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