| Name | GraphColoring/ GraphColoring-3-fullins-5_c18.xml |
| MD5SUM | 51dc9de19dcdd21b605810f9d7307a76 |
| Bench Category | COP (optimization problem) |
| Best result obtained on this benchmark | OPT |
| Best value of the objective obtained on this benchmark | 7 |
| Best CPU time to get the best result obtained on this benchmark | 9358.44 |
| Satisfiable | |
| (Un)Satisfiability was proved | |
| Number of variables | 2030 |
| Number of constraints | 33751 |
| Number of domains | 1 |
| Minimum domain size | 2030 |
| Maximum domain size | 2030 |
| Distribution of domain sizes | [{"size":2030,"count":2030}] |
| Minimum variable degree | 9 |
| Maximum variable degree | 410 |
| Distribution of variable degrees | [{"degree":9,"count":4},{"degree":10,"count":14},{"degree":11,"count":12},{"degree":12,"count":36},{"degree":13,"count":23},{"degree":14,"count":54},{"degree":15,"count":22},{"degree":16,"count":66},{"degree":17,"count":41},{"degree":18,"count":123},{"degree":19,"count":41},{"degree":20,"count":123},{"degree":21,"count":19},{"degree":22,"count":57},{"degree":23,"count":42},{"degree":24,"count":131},{"degree":25,"count":8},{"degree":26,"count":24},{"degree":27,"count":29},{"degree":28,"count":87},{"degree":29,"count":44},{"degree":30,"count":132},{"degree":31,"count":87},{"degree":32,"count":261},{"degree":33,"count":5},{"degree":34,"count":15},{"degree":35,"count":15},{"degree":36,"count":45},{"degree":41,"count":5},{"degree":42,"count":15},{"degree":43,"count":5},{"degree":44,"count":15},{"degree":49,"count":5},{"degree":50,"count":15},{"degree":51,"count":15},{"degree":52,"count":45},{"degree":53,"count":15},{"degree":54,"count":45},{"degree":55,"count":45},{"degree":56,"count":135},{"degree":77,"count":5},{"degree":78,"count":15},{"degree":79,"count":15},{"degree":80,"count":45},{"degree":87,"count":5},{"degree":169,"count":5},{"degree":170,"count":15},{"degree":410,"count":5}] |
| Minimum constraint arity | 2 |
| Maximum constraint arity | 2 |
| Distribution of constraint arities | [{"arity":2,"count":33751}] |
| Number of extensional constraints | 0 |
| Number of intensional constraints | 33751 |
| Distribution of constraint types | [{"type":"intension","count":33751}] |
| Optimization problem | YES |
| Type of objective | min MAXIMUM |
| Solver Name | TraceID | Answer | objective function | CPU time | Wall clock time |
|---|---|---|---|---|---|
| Choco-solver 4.0.7b par (e747e1e) (complete) | 4297383 | OPT | 7 | 9358.44 | 1180.39 |
| OscaR - Parallel with EPS 2018-08-14 (complete) | 4308739 | SAT (TO) | 1988 | 19670.6 | 2520.8 |
| OscaR - Parallel with EPS 2018-07-02 (complete) | 4290970 | SAT (TO) | 1990 | 19189.9 | 2520.5 |
This section presents information obtained from the best job displayed in the list (i.e. solvers whose names are not hidden).
