Graph forms
for C4 [ 432, 21 ] = PS(12,72;11)
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 432, 21 ] =
PS(12,72;11).
(I) Following is a form readable by MAGMA:
g:=Graph<432|{ {72, 78}, {288, 294}, {216, 223}, {211, 218}, {213, 220}, {215,
222}, {67, 73}, {70, 76}, {71, 77}, {100, 111}, {324, 335}, {320, 331}, {210,
217}, {214, 221}, {176, 188}, {387, 399}, {386, 398}, {385, 397}, {177, 189},
{178, 190}, {179, 191}, {99, 110}, {323, 334}, {321, 332}, {68, 74}, {69, 75},
{98, 109}, {322, 333}, {212, 219}, {128, 146}, {360, 378}, {357, 375}, {356,
374}, {353, 371}, {352, 370}, {141, 159}, {140, 158}, {137, 155}, {136, 154},
{133, 151}, {132, 150}, {129, 147}, {128, 147}, {360, 379}, {356, 375}, {352,
371}, {140, 159}, {136, 155}, {132, 151}, {172, 184}, {396, 408}, {391, 403},
{390, 402}, {389, 401}, {388, 400}, {175, 187}, {174, 186}, {173, 185}, {101,
112}, {355, 374}, {353, 372}, {139, 158}, {137, 156}, {131, 150}, {129, 148},
{103, 114}, {130, 148}, {355, 373}, {354, 372}, {139, 157}, {138, 156}, {131,
149}, {102, 113}, {392, 415}, {384, 407}, {354, 373}, {168, 191}, {160, 183},
{138, 157}, {130, 149}, {96, 120}, {324, 348}, {323, 347}, {322, 346}, {321,
345}, {320, 344}, {103, 127}, {102, 126}, {101, 125}, {100, 124}, {99, 123},
{98, 122}, {97, 121}, {161, 184}, {391, 414}, {389, 412}, {387, 410}, {385,
408}, {167, 190}, {165, 188}, {163, 186}, {104, 115}, {390, 413}, {386, 409},
{166, 189}, {162, 185}, {108, 119}, {169, 181}, {395, 407}, {394, 406}, {393,
405}, {392, 404}, {171, 183}, {170, 182}, {105, 116}, {359, 378}, {357, 376},
{135, 154}, {133, 152}, {107, 118}, {134, 152}, {359, 377}, {358, 376}, {135,
153}, {192, 222}, {193, 223}, {64, 95}, {388, 411}, {358, 377}, {164, 187},
{134, 153}, {106, 117}, {288, 319}, {65, 96}, {67, 98}, {69, 100}, {71, 102},
{259, 290}, {261, 292}, {263, 294}, {265, 296}, {267, 298}, {269, 300}, {271,
302}, {273, 304}, {275, 306}, {277, 308}, {279, 310}, {281, 312}, {283, 314},
{285, 316}, {287, 318}, {194, 224}, {195, 225}, {198, 228}, {199, 229}, {202,
232}, {203, 233}, {206, 236}, {207, 237}, {210, 240}, {211, 241}, {214, 244},
{215, 245}, {4, 39}, {8, 43}, {12, 47}, {16, 51}, {20, 55}, {24, 59}, {28, 63},
{66, 97}, {70, 101}, {220, 255}, {258, 289}, {262, 293}, {266, 297}, {270, 301},
{274, 305}, {278, 309}, {282, 313}, {286, 317}, {1, 37}, {2, 38}, {3, 39}, {8,
44}, {9, 45}, {10, 46}, {11, 47}, {16, 52}, {17, 53}, {18, 54}, {19, 55}, {24,
60}, {25, 61}, {26, 62}, {27, 63}, {217, 253}, {218, 254}, {219, 255}, {3, 38},
{9, 44}, {11, 46}, {17, 52}, {19, 54}, {25, 60}, {27, 62}, {219, 254}, {196,
226}, {197, 227}, {204, 234}, {205, 235}, {212, 242}, {213, 243}, {2, 37}, {10,
45}, {18, 53}, {26, 61}, {68, 99}, {218, 253}, {260, 291}, {268, 299}, {276,
307}, {284, 315}, {88, 112}, {95, 119}, {94, 118}, {93, 117}, {92, 116}, {91,
