201, 194, 203, 201, 197, 211, 208, 192, 198, 191, 207, 219, 190, 228, 185, 198, 202, 199, 221, 217, 220, 225, 196, 184, 184, 201, 195, 223, 208, 215, 225, 240, 226, 213, 228, 238, 216, 218, 246, 208, 215, 220, 240, 260, 218, 242, 233, 233, 246, 236, 258, 239, 227}, {3, 4, 5, 4, 6, 7, 13, 4, 8, 8, 14, 6, 12, 14, 26, 6, 10, 11, 17, 11, 15, 17, 32, 9, 17, 15, 31, 14, 27, 29, 56, 9, 12, 15, 23, 17, 22, 27, 38, 20, 25, 27, 39, 31, 44, 51, 62, 22, 31, 26, 43, 29, 42, 36, 71, 28, 47, 34, 52, 40, 49, 58, 86, 37, 45, 37, 49, 41, 56, 59, 73, 45, 56, 52, 73, 67, 73, 81, 91, 42, 68, 40, 54, 48, 62, 68, 93, 44, 63, 64, 79, 67, 88, 101, 114, 59, 78, 63, 86, 74, 98, 95, 110, 78, 89, 85, 106, 115, 108, 96, 133, 80, 123, 47, 77, 60, 80, 71, 140, 51, 86, 73, 108, 85, 112, 118, 175, 71, 91, 71, 93, 89, 110, 102, 118, 93, 115, 96, 126, 136, 149, 131, 139, 99, 140, 89, 103, 106, 122, 127, 146, 98, 117, 127, 138, 147, 152, 176, 181, 111, 133, 116, 161, 130, 164, 162, 173, 126, 155, 140, 168, 174, 167, 163, 191, 144, 191, 84, 125, 104, 120, 104, 167, 95, 133, 118, 152, 126, 164, 166, 205, 135, 154, 132, 150, 158, 164, 154, 209, 164, 179, 157, 194, 199, 203, 196, 226, 156, 201, 141, 184, 166, 193, 171, 219, 151, 160, 173, 192, 211, 216, 231, 240, 173, 202, 191, 204, 209, 224, 224, 219, 201, 198, 214, 212, 236, 229, 233, 249, 233, 238, 142, 184, 161, 201, 172, 254, 164, 188, 183, 229}, {3, 3, 4, 6, 7, 5, 9, 9, 10, 12, 15, 13, 15, 15, 21, 15, 18, 21, 18, 24, 25, 24, 22, 23, 28, 36, 26, 26, 29, 30, 38, 29, 38, 32, 30, 41, 34, 38, 42, 41, 46, 48, 43, 43, 46, 36, 58, 38, 54, 46, 49, 52, 63, 49, 53, 62, 51, 56, 62, 49, 56, 58, 73, 54, 69, 52, 63, 73, 66, 62, 75, 63, 75, 65, 77, 69, 71, 61, 90, 69, 87, 80, 81, 77, 88, 71, 82, 95, 79, 90, 84, 77, 86, 99, 85, 80, 97, 77, 77, 83, 97, 99, 92, 107, 94, 94, 116, 87, 109, 90, 112, 103, 113, 118, 101, 108, 117, 112, 117, 124, 114, 110, 130, 114, 117, 118, 120, 125, 142, 113, 124, 141, 147, 107, 128, 130, 131, 124, 141, 127, 138, 116, 152, 134, 155, 139, 145, 131, 142, 136, 138, 157, 141, 131, 144, 148, 158, 154, 153, 154, 158, 142, 142, 151, 176, 161, 163, 176, 159, 158, 179, 146, 172, 157, 193, 181, 177, 177, 166, 171, 196, 179, 177, 202, 183, 162, 199, 170, 166, 206, 180, 181, 187, 173, 180, 209, 181, 171, 186, 208, 195, 173, 219, 189, 187, 192, 226, 199, 194, 197, 223, 197, 208, 198, 218, 227, 231, 196, 203, 202, 222, 224, 203, 198, 226, 203, 202, 233, 225, 236, 223, 236, 210, 213, 245, 200, 228, 240, 241, 244, 233, 221, 225, 221, 258, 235, 241, 266, 229, 227, 269}}