C4graphGraph forms for C4 [ 303, 1 ] = C_303(1,100)

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On this page are computer-accessible forms for the graph C4[ 303, 1 ] = C_303(1,100).

(I) Following is a form readable by MAGMA:

g:=Graph<303|{ {2, 3}, {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}, {248, 249}, {246, 247}, {244, 245}, {242, 243}, {240, 241}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {218, 219}, {216, 217}, {214, 215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203}, {200, 201}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {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}, {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}, {1, 2}, {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}, {249, 250}, {245, 246}, {241, 242}, {237, 238}, {233, 234}, {229, 230}, {225, 226}, {221, 222}, {217, 218}, {213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {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}, {3, 4}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {187, 188}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {7, 8}, {295, 296}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200}, {183, 184}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {15, 16}, {271, 272}, {239, 240}, {207, 208}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {175, 176}, {31, 32}, {287, 288}, {223, 224}, {95, 96}, {159, 160}, {1, 101}, {2, 102}, {3, 103}, {8, 108}, {9, 109}, {10, 110}, {11, 111}, {16, 116}, {17, 117}, {18, 118}, {19, 119}, {24, 124}, {25, 125}, {26, 126}, {27, 127}, {128, 228}, {129, 229}, {130, 230}, {131, 231}, {136, 236}, {137, 237}, {138, 238}, {139, 239}, {144, 244}, {145, 245}, {146, 246}, {147, 247}, {152, 252}, {153, 253}, {154, 254}, {155, 255}, {4, 104}, {5, 105}, {6, 106}, {7, 107}, {20, 120}, {21, 121}, {22, 122}, {23, 123}, {132, 232}, {133, 233}, {134, 234}, {135, 235}, {148, 248}, {149, 249}, {150, 250}, {151, 251}, {12, 112}, {13, 113}, {14, 114}, {15, 115}, {140, 240}, {141, 241}, {142, 242}, {143, 243}, {63, 64}, {191, 192}, {28, 128}, {93, 193}, {92, 192}, {63, 163}, {62, 162}, {61, 161}, {60, 160}, {29, 129}, {30, 130}, {31, 131}, {94, 194}, {95, 195}, {124, 224}, {125, 225}, {126, 226}, {127, 227}, {32, 132}, {59, 159}, {58, 158}, {57, 157}, {56, 156}, {33, 133}, {34, 134}, {35, 135}, {40, 140}, {41, 141}, {42, 142}, {43, 143}, {48, 148}, {49, 149}, {50, 150}, {51, 151}, {96, 196}, {97, 197}, {98, 198}, {99, 199}, {104, 204}, {105, 205}, {106, 206}, {107, 207}, {112, 212}, {113, 213}, {114, 214}, {115, 215}, {120, 220}, {121, 221}, {122, 222}, {123, 223}, {36, 136}, {55, 155}, {54, 154}, {53, 153}, {37, 137}, {38, 138}, {39, 139}, {52, 152}, {100, 200}, {101, 201}, {102, 202}, {103, 203}, {116, 216}, {117, 217}, {118, 218}, {119, 219}, {44, 144}, {45, 145}, {46, 146}, {47, 147}, {108, 208}, {109, 209}, {110, 210}, {111, 211}, {4, 207}, {16, 219}, {20, 223}, {32, 235}, {36, 239}, {48, 251}, {52, 255}, {1, 204}, {3, 206}, {17, 220}, {19, 222}, {33, 236}, {35, 238}, {49, 252}, {51, 254}, {2, 205}, {18, 221}, {34, 237}, {50, 253}, {5, 208}, {7, 210}, {13, 216}, {15, 218}, {37, 240}, {39, 242}, {45, 248}, {47, 250}, {6, 209}, {14, 217}, {38, 241}, {46, 249}, {8, 211}, {12, 215}, {40, 243}, {44, 247}, {9, 