115}, {90, 114}, {89, 113}, {159, 182}, {395, 418}, {393, 416}, {64, 106}, {65,
107}, {256, 298}, {257, 299}, {260, 302}, {261, 303}, {272, 314}, {273, 315},
{276, 318}, {277, 319}, {158, 181}, {394, 417}, {192, 235}, {196, 239}, {208,
251}, {4, 40}, {5, 41}, {6, 42}, {7, 43}, {20, 56}, {21, 57}, {22, 58}, {23,
59}, {5, 40}, {351, 370}, {349, 368}, {143, 162}, {141, 160}, {7, 42}, {21, 56},
{23, 58}, {193, 236}, {195, 238}, {209, 252}, {66, 108}, {351, 369}, {350, 368},
{143, 161}, {142, 160}, {200, 230}, {201, 231}, {216, 246}, {258, 300}, {259,
301}, {274, 316}, {275, 317}, {6, 41}, {396, 419}, {350, 369}, {142, 161}, {22,
57}, {72, 103}, {80, 127}, {194, 237}, {264, 295}, {280, 311}, {384, 432}, {73,
120}, {75, 122}, {77, 124}, {79, 126}, {144, 162}, {349, 367}, {348, 366}, {345,
363}, {344, 362}, {74, 121}, {348, 367}, {344, 363}, {144, 163}, {78, 125},
{197, 240}, {347, 366}, {345, 364}, {199, 242}, {205, 248}, {207, 250}, {262,
304}, {347, 365}, {346, 364}, {329, 383}, {328, 382}, {263, 305}, {270, 312},
{271, 313}, {76, 123}, {346, 365}, {328, 383}, {198, 241}, {206, 249}, {85,
109}, {86, 110}, {87, 111}, {325, 380}, {327, 382}, {264, 306}, {327, 381},
{326, 380}, {265, 307}, {268, 310}, {269, 311}, {283, 289}, {286, 292}, {287,
293}, {200, 243}, {326, 381}, {204, 247}, {12, 48}, {13, 49}, {14, 50}, {15,
51}, {13, 48}, {343, 362}, {15, 50}, {201, 244}, {203, 246}, {208, 238}, {343,
361}, {325, 379}, {209, 239}, {266, 308}, {267, 309}, {284, 290}, {285, 291},
{14, 49}, {342, 361}, {202, 245}, {272, 303}, {181, 247}, {184, 250}, {185,
251}, {40, 107}, {256, 323}, {292, 352}, {293, 353}, {294, 354}, {295, 355},
{300, 360}, {41, 108}, {157, 216}, {151, 210}, {149, 208}, {257, 324}, {186,
252}, {150, 209}, {1, 72}, {152, 211}, {156, 215}, {296, 356}, {297, 357}, {298,
358}, {299, 359}, {37, 104}, {155, 214}, {153, 212}, {39, 106}, {182, 248},
{183, 249}, {38, 105}, {154, 213}, {145, 193}, {159, 207}, {158, 206}, {157,
205}, {156, 204}, {155, 203}, {154, 202}, {153, 201}, {152, 200}, {151, 199},
{150, 198}, {149, 197}, {148, 196}, {147, 195}, {146, 194}, {305, 352}, {307,
354}, {309, 356}, {311, 358}, {313, 360}, {306, 353}, {310, 357}, {181, 224},
{183, 226}, {189, 232}, {191, 234}, {54, 96}, {55, 97}, {62, 104}, {63, 105},
{278, 320}, {279, 321}, {182, 225}, {190, 233}, {308, 355}, {56, 98}, {57, 99},
{60, 102}, {61, 103}, {280, 322}, {281, 323}, {148, 207}, {184, 227}, {188,
231}, {28, 64}, {29, 65}, {30, 66}, {31, 67}, {29, 64}, {147, 206}, {145, 204},
{31, 66}, {185, 228}, {187, 230}, {58, 100}, {59, 101}, {282, 324}, {30, 65},
{146, 205}, {186, 229}, {312, 359}, {43, 74}, {45, 76}, {47, 78}, {49, 80}, {51,
82}, {53, 84}, {55, 86}, {57, 88}, {59, 90}, {61, 92}, {63, 94}, {187, 217},
{190, 220}, {191, 221}, {32, 67}, {36, 71}, {42, 73}, {46, 77}, {50, 81}, {54,
