C4graphGraph forms for C4 [ 386, 2 ] = C_386(1,81)

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On this page are computer-accessible forms for the graph C4[ 386, 2 ] = C_386(1,81).

(I) Following is a form readable by MAGMA:

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

(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
C4[ 386, 2 ]
386
-1 386 2 82 306
-2 1 3 83 307
-3 308 2 4 84
-4 309 3 5 85
-5 310 4 6 86
-6 311 5 7 87
-7 88 312 6 8
-8 89 313 7 9
-9 90 314 8 10
-10 11 91 315 9
-11 12 92 316 10
-12 11 13 93 317
-13 12 14 94 318
-14 319 13 15 95
-15 320 14 16 96
-16 321 15 17 97
-17 322 16 18 98
-18 99 323 17 19
-19 100 324 18 20
-20 101 325 19 21
-21 22 102 326 20
-22 23 103 327 21
-23 22 24 104 328
-24 23 25 105 329
-25 330 24 26 106
-26 331 25 27 107
-27 332 26 28 108
-28 333 27 29 109
-29 110 334 28 30
-30 111 335 29 31
-31 112 336 30 32
-32 33 113 337 31
-33 34 114 338 32
-34 33 35 115 339
-35 34 36 116 340
-36 341 35 37 117
-37 342 36 38 118
-38 343 37 39 119
-39 344 38 40 120
-40 121 345 39 41
-41 122 346 40 42
-42 123 347 41 43
-43 44 124 348 42
-44 45 125 349 43
-45 44 46 126 350
-46 45 47 127 351
-47 352 46 48 128
-48 353 47 49 129
-49 354 48 50 130
-50 355 49 51 131
-51 132 356 50 52
-52 133 357 51 53
-53 134 358 52 54
-54 55 135 359 53
-55 56 136 360 54
-56 55 57 137 361
-57 56 58 138 362
-58 363 57 59 139
-59 364 58 60 140
-60 365 59 61 141
-61 366 60 62 142
-62 143 367 61 63
-63 144 368 62 64
-64 145 369 63 65
-65 66 146 370 64
-66 67 147 371 65
-67 66 68 148 372
-68 67 69 149 373
-69 374 68 70 150
-70 375 69 71 151
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-73 154 378 72 74
-74 155 379 73 75
-75 156 380 74 76
-76 77 157 381 75
-77 78 158 382 76
-78 77 79 159 383
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-80 385 79 81 161
-81 386 80 82 162
-82 1 81 83 163
-83 2 82 84 164
-84 165 3 83 85
-85 166 4 84 86
-86 167 5 85 87
-87 88 168 6 86
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-90 89 91 171 9
-91 90 92 172 10
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-94 13 93 95 175
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-113 112 114 194 32
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-116 35 115 117 197
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-219 220 300 138 218
-220 221 301 139 219
-221 220 222 302 140
-222 221 223 303 141
-223 222 224 304 142
-224 143 223 225 305
-225 144 224 226 306
-226 145 225 227 307
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-231 232 312 150 230
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-234 233 235 315 153
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-236 155 235 237 317
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-244 243 245 325 163
-245 244 246 326 164
-246 165 245 247 327
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-248 167 247 249 329
-249 330 168 248 250
-250 331 169 249 251
-251 332 170 250 252
-252 253 333 171 251
-253 254 334 172 252
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-256 255 257 337 175
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-265 264 266 346 184
-266 265 267 347 185
-267 266 268 348 186
-268 187 267 269 349
-269 188 268 270 350
-270 189 269 271 351
-271 352 190 270 272
-272 353 191 271 273
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-274 275 355 193 273
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-276 275 277 357 195
-277 276 278 358 196
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-280 199 279 281 361
-281 200 280 282 362
-282 363 201 281 283
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-284 365 203 283 285
-285 286 366 204 284
-286 287 367 205 285
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-290 209 289 291 371
-291 210 290 292 372
-292 211 291 293 373
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-296 297 377 215 295
-297 298 378 216 296
-298 297 299 379 217
-299 298 300 380 218
-300 299 301 381 219
-301 220 300 302 382
-302 221 301 303 383
-303 222 302 304 384
-304 385 223 303 305
-305 386 224 304 306
-306 1 225 305 307
-307 308 2 226 306
-308 309 3 227 307
-309 308 310 4 228
-310 309 311 5 229
-311 310 312 6 230
-312 231 311 313 7
-313 232 312 314 8
-314 233 313 315 9
-315 234 314 316 10
-316 11 235 315 317
-317 12 236 316 318
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0

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