[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 500, 18 ] =
MSZ(20,25,9,7).
(I) Following is a form readable by MAGMA:
g:=Graph<500|{ {2, 3}, {498, 499}, {496, 497}, {494, 495}, {492, 493}, {490,
491}, {488, 489}, {486, 487}, {484, 485}, {482, 483}, {478, 479}, {476, 477},
{474, 475}, {472, 473}, {470, 471}, {468, 469}, {466, 467}, {464, 465}, {462,
463}, {458, 459}, {456, 457}, {454, 455}, {452, 453}, {450, 451}, {448, 449},
{446, 447}, {444, 445}, {442, 443}, {438, 439}, {436, 437}, {434, 435}, {432,
433}, {430, 431}, {428, 429}, {426, 427}, {424, 425}, {422, 423}, {418, 419},
{416, 417}, {414, 415}, {412, 413}, {410, 411}, {408, 409}, {406, 407}, {404,
405}, {402, 403}, {398, 399}, {396, 397}, {394, 395}, {392, 393}, {390, 391},
{388, 389}, {386, 387}, {384, 385}, {382, 383}, {378, 379}, {376, 377}, {374,
375}, {372, 373}, {370, 371}, {368, 369}, {366, 367}, {364, 365}, {362, 363},
{358, 359}, {356, 357}, {354, 355}, {352, 353}, {192, 193}, {190, 191}, {188,
189}, {186, 187}, {184, 185}, {182, 183}, {178, 179}, {176, 177}, {174, 175},
{172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {158,
159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147},
{144, 145}, {142, 143}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130,
131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {118, 119}, {116, 117},
{114, 115}, {112, 113}, {110, 111}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13},
{14, 15}, {16, 17}, {18, 19}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31},
{32, 33}, {34, 35}, {36, 37}, {38, 39}, {42, 43}, {44, 45}, {46, 47}, {48, 49},
{50, 51}, {52, 53}, {54, 55}, {56, 57}, {58, 59}, {62, 63}, {64, 65}, {66, 67},
{68, 69}, {70, 71}, {72, 73}, {74, 75}, {76, 77}, {78, 79}, {82, 83}, {84, 85},
{86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95}, {96, 97}, {98, 99}, {102,
103}, {104, 105}, {106, 107}, {108, 109}, {194, 195}, {196, 197}, {198, 199},
{202, 203}, {204, 205}, {206, 207}, {208, 209}, {210, 211}, {212, 213}, {214,
215}, {216, 217}, {218, 219}, {222, 223}, {224, 225}, {226, 227}, {228, 229},
{230, 231}, {232, 233}, {234, 235}, {236, 237}, {238, 239}, {242, 243}, {244,
245}, {246, 247}, {248, 249}, {250, 251}, {252, 253}, {254, 255}, {256, 257},
{258, 259}, {262, 263}, {264, 265}, {266, 267}, {268, 269}, {270, 271}, {272,
273}, {274, 275}, {276, 277}, {278, 279}, {282, 283}, {284, 285}, {286, 287},
{288, 289}, {290, 291}, {292, 293}, {294, 295}, {296, 297}, {298, 299}, {302,
303}, {304, 305}, {306, 307}, {308, 309}, {310, 311}, {312, 313}, {314, 315},
{316, 317}, {318, 319}, {322, 323}, {324, 325}, {326, 327}, {328, 329}, {330,
331}, {332, 333}, {334, 335}, {336, 337}, {338, 339}, {342, 343}, {344, 345},
{346, 347}, {348, 349}, {350, 351}, {1, 2}, {497, 498}, {493, 494}, {489, 490},
{485, 486}, {481, 482}, {477, 478}, {473, 474}, {469, 470}, {465, 466}, {461,
462}, {457, 458}, {453, 454}, {449, 450}, {445, 446}, {441, 442}, {437, 438},
{433, 434}, {429, 430}, {425, 426}, {421, 422}, {417, 418}, {413, 414}, {409,
410}, {405, 406}, {401, 402}, {397, 398}, {393, 394}, {389, 390}, {385, 386},
{381, 382}, {377, 378}, {373, 374}, {369, 370}, {365, 366}, {361, 362}, {357,
358}, {353, 354}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178},
{173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149,
