File size: 248,802 Bytes
aff484f | 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627 3628 3629 3630 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 | task_name,problem_type,instruction,instance,solution,obj,instance_variant,solution_variant,context_index,input_format,input_index_base
SP,SP,"Many kitchens run into the same puzzle: try to offer as many dishes as possible for a service without reusing ingredients across plates. The decision is selecting which recipes to include; the obvious goal is to maximize how many recipes end up on the menu. That goal is measured by simply tallying the chosen recipes, but only menus where every selected dish has ingredients that don’t overlap with any other selected dish are allowed, and each dish must be whole. The candidate recipes and ingredient breakdowns are provided below.
# total_ingredients=24
# total_recipes=23
recipe_id,ingredients
S1,A G H L Q
S2,C W X
S3,C P W X
S4,D E I J Q S
S5,D E M Q S
S6,F K
S7,A E G Q R S
S8,A L R
S9,D I J M
S10,D I J U
S11,C F O P V
S12,A H N
S13,E I J M U
S14,L R
S15,C K O P Q S
S16,B C K S V X
S17,G O T
S18,A G H L R
S19,D E G S
S20,A G Q
S21,F K P
S22,B C
S23,B C P X
When you’re ready to send the chosen menu back, just use this simple JSON shape:
{
""solution"": [""set_id"", ...]
}
Think of ""solution"" as the list of recipe ids for the dishes you picked — one id per chosen plate. The example uses ""set_id"" as a placeholder; in your reply put the actual ids from the instance in that array. This JSON is just a sketch of the expected shape, not the actual answer.
Please use the identifiers exactly as they appear in the instance input — no renaming and no new labels. For example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 24, 'num_sets': 23, 'density': 0.16847826086956522, 'sets': [{'id': 1, 'elements': [1, 7, 8, 12, 17]}, {'id': 2, 'elements': [3, 23, 24]}, {'id': 3, 'elements': [3, 16, 23, 24]}, {'id': 4, 'elements': [4, 5, 9, 10, 17, 19]}, {'id': 5, 'elements': [4, 5, 13, 17, 19]}, {'id': 6, 'elements': [6, 11]}, {'id': 7, 'elements': [1, 5, 7, 17, 18, 19]}, {'id': 8, 'elements': [1, 12, 18]}, {'id': 9, 'elements': [4, 9, 10, 13]}, {'id': 10, 'elements': [4, 9, 10, 21]}, {'id': 11, 'elements': [3, 6, 15, 16, 22]}, {'id': 12, 'elements': [1, 8, 14]}, {'id': 13, 'elements': [5, 9, 10, 13, 21]}, {'id': 14, 'elements': [12, 18]}, {'id': 15, 'elements': [3, 11, 15, 16, 17, 19]}, {'id': 16, 'elements': [2, 3, 11, 19, 22, 24]}, {'id': 17, 'elements': [7, 15, 20]}, {'id': 18, 'elements': [1, 7, 8, 12, 18]}, {'id': 19, 'elements': [4, 5, 7, 19]}, {'id': 20, 'elements': [1, 7, 17]}, {'id': 21, 'elements': [6, 11, 16]}, {'id': 22, 'elements': [2, 3]}, {'id': 23, 'elements': [2, 3, 16, 24]}], 'graph': {'num_nodes': 24, 'edges': [{'u': 18, 'v': 1}, {'u': 18, 'v': 8}, {'u': 18, 'v': 12}, {'u': 9, 'v': 13}, {'u': 11, 'v': 16}, {'u': 11, 'v': 22}, {'u': 14, 'v': 12}, {'u': 10, 'v': 13}, {'u': 10, 'v': 21}, {'u': 20, 'v': 7}, {'u': 4, 'v': 5}, {'u': 4, 'v': 13}, {'u': 1, 'v': 7}, {'u': 2, 'v': 3}, {'u': 2, 'v': 23}, {'u': 24, 'v': 3}, {'u': 22, 'v': 6}, {'u': 15, 'v': 16}, {'u': 15, 'v': 19}, {'u': 3, 'v': 16}, {'u': 7, 'v': 17}, {'u': 19, 'v': 5}, {'u': 19, 'v': 17}, {'u': 5, 'v': 17}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0000.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0000.png'}","[2, 6, 10, 12, 14, 17]",6.0,"{'num_elements': 24, 'num_sets': 23, 'sets': [{'id': 'S1', 'elements': ['A', 'G', 'H', 'L', 'Q']}, {'id': 'S2', 'elements': ['C', 'W', 'X']}, {'id': 'S3', 'elements': ['C', 'P', 'W', 'X']}, {'id': 'S4', 'elements': ['D', 'E', 'I', 'J', 'Q', 'S']}, {'id': 'S5', 'elements': ['D', 'E', 'M', 'Q', 'S']}, {'id': 'S6', 'elements': ['F', 'K']}, {'id': 'S7', 'elements': ['A', 'E', 'G', 'Q', 'R', 'S']}, {'id': 'S8', 'elements': ['A', 'L', 'R']}, {'id': 'S9', 'elements': ['D', 'I', 'J', 'M']}, {'id': 'S10', 'elements': ['D', 'I', 'J', 'U']}, {'id': 'S11', 'elements': ['C', 'F', 'O', 'P', 'V']}, {'id': 'S12', 'elements': ['A', 'H', 'N']}, {'id': 'S13', 'elements': ['E', 'I', 'J', 'M', 'U']}, {'id': 'S14', 'elements': ['L', 'R']}, {'id': 'S15', 'elements': ['C', 'K', 'O', 'P', 'Q', 'S']}, {'id': 'S16', 'elements': ['B', 'C', 'K', 'S', 'V', 'X']}, {'id': 'S17', 'elements': ['G', 'O', 'T']}, {'id': 'S18', 'elements': ['A', 'G', 'H', 'L', 'R']}, {'id': 'S19', 'elements': ['D', 'E', 'G', 'S']}, {'id': 'S20', 'elements': ['A', 'G', 'Q']}, {'id': 'S21', 'elements': ['F', 'K', 'P']}, {'id': 'S22', 'elements': ['B', 'C']}, {'id': 'S23', 'elements': ['B', 'C', 'P', 'X']}]}","['S2', 'S6', 'S10', 'S12', 'S14', 'S17']",1,csv,names
SP,SP,"Someone on the planning committee put together several themed gatherings, each with a list of invited guests taken from the same community list. The committee needs to pick a set of gatherings to hold, with the rule that no person can be on more than one chosen guest list. The objective is straightforward: maximize the number of gatherings that actually happen — success is measured by the number of selected gatherings. The specific events and guest lists are shown below.
- **total_guests**: 19
- **total_gatherings**: 17
| gathering_id | invited_guests |
|---|---|
| S1 | B C E J L N Q |
| S2 | B D J L O Q S |
| S3 | A C S |
| S4 | A D E F G L N R |
| S5 | D F N |
| S6 | D E F G |
| S7 | H I J K L P |
| S8 | I J K |
| S9 | I J L |
| S10 | B I L N R |
| S11 | M N Q R |
| S12 | A D L M N Q R |
| S13 | C O S |
| S14 | H I J |
| S15 | A B J L M N |
| S16 | L Q |
| S17 | B O |
If you want to send back which gatherings to hold, just use this little JSON shape so it's easy to read and check:
{
""solution"": [""gathering_id"", ...]
}
Think of it like a form: ""solution"" is the list of gatherings you pick, and each item in the list should be the exact ID for a guest list from the instance (just one ID per chosen gathering). This JSON is just a sketch of the shape I expect, not the final answer itself.
Please make sure to use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 17, 'density': 0.23529411764705882, 'sets': [{'id': 1, 'elements': [2, 3, 5, 10, 12, 14, 17]}, {'id': 2, 'elements': [2, 4, 10, 12, 15, 17, 19]}, {'id': 3, 'elements': [1, 3, 19]}, {'id': 4, 'elements': [1, 4, 5, 6, 7, 12, 14, 18]}, {'id': 5, 'elements': [4, 6, 14]}, {'id': 6, 'elements': [4, 5, 6, 7]}, {'id': 7, 'elements': [8, 9, 10, 11, 12, 16]}, {'id': 8, 'elements': [9, 10, 11]}, {'id': 9, 'elements': [9, 10, 12]}, {'id': 10, 'elements': [2, 9, 12, 14, 18]}, {'id': 11, 'elements': [13, 14, 17, 18]}, {'id': 12, 'elements': [1, 4, 12, 13, 14, 17, 18]}, {'id': 13, 'elements': [3, 15, 19]}, {'id': 14, 'elements': [8, 9, 10]}, {'id': 15, 'elements': [1, 2, 10, 12, 13, 14]}, {'id': 16, 'elements': [12, 17]}, {'id': 17, 'elements': [2, 15]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 17, 'v': 12}, {'u': 17, 'v': 14}, {'u': 17, 'v': 18}, {'u': 19, 'v': 3}, {'u': 1, 'v': 2}, {'u': 1, 'v': 4}, {'u': 1, 'v': 12}, {'u': 2, 'v': 3}, {'u': 2, 'v': 12}, {'u': 3, 'v': 15}, {'u': 8, 'v': 16}, {'u': 9, 'v': 10}, {'u': 9, 'v': 16}, {'u': 10, 'v': 11}, {'u': 10, 'v': 12}, {'u': 13, 'v': 18}, {'u': 14, 'v': 4}, {'u': 14, 'v': 18}, {'u': 4, 'v': 5}, {'u': 5, 'v': 6}, {'u': 5, 'v': 7}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0001.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0001.png'}","[3, 6, 11, 14, 17]",5.0,"{'num_elements': 19, 'num_sets': 17, 'sets': [{'id': 'S1', 'elements': ['B', 'C', 'E', 'J', 'L', 'N', 'Q']}, {'id': 'S2', 'elements': ['B', 'D', 'J', 'L', 'O', 'Q', 'S']}, {'id': 'S3', 'elements': ['A', 'C', 'S']}, {'id': 'S4', 'elements': ['A', 'D', 'E', 'F', 'G', 'L', 'N', 'R']}, {'id': 'S5', 'elements': ['D', 'F', 'N']}, {'id': 'S6', 'elements': ['D', 'E', 'F', 'G']}, {'id': 'S7', 'elements': ['H', 'I', 'J', 'K', 'L', 'P']}, {'id': 'S8', 'elements': ['I', 'J', 'K']}, {'id': 'S9', 'elements': ['I', 'J', 'L']}, {'id': 'S10', 'elements': ['B', 'I', 'L', 'N', 'R']}, {'id': 'S11', 'elements': ['M', 'N', 'Q', 'R']}, {'id': 'S12', 'elements': ['A', 'D', 'L', 'M', 'N', 'Q', 'R']}, {'id': 'S13', 'elements': ['C', 'O', 'S']}, {'id': 'S14', 'elements': ['H', 'I', 'J']}, {'id': 'S15', 'elements': ['A', 'B', 'J', 'L', 'M', 'N']}, {'id': 'S16', 'elements': ['L', 'Q']}, {'id': 'S17', 'elements': ['B', 'O']}]}","['S3', 'S6', 'S11', 'S14', 'S17']",2,markdown_table,names
SP,SP,"We got a brief from a stylist who needs a stack of ready-to-go looks for a short event. The task: choose which ensembles to use so there are as many distinct outfits on the rack as possible. Each ensemble is made from specific items, and an item can’t be assigned to more than one ensemble — no doubling up. A better pick is simply the pick that yields a higher count of complete outfits; just tally how many outfits end up selected. The exact list of garments and possible ensembles is laid out below.
- **total_garments**: 19
- **total_looks**: 17
| look_id | look_garments |
|---|---|
| S1 | A C I M P Q R |
| S2 | B K |
| S3 | F O |
| S4 | D H J M O |
| S5 | G P |
| S6 | D E F |
| S7 | A I L |
| S8 | F J O Q R |
| S9 | A K M |
| S10 | A I R |
| S11 | F J K M O |
| S12 | N Q |
| S13 | E F H M O P Q |
| S14 | A L M O P S |
| S15 | A C M O Q R |
| S16 | C J N Q R |
| S17 | B G P |
Just drop your final picks in a tiny JSON like this so I can read it easily — nothing fancy, just the list of outfits you want to put on the rack:
{
""solution"": [""look_id"", ...]
}
Here ""solution"" is the array of the ensembles you choose. Each entry should be the identifier for a complete look (the exact ID from the instance), so the array is just the selected look IDs. This block is just the expected shape — not the actual answer.
Please use the IDs exactly as they appear in the instance input — do not rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 17, 'density': 0.21362229102167182, 'sets': [{'id': 1, 'elements': [1, 3, 9, 13, 16, 17, 18]}, {'id': 2, 'elements': [2, 11]}, {'id': 3, 'elements': [6, 15]}, {'id': 4, 'elements': [4, 8, 10, 13, 15]}, {'id': 5, 'elements': [7, 16]}, {'id': 6, 'elements': [4, 5, 6]}, {'id': 7, 'elements': [1, 9, 12]}, {'id': 8, 'elements': [6, 10, 15, 17, 18]}, {'id': 9, 'elements': [1, 11, 13]}, {'id': 10, 'elements': [1, 9, 18]}, {'id': 11, 'elements': [6, 10, 11, 13, 15]}, {'id': 12, 'elements': [14, 17]}, {'id': 13, 'elements': [5, 6, 8, 13, 15, 16, 17]}, {'id': 14, 'elements': [1, 12, 13, 15, 16, 19]}, {'id': 15, 'elements': [1, 3, 13, 15, 17, 18]}, {'id': 16, 'elements': [3, 10, 14, 17, 18]}, {'id': 17, 'elements': [2, 7, 16]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 8, 'v': 4}, {'u': 8, 'v': 6}, {'u': 14, 'v': 17}, {'u': 18, 'v': 1}, {'u': 18, 'v': 3}, {'u': 18, 'v': 17}, {'u': 19, 'v': 2}, {'u': 19, 'v': 11}, {'u': 10, 'v': 13}, {'u': 10, 'v': 15}, {'u': 10, 'v': 17}, {'u': 13, 'v': 15}, {'u': 13, 'v': 16}, {'u': 9, 'v': 12}, {'u': 16, 'v': 1}, {'u': 16, 'v': 11}, {'u': 6, 'v': 5}, {'u': 6, 'v': 15}, {'u': 7, 'v': 11}, {'u': 1, 'v': 12}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0002.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0002.png'}","[2, 5, 6, 7, 12]",5.0,"{'num_elements': 19, 'num_sets': 17, 'sets': [{'id': 'S1', 'elements': ['A', 'C', 'I', 'M', 'P', 'Q', 'R']}, {'id': 'S2', 'elements': ['B', 'K']}, {'id': 'S3', 'elements': ['F', 'O']}, {'id': 'S4', 'elements': ['D', 'H', 'J', 'M', 'O']}, {'id': 'S5', 'elements': ['G', 'P']}, {'id': 'S6', 'elements': ['D', 'E', 'F']}, {'id': 'S7', 'elements': ['A', 'I', 'L']}, {'id': 'S8', 'elements': ['F', 'J', 'O', 'Q', 'R']}, {'id': 'S9', 'elements': ['A', 'K', 'M']}, {'id': 'S10', 'elements': ['A', 'I', 'R']}, {'id': 'S11', 'elements': ['F', 'J', 'K', 'M', 'O']}, {'id': 'S12', 'elements': ['N', 'Q']}, {'id': 'S13', 'elements': ['E', 'F', 'H', 'M', 'O', 'P', 'Q']}, {'id': 'S14', 'elements': ['A', 'L', 'M', 'O', 'P', 'S']}, {'id': 'S15', 'elements': ['A', 'C', 'M', 'O', 'Q', 'R']}, {'id': 'S16', 'elements': ['C', 'J', 'N', 'Q', 'R']}, {'id': 'S17', 'elements': ['B', 'G', 'P']}]}","['S2', 'S5', 'S6', 'S7', 'S12']",3,markdown_table,names
SP,SP,"A local radio host has a pile of ready-to-go live playlists and needs to pick which ones to air so the station ends up with the largest number of complete, non-overlapping sets. Each playlist must be used whole if chosen, and no track may appear in more than one chosen playlist. The outcome is straightforward to check: tally the number of sets that get picked, and that total is the measure of how good the selection is. The detailed set and song information is provided below.
{
""total_songs"": 21,
""total_playlists"": 21,
""sets"": [
{
""playlist_id"": ""S1"",
""playlist_songs"": [
0,
5
]
},
{
""playlist_id"": ""S2"",
""playlist_songs"": [
1,
3,
6
]
},
{
""playlist_id"": ""S3"",
""playlist_songs"": [
8,
9
]
},
{
""playlist_id"": ""S4"",
""playlist_songs"": [
1,
3,
6,
12,
13,
19
]
},
{
""playlist_id"": ""S5"",
""playlist_songs"": [
0,
10
]
},
{
""playlist_id"": ""S6"",
""playlist_songs"": [
0,
4,
5
]
},
{
""playlist_id"": ""S7"",
""playlist_songs"": [
1,
3,
7,
8,
9,
12
]
},
{
""playlist_id"": ""S8"",
""playlist_songs"": [
6,
7,
9
]
},
{
""playlist_id"": ""S9"",
""playlist_songs"": [
3,
6,
7,
8,
9,
10,
11
]
},
{
""playlist_id"": ""S10"",
""playlist_songs"": [
2,
6,
7,
9,
10
]
},
{
""playlist_id"": ""S11"",
""playlist_songs"": [
2,
5,
8,
10
]
},
{
""playlist_id"": ""S12"",
""playlist_songs"": [
8,
11,
17
]
},
{
""playlist_id"": ""S13"",
""playlist_songs"": [
3,
6,
12,
13
]
},
{
""playlist_id"": ""S14"",
""playlist_songs"": [
12,
13,
19
]
},
{
""playlist_id"": ""S15"",
""playlist_songs"": [
14,
15,
16,
18,
20
]
},
{
""playlist_id"": ""S16"",
""playlist_songs"": [
14,
15,
16,
18
]
},
{
""playlist_id"": ""S17"",
""playlist_songs"": [
15,
16
]
},
{
""playlist_id"": ""S18"",
""playlist_songs"": [
6,
11
]
},
{
""playlist_id"": ""S19"",
""playlist_songs"": [
15,
18,
19
]
},
{
""playlist_id"": ""S20"",
""playlist_songs"": [
12,
13,
18,
19
]
},
{
""playlist_id"": ""S21"",
""playlist_songs"": [
12,
14,
18,
19
]
}
]
}
Oh, and when you're ready to send back your pick, a little JSON snippet like this is perfect — nice and tidy so the host can read it automatically.
{
""solution"": [""playlist_id"", ...]
}
Here ""solution"" is just the place where you list the playlists you want to air — put each playlist's identifier in that array. Think of it like filling out a short form: the array contains the exact playlist IDs you picked, nothing more. This JSON is just a sketch of the shape I need, not the actual final answer.
Please use the identifiers exactly as they appear in the instance input — no renaming, no made-up labels.
Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 21, 'num_sets': 21, 'density': 0.1746031746031746, 'sets': [{'id': 1, 'elements': [1, 6]}, {'id': 2, 'elements': [2, 4, 7]}, {'id': 3, 'elements': [9, 10]}, {'id': 4, 'elements': [2, 4, 7, 13, 14, 20]}, {'id': 5, 'elements': [1, 11]}, {'id': 6, 'elements': [1, 5, 6]}, {'id': 7, 'elements': [2, 4, 8, 9, 10, 13]}, {'id': 8, 'elements': [7, 8, 10]}, {'id': 9, 'elements': [4, 7, 8, 9, 10, 11, 12]}, {'id': 10, 'elements': [3, 7, 8, 10, 11]}, {'id': 11, 'elements': [3, 6, 9, 11]}, {'id': 12, 'elements': [9, 12, 18]}, {'id': 13, 'elements': [4, 7, 13, 14]}, {'id': 14, 'elements': [13, 14, 20]}, {'id': 15, 'elements': [15, 16, 17, 19, 21]}, {'id': 16, 'elements': [15, 16, 17, 19]}, {'id': 17, 'elements': [16, 17]}, {'id': 18, 'elements': [7, 12]}, {'id': 19, 'elements': [16, 19, 20]}, {'id': 20, 'elements': [13, 14, 19, 20]}, {'id': 21, 'elements': [13, 15, 19, 20]}], 'graph': {'num_nodes': 21, 'edges': [{'u': 4, 'v': 2}, {'u': 4, 'v': 7}, {'u': 4, 'v': 13}, {'u': 5, 'v': 6}, {'u': 5, 'v': 11}, {'u': 6, 'v': 1}, {'u': 12, 'v': 7}, {'u': 12, 'v': 18}, {'u': 8, 'v': 9}, {'u': 9, 'v': 7}, {'u': 9, 'v': 10}, {'u': 10, 'v': 3}, {'u': 10, 'v': 11}, {'u': 19, 'v': 15}, {'u': 19, 'v': 21}, {'u': 13, 'v': 14}, {'u': 13, 'v': 20}, {'u': 15, 'v': 16}, {'u': 16, 'v': 17}, {'u': 20, 'v': 21}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0003.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0003.png'}","[2, 3, 6, 17, 21]",5.0,"{'num_elements': 21, 'num_sets': 21, 'sets': [{'id': 'S1', 'elements': [0, 5]}, {'id': 'S2', 'elements': [1, 3, 6]}, {'id': 'S3', 'elements': [8, 9]}, {'id': 'S4', 'elements': [1, 3, 6, 12, 13, 19]}, {'id': 'S5', 'elements': [0, 10]}, {'id': 'S6', 'elements': [0, 4, 5]}, {'id': 'S7', 'elements': [1, 3, 7, 8, 9, 12]}, {'id': 'S8', 'elements': [6, 7, 9]}, {'id': 'S9', 'elements': [3, 6, 7, 8, 9, 10, 11]}, {'id': 'S10', 'elements': [2, 6, 7, 9, 10]}, {'id': 'S11', 'elements': [2, 5, 8, 10]}, {'id': 'S12', 'elements': [8, 11, 17]}, {'id': 'S13', 'elements': [3, 6, 12, 13]}, {'id': 'S14', 'elements': [12, 13, 19]}, {'id': 'S15', 'elements': [14, 15, 16, 18, 20]}, {'id': 'S16', 'elements': [14, 15, 16, 18]}, {'id': 'S17', 'elements': [15, 16]}, {'id': 'S18', 'elements': [6, 11]}, {'id': 'S19', 'elements': [15, 18, 19]}, {'id': 'S20', 'elements': [12, 13, 18, 19]}, {'id': 'S21', 'elements': [12, 14, 18, 19]}]}","['S2', 'S3', 'S6', 'S17', 'S21']",4,json,0
SP,SP,"I heard a gardener worrying over a stack of planting ideas: each idea is a little bed plan listing which species go together, and the gardener wants to pick as many of those plans as possible. The trick is that a species can only appear in one chosen bed, so any selected plans must use totally different plants. A better choice is simply the one that ends up with more separate beds picked — compare plans by counting how many beds are included — and the exact bed options are shown below.
- **total_species**: 20
- **num_bed_plans**: 19
| bed_plan_id | bed_species |
|---|---|
| S1 | A G K L |
| S2 | B C G L M O |
| S3 | B H J M |
| S4 | I K N P Q S T |
| S5 | E I M R |
| S6 | F K |
| S7 | A F G K L O |
| S8 | H J R |
| S9 | D E M P R S T |
| S10 | C H M R |
| S11 | A F K N |
| S12 | C G K |
| S13 | B C E H I J R |
| S14 | F G K |
| S15 | B G O |
| S16 | D I P Q R T |
| S17 | C E J P R |
| S18 | P S T |
| S19 | D I S |
If you want to send back which bed plans to pick, a neat little reply in JSON works best — something like this shows the shape I'm expecting:
{
""solution"": [""bed_id"", ...]
}
Here ""solution"" is just a list of the chosen bed plan IDs (one entry per picked plan). Think of each ""bed_id"" as the label you see in the instance — slot them into the array in any order you like. This is just a sketch of the shape I want, not the final answer itself.
Please use the exact identifiers from the instance input — do not rename them or invent new labels.
- Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 20, 'num_sets': 19, 'density': 0.22105263157894736, 'sets': [{'id': 1, 'elements': [1, 7, 11, 12]}, {'id': 2, 'elements': [2, 3, 7, 12, 13, 15]}, {'id': 3, 'elements': [2, 8, 10, 13]}, {'id': 4, 'elements': [9, 11, 14, 16, 17, 19, 20]}, {'id': 5, 'elements': [5, 9, 13, 18]}, {'id': 6, 'elements': [6, 11]}, {'id': 7, 'elements': [1, 6, 7, 11, 12, 15]}, {'id': 8, 'elements': [8, 10, 18]}, {'id': 9, 'elements': [4, 5, 13, 16, 18, 19, 20]}, {'id': 10, 'elements': [3, 8, 13, 18]}, {'id': 11, 'elements': [1, 6, 11, 14]}, {'id': 12, 'elements': [3, 7, 11]}, {'id': 13, 'elements': [2, 3, 5, 8, 9, 10, 18]}, {'id': 14, 'elements': [6, 7, 11]}, {'id': 15, 'elements': [2, 7, 15]}, {'id': 16, 'elements': [4, 9, 16, 17, 18, 20]}, {'id': 17, 'elements': [3, 5, 10, 16, 18]}, {'id': 18, 'elements': [16, 19, 20]}, {'id': 19, 'elements': [4, 9, 19]}], 'graph': {'num_nodes': 20, 'edges': [{'u': 4, 'v': 14}, {'u': 4, 'v': 16}, {'u': 4, 'v': 17}, {'u': 5, 'v': 18}, {'u': 15, 'v': 12}, {'u': 19, 'v': 16}, {'u': 12, 'v': 2}, {'u': 12, 'v': 7}, {'u': 13, 'v': 3}, {'u': 13, 'v': 8}, {'u': 13, 'v': 10}, {'u': 13, 'v': 18}, {'u': 2, 'v': 3}, {'u': 18, 'v': 9}, {'u': 1, 'v': 7}, {'u': 20, 'v': 16}, {'u': 9, 'v': 16}, {'u': 7, 'v': 11}, {'u': 14, 'v': 11}, {'u': 11, 'v': 6}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0004.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0004.png'}","[6, 8, 15, 19]",4.0,"{'num_elements': 20, 'num_sets': 19, 'sets': [{'id': 'S1', 'elements': ['A', 'G', 'K', 'L']}, {'id': 'S2', 'elements': ['B', 'C', 'G', 'L', 'M', 'O']}, {'id': 'S3', 'elements': ['B', 'H', 'J', 'M']}, {'id': 'S4', 'elements': ['I', 'K', 'N', 'P', 'Q', 'S', 'T']}, {'id': 'S5', 'elements': ['E', 'I', 'M', 'R']}, {'id': 'S6', 'elements': ['F', 'K']}, {'id': 'S7', 'elements': ['A', 'F', 'G', 'K', 'L', 'O']}, {'id': 'S8', 'elements': ['H', 'J', 'R']}, {'id': 'S9', 'elements': ['D', 'E', 'M', 'P', 'R', 'S', 'T']}, {'id': 'S10', 'elements': ['C', 'H', 'M', 'R']}, {'id': 'S11', 'elements': ['A', 'F', 'K', 'N']}, {'id': 'S12', 'elements': ['C', 'G', 'K']}, {'id': 'S13', 'elements': ['B', 'C', 'E', 'H', 'I', 'J', 'R']}, {'id': 'S14', 'elements': ['F', 'G', 'K']}, {'id': 'S15', 'elements': ['B', 'G', 'O']}, {'id': 'S16', 'elements': ['D', 'I', 'P', 'Q', 'R', 'T']}, {'id': 'S17', 'elements': ['C', 'E', 'J', 'P', 'R']}, {'id': 'S18', 'elements': ['P', 'S', 'T']}, {'id': 'S19', 'elements': ['D', 'I', 'S']}]}","['S6', 'S8', 'S15', 'S19']",5,markdown_table,names
SP,SP,"We’re sorting through a stack of proposed discussion clubs the library collected, and the job is to fit in as many of those clubs as we can. Every club recommends one or more titles, and once a club is added to the lineup none of its books can be used by another club — no overlaps allowed. The score for any plan is just the number of clubs that get scheduled; the goal is to make that number as large as possible by picking compatible clubs. The concrete proposals and their reading lists are listed below.
# total_unique_titles=20
# total_club_proposals=20
club_id,recommended_titles
S1,2 4 14 15
S2,1 2 6 7 12 13 14 18
S3,10 12 19
S4,1 6 12 16
S5,4 5 15
S6,2 4 6 7 10 16 18
S7,3 6 10 12 14 18
S8,5 8 9 15
S9,8 15
S10,6 11 18 19 20
S11,10 17 18 19 20
S12,4 7 12 13 14
S13,1 2 12 13
S14,1 2 3 7 12 13
S15,1 2 4 5 6 8 9 16 18
S16,4 6 8 9 15 16 17
S17,4 6 8 11 15 17
S18,6 7 10 14 15 18 19
S19,3 10 11 14 18 19
S20,9 10 11 15 17
If you want to tell me which clubs to schedule, just send back a tiny JSON snippet in this shape — super simple and clean:
{
""solution"": [""club_id"", ...]
}
""solution"" should be the list of club IDs you want to include. The [""club_id"", ...] line is just a placeholder showing the format — replace club_id with the real IDs from the instance. This is only a sketch of the expected shape, not the actual answer.
Please make sure to use the identifiers exactly as they appear in the instance input — don't rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”. ""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 20, 'num_sets': 20, 'density': 0.265, 'sets': [{'id': 1, 'elements': [2, 4, 14, 15]}, {'id': 2, 'elements': [1, 2, 6, 7, 12, 13, 14, 18]}, {'id': 3, 'elements': [10, 12, 19]}, {'id': 4, 'elements': [1, 6, 12, 16]}, {'id': 5, 'elements': [4, 5, 15]}, {'id': 6, 'elements': [2, 4, 6, 7, 10, 16, 18]}, {'id': 7, 'elements': [3, 6, 10, 12, 14, 18]}, {'id': 8, 'elements': [5, 8, 9, 15]}, {'id': 9, 'elements': [8, 15]}, {'id': 10, 'elements': [6, 11, 18, 19, 20]}, {'id': 11, 'elements': [10, 17, 18, 19, 20]}, {'id': 12, 'elements': [4, 7, 12, 13, 14]}, {'id': 13, 'elements': [1, 2, 12, 13]}, {'id': 14, 'elements': [1, 2, 3, 7, 12, 13]}, {'id': 15, 'elements': [1, 2, 4, 5, 6, 8, 9, 16, 18]}, {'id': 16, 'elements': [4, 6, 8, 9, 15, 16, 17]}, {'id': 17, 'elements': [4, 6, 8, 11, 15, 17]}, {'id': 18, 'elements': [6, 7, 10, 14, 15, 18, 19]}, {'id': 19, 'elements': [3, 10, 11, 14, 18, 19]}, {'id': 20, 'elements': [9, 10, 11, 15, 17]}], 'graph': {'num_nodes': 20, 'edges': [{'u': 15, 'v': 4}, {'u': 15, 'v': 6}, {'u': 15, 'v': 16}, {'u': 15, 'v': 17}, {'u': 16, 'v': 5}, {'u': 16, 'v': 8}, {'u': 17, 'v': 9}, {'u': 17, 'v': 20}, {'u': 18, 'v': 6}, {'u': 18, 'v': 7}, {'u': 18, 'v': 10}, {'u': 19, 'v': 3}, {'u': 19, 'v': 10}, {'u': 11, 'v': 10}, {'u': 11, 'v': 20}, {'u': 1, 'v': 4}, {'u': 1, 'v': 12}, {'u': 4, 'v': 5}, {'u': 2, 'v': 6}, {'u': 2, 'v': 7}, {'u': 2, 'v': 12}, {'u': 3, 'v': 14}, {'u': 7, 'v': 14}, {'u': 9, 'v': 8}, {'u': 12, 'v': 13}, {'u': 12, 'v': 14}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0005.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0005.png'}","[4, 9, 11]",3.0,"{'num_elements': 20, 'num_sets': 20, 'sets': [{'id': 'S1', 'elements': [2, 4, 14, 15]}, {'id': 'S2', 'elements': [1, 2, 6, 7, 12, 13, 14, 18]}, {'id': 'S3', 'elements': [10, 12, 19]}, {'id': 'S4', 'elements': [1, 6, 12, 16]}, {'id': 'S5', 'elements': [4, 5, 15]}, {'id': 'S6', 'elements': [2, 4, 6, 7, 10, 16, 18]}, {'id': 'S7', 'elements': [3, 6, 10, 12, 14, 18]}, {'id': 'S8', 'elements': [5, 8, 9, 15]}, {'id': 'S9', 'elements': [8, 15]}, {'id': 'S10', 'elements': [6, 11, 18, 19, 20]}, {'id': 'S11', 'elements': [10, 17, 18, 19, 20]}, {'id': 'S12', 'elements': [4, 7, 12, 13, 14]}, {'id': 'S13', 'elements': [1, 2, 12, 13]}, {'id': 'S14', 'elements': [1, 2, 3, 7, 12, 13]}, {'id': 'S15', 'elements': [1, 2, 4, 5, 6, 8, 9, 16, 18]}, {'id': 'S16', 'elements': [4, 6, 8, 9, 15, 16, 17]}, {'id': 'S17', 'elements': [4, 6, 8, 11, 15, 17]}, {'id': 'S18', 'elements': [6, 7, 10, 14, 15, 18, 19]}, {'id': 'S19', 'elements': [3, 10, 11, 14, 18, 19]}, {'id': 'S20', 'elements': [9, 10, 11, 15, 17]}]}","['S4', 'S9', 'S11']",6,csv,1
SP,SP,"At the office there’s a stack of proposed teams and the goal is to get the most projects going by picking teams that don’t share staff members. The decision boils down to selecting which of the proposed rosters to approve, and one selection is better than another if it produces more approved teams. Performance is determined by counting those approved teams; the candidate lists are below.
{
""total_staff_count"": 20,
""total_team_proposals"": 19,
""sets"": [
{
""team_proposal_id"": ""S1"",
""team_member_ids"": [
""B"",
""D"",
""E"",
""K"",
""P"",
""T""
]
},
{
""team_proposal_id"": ""S2"",
""team_member_ids"": [
""A"",
""B"",
""G"",
""H"",
""K"",
""L""
]
},
{
""team_proposal_id"": ""S3"",
""team_member_ids"": [
""C"",
""I"",
""L"",
""M""
]
},
{
""team_proposal_id"": ""S4"",
""team_member_ids"": [
""A"",
""B"",
""O"",
""T""
]
},
{
""team_proposal_id"": ""S5"",
""team_member_ids"": [
""A"",
""E"",
""H"",
""K"",
""P""
]
},
{
""team_proposal_id"": ""S6"",
""team_member_ids"": [
""F"",
""I"",
""L"",
""P""
]
},
{
""team_proposal_id"": ""S7"",
""team_member_ids"": [
""B"",
""H"",
""J"",
""L"",
""P"",
""Q""
]
},
{
""team_proposal_id"": ""S8"",
""team_member_ids"": [
""E"",
""H"",
""K"",
""L"",
""P""
]
},
{
""team_proposal_id"": ""S9"",
""team_member_ids"": [
""L"",
""M""
]
},
{
""team_proposal_id"": ""S10"",
""team_member_ids"": [
""A"",
""B"",
""E"",
""H"",
""K"",
""T""
]
},
{
""team_proposal_id"": ""S11"",
""team_member_ids"": [
""B"",
""F"",
""G"",
""P""
]
},
{
""team_proposal_id"": ""S12"",
""team_member_ids"": [
""C"",
""I"",
""L"",
""M"",
""S""
]
},
{
""team_proposal_id"": ""S13"",
""team_member_ids"": [
""J"",
""P"",
""Q""
]
},
{
""team_proposal_id"": ""S14"",
""team_member_ids"": [
""B"",
""D"",
""T""
]
},
{
""team_proposal_id"": ""S15"",
""team_member_ids"": [
""A"",
""B"",
""D"",
""E"",
""G"",
""H"",
""I"",
""J"",
""L"",
""P"",
""Q""
]
},
{
""team_proposal_id"": ""S16"",
""team_member_ids"": [
""N"",
""Q""
]
},
{
""team_proposal_id"": ""S17"",
""team_member_ids"": [
""I"",
""M"",
""R"",
""S""
]
},
{
""team_proposal_id"": ""S18"",
""team_member_ids"": [
""M"",
""S""
]
},
{
""team_proposal_id"": ""S19"",
""team_member_ids"": [
""A"",
""B"",
""D"",
""K"",
""O"",
""T""
]
}
]
}
You can just return the picks in a tiny JSON snippet like this — nice and simple.
{
""solution"": [""team_id"", ...]
}
This ""solution"" array should list the approved team identifiers (one per chosen roster). The ""team_id"" entry is just a placeholder showing the kind of label I expect you to use — when you reply, replace the placeholder with the actual team identifiers from the instance.
This is only a sketch of the expected shape, not the actual answer. Please use the identifiers exactly as they appear in the input — no renaming, no new labels. For example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 20, 'num_sets': 19, 'density': 0.23157894736842105, 'sets': [{'id': 1, 'elements': [2, 4, 5, 11, 16, 20]}, {'id': 2, 'elements': [1, 2, 7, 8, 11, 12]}, {'id': 3, 'elements': [3, 9, 12, 13]}, {'id': 4, 'elements': [1, 2, 15, 20]}, {'id': 5, 'elements': [1, 5, 8, 11, 16]}, {'id': 6, 'elements': [6, 9, 12, 16]}, {'id': 7, 'elements': [2, 8, 10, 12, 16, 17]}, {'id': 8, 'elements': [5, 8, 11, 12, 16]}, {'id': 9, 'elements': [12, 13]}, {'id': 10, 'elements': [1, 2, 5, 8, 11, 20]}, {'id': 11, 'elements': [2, 6, 7, 16]}, {'id': 12, 'elements': [3, 9, 12, 13, 19]}, {'id': 13, 'elements': [10, 16, 17]}, {'id': 14, 'elements': [2, 4, 20]}, {'id': 15, 'elements': [1, 2, 4, 5, 7, 8, 9, 10, 12, 16, 17]}, {'id': 16, 'elements': [14, 17]}, {'id': 17, 'elements': [9, 13, 18, 19]}, {'id': 18, 'elements': [13, 19]}, {'id': 19, 'elements': [1, 2, 4, 11, 15, 20]}], 'graph': {'num_nodes': 20, 'edges': [{'u': 17, 'v': 7}, {'u': 1, 'v': 2}, {'u': 1, 'v': 11}, {'u': 1, 'v': 20}, {'u': 10, 'v': 7}, {'u': 13, 'v': 9}, {'u': 13, 'v': 18}, {'u': 12, 'v': 6}, {'u': 12, 'v': 9}, {'u': 12, 'v': 16}, {'u': 9, 'v': 3}, {'u': 2, 'v': 4}, {'u': 2, 'v': 16}, {'u': 5, 'v': 8}, {'u': 5, 'v': 11}, {'u': 14, 'v': 7}, {'u': 18, 'v': 19}, {'u': 16, 'v': 7}, {'u': 16, 'v': 8}, {'u': 15, 'v': 4}, {'u': 15, 'v': 20}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0006.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0006.png'}","[5, 14, 16, 18]",4.0,"{'num_elements': 20, 'num_sets': 19, 'sets': [{'id': 'S1', 'elements': ['B', 'D', 'E', 'K', 'P', 'T']}, {'id': 'S2', 'elements': ['A', 'B', 'G', 'H', 'K', 'L']}, {'id': 'S3', 'elements': ['C', 'I', 'L', 'M']}, {'id': 'S4', 'elements': ['A', 'B', 'O', 'T']}, {'id': 'S5', 'elements': ['A', 'E', 'H', 'K', 'P']}, {'id': 'S6', 'elements': ['F', 'I', 'L', 'P']}, {'id': 'S7', 'elements': ['B', 'H', 'J', 'L', 'P', 'Q']}, {'id': 'S8', 'elements': ['E', 'H', 'K', 'L', 'P']}, {'id': 'S9', 'elements': ['L', 'M']}, {'id': 'S10', 'elements': ['A', 'B', 'E', 'H', 'K', 'T']}, {'id': 'S11', 'elements': ['B', 'F', 'G', 'P']}, {'id': 'S12', 'elements': ['C', 'I', 'L', 'M', 'S']}, {'id': 'S13', 'elements': ['J', 'P', 'Q']}, {'id': 'S14', 'elements': ['B', 'D', 'T']}, {'id': 'S15', 'elements': ['A', 'B', 'D', 'E', 'G', 'H', 'I', 'J', 'L', 'P', 'Q']}, {'id': 'S16', 'elements': ['N', 'Q']}, {'id': 'S17', 'elements': ['I', 'M', 'R', 'S']}, {'id': 'S18', 'elements': ['M', 'S']}, {'id': 'S19', 'elements': ['A', 'B', 'D', 'K', 'O', 'T']}]}","['S5', 'S14', 'S16', 'S18']",7,json,names
SP,SP,"We’re sorting through a stack of route sheets and trying to take as many full routes as possible, with the catch that no delivery address can be on two of the chosen routes — routes can’t be split or partially used. The way to tell which plan is best is simple: count how many routes were picked (only valid if none of their stops overlap). The specific routes and stops are listed below.
There are 23 route sheets covering 24 unique stops; the routes and their stops follow:
Route S1 visits stops 1 4 9.
Route S2 visits stops 4 9 20.
Route S3 visits stops 3 4 7 8 12 13 16 23.
Route S4 visits stops 1 2 3 4 7 9 20.
Route S5 visits stops 5 23 24.
Route S6 visits stops 3 4 7 8.
Route S7 visits stops 3 7 8 9 12 23.
Route S8 visits stops 1 2 11 18 20.
Route S9 visits stops 10 13 14.
Route S10 visits stops 11 18 20.
Route S11 visits stops 3 8 12 13 14 21 22 23.
Route S12 visits stops 3 10 12 13 14 15 22.
Route S13 visits stops 10 12 13 14.
Route S14 visits stops 12 13.
Route S15 visits stops 3 18 19 20 23 24.
Route S16 visits stops 16 23.
Route S17 visits stops 9 11 16 17 18 19.
Route S18 visits stops 18 20.
Route S19 visits stops 2 9 11 16 18 19 20.
Route S20 visits stops 12 21.
Route S21 visits stops 3 13 21 22.
Route S22 visits stops 3 5 8 12 16 17.
Route S23 visits stops 3 5 6 16 23 24.
We'll aim to pick as many full routes as possible without any overlapping stops.
Oh, and to keep things tidy, please give your final pick in this simple JSON format — nothing fancy, just a quick list of the route IDs you want to take:
{
""solution"": [""route_id"", ...]
}
""solution"" is the list of chosen routes (one identifier per route). Treat the JSON above like a form: drop your chosen route identifiers into that array. It's just a sketch of the shape I expect, not the actual answer itself.
Please use the exact identifiers from the instance input — don't rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 24, 'num_sets': 23, 'density': 0.19384057971014493, 'sets': [{'id': 1, 'elements': [1, 4, 9]}, {'id': 2, 'elements': [4, 9, 20]}, {'id': 3, 'elements': [3, 4, 7, 8, 12, 13, 16, 23]}, {'id': 4, 'elements': [1, 2, 3, 4, 7, 9, 20]}, {'id': 5, 'elements': [5, 23, 24]}, {'id': 6, 'elements': [3, 4, 7, 8]}, {'id': 7, 'elements': [3, 7, 8, 9, 12, 23]}, {'id': 8, 'elements': [1, 2, 11, 18, 20]}, {'id': 9, 'elements': [10, 13, 14]}, {'id': 10, 'elements': [11, 18, 20]}, {'id': 11, 'elements': [3, 8, 12, 13, 14, 21, 22, 23]}, {'id': 12, 'elements': [3, 10, 12, 13, 14, 15, 22]}, {'id': 13, 'elements': [10, 12, 13, 14]}, {'id': 14, 'elements': [12, 13]}, {'id': 15, 'elements': [3, 18, 19, 20, 23, 24]}, {'id': 16, 'elements': [16, 23]}, {'id': 17, 'elements': [9, 11, 16, 17, 18, 19]}, {'id': 18, 'elements': [18, 20]}, {'id': 19, 'elements': [2, 9, 11, 16, 18, 19, 20]}, {'id': 20, 'elements': [12, 21]}, {'id': 21, 'elements': [3, 13, 21, 22]}, {'id': 22, 'elements': [3, 5, 8, 12, 16, 17]}, {'id': 23, 'elements': [3, 5, 6, 16, 23, 24]}], 'graph': {'num_nodes': 24, 'edges': [{'u': 7, 'v': 8}, {'u': 23, 'v': 3}, {'u': 23, 'v': 16}, {'u': 23, 'v': 24}, {'u': 24, 'v': 5}, {'u': 11, 'v': 20}, {'u': 12, 'v': 3}, {'u': 12, 'v': 13}, {'u': 12, 'v': 22}, {'u': 13, 'v': 14}, {'u': 13, 'v': 15}, {'u': 14, 'v': 10}, {'u': 1, 'v': 4}, {'u': 2, 'v': 9}, {'u': 6, 'v': 5}, {'u': 3, 'v': 8}, {'u': 21, 'v': 22}, {'u': 9, 'v': 4}, {'u': 9, 'v': 20}, {'u': 4, 'v': 8}, {'u': 16, 'v': 17}, {'u': 16, 'v': 18}, {'u': 18, 'v': 19}, {'u': 18, 'v': 20}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0007.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0007.png'}","[1, 5, 9, 18, 20]",5.0,"{'num_elements': 24, 'num_sets': 23, 'sets': [{'id': 'S1', 'elements': [1, 4, 9]}, {'id': 'S2', 'elements': [4, 9, 20]}, {'id': 'S3', 'elements': [3, 4, 7, 8, 12, 13, 16, 23]}, {'id': 'S4', 'elements': [1, 2, 3, 4, 7, 9, 20]}, {'id': 'S5', 'elements': [5, 23, 24]}, {'id': 'S6', 'elements': [3, 4, 7, 8]}, {'id': 'S7', 'elements': [3, 7, 8, 9, 12, 23]}, {'id': 'S8', 'elements': [1, 2, 11, 18, 20]}, {'id': 'S9', 'elements': [10, 13, 14]}, {'id': 'S10', 'elements': [11, 18, 20]}, {'id': 'S11', 'elements': [3, 8, 12, 13, 14, 21, 22, 23]}, {'id': 'S12', 'elements': [3, 10, 12, 13, 14, 15, 22]}, {'id': 'S13', 'elements': [10, 12, 13, 14]}, {'id': 'S14', 'elements': [12, 13]}, {'id': 'S15', 'elements': [3, 18, 19, 20, 23, 24]}, {'id': 'S16', 'elements': [16, 23]}, {'id': 'S17', 'elements': [9, 11, 16, 17, 18, 19]}, {'id': 'S18', 'elements': [18, 20]}, {'id': 'S19', 'elements': [2, 9, 11, 16, 18, 19, 20]}, {'id': 'S20', 'elements': [12, 21]}, {'id': 'S21', 'elements': [3, 13, 21, 22]}, {'id': 'S22', 'elements': [3, 5, 8, 12, 16, 17]}, {'id': 'S23', 'elements': [3, 5, 6, 16, 23, 24]}]}","['S1', 'S5', 'S9', 'S18', 'S20']",8,nl,1
SP,SP,"Lately the studio’s trying to run a bunch of shoots at once, and the assignment is to choose as many shoots as will fit together without any model being on two call sheets. Each shoot has its required models and those people can’t be split or double-booked. The best lineup is the one with the biggest number of simultaneous shoots — evaluate by counting them. The concrete details are shown below.
# total_models=19
# total_shoots=19
shoot_id,required_models
S1,1 4 5 8
S2,2 19
S3,3 11 13 18
S4,4 8
S5,5 7 9 11
S6,2 6 7 10 19
S7,5 6 9 11 19
S8,1 4 5 8 11
S9,7 9 11 18
S10,2 10 19
S11,5 7 8 9 11 13 17 19
S12,13 18
S13,3 11 12 17 18
S14,16 17
S15,3 15 18
S16,14 17 18
S17,3 14 16 18
S18,5 7 9 11 12 14 15 16 18
S19,2 6 7 10 11
Oh, and when you give me the final answer, just drop it into a tiny JSON snippet so it's easy to parse. Something like this:
{
""solution"": [""shoot_id"", ...]