85}, {58, 89}, {62, 93}, {32, 68}, {33, 69}, {34, 70}, {35, 71}, {33, 68}, {35,
70}, {188, 218}, {189, 219}, {34, 69}, {44, 75}, {52, 83}, {60, 91}, {301, 325},
{319, 343}, {318, 342}, {317, 341}, {302, 326}, {303, 327}, {312, 336}, {313,
337}, {314, 338}, {315, 339}, {316, 340}, {169, 192}, {175, 198}, {173, 196},
{171, 194}, {37, 79}, {48, 90}, {49, 91}, {52, 94}, {53, 95}, {170, 193}, {174,
197}, {36, 72}, {50, 92}, {51, 93}, {56, 87}, {172, 195}, {304, 351}, {160,
208}, {168, 216}, {167, 215}, {166, 214}, {165, 213}, {164, 212}, {163, 211},
{162, 210}, {161, 209}, {289, 336}, {291, 338}, {293, 340}, {295, 342}, {297,
344}, {299, 346}, {301, 348}, {303, 350}, {290, 337}, {294, 341}, {298, 345},
{302, 349}, {180, 192}, {317, 328}, {319, 330}, {38, 80}, {39, 81}, {46, 88},
{47, 89}, {176, 199}, {318, 329}, {292, 339}, {300, 347}, {304, 328}, {305,
329}, {306, 330}, {307, 331}, {308, 332}, {309, 333}, {310, 334}, {311, 335},
{177, 200}, {179, 202}, {40, 82}, {41, 83}, {44, 86}, {45, 87}, {178, 201},
{316, 327}, {289, 349}, {290, 350}, {291, 351}, {315, 326}, {42, 84}, {43, 85},
{48, 79}, {180, 203}, {296, 343}, {314, 325}, {76, 136}, {77, 137}, {78, 138},
{79, 139}, {84, 144}, {365, 424}, {373, 432}, {367, 426}, {366, 425}, {109,
164}, {335, 390}, {333, 388}, {331, 386}, {329, 384}, {125, 180}, {123, 178},
{121, 176}, {111, 166}, {110, 164}, {335, 389}, {334, 388}, {331, 385}, {330,
384}, {126, 180}, {123, 177}, {122, 176}, {111, 165}, {110, 165}, {364, 423},
{334, 389}, {330, 385}, {122, 177}, {73, 133}, {74, 134}, {75, 135}, {361, 420},
{363, 422}, {109, 163}, {333, 387}, {332, 386}, {125, 179}, {124, 178}, {124,
179}, {362, 421}, {332, 387}, {368, 416}, {383, 431}, {382, 430}, {381, 429},
{380, 428}, {379, 427}, {378, 426}, {377, 425}, {376, 424}, {375, 423}, {374,
422}, {373, 421}, {372, 420}, {371, 419}, {370, 418}, {369, 417}, {81, 128},
{95, 142}, {93, 140}, {91, 138}, {83, 130}, {85, 132}, {87, 134}, {89, 136},
{82, 129}, {94, 141}, {90, 137}, {86, 133}, {112, 166}, {337, 391}, {336, 390},
{121, 175}, {120, 174}, {113, 167}, {84, 131}, {336, 391}, {120, 175}, {112,
167}, {92, 139}, {113, 168}, {341, 396}, {339, 394}, {337, 392}, {119, 174},
{117, 172}, {115, 170}, {114, 168}, {342, 396}, {339, 393}, {338, 392}, {119,
173}, {118, 172}, {115, 169}, {114, 169}, {372, 431}, {368, 427}, {338, 393},
{118, 173}, {80, 140}, {81, 141}, {82, 142}, {83, 143}, {369, 428}, {371, 430},
{116, 170}, {341, 395}, {340, 394}, {117, 171}, {88, 135}, {370, 429}, {340,
395}, {116, 171}, {104, 128}, {108, 132}, {107, 131}, {106, 130}, {105, 129},
{377, 400}, {383, 406}, {381, 404}, {379, 402}, {378, 401}, {382, 405}, {127,
146}, {127, 145}, {96, 143}, {380, 403}, {126, 145}, {361, 409}, {367, 415},
{366, 414}, {365, 413}, {364, 412}, {363, 411}, {362, 410}, {97, 144}, {376,