150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126},
{121, 122}, {117, 118}, {113, 114}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21,
22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53,
54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85,
86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {197,
198}, {201, 202}, {205, 206}, {209, 210}, {213, 214}, {217, 218}, {221, 222},
{225, 226}, {229, 230}, {233, 234}, {237, 238}, {241, 242}, {245, 246}, {249,
250}, {253, 254}, {257, 258}, {261, 262}, {265, 266}, {269, 270}, {273, 274},
{277, 278}, {281, 282}, {285, 286}, {289, 290}, {293, 294}, {297, 298}, {301,
302}, {305, 306}, {309, 310}, {313, 314}, {317, 318}, {321, 322}, {325, 326},
{329, 330}, {333, 334}, {337, 338}, {341, 342}, {345, 346}, {349, 350}, {3, 4},
{499, 500}, {491, 492}, {483, 484}, {475, 476}, {467, 468}, {459, 460}, {451,
452}, {443, 444}, {435, 436}, {427, 428}, {419, 420}, {411, 412}, {403, 404},
{395, 396}, {387, 388}, {379, 380}, {371, 372}, {363, 364}, {355, 356}, {187,
188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139, 140},
{131, 132}, {123, 124}, {115, 116}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43,
44}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100},
{107, 108}, {195, 196}, {203, 204}, {211, 212}, {219, 220}, {227, 228}, {235,
236}, {243, 244}, {251, 252}, {259, 260}, {267, 268}, {275, 276}, {283, 284},
{291, 292}, {299, 300}, {307, 308}, {315, 316}, {323, 324}, {331, 332}, {339,
340}, {347, 348}, {16, 25}, {480, 489}, {452, 461}, {436, 445}, {432, 441},
{420, 429}, {416, 425}, {400, 409}, {372, 381}, {356, 365}, {352, 361}, {192,
201}, {180, 189}, {176, 185}, {160, 169}, {132, 141}, {116, 125}, {112, 121},
{20, 29}, {32, 41}, {36, 45}, {52, 61}, {80, 89}, {96, 105}, {100, 109}, {196,
205}, {212, 221}, {240, 249}, {256, 265}, {260, 269}, {272, 281}, {276, 285},
{292, 301}, {320, 329}, {336, 345}, {340, 349}, {19, 30}, {451, 462}, {435,
446}, {419, 430}, {371, 382}, {355, 366}, {179, 190}, {131, 142}, {115, 126},
{35, 46}, {51, 62}, {99, 110}, {195, 206}, {211, 222}, {259, 270}, {275, 286},
{291, 302}, {339, 350}, {7, 8}, {487, 488}, {471, 472}, {455, 456}, {439, 440},
{423, 424}, {407, 408}, {391, 392}, {375, 376}, {359, 360}, {183, 184}, {167,
168}, {151, 152}, {135, 136}, {119, 120}, {23, 24}, {39, 40}, {55, 56}, {71,
72}, {87, 88}, {103, 104}, {199, 200}, {215, 216}, {231, 232}, {247, 248}, {263,
264}, {279, 280}, {295, 296}, {311, 312}, {327, 328}, {343, 344}, {1, 20}, {481,
500}, {455, 466}, {431, 442}, {399, 410}, {391, 402}, {361, 380}, {359, 370},
{175, 186}, {161, 180}, {135, 146}, {111, 122}, {15, 26}, {39, 50}, {41, 60},
{71, 82}, {79, 90}, {199, 210}, {201, 220}, {231, 242}, {239, 250}, {271, 282},
{295, 306}, {321, 340}, {335, 346}, {12, 21}, {460, 469}, {456, 465}, {396,
405}, {392, 401}, {360, 369}, {172, 181}, {140, 149}, {136, 145}, {40, 49}, {72,
81}, {76, 85}, {200, 209}, {232, 241}, {236, 245}, {296, 305}, {300, 309}, {332,
341}, {11, 22}, {459, 470}, {448, 477}, {421, 440}, {395, 406}, {384, 413},
{171, 182}, {139, 150}, {128, 157}, {64, 93}, {75, 86}, {101, 120}, {224, 253},
{235, 246}, {261, 280}, {288, 317}, {299, 310}, {331, 342}, {15, 16}, {495,
496}, {463, 464}, {431, 432}, {399, 400}, {367, 368}, {175, 176}, {143, 144},
