[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 424, 2 ] =
C_424(1,105).
(I) Following is a form readable by MAGMA:
g:=Graph<424|{ {2, 3}, {422, 423}, {420, 421}, {418, 419}, {416, 417}, {414,
415}, {412, 413}, {410, 411}, {408, 409}, {406, 407}, {404, 405}, {402, 403},
{400, 401}, {398, 399}, {396, 397}, {394, 395}, {392, 393}, {390, 391}, {388,
389}, {386, 387}, {384, 385}, {382, 383}, {380, 381}, {378, 379}, {376, 377},
{374, 375}, {372, 373}, {370, 371}, {368, 369}, {366, 367}, {364, 365}, {362,
363}, {360, 361}, {358, 359}, {356, 357}, {354, 355}, {352, 353}, {350, 351},
{348, 349}, {346, 347}, {344, 345}, {342, 343}, {340, 341}, {338, 339}, {336,
337}, {334, 335}, {332, 333}, {330, 331}, {328, 329}, {326, 327}, {324, 325},
{322, 323}, {320, 321}, {318, 319}, {316, 317}, {314, 315}, {312, 313}, {310,
311}, {308, 309}, {306, 307}, {304, 305}, {302, 303}, {300, 301}, {298, 299},
{296, 297}, {294, 295}, {292, 293}, {290, 291}, {288, 289}, {286, 287}, {284,
285}, {282, 283}, {280, 281}, {278, 279}, {276, 277}, {274, 275}, {272, 273},
{270, 271}, {268, 269}, {266, 267}, {264, 265}, {262, 263}, {260, 261}, {258,
259}, {256, 257}, {254, 255}, {252, 253}, {250, 251}, {124, 125}, {122, 123},
{120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108,
109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94,
95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78,
79}, {76, 77}, {74, 75}, {72, 73}, {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}, {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}, {1, 2}, {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},
{349, 350}, {345, 346}, {341, 342}, {337, 338}, {333, 334}, {329, 330}, {325,
326}, {321, 322}, {317, 318}, {313, 314}, {309, 310}, {305, 306}, {301, 302},
{297, 298}, {293, 294}, {289, 290}, {285, 286}, {281, 282}, {277, 278}, {273,
274}, {269, 270}, {265, 266}, {261, 262}, {257, 258}, {253, 254}, {121, 122},
{117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94},
{89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {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}, {125, 126}, {129,
130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154},
{157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {177, 178}, {181,
182}, {185, 186}, {189, 190}, {193, 194}, {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}, {3, 4}, {419, 420}, {411,
412}, {403, 404}, {395, 396}, {387, 388}, {379, 380}, {371, 372}, {363, 364},
{355, 356}, {347, 348}, {339, 340}, {331, 332}, {323, 324}, {315, 316}, {307,
308}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260},
{251, 252}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84},
{75, 76}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60},
{67, 68}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171,
172}, {179, 180}, {187, 188}, {195, 196}, {203, 204}, {211, 212}, {219, 220},
{227, 228}, {235, 236}, {243, 244}, {7, 8}, {423, 424}, {407, 408}, {391, 392},