212}, {11, 214}, {41, 244}, {43, 246}, {10, 213}, {42, 245}, {64, 164}, {91, 191}, {90, 190}, {89, 189}, {88, 188}, {83, 183}, {82, 182}, {81, 181}, {80, 180}, {75, 175}, {74, 174}, {73, 173}, {72, 172}, {67, 167}, {66, 166}, {65, 165}, {68, 168}, {87, 187}, {86, 186}, {85, 185}, {84, 184}, {71, 171}, {70, 170}, {69, 169}, {21, 224}, {23, 226}, {29, 232}, {31, 234}, {22, 225}, {30, 233}, {24, 227}, {28, 231}, {76, 176}, {79, 179}, {78, 178}, {77, 177}, {25, 228}, {27, 230}, {26, 229}, {127, 128}, {1, 303}, {53, 256}, {63, 266}, {61, 264}, {55, 258}, {54, 257}, {62, 265}, {56, 259}, {60, 263}, {57, 260}, {59, 262}, {58, 261}, {64, 267}, {84, 287}, {80, 283}, {68, 271}, {96, 299}, {100, 303}, {65, 268}, {83, 286}, {81, 284}, {67, 270}, {97, 300}, {99, 302}, {66, 269}, {82, 285}, {98, 301}, {69, 272}, {79, 282}, {77, 280}, {71, 274}, {70, 273}, {78, 281}, {72, 275}, {76, 279}, {73, 276}, {75, 278}, {74, 277}, {85, 288}, {87, 290}, {93, 296}, {95, 298}, {86, 289}, {94, 297}, {88, 291}, {92, 295}, {89, 292}, {91, 294}, {90, 293}, {156, 256}, {191, 291}, {190, 290}, {189, 289}, {188, 288}, {157, 257}, {158, 258}, {159, 259}, {160, 260}, {187, 287}, {186, 286}, {185, 285}, {184, 284}, {161, 261}, {162, 262}, {163, 263}, {168, 268}, {169, 269}, {170, 270}, {171, 271}, {176, 276}, {177, 277}, {178, 278}, {179, 279}, {164, 264}, {183, 283}, {182, 282}, {181, 281}, {180, 280}, {165, 265}, {166, 266}, {167, 267}, {172, 272}, {173, 273}, {174, 274}, {175, 275}, {192, 292}, {203, 303}, {202, 302}, {201, 301}, {200, 300}, {195, 295}, {194, 294}, {193, 293}, {196, 296}, {199, 299}, {198, 298}, {197, 297}, {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: (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)
b: (2, 204)(3, 104)(5, 207)(6, 107)(8, 210)(9, 110)(11, 213)(12, 113)(14, 216)(15, 116)(17, 219)(18, 119)(20, 222)(21, 122)(23, 225)(24, 125)(26, 228)(27, 128)(29, 231)(30, 131)(32, 234)(33, 134)(35, 237)(36, 137)(38, 240)(39, 140)(41, 243)(42, 143)(44, 246)(45, 146)(47, 249)(48, 149)(50, 252)(51, 152)(53, 255)(54, 155)(56, 258)(57, 158)(59, 261)(60, 161)(62, 264)(63, 164)(65, 267)(66, 167)(68, 270)(69, 170)(71, 273)(72, 173)(74, 276)(75, 176)(77, 279)(78, 179)(80, 282)(81, 182)(83, 285)(84, 185)(86, 288)(87, 188)(89, 291)(90, 191)(92, 294)(93, 194)(95, 297)(96, 197)(98, 300)(99, 200)(101, 303)(102, 203)(105, 206)(108, 209)(111, 212)(114, 215)(117, 218)(120, 221)(123, 224)(126, 227)(129, 230)(132, 233)(135, 236)(138, 239)(141, 242)(144, 245)(147, 248)(150, 251)(153, 254)(156, 257)(159, 260)(162, 263)(165, 266)(168, 269)(171, 272)(174, 275)(177, 278)(180, 281)(183, 284)(186, 287)(189, 290)(192, 293)(195, 296)(198, 299)(201, 302)
c: (2, 101)(3, 201)(4, 301)(5, 98)(6, 198)(7, 298)(8, 95)(9, 195)(10, 295)(11, 92)(12, 192)(13, 292)(14, 89)(15, 189)(16, 289)(17, 86)(18, 186)(19, 286)(20, 83)(21, 183)(22, 283)(23, 80)(24, 180)(25, 280)(26, 77)(27, 177)(28, 277)(29, 74)(30, 174)(31, 274)(32, 71)(33, 171)(34, 271)(35, 68)(36, 168)(37, 268)(38, 65)(39, 165)(40, 265)(41, 62)(42, 162)(43, 262)(44, 59)(45, 159)(46, 259)(47, 56)(48, 156)(49, 256)(50, 53)(51, 153)(52, 253)(54, 150)(55, 250)(57, 147)(58, 247)(60, 144)(61, 244)(63, 141)(64, 241)(66, 138)(67, 238)(69, 135)(70, 235)(72, 132)(73, 232)(75, 129)(76, 229)(78, 