{111, 112}, {47, 48}, {79, 80}, {207, 208}, {239, 240}, {271, 272}, {303, 304},
{335, 336}, {3, 34}, {467, 498}, {463, 494}, {407, 438}, {403, 434}, {387, 418},
{147, 178}, {143, 174}, {7, 38}, {23, 54}, {27, 58}, {67, 98}, {83, 114}, {87,
118}, {203, 234}, {207, 238}, {223, 254}, {263, 294}, {267, 298}, {283, 314},
{287, 318}, {323, 354}, {327, 358}, {343, 374}, {347, 378}, {4, 33}, {468, 497},
{404, 433}, {388, 417}, {148, 177}, {28, 57}, {68, 97}, {84, 113}, {204, 233},
{268, 297}, {284, 313}, {324, 353}, {348, 377}, {8, 37}, {461, 480}, {408, 437},
{141, 160}, {24, 53}, {88, 117}, {221, 240}, {264, 293}, {328, 357}, {344, 373},
{31, 42}, {479, 490}, {471, 482}, {415, 426}, {401, 420}, {159, 170}, {151,
162}, {81, 100}, {95, 106}, {215, 226}, {279, 290}, {281, 300}, {351, 362}, {92,
101}, {476, 485}, {472, 481}, {412, 421}, {156, 165}, {152, 161}, {216, 225},
{220, 229}, {280, 289}, {21, 40}, {475, 486}, {464, 493}, {411, 422}, {155,
166}, {144, 173}, {91, 102}, {208, 237}, {219, 230}, {341, 360}, {31, 32}, {479,
480}, {415, 416}, {159, 160}, {95, 96}, {223, 224}, {287, 288}, {351, 352}, {43,
74}, {447, 478}, {443, 474}, {427, 458}, {423, 454}, {187, 218}, {183, 214},
{167, 198}, {163, 194}, {47, 78}, {63, 94}, {303, 334}, {307, 338}, {44, 73},
{444, 473}, {428, 457}, {188, 217}, {164, 193}, {308, 337}, {61, 80}, {424,
453}, {184, 213}, {168, 197}, {301, 320}, {55, 66}, {441, 460}, {439, 450},
{191, 202}, {311, 322}, {319, 330}, {56, 65}, {440, 449}, {60, 69}, {312, 321},
{316, 325}, {48, 77}, {181, 200}, {59, 70}, {304, 333}, {315, 326}, {63, 64},
{447, 448}, {191, 192}, {319, 320}, {12, 143}, {360, 491}, {357, 486}, {356,
487}, {353, 482}, {352, 483}, {120, 251}, {117, 246}, {116, 247}, {113, 242},
{112, 243}, {13, 142}, {16, 147}, {17, 146}, {20, 151}, {32, 163}, {33, 162},
{36, 167}, {37, 166}, {40, 171}, {52, 183}, {53, 182}, {56, 187}, {57, 186},
{60, 191}, {72, 203}, {73, 202}, {76, 207}, {77, 206}, {80, 211}, {92, 223},
{93, 222}, {96, 227}, {97, 226}, {100, 231}, {256, 387}, {257, 386}, {260, 391},
{272, 403}, {273, 402}, {276, 407}, {277, 406}, {280, 411}, {292, 423}, {293,
422}, {296, 427}, {297, 426}, {300, 431}, {312, 443}, {313, 442}, {316, 447},
{317, 446}, {320, 451}, {332, 463}, {333, 462}, {336, 467}, {337, 466}, {340,
471}, {1, 150}, {8, 159}, {9, 158}, {41, 190}, {64, 215}, {65, 214}, {104, 255},
{105, 254}, {264, 415}, {265, 414}, {288, 439}, {289, 438}, {321, 470}, {328,
479}, {329, 478}, {4, 155}, {5, 154}, {68, 219}, {69, 218}, {101, 250}, {261,
410}, {324, 475}, {325, 474}, {28, 179}, {29, 178}, {268, 419}, {269, 418},
{284, 435}, {285, 434}, {348, 499}, {349, 498}, {24, 175}, {25, 174}, {81, 230},
{88, 239}, {89, 238}, {281, 430}, {344, 495}, {345, 494}, {21, 170}, {84, 235},
{85, 234}, {341, 490}, {103, 134}, {383, 414}, {367, 398}, {363, 394}, {127,
158}, {123, 154}, {107, 138}, {108, 137}, {364, 393}, {124, 153}, {104, 133},
{381, 400}, {44, 195}, {45, 194}, {61, 210}, {301, 450}, {119, 130}, {375, 386},
{121, 140}, {48, 199}, {49, 198}, {304, 455}, {305, 454}, {120, 129}, {380,
389}, {376, 385}, {368, 397}, {379, 390}, {127, 128}, {383, 384}, {308, 459},
{309, 458}, {10, 361}, {139, 488}, {138, 489}, {135, 484}, {134, 485}, {130,
481}, {14, 365}, {15, 364}, {18, 369}, {19, 368}, {30, 381}, {108, 259}, {125,