}
Here ""solution"" is the list of shoots you want to run simultaneously, and each entry is the ID of a shoot (use the exact ID string from the instance). This JSON is just a sketch of the expected shape — it shows what the answer should look like, not the actual picks.
Please use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
For example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 19, 'density': 0.2188365650969529, 'sets': [{'id': 1, 'elements': [1, 4, 5, 8]}, {'id': 2, 'elements': [2, 19]}, {'id': 3, 'elements': [3, 11, 13, 18]}, {'id': 4, 'elements': [4, 8]}, {'id': 5, 'elements': [5, 7, 9, 11]}, {'id': 6, 'elements': [2, 6, 7, 10, 19]}, {'id': 7, 'elements': [5, 6, 9, 11, 19]}, {'id': 8, 'elements': [1, 4, 5, 8, 11]}, {'id': 9, 'elements': [7, 9, 11, 18]}, {'id': 10, 'elements': [2, 10, 19]}, {'id': 11, 'elements': [5, 7, 8, 9, 11, 13, 17, 19]}, {'id': 12, 'elements': [13, 18]}, {'id': 13, 'elements': [3, 11, 12, 17, 18]}, {'id': 14, 'elements': [16, 17]}, {'id': 15, 'elements': [3, 15, 18]}, {'id': 16, 'elements': [14, 17, 18]}, {'id': 17, 'elements': [3, 14, 16, 18]}, {'id': 18, 'elements': [5, 7, 9, 11, 12, 14, 15, 16, 18]}, {'id': 19, 'elements': [2, 6, 7, 10, 11]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 6, 'v': 2}, {'u': 6, 'v': 10}, {'u': 6, 'v': 19}, {'u': 18, 'v': 3}, {'u': 18, 'v': 11}, {'u': 18, 'v': 13}, {'u': 18, 'v': 17}, {'u': 8, 'v': 1}, {'u': 8, 'v': 5}, {'u': 9, 'v': 11}, {'u': 11, 'v': 5}, {'u': 11, 'v': 7}, {'u': 12, 'v': 13}, {'u': 17, 'v': 14}, {'u': 17, 'v': 16}, {'u': 1, 'v': 4}, {'u': 3, 'v': 15}, {'u': 7, 'v': 19}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0008.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0008.png'}","[2, 4, 5, 14, 15]",5.0,"{'num_elements': 19, 'num_sets': 19, 'sets': [{'id': 'S1', 'elements': [1, 4, 5, 8]}, {'id': 'S2', 'elements': [2, 19]}, {'id': 'S3', 'elements': [3, 11, 13, 18]}, {'id': 'S4', 'elements': [4, 8]}, {'id': 'S5', 'elements': [5, 7, 9, 11]}, {'id': 'S6', 'elements': [2, 6, 7, 10, 19]}, {'id': 'S7', 'elements': [5, 6, 9, 11, 19]}, {'id': 'S8', 'elements': [1, 4, 5, 8, 11]}, {'id': 'S9', 'elements': [7, 9, 11, 18]}, {'id': 'S10', 'elements': [2, 10, 19]}, {'id': 'S11', 'elements': [5, 7, 8, 9, 11, 13, 17, 19]}, {'id': 'S12', 'elements': [13, 18]}, {'id': 'S13', 'elements': [3, 11, 12, 17, 18]}, {'id': 'S14', 'elements': [16, 17]}, {'id': 'S15', 'elements': [3, 15, 18]}, {'id': 'S16', 'elements': [14, 17, 18]}, {'id': 'S17', 'elements': [3, 14, 16, 18]}, {'id': 'S18', 'elements': [5, 7, 9, 11, 12, 14, 15, 16, 18]}, {'id': 'S19', 'elements': [2, 6, 7, 10, 11]}]}","['S2', 'S4', 'S5', 'S14', 'S15']",9,csv,1
SP,SP,"Recently the festival organizer asked for help picking the maximum number of booth pairings for the event: the measure of success is simply how many pairings are approved, counted up. There’s one ground rule — don’t allow two approved booths that sell the same thing, so each chosen booth must have a distinct product type. The concrete instance with booth details appears below.
{
""total_product_types"": 24,
""total_booth_pairings"": 24,
""sets"": [
{
""pairing_id"": ""S1"",
""product_types"": [
1,
8,
11,
21
]
},
{
""pairing_id"": ""S2"",
""product_types"": [
2,
13
]
},
{
""pairing_id"": ""S3"",
""product_types"": [
2,
13,
14,
15,
17
]
},
{
""pairing_id"": ""S4"",
""product_types"": [
4,
16,
17,
18
]
},
{
""pairing_id"": ""S5"",
""product_types"": [
5,
6,
17,
18,
21,
24
]
},
{
""pairing_id"": ""S6"",
""product_types"": [
6,
7,
17,
18,
19
]
},
{
""pairing_id"": ""S7"",
""product_types"": [
6,
7,
19
]
},
{
""pairing_id"": ""S8"",
""product_types"": [
11,
20,
21,
23
]
},
{
""pairing_id"": ""S9"",
""product_types"": [
9,
24
]
},
{
""pairing_id"": ""S10"",
""product_types"": [
10,
12,
24
]
},
{
""pairing_id"": ""S11"",
""product_types"": [
1,
5,
8,
21,
23
]
},
{
""pairing_id"": ""S12"",
""product_types"": [
10,
12,
21,
22,
24
]
},
{
""pairing_id"": ""S13"",
""product_types"": [
2,
3,
13,
15
]
},
{
""pairing_id"": ""S14"",
""product_types"": [
3,
14,
16,
17
]
},
{
""pairing_id"": ""S15"",
""product_types"": [
3,
15,
16
]
},
{
""pairing_id"": ""S16"",
""product_types"": [
3,
4,
13,
15,
16,
17,
18
]
},
{
""pairing_id"": ""S17"",
""product_types"": [
3,
4,
5
]
},
{
""pairing_id"": ""S18"",
""product_types"": [
5,
7,
16,
18
]
},
{
""pairing_id"": ""S19"",
""product_types"": [
6,
7,
18,
19
]
},
{
""pairing_id"": ""S20"",
""product_types"": [
8,
20
]
},
{
""pairing_id"": ""S21"",
""product_types"": [
8,
11,
18
]
},
{
""pairing_id"": ""S22"",
""product_types"": [
12,
24
]
},
{
""pairing_id"": ""S23"",
""product_types"": [
8,
11,
23
]
},
{
""pairing_id"": ""S24"",
""product_types"": [
9,
12,
22,
24
]
}
]
}
When you send back the approved booth choices, a simple JSON layout like this keeps things tidy and easy to read:
{
""solution"": [""booth_id"", ...]
}
The ""solution"" list should contain the identifiers of the booths you've approved. ""booth_id"" is just a placeholder showing the shape — replace each placeholder with the actual booth labels from the instance. This JSON is just a sketch of the expected shape, not the real answer itself.
Please make sure to use the exact identifiers as they appear in the problem input — do not rename them or invent new labels.
For example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 24, 'num_sets': 24, 'density': 0.1579861111111111, 'sets': [{'id': 1, 'elements': [1, 8, 11, 21]}, {'id': 2, 'elements': [2, 13]}, {'id': 3, 'elements': [2, 13, 14, 15, 17]}, {'id': 4, 'elements': [4, 16, 17, 18]}, {'id': 5, 'elements': [5, 6, 17, 18, 21, 24]}, {'id': 6, 'elements': [6, 7, 17, 18, 19]}, {'id': 7, 'elements': [6, 7, 19]}, {'id': 8, 'elements': [11, 20, 21, 23]}, {'id': 9, 'elements': [9, 24]}, {'id': 10, 'elements': [10, 12, 24]}, {'id': 11, 'elements': [1, 5, 8, 21, 23]}, {'id': 12, 'elements': [10, 12, 21, 22, 24]}, {'id': 13, 'elements': [2, 3, 13, 15]}, {'id': 14, 'elements': [3, 14, 16, 17]}, {'id': 15, 'elements': [3, 15, 16]}, {'id': 16, 'elements': [3, 4, 13, 15, 16, 17, 18]}, {'id': 17, 'elements': [3, 4, 5]}, {'id': 18, 'elements': [5, 7, 16, 18]}, {'id': 19, 'elements': [6, 7, 18, 19]}, {'id': 20, 'elements': [8, 20]}, {'id': 21, 'elements': [8, 11, 18]}, {'id': 22, 'elements': [12, 24]}, {'id': 23, 'elements': [8, 11, 23]}, {'id': 24, 'elements': [9, 12, 22, 24]}], 'graph': {'num_nodes': 24, 'edges': [{'u': 9, 'v': 10}, {'u': 10, 'v': 24}, {'u': 4, 'v': 17}, {'u': 16, 'v': 3}, {'u': 16, 'v': 14}, {'u': 16, 'v': 17}, {'u': 19, 'v': 6}, {'u': 2, 'v': 13}, {'u': 18, 'v': 5}, {'u': 18, 'v': 6}, {'u': 18, 'v': 17}, {'u': 6, 'v': 7}, {'u': 24, 'v': 12}, {'u': 24, 'v': 21}, {'u': 21, 'v': 5}, {'u': 21, 'v': 11}, {'u': 1, 'v': 11}, {'u': 22, 'v': 12}, {'u': 23, 'v': 8}, {'u': 23, 'v': 20}, {'u': 15, 'v': 3}, {'u': 11, 'v': 8}, {'u': 13, 'v': 3}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0009.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0009.png'}","[2, 7, 15, 20, 22]",5.0,"{'num_elements': 24, 'num_sets': 24, 'sets': [{'id': 'S1', 'elements': [1, 8, 11, 21]}, {'id': 'S2', 'elements': [2, 13]}, {'id': 'S3', 'elements': [2, 13, 14, 15, 17]}, {'id': 'S4', 'elements': [4, 16, 17, 18]}, {'id': 'S5', 'elements': [5, 6, 17, 18, 21, 24]}, {'id': 'S6', 'elements': [6, 7, 17, 18, 19]}, {'id': 'S7', 'elements': [6, 7, 19]}, {'id': 'S8', 'elements': [11, 20, 21, 23]}, {'id': 'S9', 'elements': [9, 24]}, {'id': 'S10', 'elements': [10, 12, 24]}, {'id': 'S11', 'elements': [1, 5, 8, 21, 23]}, {'id': 'S12', 'elements': [10, 12, 21, 22, 24]}, {'id': 'S13', 'elements': [2, 3, 13, 15]}, {'id': 'S14', 'elements': [3, 14, 16, 17]}, {'id': 'S15', 'elements': [3, 15, 16]}, {'id': 'S16', 'elements': [3, 4, 13, 15, 16, 17, 18]}, {'id': 'S17', 'elements': [3, 4, 5]}, {'id': 'S18', 'elements': [5, 7, 16, 18]}, {'id': 'S19', 'elements': [6, 7, 18, 19]}, {'id': 'S20', 'elements': [8, 20]}, {'id': 'S21', 'elements': [8, 11, 18]}, {'id': 'S22', 'elements': [12, 24]}, {'id': 'S23', 'elements': [8, 11, 23]}, {'id': 'S24', 'elements': [9, 12, 22, 24]}]}","['S2', 'S7', 'S15', 'S20', 'S22']",10,json,1
SP,SP,"We were asked by the counseling office to organize study sessions from a list of suggested groups, trying to have as many separate groups as possible while making sure the groups don’t share any students. The decision is which group proposals to accept so the outcome has the largest possible count of groups; measure that by simply counting how many groups end up being scheduled. Every chosen group must have its own distinct set of students — no student may appear in more than one group. The specific students and the group options are listed below.
# total_students=24
# total_group_proposals=24
group_id,group_students
S1,A I N
S2,C O Q S V
S3,B F I O T
S4,E F G P R U W X
S5,D E H J U W X
S6,C D F I M U X
S7,R S V
S8,E H
S9,A C F I M N T
S10,E J K L T U
S11,J L N U W
S12,E F J L N T U X
S13,F I O R V X
S14,A F I J L N
S15,B C D F M P Q S U X
S16,G O P R S W X
S17,Q S V
S18,D M O P R V X
S19,G O P V
S20,C F I J N T U X
S21,D K L T U W X
S22,G M Q R S V X
S23,K P W
S24,D E F L O P R T U V W
If you want to tell me which groups to accept, just send the answer in a tiny JSON snippet like this so it's easy to read and check:
{
""solution"": [""group_id"", ...]
}
This just means ""solution"" should be a list of the group IDs you want to schedule. The example uses ""group_id"" as a placeholder — in your reply, put the actual IDs from the instance instead of that placeholder. Think of it like filling out a quick form: one array with the chosen group labels.
This JSON is only a sketch of the expected shape, not the actual answer.
Also, please use the identifiers exactly as they appear in the instance input — don't rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 24, 'num_sets': 24, 'density': 0.2517361111111111, 'sets': [{'id': 1, 'elements': [1, 9, 14]}, {'id': 2, 'elements': [3, 15, 17, 19, 22]}, {'id': 3, 'elements': [2, 6, 9, 15, 20]}, {'id': 4, 'elements': [5, 6, 7, 16, 18, 21, 23, 24]}, {'id': 5, 'elements': [4, 5, 8, 10, 21, 23, 24]}, {'id': 6, 'elements': [3, 4, 6, 9, 13, 21, 24]}, {'id': 7, 'elements': [18, 19, 22]}, {'id': 8, 'elements': [5, 8]}, {'id': 9, 'elements': [1, 3, 6, 9, 13, 14, 20]}, {'id': 10, 'elements': [5, 10, 11, 12, 20, 21]}, {'id': 11, 'elements': [10, 12, 14, 21, 23]}, {'id': 12, 'elements': [5, 6, 10, 12, 14, 20, 21, 24]}, {'id': 13, 'elements': [6, 9, 15, 18, 22, 24]}, {'id': 14, 'elements': [1, 6, 9, 10, 12, 14]}, {'id': 15, 'elements': [2, 3, 4, 6, 13, 16, 17, 19, 21, 24]}, {'id': 16, 'elements': [7, 15, 16, 18, 19, 23, 24]}, {'id': 17, 'elements': [17, 19, 22]}, {'id': 18, 'elements': [4, 13, 15, 16, 18, 22, 24]}, {'id': 19, 'elements': [7, 15, 16, 22]}, {'id': 20, 'elements': [3, 6, 9, 10, 14, 20, 21, 24]}, {'id': 21, 'elements': [4, 11, 12, 20, 21, 23, 24]}, {'id': 22, 'elements': [7, 13, 17, 18, 19, 22, 24]}, {'id': 23, 'elements': [11, 16, 23]}, {'id': 24, 'elements': [4, 5, 6, 12, 15, 16, 18, 20, 21, 22, 23]}], 'graph': {'num_nodes': 24, 'edges': [{'u': 15, 'v': 13}, {'u': 15, 'v': 18}, {'u': 15, 'v': 22}, {'u': 15, 'v': 24}, {'u': 13, 'v': 2}, {'u': 13, 'v': 3}, {'u': 5, 'v': 11}, {'u': 5, 'v': 21}, {'u': 5, 'v': 23}, {'u': 6, 'v': 3}, {'u': 6, 'v': 20}, {'u': 6, 'v': 24}, {'u': 17, 'v': 22}, {'u': 24, 'v': 4}, {'u': 24, 'v': 21}, {'u': 1, 'v': 9}, {'u': 2, 'v': 22}, {'u': 3, 'v': 9}, {'u': 19, 'v': 7}, {'u': 19, 'v': 22}, {'u': 9, 'v': 14}, {'u': 14, 'v': 10}, {'u': 14, 'v': 20}, {'u': 18, 'v': 16}, {'u': 12, 'v': 10}, {'u': 12, 'v': 20}, {'u': 12, 'v': 21}, {'u': 16, 'v': 4}, {'u': 16, 'v': 7}, {'u': 4, 'v': 23}, {'u': 10, 'v': 11}, {'u': 23, 'v': 8}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0010.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0010.png'}","[3, 8, 17, 23]",4.0,"{'num_elements': 24, 'num_sets': 24, 'sets': [{'id': 'S1', 'elements': ['A', 'I', 'N']}, {'id': 'S2', 'elements': ['C', 'O', 'Q', 'S', 'V']}, {'id': 'S3', 'elements': ['B', 'F', 'I', 'O', 'T']}, {'id': 'S4', 'elements': ['E', 'F', 'G', 'P', 'R', 'U', 'W', 'X']}, {'id': 'S5', 'elements': ['D', 'E', 'H', 'J', 'U', 'W', 'X']}, {'id': 'S6', 'elements': ['C', 'D', 'F', 'I', 'M', 'U', 'X']}, {'id': 'S7', 'elements': ['R', 'S', 'V']}, {'id': 'S8', 'elements': ['E', 'H']}, {'id': 'S9', 'elements': ['A', 'C', 'F', 'I', 'M', 'N', 'T']}, {'id': 'S10', 'elements': ['E', 'J', 'K', 'L', 'T', 'U']}, {'id': 'S11', 'elements': ['J', 'L', 'N', 'U', 'W']}, {'id': 'S12', 'elements': ['E', 'F', 'J', 'L', 'N', 'T', 'U', 'X']}, {'id': 'S13', 'elements': ['F', 'I', 'O', 'R', 'V', 'X']}, {'id': 'S14', 'elements': ['A', 'F', 'I', 'J', 'L', 'N']}, {'id': 'S15', 'elements': ['B', 'C', 'D', 'F', 'M', 'P', 'Q', 'S', 'U', 'X']}, {'id': 'S16', 'elements': ['G', 'O', 'P', 'R', 'S', 'W', 'X']}, {'id': 'S17', 'elements': ['Q', 'S', 'V']}, {'id': 'S18', 'elements': ['D', 'M', 'O', 'P', 'R', 'V', 'X']}, {'id': 'S19', 'elements': ['G', 'O', 'P', 'V']}, {'id': 'S20', 'elements': ['C', 'F', 'I', 'J', 'N', 'T', 'U', 'X']}, {'id': 'S21', 'elements': ['D', 'K', 'L', 'T', 'U', 'W', 'X']}, {'id': 'S22', 'elements': ['G', 'M', 'Q', 'R', 'S', 'V', 'X']}, {'id': 'S23', 'elements': ['K', 'P', 'W']}, {'id': 'S24', 'elements': ['D', 'E', 'F', 'L', 'O', 'P', 'R', 'T', 'U', 'V', 'W']}]}","['S3', 'S8', 'S17', 'S23']",11,csv,names
SP,SP,"Many people signed up across a handful of time slots, and the coordinator now has to lock in which shifts will actually happen. The plan is to include as many shifts as possible, but any person who shows up on more than one of the candidate shifts must only appear once among the shifts that are kept. A schedule’s quality is just the number of shifts it keeps open, counted directly, and the full list of volunteers and shift times is provided below.
{
""total_volunteers"": 19,
""total_candidate_shifts"": 18,
""sets"": [
{
""shift_id"": ""S1"",
""volunteers"": [
""A"",
""B"",
""C"",
""D"",
""H"",
""S""
]
},
{
""shift_id"": ""S2"",
""volunteers"": [
""A"",
""F"",
""S""
]
},
{
""shift_id"": ""S3"",
""volunteers"": [
""A"",
""B"",
""C"",
""H""
]
},
{
""shift_id"": ""S4"",
""volunteers"": [
""E"",
""O"",
""P""
]
},
{
""shift_id"": ""S5"",
""volunteers"": [
""B"",
""F"",
""G"",
""H"",
""N""
]
},
{
""shift_id"": ""S6"",
""volunteers"": [
""G"",
""M"",
""N""
]
},
{
""shift_id"": ""S7"",
""volunteers"": [
""A"",
""B"",
""F"",
""H""
]
},
{
""shift_id"": ""S8"",
""volunteers"": [
""I"",
""J"",
""L"",
""M"",
""O"",
""Q""
]
},
{
""shift_id"": ""S9"",
""volunteers"": [
""G"",
""J"",
""K"",
""L"",
""M"",
""N"",
""O""
]
},
{
""shift_id"": ""S10"",
""volunteers"": [
""I"",
""K"",
""L"",
""N"",
""O""
]
},
{
""shift_id"": ""S11"",
""volunteers"": [
""I"",
""J""
]
},
{
""shift_id"": ""S12"",
""volunteers"": [
""G"",
""J"",
""M"",
""N"",
""O"",
""P""
]
},
{
""shift_id"": ""S13"",
""volunteers"": [
""I"",
""K"",
""N""
]
},
{
""shift_id"": ""S14"",
""volunteers"": [
""E"",
""K"",
""M"",
""N"",
""O"",
""Q""
]
},
{
""shift_id"": ""S15"",
""volunteers"": [
""E"",
""I"",
""O"",
""P"",
""Q""
]
},
{
""shift_id"": ""S16"",
""volunteers"": [
""M"",
""N"",
""O"",
""P"",
""Q"",
""R""
]
},
{
""shift_id"": ""S17"",
""volunteers"": [
""M"",
""O"",
""Q"",
""R""
]
},
{
""shift_id"": ""S18"",
""volunteers"": [
""A"",
""B"",
""D"",
""S""
]
}
]
}
If you want to send back which shifts to keep, just give the answer in a tiny JSON snippet — nothing fancy. For this story I’ll sketch it like this:
{
""solution"": [""shift_id"", ...]
}
Here ""solution"" is the list of shift identifiers you want to keep open (one per selected shift). The example value ""shift_id"" is just a placeholder to show the shape — replace each placeholder with the actual shift id from the instance when you answer. The JSON is just a sketch of the expected shape, not the real selection.
Please make sure to use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 18, 'density': 0.23976608187134502, 'sets': [{'id': 1, 'elements': [1, 2, 3, 4, 8, 19]}, {'id': 2, 'elements': [1, 6, 19]}, {'id': 3, 'elements': [1, 2, 3, 8]}, {'id': 4, 'elements': [5, 15, 16]}, {'id': 5, 'elements': [2, 6, 7, 8, 14]}, {'id': 6, 'elements': [7, 13, 14]}, {'id': 7, 'elements': [1, 2, 6, 8]}, {'id': 8, 'elements': [9, 10, 12, 13, 15, 17]}, {'id': 9, 'elements': [7, 10, 11, 12, 13, 14, 15]}, {'id': 10, 'elements': [9, 11, 12, 14, 15]}, {'id': 11, 'elements': [9, 10]}, {'id': 12, 'elements': [7, 10, 13, 14, 15, 16]}, {'id': 13, 'elements': [9, 11, 14]}, {'id': 14, 'elements': [5, 11, 13, 14, 15, 17]}, {'id': 15, 'elements': [5, 9, 15, 16, 17]}, {'id': 16, 'elements': [13, 14, 15, 16, 17, 18]}, {'id': 17, 'elements': [13, 15, 17, 18]}, {'id': 18, 'elements': [1, 2, 4, 19]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 4, 'v': 1}, {'u': 5, 'v': 16}, {'u': 18, 'v': 17}, {'u': 19, 'v': 1}, {'u': 13, 'v': 14}, {'u': 13, 'v': 15}, {'u': 13, 'v': 17}, {'u': 14, 'v': 7}, {'u': 14, 'v': 10}, {'u': 15, 'v': 9}, {'u': 15, 'v': 16}, {'u': 15, 'v': 17}, {'u': 1, 'v': 2}, {'u': 2, 'v': 3}, {'u': 2, 'v': 8}, {'u': 6, 'v': 7}, {'u': 6, 'v': 8}, {'u': 9, 'v': 10}, {'u': 9, 'v': 11}, {'u': 10, 'v': 11}, {'u': 11, 'v': 12}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0011.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0011.png'}","[2, 4, 6, 11]",4.0,"{'num_elements': 19, 'num_sets': 18, 'sets': [{'id': 'S1', 'elements': ['A', 'B', 'C', 'D', 'H', 'S']}, {'id': 'S2', 'elements': ['A', 'F', 'S']}, {'id': 'S3', 'elements': ['A', 'B', 'C', 'H']}, {'id': 'S4', 'elements': ['E', 'O', 'P']}, {'id': 'S5', 'elements': ['B', 'F', 'G', 'H', 'N']}, {'id': 'S6', 'elements': ['G', 'M', 'N']}, {'id': 'S7', 'elements': ['A', 'B', 'F', 'H']}, {'id': 'S8', 'elements': ['I', 'J', 'L', 'M', 'O', 'Q']}, {'id': 'S9', 'elements': ['G', 'J', 'K', 'L', 'M', 'N', 'O']}, {'id': 'S10', 'elements': ['I', 'K', 'L', 'N', 'O']}, {'id': 'S11', 'elements': ['I', 'J']}, {'id': 'S12', 'elements': ['G', 'J', 'M', 'N', 'O', 'P']}, {'id': 'S13', 'elements': ['I', 'K', 'N']}, {'id': 'S14', 'elements': ['E', 'K', 'M', 'N', 'O', 'Q']}, {'id': 'S15', 'elements': ['E', 'I', 'O', 'P', 'Q']}, {'id': 'S16', 'elements': ['M', 'N', 'O', 'P', 'Q', 'R']}, {'id': 'S17', 'elements': ['M', 'O', 'Q', 'R']}, {'id': 'S18', 'elements': ['A', 'B', 'D', 'S']}]}","['S2', 'S4', 'S6', 'S11']",12,json,names
SP,SP,"There’s a curator trying to make the gallery look full by arranging as many mini exhibits as possible, but every mini exhibit is a fixed group of artifacts and no artifact is allowed to appear in more than one display. A good arrangement is judged by how many separate exhibits end up on the floor — simply tally the selected exhibits — and every selected exhibit must be complete and artifact-unique. The specific exhibit descriptions and their artifacts are shown below.
