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