274}, {124, 275}, {109, 258}, {2, 373}, {131, 500}, {121, 270}, {3, 372}, {11,
380}, {241, 390}, {248, 399}, {249, 398}, {6, 377}, {7, 376}, {244, 395}, {245,
394}, {132, 263}, {192, 323}, {180, 311}, {177, 306}, {176, 307}, {173, 302},
{172, 303}, {160, 291}, {157, 286}, {156, 287}, {153, 282}, {152, 283}, {140,
271}, {137, 266}, {136, 267}, {133, 262}, {193, 322}, {196, 327}, {197, 326},
{200, 331}, {212, 343}, {213, 342}, {216, 347}, {217, 346}, {220, 351}, {232,
363}, {233, 362}, {236, 367}, {237, 366}, {240, 371}, {252, 383}, {253, 382},
{31, 400}, {127, 496}, {126, 497}, {111, 480}, {46, 417}, {47, 416}, {62, 433},
{63, 432}, {26, 397}, {169, 318}, {168, 319}, {161, 310}, {129, 278}, {128,
279}, {123, 492}, {122, 493}, {27, 396}, {51, 420}, {82, 453}, {83, 452}, {91,
460}, {201, 350}, {224, 375}, {225, 374}, {22, 393}, {165, 314}, {164, 315},
{23, 392}, {86, 457}, {87, 456}, {228, 379}, {229, 378}, {34, 385}, {119, 468},
{118, 469}, {115, 464}, {114, 465}, {110, 461}, {35, 384}, {38, 389}, {39, 388},
{50, 401}, {54, 405}, {55, 404}, {58, 409}, {59, 408}, {98, 449}, {99, 448},
{141, 290}, {204, 355}, {205, 354}, {221, 370}, {42, 413}, {145, 294}, {144,
295}, {43, 412}, {106, 477}, {107, 476}, {208, 359}, {209, 358}, {102, 473},
{149, 298}, {148, 299}, {103, 472}, {227, 258}, {243, 274}, {247, 278}, {70,
421}, {74, 425}, {75, 424}, {78, 429}, {79, 428}, {90, 441}, {94, 445}, {95,
444}, {228, 257}, {244, 273}, {2, 491}, {6, 495}, {13, 484}, {1, 492}, {14,
483}, {248, 277}, {188, 339}, {189, 338}, {5, 496}, {18, 487}, {241, 260}, {255,
266}, {66, 437}, {185, 334}, {184, 335}, {67, 436}, {10, 499}, {17, 488}, {252,
261}, {9, 500}, {251, 262}, {71, 440}, {181, 330}, {255, 256} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 150)(3, 139)(4, 488)(5, 17)(6, 146)(7, 135)(8, 484)(9, 13)(10, 142)(11,
131)(12, 500)(14, 158)(15, 127)(16, 496)(18, 154)(19, 123)(20, 492)(21, 481)(22,
130)(23, 119)(24, 468)(25, 497)(26, 126)(27, 115)(28, 464)(29, 493)(30, 122)(31,
111)(32, 480)(33, 489)(34, 138)(35, 107)(36, 476)(37, 485)(38, 134)(39, 103)(40,
472)(41, 461)(42, 110)(43, 99)(44, 448)(45, 477)(46, 106)(47, 95)(48, 444)(49,
473)(50, 102)(51, 91)(52, 460)(53, 469)(54, 118)(55, 87)(56, 456)(57, 465)(58,
114)(59, 83)(60, 452)(61, 441)(62, 90)(63, 79)(64, 428)(65, 457)(66, 86)(67,
75)(68, 424)(69, 453)(70, 82)(72, 440)(73, 449)(74, 98)(76, 436)(77, 445)(78,
94)(80, 432)(81, 421)(84, 408)(85, 437)(88, 404)(89, 433)(92, 420)(93, 429)(96,
416)(97, 425)(100, 412)(101, 401)(104, 388)(105, 417)(108, 384)(109, 413)(112,
400)(113, 409)(116, 396)(117, 405)(120, 392)(121, 381)(124, 368)(125, 397)(128,
364)(129, 393)(132, 380)(133, 389)(136, 376)(137, 385)(140, 372)(141, 361)(143,
499)(144, 348)(145, 377)(147, 495)(148, 344)(149, 373)(151, 491)(152, 360)(153,
369)(155, 487)(156, 356)(157, 365)(159, 483)(160, 352)(161, 341)(162, 490)(163,
479)(164, 328)(165, 357)(166, 486)(167, 475)(168, 324)(169, 353)(170, 482)(171,
471)(172, 340)(173, 349)(174, 498)(175, 467)(176, 336)(177, 345)(178, 494)(179,
463)(180, 332)(181, 321)(182, 470)(183, 459)(184, 308)(185, 337)(186, 466)(187,
455)(188, 304)(189, 333)(190, 462)(191, 451)(192, 320)(193, 329)(194, 478)(195,
447)(196, 316)(197, 325)(198, 474)(199, 443)(200, 312)(201, 301)(202, 450)(203,
439)(204, 288)(205, 317)(206, 446)(207, 435)(208, 284)(209, 313)(210, 442)(211,