objective function: 7<instantiation> <list>x[0] x[1] x[2] x[3] x[4] x[5] x[6] x[7] x[8] x[9] x[10] x[11] x[12] x[13] x[14] x[15] x[16] x[17] x[18] x[19] x[20] x[21] x[22] x[23] x[24] x[25] x[26] x[27] x[28] x[29] x[30] x[31] x[32] x[33] x[34] x[35] x[36] x[37] x[38] x[39] x[40] x[41] x[42] x[43] x[44] x[45] x[46] x[47] x[48] x[49] x[50] x[51] x[52] x[53] x[54] x[55] x[56] x[57] x[58] x[59] x[60] x[61] x[62] x[63] x[64] x[65] x[66] x[67] x[68] x[69] x[70] x[71] x[72] x[73] x[74] x[75] x[76] x[77] x[78] x[79] x[80] x[81] x[82] x[83] x[84] x[85] x[86] x[87] x[88] x[89] x[90] x[91] x[92] x[93] x[94] x[95] x[96] x[97] x[98] x[99] x[100] x[101] x[102] x[103] x[104] x[105] x[106] x[107] x[108] x[109] x[110] x[111] x[112] x[113] x[114] x[115] x[116] x[117] x[118] x[119] x[120] x[121] x[122] x[123] x[124] x[125] x[126] x[127] x[128] x[129] x[130] x[131] x[132] x[133] x[134] x[135] x[136] x[137] x[138] x[139] x[140] x[141] x[142] x[143] x[144] x[145] x[146] x[147] x[148] x[149] x[150] x[151] x[152] x[153] x[154] x[155] x[156] x[157] x[158] x[159] x[160] x[161] x[162] x[163] x[164] x[165] x[166] x[167] x[168] x[169] x[170] x[171] x[172] x[173] x[174] x[175] x[176] x[177] x[178] x[179] x[180] x[181] x[182] x[183] x[184] x[185] x[186] x[187] x[188] x[189] x[190] x[191] x[192] x[193] x[194] x[195] x[196] x[197] x[198] x[199] x[200] x[201] x[202] x[203] x[204] x[205] x[206] x[207] x[208] x[209] x[210] x[211] x[212] x[213] x[214] x[215] x[216] x[217] x[218] x[219] x[220] x[221] x[222] x[223] x[224] x[225] x[226] x[227] x[228] x[229] x[230] x[231] x[232] x[233] x[234] x[235] x[236] x[237] x[238] x[239] x[240] x[241] x[242] x[243] x[244] x[245] x[246] x[247] x[248] x[249] x[250] x[251] x[252] x[253] x[254] x[255] x[256] x[257] x[258] x[259] x[260] x[261] x[262] x[263] x[264] x[265] x[266] x[267] x[268] x[269] x[270] x[271] x[272] x[273] x[274] x[275] x[276] x[277] x[278] x[279] x[280] x[281] x[282] x[283] x[284] x[285] x[286] x[287] x[288] x[289] x[290] x[291] x[292] x[293] x[294] x[295] x[296] x[297] x[298] x[299] x[300] x[301] x[302] x[303] x[304] x[305] x[306] x[307] x[308] x[309] x[310] x[311] x[312] x[313] x[314] x[315] x[316] x[317] x[318] x[319] x[320] x[321] x[322] x[323] x[324] x[325] x[326] x[327] x[328] x[329] x[330] x[331] x[332] x[333] x[334] x[335] x[336] x[337] x[338] x[339] x[340] x[341] x[342] x[343] x[344] x[345] x[346] x[347] x[348] x[349] x[350] x[351] x[352] x[353] x[354] x[355] x[356] x[357] x[358] x[359] x[360] x[361] x[362] x[363] x[364] x[365] x[366] x[367] x[368] x[369] x[370] x[371] x[372] x[373] x[374] x[375] x[376] x[377] x[378] x[379] x[380] x[381] x[382] x[383] x[384] x[385] x[386] x[387] x[388] x[389] x[390] x[391] x[392] x[393] x[394] x[395] x[396] x[397] x[398] x[399] x[400] x[401] x[402] x[403] x[404] x[405] x[406] x[407] x[408] x[409] x[410] x[411] x[412] x[413] x[414] x[415] x[416] x[417] x[418] x[419] x[420] x[421] x[422] x[423] x[424] x[425] x[426] x[427] x[428] x[429] x[430] x[431] x[432] x[433] x[434] x[435] x[436] x[437] 