399}, {375, 398}, {374, 397}, {8, 397}, {10, 399}, {16, 405}, {18, 407}, {24,
413}, {26, 415}, {32, 421}, {34, 423}, {9, 398}, {17, 406}, {25, 414}, {33,
422}, {19, 408}, {23, 412}, {35, 424}, {20, 409}, {22, 411}, {36, 425}, {21,
410}, {1, 403}, {4, 406}, {5, 407}, {8, 410}, {9, 411}, {12, 414}, {13, 415},
{31, 397}, {2, 404}, {3, 405}, {10, 412}, {11, 413}, {11, 400}, {15, 404}, {12,
401}, {14, 403}, {6, 408}, {7, 409}, {13, 402}, {2, 427}, {4, 429}, {6, 431},
{1, 426}, {5, 430}, {14, 416}, {15, 417}, {30, 432}, {32, 398}, {33, 399}, {3,
428}, {16, 418}, {17, 419}, {20, 422}, {21, 423}, {24, 426}, {25, 427}, {28,
430}, {29, 431}, {34, 400}, {35, 401}, {18, 420}, {19, 421}, {26, 428}, {27,
429}, {36, 402}, {7, 432}, {27, 416}, {31, 420}, {28, 417}, {30, 419}, {253,
320}, {255, 322}, {22, 424}, {23, 425}, {29, 418}, {254, 321}, {254, 296}, {255,
297}, {253, 295}, {220, 256}, {221, 257}, {222, 258}, {223, 259}, {252, 288},
{221, 256}, {223, 258}, {222, 257}, {224, 259}, {228, 263}, {232, 267}, {236,
271}, {240, 275}, {244, 279}, {248, 283}, {252, 287}, {224, 260}, {225, 261},
{226, 262}, {227, 263}, {232, 268}, {233, 269}, {234, 270}, {235, 271}, {240,
276}, {241, 277}, {242, 278}, {243, 279}, {248, 284}, {249, 285}, {250, 286},
{251, 287}, {225, 260}, {227, 262}, {233, 268}, {235, 270}, {241, 276}, {243,
278}, {249, 284}, {251, 286}, {226, 261}, {234, 269}, {242, 277}, {250, 285},
{228, 264}, {229, 265}, {230, 266}, {231, 267}, {244, 280}, {245, 281}, {246,
282}, {247, 283}, {229, 264}, {231, 266}, {245, 280}, {247, 282}, {230, 265},
{246, 281}, {217, 288}, {236, 272}, {237, 273}, {238, 274}, {239, 275}, {237,
272}, {239, 274}, {238, 273} }>;
(II) A more general form is to represent the graph as the orbit of {72, 78}
under the group generated by the following permutations:
a: (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, 256, 257, 258, 259,
260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275,
276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288)(289, 290, 291,
292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307,
308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323,
324)(325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339,
340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355,
356, 357, 358, 359, 360)(361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371,
372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387,
388, 389, 390, 391, 392, 393, 394, 395, 396)(397, 398, 399, 400, 401, 402, 403,
404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419,
420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432) (III) Last is Groups&Graphs. Copy everything between (not including)
the lines of asterisks into a plain text file and save it as "graph.txt". Then
launch G&G (Groups&Graphs) and select Read Text from the File menu.