431)(212, 300)(213, 309)(214, 458)(215, 427)(216, 296)(217, 305)(218, 454)(219,
423)(220, 292)(221, 281)(222, 430)(223, 419)(224, 268)(225, 297)(226, 426)(227,
415)(228, 264)(229, 293)(230, 422)(231, 411)(232, 280)(233, 289)(234, 438)(235,
407)(236, 276)(237, 285)(238, 434)(239, 403)(240, 272)(241, 261)(242, 410)(243,
399)(244, 248)(245, 277)(246, 406)(247, 395)(249, 273)(250, 402)(251, 391)(252,
260)(253, 269)(254, 418)(255, 387)(257, 265)(258, 414)(259, 383)(262, 390)(263,
379)(266, 386)(267, 375)(270, 382)(271, 371)(274, 398)(275, 367)(278, 394)(279,
363)(282, 370)(283, 359)(286, 366)(287, 355)(290, 362)(291, 351)(294, 378)(295,
347)(298, 374)(299, 343)(302, 350)(303, 339)(306, 346)(307, 335)(310, 342)(311,
331)(314, 358)(315, 327)(318, 354)(319, 323)(322, 330)(334, 338) (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, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20)(21,
142, 483, 364, 25, 146, 487, 368, 29, 150, 491, 372, 33, 154, 495, 376, 37, 158,
499, 380)(22, 143, 484, 365, 26, 147, 488, 369, 30, 151, 492, 373, 34, 155, 496,
377, 38, 159, 500, 361)(23, 144, 485, 366, 27, 148, 489, 370, 31, 152, 493, 374,
35, 156, 497, 378, 39, 160, 481, 362)(24, 145, 486, 367, 28, 149, 490, 371, 32,
153, 494, 375, 36, 157, 498, 379, 40, 141, 482, 363)(41, 282, 463, 224, 45, 286,
467, 228, 49, 290, 471, 232, 53, 294, 475, 236, 57, 298, 479, 240)(42, 283, 464,
225, 46, 287, 468, 229, 50, 291, 472, 233, 54, 295, 476, 237, 58, 299, 480,
221)(43, 284, 465, 226, 47, 288, 469, 230, 51, 292, 473, 234, 55, 296, 477, 238,
59, 300, 461, 222)(44, 285, 466, 227, 48, 289, 470, 231, 52, 293, 474, 235, 56,
297, 478, 239, 60, 281, 462, 223)(61, 422, 443, 84, 65, 426, 447, 88, 69, 430,
451, 92, 73, 434, 455, 96, 77, 438, 459, 100)(62, 423, 444, 85, 66, 427, 448,
89, 70, 431, 452, 93, 74, 435, 456, 97, 78, 439, 460, 81)(63, 424, 445, 86, 67,
428, 449, 90, 71, 432, 453, 94, 75, 436, 457, 98, 79, 440, 441, 82)(64, 425,
446, 87, 68, 429, 450, 91, 72, 433, 454, 95, 76, 437, 458, 99, 80, 421, 442,
83)(101, 202, 403, 304, 105, 206, 407, 308, 109, 210, 411, 312, 113, 214, 415,
316, 117, 218, 419, 320)(102, 203, 404, 305, 106, 207, 408, 309, 110, 211, 412,
313, 114, 215, 416, 317, 118, 219, 420, 301)(103, 204, 405, 306, 107, 208, 409,
310, 111, 212, 413, 314, 115, 216, 417, 318, 119, 220, 401, 302)(104, 205, 406,
307, 108, 209, 410, 311, 112, 213, 414, 315, 116, 217, 418, 319, 120, 201, 402,
303)(121, 342, 383, 164, 125, 346, 387, 168, 129, 350, 391, 172, 133, 354, 395,
176, 137, 358, 399, 180)(122, 343, 384, 165, 126, 347, 388, 169, 130, 351, 392,
173, 134, 355, 396, 177, 138, 359, 400, 161)(123, 344, 385, 166, 127, 348, 389,
170, 131, 352, 393, 174, 135, 356, 397, 178, 139, 360, 381, 162)(124, 345, 386,
167, 128, 349, 390, 171, 132, 353, 394, 175, 136, 357, 398, 179, 140, 341, 382,
163)(181, 262, 323, 244, 185, 266, 327, 248, 189, 270, 331, 252, 193, 274, 335,
256, 197, 278, 339, 260)(182, 263, 324, 245, 186, 267, 328, 249, 190, 271, 332,
253, 194, 275, 336, 257, 198, 279, 340, 241)(183, 264, 325, 246, 187, 268, 329,
250, 191, 272, 333, 254, 195, 276, 337, 258, 199, 280, 321, 242)(184, 265, 326,
247, 188, 269, 330, 251, 192, 273, 334, 255, 196, 277, 338, 259, 200, 261, 322,
243)
C4[ 500, 18 ]
500
-1 2 150 492 20
-2 1 3 491 373
-3 34 2 4 372