{375, 376}, {359, 360}, {343, 344}, {327, 328}, {311, 312}, {295, 296}, {279,
280}, {263, 264}, {119, 120}, {103, 104}, {87, 88}, {23, 24}, {39, 40}, {55,
56}, {71, 72}, {135, 136}, {151, 152}, {167, 168}, {183, 184}, {199, 200}, {215,
216}, {231, 232}, {247, 248}, {15, 16}, {399, 400}, {367, 368}, {335, 336},
{303, 304}, {271, 272}, {111, 112}, {79, 80}, {47, 48}, {143, 144}, {175, 176},
{207, 208}, {239, 240}, {31, 32}, {415, 416}, {351, 352}, {287, 288}, {95, 96},
{159, 160}, {223, 224}, {2, 107}, {278, 383}, {276, 381}, {274, 379}, {272,
377}, {262, 367}, {260, 365}, {258, 363}, {256, 361}, {4, 109}, {6, 111}, {16,
121}, {18, 123}, {20, 125}, {22, 127}, {128, 233}, {130, 235}, {132, 237}, {134,
239}, {144, 249}, {146, 251}, {148, 253}, {150, 255}, {1, 106}, {277, 382},
{273, 378}, {261, 366}, {257, 362}, {5, 110}, {17, 122}, {21, 126}, {129, 234},
{133, 238}, {145, 250}, {149, 254}, {3, 108}, {275, 380}, {259, 364}, {19, 124},
{131, 236}, {147, 252}, {7, 112}, {271, 376}, {263, 368}, {15, 120}, {135, 240},
{143, 248}, {8, 113}, {270, 375}, {268, 373}, {266, 371}, {264, 369}, {10, 115},
{12, 117}, {14, 119}, {136, 241}, {138, 243}, {140, 245}, {142, 247}, {9, 114},
{269, 374}, {265, 370}, {13, 118}, {137, 242}, {141, 246}, {11, 116}, {319,
320}, {267, 372}, {63, 64}, {139, 244}, {191, 192}, {23, 128}, {319, 424}, {311,
416}, {287, 392}, {279, 384}, {119, 224}, {95, 200}, {87, 192}, {31, 136}, {55,
160}, {63, 168}, {127, 232}, {24, 129}, {318, 423}, {316, 421}, {314, 419},
{312, 417}, {286, 391}, {284, 389}, {282, 387}, {280, 385}, {122, 227}, {120,
225}, {94, 199}, {92, 197}, {90, 195}, {88, 193}, {26, 131}, {28, 133}, {30,
135}, {56, 161}, {58, 163}, {60, 165}, {62, 167}, {124, 229}, {126, 231}, {25,
130}, {317, 422}, {313, 418}, {285, 390}, {281, 386}, {121, 226}, {93, 198},
{89, 194}, {29, 134}, {57, 162}, {61, 166}, {125, 230}, {27, 132}, {315, 420},
{283, 388}, {123, 228}, {91, 196}, {59, 164}, {32, 137}, {310, 415}, {308, 413},
{306, 411}, {304, 409}, {294, 399}, {292, 397}, {290, 395}, {288, 393}, {118,
223}, {116, 221}, {114, 219}, {112, 217}, {102, 207}, {100, 205}, {98, 203},
{96, 201}, {34, 139}, {36, 141}, {38, 143}, {48, 153}, {50, 155}, {52, 157},
{54, 159}, {33, 138}, {309, 414}, {305, 410}, {293, 398}, {289, 394}, {117,
222}, {113, 218}, {101, 206}, {97, 202}, {37, 142}, {49, 154}, {53, 158}, {35,
140}, {307, 412}, {291, 396}, {115, 220}, {99, 204}, {51, 156}, {39, 144}, {303,
408}, {295, 400}, {111, 216}, {103, 208}, {47, 152}, {40, 145}, {302, 407},
{300, 405}, {298, 403}, {296, 401}, {110, 215}, {108, 213}, {106, 211}, {104,
209}, {42, 147}, {44, 149}, {46, 151}, {41, 146}, {301, 406}, {297, 402}, {109,
214}, {105, 210}, {45, 150}, {43, 148}, {299, 404}, {107, 212}, {64, 169}, {86,
191}, {84, 189}, {82, 187}, {80, 185}, {66, 171}, {68, 173}, {70, 175}, {65,
170}, {85, 190}, {81, 186}, {69, 174}, {67, 172}, {83, 188}, {71, 176}, {79,