126)(79, 226)(81, 123)(82, 223)(84, 120)(85, 220)(87, 117)(88, 217)(90, 114)(91, 214)(93, 111)(94, 211)(96, 108)(97, 208)(99, 105)(100, 205)(103, 202)(104, 302)(106, 199)(107, 299)(109, 196)(110, 296)(112, 193)(113, 293)(115, 190)(116, 290)(118, 187)(119, 287)(121, 184)(122, 284)(124, 181)(125, 281)(127, 178)(128, 278)(130, 175)(131, 275)(133, 172)(134, 272)(136, 169)(137, 269)(139, 166)(140, 266)(142, 163)(143, 263)(145, 160)(146, 260)(148, 157)(149, 257)(151, 154)(152, 254)(155, 251)(158, 248)(161, 245)(164, 242)(167, 239)(170, 236)(173, 233)(176, 230)(179, 227)(182, 224)(185, 221)(188, 218)(191, 215)(194, 212)(197, 209)(200, 206)(204, 303)(207, 300)(210, 297)(213, 294)(216, 291)(219, 288)(222, 285)(225, 282)(228, 279)(231, 276)(234, 273)(237, 270)(240, 267)(243, 264)(246, 261)(249, 258)(252, 255)

(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.

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&Graph
C4[ 303, 1 ]
303
-1 2 101 204 303
-2 1 3 102 205
-3 2 4 103 206
-4 3 5 104 207
-5 4 6 105 208
-6 209 5 7 106
-7 210 6 8 107
-8 211 7 9 108
-9 212 8 10 109
-10 11 110 213 9
-11 12 111 214 10
-12 11 13 112 215
-13 12 14 113 216
-14 13 15 114 217
-15 14 16 115 218
-16 15 17 116 219
-17 220 16 18 117
-18 221 17 19 118
-19 222 18 20 119
-20 223 19 21 120
-21 22 121 224 20
-22 23 122 225 21
-23 22 24 123 226
-24 23 25 124 227
-25 24 26 125 228
-26 25 27 126 229
-27 26 28 127 230
-28 231 27 29 128
-29 232 28 30 129
-30 233 29 31 130
-31 234 30 32 131
-32 33 132 235 31
-33 34 133 236 32
-34 33 35 134 237
-35 34 36 135 238
-36 35 37 136 239
-37 36 38 137 240
-38 37 39 138 241
-39 242 38 40 139
-40 243 39 41 140
-41 244 40 42 141
-42 245 41 43 142
-43 44 143 246 42
-44 45 144 247 43
-45 44 46 145 248
-46 45 47 146 249
-47 46 48 147 250
-48 47 49 148 251
-49 48 50 149 252
-50 253 49 51 150
-51 254 50 52 151
-52 255 51 53 152
-53 256 52 54 153
-54 55 154 257 53
-55 56 155 258 54
-56 55 57 156 259
-57 56 58 157 260
-58 57 59 158 261
-59 58 60 159 262
-60 59 61 160 263
-61 264 60 62 161
-62 265 61 63 162
-63 266 62 64 163
-64 267 63 65 164
-65 66 165 268 64
-66 67 166 269 65
-67 66 68 167 270
-68 67 69 168 271
-69 68 70 169 272
-70 69 71 170 273
-71 70 72 171 274
-72 275 71 73 172
-73 276 72 74 173
-74 277 73 75 174
-75 278 74 76 175
-76 77 176 279 75
-77 78 177 280 76
-78 77 79 178 281
-79 78 80 179 282
-80 79 81 180 283
-81 80 82 181 284
-82 81 83 182 285
-83 286 82 84 183
-84 287 83 85 184
-85 288 84 86 185
-86 289 85 87 186
-87 88 187 290 86
-88 89 188 291 87
-89 88 90 189 292
-90 89 91 190 293
-91 90 92 191 294
-92 91 93 192 295
-93 92 94 193 296
-94 297 93 95 194
-95 298 94 96 195
-96 299 95 97 196
-97 300 96 98 197
-98 99 198 301 97
-99 100 199 302 98
-100 99 101 200 303
-101 1 100 102 201
-102 2 101 103 202
-103 3 102 104 203
-104 4 103 105 204
-105 5 104 106 205
-106 6 105 107 206
-107 7 106 108 207
-108 8 107 109 208
-109 110 209 9 108
-110 111 210 10 109
-111 11 110 112 211
-112 12 111 113 212
-113 13 112 114 213
-114 14 113 115 214
-115 15 114 116 215
-116 16 115 117 216
-117 17 116 118 217
-118 18 117 119 218
-119 19 118 120 219
-120 121 220 20 119
-121 122 221 21 120
-122 22 121 123 222
-123 23 122 124 223
-124 24 123 125 224
-125 25 124 126 225
-126 26 125 127 226
-127 27 126 128 227