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x[724] x[725] x[726] x[727] x[728] x[729] x[730] x[731] x[732] x[733] x[734] x[735] x[736] x[737] x[738] x[739] x[740] x[741] x[742] x[743] x[744] x[745] x[746] x[747] x[748] x[749] x[750] x[751] x[752] x[753] x[754] x[755] x[756] x[757] x[758] x[759] x[760] x[761] x[762] x[763] x[764] x[765] x[766] x[767] x[768] x[769] x[770] x[771] x[772] x[773] x[774] x[775] x[776] x[777] x[778] x[779] x[780] x[781] x[782] x[783] x[784] x[785] x[786] x[787] x[788] x[789] x[790] x[791] x[792] x[793] x[794] x[795] x[796] x[797] x[798] x[799] x[800] x[801] x[802] x[803] x[804] x[805] x[806] x[807] x[808] x[809] x[810] x[811] x[812] x[813] x[814] x[815] x[816] x[817] x[818] x[819] x[820] x[821] x[822] x[823] x[824] x[825] x[826] x[827] x[828] x[829] x[830] x[831] x[832] x[833] x[834] x[835] x[836] x[837] x[838] x[839] x[840] x[841] x[842] x[843] x[844] x[845] x[846] x[847] x[848] x[849] x[850] x[851] x[852] x[853] x[854] x[855] x[856] x[857] x[858] x[859] x[860] x[861] x[862] x[863] x[864] x[865] x[866] x[867] x[868] x[869] x[870] x[871] x[872] x[873] x[874] x[875] x[876] x[877] x[878] x[879] x[880] x[881] x[882] x[883] x[884] x[885] x[886] x[887] x[888] x[889] x[890] x[891] x[892] x[893] x[894] x[895] x[896] x[897] x[898] x[899] x[900] x[901] x[902] x[903] x[904] x[905] x[906] x[907] x[908] x[909] x[910] x[911] x[912] x[913] x[914] x[915] x[916] x[917] x[918] x[919] x[920] x[921] x[922] x[923] x[924] x[925] x[926] x[927] x[928] x[929] x[930] x[931] x[932] x[933] x[934] x[935] x[936] x[937] x[938] x[939] x[940] x[941] x[942] x[943] x[944] x[945] x[946] x[947] x[948] x[949] x[950] x[951] x[952] x[953] x[954] x[955] x[956] x[957] x[958] x[959] x[960] x[961] x[962] x[963] x[964] x[965] x[966] x[967] x[968] x[969] x[970] x[971] x[972] x[973] x[974] x[975] x[976] x[977] x[978] x[979] x[980] x[981] x[982] x[983] x[984] x[985] x[986] x[987] x[988] x[989] x[990] x[991] x[992] x[993] x[994] x[995] x[996] x[997] x[998] x[999] x[1000] x[1001] x[1002] x[1003] x[1004] x[1005] x[1006] x[1007] x[1008] x[1009] x[1010] x[1011] x[1012] x[1013] x[1014] x[1015] x[1016] x[1017] x[1018] x[1019] x[1020] x[1021] x[1022] x[1023] x[1024] x[1025] x[1026] x[1027] x[1028] x[1029] x[1030] x[1031] x[1032] x[1033] x[1034] x[1035] x[1036] x[1037] x[1038] x[1039] x[1040] x[1041] x[1042] x[1043] x[1044] x[1045] x[1046] x[1047] x[1048] x[1049] x[1050] x[1051] x[1052] x[1053] x[1054] x[1055] x[1056] x[1057] x[1058] x[1059] x[1060] x[1061] x[1062] x[1063] x[1064] x[1065] x[1066] x[1067] x[1068] x[1069] x[1070] x[1071] x[1072] x[1073] x[1074] x[1075] x[1076] x[1077] x[1078] x[1079] x[1080] x[1081] x[1082] x[1083] x[1084] x[1085] x[1086] x[1087] x[1088] x[1089] x[1090] x[1091] x[1092] x[1093] x[1094] x[1095] x[1096] x[1097] x[1098] x[1099] x[1100] x[1101] x[1102] x[1103] x[1104] x[1105] x[1106] x[1107] x[1108] x[1109] x[1110] x[1111] x[1112] x[1113] x[1114] x[1115] x[1116] x[1117] x[1118] x[1119] x[1120] x[1121] x[1122] x[1123] x[1124] x[1125] x[1126] x[1127] x[1128] x[1129] x[1130] x[1131] x[1132] 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x[1258] x[1259] x[1260] x[1261] x[1262] x[1263] x[1264] x[1265] x[1266] x[1267] x[1268] x[1269] x[1270] x[1271] x[1272] x[1273] x[1274] x[1275] x[1276] x[1277] x[1278] x[1279] x[1280] x[1281] x[1282] x[1283] x[1284] x[1285] x[1286] x[1287] x[1288] x[1289] x[1290] x[1291] x[1292] x[1293] x[1294] x[1295] x[1296] x[1297] x[1298] x[1299] x[1300] x[1301] x[1302] x[1303] x[1304] x[1305] x[1306] x[1307] x[1308] x[1309] x[1310] x[1311] x[1312] x[1313] x[1314] x[1315] x[1316] x[1317] x[1318] x[1319] x[1320] x[1321] x[1322] x[1323] x[1324] x[1325] x[1326] x[1327] x[1328] x[1329] x[1330] x[1331] x[1332] x[1333] x[1334] x[1335] x[1336] x[1337] x[1338] x[1339] x[1340] x[1341] x[1342] x[1343] x[1344] x[1345] x[1346] x[1347] x[1348] x[1349] x[1350] x[1351] x[1352] x[1353] x[1354] x[1355] x[1356] x[1357] x[1358] x[1359] x[1360] x[1361] x[1362] x[1363] x[1364] x[1365] x[1366] x[1367] x[1368] x[1369] x[1370] x[1371] x[1372] x[1373] x[1374] x[1375] x[1376] x[1377] x[1378] x[1379] x[1380] x[1381] x[1382] x[1383] x[1384] x[1385] x[1386] x[1387] x[1388] x[1389] x[1390] x[1391] x[1392] x[1393] x[1394] x[1395] x[1396] x[1397] x[1398] x[1399] x[1400] x[1401] x[1402] x[1403] x[1404] x[1405] x[1406] x[1407] x[1408] x[1409] x[1410] x[1411] x[1412] x[1413] x[1414] x[1415] x[1416] x[1417] x[1418] x[1419] x[1420] x[1421] x[1422] x[1423] x[1424] x[1425] x[1426] x[1427] x[1428] x[1429] x[1430] x[1431] x[1432] x[1433] x[1434] x[1435] x[1436] x[1437] x[1438] x[1439] x[1440] x[1441] x[1442] x[1443] x[1444] x[1445] x[1446] x[1447] x[1448] x[1449] x[1450] x[1451] x[1452] x[1453] x[1454] x[1455] x[1456] x[1457] x[1458] x[1459] x[1460] x[1461] x[1462] x[1463] x[1464] x[1465] x[1466] x[1467] x[1468] x[1469] x[1470] x[1471] x[1472] x[1473] x[1474] x[1475] x[1476] x[1477] x[1478] x[1479] x[1480] x[1481] x[1482] x[1483] x[1484] x[1485