-4 33 155 3 5
-5 154 496 4 6
-6 495 377 5 7
-7 376 38 6 8
-8 37 159 7 9
-9 158 500 8 10
-10 11 499 9 361
-11 22 12 380 10
-12 11 143 13 21
-13 484 12 14 142
-14 13 365 15 483
-15 364 14 26 16
-16 25 15 147 17
-17 146 488 16 18
-18 487 17 369 19
-19 368 18 30 20
-20 1 29 19 151
-21 22 12 170 40
-22 11 23 393 21
-23 22 24 392 54
-24 23 25 53 175
-25 24 26 16 174
-26 397 25 15 27
-27 396 58 26 28
-28 57 179 27 29
-29 178 28 30 20
-30 29 381 19 31
-31 400 30 42 32
-32 33 41 31 163
-33 34 4 162 32
-34 33 385 35 3
-35 34 46 36 384
-36 45 35 167 37
-37 166 36 38 8
-38 37 389 39 7
-39 388 38 50 40
-40 49 39 171 21
-41 190 60 42 32
-42 413 41 31 43
-43 44 412 74 42
-44 45 73 195 43
-45 44 46 36 194
-46 45 35 47 417
-47 78 46 48 416
-48 77 199 47 49
-49 198 48 50 40
-50 49 401 39 51
-51 420 50 62 52
-52 61 51 183 53
-53 24 182 52 54
-54 55 23 53 405
-55 66 56 404 54
-56 55 187 57 65
-57 56 58 28 186
-58 57 409 59 27
-59 408 58 70 60
-60 69 59 191 41
-61 210 80 62 52
-62 433 61 51 63
-63 432 94 62 64
-64 93 215 63 65
-65 66 56 214 64
-66 55 67 437 65
-67 66 68 436 98
-68 67 69 97 219
-69 68 70 60 218
-70 69 421 59 71
-71 440 70 82 72
-72 81 71 203 73
-73 44 202 72 74
-74 73 425 75 43
-75 424 74 86 76
-76 77 85 75 207
-77 78 48 206 76
-78 77 429 79 47
-79 78 90 80 428
-80 89 79 211 61
-81 100 82 72 230
-82 453 81 71 83
-83 452 114 82 84
-84 113 235 83 85
-85 234 84 86 76
-86 457 85 75 87
-87 88 456 118 86
-88 89 117 239 87
-89 88 90 80 238
-90 89 441 79 91
-91 90 102 92 460
-92 101 91 223 93
-93 222 92 94 64
-94 93 445 95 63
-95 444 94 106 96
-96 105 95 227 97
-97 68 226 96 98
-98 99 67 97 449
-99 110 100 448 98
-100 99 231 81 109
-101 102 92 250 120
-102 473 101 91 103
-103 134 102 104 472
-104 133 255 103 105
-105 254 104 106 96
-106 477 105 95 107
-107 476 138 106 108
-108 137 259 107 109
-109 110 100 258 108
-110 99 111 109 461
-111 110 122 112 480
-112 121 111 243 113
-113 242 112 114 84
-114 113 465 115 83
-115 464 114 126 116
-116 125 115 247 117
-117 88 246 116 118
-118 117 469 119 87
-119 468 118 130 120
-120 101 129 119 251
-121 122 112 270 140
-122 121 111 123 493
-123 154 122 124 492
-124 275 123 125 153
-125 124 126 116 274
-126 497 125 115 127
-127 496 158 126 128
-128 157 279 127 129
-129 278 128 130 120
-130 129 481 119 131
-131 132 500 130 142
-132 133 141 131 263
-133 132 134 104 262
-134 133 485 135 103
-135 484 134 146 136
-136 145 135 267 137
-137 266 136 138 108
-138 137 489 139 107
-139 488 138 150 140
-140 121 149 139 271
-141 132 290 160 142
-142 143 13 141 131
-143 12 144 174 142
-144 143 145 173 295
-145 144 146 136 294
-146 145 135 147 17
-147 178 146 16 148
-148 177 299 147 149
-149 298 148 150 140
-150 1 149 139 151
-151 150 162 20 152
-152 161 151 283 153
-153 154 124 282 152
-154 155 123 5 153
-155 154 166 156 4
-156 165 155 287 157
-157 286 156 158 128
-158 157 159 127 9
-159 158 170 160 8
-160 169 159 291 141
-161 310 180 162 152
-162 33 161 151 163
-163 194 162 32 164
-164 165 193 315 163
-165 166 156 314 164
-166 165 155 167 37
-167 198 166 36 168
-168 319 167 169 197
-169 168 170 160 318
-170 169 159 171 21
-171 170 182 40 172
-172 181 171 303 173
-173 144 302 172 174
-174 143 25 173 175
-175 176 24 174 186
-176 177 185 175 307
-177 176 178 148 306
-178 177 179 147 29
-179 178 190 180 28
-180 189 179 311 161
