\ The 8x8 multihedral pentomino example. Maximize Subject to x25 + x97 + x193 + x217 + x241 + x287 + x310 + x356 + x379 + x402 + x425 + x471 + x540 + x586 + x609 + x640 + x702 + x733 + x764 + x795 + x857 + x881 + x953 + x983 + x1013 + x1043 + x1073 + x1121 + x1145 + x1169 + x1217 + x1335 + x1358 + x1427 + x1450 + x1473 + x1545 = 1 x1 + x26 + x49 + x73 + x97 + x98 + x121 + x145 + x194 + x217 + x218 + x242 + x287 + x288 + x310 + x311 + x333 + x356 + x357 + x379 + x380 + x403 + x425 + x426 + x448 + x471 + x472 + x494 + x541 + x563 + x587 + x609 + x610 + x640 + x641 + x671 + x702 + x703 + x733 + x734 + x764 + x765 + x796 + x826 + x857 + x858 + x882 + x905 + x954 + x983 + x984 + x1013 + x1014 + x1043 + x1044 + x1074 + x1121 + x1122 + x1145 + x1146 + x1170 + x1217 + x1218 + x1241 + x1265 + x1312 + x1335 + x1336 + x1359 + x1381 + x1404 + x1427 + x1428 + x1451 + x1473 + x1474 + x1521 + x1546 = 1 x1 + x2 + x27 + x50 + x74 + x98 + x99 + x122 + x146 + x169 + x195 + x217 + x218 + x219 + x288 + x310 + x311 + x312 + x334 + x356 + x357 + x358 + x380 + x381 + x404 + x426 + x427 + x449 + x471 + x472 + x473 + x495 + x517 + x563 + x564 + x610 + x611 + x641 + x642 + x672 + x702 + x703 + x704 + x734 + x735 + x764 + x765 + x766 + x797 + x826 + x827 + x857 + x858 + x859 + x883 + x906 + x929 + x953 + x955 + x984 + x985 + x1013 + x1014 + x1015 + x1044 + x1045 + x1075 + x1097 + x1121 + x1122 + x1123 + x1145 + x1146 + x1147 + x1171 + x1193 + x1218 + x1219 + x1241 + x1242 + x1266 + x1289 + x1313 + x1335 + x1336 + x1337 + x1360 + x1382 + x1405 + x1427 + x1428 + x1429 + x1452 + x1474 + x1475 + x1497 + x1521 + x1522 + x1547 = 1 x2 + x3 + x28 + x51 + x75 + x99 + x100 + x123 + x147 + x170 + x217 + x218 + x219 + x220 + x264 + x310 + x311 + x312 + x313 + x356 + x357 + x358 + x359 + x381 + x405 + x427 + x428 + x450 + x472 + x473 + x474 + x496 + x517 + x518 + x563 + x564 + x565 + x611 + x612 + x642 + x643 + x673 + x703 + x704 + x705 + x735 + x736 + x765 + x766 + x767 + x798 + x827 + x828 + x858 + x859 + x860 + x884 + x907 + x930 + x954 + x956 + x985 + x986 + x1014 + x1015 + x1016 + x1045 + x1046 + x1076 + x1098 + x1122 + x1123 + x1124 + x1146 + x1147 + x1148 + x1172 + x1194 + x1219 + x1220 + x1242 + x1243 + x1267 + x1290 + x1335 + x1336 + x1337 + x1338 + x1383 + x1427 + x1428 + x1429 + x1430 + x1475 + x1476 + x1498 + x1522 + x1523 + x1548 = 1 x3 + x4 + x29 + x52 + x76 + x100 + x101 + x124 + x148 + x171 + x217 + x218 + x219 + x220 + x265 + x289 + x311 + x312 + x313 + x314 + x357 + x358 + x359 + x360 + x406 + x428 + x429 + x473 + x474 + x475 + x518 + x519 + x542 + x564 + x565 + x566 + x588 + x612 + x613 + x643 + x644 + x674 + x704 + x705 + x706 + x736 + x737 + x766 + x767 + x768 + x799 + x828 + x829 + x859 + x860 + x861 + x885 + x908 + x931 + x955 + x957 + x986 + x987 + x1015 + x1016 + x1017 + x1046 + x1047 + x1077 + x1099 + x1123 + x1124 + x1125 + x1147 + x1148 + x1149 + x1173 + x1195 + x1220 + x1221 + x1243 + x1244 + x1268 + x1291 + x1336 + x1337 + x1338 + x1339 + x1384 + x1428 + x1429 + x1430 + x1431 + x1476 + x1477 + x1499 + x1523 + x1524 + x1549 = 1 x4 + x5 + x30 + x53 + x77 + x101 + x102 + x125 + x149 + x172 + x196 + x218 + x219 + x220 + x243 + x266 + x289 + x290 + x312 + x313 + x314 + x358 + x359 + x360 + x382 + x429 + x474 + x475 + x519 + x520 + x543 + x565 + x566 + x567 + x589 + x613 + x614 + x644 + x645 + x675 + x705 + x706 + x707 + x737 + x738 + x767 + x768 + x769 + x800 + x829 + x830 + x860 + x861 + x862 + x886 + x909 + x932 + x956 + x958 + x987 + x988 + x1016 + x1017 + x1018 + x1047 + x1048 + x1078 + x1100 + x1124 + x1125 + x1126 + x1148 + x1149 + x1150 + x1174 + x1196 + x1221 + x1222 + x1244 + x1245 + x1269 + x1292 + x1314 + x1337 + x1338 + x1339 + x1361 + x1385 + x1406 + x1429 + x1430 + x1431 + x1453 + x1477 + x1478 + x1500 + x1524 + x1525 + x1550 = 1 x5 + x6 + x54 + x78 + x102 + x126 + x150 + x173 + x197 + x219 + x220 + x244 + x267 + x290 + x291 + x313 + x314 + x335 + x359 + x360 + x382 + x383 + x451 + x475 + x497 + x520 + x521 + x544 + x566 + x567 + x590 + x614 + x615 + x645 + x676 + x706 + x707 + x738 + x739 + x768 + x769 + x801 + x830 + x831 + x861 + x862 + x910 + x933 + x957 + x988 + x989 + x1017 + x1018 + x1048 + x1049 + x1101 + x1125 + x1126 + x1149 + x1150 + x1197 + x1222 + x1245 + x1246 + x1270 + x1293 + x1315 + x1338 + x1339 + x1362 + x1407 + x1430 + x1431 + x1454 + x1478 + x1501 + x1525 + x1526 = 1 x6 + x174 + x198 + x220 + x268 + x291 + x314 + x336 + x360 + x383 + x452 + x498 + x521 + x567 + x615 + x677 + x707 + x739 + x769 + x831 + x862 + x934 + x958 + x989 + x1018 + x1049 + x1102 + x1126 + x1150 + x1198 + x1246 + x1316 + x1339 + x1408 + x1431 + x1502 + x1526 = 1 x1 + x25 + x31 + x73 + x103 + x121 + x145 + x169 + x193 + x199 + x221 + x241 + x245 + x264 + x292 + x310 + x315 + x361 + x379 + x384 + x402 + x407 + x430 + x476 + x494 + x517 + x540 + x545 + x563 + x586 + x591 + x609 + x616 + x640 + x646 + x671 + x708 + x733 + x740 + x764 + x770 + x795 + x802 + x826 + x863 + x881 + x887 + x929 + x953 + x959 + x990 + x1013 + x1019 + x1043 + x1050 + x1073 + x1079 + x1127 + x1145 + x1151 + x1169 + x1175 + x1223 + x1241 + x1265 + x1289 + x1312 + x1340 + x1358 + x1363 + x1381 + x1432 + x1450 + x1455 + x1479 + x1497 + x1545 + x1551 = 1 x1 + x2 + x7 + x25 + x26 + x32 + x49 + x55 + x73 + x74 + x79 + x97 + x103 + x104 + x121 + x122 + x127 + x145 + x146 + x151 + x169 + x170 + x194 + x200 + x221 + x222 + x242 + x246 + x264 + x265 + x287 + x292 + x293 + x311 + x315 + x316 + x333 + x337 + x361 + x362 + x380 + x384 + x385 + x402 + x403 + x408 + x425 + x430 + x431 + x448 + x453 + x476 + x477 + x494 + x495 + x499 + x517 + x518 + x540 + x541 + x546 + x563 + x564 + x568 + x587 + x592 + x609 + x610 + x616 + x617 + x640 + x641 + x646 + x647 + x671 + x672 + x678 + x702 + x708 + x709 + x733 + x734 + x740 + x741 + x764 + x765 + x770 + x771 + x795 + x796 + x803 + x826 + x827 + x832 + x857 + x863 + x864 + x881 + x882 + x888 + x905 + x911 + x929 + x930 + x953 + x954 + x960 + x983 + x990 + x991 + x1014 + x1019 + x1020 + x1044 + x1050 + x1051 + x1074 + x1127 + x1146 + x1151 + x1152 + x1169 + x1170 + x1193 + x1217 + x1223 + x1241 + x1242 + x1247 + x1265 + x1266 + x1271 + x1289 + x1290 + x1312 + x1313 + x1317 + x1335 + x1340 + x1341 + x1359 + x1364 + x1381 + x1382 + x1386 + x1404 + x1409 + x1432 + x1433 + x1450 + x1451 + x1456 + x1473 + x1479 + x1497 + x1498 + x1521 + x1527 + x1545 + x1546 = 1 x2 + x3 + x7 + x8 + x25 + x26 + x27 + x49 + x50 + x56 + x73 + x74 + x75 + x97 + x98 + x104 + x121 + x122 + x123 + x128 + x146 + x147 + x169 + x170 + x171 + x175 + x195 + x201 + x221 + x222 + x223 + x264 + x265 + x266 + x288 + x293 + x312 + x315 + x316 + x317 + x334 + x338 + x361 + x362 + x363 + x381 + x385 + x386 + x402 + x403 + x404 + x409 + x425 + x426 + x431 + x432 + x449 + x454 + x471 + x476 + x477 + x478 + x495 + x496 + x500 + x517 + x518 + x519 + x522 + x541 + x564 + x565 + x568 + x569 + x610 + x611 + x617 + x618 + x640 + x641 + x642 + x647 + x648 + x672 + x673 + x679 + x702 + x703 + x708 + x709 + x710 + x734 + x735 + x741 + x765 + x766 + x770 + x771 + x772 + x796 + x797 + x826 + x827 + x828 + x832 + x833 + x858 + x863 + x864 + x881 + x882 + x883 + x889 + x906 + x929 + x930 + x931 + x935 + x953 + x954 + x955 + x959 + x961 + x984 + x991 + x1013 + x1015 + x1019 + x1020 + x1021 + x1045 + x1051 + x1075 + x1097 + x1103 + x1121 + x1127 + x1147 + x1151 + x1152 + x1153 + x1170 + x1171 + x1193 + x1194 + x1199 + x1217 + x1218 + x1242 + x1243 + x1247 + x1248 + x1265 + x1266 + x1267 + x1272 + x1289 + x1290 + x1291 + x1294 + x1313 + x1318 + x1336 + x1340 + x1341 + x1342 + x1360 + x1381 + x1382 + x1383 + x1387 + x1405 + x1410 + x1427 + x1432 + x1433 + x1434 + x1451 + x1452 + x1457 + x1474 + x1497 + x1498 + x1499 + x1503 + x1522 + x1527 + x1528 + x1545 + x1546 + x1547 = 1 x3 + x4 + x8 + x26 + x27 + x28 + x50 + x51 + x74 + x75 + x76 + x98 + x99 + x122 + x123 + x124 + x129 + x147 + x148 + x170 + x171 + x172 + x176 + x221 + x222 + x223 + x224 + x264 + x265 + x266 + x267 + x269 + x313 + x315 + x316 + x317 + x318 + x356 + x361 + x362 + x363 + x364 + x386 + x402 + x403 + x404 + x405 + x410 + x425 + x426 + x427 + x432 + x433 + x450 + x471 + x472 + x477 + x478 + x479 + x496 + x501 + x518 + x519 + x520 + x522 + x523 + x565 + x566 + x568 + x569 + x570 + x611 + x612 + x618 + x641 + x642 + x643 + x648 + x649 + x673 + x674 + x703 + x704 + x709 + x710 + x711 + x735 + x736 + x766 + x767 + x771 + x772 + x773 + x797 + x798 + x827 + x828 + x829 + x833 + x834 + x859 + x864 + x882 + x883 + x884 + x907 + x930 + x931 + x932 + x954 + x955 + x956 + x960 + x962 + x985 + x1014 + x1016 + x1020 + x1021 + x1022 + x1046 + x1076 + x1098 + x1122 + x1128 + x1148 + x1152 + x1153 + x1171 + x1172 + x1194 + x1195 + x1200 + x1218 + x1219 + x1224 + x1243 + x1244 + x1248 + x1249 + x1266 + x1267 + x1268 + x1289 + x1290 + x1291 + x1292 + x1295 + x1337 + x1340 + x1341 + x1342 + x1343 + x1381 + x1382 + x1383 + x1384 + x1388 + x1428 + x1432 + x1433 + x1434 + x1435 + x1452 + x1475 + x1498 + x1499 + x1500 + x1504 + x1523 + x1528 + x1546 + x1547 + x1548 + x1552 = 1 x4 + x5 + x27 + x28 + x29 + x33 + x51 + x52 + x75 + x76 + x77 + x80 + x99 + x100 + x105 + x123 + x124 + x125 + x148 + x149 + x171 + x172 + x173 + x221 + x222 + x223 + x224 + x265 + x266 + x267 + x268 + x270 + x294 + x314 + x316 + x317 + x318 + x319 + x357 + x362 + x363 + x364 + x365 + x403 + x404 + x405 + x406 + x411 + x426 + x427 + x428 + x433 + x434 + x472 + x473 + x478 + x479 + x480 + x519 + x520 + x521 + x523 + x524 + x542 + x547 + x566 + x567 + x569 + x570 + x571 + x588 + x612 + x613 + x642 + x643 + x644 + x649 + x650 + x674 + x675 + x704 + x705 + x710 + x711 + x712 + x736 + x737 + x742 + x767 + x768 + x772 + x773 + x774 + x798 + x799 + x828 + x829 + x830 + x834 + x835 + x860 + x865 + x883 + x884 + x885 + x908 + x931 + x932 + x933 + x955 + x956 + x957 + x961 + x963 + x986 + x1015 + x1017 + x1021 + x1022 + x1023 + x1047 + x1077 + x1099 + x1123 + x1128 + x1129 + x1149 + x1153 + x1172 + x1173 + x1176 + x1195 + x1196 + x1219 + x1220 + x1224 + x1225 + x1244 + x1245 + x1249 + x1267 + x1268 + x1269 + x1290 + x1291 + x1292 + x1293 + x1296 + x1314 + x1338 + x1341 + x1342 + x1343 + x1344 + x1382 + x1383 + x1384 + x1385 + x1389 + x1429 + x1433 + x1434 + x1435 + x1436 + x1476 + x1480 + x1499 + x1500 + x1501 + x1505 + x1524 + x1547 + x1548 + x1549 + x1553 = 1 x5 + x6 + x9 + x28 + x29 + x30 + x34 + x52 + x53 + x76 + x77 + x78 + x81 + x100 + x101 + x105 + x106 + x124 + x125 + x126 + x149 + x150 + x152 + x172 + x173 + x174 + x196 + x202 + x222 + x223 + x224 + x243 + x247 + x266 + x267 + x268 + x271 + x289 + x294 + x295 + x317 + x318 + x319 + x358 + x363 + x364 + x365 + x382 + x387 + x404 + x405 + x406 + x427 + x428 + x429 + x434 + x473 + x474 + x479 + x480 + x497 + x520 + x521 + x524 + x525 + x542 + x543 + x548 + x567 + x570 + x571 + x572 + x589 + x593 + x613 + x614 + x619 + x643 + x644 + x645 + x650 + x651 + x675 + x676 + x705 + x706 + x711 + x712 + x713 + x737 + x738 + x742 + x743 + x768 + x769 + x773 + x774 + x775 + x799 + x800 + x804 + x829 + x830 + x831 + x835 + x836 + x861 + x865 + x866 + x884 + x885 + x886 + x890 + x909 + x932 + x933 + x934 + x936 + x956 + x957 + x958 + x962 + x964 + x987 + x992 + x1016 + x1018 + x1022 + x1023 + x1024 + x1048 + x1052 + x1078 + x1080 + x1100 + x1124 + x1128 + x1129 + x1130 + x1150 + x1154 + x1173 + x1174 + x1177 + x1196 + x1197 + x1220 + x1221 + x1225 + x1226 + x1245 + x1246 + x1268 + x1269 + x1270 + x1273 + x1291 + x1292 + x1293 + x1297 + x1314 + x1315 + x1319 + x1339 + x1342 + x1343 + x1344 + x1361 + x1365 + x1383 + x1384 + x1385 + x1390 + x1406 + x1430 + x1434 + x1435 + x1436 + x1453 + x1458 + x1477 + x1480 + x1481 + x1500 + x1501 + x1502 + x1525 + x1548 + x1549 + x1550 + x1554 = 1 x6 + x9 + x10 + x29 + x30 + x53 + x54 + x57 + x77 + x78 + x82 + x101 + x102 + x106 + x125 + x126 + x130 + x150 + x153 + x173 + x174 + x177 + x197 + x203 + x223 + x224 + x244 + x248 + x267 + x268 + x272 + x290 + x295 + x296 + x318 + x319 + x335 + x339 + x359 + x364 + x365 + x383 + x387 + x388 + x405 + x406 + x428 + x429 + x451 + x455 + x474 + x475 + x480 + x497 + x498 + x502 + x521 + x525 + x526 + x543 + x544 + x549 + x571 + x572 + x590 + x594 + x614 + x615 + x619 + x620 + x644 + x645 + x651 + x676 + x677 + x680 + x706 + x707 + x712 + x713 + x738 + x739 + x743 + x744 + x769 + x774 + x775 + x800 + x801 + x805 + x830 + x831 + x836 + x837 + x862 + x865 + x866 + x885 + x886 + x910 + x912 + x933 + x934 + x937 + x957 + x958 + x963 + x988 + x992 + x993 + x1017 + x1023 + x1024 + x1049 + x1052 + x1053 + x1101 + x1125 + x1129 + x1130 + x1154 + x1174 + x1197 + x1198 + x1221 + x1222 + x1226 + x1246 + x1250 + x1269 + x1270 + x1274 + x1292 + x1293 + x1298 + x1315 + x1316 + x1320 + x1343 + x1344 + x1362 + x1366 + x1384 + x1385 + x1407 + x1411 + x1431 + x1435 + x1436 + x1453 + x1454 + x1459 + x1478 + x1481 + x1501 + x1502 + x1526 + x1529 + x1549 + x1550 = 1 x10 + x30 + x54 + x78 + x102 + x126 + x174 + x178 + x198 + x204 + x224 + x268 + x273 + x291 + x296 + x319 + x336 + x340 + x360 + x365 + x388 + x406 + x429 + x452 + x456 + x475 + x498 + x503 + x526 + x544 + x572 + x615 + x620 + x645 + x677 + x681 + x707 + x713 + x739 + x744 + x775 + x801 + x831 + x837 + x866 + x886 + x934 + x938 + x958 + x964 + x989 + x993 + x1018 + x1024 + x1053 + x1102 + x1104 + x1126 + x1130 + x1154 + x1198 + x1201 + x1222 + x1250 + x1270 + x1293 + x1316 + x1321 + x1344 + x1385 + x1408 + x1412 + x1436 + x1454 + x1502 + x1506 + x1529 + x1550 = 1 x7 + x31 + x35 + x49 + x79 + x107 + x121 + x127 + x151 + x175 + x193 + x199 + x205 + x225 + x241 + x245 + x249 + x269 + x297 + x315 + x320 + x379 + x384 + x389 + x407 + x448 + x494 + x499 + x522 + x545 + x550 + x568 + x586 + x591 + x595 + x609 + x616 + x621 + x646 + x652 + x671 + x678 + x714 + x740 + x745 + x770 + x776 + x795 + x802 + x806 + x832 + x867 + x881 + x887 + x891 + x905 + x935 + x959 + x965 + x983 + x994 + x1019 + x1025 + x1043 + x1050 + x1054 + x1073 + x1079 + x1081 + x1097 + x1131 + x1145 + x1151 + x1155 + x1175 + x1178 + x1193 + x1227 + x1241 + x1247 + x1271 + x1294 + x1317 + x1345 + x1358 + x1363 + x1367 + x1386 + x1404 + x1437 + x1450 + x1455 + x1460 + x1482 + x1497 + x1503 + x1521 + x1551 + x1555 = 1 x1 + x7 + x8 + x11 + x25 + x31 + x32 + x49 + x50 + x55 + x58 + x79 + x83 + x97 + x103 + x107 + x122 + x127 + x128 + x131 + x145 + x151 + x154 + x169 + x175 + x176 + x194 + x200 + x206 + x225 + x226 + x242 + x246 + x250 + x269 + x270 + x287 + x292 + x297 + x298 + x316 + x320 + x321 + x333 + x337 + x341 + x380 + x385 + x389 + x390 + x407 + x408 + x430 + x448 + x449 + x453 + x457 + x495 + x499 + x500 + x504 + x522 + x523 + x540 + x545 + x546 + x551 + x568 + x569 + x573 + x586 + x587 + x592 + x596 + x610 + x616 + x617 + x621 + x622 + x646 + x647 + x652 + x671 + x672 + x678 + x679 + x682 + x708 + x714 + x733 + x740 + x741 + x745 + x746 + x770 + x771 + x776 + x777 + x795 + x796 + x802 + x803 + x807 + x832 + x833 + x838 + x857 + x863 + x867 + x868 + x882 + x887 + x888 + x905 + x906 + x911 + x913 + x935 + x959 + x960 + x983 + x984 + x990 + x994 + x995 + x1020 + x1025 + x1043 + 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