- **total_artifacts**: 23
- **total_mini_exhibits**: 23
| exhibit_id | exhibit_artifacts |
|---|---|
| S1 | 4 6 7 9 11 14 20 21 |
| S2 | 1 2 5 22 |
| S3 | 0 1 4 5 12 13 15 19 21 22 |
| S4 | 3 4 6 9 11 14 20 |
| S5 | 0 2 4 6 7 21 |
| S6 | 1 2 13 15 18 19 22 |
| S7 | 3 6 7 16 19 20 |
| S8 | 0 6 13 14 16 19 |
| S9 | 8 15 19 |
| S10 | 9 17 |
| S11 | 10 12 |
| S12 | 9 11 12 17 19 |
| S13 | 0 5 8 11 12 18 19 |
| S14 | 2 5 7 19 21 |
| S15 | 0 6 7 9 11 17 19 |
| S16 | 2 12 15 19 22 |
| S17 | 4 20 |
| S18 | 9 11 14 17 19 |
| S19 | 12 15 22 |
| S20 | 0 2 5 6 7 8 11 14 17 19 |
| S21 | 0 3 4 6 16 20 |
| S22 | 1 2 4 7 21 |
| S23 | 1 5 18 |
Oh — just put your final pick in a tiny JSON snippet like this so it's easy to check:
{
""solution"": [""set_id"", ...]
}
Think of ""solution"" as the list of exhibits you decided to put on the floor; each item in the array is the ID of one complete exhibit. This block is just the shape I want you to follow — it's a sketch, not the actual answer itself.
Please make sure to use the exhibit IDs exactly as they appear in the instance input — don't rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 23, 'num_sets': 23, 'density': 0.23440453686200377, 'sets': [{'id': 1, 'elements': [5, 7, 8, 10, 12, 15, 21, 22]}, {'id': 2, 'elements': [2, 3, 6, 23]}, {'id': 3, 'elements': [1, 2, 5, 6, 13, 14, 16, 20, 22, 23]}, {'id': 4, 'elements': [4, 5, 7, 10, 12, 15, 21]}, {'id': 5, 'elements': [1, 3, 5, 7, 8, 22]}, {'id': 6, 'elements': [2, 3, 14, 16, 19, 20, 23]}, {'id': 7, 'elements': [4, 7, 8, 17, 20, 21]}, {'id': 8, 'elements': [1, 7, 14, 15, 17, 20]}, {'id': 9, 'elements': [9, 16, 20]}, {'id': 10, 'elements': [10, 18]}, {'id': 11, 'elements': [11, 13]}, {'id': 12, 'elements': [10, 12, 13, 18, 20]}, {'id': 13, 'elements': [1, 6, 9, 12, 13, 19, 20]}, {'id': 14, 'elements': [3, 6, 8, 20, 22]}, {'id': 15, 'elements': [1, 7, 8, 10, 12, 18, 20]}, {'id': 16, 'elements': [3, 13, 16, 20, 23]}, {'id': 17, 'elements': [5, 21]}, {'id': 18, 'elements': [10, 12, 15, 18, 20]}, {'id': 19, 'elements': [13, 16, 23]}, {'id': 20, 'elements': [1, 3, 6, 7, 8, 9, 12, 15, 18, 20]}, {'id': 21, 'elements': [1, 4, 5, 7, 17, 21]}, {'id': 22, 'elements': [2, 3, 5, 8, 22]}, {'id': 23, 'elements': [2, 6, 19]}], 'graph': {'num_nodes': 23, 'edges': [{'u': 4, 'v': 7}, {'u': 4, 'v': 15}, {'u': 22, 'v': 8}, {'u': 22, 'v': 14}, {'u': 15, 'v': 1}, {'u': 15, 'v': 10}, {'u': 15, 'v': 12}, {'u': 6, 'v': 2}, {'u': 6, 'v': 3}, {'u': 6, 'v': 16}, {'u': 6, 'v': 23}, {'u': 7, 'v': 1}, {'u': 7, 'v': 5}, {'u': 7, 'v': 21}, {'u': 17, 'v': 5}, {'u': 17, 'v': 21}, {'u': 20, 'v': 1}, {'u': 20, 'v': 3}, {'u': 20, 'v': 12}, {'u': 20, 'v': 13}, {'u': 10, 'v': 18}, {'u': 14, 'v': 2}, {'u': 14, 'v': 3}, {'u': 23, 'v': 19}, {'u': 8, 'v': 1}, {'u': 8, 'v': 3}, {'u': 8, 'v': 5}, {'u': 19, 'v': 16}, {'u': 16, 'v': 13}, {'u': 12, 'v': 18}, {'u': 13, 'v': 9}, {'u': 11, 'v': 9}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0012.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0012.png'}","[9, 10, 11, 17, 23]",5.0,"{'num_elements': 23, 'num_sets': 23, 'sets': [{'id': 'S1', 'elements': [4, 6, 7, 9, 11, 14, 20, 21]}, {'id': 'S2', 'elements': [1, 2, 5, 22]}, {'id': 'S3', 'elements': [0, 1, 4, 5, 12, 13, 15, 19, 21, 22]}, {'id': 'S4', 'elements': [3, 4, 6, 9, 11, 14, 20]}, {'id': 'S5', 'elements': [0, 2, 4, 6, 7, 21]}, {'id': 'S6', 'elements': [1, 2, 13, 15, 18, 19, 22]}, {'id': 'S7', 'elements': [3, 6, 7, 16, 19, 20]}, {'id': 'S8', 'elements': [0, 6, 13, 14, 16, 19]}, {'id': 'S9', 'elements': [8, 15, 19]}, {'id': 'S10', 'elements': [9, 17]}, {'id': 'S11', 'elements': [10, 12]}, {'id': 'S12', 'elements': [9, 11, 12, 17, 19]}, {'id': 'S13', 'elements': [0, 5, 8, 11, 12, 18, 19]}, {'id': 'S14', 'elements': [2, 5, 7, 19, 21]}, {'id': 'S15', 'elements': [0, 6, 7, 9, 11, 17, 19]}, {'id': 'S16', 'elements': [2, 12, 15, 19, 22]}, {'id': 'S17', 'elements': [4, 20]}, {'id': 'S18', 'elements': [9, 11, 14, 17, 19]}, {'id': 'S19', 'elements': [12, 15, 22]}, {'id': 'S20', 'elements': [0, 2, 5, 6, 7, 8, 11, 14, 17, 19]}, {'id': 'S21', 'elements': [0, 3, 4, 6, 16, 20]}, {'id': 'S22', 'elements': [1, 2, 4, 7, 21]}, {'id': 'S23', 'elements': [1, 5, 18]}]}","['S9', 'S10', 'S11', 'S17', 'S23']",13,markdown_table,0
SP,SP,"Many people on the organizing committee are juggling overlapping workshop proposals, each with its own speaker list. The goal is to fit in the largest number of workshops they can — a better schedule is the one with a higher headcount of selected workshops, determined by a straight count. To keep things realistic, nobody listed as a speaker can be put into more than one of the workshops that get picked. The concrete details are shown below.
There are 22 distinct speakers in total and 20 workshop proposals available.
Workshop S1 lists the speakers: 0 1 2 4 12.
Workshop S2 lists the speakers: 0 1 2 3 4 5 12 13.
Workshop S3 lists the speakers: 2 3 4.
Workshop S4 lists the speakers: 1 2 3 4 5 13.
Workshop S5 lists the speakers: 2 3 4 5.
Workshop S6 lists the speakers: 6 7 8.
Workshop S7 lists the speakers: 6 7 11.
Workshop S8 lists the speakers: 9 12 13 16 20 21.
Workshop S9 lists the speakers: 6 7 11 13.
Workshop S10 lists the speakers: 7 8 10 14 20.
Workshop S11 lists the speakers: 2 9 11 12 14 17 20.
Workshop S12 lists the speakers: 0 1 4 13.
Workshop S13 lists the speakers: 6 8 10 11 14 20.
Workshop S14 lists the speakers: 16 18.
Workshop S15 lists the speakers: 16 17 18 19.
Workshop S16 lists the speakers: 9 12 15 17 18 19.
Workshop S17 lists the speakers: 15 17 18 19.
Workshop S18 lists the speakers: 15 16 19.
Workshop S19 lists the speakers: 9 12 14 17.
Workshop S20 lists the speakers: 10 21.
Selections should maximize the number of workshops chosen while ensuring no speaker appears in more than one selected workshop.
Also, when you send back which workshops made the cut, a tiny JSON snippet like this is perfect:
{
""solution"": [""workshop_id"", ...]
}
Here ""solution"" is just the list of the chosen workshop IDs (one string per workshop). The ""workshop_id"" text in the example is only a placeholder showing the format — in your actual reply replace those placeholders with the real IDs from the instance. This JSON is just the expected shape, not the actual answer.
Please be sure to use the identifiers exactly as they appear in the instance input — do not rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 22, 'num_sets': 20, 'density': 0.20227272727272727, 'sets': [{'id': 1, 'elements': [1, 2, 3, 5, 13]}, {'id': 2, 'elements': [1, 2, 3, 4, 5, 6, 13, 14]}, {'id': 3, 'elements': [3, 4, 5]}, {'id': 4, 'elements': [2, 3, 4, 5, 6, 14]}, {'id': 5, 'elements': [3, 4, 5, 6]}, {'id': 6, 'elements': [7, 8, 9]}, {'id': 7, 'elements': [7, 8, 12]}, {'id': 8, 'elements': [10, 13, 14, 17, 21, 22]}, {'id': 9, 'elements': [7, 8, 12, 14]}, {'id': 10, 'elements': [8, 9, 11, 15, 21]}, {'id': 11, 'elements': [3, 10, 12, 13, 15, 18, 21]}, {'id': 12, 'elements': [1, 2, 5, 14]}, {'id': 13, 'elements': [7, 9, 11, 12, 15, 21]}, {'id': 14, 'elements': [17, 19]}, {'id': 15, 'elements': [17, 18, 19, 20]}, {'id': 16, 'elements': [10, 13, 16, 18, 19, 20]}, {'id': 17, 'elements': [16, 18, 19, 20]}, {'id': 18, 'elements': [16, 17, 20]}, {'id': 19, 'elements': [10, 13, 15, 18]}, {'id': 20, 'elements': [11, 22]}], 'graph': {'num_nodes': 22, 'edges': [{'u': 2, 'v': 1}, {'u': 2, 'v': 3}, {'u': 2, 'v': 14}, {'u': 7, 'v': 9}, {'u': 7, 'v': 15}, {'u': 19, 'v': 16}, {'u': 19, 'v': 17}, {'u': 19, 'v': 18}, {'u': 19, 'v': 20}, {'u': 20, 'v': 16}, {'u': 21, 'v': 10}, {'u': 21, 'v': 11}, {'u': 21, 'v': 22}, {'u': 8, 'v': 9}, {'u': 8, 'v': 12}, {'u': 4, 'v': 5}, {'u': 5, 'v': 3}, {'u': 5, 'v': 6}, {'u': 10, 'v': 13}, {'u': 10, 'v': 18}, {'u': 11, 'v': 12}, {'u': 11, 'v': 13}, {'u': 11, 'v': 15}, {'u': 13, 'v': 14}, {'u': 14, 'v': 3}, {'u': 17, 'v': 18}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0013.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0013.png'}","[3, 7, 14, 19, 20]",5.0,"{'num_elements': 22, 'num_sets': 20, 'sets': [{'id': 'S1', 'elements': [0, 1, 2, 4, 12]}, {'id': 'S2', 'elements': [0, 1, 2, 3, 4, 5, 12, 13]}, {'id': 'S3', 'elements': [2, 3, 4]}, {'id': 'S4', 'elements': [1, 2, 3, 4, 5, 13]}, {'id': 'S5', 'elements': [2, 3, 4, 5]}, {'id': 'S6', 'elements': [6, 7, 8]}, {'id': 'S7', 'elements': [6, 7, 11]}, {'id': 'S8', 'elements': [9, 12, 13, 16, 20, 21]}, {'id': 'S9', 'elements': [6, 7, 11, 13]}, {'id': 'S10', 'elements': [7, 8, 10, 14, 20]}, {'id': 'S11', 'elements': [2, 9, 11, 12, 14, 17, 20]}, {'id': 'S12', 'elements': [0, 1, 4, 13]}, {'id': 'S13', 'elements': [6, 8, 10, 11, 14, 20]}, {'id': 'S14', 'elements': [16, 18]}, {'id': 'S15', 'elements': [16, 17, 18, 19]}, {'id': 'S16', 'elements': [9, 12, 15, 17, 18, 19]}, {'id': 'S17', 'elements': [15, 17, 18, 19]}, {'id': 'S18', 'elements': [15, 16, 19]}, {'id': 'S19', 'elements': [9, 12, 14, 17]}, {'id': 'S20', 'elements': [10, 21]}]}","['S3', 'S7', 'S14', 'S19', 'S20']",14,nl,0
SP,SP,"I was helping a car rental specialist figure out which tour bundles to offer so the shop can sell as many different packages as possible. The decision is which specific tour packages to pick from the list, and “better” means the shop ends up with a bigger count of bundles ready to sell — you can measure success simply by counting how many bundles are chosen. The catch is that no vehicle can show up in two different selected bundles, so each chosen package has to rely on a distinct set of cars. The exact list of packages and which vehicles they use is shown below.
I counted 19 distinct vehicles and 18 packages.
Package S1 uses vehicles 0 4 13.
Package S2 uses vehicles 1 3 14.
Package S3 uses vehicles 2 7 9 15 17.
Package S4 uses vehicles 1 3 4 8 12 14.
Package S5 uses vehicles 6 13.
Package S6 uses vehicles 5 8 14.
Package S7 uses vehicles 4 8 10 11 14.
Package S8 uses vehicles 4 14 16.
Package S9 uses vehicles 2 7 8 9 16.
Package S10 uses vehicles 6 10 14.
Package S11 uses vehicles 6 10 11 14.
Package S12 uses vehicles 3 12.
Package S13 uses vehicles 0 13 14.
Package S14 uses vehicles 1 3 4 5 6 10 13 16.
Package S15 uses vehicles 2 9 17.
Package S16 uses vehicles 2 8 9 14 16 17.
Package S17 uses vehicles 2 7 9 15 16 17.
Package S18 uses vehicles 1 18.
I'll use this list to pick as many non-overlapping packages as possible.
When I give the final selection I'll drop it into a tiny JSON snippet so it's easy to read and copy, something like this:
{
""solution"": [""bundle_id"", ...]
}
Here ""solution"" is just a list of the tour package IDs you should offer — each entry is the exact package identifier from the list above. Think of it like filling in a simple form: one array, many chosen package IDs.
This JSON is only a sketch of the expected shape, not the real answer.
Please make sure to use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 18, 'density': 0.21052631578947367, 'sets': [{'id': 1, 'elements': [1, 5, 14]}, {'id': 2, 'elements': [2, 4, 15]}, {'id': 3, 'elements': [3, 8, 10, 16, 18]}, {'id': 4, 'elements': [2, 4, 5, 9, 13, 15]}, {'id': 5, 'elements': [7, 14]}, {'id': 6, 'elements': [6, 9, 15]}, {'id': 7, 'elements': [5, 9, 11, 12, 15]}, {'id': 8, 'elements': [5, 15, 17]}, {'id': 9, 'elements': [3, 8, 9, 10, 17]}, {'id': 10, 'elements': [7, 11, 15]}, {'id': 11, 'elements': [7, 11, 12, 15]}, {'id': 12, 'elements': [4, 13]}, {'id': 13, 'elements': [1, 14, 15]}, {'id': 14, 'elements': [2, 4, 5, 6, 7, 11, 14, 17]}, {'id': 15, 'elements': [3, 10, 18]}, {'id': 16, 'elements': [3, 9, 10, 15, 17, 18]}, {'id': 17, 'elements': [3, 8, 10, 16, 17, 18]}, {'id': 18, 'elements': [2, 19]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 15, 'v': 4}, {'u': 15, 'v': 5}, {'u': 15, 'v': 7}, {'u': 15, 'v': 9}, {'u': 2, 'v': 4}, {'u': 2, 'v': 13}, {'u': 19, 'v': 4}, {'u': 12, 'v': 7}, {'u': 3, 'v': 10}, {'u': 3, 'v': 16}, {'u': 16, 'v': 8}, {'u': 9, 'v': 6}, {'u': 9, 'v': 17}, {'u': 7, 'v': 11}, {'u': 1, 'v': 14}, {'u': 14, 'v': 5}, {'u': 17, 'v': 10}, {'u': 8, 'v': 18}, {'u': 10, 'v': 18}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0014.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0014.png'}","[1, 6, 12, 15, 18]",5.0,"{'num_elements': 19, 'num_sets': 18, 'sets': [{'id': 'S1', 'elements': [0, 4, 13]}, {'id': 'S2', 'elements': [1, 3, 14]}, {'id': 'S3', 'elements': [2, 7, 9, 15, 17]}, {'id': 'S4', 'elements': [1, 3, 4, 8, 12, 14]}, {'id': 'S5', 'elements': [6, 13]}, {'id': 'S6', 'elements': [5, 8, 14]}, {'id': 'S7', 'elements': [4, 8, 10, 11, 14]}, {'id': 'S8', 'elements': [4, 14, 16]}, {'id': 'S9', 'elements': [2, 7, 8, 9, 16]}, {'id': 'S10', 'elements': [6, 10, 14]}, {'id': 'S11', 'elements': [6, 10, 11, 14]}, {'id': 'S12', 'elements': [3, 12]}, {'id': 'S13', 'elements': [0, 13, 14]}, {'id': 'S14', 'elements': [1, 3, 4, 5, 6, 10, 13, 16]}, {'id': 'S15', 'elements': [2, 9, 17]}, {'id': 'S16', 'elements': [2, 8, 9, 14, 16, 17]}, {'id': 'S17', 'elements': [2, 7, 9, 15, 16, 17]}, {'id': 'S18', 'elements': [1, 18]}]}","['S1', 'S6', 'S12', 'S15', 'S18']",15,nl,0
SP,SP,"I run a small tutoring service and my job is to pick which group lessons to hold each week. The choice is simple: try to fit in as many of those proposed sessions as possible, but never schedule two sessions that include the same student — each student can only show up to one of the chosen sessions. A better plan is just the one with more sessions happening, and success is measured by counting how many sessions got scheduled. The exact list of session options and which students would attend each is shown below.
I have 17 proposed sessions that together involve 19 distinct students; the list follows.
Session S1: students 0 6 10 14 17.
Session S2: students 3 8 9 14 15 16 17.
Session S3: students 2 18.
Session S4: students 7 13 15.
Session S5: students 2 4 16.
Session S6: students 6 9 14.
Session S7: students 7 13.
Session S8: students 3 4 8 16 17.
Session S9: students 5 9 14.
Session S10: students 0 12 14 17.
Session S11: students 3 7 11 13.
Session S12: students 10 12 14.
Session S13: students 9 12 17.
Session S14: students 1 7 8 15 17.
Session S15: students 1 2 4 8 15 16.
Session S16: students 0 1 8 9 10 14 15 17.
Session S17: students 4 16 18.
I'll try to schedule as many of these 17 sessions as I can without double-booking any of the 19 students.
Oh, and when you send back the chosen sessions, just stick to a tiny JSON shape so it's easy to read by whatever I'm using to collect schedules. Something like this will do:
{
""solution"": [""session_id"", ...]
}
Here ""solution"" is the list of the session identifiers you want to run this week — each entry is one session to schedule. Think of it like filling out a simple form: put the exact IDs of the sessions you pick into that array. This is just a sketch of the shape I need, not the final answer itself.
Please use the exact identifiers from the instance input — no renaming and no new labels. For example:
- Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 17, 'density': 0.21362229102167182, 'sets': [{'id': 1, 'elements': [1, 7, 11, 15, 18]}, {'id': 2, 'elements': [4, 9, 10, 15, 16, 17, 18]}, {'id': 3, 'elements': [3, 19]}, {'id': 4, 'elements': [8, 14, 16]}, {'id': 5, 'elements': [3, 5, 17]}, {'id': 6, 'elements': [7, 10, 15]}, {'id': 7, 'elements': [8, 14]}, {'id': 8, 'elements': [4, 5, 9, 17, 18]}, {'id': 9, 'elements': [6, 10, 15]}, {'id': 10, 'elements': [1, 13, 15, 18]}, {'id': 11, 'elements': [4, 8, 12, 14]}, {'id': 12, 'elements': [11, 13, 15]}, {'id': 13, 'elements': [10, 13, 18]}, {'id': 14, 'elements': [2, 8, 9, 16, 18]}, {'id': 15, 'elements': [2, 3, 5, 9, 16, 17]}, {'id': 16, 'elements': [1, 2, 9, 10, 11, 15, 16, 18]}, {'id': 17, 'elements': [5, 17, 19]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 3, 'v': 5}, {'u': 17, 'v': 5}, {'u': 17, 'v': 9}, {'u': 11, 'v': 13}, {'u': 11, 'v': 15}, {'u': 16, 'v': 2}, {'u': 16, 'v': 4}, {'u': 16, 'v': 9}, {'u': 6, 'v': 10}, {'u': 7, 'v': 1}, {'u': 8, 'v': 4}, {'u': 8, 'v': 12}, {'u': 8, 'v': 14}, {'u': 19, 'v': 5}, {'u': 10, 'v': 1}, {'u': 10, 'v': 18}, {'u': 1, 'v': 15}, {'u': 2, 'v': 9}, {'u': 2, 'v': 18}, {'u': 18, 'v': 15}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0015.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0015.png'}","[3, 7, 8, 9]",4.0,"{'num_elements': 19, 'num_sets': 17, 'sets': [{'id': 'S1', 'elements': [0, 6, 10, 14, 17]}, {'id': 'S2', 'elements': [3, 8, 9, 14, 15, 16, 17]}, {'id': 'S3', 'elements': [2, 18]}, {'id': 'S4', 'elements': [7, 13, 15]}, {'id': 'S5', 'elements': [2, 4, 16]}, {'id': 'S6', 'elements': [6, 9, 14]}, {'id': 'S7', 'elements': [7, 13]}, {'id': 'S8', 'elements': [3, 4, 8, 16, 17]}, {'id': 'S9', 'elements': [5, 9, 14]}, {'id': 'S10', 'elements': [0, 12, 14, 17]}, {'id': 'S11', 'elements': [3, 7, 11, 13]}, {'id': 'S12', 'elements': [10, 12, 14]}, {'id': 'S13', 'elements': [9, 12, 17]}, {'id': 'S14', 'elements': [1, 7, 8, 15, 17]}, {'id': 'S15', 'elements': [1, 2, 4, 8, 15, 16]}, {'id': 'S16', 'elements': [0, 1, 8, 9, 10, 14, 15, 17]}, {'id': 'S17', 'elements': [4, 16, 18]}]}","['S3', 'S7', 'S8', 'S9']",16,nl,0
SP,SP,"On Monday the supervisor left a binder of experimental configurations and asked for the maximum number of them to be prepared for use. Every configuration specifies what instruments it needs, and instruments can’t be shared across selected configurations — each chosen configuration must have exclusive use of its items and be fully assembled. One selection beats another if it results in a greater number of complete configurations; to judge that, simply count how many configurations are ready. The binder’s exact configuration details are provided below.
