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