] x[1486] x[1487] x[1488] x[1489] x[1490] x[1491] x[1492] x[1493] x[1494] x[1495] x[1496] x[1497] x[1498] x[1499] x[1500] x[1501] x[1502] x[1503] x[1504] x[1505] x[1506] x[1507] x[1508] x[1509] x[1510] x[1511] x[1512] x[1513] x[1514] x[1515] x[1516] x[1517] x[1518] x[1519] x[1520] x[1521] x[1522] x[1523] x[1524] x[1525] x[1526] x[1527] x[1528] x[1529] x[1530] x[1531] x[1532] x[1533] x[1534] x[1535] x[1536] x[1537] x[1538] x[1539] x[1540] x[1541] x[1542] x[1543] x[1544] x[1545] x[1546] x[1547] x[1548] x[1549] x[1550] x[1551] x[1552] x[1553] x[1554] x[1555] x[1556] x[1557] x[1558] x[1559] x[1560] x[1561] x[1562] x[1563] x[1564] x[1565] x[1566] x[1567] x[1568] x[1569] x[1570] x[1571] x[1572] x[1573] x[1574] x[1575] x[1576] x[1577] x[1578] x[1579] x[1580] x[1581] x[1582] x[1583] x[1584] x[1585] x[1586] x[1587] x[1588] x[1589] x[1590] x[1591] x[1592] x[1593] x[1594] x[1595] x[1596] x[1597] x[1598] x[1599] x[1600] x[1601] x[1602] x[1603] x[1604] x[1605] x[1606] x[1607] x[1608] x[1609] x[1610] x[1611] x[1612] x[1613] x[1614] x[1615] x[1616] x[1617] x[1618] x[1619] x[1620] x[1621] x[1622] x[1623] x[1624] x[1625] x[1626] x[1627] x[1628] x[1629] x[1630] x[1631] x[1632] x[1633] x[1634] x[1635] x[1636] x[1637] x[1638] x[1639] x[1640] x[1641] x[1642] x[1643] x[1644] x[1645] x[1646] x[1647] x[1648] x[1649] x[1650] x[1651] x[1652] x[1653] x[1654] x[1655] x[1656] x[1657] x[1658] x[1659] x[1660] x[1661] x[1662] x[1663] x[1664] x[1665] x[1666] x[1667] x[1668] x[1669] x[1670] x[1671] x[1672] x[1673] x[1674] x[1675] x[1676] x[1677] x[1678] x[1679] x[1680] x[1681] x[1682] x[1683] x[1684] x[1685] x[1686] x[1687] x[1688] x[1689] x[1690] x[1691] x[1692] x[1693] x[1694] x[1695] x[1696] x[1697] x[1698] x[1699] x[1700] x[1701] x[1702] x[1703] x[1704] x[1705] x[1706] x[1707] x[1708] x[1709] x[1710] x[1711] x[1712] x[1713] x[1714] x[1715] x[1716] x[1717] x[1718] x[1719] x[1720] x[1721] x[1722] x[1723] x[1724] x[1725] x[1726] x[1727] x[1728] x[1729] x[1730] x[1731] x[1732] x[1733] x[1734] x[1735] x[1736] x[1737] x[1738] x[1739] x[1740] x[1741] x[1742] x[1743] x[1744] x[1745] x[1746] x[1747] x[1748] x[1749] x[1750] x[1751] x[1752] x[1753] x[1754] x[1755] x[1756] x[1757] x[1758] x[1759] x[1760] x[1761] x[1762] x[1763] x[1764] x[1765] x[1766] x[1767] x[1768] x[1769] x[1770] x[1771] x[1772] x[1773] x[1774] x[1775] x[1776] x[1777] x[1778] x[1779] x[1780] x[1781] x[1782] x[1783] x[1784] x[1785] x[1786] x[1787] x[1788] x[1789] x[1790] x[1791] x[1792] x[1793] x[1794] x[1795] x[1796] x[1797] x[1798] x[1799] x[1800] x[1801] x[1802] x[1803] x[1804] x[1805] x[1806] x[1807] x[1808] x[1809] x[1810] x[1811] x[1812] x[1813] x[1814] x[1815