**************
&Graph **************
b: (1, 37, 104, 128, 147, 195, 238, 274, 305, 329, 384, 432, 7, 43, 74, 134,
153, 201, 244, 280, 311, 335, 390, 402, 13, 49, 80, 140, 159, 207, 250, 286,
317, 341, 396, 408, 19, 55, 86, 110, 165, 213, 220, 256, 323, 347, 366, 414, 25,
61, 92, 116, 171, 183, 226, 262, 293, 353, 372, 420, 31, 67, 98, 122, 177, 189,
232, 268, 299, 359, 378, 426)(2, 62, 81, 129, 172, 208, 239, 263, 318, 330, 373,
409, 8, 68, 87, 135, 178, 214, 245, 269, 324, 336, 379, 415, 14, 38, 93, 141,
148, 184, 251, 275, 294, 342, 385, 421, 20, 44, 99, 111, 154, 190, 221, 281,
300, 348, 391, 427, 26, 50, 105, 117, 160, 196, 227, 287, 306, 354, 361, 397,
32, 56, 75, 123, 166, 202, 233, 257, 312, 360, 367, 403)(3, 51, 94, 130, 161,
185, 240, 288, 295, 331, 362, 422, 9, 57, 100, 136, 167, 191, 246, 258, 301,
337, 368, 428, 15, 63, 106, 142, 173, 197, 252, 264, 307, 343, 374, 398, 21, 69,
76, 112, 179, 203, 222, 270, 313, 349, 380, 404, 27, 39, 82, 118, 149, 209, 228,
276, 319, 355, 386, 410, 33, 45, 88, 124, 155, 215, 234, 282, 289, 325, 392,
416)(4, 40, 107, 131, 150, 198, 241, 277, 308, 332, 387, 399, 10, 46, 77, 137,
156, 204, 247, 283, 314, 338, 393, 405, 16, 52, 83, 143, 162, 210, 217, 253,
320, 344, 363, 411, 22, 58, 89, 113, 168, 216, 223, 259, 290, 350, 369, 417, 28,
64, 95, 119, 174, 186, 229, 265, 296, 356, 375, 423, 34, 70, 101, 125, 180, 192,
235, 271, 302, 326, 381, 429)(5, 65, 84, 132, 175, 211, 242, 266, 321, 333, 376,
412, 11, 71, 90, 138, 145, 181, 248, 272, 291, 339, 382, 418, 17, 41, 96, 144,
151, 187, 218, 278, 297, 345, 388, 424, 23, 47, 102, 114, 157, 193, 224, 284,
303, 351, 394, 430, 29, 53, 108, 120, 163, 199, 230, 254, 309, 357, 364, 400,
35, 59, 78, 126, 169, 205, 236, 260, 315, 327, 370, 406)(6, 54, 97, 133, 164,
188, 243, 255, 298, 334, 365, 425, 12, 60, 103, 139, 170, 194, 249, 261, 304,
340, 371, 431, 18, 66, 73, 109, 176, 200, 219, 267, 310, 346, 377, 401, 24, 72,
79, 115, 146, 206, 225, 273, 316, 352, 383, 407, 30, 42, 85, 121, 152, 212, 231,
279, 322, 358, 389, 413, 36, 48, 91, 127, 158, 182, 237, 285, 292, 328, 395,
419)
c: (2, 36)(3, 35)(4, 34)(5, 33)(6, 32)(7, 31)(8, 30)(9, 29)(10, 28)(11, 27)(12,
26)(13, 25)(14, 24)(15, 23)(16, 22)(17, 21)(18, 20)(37, 72)(38, 71)(39, 70)(40,
69)(41, 68)(42, 67)(43, 66)(44, 65)(45, 64)(46, 63)(47, 62)(48, 61)(49, 60)(50,
59)(51, 58)(52, 57)(53, 56)(54, 55)(74, 108)(75, 107)(76, 106)(77, 105)(78,
104)(79, 103)(80, 102)(81, 101)(82, 100)(83, 99)(84, 98)(85, 97)(86, 96)(87,
95)(88, 94)(89, 93)(90, 92)(109, 144)(110, 143)(111, 142)(112, 141)(113,
140)(114, 139)(115, 138)(116, 137)(117, 136)(118, 135)(119, 134)(120, 133)(121,
132)(122, 131)(123, 130)(124, 129)(125, 128)(126, 127)(146, 180)(147, 179)(148,
178)(149, 177)(150, 176)(151, 175)(152, 174)(153, 173)(154, 172)(155, 171)(156,
170)(157, 169)(158, 168)(159, 167)(160, 166)(161, 165)(162, 164)(181, 216)(182,
215)(183, 214)(184, 213)(185, 212)(186, 211)(187, 210)(188, 209)(189, 208)(190,
207)(191, 206)(192, 205)(193, 204)(194, 203)(195, 202)(196, 201)(197, 200)(198,
199)(218, 252)(219, 251)(220, 250)(221, 249)(222, 248)(223, 247)(224, 246)(225,
245)(226, 244)(227, 243)(228, 242)(229, 241)(230, 240)(231, 239)(232, 238)(233,