There are 19 configurations in the binder and 19 distinct instruments available.
Configuration S1 requires instruments 0 1 4 7 10 14.
Configuration S2 requires instruments 0 5 7.
Configuration S3 requires instruments 13 15.
Configuration S4 requires instruments 3 11.
Configuration S5 requires instruments 6 10 13 14 16.
Configuration S6 requires instruments 0 1 5 12 18.
Configuration S7 requires instruments 0 11 13 15.
Configuration S8 requires instruments 0 7 9 16.
Configuration S9 requires instruments 0 1 5 8.
Configuration S10 requires instruments 1 7 9.
Configuration S11 requires instruments 0 4 10 14 17.
Configuration S12 requires instruments 6 11 13.
Configuration S13 requires instruments 12 13 14 18.
Configuration S14 requires instruments 6 11 12 15 18.
Configuration S15 requires instruments 1 4 8 9 10 12 16.
Configuration S16 requires instruments 2 11 13 15 18.
Configuration S17 requires instruments 7 14.
Configuration S18 requires instruments 0 17.
Configuration S19 requires instruments 6 11 12 13 15 18.
The lines below enumerate each configuration; count completed configurations to determine the maximum prepared.
Also, when you send back which configurations to prepare, just follow this simple JSON layout — nothing fancy:
{
""solution"": [""config_id"", ...]
}
Here ""solution"" is the list (an array) of configuration IDs you want prepared. The example entry ""config_id"" is just a placeholder for a single configuration identifier from the binder. Think of it like filling out a short form: list each chosen configuration's ID inside that array. This JSON is only a sketch of the shape I expect, not the actual answer.
Make sure you use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 19, 'density': 0.21329639889196675, 'sets': [{'id': 1, 'elements': [1, 2, 5, 8, 11, 15]}, {'id': 2, 'elements': [1, 6, 8]}, {'id': 3, 'elements': [14, 16]}, {'id': 4, 'elements': [4, 12]}, {'id': 5, 'elements': [7, 11, 14, 15, 17]}, {'id': 6, 'elements': [1, 2, 6, 13, 19]}, {'id': 7, 'elements': [1, 12, 14, 16]}, {'id': 8, 'elements': [1, 8, 10, 17]}, {'id': 9, 'elements': [1, 2, 6, 9]}, {'id': 10, 'elements': [2, 8, 10]}, {'id': 11, 'elements': [1, 5, 11, 15, 18]}, {'id': 12, 'elements': [7, 12, 14]}, {'id': 13, 'elements': [13, 14, 15, 19]}, {'id': 14, 'elements': [7, 12, 13, 16, 19]}, {'id': 15, 'elements': [2, 5, 9, 10, 11, 13, 17]}, {'id': 16, 'elements': [3, 12, 14, 16, 19]}, {'id': 17, 'elements': [8, 15]}, {'id': 18, 'elements': [1, 18]}, {'id': 19, 'elements': [7, 12, 13, 14, 16, 19]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 14, 'v': 7}, {'u': 14, 'v': 12}, {'u': 14, 'v': 16}, {'u': 14, 'v': 19}, {'u': 16, 'v': 3}, {'u': 10, 'v': 2}, {'u': 10, 'v': 8}, {'u': 4, 'v': 12}, {'u': 17, 'v': 1}, {'u': 17, 'v': 8}, {'u': 18, 'v': 11}, {'u': 7, 'v': 5}, {'u': 11, 'v': 1}, {'u': 1, 'v': 5}, {'u': 1, 'v': 15}, {'u': 2, 'v': 15}, {'u': 19, 'v': 13}, {'u': 15, 'v': 6}, {'u': 15, 'v': 9}, {'u': 13, 'v': 6}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0016.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0016.png'}","[3, 4, 15, 17, 18]",5.0,"{'num_elements': 19, 'num_sets': 19, 'sets': [{'id': 'S1', 'elements': [0, 1, 4, 7, 10, 14]}, {'id': 'S2', 'elements': [0, 5, 7]}, {'id': 'S3', 'elements': [13, 15]}, {'id': 'S4', 'elements': [3, 11]}, {'id': 'S5', 'elements': [6, 10, 13, 14, 16]}, {'id': 'S6', 'elements': [0, 1, 5, 12, 18]}, {'id': 'S7', 'elements': [0, 11, 13, 15]}, {'id': 'S8', 'elements': [0, 7, 9, 16]}, {'id': 'S9', 'elements': [0, 1, 5, 8]}, {'id': 'S10', 'elements': [1, 7, 9]}, {'id': 'S11', 'elements': [0, 4, 10, 14, 17]}, {'id': 'S12', 'elements': [6, 11, 13]}, {'id': 'S13', 'elements': [12, 13, 14, 18]}, {'id': 'S14', 'elements': [6, 11, 12, 15, 18]}, {'id': 'S15', 'elements': [1, 4, 8, 9, 10, 12, 16]}, {'id': 'S16', 'elements': [2, 11, 13, 15, 18]}, {'id': 'S17', 'elements': [7, 14]}, {'id': 'S18', 'elements': [0, 17]}, {'id': 'S19', 'elements': [6, 11, 12, 13, 15, 18]}]}","['S3', 'S4', 'S15', 'S17', 'S18']",17,nl,0
SP,SP,"Someone at the festival office is sorting through block proposals and wants to lock in the largest possible set of blocks for the week. They can pick any of the ready blocks, but they must avoid picking two blocks that share the same film — a film can’t be scheduled twice. The quality of a plan is just how many blocks it contains, so just count selected blocks to compare options. The full list of blocks and films appears below.
{
""num_films_total"": 20,
""num_blocks_available"": 18,
""sets"": [
{
""block_id"": ""S1"",
""films_in_block"": [
0,
3,
10,
19
]
},
{
""block_id"": ""S2"",
""films_in_block"": [
1,
2,
5,
13
]
},
{
""block_id"": ""S3"",
""films_in_block"": [
1,
2,
5,
11,
17
]
},
{
""block_id"": ""S4"",
""films_in_block"": [
0,
19
]
},
{
""block_id"": ""S5"",
""films_in_block"": [
1,
2,
4,
7,
11,
13,
17
]
},
{
""block_id"": ""S6"",
""films_in_block"": [
1,
2,
5
]
},
{
""block_id"": ""S7"",
""films_in_block"": [
6,
9,
12,
16
]
},
{
""block_id"": ""S8"",
""films_in_block"": [
4,
5,
8,
10,
12,
15
]
},
{
""block_id"": ""S9"",
""films_in_block"": [
6,
9,
10,
12,
15,
16,
19
]
},
{
""block_id"": ""S10"",
""films_in_block"": [
0,
3,
8,
10,
12,
14,
18,
19
]
},
{
""block_id"": ""S11"",
""films_in_block"": [
2,
4,
11,
17
]
},
{
""block_id"": ""S12"",
""films_in_block"": [
6,
10,
16
]
},
{
""block_id"": ""S13"",
""films_in_block"": [
1,
4,
7,
13
]
},
{
""block_id"": ""S14"",
""films_in_block"": [
9,
10,
18,
19
]
},
{
""block_id"": ""S15"",
""films_in_block"": [
5,
8,
9,
15
]
},
{
""block_id"": ""S16"",
""films_in_block"": [
6,
9,
16
]
},
{
""block_id"": ""S17"",
""films_in_block"": [
10,
14,
18
]
},
{
""block_id"": ""S18"",
""films_in_block"": [
0,
9,
14
]
}
]
}
When you’re ready, just drop the chosen block IDs into a tiny JSON object like this — super simple, just a list of the blocks you want to lock in.
{
""solution"": [""block_id"", ...]
}
""solution"" is just the list of selected block identifiers (one per chosen block). Think of it like filling in a short form: put each block’s exact ID in that array. This JSON is just a sketch of the shape I need, not the final selection itself.
Please use the identifiers exactly as they appear in the instance input — don’t rename them or invent new labels.
- ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 20, 'num_sets': 18, 'density': 0.21666666666666667, 'sets': [{'id': 1, 'elements': [1, 4, 11, 20]}, {'id': 2, 'elements': [2, 3, 6, 14]}, {'id': 3, 'elements': [2, 3, 6, 12, 18]}, {'id': 4, 'elements': [1, 20]}, {'id': 5, 'elements': [2, 3, 5, 8, 12, 14, 18]}, {'id': 6, 'elements': [2, 3, 6]}, {'id': 7, 'elements': [7, 10, 13, 17]}, {'id': 8, 'elements': [5, 6, 9, 11, 13, 16]}, {'id': 9, 'elements': [7, 10, 11, 13, 16, 17, 20]}, {'id': 10, 'elements': [1, 4, 9, 11, 13, 15, 19, 20]}, {'id': 11, 'elements': [3, 5, 12, 18]}, {'id': 12, 'elements': [7, 11, 17]}, {'id': 13, 'elements': [2, 5, 8, 14]}, {'id': 14, 'elements': [10, 11, 19, 20]}, {'id': 15, 'elements': [6, 9, 10, 16]}, {'id': 16, 'elements': [7, 10, 17]}, {'id': 17, 'elements': [11, 15, 19]}, {'id': 18, 'elements': [1, 10, 15]}], 'graph': {'num_nodes': 20, 'edges': [{'u': 2, 'v': 5}, {'u': 2, 'v': 8}, {'u': 2, 'v': 14}, {'u': 5, 'v': 3}, {'u': 5, 'v': 6}, {'u': 6, 'v': 9}, {'u': 1, 'v': 20}, {'u': 20, 'v': 4}, {'u': 20, 'v': 11}, {'u': 12, 'v': 3}, {'u': 7, 'v': 13}, {'u': 3, 'v': 18}, {'u': 15, 'v': 11}, {'u': 15, 'v': 19}, {'u': 16, 'v': 9}, {'u': 9, 'v': 10}, {'u': 11, 'v': 10}, {'u': 17, 'v': 13}, {'u': 13, 'v': 10}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0017.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0017.png'}","[4, 13, 15, 17]",4.0,"{'num_elements': 20, 'num_sets': 18, 'sets': [{'id': 'S1', 'elements': [0, 3, 10, 19]}, {'id': 'S2', 'elements': [1, 2, 5, 13]}, {'id': 'S3', 'elements': [1, 2, 5, 11, 17]}, {'id': 'S4', 'elements': [0, 19]}, {'id': 'S5', 'elements': [1, 2, 4, 7, 11, 13, 17]}, {'id': 'S6', 'elements': [1, 2, 5]}, {'id': 'S7', 'elements': [6, 9, 12, 16]}, {'id': 'S8', 'elements': [4, 5, 8, 10, 12, 15]}, {'id': 'S9', 'elements': [6, 9, 10, 12, 15, 16, 19]}, {'id': 'S10', 'elements': [0, 3, 8, 10, 12, 14, 18, 19]}, {'id': 'S11', 'elements': [2, 4, 11, 17]}, {'id': 'S12', 'elements': [6, 10, 16]}, {'id': 'S13', 'elements': [1, 4, 7, 13]}, {'id': 'S14', 'elements': [9, 10, 18, 19]}, {'id': 'S15', 'elements': [5, 8, 9, 15]}, {'id': 'S16', 'elements': [6, 9, 16]}, {'id': 'S17', 'elements': [10, 14, 18]}, {'id': 'S18', 'elements': [0, 9, 14]}]}","['S4', 'S13', 'S15', 'S17']",18,json,0
SP,SP,"On Saturday the parent wanted to hand out as many picnic baskets as possible to neighbors, but insisted that no food item be duplicated across the baskets that are actually given away. A better plan is the one that results in a greater number of baskets ready to go — the outcome is measured by counting those non-repeating baskets. The full details of each possible basket and its contents are listed below.
- **total_unique_food_items**: 20
- **total_baskets_available**: 19
| basket_id | food_items |
|---|---|
| S1 | 0 5 8 16 |
| S2 | 1 6 11 |
| S3 | 2 3 6 8 12 14 15 17 18 19 |
| S4 | 2 3 11 14 15 18 |
| S5 | 9 12 |
| S6 | 0 5 8 13 15 |
| S7 | 1 2 6 10 |
| S8 | 7 18 19 |
| S9 | 2 8 12 16 |
| S10 | 4 9 12 13 |
| S11 | 6 10 11 14 |
| S12 | 1 3 6 10 14 |
| S13 | 4 6 8 9 15 |
| S14 | 4 13 16 |
| S15 | 10 14 |
| S16 | 2 3 5 6 8 9 10 12 15 |
| S17 | 0 5 16 |
| S18 | 3 14 17 |
| S19 | 2 3 7 15 18 |
If you want to reply with the chosen baskets, a small JSON snippet like this works nicely — just put the IDs of the baskets you’d hand out in the list:
{
""solution"": [""basket_id"", ...]
}
Here ""solution"" is the list of ready-to-go picnic baskets, and each ""basket_id"" is a placeholder for the exact basket identifier from the instance. Think of it like filling out a short form: list the baskets you’re actually giving, one ID per entry. This JSON is only a sketch of the shape I’m expecting, not the final answer itself.
Please use the exact identifiers from the problem instance — don’t rename them and don’t invent new labels. For example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 20, 'num_sets': 19, 'density': 0.22105263157894736, 'sets': [{'id': 1, 'elements': [1, 6, 9, 17]}, {'id': 2, 'elements': [2, 7, 12]}, {'id': 3, 'elements': [3, 4, 7, 9, 13, 15, 16, 18, 19, 20]}, {'id': 4, 'elements': [3, 4, 12, 15, 16, 19]}, {'id': 5, 'elements': [10, 13]}, {'id': 6, 'elements': [1, 6, 9, 14, 16]}, {'id': 7, 'elements': [2, 3, 7, 11]}, {'id': 8, 'elements': [8, 19, 20]}, {'id': 9, 'elements': [3, 9, 13, 17]}, {'id': 10, 'elements': [5, 10, 13, 14]}, {'id': 11, 'elements': [7, 11, 12, 15]}, {'id': 12, 'elements': [2, 4, 7, 11, 15]}, {'id': 13, 'elements': [5, 7, 9, 10, 16]}, {'id': 14, 'elements': [5, 14, 17]}, {'id': 15, 'elements': [11, 15]}, {'id': 16, 'elements': [3, 4, 6, 7, 9, 10, 11, 13, 16]}, {'id': 17, 'elements': [1, 6, 17]}, {'id': 18, 'elements': [4, 15, 18]}, {'id': 19, 'elements': [3, 4, 8, 16, 19]}], 'graph': {'num_nodes': 20, 'edges': [{'u': 17, 'v': 6}, {'u': 17, 'v': 14}, {'u': 7, 'v': 11}, {'u': 7, 'v': 16}, {'u': 18, 'v': 4}, {'u': 6, 'v': 1}, {'u': 6, 'v': 9}, {'u': 9, 'v': 16}, {'u': 5, 'v': 10}, {'u': 5, 'v': 14}, {'u': 10, 'v': 13}, {'u': 13, 'v': 16}, {'u': 2, 'v': 11}, {'u': 15, 'v': 4}, {'u': 15, 'v': 12}, {'u': 11, 'v': 12}, {'u': 3, 'v': 4}, {'u': 3, 'v': 16}, {'u': 3, 'v': 19}, {'u': 19, 'v': 8}, {'u': 19, 'v': 20}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0018.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0018.png'}","[2, 5, 8, 17, 18]",5.0,"{'num_elements': 20, 'num_sets': 19, 'sets': [{'id': 'S1', 'elements': [0, 5, 8, 16]}, {'id': 'S2', 'elements': [1, 6, 11]}, {'id': 'S3', 'elements': [2, 3, 6, 8, 12, 14, 15, 17, 18, 19]}, {'id': 'S4', 'elements': [2, 3, 11, 14, 15, 18]}, {'id': 'S5', 'elements': [9, 12]}, {'id': 'S6', 'elements': [0, 5, 8, 13, 15]}, {'id': 'S7', 'elements': [1, 2, 6, 10]}, {'id': 'S8', 'elements': [7, 18, 19]}, {'id': 'S9', 'elements': [2, 8, 12, 16]}, {'id': 'S10', 'elements': [4, 9, 12, 13]}, {'id': 'S11', 'elements': [6, 10, 11, 14]}, {'id': 'S12', 'elements': [1, 3, 6, 10, 14]}, {'id': 'S13', 'elements': [4, 6, 8, 9, 15]}, {'id': 'S14', 'elements': [4, 13, 16]}, {'id': 'S15', 'elements': [10, 14]}, {'id': 'S16', 'elements': [2, 3, 5, 6, 8, 9, 10, 12, 15]}, {'id': 'S17', 'elements': [0, 5, 16]}, {'id': 'S18', 'elements': [3, 14, 17]}, {'id': 'S19', 'elements': [2, 3, 7, 15, 18]}]}","['S2', 'S5', 'S8', 'S17', 'S18']",19,markdown_table,0
SP,SP,"Someone running a boutique asked for help arranging window scenes—her brief is brief: create as many unique displays as possible while never putting the same item (bag, bracelet, hat, etc.) into two different windows. So the choice is which display proposals to use so they don’t overlap in accessories; the better choice is the one that gives the biggest count of chosen windows, and you figure that out simply by tallying them. The specific proposals and what each contains are listed below.
- **total_accessories**: 23
- **total_display_proposals**: 21
| display_id | accessories |
|---|---|
| S1 | 1 2 9 10 18 23 |
| S2 | 1 2 9 10 14 18 |
| S3 | 3 5 14 |
| S4 | 3 4 5 |
| S5 | 3 4 5 14 18 20 |
| S6 | 8 21 |
| S7 | 7 8 11 21 22 |
| S8 | 6 8 |
| S9 | 1 9 23 |
| S10 | 1 2 18 |
| S11 | 7 11 21 22 |
| S12 | 12 15 16 |
| S13 | 2 5 14 18 19 20 |
| S14 | 7 11 12 15 16 17 19 |
| S15 | 15 17 21 |
| S16 | 13 21 |
| S17 | 2 5 10 13 14 17 18 19 |
| S18 | 2 15 17 18 19 |
| S19 | 3 5 14 20 |
| S20 | 6 7 11 15 16 17 21 |
| S21 | 7 11 22 |
When you send your pick back, just use a tiny JSON snippet like this so it's easy to read and check:
{
""solution"": [""set_id"", ...]
}
That's just a sketch: ""solution"" should be an array of the display proposals you choose, and each item in that array is the identifier for one proposal (replace the placeholder set_id with the actual ids from the instance). Think of it like a short form where you list which windows to use.
Please use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 23, 'num_sets': 21, 'density': 0.18840579710144928, 'sets': [{'id': 1, 'elements': [1, 2, 9, 10, 18, 23]}, {'id': 2, 'elements': [1, 2, 9, 10, 14, 18]}, {'id': 3, 'elements': [3, 5, 14]}, {'id': 4, 'elements': [3, 4, 5]}, {'id': 5, 'elements': [3, 4, 5, 14, 18, 20]}, {'id': 6, 'elements': [8, 21]}, {'id': 7, 'elements': [7, 8, 11, 21, 22]}, {'id': 8, 'elements': [6, 8]}, {'id': 9, 'elements': [1, 9, 23]}, {'id': 10, 'elements': [1, 2, 18]}, {'id': 11, 'elements': [7, 11, 21, 22]}, {'id': 12, 'elements': [12, 15, 16]}, {'id': 13, 'elements': [2, 5, 14, 18, 19, 20]}, {'id': 14, 'elements': [7, 11, 12, 15, 16, 17, 19]}, {'id': 15, 'elements': [15, 17, 21]}, {'id': 16, 'elements': [13, 21]}, {'id': 17, 'elements': [2, 5, 10, 13, 14, 17, 18, 19]}, {'id': 18, 'elements': [2, 15, 17, 18, 19]}, {'id': 19, 'elements': [3, 5, 14, 20]}, {'id': 20, 'elements': [6, 7, 11, 15, 16, 17, 21]}, {'id': 21, 'elements': [7, 11, 22]}], 'graph': {'num_nodes': 23, 'edges': [{'u': 21, 'v': 7}, {'u': 21, 'v': 11}, {'u': 21, 'v': 15}, {'u': 21, 'v': 22}, {'u': 9, 'v': 1}, {'u': 9, 'v': 23}, {'u': 8, 'v': 6}, {'u': 10, 'v': 2}, {'u': 12, 'v': 16}, {'u': 6, 'v': 7}, {'u': 15, 'v': 16}, {'u': 15, 'v': 17}, {'u': 17, 'v': 19}, {'u': 13, 'v': 19}, {'u': 18, 'v': 2}, {'u': 18, 'v': 14}, {'u': 18, 'v': 19}, {'u': 3, 'v': 4}, {'u': 3, 'v': 5}, {'u': 5, 'v': 14}, {'u': 5, 'v': 20}, {'u': 1, 'v': 2}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0019.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0019.png'}","[3, 8, 9, 12, 16, 21]",6.0,"{'num_elements': 23, 'num_sets': 21, 'sets': [{'id': 'S1', 'elements': [1, 2, 9, 10, 18, 23]}, {'id': 'S2', 'elements': [1, 2, 9, 10, 14, 18]}, {'id': 'S3', 'elements': [3, 5, 14]}, {'id': 'S4', 'elements': [3, 4, 5]}, {'id': 'S5', 'elements': [3, 4, 5, 14, 18, 20]}, {'id': 'S6', 'elements': [8, 21]}, {'id': 'S7', 'elements': [7, 8, 11, 21, 22]}, {'id': 'S8', 'elements': [6, 8]}, {'id': 'S9', 'elements': [1, 9, 23]}, {'id': 'S10', 'elements': [1, 2, 18]}, {'id': 'S11', 'elements': [7, 11, 21, 22]}, {'id': 'S12', 'elements': [12, 15, 16]}, {'id': 'S13', 'elements': [2, 5, 14, 18, 19, 20]}, {'id': 'S14', 'elements': [7, 11, 12, 15, 16, 17, 19]}, {'id': 'S15', 'elements': [15, 17, 21]}, {'id': 'S16', 'elements': [13, 21]}, {'id': 'S17', 'elements': [2, 5, 10, 13, 14, 17, 18, 19]}, {'id': 'S18', 'elements': [2, 15, 17, 18, 19]}, {'id': 'S19', 'elements': [3, 5, 14, 20]}, {'id': 'S20', 'elements': [6, 7, 11, 15, 16, 17, 21]}, {'id': 'S21', 'elements': [7, 11, 22]}]}","['S3', 'S8', 'S9', 'S12', 'S16', 'S21']",20,markdown_table,1
SP,SP,"Someone in the library dreamed up a pile of themed shelf ideas, and each idea uses a specific group of books. The task is to bring out as many of those themed shelves as possible; the outcome is measured by how many shelves are actually put out, so count them to see how well it went. There’s a strict rule: a single book can’t be used on two different shelves, meaning chosen shelves can’t overlap in their books. The exact book groupings for each theme are shown below.
- **total_books**: 19
- **total_themed_shelves**: 19
| shelf_id | books_on_shelf |
|---|---|
| S1 | A E |
| S2 | B C F M |
| S3 | C F |
| S4 | D I K L N O P R S |
| S5 | E F G M P |
| S6 | B C E F G J M S |
| S7 | E F G H J L |
| S8 | J P |
| S9 | I K L P Q R |
| S10 | E F H J M |
| S11 | D I K L P |
| S12 | H I J K P Q |
| S13 | C D E J M |
| S14 | D N O R |
| S15 | D I L N O Q S |
| S16 | A D F G I J K L |
| S17 | I L O Q |
| S18 | D I O R |
| S19 | D F O S |
Also, when you’re ready to give the final pick, just drop it into a tiny JSON object like this — nice and simple:
{
""solution"": [""shelf_id"", ...]