184}, {72, 177}, {78, 183}, {76, 181}, {74, 179}, {73, 178}, {77, 182}, {75,
180}, {383, 384}, {127, 128}, {64, 383}, {1, 320}, {3, 322}, {5, 324}, {7, 326},
{9, 328}, {11, 330}, {13, 332}, {15, 334}, {17, 336}, {19, 338}, {21, 340}, {23,
342}, {25, 344}, {27, 346}, {29, 348}, {31, 350}, {33, 352}, {35, 354}, {37,
356}, {39, 358}, {41, 360}, {43, 362}, {45, 364}, {47, 366}, {49, 368}, {51,
370}, {53, 372}, {55, 374}, {57, 376}, {59, 378}, {61, 380}, {63, 382}, {2,
321}, {6, 325}, {10, 329}, {14, 333}, {18, 337}, {22, 341}, {26, 345}, {30,
349}, {34, 353}, {38, 357}, {42, 361}, {46, 365}, {50, 369}, {54, 373}, {58,
377}, {62, 381}, {4, 323}, {12, 331}, {20, 339}, {28, 347}, {36, 355}, {44,
363}, {52, 371}, {60, 379}, {8, 327}, {24, 343}, {40, 359}, {56, 375}, {16,
335}, {48, 367}, {32, 351}, {151, 256}, {255, 360}, {159, 264}, {183, 288},
{191, 296}, {215, 320}, {223, 328}, {247, 352}, {152, 257}, {254, 359}, {252,
357}, {250, 355}, {154, 259}, {156, 261}, {158, 263}, {184, 289}, {186, 291},
{188, 293}, {190, 295}, {216, 321}, {218, 323}, {220, 325}, {222, 327}, {248,
353}, {153, 258}, {253, 358}, {249, 354}, {157, 262}, {185, 290}, {189, 294},
{217, 322}, {221, 326}, {155, 260}, {251, 356}, {187, 292}, {219, 324}, {1,
424}, {160, 265}, {162, 267}, {164, 269}, {166, 271}, {176, 281}, {178, 283},
{180, 285}, {182, 287}, {224, 329}, {226, 331}, {228, 333}, {230, 335}, {240,
345}, {242, 347}, {244, 349}, {246, 351}, {161, 266}, {165, 270}, {177, 282},
{181, 286}, {225, 330}, {229, 334}, {241, 346}, {245, 350}, {163, 268}, {179,
284}, {227, 332}, {243, 348}, {167, 272}, {175, 280}, {231, 336}, {239, 344},
{168, 273}, {170, 275}, {172, 277}, {174, 279}, {232, 337}, {234, 339}, {236,
341}, {238, 343}, {169, 274}, {173, 278}, {233, 338}, {237, 342}, {171, 276},
{235, 340}, {65, 384}, {105, 424}, {103, 422}, {101, 420}, {99, 418}, {97, 416},
{95, 414}, {93, 412}, {91, 410}, {89, 408}, {87, 406}, {85, 404}, {83, 402},
{81, 400}, {79, 398}, {77, 396}, {75, 394}, {73, 392}, {67, 386}, {69, 388},
{71, 390}, {66, 385}, {102, 421}, {98, 417}, {94, 413}, {90, 409}, {86, 405},
{82, 401}, {78, 397}, {74, 393}, {70, 389}, {68, 387}, {100, 419}, {92, 411},
{84, 403}, {76, 395}, {72, 391}, {104, 423}, {88, 407}, {80, 399}, {192, 297},
{194, 299}, {196, 301}, {198, 303}, {208, 313}, {210, 315}, {212, 317}, {214,
319}, {193, 298}, {197, 302}, {209, 314}, {213, 318}, {195, 300}, {211, 316},
{199, 304}, {207, 312}, {200, 305}, {202, 307}, {204, 309}, {206, 311}, {201,
306}, {205, 310}, {96, 415}, {255, 256}, {203, 308} }>;
(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, 106)(3, 211)(4, 316)(5, 421)(6, 102)(7, 207)(8, 312)(9, 417)(10, 98)(11,
203)(12, 308)(13, 413)(14, 94)(15, 199)(16, 304)(17, 409)(18, 90)(19, 195)(20,
300)(21, 405)(22, 86)(23, 191)(24, 296)(25, 401)(26, 82)(27, 187)(28, 292)(29,
397)(30, 78)(31, 183)(32, 288)(33, 393)(34, 74)(35, 179)(36, 284)(37, 389)(38,