237)(234, 236)(253, 288)(254, 287)(255, 286)(256, 285)(257, 284)(258, 283)(259,
282)(260, 281)(261, 280)(262, 279)(263, 278)(264, 277)(265, 276)(266, 275)(267,
274)(268, 273)(269, 272)(270, 271)(290, 324)(291, 323)(292, 322)(293, 321)(294,
320)(295, 319)(296, 318)(297, 317)(298, 316)(299, 315)(300, 314)(301, 313)(302,
312)(303, 311)(304, 310)(305, 309)(306, 308)(325, 360)(326, 359)(327, 358)(328,
357)(329, 356)(330, 355)(331, 354)(332, 353)(333, 352)(334, 351)(335, 350)(336,
349)(337, 348)(338, 347)(339, 346)(340, 345)(341, 344)(342, 343)(362, 396)(363,
395)(364, 394)(365, 393)(366, 392)(367, 391)(368, 390)(369, 389)(370, 388)(371,
387)(372, 386)(373, 385)(374, 384)(375, 383)(376, 382)(377, 381)(378, 380)(397,
432)(398, 431)(399, 430)(400, 429)(401, 428)(402, 427)(403, 426)(404, 425)(405,
424)(406, 423)(407, 422)(408, 421)(409, 420)(410, 419)(411, 418)(412, 417)(413,
416)(414, 415)
C4[ 432, 21 ]
432
-1 37 72 403 426
-2 37 38 404 427
-3 38 39 405 428
-4 429 39 40 406
-5 407 430 40 41
-6 408 431 41 42
-7 409 432 42 43
-8 44 397 410 43
-9 44 45 398 411
-10 45 46 399 412
-11 46 47 400 413
-12 47 48 401 414
-13 48 49 402 415
-14 49 50 403 416
-15 50 51 404 417
-16 418 51 52 405
-17 419 52 53 406
-18 407 420 53 54
-19 55 408 421 54
-20 55 56 409 422
-21 56 57 410 423
-22 57 58 411 424
-23 58 59 412 425
-24 59 60 413 426
-25 60 61 414 427
-26 61 62 415 428
-27 429 62 63 416
-28 430 63 64 417
-29 418 431 64 65
-30 66 419 432 65
-31 66 67 397 420
-32 67 68 398 421
-33 68 69 399 422
-34 69 70 400 423
-35 70 71 401 424
-36 71 72 402 425
-37 1 2 79 104
-38 2 3 80 105
-39 3 4 81 106
-40 4 5 82 107
-41 5 6 83 108
-42 6 7 73 84
-43 7 8 74 85
-44 8 9 75 86
-45 9 10 76 87
-46 11 77 88 10
-47 11 12 78 89
-48 12 13 79 90
-49 13 14 80 91
-50 14 15 81 92
-51 15 16 82 93
-52 16 17 83 94
-53 17 18 84 95
-54 18 19 85 96
-55 19 20 86 97
-56 20 21 87 98
-57 22 88 99 21
-58 22 23 89 100
-59 23 24 90 101
-60 24 25 91 102
-61 25 26 92 103
-62 26 27 93 104
-63 27 28 94 105
-64 28 29 95 106
-65 29 30 96 107
-66 30 31 97 108
-67 73 31 32 98
-68 33 99 74 32
-69 33 34 100 75
-70 34 35 101 76
-71 77 35 36 102
-72 1 78 36 103
-73 67 133 42 120
-74 121 68 134 43
-75 44 122 69 135
-76 45 123 70 136
-77 46 124 71 137
-78 47 125 72 138
-79 37 48 126 139
-80 38 49 127 140
-81 39 50 128 141
-82 40 51 129 142
-83 143 41 52 130
-84 144 42 53 131
-85 132 43 54 109
-86 44 55 110 133
-87 45 56 111 134
-88 46 57 112 135
-89 47 58 113 136
-90 48 59 114 137
-91 49 60 115 138
-92 50 61 116 139
-93 51 62 117 140
-94 52 63 118 141
-95 53 64 119 142
-96 143 54 65 120
-97 55 66 121 144
-98 56 67 122 109
-99 110 57 68 123
-100 111 58 69 124
-101 112 59 70 125
-102 113 60 71 126
-103 114 61 72 127
-104 37 115 62 128
-105 38 116 63 129
-106 39 117 64 130
-107 40 118 65 131
-108 66 132 41 119
-109 85 163 98 164
-110 99 165 86 164
-111 165 100 166 87
-112 88 166 101 167
-113 89 167 102 168
-114 90 168 103 169
-115 91 169 104 170
-116 92 170 105 171
-117 93 171 106 172
-118 94 172 107 173
-119 95 173 108 174
-120 73 96 174 175
-121 176 74 97 175
-122 176 177 75 98
-123 99 177 178 76
-124 77 100 178 179
-125 78 101 179 180