}
Think of ""solution"" as the list of shelf identifiers for the themed shelves you actually put out. Each item in that array should be the exact identifier for a shelf from the instance (this example just shows the shape, not your real answer).
Please use the identifiers exactly as they appear in the input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 19, 'density': 0.2659279778393352, 'sets': [{'id': 1, 'elements': [1, 5]}, {'id': 2, 'elements': [2, 3, 6, 13]}, {'id': 3, 'elements': [3, 6]}, {'id': 4, 'elements': [4, 9, 11, 12, 14, 15, 16, 18, 19]}, {'id': 5, 'elements': [5, 6, 7, 13, 16]}, {'id': 6, 'elements': [2, 3, 5, 6, 7, 10, 13, 19]}, {'id': 7, 'elements': [5, 6, 7, 8, 10, 12]}, {'id': 8, 'elements': [10, 16]}, {'id': 9, 'elements': [9, 11, 12, 16, 17, 18]}, {'id': 10, 'elements': [5, 6, 8, 10, 13]}, {'id': 11, 'elements': [4, 9, 11, 12, 16]}, {'id': 12, 'elements': [8, 9, 10, 11, 16, 17]}, {'id': 13, 'elements': [3, 4, 5, 10, 13]}, {'id': 14, 'elements': [4, 14, 15, 18]}, {'id': 15, 'elements': [4, 9, 12, 14, 15, 17, 19]}, {'id': 16, 'elements': [1, 4, 6, 7, 9, 10, 11, 12]}, {'id': 17, 'elements': [9, 12, 15, 17]}, {'id': 18, 'elements': [4, 9, 15, 18]}, {'id': 19, 'elements': [4, 6, 15, 19]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 2, 'v': 6}, {'u': 15, 'v': 4}, {'u': 15, 'v': 9}, {'u': 15, 'v': 14}, {'u': 15, 'v': 18}, {'u': 10, 'v': 6}, {'u': 10, 'v': 16}, {'u': 8, 'v': 16}, {'u': 4, 'v': 12}, {'u': 4, 'v': 19}, {'u': 16, 'v': 7}, {'u': 16, 'v': 12}, {'u': 9, 'v': 12}, {'u': 9, 'v': 17}, {'u': 13, 'v': 6}, {'u': 13, 'v': 19}, {'u': 11, 'v': 12}, {'u': 5, 'v': 6}, {'u': 5, 'v': 7}, {'u': 6, 'v': 3}, {'u': 7, 'v': 1}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0020.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0020.png'}","[1, 3, 8, 18]",4.0,"{'num_elements': 19, 'num_sets': 19, 'sets': [{'id': 'S1', 'elements': ['A', 'E']}, {'id': 'S2', 'elements': ['B', 'C', 'F', 'M']}, {'id': 'S3', 'elements': ['C', 'F']}, {'id': 'S4', 'elements': ['D', 'I', 'K', 'L', 'N', 'O', 'P', 'R', 'S']}, {'id': 'S5', 'elements': ['E', 'F', 'G', 'M', 'P']}, {'id': 'S6', 'elements': ['B', 'C', 'E', 'F', 'G', 'J', 'M', 'S']}, {'id': 'S7', 'elements': ['E', 'F', 'G', 'H', 'J', 'L']}, {'id': 'S8', 'elements': ['J', 'P']}, {'id': 'S9', 'elements': ['I', 'K', 'L', 'P', 'Q', 'R']}, {'id': 'S10', 'elements': ['E', 'F', 'H', 'J', 'M']}, {'id': 'S11', 'elements': ['D', 'I', 'K', 'L', 'P']}, {'id': 'S12', 'elements': ['H', 'I', 'J', 'K', 'P', 'Q']}, {'id': 'S13', 'elements': ['C', 'D', 'E', 'J', 'M']}, {'id': 'S14', 'elements': ['D', 'N', 'O', 'R']}, {'id': 'S15', 'elements': ['D', 'I', 'L', 'N', 'O', 'Q', 'S']}, {'id': 'S16', 'elements': ['A', 'D', 'F', 'G', 'I', 'J', 'K', 'L']}, {'id': 'S17', 'elements': ['I', 'L', 'O', 'Q']}, {'id': 'S18', 'elements': ['D', 'I', 'O', 'R']}, {'id': 'S19', 'elements': ['D', 'F', 'O', 'S']}]}","['S1', 'S3', 'S8', 'S18']",21,markdown_table,names
SP,SP,"For the launch, the curator’s challenge is to pick the largest possible set of playlists from a pool of options, while ensuring that no song appears in more than one of the playlists that are chosen. The way to tell which choice is better is simple: tally up how many playlists were selected — the bigger that number, the better the result. The rule to stick to is that tracks can’t be shared between any two selected playlists. The specific playlist options and their tracks are detailed below.
# total_tracks=23
# total_playlists=20
playlist_id,playlist_tracks
S1,4 15 18 19
S2,1 6 16
S3,2 6 11 18
S4,0 4 5 12 22
S5,3 5 15 21
S6,1 2 6 16 17 18
S7,6 7 16 17 19 20
S8,10 19
S9,10 21
S10,2 11 14
S11,4 5 9 12 19 21
S12,0 2 17 18
S13,0 5 15
S14,1 6 8 17 18
S15,2 6 8 13 16 17 19 21
S16,0 2 6 13 14 16 18 19
S17,8 12 13 17 18 19
S18,8 16 17
S19,5 12 13 17 21
S20,5 22
When you're ready to give your selection, just drop it back in this simple JSON shape so it's easy to check:
{
""solution"": [""playlist_id"", ...]
}
Think of ""solution"" as the field that holds your final picks, and the array is where you list the playlists you chose. The string ""playlist_id"" is a placeholder showing the format — replace it with the actual playlist identifiers from the instance (the ""..."" just means you can list as many as fit). This is just a sketch of the shape I expect, not the real answer.
Please make sure to use the identifiers exactly as they appear in the instance input — don't rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 23, 'num_sets': 20, 'density': 0.1934782608695652, 'sets': [{'id': 1, 'elements': [5, 16, 19, 20]}, {'id': 2, 'elements': [2, 7, 17]}, {'id': 3, 'elements': [3, 7, 12, 19]}, {'id': 4, 'elements': [1, 5, 6, 13, 23]}, {'id': 5, 'elements': [4, 6, 16, 22]}, {'id': 6, 'elements': [2, 3, 7, 17, 18, 19]}, {'id': 7, 'elements': [7, 8, 17, 18, 20, 21]}, {'id': 8, 'elements': [11, 20]}, {'id': 9, 'elements': [11, 22]}, {'id': 10, 'elements': [3, 12, 15]}, {'id': 11, 'elements': [5, 6, 10, 13, 20, 22]}, {'id': 12, 'elements': [1, 3, 18, 19]}, {'id': 13, 'elements': [1, 6, 16]}, {'id': 14, 'elements': [2, 7, 9, 18, 19]}, {'id': 15, 'elements': [3, 7, 9, 14, 17, 18, 20, 22]}, {'id': 16, 'elements': [1, 3, 7, 14, 15, 17, 19, 20]}, {'id': 17, 'elements': [9, 13, 14, 18, 19, 20]}, {'id': 18, 'elements': [9, 17, 18]}, {'id': 19, 'elements': [6, 13, 14, 18, 22]}, {'id': 20, 'elements': [6, 23]}], 'graph': {'num_nodes': 23, 'edges': [{'u': 1, 'v': 14}, {'u': 1, 'v': 16}, {'u': 16, 'v': 5}, {'u': 15, 'v': 3}, {'u': 15, 'v': 12}, {'u': 11, 'v': 10}, {'u': 5, 'v': 4}, {'u': 5, 'v': 6}, {'u': 6, 'v': 13}, {'u': 6, 'v': 23}, {'u': 20, 'v': 14}, {'u': 20, 'v': 18}, {'u': 20, 'v': 22}, {'u': 21, 'v': 8}, {'u': 21, 'v': 9}, {'u': 17, 'v': 7}, {'u': 17, 'v': 9}, {'u': 9, 'v': 18}, {'u': 13, 'v': 22}, {'u': 2, 'v': 7}, {'u': 3, 'v': 19}, {'u': 22, 'v': 10}, {'u': 7, 'v': 19}, {'u': 18, 'v': 19}, {'u': 19, 'v': 14}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0021.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0021.png'}","[1, 2, 9, 10, 20]",5.0,"{'num_elements': 23, 'num_sets': 20, 'sets': [{'id': 'S1', 'elements': [4, 15, 18, 19]}, {'id': 'S2', 'elements': [1, 6, 16]}, {'id': 'S3', 'elements': [2, 6, 11, 18]}, {'id': 'S4', 'elements': [0, 4, 5, 12, 22]}, {'id': 'S5', 'elements': [3, 5, 15, 21]}, {'id': 'S6', 'elements': [1, 2, 6, 16, 17, 18]}, {'id': 'S7', 'elements': [6, 7, 16, 17, 19, 20]}, {'id': 'S8', 'elements': [10, 19]}, {'id': 'S9', 'elements': [10, 21]}, {'id': 'S10', 'elements': [2, 11, 14]}, {'id': 'S11', 'elements': [4, 5, 9, 12, 19, 21]}, {'id': 'S12', 'elements': [0, 2, 17, 18]}, {'id': 'S13', 'elements': [0, 5, 15]}, {'id': 'S14', 'elements': [1, 6, 8, 17, 18]}, {'id': 'S15', 'elements': [2, 6, 8, 13, 16, 17, 19, 21]}, {'id': 'S16', 'elements': [0, 2, 6, 13, 14, 16, 18, 19]}, {'id': 'S17', 'elements': [8, 12, 13, 17, 18, 19]}, {'id': 'S18', 'elements': [8, 16, 17]}, {'id': 'S19', 'elements': [5, 12, 13, 17, 21]}, {'id': 'S20', 'elements': [5, 22]}]}","['S1', 'S2', 'S9', 'S10', 'S20']",22,csv,0
SP,SP,"Recently the community center put together several outreach squads and now someone has to pick which squads to deploy. No volunteer can be on more than one deployed squad, and the aim is to deploy as many squads as possible — the performance of any deployment is measured by how many squads are sent. The concrete squad rosters are shown below.
- **total_volunteers**: 20
- **total_squads**: 19
| squad_id | squad_roster |
|---|---|
| S1 | A E K N O |
| S2 | B E F I R S T |
| S3 | C G J K P Q |
| S4 | C G K L O Q |
| S5 | A B E G H I J N R T |
| S6 | B F I Q S |
| S7 | C D E G J O T |
| S8 | G R T |
| S9 | B E F G I J M N R S |
| S10 | C D E G J M N P Q S |
| S11 | A D K |
| S12 | D E H L N O T |
| S13 | I J M Q S |
| S14 | A D E G I J K L N O P |
| S15 | A D G K N P |
| S16 | C K P |
| S17 | C F G I J M |
| S18 | B E I R T |
| S19 | B E G H Q T |
When you reply with which squads to send, just use this simple JSON shape so it's easy to read and validate:
{
""solution"": [""squad_id"", ...]
}
Think of it like a little form: ""solution"" is the list of squads you'll deploy, and each entry in the list is the exact squad identifier from the instance (just the ID, nothing else). This JSON is only a sketch of the expected shape — don't treat the example entries as the real answer.
Please make sure all identifiers are used exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 20, 'num_sets': 19, 'density': 0.31842105263157894, 'sets': [{'id': 1, 'elements': [1, 5, 11, 14, 15]}, {'id': 2, 'elements': [2, 5, 6, 9, 18, 19, 20]}, {'id': 3, 'elements': [3, 7, 10, 11, 16, 17]}, {'id': 4, 'elements': [3, 7, 11, 12, 15, 17]}, {'id': 5, 'elements': [1, 2, 5, 7, 8, 9, 10, 14, 18, 20]}, {'id': 6, 'elements': [2, 6, 9, 17, 19]}, {'id': 7, 'elements': [3, 4, 5, 7, 10, 15, 20]}, {'id': 8, 'elements': [7, 18, 20]}, {'id': 9, 'elements': [2, 5, 6, 7, 9, 10, 13, 14, 18, 19]}, {'id': 10, 'elements': [3, 4, 5, 7, 10, 13, 14, 16, 17, 19]}, {'id': 11, 'elements': [1, 4, 11]}, {'id': 12, 'elements': [4, 5, 8, 12, 14, 15, 20]}, {'id': 13, 'elements': [9, 10, 13, 17, 19]}, {'id': 14, 'elements': [1, 4, 5, 7, 9, 10, 11, 12, 14, 15, 16]}, {'id': 15, 'elements': [1, 4, 7, 11, 14, 16]}, {'id': 16, 'elements': [3, 11, 16]}, {'id': 17, 'elements': [3, 6, 7, 9, 10, 13]}, {'id': 18, 'elements': [2, 5, 9, 18, 20]}, {'id': 19, 'elements': [2, 5, 7, 8, 17, 20]}], 'graph': {'num_nodes': 20, 'edges': [{'u': 1, 'v': 12}, {'u': 1, 'v': 15}, {'u': 2, 'v': 6}, {'u': 2, 'v': 20}, {'u': 3, 'v': 10}, {'u': 3, 'v': 16}, {'u': 5, 'v': 7}, {'u': 5, 'v': 8}, {'u': 5, 'v': 12}, {'u': 5, 'v': 20}, {'u': 6, 'v': 9}, {'u': 6, 'v': 19}, {'u': 12, 'v': 14}, {'u': 14, 'v': 4}, {'u': 14, 'v': 7}, {'u': 14, 'v': 15}, {'u': 18, 'v': 8}, {'u': 18, 'v': 20}, {'u': 20, 'v': 9}, {'u': 15, 'v': 11}, {'u': 9, 'v': 7}, {'u': 9, 'v': 17}, {'u': 10, 'v': 4}, {'u': 10, 'v': 7}, {'u': 10, 'v': 17}, {'u': 11, 'v': 16}, {'u': 17, 'v': 13}, {'u': 17, 'v': 19}, {'u': 4, 'v': 16}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0022.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0022.png'}","[6, 8, 16]",3.0,"{'num_elements': 20, 'num_sets': 19, 'sets': [{'id': 'S1', 'elements': ['A', 'E', 'K', 'N', 'O']}, {'id': 'S2', 'elements': ['B', 'E', 'F', 'I', 'R', 'S', 'T']}, {'id': 'S3', 'elements': ['C', 'G', 'J', 'K', 'P', 'Q']}, {'id': 'S4', 'elements': ['C', 'G', 'K', 'L', 'O', 'Q']}, {'id': 'S5', 'elements': ['A', 'B', 'E', 'G', 'H', 'I', 'J', 'N', 'R', 'T']}, {'id': 'S6', 'elements': ['B', 'F', 'I', 'Q', 'S']}, {'id': 'S7', 'elements': ['C', 'D', 'E', 'G', 'J', 'O', 'T']}, {'id': 'S8', 'elements': ['G', 'R', 'T']}, {'id': 'S9', 'elements': ['B', 'E', 'F', 'G', 'I', 'J', 'M', 'N', 'R', 'S']}, {'id': 'S10', 'elements': ['C', 'D', 'E', 'G', 'J', 'M', 'N', 'P', 'Q', 'S']}, {'id': 'S11', 'elements': ['A', 'D', 'K']}, {'id': 'S12', 'elements': ['D', 'E', 'H', 'L', 'N', 'O', 'T']}, {'id': 'S13', 'elements': ['I', 'J', 'M', 'Q', 'S']}, {'id': 'S14', 'elements': ['A', 'D', 'E', 'G', 'I', 'J', 'K', 'L', 'N', 'O', 'P']}, {'id': 'S15', 'elements': ['A', 'D', 'G', 'K', 'N', 'P']}, {'id': 'S16', 'elements': ['C', 'K', 'P']}, {'id': 'S17', 'elements': ['C', 'F', 'G', 'I', 'J', 'M']}, {'id': 'S18', 'elements': ['B', 'E', 'I', 'R', 'T']}, {'id': 'S19', 'elements': ['B', 'E', 'G', 'H', 'Q', 'T']}]}","['S6', 'S8', 'S16']",23,markdown_table,names
SP,SP,"Recently the showroom decided to showcase multiple grouped looks, and the stylist’s puzzle is to pick the largest number of those looks that can coexist. The quality of any choice is measured by how many bundles are actually placed on the floor (just add them up), but a strict rule is that each piece of furniture may appear in only one chosen look, so there’s no double-booking of a sofa or lamp. The exact bundles and their contents follow below.
# total_furniture_pieces=24
# total_bundles_available=23
bundle_id,bundle_contents
S1,2 7 9 12 18 21 22 23
S2,1 2 15 22
S3,4 6 8 10 13 17 18
S4,3 4 6 10 17
S5,1 5 9 13 17 24
S6,3 16 18 19 20 23
S7,1 11 12 22 23 24
S8,6 8 14 18 19 20
S9,5 24
S10,4 6 17
S11,7 12
S12,7 11
S13,3 5 13
S14,14 18
S15,2 22
S16,6 18 23
S17,3 10 17
S18,1 3 6 8 16 18 21 23
S19,6 8 19 20
S20,8 19 20
S21,1 2 15 22 23 24
S22,1 6 7 16
S23,1 5 7 22 24
If you want to tell me which looks to place, just send back a tiny JSON snippet like the one below — it's the simple shape I expect:
{
""solution"": [""look_id"", ...]
}
Think of ""solution"" as the list of chosen looks to put on the floor, and each ""look_id"" is a placeholder for one of the bundle identifiers from the list I gave you. This is just a sketch of the format I want, not the actual answer.
Please use the exact identifiers from the instance input — don't rename them or invent new ones.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 24, 'num_sets': 23, 'density': 0.18115942028985507, 'sets': [{'id': 1, 'elements': [2, 7, 9, 12, 18, 21, 22, 23]}, {'id': 2, 'elements': [1, 2, 15, 22]}, {'id': 3, 'elements': [4, 6, 8, 10, 13, 17, 18]}, {'id': 4, 'elements': [3, 4, 6, 10, 17]}, {'id': 5, 'elements': [1, 5, 9, 13, 17, 24]}, {'id': 6, 'elements': [3, 16, 18, 19, 20, 23]}, {'id': 7, 'elements': [1, 11, 12, 22, 23, 24]}, {'id': 8, 'elements': [6, 8, 14, 18, 19, 20]}, {'id': 9, 'elements': [5, 24]}, {'id': 10, 'elements': [4, 6, 17]}, {'id': 11, 'elements': [7, 12]}, {'id': 12, 'elements': [7, 11]}, {'id': 13, 'elements': [3, 5, 13]}, {'id': 14, 'elements': [14, 18]}, {'id': 15, 'elements': [2, 22]}, {'id': 16, 'elements': [6, 18, 23]}, {'id': 17, 'elements': [3, 10, 17]}, {'id': 18, 'elements': [1, 3, 6, 8, 16, 18, 21, 23]}, {'id': 19, 'elements': [6, 8, 19, 20]}, {'id': 20, 'elements': [8, 19, 20]}, {'id': 21, 'elements': [1, 2, 15, 22, 23, 24]}, {'id': 22, 'elements': [1, 6, 7, 16]}, {'id': 23, 'elements': [1, 5, 7, 22, 24]}], 'graph': {'num_nodes': 24, 'edges': [{'u': 17, 'v': 3}, {'u': 17, 'v': 13}, {'u': 22, 'v': 1}, {'u': 22, 'v': 2}, {'u': 4, 'v': 3}, {'u': 9, 'v': 24}, {'u': 15, 'v': 2}, {'u': 18, 'v': 6}, {'u': 18, 'v': 16}, {'u': 18, 'v': 23}, {'u': 3, 'v': 6}, {'u': 3, 'v': 10}, {'u': 7, 'v': 1}, {'u': 7, 'v': 12}, {'u': 24, 'v': 1}, {'u': 24, 'v': 5}, {'u': 5, 'v': 13}, {'u': 6, 'v': 8}, {'u': 6, 'v': 14}, {'u': 20, 'v': 8}, {'u': 12, 'v': 11}, {'u': 23, 'v': 1}, {'u': 23, 'v': 21}, {'u': 19, 'v': 8}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0023.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0023.png'}","[9, 10, 12, 14, 15, 20]",6.0,"{'num_elements': 24, 'num_sets': 23, 'sets': [{'id': 'S1', 'elements': [2, 7, 9, 12, 18, 21, 22, 23]}, {'id': 'S2', 'elements': [1, 2, 15, 22]}, {'id': 'S3', 'elements': [4, 6, 8, 10, 13, 17, 18]}, {'id': 'S4', 'elements': [3, 4, 6, 10, 17]}, {'id': 'S5', 'elements': [1, 5, 9, 13, 17, 24]}, {'id': 'S6', 'elements': [3, 16, 18, 19, 20, 23]}, {'id': 'S7', 'elements': [1, 11, 12, 22, 23, 24]}, {'id': 'S8', 'elements': [6, 8, 14, 18, 19, 20]}, {'id': 'S9', 'elements': [5, 24]}, {'id': 'S10', 'elements': [4, 6, 17]}, {'id': 'S11', 'elements': [7, 12]}, {'id': 'S12', 'elements': [7, 11]}, {'id': 'S13', 'elements': [3, 5, 13]}, {'id': 'S14', 'elements': [14, 18]}, {'id': 'S15', 'elements': [2, 22]}, {'id': 'S16', 'elements': [6, 18, 23]}, {'id': 'S17', 'elements': [3, 10, 17]}, {'id': 'S18', 'elements': [1, 3, 6, 8, 16, 18, 21, 23]}, {'id': 'S19', 'elements': [6, 8, 19, 20]}, {'id': 'S20', 'elements': [8, 19, 20]}, {'id': 'S21', 'elements': [1, 2, 15, 22, 23, 24]}, {'id': 'S22', 'elements': [1, 6, 7, 16]}, {'id': 'S23', 'elements': [1, 5, 7, 22, 24]}]}","['S9', 'S10', 'S12', 'S14', 'S15', 'S20']",24,csv,1
SP,SP,"I’m juggling the production board this week, picking which batches to run so the plant actually gets more lines moving. The idea is simple: pick as many batches as possible to kick off — the ""score"" is just the count of batches that start — but any two chosen batches can’t both need the same machine at the same time. The specific batches and which machines they need are shown below.
I've got 22 candidate batches and 24 distinct machines listed below.
Batch S1 needs machines 3 20.
Batch S2 needs machines 1 2 3 8.
Batch S3 needs machines 1 3 5.
Batch S4 needs machines 3 5 7 8 9 19.
Batch S5 needs machines 6 12 13 18 24.
Batch S6 needs machines 1 5 8 10 19.
Batch S7 needs machines 3 7 20 21.
Batch S8 needs machines 9 10.
Batch S9 needs machines 4 11 12 13 14 20 23.
Batch S10 needs machines 12 14 23 24.
Batch S11 needs machines 11 12 13 14 18 24.
Batch S12 needs machines 11 13 15 16 17 23.
Batch S13 needs machines 14 15 16.
Batch S14 needs machines 15 16 17.
Batch S15 needs machines 14 15 17.
Batch S16 needs machines 6 18.
Batch S17 needs machines 3 7.
Batch S18 needs machines 1 4 8 20 21.
Batch S19 needs machines 4 8 12 20 21.
Batch S20 needs machines 22 23.
Batch S21 needs machines 11 12 13 14 22 23.
Batch S22 needs machines 6 12 13.
I'll try to kick off as many batches as I can without any machine clashes.
I'll return the selection in a tiny JSON snippet so it’s easy to plug into whatever you’ve got running.
{
""solution"": [""batch_id"", ...]
}
Nothing fancy — ""solution"" is just the list of batches I’m picking to start, and each item in that array is a placeholder for a batch identifier (replace ""batch_id"" with the actual IDs from the instance). This is just a sketch of the shape I’ll use, not the actual final picks.