70)(39, 175)(40, 280)(41, 385)(42, 66)(43, 171)(44, 276)(45, 381)(46, 62)(47,
167)(48, 272)(49, 377)(50, 58)(51, 163)(52, 268)(53, 373)(55, 159)(56, 264)(57,
369)(59, 155)(60, 260)(61, 365)(63, 151)(64, 256)(65, 361)(67, 147)(68, 252)(69,
357)(71, 143)(72, 248)(73, 353)(75, 139)(76, 244)(77, 349)(79, 135)(80, 240)(81,
345)(83, 131)(84, 236)(85, 341)(87, 127)(88, 232)(89, 337)(91, 123)(92, 228)(93,
333)(95, 119)(96, 224)(97, 329)(99, 115)(100, 220)(101, 325)(103, 111)(104,
216)(105, 321)(108, 212)(109, 317)(110, 422)(112, 208)(113, 313)(114, 418)(116,
204)(117, 309)(118, 414)(120, 200)(121, 305)(122, 410)(124, 196)(125, 301)(126,
406)(128, 192)(129, 297)(130, 402)(132, 188)(133, 293)(134, 398)(136, 184)(137,
289)(138, 394)(140, 180)(141, 285)(142, 390)(144, 176)(145, 281)(146, 386)(148,
172)(149, 277)(150, 382)(152, 168)(153, 273)(154, 378)(156, 164)(157, 269)(158,
374)(161, 265)(162, 370)(165, 261)(166, 366)(169, 257)(170, 362)(173, 253)(174,
358)(177, 249)(178, 354)(181, 245)(182, 350)(185, 241)(186, 346)(189, 237)(190,
342)(193, 233)(194, 338)(197, 229)(198, 334)(201, 225)(202, 330)(205, 221)(206,
326)(209, 217)(210, 322)(214, 318)(215, 423)(218, 314)(219, 419)(222, 310)(223,
415)(226, 306)(227, 411)(230, 302)(231, 407)(234, 298)(235, 403)(238, 294)(239,
399)(242, 290)(243, 395)(246, 286)(247, 391)(250, 282)(251, 387)(254, 278)(255,
383)(258, 274)(259, 379)(262, 270)(263, 375)(267, 371)(271, 367)(275, 363)(279,
359)(283, 355)(287, 351)(291, 347)(295, 343)(299, 339)(303, 335)(307, 331)(311,
327)(315, 323)(320, 424)(324, 420)(328, 416)(332, 412)(336, 408)(340, 404)(344,
400)(348, 396)(352, 392)(356, 388)(360, 384)(364, 380)(368, 376) (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,
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)
c: (2, 320)(3, 215)(4, 110)(6, 324)(7, 219)(8, 114)(10, 328)(11, 223)(12,
118)(14, 332)(15, 227)(16, 122)(18, 336)(19, 231)(20, 126)(22, 340)(23, 235)(24,
130)(26, 344)(27, 239)(28, 134)(30, 348)(31, 243)(32, 138)(34, 352)(35, 247)(36,
142)(38, 356)(39, 251)(40, 146)(42, 360)(43, 255)(44, 150)(46, 364)(47, 259)(48,
154)(50, 368)(51, 263)(52, 158)(54, 372)(55, 267)(56, 162)(58, 376)(59, 271)(60,
166)(62, 380)(63, 275)(64, 170)(66, 384)(67, 279)(68, 174)(70, 388)(71, 283)(72,
178)(74, 392)(75, 287)(76, 182)(78, 396)(79, 291)(80, 186)(82, 400)(83, 295)(84,
190)(86, 404)(87, 299)(88, 194)(90, 408)(91, 303)(92, 198)(94, 412)(95, 307)(96,
202)(98, 416)(99, 311)(100, 206)(102, 420)(103, 315)(104, 210)(106, 424)(107,
319)(108, 214)(111, 323)(112, 218)(115, 327)(116, 222)(119, 331)(120, 226)(123,
335)(124, 230)(127, 339)(128, 234)(131, 343)(132, 238)(135, 347)(136, 242)(139,
351)(140, 246)(143, 355)(144, 250)(147, 359)(148, 254)(151, 363)(152, 258)(155,
367)(156, 262)(159, 371)(160, 266)(163, 375)(164, 270)(167, 379)(168, 274)(171,
383)(172, 278)(175, 387)(176, 282)(179, 391)(180, 286)(183, 395)(184, 290)(187,
