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