Also: use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 24, 'num_sets': 22, 'density': 0.16666666666666666, 'sets': [{'id': 1, 'elements': [3, 20]}, {'id': 2, 'elements': [1, 2, 3, 8]}, {'id': 3, 'elements': [1, 3, 5]}, {'id': 4, 'elements': [3, 5, 7, 8, 9, 19]}, {'id': 5, 'elements': [6, 12, 13, 18, 24]}, {'id': 6, 'elements': [1, 5, 8, 10, 19]}, {'id': 7, 'elements': [3, 7, 20, 21]}, {'id': 8, 'elements': [9, 10]}, {'id': 9, 'elements': [4, 11, 12, 13, 14, 20, 23]}, {'id': 10, 'elements': [12, 14, 23, 24]}, {'id': 11, 'elements': [11, 12, 13, 14, 18, 24]}, {'id': 12, 'elements': [11, 13, 15, 16, 17, 23]}, {'id': 13, 'elements': [14, 15, 16]}, {'id': 14, 'elements': [15, 16, 17]}, {'id': 15, 'elements': [14, 15, 17]}, {'id': 16, 'elements': [6, 18]}, {'id': 17, 'elements': [3, 7]}, {'id': 18, 'elements': [1, 4, 8, 20, 21]}, {'id': 19, 'elements': [4, 8, 12, 20, 21]}, {'id': 20, 'elements': [22, 23]}, {'id': 21, 'elements': [11, 12, 13, 14, 22, 23]}, {'id': 22, 'elements': [6, 12, 13]}], 'graph': {'num_nodes': 24, 'edges': [{'u': 19, 'v': 5}, {'u': 12, 'v': 11}, {'u': 12, 'v': 13}, {'u': 12, 'v': 14}, {'u': 12, 'v': 23}, {'u': 6, 'v': 13}, {'u': 6, 'v': 18}, {'u': 13, 'v': 24}, {'u': 14, 'v': 15}, {'u': 15, 'v': 16}, {'u': 15, 'v': 17}, {'u': 2, 'v': 1}, {'u': 3, 'v': 1}, {'u': 3, 'v': 5}, {'u': 1, 'v': 8}, {'u': 9, 'v': 7}, {'u': 9, 'v': 10}, {'u': 5, 'v': 7}, {'u': 4, 'v': 21}, {'u': 20, 'v': 8}, {'u': 20, 'v': 21}, {'u': 21, 'v': 11}, {'u': 22, 'v': 23}, {'u': 7, 'v': 8}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0024.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0024.png'}","[8, 14, 16, 17, 18, 20]",6.0,"{'num_elements': 24, 'num_sets': 22, 'sets': [{'id': 'S1', 'elements': [3, 20]}, {'id': 'S2', 'elements': [1, 2, 3, 8]}, {'id': 'S3', 'elements': [1, 3, 5]}, {'id': 'S4', 'elements': [3, 5, 7, 8, 9, 19]}, {'id': 'S5', 'elements': [6, 12, 13, 18, 24]}, {'id': 'S6', 'elements': [1, 5, 8, 10, 19]}, {'id': 'S7', 'elements': [3, 7, 20, 21]}, {'id': 'S8', 'elements': [9, 10]}, {'id': 'S9', 'elements': [4, 11, 12, 13, 14, 20, 23]}, {'id': 'S10', 'elements': [12, 14, 23, 24]}, {'id': 'S11', 'elements': [11, 12, 13, 14, 18, 24]}, {'id': 'S12', 'elements': [11, 13, 15, 16, 17, 23]}, {'id': 'S13', 'elements': [14, 15, 16]}, {'id': 'S14', 'elements': [15, 16, 17]}, {'id': 'S15', 'elements': [14, 15, 17]}, {'id': 'S16', 'elements': [6, 18]}, {'id': 'S17', 'elements': [3, 7]}, {'id': 'S18', 'elements': [1, 4, 8, 20, 21]}, {'id': 'S19', 'elements': [4, 8, 12, 20, 21]}, {'id': 'S20', 'elements': [22, 23]}, {'id': 'S21', 'elements': [11, 12, 13, 14, 22, 23]}, {'id': 'S22', 'elements': [6, 12, 13]}]}","['S8', 'S14', 'S16', 'S17', 'S18', 'S20']",25,nl,1
SP,SP,"Recently the department sent over a long list of pre-formed student teams, and the task became selecting which of those teams to run this term. The decision boils down to approving as many teams as possible from that list. The winning selection is the one that yields the highest number of approved teams — success is measured by simply tallying the groups. The catch is that no student can appear in more than one approved team; students may be left unassigned but cannot be duplicated. The specific roster and team possibilities are shown below.
There are 24 distinct students in the roster and 23 pre-formed teams to consider.
Team S1 comprises 4 12.
Team S2 comprises 14 18 19.
Team S3 comprises 3 5 7 21 23.
Team S4 comprises 1 4 6 12 15 24.
Team S5 comprises 5 7 10.
Team S6 comprises 4 6 23.
Team S7 comprises 3 5 7 16 18 23.
Team S8 comprises 8 10 21.
Team S9 comprises 19 22.
Team S10 comprises 5 8 10.
Team S11 comprises 2 13 14 19.
Team S12 comprises 1 12 15.
Team S13 comprises 11 19 22.
Team S14 comprises 6 15 16 24.
Team S15 comprises 7 18.
Team S16 comprises 13 17.
Team S17 comprises 7 16 18 22.
Team S18 comprises 2 9 11 14 19 22.
Team S19 comprises 20 22.
Team S20 comprises 3 5 8 10.
Team S21 comprises 9 11 14 19 20 22.
Team S22 comprises 3 7 16 18.
Team S23 comprises 12 15 24.
Approve as many non-overlapping teams as possible, ensuring no student appears in more than one approved team.
Also, when you send back which teams you want to approve, please put them in a tiny JSON object so it's easy to parse. Something simple like this will do:
{
""solution"": [""team_id"", ...]
}
Think of that as a form: the solution array should contain the IDs of the approved teams (one ID per entry). The ""team_id"" above is just a placeholder showing the format — replace those with the actual team identifiers from the instance. This sketch only shows the expected shape, not the real answer.
Please be sure to use the exact identifiers that appear in the instance input — do not rename them or invent new labels. For example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 24, 'num_sets': 23, 'density': 0.1503623188405797, 'sets': [{'id': 1, 'elements': [4, 12]}, {'id': 2, 'elements': [14, 18, 19]}, {'id': 3, 'elements': [3, 5, 7, 21, 23]}, {'id': 4, 'elements': [1, 4, 6, 12, 15, 24]}, {'id': 5, 'elements': [5, 7, 10]}, {'id': 6, 'elements': [4, 6, 23]}, {'id': 7, 'elements': [3, 5, 7, 16, 18, 23]}, {'id': 8, 'elements': [8, 10, 21]}, {'id': 9, 'elements': [19, 22]}, {'id': 10, 'elements': [5, 8, 10]}, {'id': 11, 'elements': [2, 13, 14, 19]}, {'id': 12, 'elements': [1, 12, 15]}, {'id': 13, 'elements': [11, 19, 22]}, {'id': 14, 'elements': [6, 15, 16, 24]}, {'id': 15, 'elements': [7, 18]}, {'id': 16, 'elements': [13, 17]}, {'id': 17, 'elements': [7, 16, 18, 22]}, {'id': 18, 'elements': [2, 9, 11, 14, 19, 22]}, {'id': 19, 'elements': [20, 22]}, {'id': 20, 'elements': [3, 5, 8, 10]}, {'id': 21, 'elements': [9, 11, 14, 19, 20, 22]}, {'id': 22, 'elements': [3, 7, 16, 18]}, {'id': 23, 'elements': [12, 15, 24]}], 'graph': {'num_nodes': 24, 'edges': [{'u': 2, 'v': 18}, {'u': 2, 'v': 22}, {'u': 13, 'v': 11}, {'u': 13, 'v': 17}, {'u': 3, 'v': 5}, {'u': 3, 'v': 7}, {'u': 14, 'v': 20}, {'u': 14, 'v': 22}, {'u': 6, 'v': 15}, {'u': 6, 'v': 16}, {'u': 4, 'v': 12}, {'u': 4, 'v': 15}, {'u': 4, 'v': 24}, {'u': 5, 'v': 21}, {'u': 7, 'v': 23}, {'u': 8, 'v': 10}, {'u': 9, 'v': 19}, {'u': 10, 'v': 21}, {'u': 11, 'v': 22}, {'u': 16, 'v': 23}, {'u': 12, 'v': 1}, {'u': 22, 'v': 19}, {'u': 23, 'v': 18}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0025.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0025.png'}","[1, 2, 10, 14, 16, 19]",6.0,"{'num_elements': 24, 'num_sets': 23, 'sets': [{'id': 'S1', 'elements': [4, 12]}, {'id': 'S2', 'elements': [14, 18, 19]}, {'id': 'S3', 'elements': [3, 5, 7, 21, 23]}, {'id': 'S4', 'elements': [1, 4, 6, 12, 15, 24]}, {'id': 'S5', 'elements': [5, 7, 10]}, {'id': 'S6', 'elements': [4, 6, 23]}, {'id': 'S7', 'elements': [3, 5, 7, 16, 18, 23]}, {'id': 'S8', 'elements': [8, 10, 21]}, {'id': 'S9', 'elements': [19, 22]}, {'id': 'S10', 'elements': [5, 8, 10]}, {'id': 'S11', 'elements': [2, 13, 14, 19]}, {'id': 'S12', 'elements': [1, 12, 15]}, {'id': 'S13', 'elements': [11, 19, 22]}, {'id': 'S14', 'elements': [6, 15, 16, 24]}, {'id': 'S15', 'elements': [7, 18]}, {'id': 'S16', 'elements': [13, 17]}, {'id': 'S17', 'elements': [7, 16, 18, 22]}, {'id': 'S18', 'elements': [2, 9, 11, 14, 19, 22]}, {'id': 'S19', 'elements': [20, 22]}, {'id': 'S20', 'elements': [3, 5, 8, 10]}, {'id': 'S21', 'elements': [9, 11, 14, 19, 20, 22]}, {'id': 'S22', 'elements': [3, 7, 16, 18]}, {'id': 'S23', 'elements': [12, 15, 24]}]}","['S1', 'S2', 'S10', 'S14', 'S16', 'S19']",26,nl,1
SP,SP,"There’s a stack of themed shoot bundles on the table and a roster of models and props to match. The task is to arrange as many of those bundles as possible into the weekend, and the simple measure of success is how many bundles get scheduled — just tally them up. One hard rule: no prop or model can appear in two different scheduled bundles, so any picks that share someone or something have to be avoided. The specific shoots and their requirements are listed below.
# total_resources=23
# total_packages=21
package_id,package_resources
S1,A J N
S2,B D F J V W
S3,C F H V
S4,B S U
S5,E F K O
S6,B C F H V W
S7,G I T
S8,C E F O
S9,B G
S10,B G I J N S V
S11,K O Q R
S12,D L P
S13,A M N
S14,A B I M N
S15,H K O
S16,D P S
S17,K Q R
S18,D J L S
S19,G J T
S20,B C H S V W
S21,F V
Oh, and when you send your picks back, just drop them into a tiny JSON snippet like this so it's easy to read and import:
{
""solution"": [""bundle_id"", ...]
}
Here ""solution"" is the list of bundles you want to schedule — put each bundle's identifier in there. This is just the shape I expect, a simple sketch, not the actual filled-in answer.
Please use the exact identifiers from the instance input — no renaming and no new labels.
""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 23, 'num_sets': 21, 'density': 0.16770186335403728, 'sets': [{'id': 1, 'elements': [1, 10, 14]}, {'id': 2, 'elements': [2, 4, 6, 10, 22, 23]}, {'id': 3, 'elements': [3, 6, 8, 22]}, {'id': 4, 'elements': [2, 19, 21]}, {'id': 5, 'elements': [5, 6, 11, 15]}, {'id': 6, 'elements': [2, 3, 6, 8, 22, 23]}, {'id': 7, 'elements': [7, 9, 20]}, {'id': 8, 'elements': [3, 5, 6, 15]}, {'id': 9, 'elements': [2, 7]}, {'id': 10, 'elements': [2, 7, 9, 10, 14, 19, 22]}, {'id': 11, 'elements': [11, 15, 17, 18]}, {'id': 12, 'elements': [4, 12, 16]}, {'id': 13, 'elements': [1, 13, 14]}, {'id': 14, 'elements': [1, 2, 9, 13, 14]}, {'id': 15, 'elements': [8, 11, 15]}, {'id': 16, 'elements': [4, 16, 19]}, {'id': 17, 'elements': [11, 17, 18]}, {'id': 18, 'elements': [4, 10, 12, 19]}, {'id': 19, 'elements': [7, 10, 20]}, {'id': 20, 'elements': [2, 3, 8, 19, 22, 23]}, {'id': 21, 'elements': [6, 22]}], 'graph': {'num_nodes': 23, 'edges': [{'u': 13, 'v': 1}, {'u': 10, 'v': 2}, {'u': 10, 'v': 9}, {'u': 10, 'v': 14}, {'u': 19, 'v': 2}, {'u': 19, 'v': 4}, {'u': 19, 'v': 21}, {'u': 2, 'v': 22}, {'u': 7, 'v': 9}, {'u': 3, 'v': 6}, {'u': 18, 'v': 17}, {'u': 11, 'v': 15}, {'u': 11, 'v': 17}, {'u': 9, 'v': 20}, {'u': 12, 'v': 4}, {'u': 16, 'v': 4}, {'u': 22, 'v': 6}, {'u': 22, 'v': 23}, {'u': 8, 'v': 5}, {'u': 8, 'v': 6}, {'u': 5, 'v': 15}, {'u': 14, 'v': 1}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0026.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0026.png'}","[4, 7, 12, 13, 17, 21]",6.0,"{'num_elements': 23, 'num_sets': 21, 'sets': [{'id': 'S1', 'elements': ['A', 'J', 'N']}, {'id': 'S2', 'elements': ['B', 'D', 'F', 'J', 'V', 'W']}, {'id': 'S3', 'elements': ['C', 'F', 'H', 'V']}, {'id': 'S4', 'elements': ['B', 'S', 'U']}, {'id': 'S5', 'elements': ['E', 'F', 'K', 'O']}, {'id': 'S6', 'elements': ['B', 'C', 'F', 'H', 'V', 'W']}, {'id': 'S7', 'elements': ['G', 'I', 'T']}, {'id': 'S8', 'elements': ['C', 'E', 'F', 'O']}, {'id': 'S9', 'elements': ['B', 'G']}, {'id': 'S10', 'elements': ['B', 'G', 'I', 'J', 'N', 'S', 'V']}, {'id': 'S11', 'elements': ['K', 'O', 'Q', 'R']}, {'id': 'S12', 'elements': ['D', 'L', 'P']}, {'id': 'S13', 'elements': ['A', 'M', 'N']}, {'id': 'S14', 'elements': ['A', 'B', 'I', 'M', 'N']}, {'id': 'S15', 'elements': ['H', 'K', 'O']}, {'id': 'S16', 'elements': ['D', 'P', 'S']}, {'id': 'S17', 'elements': ['K', 'Q', 'R']}, {'id': 'S18', 'elements': ['D', 'J', 'L', 'S']}, {'id': 'S19', 'elements': ['G', 'J', 'T']}, {'id': 'S20', 'elements': ['B', 'C', 'H', 'S', 'V', 'W']}, {'id': 'S21', 'elements': ['F', 'V']}]}","['S4', 'S7', 'S12', 'S13', 'S17', 'S21']",27,csv,names
SP,SP,"On a busy morning the boutique team is picking outfit combinations for the window to grab attention. The job is to pick as many of those combos as they can so the window feels full; compare options by counting how many outfits end up on display. One clear limitation: a single item cannot be used in two different showcased outfits, so selections must be item-disjoint. The specific outfits and items follow below.
- **total_items_count**: 22
- **total_outfits_available**: 22
| outfit_id | outfit_items |
|---|---|
| S1 | 1 2 4 6 21 |
| S2 | 2 6 |
| S3 | 0 2 4 5 6 7 9 |
| S4 | 2 3 5 6 8 9 12 |
| S5 | 0 1 6 8 9 11 21 |
| S6 | 2 3 4 5 6 7 10 12 16 17 18 |
| S7 | 2 3 5 10 14 17 |
| S8 | 2 5 7 17 |
| S9 | 3 8 9 21 |
| S10 | 2 4 9 12 13 |
| S11 | 3 5 6 10 11 14 19 |
| S12 | 3 4 10 12 19 |
| S13 | 3 4 5 9 10 11 18 |
| S14 | 12 13 18 19 |
| S15 | 3 5 6 10 14 15 17 18 19 |
| S16 | 6 14 16 17 |
| S17 | 5 14 16 18 |
| S18 | 2 5 6 7 14 15 16 18 |
| S19 | 5 12 13 16 18 19 20 |
| S20 | 11 13 18 19 20 |
| S21 | 18 19 20 |
| S22 | 0 4 8 21 |
Oh, and one more practical thing — when you send your picks, please use this simple JSON shape so I can easily see which outfits you chose:
{
""solution"": [""outfit_id"", ...]
}
Think of ""solution"" as the list of outfit IDs you want in the window display. Each entry in the array should be one of the outfit identifiers from the instance. This JSON is just a sketch of the shape I expect, not your final answer — replace the placeholder(s) with the actual IDs.
Please use the identifiers exactly as they appear in the instance input — don't rename them or invent new labels.
- For example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 22, 'num_sets': 22, 'density': 0.25826446280991733, 'sets': [{'id': 1, 'elements': [2, 3, 5, 7, 22]}, {'id': 2, 'elements': [3, 7]}, {'id': 3, 'elements': [1, 3, 5, 6, 7, 8, 10]}, {'id': 4, 'elements': [3, 4, 6, 7, 9, 10, 13]}, {'id': 5, 'elements': [1, 2, 7, 9, 10, 12, 22]}, {'id': 6, 'elements': [3, 4, 5, 6, 7, 8, 11, 13, 17, 18, 19]}, {'id': 7, 'elements': [3, 4, 6, 11, 15, 18]}, {'id': 8, 'elements': [3, 6, 8, 18]}, {'id': 9, 'elements': [4, 9, 10, 22]}, {'id': 10, 'elements': [3, 5, 10, 13, 14]}, {'id': 11, 'elements': [4, 6, 7, 11, 12, 15, 20]}, {'id': 12, 'elements': [4, 5, 11, 13, 20]}, {'id': 13, 'elements': [4, 5, 6, 10, 11, 12, 19]}, {'id': 14, 'elements': [13, 14, 19, 20]}, {'id': 15, 'elements': [4, 6, 7, 11, 15, 16, 18, 19, 20]}, {'id': 16, 'elements': [7, 15, 17, 18]}, {'id': 17, 'elements': [6, 15, 17, 19]}, {'id': 18, 'elements': [3, 6, 7, 8, 15, 16, 17, 19]}, {'id': 19, 'elements': [6, 13, 14, 17, 19, 20, 21]}, {'id': 20, 'elements': [12, 14, 19, 20, 21]}, {'id': 21, 'elements': [19, 20, 21]}, {'id': 22, 'elements': [1, 5, 9, 22]}], 'graph': {'num_nodes': 22, 'edges': [{'u': 13, 'v': 4}, {'u': 13, 'v': 11}, {'u': 13, 'v': 12}, {'u': 14, 'v': 12}, {'u': 14, 'v': 20}, {'u': 22, 'v': 9}, {'u': 1, 'v': 3}, {'u': 1, 'v': 9}, {'u': 2, 'v': 3}, {'u': 15, 'v': 6}, {'u': 15, 'v': 17}, {'u': 15, 'v': 18}, {'u': 15, 'v': 19}, {'u': 6, 'v': 4}, {'u': 6, 'v': 7}, {'u': 6, 'v': 11}, {'u': 7, 'v': 3}, {'u': 7, 'v': 8}, {'u': 7, 'v': 18}, {'u': 19, 'v': 11}, {'u': 19, 'v': 20}, {'u': 20, 'v': 21}, {'u': 9, 'v': 5}, {'u': 10, 'v': 5}, {'u': 10, 'v': 12}, {'u': 3, 'v': 5}, {'u': 4, 'v': 5}, {'u': 17, 'v': 16}, {'u': 18, 'v': 16}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0027.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0027.png'}","[2, 12, 17]",3.0,"{'num_elements': 22, 'num_sets': 22, 'sets': [{'id': 'S1', 'elements': [1, 2, 4, 6, 21]}, {'id': 'S2', 'elements': [2, 6]}, {'id': 'S3', 'elements': [0, 2, 4, 5, 6, 7, 9]}, {'id': 'S4', 'elements': [2, 3, 5, 6, 8, 9, 12]}, {'id': 'S5', 'elements': [0, 1, 6, 8, 9, 11, 21]}, {'id': 'S6', 'elements': [2, 3, 4, 5, 6, 7, 10, 12, 16, 17, 18]}, {'id': 'S7', 'elements': [2, 3, 5, 10, 14, 17]}, {'id': 'S8', 'elements': [2, 5, 7, 17]}, {'id': 'S9', 'elements': [3, 8, 9, 21]}, {'id': 'S10', 'elements': [2, 4, 9, 12, 13]}, {'id': 'S11', 'elements': [3, 5, 6, 10, 11, 14, 19]}, {'id': 'S12', 'elements': [3, 4, 10, 12, 19]}, {'id': 'S13', 'elements': [3, 4, 5, 9, 10, 11, 18]}, {'id': 'S14', 'elements': [12, 13, 18, 19]}, {'id': 'S15', 'elements': [3, 5, 6, 10, 14, 15, 17, 18, 19]}, {'id': 'S16', 'elements': [6, 14, 16, 17]}, {'id': 'S17', 'elements': [5, 14, 16, 18]}, {'id': 'S18', 'elements': [2, 5, 6, 7, 14, 15, 16, 18]}, {'id': 'S19', 'elements': [5, 12, 13, 16, 18, 19, 20]}, {'id': 'S20', 'elements': [11, 13, 18, 19, 20]}, {'id': 'S21', 'elements': [18, 19, 20]}, {'id': 'S22', 'elements': [0, 4, 8, 21]}]}","['S2', 'S12', 'S17']",28,markdown_table,0
SP,SP,"Someone on the events team needs to choose panels so the program looks full, while making sure no one is booked into two different discussions. The clearer solution is the one that includes more panels — success equals the number of panels picked, simply summed up. Practically speaking, any plan that has a speaker in more than one chosen panel has to be discarded. The detailed proposals and speaker assignments are shown below.
- **total_speakers**: 20
- **total_panel_proposals**: 19
| panel_id | panel_speakers |
|---|---|
| S1 | 0 4 8 |
| S2 | 1 2 14 18 |
| S3 | 1 2 6 7 18 |
| S4 | 3 12 17 19 |
| S5 | 0 6 8 16 18 |
| S6 | 10 13 15 16 |
| S7 | 2 4 6 7 18 |
| S8 | 1 6 14 |
| S9 | 0 4 8 16 18 |
| S10 | 3 9 15 19 |
| S11 | 5 8 10 16 |
| S12 | 2 6 11 18 |
| S13 | 12 17 19 |
| S14 | 5 9 |
| S15 | 4 7 18 |
| S16 | 5 9 13 15 19 |
| S17 | 4 5 16 |
| S18 | 0 2 6 8 14 |
| S19 | 3 9 15 17 19 |
Oh, and when you send back the chosen panels, just use this simple JSON shape so it's easy to read and parse:
{
""solution"": [""panel_id"", ...]
}
""solution"" is just the list of the panel IDs you picked for the program. The ""panel_id"" entry above is a placeholder to show the format — swap it for the actual IDs from the instance (one per selected panel). This is only a sketch of the expected shape, not the actual answer.
Please make sure to use the exact identifiers from the instance input — no renaming and no new labels.