399)(188, 294)(191, 403)(192, 298)(195, 407)(196, 302)(199, 411)(200, 306)(203,
415)(204, 310)(207, 419)(208, 314)(211, 423)(212, 318)(216, 322)(220, 326)(224,
330)(228, 334)(232, 338)(236, 342)(240, 346)(244, 350)(248, 354)(252, 358)(256,
362)(260, 366)(264, 370)(268, 374)(272, 378)(276, 382)(280, 386)(284, 390)(288,
394)(292, 398)(296, 402)(300, 406)(304, 410)(308, 414)(312, 418)(316, 422)
C4[ 424, 2 ]
424
-1 320 2 424 106
-2 1 321 3 107
-3 2 322 4 108
-4 3 323 5 109
-5 110 4 324 6
-6 111 5 325 7
-7 112 6 326 8
-8 113 7 327 9
-9 114 8 328 10
-10 11 115 9 329
-11 330 12 116 10
-12 11 331 13 117
-13 12 332 14 118
-14 13 333 15 119
-15 14 334 16 120
-16 121 15 335 17
-17 122 16 336 18
-18 123 17 337 19
-19 124 18 338 20
-20 125 19 339 21
-21 22 126 20 340
-22 341 23 127 21
-23 22 342 24 128
-24 23 343 25 129
-25 24 344 26 130
-26 25 345 27 131
-27 132 26 346 28
-28 133 27 347 29
-29 134 28 348 30
-30 135 29 349 31
-31 136 30 350 32
-32 33 137 31 351
-33 352 34 138 32
-34 33 353 35 139
-35 34 354 36 140
-36 35 355 37 141
-37 36 356 38 142
-38 143 37 357 39
-39 144 38 358 40
-40 145 39 359 41
-41 146 40 360 42
-42 147 41 361 43
-43 44 148 42 362
-44 363 45 149 43
-45 44 364 46 150
-46 45 365 47 151
-47 46 366 48 152
-48 47 367 49 153
-49 154 48 368 50
-50 155 49 369 51
-51 156 50 370 52
-52 157 51 371 53
-53 158 52 372 54
-54 55 159 53 373
-55 374 56 160 54
-56 55 375 57 161
-57 56 376 58 162
-58 57 377 59 163
-59 58 378 60 164
-60 165 59 379 61
-61 166 60 380 62
-62 167 61 381 63
-63 168 62 382 64
-64 169 63 383 65
-65 66 170 64 384
-66 385 67 171 65
-67 66 386 68 172
-68 67 387 69 173
-69 68 388 70 174
-70 69 389 71 175
-71 176 70 390 72
-72 177 71 391 73
-73 178 72 392 74
-74 179 73 393 75
-75 180 74 394 76
-76 77 181 75 395
-77 396 78 182 76
-78 77 397 79 183
-79 78 398 80 184
-80 79 399 81 185
-81 80 400 82 186
-82 187 81 401 83
-83 188 82 402 84
-84 189 83 403 85
-85 190 84 404 86
-86 191 85 405 87
-87 88 192 86 406
-88 407 89 193 87
-89 88 408 90 194
-90 89 409 91 195
-91 90 410 92 196
-92 91 411 93 197
-93 198 92 412 94
-94 199 93 413 95
-95 200 94 414 96
-96 201 95 415 97
-97 202 96 416 98
-98 99 203 97 417
-99 418 100 204 98
-100 99 419 101 205
-101 100 420 102 206
-102 101 421 103 207
-103 102 422 104 208
-104 209 103 423 105
-105 210 104 424 106
-106 1 211 105 107
-107 2 212 106 108
-108 3 213 107 109
-109 110 4 214 108
-110 111 5 215 109
-111 110 112 6 216
-112 111 113 7 217
-113 112 114 8 218
-114 113 115 9 219
-115 220 114 116 10
-116 11 221 115 117
-117 12 222 116 118
-118 13 223 117 119
-119 14 224 118 120
-120 121 15 225 119
-121 122 16 226 120
-122 121 123 17 227
-123 122 124 18 228
-124 123 125 19 229
-125 124 126 20 230
-126 231 125 127 21
-127 22 232 126 128
-128 23 233 127 129
-129 24 234 128 130
-130 25 235 129 131
-131 132 26 236 130
-132 133 27 237 131
-133 132 134 28 238
-134 133 135 29 239
-135 134 136 30 240
-136 135 137 31 241
-137 242 136 138 32
-138 33 243 137 139