-126 79 145 102 180
-127 145 80 146 103
-128 146 81 147 104
-129 147 82 148 105
-130 148 83 149 106
-131 149 84 150 107
-132 150 85 151 108
-133 73 151 86 152
-134 74 152 87 153
-135 88 154 75 153
-136 154 89 155 76
-137 77 155 90 156
-138 78 156 91 157
-139 79 157 92 158
-140 80 158 93 159
-141 81 159 94 160
-142 82 160 95 161
-143 83 161 96 162
-144 84 162 97 163
-145 126 127 193 204
-146 127 128 194 205
-147 128 129 195 206
-148 129 130 196 207
-149 130 131 197 208
-150 132 198 209 131
-151 132 133 199 210
-152 133 134 200 211
-153 134 135 201 212
-154 135 136 202 213
-155 136 137 203 214
-156 137 138 204 215
-157 138 139 205 216
-158 181 139 140 206
-159 182 140 141 207
-160 183 141 142 208
-161 143 209 184 142
-162 143 144 210 185
-163 144 211 109 186
-164 110 187 212 109
-165 110 111 188 213
-166 111 112 189 214
-167 112 113 190 215
-168 113 114 191 216
-169 114 115 181 192
-170 115 116 182 193
-171 116 117 183 194
-172 117 118 184 195
-173 118 119 185 196
-174 119 120 186 197
-175 121 187 198 120
-176 121 122 188 199
-177 122 123 189 200
-178 123 124 190 201
-179 124 125 191 202
-180 125 126 192 203
-181 158 169 224 247
-182 159 170 225 248
-183 160 171 226 249
-184 161 172 227 250
-185 162 173 228 251
-186 163 174 229 252
-187 217 164 175 230
-188 165 176 231 218
-189 166 177 232 219
-190 220 167 178 233
-191 221 168 179 234
-192 222 169 180 235
-193 145 223 170 236
-194 146 224 171 237
-195 147 225 172 238
-196 148 226 173 239
-197 149 227 174 240
-198 150 228 175 241
-199 176 242 151 229
-200 177 243 152 230
-201 231 178 244 153
-202 154 232 179 245
-203 155 233 180 246
-204 145 156 234 247
-205 146 157 235 248
-206 147 158 236 249
-207 148 159 237 250
-208 149 160 238 251
-209 150 161 239 252
-210 151 162 217 240
-211 152 163 218 241
-212 242 153 164 219
-213 154 165 220 243
-214 155 166 221 244
-215 156 167 222 245
-216 157 168 223 246
-217 187 253 210 288
-218 253 188 254 211
-219 254 189 255 212
-220 255 190 256 213
-221 256 191 257 214
-222 257 192 258 215
-223 258 193 259 216
-224 181 259 194 260
-225 182 260 195 261
-226 183 261 196 262
-227 184 262 197 263
-228 198 264 185 263
-229 264 199 265 186
-230 187 265 200 266
-231 188 266 201 267
-232 189 267 202 268
-233 190 268 203 269
-234 191 269 204 270
-235 192 270 205 271
-236 193 271 206 272
-237 194 272 207 273
-238 195 273 208 274
-239 209 275 196 274
-240 275 210 276 197
-241 198 276 211 277
-242 199 277 212 278
-243 200 278 213 279
-244 201 279 214 280
-245 202 280 215 281
-246 203 281 216 282
-247 181 204 282 283
-248 182 205 283 284
-249 183 206 284 285
-250 286 184 207 285
-251 286 287 185 208
-252 209 287 288 186
-253 320 217 218 295
-254 321 218 219 296
-255 220 297 322 219
-256 220 221 298 323
-257 221 222 299 324
-258 222 223 289 300
-259 223 224 290 301
-260 224 225 291 302
-261 225 226 292 303
-262 226 227 293 304
-263 227 228 294 305
-264 228 229 295 306
-265 229 230 296 307
-266 231 297 308 230
-267 231 232 298 309
-268 232 233 299 310
-269 233 234 300 311
-270 234 235 301 312
-271 235 236 302 313
-272 236 237 303 314
-273 237 238 304 315
-274 238 239 305 316
-275 239 240 306 317
-276 240 241 307 318
-277 242 308 319 241
