360 3 0
  (1, 2, 5, 10, 18, 30, 17, 23, 37, 51, 74, 99, 69, 84, 117, 145, 192, 232, 181,
    210, 262, 211, 4, 6, 12, 19, 32, 47, 29, 38, 57, 75, 105, 136, 98, 118, 159,
    193, 244, 280, 231, 263, 310, 264, 9, 13, 22, 33, 50, 70, 46, 58, 83, 106, 
    144, 182, 135, 160, 209, 161)(3, 7, 11, 20, 31, 48, 28, 44, 56, 81, 104, 
    142, 97, 133, 158, 207, 243, 291, 230, 121, 162, 195, 8, 15, 21, 35, 49, 72,
    45, 67, 82, 115, 143, 190, 134, 179, 208, 261, 292, 328, 279, 165, 212, 247,
    16, 27, 36, 55, 73, 103, 68, 96, 116, 157, 191, 242, 180, 85, 119, 146)(14, 
    24, 34, 52, 71, 100, 66, 90, 114, 151, 189, 236, 178, 220, 260, 300, 327, 
    346, 164, 214, 246, 294, 26, 40, 54, 77, 102, 138, 95, 126, 156, 200, 241, 
    284, 229, 271, 309, 333, 352, 358, 215, 267, 295, 330, 43, 62, 80, 110, 141,
    185, 132, 170, 206, 252, 290, 320, 120, 163, 194, 245)(25, 41, 53, 78, 101, 
    139, 94, 130, 155, 204, 240, 288, 228, 266, 308, 329, 351, 61, 86, 109, 147,
    184, 42, 64, 79, 112, 140, 187, 131, 176, 205, 258, 289, 325, 278, 312, 339,
    353, 360, 89, 122, 150, 196, 235, 65, 93, 113, 154, 188, 239, 177, 213, 259,
    293, 326, 39, 59, 76, 107, 137)(60, 87, 108, 148, 183, 233, 63, 91, 111, 
    152, 186, 237, 175, 226, 257, 306, 324, 349, 311, 274, 313, 335, 88, 124, 
    149, 198, 234, 282, 92, 128, 153, 202, 238, 286, 227, 277, 307, 338, 350, 
    359, 340, 315, 341, 355, 125, 169, 199, 251, 283, 319, 129, 174, 203, 256, 
    287, 323, 265, 221, 272, 301)(123, 166, 197, 248, 281, 316, 127, 171, 201, 
    253, 285, 167, 217, 249, 297, 317, 343, 172, 223, 254, 303, 321, 168, 216, 
    250, 296, 318, 342, 173, 222, 255, 302, 322, 218, 269, 298, 332, 344, 357, 
    224, 276, 304, 337, 347, 219, 268, 299, 331, 345, 356, 225, 275, 305, 336, 
    348, 270, 273, 314, 334, 354).
  (1, 3, 2)(4, 8, 6)(5, 11, 10)(7, 14, 25)(9, 16, 13)(12, 21, 19)(15, 26, 
    42)(17, 28, 23)(18, 31, 30)(20, 34, 53)(22, 36, 33)(24, 39, 60)(27, 43, 
    65)(29, 45, 38)(32, 49, 47)(35, 54, 79)(37, 56, 51)(40, 61, 88)(41, 63, 
    90)(44, 66, 94)(46, 68, 58)(48, 71, 101)(50, 73, 70)(52, 76, 108)(55, 80, 
    113)(57, 82, 75)(59, 85, 120)(62, 89, 125)(64, 92, 126)(67, 95, 131)(69, 97,
    84)(72, 102, 140)(74, 104, 99)(77, 109, 149)(78, 111, 151)(81, 114, 155)(83,
    116, 106)(86, 121, 164)(87, 123, 167)(91, 127, 172)(93, 129, 170)(96, 132, 
    177)(98, 134, 118)(100, 137, 183)(103, 141, 188)(105, 143, 136)(107, 146, 
    194)(110, 150, 199)(112, 153, 200)(115, 156, 205)(117, 158, 145)(119, 161, 
    209)(122, 165, 215)(124, 168, 218)(128, 173, 224)(130, 175, 220)(133, 178, 
    228)(135, 180, 160)(138, 184, 234)(139, 186, 236)(142, 189, 240)(144, 191, 