-181 330 200 182 172
-182 181 171 183 53
-183 214 182 52 184
-184 213 335 183 185
-185 176 334 184 186
-186 187 57 185 175
-187 56 188 218 186
-188 187 189 217 339
-189 188 190 180 338
-190 189 179 191 41
-191 190 202 60 192
-192 201 191 323 193
-193 322 192 194 164
-194 45 193 195 163
-195 44 194 206 196
-196 205 195 327 197
-197 198 168 326 196
-198 199 167 49 197
-199 198 210 200 48
-200 209 199 331 181
-201 220 202 192 350
-202 201 191 203 73
-203 234 202 72 204
-204 233 355 203 205
-205 354 204 206 196
-206 77 205 195 207
-207 238 206 76 208
-208 209 237 359 207
-209 210 200 358 208
-210 209 199 211 61
-211 210 222 80 212
-212 221 211 343 213
-213 342 212 214 184
-214 213 215 183 65
-215 214 226 216 64
-216 225 215 347 217
-217 188 346 216 218
-218 187 69 217 219
-219 220 68 218 230
-220 201 229 219 351
-221 222 212 370 240
-222 221 211 223 93
-223 254 222 92 224
-224 253 375 223 225
-225 374 224 226 216
-226 225 215 227 97
-227 258 226 96 228
-228 257 379 227 229
-229 220 378 228 230
-230 231 81 229 219
-231 242 100 232 230
-232 231 363 233 241
-233 232 234 204 362
-234 233 235 203 85
-235 234 246 236 84
-236 245 235 367 237
-237 366 236 238 208
-238 89 237 239 207
-239 88 238 250 240
-240 221 249 239 371
-241 242 232 390 260
-242 231 243 113 241
-243 242 112 244 274
-244 243 245 273 395
-245 244 246 236 394
-246 245 235 247 117
-247 278 246 116 248
-248 277 399 247 249
-249 398 248 250 240
-250 101 249 239 251
-251 250 262 120 252
-252 253 261 251 383
-253 254 224 382 252
-254 253 255 223 105
-255 254 266 256 104
-256 265 255 387 257
-257 386 256 258 228
-258 257 259 227 109
-259 258 270 260 108
-260 269 259 391 241
-261 410 280 262 252
-262 133 261 251 263
-263 132 264 294 262
-264 265 293 415 263
-265 264 266 256 414
-266 265 255 267 137
-267 298 266 136 268
-268 297 419 267 269
-269 418 268 270 260
-270 121 269 259 271
-271 270 282 140 272
-272 281 271 403 273
-273 244 402 272 274
-274 275 243 125 273
-275 286 276 124 274
-276 275 407 277 285
-277 276 278 248 406
-278 277 279 247 129
-279 278 290 280 128
-280 289 279 411 261
-281 430 300 282 272
-282 281 271 283 153
-283 314 282 152 284
-284 313 435 283 285
-285 286 276 434 284
-286 275 287 157 285
-287 286 156 288 318
-288 287 289 317 439
-289 288 290 280 438
-290 289 279 291 141
-291 290 302 160 292
-292 301 291 423 293
-293 264 422 292 294
-294 145 293 295 263
-295 144 294 306 296
-296 297 305 295 427
-297 298 268 426 296
-298 297 299 267 149
-299 298 310 300 148
-300 309 299 431 281
-301 320 302 292 450
-302 301 291 303 173
-303 334 302 172 304
-304 333 455 303 305
-305 454 304 306 296
-306 177 305 295 307
-307 176 308 338 306
-308 309 337 459 307
-309 308 310 300 458
-310 309 299 311 161
-311 310 322 180 312
-312 321 311 443 313
-313 442 312 314 284
-314 165 313 315 283
-315 314 326 316 164
-316 325 315 447 317
-317 288 446 316 318
-318 319 287 169 317
-319 330 320 168 318
-320 319 451 301 329
-321 322 312 470 340
-322 321 311 323 193
-323 354 322 192 324
-324 353 475 323 325
-325 474 324 326 316
-326 325 315 327 197
-327 358 326 196 328
-328 357 479 327 329
-329 330 320 478 328
-330 319 331 181 329
-331 330 342 200 332
-332 341 331 463 333
-333 462 332 334 304
-334 333 335 303 185
-335 334 346 336 184
-336 345 335 467 337
-337 308 466 336 338
-338 189 337 339 307
-339 188 338 350 340