-139 34 244 138 140
-140 35 245 139 141
-141 36 246 140 142
-142 143 37 247 141
-143 144 38 248 142
-144 143 145 39 249
-145 144 146 40 250
-146 145 147 41 251
-147 146 148 42 252
-148 253 147 149 43
-149 44 254 148 150
-150 45 255 149 151
-151 46 256 150 152
-152 47 257 151 153
-153 154 48 258 152
-154 155 49 259 153
-155 154 156 50 260
-156 155 157 51 261
-157 156 158 52 262
-158 157 159 53 263
-159 264 158 160 54
-160 55 265 159 161
-161 56 266 160 162
-162 57 267 161 163
-163 58 268 162 164
-164 165 59 269 163
-165 166 60 270 164
-166 165 167 61 271
-167 166 168 62 272
-168 167 169 63 273
-169 168 170 64 274
-170 275 169 171 65
-171 66 276 170 172
-172 67 277 171 173
-173 68 278 172 174
-174 69 279 173 175
-175 176 70 280 174
-176 177 71 281 175
-177 176 178 72 282
-178 177 179 73 283
-179 178 180 74 284
-180 179 181 75 285
-181 286 180 182 76
-182 77 287 181 183
-183 78 288 182 184
-184 79 289 183 185
-185 80 290 184 186
-186 187 81 291 185
-187 188 82 292 186
-188 187 189 83 293
-189 188 190 84 294
-190 189 191 85 295
-191 190 192 86 296
-192 297 191 193 87
-193 88 298 192 194
-194 89 299 193 195
-195 90 300 194 196
-196 91 301 195 197
-197 198 92 302 196
-198 199 93 303 197
-199 198 200 94 304
-200 199 201 95 305
-201 200 202 96 306
-202 201 203 97 307
-203 308 202 204 98
-204 99 309 203 205
-205 100 310 204 206
-206 101 311 205 207
-207 102 312 206 208
-208 209 103 313 207
-209 210 104 314 208
-210 209 211 105 315
-211 210 212 106 316
-212 211 213 107 317
-213 212 214 108 318
-214 319 213 215 109
-215 110 320 214 216
-216 111 321 215 217
-217 112 322 216 218
-218 113 323 217 219
-219 220 114 324 218
-220 221 115 325 219
-221 220 222 116 326
-222 221 223 117 327
-223 222 224 118 328
-224 223 225 119 329
-225 330 224 226 120
-226 121 331 225 227
-227 122 332 226 228
-228 123 333 227 229
-229 124 334 228 230
-230 231 125 335 229
-231 232 126 336 230
-232 231 233 127 337
-233 232 234 128 338
-234 233 235 129 339
-235 234 236 130 340
-236 341 235 237 131
-237 132 342 236 238
-238 133 343 237 239
-239 134 344 238 240
-240 135 345 239 241
-241 242 136 346 240
-242 243 137 347 241
-243 242 244 138 348
-244 243 245 139 349
-245 244 246 140 350
-246 245 247 141 351
-247 352 246 248 142
-248 143 353 247 249
-249 144 354 248 250
-250 145 355 249 251
-251 146 356 250 252
-252 253 147 357 251
-253 254 148 358 252
-254 253 255 149 359
-255 254 256 150 360
-256 255 257 151 361
-257 256 258 152 362
-258 363 257 259 153
-259 154 364 258 260
-260 155 365 259 261
-261 156 366 260 262
-262 157 367 261 263
-263 264 158 368 262
-264 265 159 369 263
-265 264 266 160 370
-266 265 267 161 371
-267 266 268 162 372
-268 267 269 163 373
-269 374 268 270 164
-270 165 375 269 271
-271 166 376 270 272
-272 167 377 271 273
-273 168 378 272 274
-274 275 169 379 273
-275 276 170 380 274
-276 275 277 171 381
-277 276 278 172 382
-278 277 279 173 383
-279 278 280 174 384
-280 385 279 281 175
