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