-340 321 349 339 471
-341 342 332 490 360
-342 341 331 343 213
-343 374 342 212 344
-344 495 343 345 373
-345 344 346 336 494
-346 345 335 347 217
-347 378 346 216 348
-348 377 499 347 349
-349 498 348 350 340
-350 201 349 339 351
-351 220 352 350 362
-352 353 361 351 483
-353 352 354 324 482
-354 353 355 323 205
-355 354 366 356 204
-356 365 355 487 357
-357 486 356 358 328
-358 209 357 359 327
-359 358 370 360 208
-360 341 369 359 491
-361 352 380 10 362
-362 363 233 361 351
-363 232 364 394 362
-364 363 365 15 393
-365 364 14 366 356
-366 365 355 367 237
-367 398 366 236 368
-368 397 367 369 19
-369 368 18 370 360
-370 221 369 359 371
-371 370 382 240 372
-372 3 381 371 373
-373 374 2 344 372
-374 375 343 225 373
-375 374 386 376 224
-376 385 375 377 7
-377 376 378 6 348
-378 377 379 347 229
-379 378 390 380 228
-380 11 389 379 361
-381 400 30 382 372
-382 253 381 371 383
-383 414 382 252 384
-384 385 35 413 383
-385 34 386 376 384
-386 385 375 387 257
-387 418 386 256 388
-388 387 389 39 417
-389 388 38 390 380
-390 389 379 391 241
-391 390 402 260 392
-392 23 401 391 393
-393 22 364 392 394
-394 363 245 393 395
-395 396 244 394 406
-396 397 27 405 395
-397 396 398 26 368
-398 397 399 367 249
-399 398 410 400 248
-400 409 399 381 31
-401 420 50 402 392
-402 401 391 403 273
-403 434 402 272 404
-404 55 433 403 405
-405 396 404 54 406
-406 407 277 405 395
-407 276 408 438 406
-408 407 409 59 437
-409 408 58 410 400
-410 409 399 411 261
-411 410 422 280 412
-412 421 411 413 43
-413 412 414 42 384
-414 265 413 415 383
-415 264 414 426 416
-416 47 425 415 417
-417 418 46 388 416
-418 419 387 269 417
-419 418 430 420 268
-420 429 419 401 51
-421 440 70 422 412
-422 421 411 423 293
-423 454 422 292 424
-424 453 423 425 75
-425 424 74 426 416
-426 297 425 415 427
-427 458 426 296 428
-428 429 79 457 427
-429 78 430 420 428
-430 429 419 431 281
-431 430 442 300 432
-432 441 431 433 63
-433 432 434 62 404
-434 433 435 403 285
-435 434 446 436 284
-436 67 445 435 437
-437 66 408 436 438
-438 407 289 437 439
-439 440 288 438 450
-440 421 71 449 439
-441 90 442 432 460
-442 441 431 443 313
-443 474 442 312 444
-444 473 443 445 95
-445 444 94 446 436
-446 445 435 447 317
-447 478 446 316 448
-448 99 477 447 449
-449 440 448 98 450
-450 451 301 449 439
-451 462 320 452 450
-452 451 453 83 461
-453 452 454 82 424
-454 453 455 423 305
-455 454 466 456 304
-456 465 455 457 87
-457 456 458 86 428
-458 309 457 459 427
-459 308 458 470 460
-460 441 91 469 459
-461 110 462 452 480
-462 451 463 333 461
-463 462 332 464 494
-464 463 465 115 493
-465 464 114 466 456
-466 465 455 467 337
-467 498 466 336 468
-468 497 467 469 119
-469 468 118 470 460
-470 321 469 459 471
-471 470 482 340 472
-472 473 103 481 471
-473 474 102 444 472
-474 473 475 443 325
-475 474 486 476 324
-476 485 475 477 107
-477 476 478 106 448
-478 477 479 447 329
-479 478 490 480 328
-480 111 489 479 461
-481 500 130 482 472
-482 353 481 471 483
-483 352 484 14 482
-484 485 13 135 483
-485 484 134 486 476
-486 485 475 487 357
-487 486 356 488 18
-488 487 489 17 139
-489 488 138 490 480
-490 341 489 479 491
-491 2 490 360 492
-492 1 123 491 493
-493 122 464 492 494
-494 495 463 345 493
-495 496 344 6 494
-496 495 497 5 127
-497 496 498 126 468
-498 497 499 467 349
-499 498 500 348 10
-500 499 481 9 131
0