    182)(147, 195, 246)(148, 197, 249)(152, 201, 254)(154, 203, 252)(157, 206, 
    259)(159, 208, 193)(162, 211, 262)(163, 213, 265)(166, 174, 225)(169, 219, 
    270)(171, 221, 273)(176, 227, 271)(179, 229, 278)(181, 230, 210)(185, 235, 
    283)(187, 238, 284)(190, 241, 289)(192, 243, 232)(196, 247, 295)(198, 250, 
    298)(202, 255, 304)(204, 257, 300)(207, 260, 308)(212, 264, 310)(214, 266, 
    311)(216, 226, 217)(222, 274, 223)(231, 279, 263)(233, 281, 317)(237, 285, 
    321)(239, 287, 320)(242, 290, 326)(244, 292, 280)(245, 293, 272)(248, 256, 
    305)(251, 299, 314)(253, 301, 334)(258, 307, 333)(261, 309, 339)(267, 312, 
    340)(268, 277, 269)(275, 315, 276)(282, 318, 344)(286, 322, 347)(288, 324, 
    346)(291, 327, 351)(294, 329, 313)(296, 306, 297)(302, 335, 303)(316, 323, 
    348)(319, 345, 354)(325, 350, 358)(328, 352, 360)(330, 353, 341)(331, 338, 
    332)(336, 355, 337)(342, 349, 343)(356, 359, 357).
  (1, 4, 9, 17, 29, 46, 69, 98, 135, 181, 231, 5, 12, 22, 37, 57, 83, 117, 159, 
    209, 262, 310, 18, 32, 50, 74, 105, 144, 192, 244)(2, 6, 13, 23, 38, 58, 84,
    118, 160, 210, 263, 10, 19, 33, 51, 75, 106, 145, 193, 161, 211, 264, 30, 
    47, 70, 99, 136, 182, 232, 280)(3, 8, 16, 28, 45, 68, 97, 134, 180, 230, 
    279, 11, 21, 36, 56, 82, 116, 158, 208, 119, 162, 212, 31, 49, 73, 104, 143,
    191, 243, 292)(7, 15, 27, 44, 67, 96, 133, 179, 85, 121, 165, 20, 35, 55, 
    81, 115, 157, 207, 261, 146, 195, 247, 48, 72, 103, 142, 190, 242, 291, 
    328)(14, 26, 43, 66, 95, 132, 178, 229, 120, 164, 215, 34, 54, 80, 114, 156,
    206, 260, 309, 194, 246, 295, 71, 102, 141, 189, 241, 290, 327, 352)(24, 40,
    62, 90, 126, 170, 220, 271, 163, 214, 267, 52, 77, 110, 151, 200, 252, 300, 
    333, 245, 294, 330, 100, 138, 185, 236, 284, 320, 346, 358)(25, 42, 65, 94, 
    131, 177, 228, 278, 59, 86, 122, 53, 79, 113, 155, 205, 259, 308, 339, 107, 
    147, 196, 101, 140, 188, 240, 289, 326, 351, 360)(39, 61, 89, 41, 64, 93, 
    130, 176, 213, 266, 312, 76, 109, 150, 78, 112, 154, 204, 258, 293, 329, 
    353, 137, 184, 235, 139, 187, 239, 288, 325)(60, 88, 125, 63, 92, 129, 175, 
    227, 265, 311, 340, 108, 149, 199, 111, 153, 203, 257, 307, 272, 313, 341, 
    183, 234, 283, 186, 238, 287, 324, 350)(87, 124, 169, 91, 128, 174, 226, 
    277, 221, 274, 315, 148, 198, 251, 152, 202, 256, 306, 338, 301, 335, 355, 
    233, 282, 319, 237, 286, 323, 349, 359)(123, 168, 219, 127, 173, 225, 217, 
    269, 273, 223, 276, 197, 250, 299, 201, 255, 305, 297, 332, 334, 303, 337, 
    281, 318, 345, 285, 322, 348, 343, 357)(166, 216, 268, 171, 222, 275, 249, 
    298, 314, 254, 304, 248, 296, 331, 253, 302, 336, 317, 344, 354, 321, 347, 
    316, 342, 356, 167, 218, 270, 172, 224).