-128 28 127 129 228
-129 29 128 130 229
-130 30 129 131 230
-131 132 231 31 130
-132 133 232 32 131
-133 33 132 134 233
-134 34 133 135 234
-135 35 134 136 235
-136 36 135 137 236
-137 37 136 138 237
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-139 39 138 140 239
-140 40 139 141 240
-141 41 140 142 241
-142 143 242 42 141
-143 144 243 43 142
-144 44 143 145 244
-145 45 144 146 245
-146 46 145 147 246
-147 47 146 148 247
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-149 49 148 150 249
-150 50 149 151 250
-151 51 150 152 251
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-154 155 254 54 153
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-156 56 155 157 256
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-160 60 159 161 260
-161 61 160 162 261
-162 62 161 163 262
-163 63 162 164 263
-164 165 264 64 163
-165 166 265 65 164
-166 66 165 167 266
-167 67 166 168 267
-168 68 167 169 268
-169 69 168 170 269
-170 70 169 171 270
-171 71 170 172 271
-172 72 171 173 272
-173 73 172 174 273
-174 74 173 175 274
-175 176 275 75 174
-176 177 276 76 175
-177 77 176 178 277
-178 78 177 179 278
-179 79 178 180 279
-180 80 179 181 280
-181 81 180 182 281
-182 82 181 183 282
-183 83 182 184 283
-184 84 183 185 284
-185 85 184 186 285
-186 187 286 86 185
-187 188 287 87 186
-188 88 187 189 288
-189 89 188 190 289
-190 90 189 191 290
-191 91 190 192 291
-192 92 191 193 292
-193 93 192 194 293
-194 94 193 195 294
-195 95 194 196 295
-196 96 195 197 296
-197 198 297 97 196
-198 199 298 98 197
-199 99 198 200 299
-200 100 199 201 300
-201 101 200 202 301
-202 102 201 203 302
-203 103 202 204 303
-204 1 104 203 205
-205 2 105 204 206
-206 3 106 205 207
-207 4 107 206 208
-208 209 5 108 207
-209 210 6 109 208
-210 110 209 211 7
-211 111 210 212 8
-212 112 211 213 9
-213 113 212 214 10
-214 11 114 213 215
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-216 13 116 215 217
-217 14 117 216 218
-218 15 118 217 219
-219 220 16 119 218
-220 221 17 120 219
-221 121 220 222 18
-222 122 221 223 19
-223 123 222 224 20
-224 124 223 225 21
-225 22 125 224 226
-226 23 126 225 227
-227 24 127 226 228
-228 25 128 227 229
-229 26 129 228 230
-230 231 27 130 229
-231 232 28 131 230
-232 132 231 233 29
-233 133 232 234 30
-234 134 233 235 31
-235 135 234 236 32
-236 33 136 235 237
-237 34 137 236 238
-238 35 138 237 239
-239 36 139 238 240
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-241 242 38 141 240
-242 243 39 142 241
-243 143 242 244 40
-244 144 243 245 41
-245 145 244 246 42
-246 146 245 247 43
-247 44 147 246 248
-248 45 148 247 249
-249 46 149 248 250
-250 47 150 249 251
-251 48 151 250 252
-252 253 49 152 251
-253 254 50 153 252
-254 154 253 255 51
-255 155 254 256 52
-256 156 255 257 53
-257 157 256 258 54
-258 55 158 257 259
-259 56 159 258 260
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-266 166 265 267 63
-267 167 266 268 64
-268 168 267 269 65
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-289 189 288 290 86
-290 190 289 291 87
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-297 298 94 197 296
-298 198 297 299 95
-299 199 298 300 96
-300 200 299 301 97
-301 201 300 302 98
-302 99 202 301 303
-303 1 100 203 302
0

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