] x[1816] x[1817] x[1818] x[1819] x[1820] x[1821] x[1822] x[1823] x[1824] x[1825] x[1826] x[1827] x[1828] x[1829] x[1830] x[1831] x[1832] x[1833] x[1834] x[1835] x[1836] x[1837] x[1838] x[1839] x[1840] x[1841] x[1842] x[1843] x[1844] x[1845] x[1846] x[1847] x[1848] x[1849] x[1850] x[1851] x[1852] x[1853] x[1854] x[1855] x[1856] x[1857] x[1858] x[1859] x[1860] x[1861] x[1862] x[1863] x[1864] x[1865] x[1866] x[1867] x[1868] x[1869] x[1870] x[1871] x[1872] x[1873] x[1874] x[1875] x[1876] x[1877] x[1878] x[1879] x[1880] x[1881] x[1882] x[1883] x[1884] x[1885] x[1886] x[1887] x[1888] x[1889] x[1890] x[1891] x[1892] x[1893] x[1894] x[1895] x[1896] x[1897] x[1898] x[1899] x[1900] x[1901] x[1902] x[1903] x[1904] x[1905] x[1906] x[1907] x[1908] x[1909] x[1910] x[1911] x[1912] x[1913] x[1914] x[1915] x[1916] x[1917] x[1918] x[1919] x[1920] x[1921] x[1922] x[1923] x[1924] x[1925] x[1926] x[1927] x[1928] x[1929] x[1930] x[1931] x[1932] x[1933] x[1934] x[1935] x[1936] x[1937] x[1938] x[1939] x[1940] x[1941] x[1942] x[1943] x[1944] x[1945] x[1946] x[1947] x[1948] x[1949] x[1950] x[1951] x[1952] x[1953] x[1954] x[1955] x[1956] x[1957] x[1958] x[1959] x[1960] x[1961] x[1962] x[1963] x[1964] x[1965] x[1966] x[1967] x[1968] x[1969] x[1970] x[1971] x[1972] x[1973] x[1974] x[1975] x[1976] x[1977] x[1978] x[1979] x[1980] x[1981] x[1982] x[1983] x[1984] x[1985] x[1986] x[1987] x[1988] x[1989] x[1990] x[1991] x[1992] x[1993] x[1994] x[1995] x[1996] x[1997] x[1998] x[1999] x[2000] x[2001] x[2002] x[2003] x[2004] x[2005] x[2006] x[2007] x[2008] x[2009] x[2010] x[2011] x[2012] x[2013] x[2014] x[2015] x[2016] x[2017] x[2018] x[2019] x[2020] x[2021] x[2022] x[2023] x[2024] x[2025] x[2026] x[2027] x[2028] x[2029] </list> <values>0 1 0 1 0 1 0 1 0 1 2 3 4 5 6 0 1 0 1 0 1 0 1 0 1 2 3 4 5 6 0 1 0 1 0 1 0 1 0 1 2 7 4 5 6 0 1 0 1 0 1 0 1 0 1 2 3 3 3 3 0 1 0 1 0 1 0 1 0 1 2 4 4 4 4 5 7 3 4 6 0 2 0 2 0 2 0 2 0 3 2 3 4 5 6 0 2 0 2 0 2 0 2 0 3 2 3 4 5 6 0 2 0 2 0 2 0 2 0 4 2 7 4 5 6 0 2 0 2 0 2 0 2 0 3 2 3 3 3 3 0 2 0 2 0 2 0 2 0 4 2 4 4 4 4 5 7 3 4 6 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 2 1 3 4 5 3 1 4 1 3 1 4 1 3 1 2 3 4 5 6 3 1 4 1 3 1 6 1 3 1 2 3 4 5 6 4 1 4 1 5 1 4 1 4 1 2 7 4 5 6 3 1 3 1 3 1 3 1 3 1 2 3 3 3 3 3 1 4 1 4 1 4 1 4 1 2 4 4 4 4 5 7 3 4 6 2 2 2 2 2 2 2 2 3 3 2 3 4 5 6 2 2 2 2 2 2 2 2 3 3 2 3 4 5 6 2 2 2 2 2 2 2 2 4 4 2 7 4 5 6 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 2 2 2 2 2 2 2 2 4 4 2 4 4 4 4 5 7 3 4 6 4 1 4 1 1 1 1 1 1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 3 4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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