-281 176 386 280 282
-282 177 387 281 283
-283 178 388 282 284
-284 179 389 283 285
-285 286 180 390 284
-286 287 181 391 285
-287 286 288 182 392
-288 287 289 183 393
-289 288 290 184 394
-290 289 291 185 395
-291 396 290 292 186
-292 187 397 291 293
-293 188 398 292 294
-294 189 399 293 295
-295 190 400 294 296
-296 297 191 401 295
-297 298 192 402 296
-298 297 299 193 403
-299 298 300 194 404
-300 299 301 195 405
-301 300 302 196 406
-302 407 301 303 197
-303 198 408 302 304
-304 199 409 303 305
-305 200 410 304 306
-306 201 411 305 307
-307 308 202 412 306
-308 309 203 413 307
-309 308 310 204 414
-310 309 311 205 415
-311 310 312 206 416
-312 311 313 207 417
-313 418 312 314 208
-314 209 419 313 315
-315 210 420 314 316
-316 211 421 315 317
-317 212 422 316 318
-318 319 213 423 317
-319 320 214 424 318
-320 319 1 321 215
-321 320 2 322 216
-322 321 3 323 217
-323 322 4 324 218
-324 323 5 325 219
-325 220 324 6 326
-326 221 325 7 327
-327 222 326 8 328
-328 223 327 9 329
-329 330 224 328 10
-330 11 331 225 329
-331 330 12 332 226
-332 331 13 333 227
-333 332 14 334 228
-334 333 15 335 229
-335 334 16 336 230
-336 231 335 17 337
-337 232 336 18 338
-338 233 337 19 339
-339 234 338 20 340
-340 341 235 339 21
-341 22 342 236 340
-342 341 23 343 237
-343 342 24 344 238
-344 343 25 345 239
-345 344 26 346 240
-346 345 27 347 241
-347 242 346 28 348
-348 243 347 29 349
-349 244 348 30 350
-350 245 349 31 351
-351 352 246 350 32
-352 33 353 247 351
-353 352 34 354 248
-354 353 35 355 249
-355 354 36 356 250
-356 355 37 357 251
-357 356 38 358 252
-358 253 357 39 359
-359 254 358 40 360
-360 255 359 41 361
-361 256 360 42 362
-362 363 257 361 43
-363 44 364 258 362
-364 363 45 365 259
-365 364 46 366 260
-366 365 47 367 261
-367 366 48 368 262
-368 367 49 369 263
-369 264 368 50 370
-370 265 369 51 371
-371 266 370 52 372
-372 267 371 53 373
-373 374 268 372 54
-374 55 375 269 373
-375 374 56 376 270
-376 375 57 377 271
-377 376 58 378 272
-378 377 59 379 273
-379 378 60 380 274
-380 275 379 61 381
-381 276 380 62 382
-382 277 381 63 383
-383 278 382 64 384
-384 385 279 383 65
-385 66 386 280 384
-386 385 67 387 281
-387 386 68 388 282
-388 387 69 389 283
-389 388 70 390 284
-390 389 71 391 285
-391 286 390 72 392
-392 287 391 73 393
-393 288 392 74 394
-394 289 393 75 395
-395 396 290 394 76
-396 77 397 291 395
-397 396 78 398 292
-398 397 79 399 293
-399 398 80 400 294
-400 399 81 401 295
-401 400 82 402 296
-402 297 401 83 403
-403 298 402 84 404
-404 299 403 85 405
-405 300 404 86 406
-406 407 301 405 87
-407 88 408 302 406
-408 407 89 409 303
-409 408 90 410 304
-410 409 91 411 305
-411 410 92 412 306
-412 411 93 413 307
-413 308 412 94 414
-414 309 413 95 415
-415 310 414 96 416
-416 311 415 97 417
-417 418 312 416 98
-418 99 419 313 417
-419 418 100 420 314
-420 419 101 421 315
-421 420 102 422 316
-422 421 103 423 317
-423 422 104 424 318
-424 319 1 423 105
0