-278 242 243 309 320
-279 243 244 310 321
-280 244 245 311 322
-281 245 246 312 323
-282 246 247 313 324
-283 289 247 248 314
-284 290 248 249 315
-285 291 249 250 316
-286 292 250 251 317
-287 293 251 252 318
-288 319 217 294 252
-289 258 336 283 349
-290 259 337 284 350
-291 260 338 285 351
-292 286 352 261 339
-293 287 353 262 340
-294 341 288 354 263
-295 253 264 342 355
-296 254 265 343 356
-297 255 266 344 357
-298 256 267 345 358
-299 257 268 346 359
-300 258 269 347 360
-301 259 270 325 348
-302 260 271 326 349
-303 261 272 327 350
-304 262 273 328 351
-305 352 263 274 329
-306 264 275 330 353
-307 265 276 331 354
-308 266 277 332 355
-309 267 278 333 356
-310 268 279 334 357
-311 269 280 335 358
-312 270 281 336 359
-313 271 282 337 360
-314 325 272 283 338
-315 326 273 284 339
-316 327 274 285 340
-317 275 286 341 328
-318 276 287 342 329
-319 330 277 288 343
-320 253 331 278 344
-321 254 332 279 345
-322 255 333 280 346
-323 256 334 281 347
-324 257 335 282 348
-325 301 379 314 380
-326 302 380 315 381
-327 303 381 316 382
-328 304 382 317 383
-329 305 383 318 384
-330 319 385 306 384
-331 385 320 386 307
-332 308 386 321 387
-333 309 387 322 388
-334 310 388 323 389
-335 311 389 324 390
-336 289 312 390 391
-337 290 313 391 392
-338 291 314 392 393
-339 292 315 393 394
-340 293 316 394 395
-341 396 294 317 395
-342 396 295 361 318
-343 319 361 296 362
-344 297 363 320 362
-345 363 298 364 321
-346 364 299 365 322
-347 365 300 366 323
-348 366 301 367 324
-349 289 367 302 368
-350 290 368 303 369
-351 291 369 304 370
-352 292 370 305 371
-353 293 371 306 372
-354 294 372 307 373
-355 308 374 295 373
-356 374 309 375 296
-357 297 375 310 376
-358 298 376 311 377
-359 299 377 312 378
-360 300 378 313 379
-361 342 343 409 420
-362 343 344 410 421
-363 344 345 411 422
-364 345 346 412 423
-365 346 347 413 424
-366 347 348 414 425
-367 348 349 415 426
-368 349 350 416 427
-369 350 351 417 428
-370 352 418 429 351
-371 352 353 419 430
-372 353 354 420 431
-373 354 355 421 432
-374 397 355 356 422
-375 398 356 357 423
-376 399 357 358 424
-377 400 358 359 425
-378 401 359 360 426
-379 325 402 360 427
-380 325 326 403 428
-381 429 326 327 404
-382 430 327 328 405
-383 431 328 329 406
-384 330 407 432 329
-385 330 331 397 408
-386 331 332 398 409
-387 332 333 399 410
-388 333 334 400 411
-389 334 335 401 412
-390 335 336 402 413
-391 336 337 403 414
-392 337 338 404 415
-393 338 339 405 416
-394 339 340 406 417
-395 341 407 418 340
-396 341 342 408 419
-397 374 385 8 31
-398 375 386 9 32
-399 33 376 387 10
-400 11 34 377 388
-401 12 35 378 389
-402 13 36 379 390
-403 1 14 380 391
-404 2 15 381 392
-405 3 16 382 393
-406 4 17 383 394
-407 5 18 384 395
-408 385 396 6 19
-409 386 7 20 361
-410 387 8 21 362
-411 22 363 388 9
-412 23 364 389 10
-413 11 24 365 390
-414 12 25 366 391
-415 13 26 367 392
-416 14 27 368 393
-417 15 28 369 394
-418 16 29 370 395
-419 396 17 30 371
-420 18 31 361 372
-421 19 32 362 373
-422 33 363 374 20
-423 34 364 375 21
-424 22 35 365 376
-425 23 36 366 377
-426 1 24 367 378
-427 2 25 368 379
-428 3 26 369 380
-429 4 27 370 381
-430 5 28 371 382
-431 6 29 372 383
-432 7 30 373 384
0