- for example: Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 20, 'num_sets': 19, 'density': 0.2, 'sets': [{'id': 1, 'elements': [1, 5, 9]}, {'id': 2, 'elements': [2, 3, 15, 19]}, {'id': 3, 'elements': [2, 3, 7, 8, 19]}, {'id': 4, 'elements': [4, 13, 18, 20]}, {'id': 5, 'elements': [1, 7, 9, 17, 19]}, {'id': 6, 'elements': [11, 14, 16, 17]}, {'id': 7, 'elements': [3, 5, 7, 8, 19]}, {'id': 8, 'elements': [2, 7, 15]}, {'id': 9, 'elements': [1, 5, 9, 17, 19]}, {'id': 10, 'elements': [4, 10, 16, 20]}, {'id': 11, 'elements': [6, 9, 11, 17]}, {'id': 12, 'elements': [3, 7, 12, 19]}, {'id': 13, 'elements': [13, 18, 20]}, {'id': 14, 'elements': [6, 10]}, {'id': 15, 'elements': [5, 8, 19]}, {'id': 16, 'elements': [6, 10, 14, 16, 20]}, {'id': 17, 'elements': [5, 6, 17]}, {'id': 18, 'elements': [1, 3, 7, 9, 15]}, {'id': 19, 'elements': [4, 10, 16, 18, 20]}], 'graph': {'num_nodes': 20, 'edges': [{'u': 20, 'v': 4}, {'u': 20, 'v': 10}, {'u': 1, 'v': 5}, {'u': 10, 'v': 16}, {'u': 17, 'v': 9}, {'u': 17, 'v': 11}, {'u': 15, 'v': 2}, {'u': 15, 'v': 19}, {'u': 12, 'v': 7}, {'u': 2, 'v': 8}, {'u': 7, 'v': 3}, {'u': 7, 'v': 19}, {'u': 3, 'v': 8}, {'u': 18, 'v': 4}, {'u': 13, 'v': 4}, {'u': 6, 'v': 11}, {'u': 6, 'v': 16}, {'u': 9, 'v': 5}, {'u': 5, 'v': 19}, {'u': 14, 'v': 16}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0028.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0028.png'}","[6, 8, 13, 14, 15]",5.0,"{'num_elements': 20, 'num_sets': 19, 'sets': [{'id': 'S1', 'elements': [0, 4, 8]}, {'id': 'S2', 'elements': [1, 2, 14, 18]}, {'id': 'S3', 'elements': [1, 2, 6, 7, 18]}, {'id': 'S4', 'elements': [3, 12, 17, 19]}, {'id': 'S5', 'elements': [0, 6, 8, 16, 18]}, {'id': 'S6', 'elements': [10, 13, 15, 16]}, {'id': 'S7', 'elements': [2, 4, 6, 7, 18]}, {'id': 'S8', 'elements': [1, 6, 14]}, {'id': 'S9', 'elements': [0, 4, 8, 16, 18]}, {'id': 'S10', 'elements': [3, 9, 15, 19]}, {'id': 'S11', 'elements': [5, 8, 10, 16]}, {'id': 'S12', 'elements': [2, 6, 11, 18]}, {'id': 'S13', 'elements': [12, 17, 19]}, {'id': 'S14', 'elements': [5, 9]}, {'id': 'S15', 'elements': [4, 7, 18]}, {'id': 'S16', 'elements': [5, 9, 13, 15, 19]}, {'id': 'S17', 'elements': [4, 5, 16]}, {'id': 'S18', 'elements': [0, 2, 6, 8, 14]}, {'id': 'S19', 'elements': [3, 9, 15, 17, 19]}]}","['S6', 'S8', 'S13', 'S14', 'S15']",29,markdown_table,0
SP,SP,"Many neighbors brought in different planting plans for the community plot, so the challenge is to assemble a set of plans as large as possible while making sure no single species is planted in two of the chosen plans. The one that wins is the selection with the greatest number of plans; count the plans to get the result, and make sure species aren’t duplicated. The full details of each plan and its species are shown below.
There are 21 submitted plans and 22 distinct species across them.
Plan S1 includes 0 1 2 8.
Plan S2 includes 0 2 8 10 20.
Plan S3 includes 0 2 5 9 17 19 20.
Plan S4 includes 3 8 10 13 16.
Plan S5 includes 4 10 15.
Plan S6 includes 5 8 9 14.
Plan S7 includes 17 18 19.
Plan S8 includes 7 15.
Plan S9 includes 0 1 2 3 5 8 9 10 11 16.
Plan S10 includes 3 9 10 13.
Plan S11 includes 1 3 4 8 10 21.
Plan S12 includes 1 4 7 8 11 15.
Plan S13 includes 5 12 13 14.
Plan S14 includes 3 9 12 16.
Plan S15 includes 4 10 11 15.
Plan S16 includes 3 8 13.
Plan S17 includes 2 6 17 18 19 20.
Plan S18 includes 6 17.
Plan S19 includes 6 9 17 18 21.
Plan S20 includes 1 2 17 19 20 21.
Plan S21 includes 0 10 19 20 21.
The winning selection is the one with the greatest number of plans and no repeated species.
Oh, and when you send back the chosen plans, please use this simple JSON shape so it's easy to read by both people and tools:
{
""solution"": [""plan_id"", ...]
}
Here ""solution"" is just a list of the planting plans you picked (one string per plan). Each entry in that array should be the exact plan identifier from the instance — think of it like filling in a short form with the plan labels. This JSON is just a sketch of the shape I expect, not the real answer itself.
Please use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 22, 'num_sets': 21, 'density': 0.21212121212121213, 'sets': [{'id': 1, 'elements': [1, 2, 3, 9]}, {'id': 2, 'elements': [1, 3, 9, 11, 21]}, {'id': 3, 'elements': [1, 3, 6, 10, 18, 20, 21]}, {'id': 4, 'elements': [4, 9, 11, 14, 17]}, {'id': 5, 'elements': [5, 11, 16]}, {'id': 6, 'elements': [6, 9, 10, 15]}, {'id': 7, 'elements': [18, 19, 20]}, {'id': 8, 'elements': [8, 16]}, {'id': 9, 'elements': [1, 2, 3, 4, 6, 9, 10, 11, 12, 17]}, {'id': 10, 'elements': [4, 10, 11, 14]}, {'id': 11, 'elements': [2, 4, 5, 9, 11, 22]}, {'id': 12, 'elements': [2, 5, 8, 9, 12, 16]}, {'id': 13, 'elements': [6, 13, 14, 15]}, {'id': 14, 'elements': [4, 10, 13, 17]}, {'id': 15, 'elements': [5, 11, 12, 16]}, {'id': 16, 'elements': [4, 9, 14]}, {'id': 17, 'elements': [3, 7, 18, 19, 20, 21]}, {'id': 18, 'elements': [7, 18]}, {'id': 19, 'elements': [7, 10, 18, 19, 22]}, {'id': 20, 'elements': [2, 3, 18, 20, 21, 22]}, {'id': 21, 'elements': [1, 11, 20, 21, 22]}], 'graph': {'num_nodes': 22, 'edges': [{'u': 21, 'v': 20}, {'u': 21, 'v': 22}, {'u': 22, 'v': 2}, {'u': 9, 'v': 1}, {'u': 9, 'v': 4}, {'u': 9, 'v': 10}, {'u': 9, 'v': 11}, {'u': 4, 'v': 17}, {'u': 10, 'v': 3}, {'u': 10, 'v': 6}, {'u': 5, 'v': 12}, {'u': 14, 'v': 6}, {'u': 14, 'v': 17}, {'u': 16, 'v': 8}, {'u': 16, 'v': 12}, {'u': 1, 'v': 2}, {'u': 1, 'v': 3}, {'u': 2, 'v': 11}, {'u': 3, 'v': 20}, {'u': 6, 'v': 13}, {'u': 15, 'v': 13}, {'u': 7, 'v': 18}, {'u': 20, 'v': 18}, {'u': 11, 'v': 12}, {'u': 18, 'v': 19}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0029.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0029.png'}","[8, 13, 18, 21]",4.0,"{'num_elements': 22, 'num_sets': 21, 'sets': [{'id': 'S1', 'elements': [0, 1, 2, 8]}, {'id': 'S2', 'elements': [0, 2, 8, 10, 20]}, {'id': 'S3', 'elements': [0, 2, 5, 9, 17, 19, 20]}, {'id': 'S4', 'elements': [3, 8, 10, 13, 16]}, {'id': 'S5', 'elements': [4, 10, 15]}, {'id': 'S6', 'elements': [5, 8, 9, 14]}, {'id': 'S7', 'elements': [17, 18, 19]}, {'id': 'S8', 'elements': [7, 15]}, {'id': 'S9', 'elements': [0, 1, 2, 3, 5, 8, 9, 10, 11, 16]}, {'id': 'S10', 'elements': [3, 9, 10, 13]}, {'id': 'S11', 'elements': [1, 3, 4, 8, 10, 21]}, {'id': 'S12', 'elements': [1, 4, 7, 8, 11, 15]}, {'id': 'S13', 'elements': [5, 12, 13, 14]}, {'id': 'S14', 'elements': [3, 9, 12, 16]}, {'id': 'S15', 'elements': [4, 10, 11, 15]}, {'id': 'S16', 'elements': [3, 8, 13]}, {'id': 'S17', 'elements': [2, 6, 17, 18, 19, 20]}, {'id': 'S18', 'elements': [6, 17]}, {'id': 'S19', 'elements': [6, 9, 17, 18, 21]}, {'id': 'S20', 'elements': [1, 2, 17, 19, 20, 21]}, {'id': 'S21', 'elements': [0, 10, 19, 20, 21]}]}","['S8', 'S13', 'S18', 'S21']",30,nl,0
SP,SP,"Recently the store decided to run a multi-bundle promotion, and the challenge is choosing which bundles to actually run so there are as many distinct bundles available as possible. The simple metric for a good decision is the number of bundles offered — just tally them. One practical constraint: a product can’t be used in more than one of the bundles we pick, so chosen bundles must not share products. The detailed bundle list appears below.
There are 25 candidate bundles covering 25 distinct products.
Bundle S1: A E M R X.
Bundle S2: B G K M O Y.
Bundle S3: B H J O S Y.
Bundle S4: H M Q S W.
Bundle S5: A C E M O S W.
Bundle S6: F H I J L N V.
Bundle S7: G K M O R.
Bundle S8: D F H J M V.
Bundle S9: I J L T.
Bundle S10: B C F H I M.
Bundle S11: B K O X Y.
Bundle S12: F I L V.
Bundle S13: A B C D H K O S W.
Bundle S14: F H I J N P S T V.
Bundle S15: B G K O R.
Bundle S16: P T V.
Bundle S17: E S.
Bundle S18: G K O R U X.
Bundle S19: C D E H J M N O.
Bundle S20: I L P T.
Bundle S21: A E U X.
Bundle S22: F H T V.
Bundle S23: A E Q.
Bundle S24: A E R U X.
Bundle S25: C K O Y.
We should pick as many non-overlapping bundles as possible from these 25, ensuring no product among the 25 is used more than once.
Also, when you send back the chosen bundles, just pop them into this little JSON shape so it's easy to parse:
{
""solution"": [""bundle_id"", ...]
}
Very casual explanation: ""solution"" is the list of bundles we pick, and each entry is the bundle's identifier (that's why there's a placeholder like bundle_id above). Think of it like filling in a short form — which bundles did we choose? — not a strict data-export headache. This is just a sketch of the shape I want, not the actual answer.
Please make sure to use the exact identifiers as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 25, 'num_sets': 25, 'density': 0.2112, 'sets': [{'id': 1, 'elements': [1, 5, 13, 18, 24]}, {'id': 2, 'elements': [2, 7, 11, 13, 15, 25]}, {'id': 3, 'elements': [2, 8, 10, 15, 19, 25]}, {'id': 4, 'elements': [8, 13, 17, 19, 23]}, {'id': 5, 'elements': [1, 3, 5, 13, 15, 19, 23]}, {'id': 6, 'elements': [6, 8, 9, 10, 12, 14, 22]}, {'id': 7, 'elements': [7, 11, 13, 15, 18]}, {'id': 8, 'elements': [4, 6, 8, 10, 13, 22]}, {'id': 9, 'elements': [9, 10, 12, 20]}, {'id': 10, 'elements': [2, 3, 6, 8, 9, 13]}, {'id': 11, 'elements': [2, 11, 15, 24, 25]}, {'id': 12, 'elements': [6, 9, 12, 22]}, {'id': 13, 'elements': [1, 2, 3, 4, 8, 11, 15, 19, 23]}, {'id': 14, 'elements': [6, 8, 9, 10, 14, 16, 19, 20, 22]}, {'id': 15, 'elements': [2, 7, 11, 15, 18]}, {'id': 16, 'elements': [16, 20, 22]}, {'id': 17, 'elements': [5, 19]}, {'id': 18, 'elements': [7, 11, 15, 18, 21, 24]}, {'id': 19, 'elements': [3, 4, 5, 8, 10, 13, 14, 15]}, {'id': 20, 'elements': [9, 12, 16, 20]}, {'id': 21, 'elements': [1, 5, 21, 24]}, {'id': 22, 'elements': [6, 8, 20, 22]}, {'id': 23, 'elements': [1, 5, 17]}, {'id': 24, 'elements': [1, 5, 18, 21, 24]}, {'id': 25, 'elements': [3, 11, 15, 25]}], 'graph': {'num_nodes': 25, 'edges': [{'u': 16, 'v': 22}, {'u': 11, 'v': 7}, {'u': 11, 'v': 15}, {'u': 11, 'v': 18}, {'u': 19, 'v': 4}, {'u': 19, 'v': 8}, {'u': 19, 'v': 13}, {'u': 1, 'v': 5}, {'u': 1, 'v': 21}, {'u': 1, 'v': 24}, {'u': 25, 'v': 2}, {'u': 25, 'v': 7}, {'u': 5, 'v': 13}, {'u': 5, 'v': 23}, {'u': 21, 'v': 24}, {'u': 3, 'v': 2}, {'u': 3, 'v': 10}, {'u': 3, 'v': 13}, {'u': 7, 'v': 15}, {'u': 14, 'v': 6}, {'u': 14, 'v': 8}, {'u': 14, 'v': 22}, {'u': 18, 'v': 24}, {'u': 20, 'v': 12}, {'u': 20, 'v': 22}, {'u': 8, 'v': 10}, {'u': 2, 'v': 15}, {'u': 17, 'v': 4}, {'u': 17, 'v': 23}, {'u': 12, 'v': 9}, {'u': 15, 'v': 13}, {'u': 9, 'v': 6}, {'u': 6, 'v': 10}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0030.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0030.png'}","[4, 16, 21, 25]",4.0,"{'num_elements': 25, 'num_sets': 25, 'sets': [{'id': 'S1', 'elements': ['A', 'E', 'M', 'R', 'X']}, {'id': 'S2', 'elements': ['B', 'G', 'K', 'M', 'O', 'Y']}, {'id': 'S3', 'elements': ['B', 'H', 'J', 'O', 'S', 'Y']}, {'id': 'S4', 'elements': ['H', 'M', 'Q', 'S', 'W']}, {'id': 'S5', 'elements': ['A', 'C', 'E', 'M', 'O', 'S', 'W']}, {'id': 'S6', 'elements': ['F', 'H', 'I', 'J', 'L', 'N', 'V']}, {'id': 'S7', 'elements': ['G', 'K', 'M', 'O', 'R']}, {'id': 'S8', 'elements': ['D', 'F', 'H', 'J', 'M', 'V']}, {'id': 'S9', 'elements': ['I', 'J', 'L', 'T']}, {'id': 'S10', 'elements': ['B', 'C', 'F', 'H', 'I', 'M']}, {'id': 'S11', 'elements': ['B', 'K', 'O', 'X', 'Y']}, {'id': 'S12', 'elements': ['F', 'I', 'L', 'V']}, {'id': 'S13', 'elements': ['A', 'B', 'C', 'D', 'H', 'K', 'O', 'S', 'W']}, {'id': 'S14', 'elements': ['F', 'H', 'I', 'J', 'N', 'P', 'S', 'T', 'V']}, {'id': 'S15', 'elements': ['B', 'G', 'K', 'O', 'R']}, {'id': 'S16', 'elements': ['P', 'T', 'V']}, {'id': 'S17', 'elements': ['E', 'S']}, {'id': 'S18', 'elements': ['G', 'K', 'O', 'R', 'U', 'X']}, {'id': 'S19', 'elements': ['C', 'D', 'E', 'H', 'J', 'M', 'N', 'O']}, {'id': 'S20', 'elements': ['I', 'L', 'P', 'T']}, {'id': 'S21', 'elements': ['A', 'E', 'U', 'X']}, {'id': 'S22', 'elements': ['F', 'H', 'T', 'V']}, {'id': 'S23', 'elements': ['A', 'E', 'Q']}, {'id': 'S24', 'elements': ['A', 'E', 'R', 'U', 'X']}, {'id': 'S25', 'elements': ['C', 'K', 'O', 'Y']}]}","['S4', 'S16', 'S21', 'S25']",31,nl,names
SP,SP,"There’s a coach trying to pack a practice full of useful drills, but every drill pulls in certain athletes. The aim is to include the highest possible number of drills in the session, with the rule that any individual athlete can only appear in one of the drills you pick — if two drills share someone, pick only one of them. You measure success by counting the drills you actually run; higher count is better. The specific drills and the players for each are listed below.
There are 19 distinct athletes and 18 drills listed below:
Drill S1 pulls in athletes 8 10 11 16 17 18.
Drill S2 pulls in athletes 1 5 6.
Drill S3 pulls in athletes 2 5 6 7.
Drill S4 pulls in athletes 0 3 4 6 16.
Drill S5 pulls in athletes 0 3 4 5 9 13 16 18.
Drill S6 pulls in athletes 1 2 4.
Drill S7 pulls in athletes 1 2 3 7.
Drill S8 pulls in athletes 2 6.
Drill S9 pulls in athletes 0 8 17.
Drill S10 pulls in athletes 4 9 10 12.
Drill S11 pulls in athletes 0 9 11.
Drill S12 pulls in athletes 10 11 12.
Drill S13 pulls in athletes 9 11 12.
Drill S14 pulls in athletes 13 15 16.
Drill S15 pulls in athletes 13 14 15 16.
Drill S16 pulls in athletes 0 3 13.
Drill S17 pulls in athletes 0 8 17 18.
Drill S18 pulls in athletes 0 4 9 17 18.
Pick drills so no athlete appears in more than one; count the drills you run — higher is better.
Oh, and when you're ready to tell me which drills made the cut, just send them in this little JSON shape so it's easy to parse:
{
""solution"": [""drill_id"", ...]
}
Think of ""solution"" as the list of drills you'll run, and each ""drill_id"" is the identifier for one drill from the list above. It's just a template showing the expected shape, not the actual answer you need to pick.
Please make sure to use the exact identifiers from the instance input — no renaming and no new labels. Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 18, 'density': 0.2046783625730994, 'sets': [{'id': 1, 'elements': [9, 11, 12, 17, 18, 19]}, {'id': 2, 'elements': [2, 6, 7]}, {'id': 3, 'elements': [3, 6, 7, 8]}, {'id': 4, 'elements': [1, 4, 5, 7, 17]}, {'id': 5, 'elements': [1, 4, 5, 6, 10, 14, 17, 19]}, {'id': 6, 'elements': [2, 3, 5]}, {'id': 7, 'elements': [2, 3, 4, 8]}, {'id': 8, 'elements': [3, 7]}, {'id': 9, 'elements': [1, 9, 18]}, {'id': 10, 'elements': [5, 10, 11, 13]}, {'id': 11, 'elements': [1, 10, 12]}, {'id': 12, 'elements': [11, 12, 13]}, {'id': 13, 'elements': [10, 12, 13]}, {'id': 14, 'elements': [14, 16, 17]}, {'id': 15, 'elements': [14, 15, 16, 17]}, {'id': 16, 'elements': [1, 4, 14]}, {'id': 17, 'elements': [1, 9, 18, 19]}, {'id': 18, 'elements': [1, 5, 10, 18, 19]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 10, 'v': 1}, {'u': 10, 'v': 11}, {'u': 10, 'v': 12}, {'u': 12, 'v': 13}, {'u': 14, 'v': 15}, {'u': 14, 'v': 17}, {'u': 15, 'v': 16}, {'u': 4, 'v': 5}, {'u': 4, 'v': 6}, {'u': 5, 'v': 1}, {'u': 5, 'v': 17}, {'u': 6, 'v': 2}, {'u': 6, 'v': 7}, {'u': 7, 'v': 3}, {'u': 7, 'v': 8}, {'u': 1, 'v': 19}, {'u': 18, 'v': 19}, {'u': 19, 'v': 9}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0031.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0031.png'}","[8, 9, 12, 14]",4.0,"{'num_elements': 19, 'num_sets': 18, 'sets': [{'id': 'S1', 'elements': [8, 10, 11, 16, 17, 18]}, {'id': 'S2', 'elements': [1, 5, 6]}, {'id': 'S3', 'elements': [2, 5, 6, 7]}, {'id': 'S4', 'elements': [0, 3, 4, 6, 16]}, {'id': 'S5', 'elements': [0, 3, 4, 5, 9, 13, 16, 18]}, {'id': 'S6', 'elements': [1, 2, 4]}, {'id': 'S7', 'elements': [1, 2, 3, 7]}, {'id': 'S8', 'elements': [2, 6]}, {'id': 'S9', 'elements': [0, 8, 17]}, {'id': 'S10', 'elements': [4, 9, 10, 12]}, {'id': 'S11', 'elements': [0, 9, 11]}, {'id': 'S12', 'elements': [10, 11, 12]}, {'id': 'S13', 'elements': [9, 11, 12]}, {'id': 'S14', 'elements': [13, 15, 16]}, {'id': 'S15', 'elements': [13, 14, 15, 16]}, {'id': 'S16', 'elements': [0, 3, 13]}, {'id': 'S17', 'elements': [0, 8, 17, 18]}, {'id': 'S18', 'elements': [0, 4, 9, 17, 18]}]}","['S8', 'S9', 'S12', 'S14']",32,nl,0
SP,SP,"Many people underestimate how tricky picking which packed boxes to seal can be when moving; here the job is to choose a group of boxes to tape up today. What “doing well” means here is having as many sealed boxes as possible — you measure that by counting the sealed boxes — and at the same time ensuring that no personal item is included in more than one of those sealed boxes. It’s okay if some packed boxes aren’t sealed; just make sure the sealed ones don’t share belongings. The specific box-by-box contents are shown below.
# total_distinct_belongings=25
# total_boxes_available=25
box_id,box_contents
S1,0 1 4 14 15
S2,0 1 3 4 5 9 11
S3,2 6 7 16
S4,1 3 5 9 11 12
S5,1 4 9 12 14 24
S6,1 9 18 24
S7,6 8
S8,2 6 9 16
S9,6 7 8 9
S10,1 3 4 5 10 17
S11,4 8 9 10 20
S12,0 1 3 11 13 14 15
S13,3 4
S14,3 11 14
S15,0 4 12 13 14
S16,0 1 11 15
S17,2 6 7
S18,9 10 20 21 22
S19,4 5 18
S20,19 20 22
S21,20 21 22 23
S22,17 20 23
S23,17 19 21 22
S24,21 23
S25,4 5 18 24
When you’re ready to reply, just drop the selection into a tiny JSON snippet so it’s easy to parse. For this moving story, it can look like this:
{
""solution"": [""box_id"", ...]
}
Think of ""solution"" as the list of boxes you’ll tape up today — each entry should be the exact box identifier from the instance. This snippet is just a sketch of the shape I expect, not the actual answer itself, so replace the placeholder(s) with the real box IDs.
Please use the identifiers exactly as they appear in the instance input — no renaming, no made-up labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 25, 'num_sets': 25, 'density': 0.168, 'sets': [{'id': 1, 'elements': [1, 2, 5, 15, 16]}, {'id': 2, 'elements': [1, 2, 4, 5, 6, 10, 12]}, {'id': 3, 'elements': [3, 7, 8, 17]}, {'id': 4, 'elements': [2, 4, 6, 10, 12, 13]}, {'id': 5, 'elements': [2, 5, 10, 13, 15, 25]}, {'id': 6, 'elements': [2, 10, 19, 25]}, {'id': 7, 'elements': [7, 9]}, {'id': 8, 'elements': [3, 7, 10, 17]}, {'id': 9, 'elements': [7, 8, 9, 10]}, {'id': 10, 'elements': [2, 4, 5, 6, 11, 18]}, {'id': 11, 'elements': [5, 9, 10, 11, 21]}, {'id': 12, 'elements': [1, 2, 4, 12, 14, 15, 16]}, {'id': 13, 'elements': [4, 5]}, {'id': 14, 'elements': [4, 12, 15]}, {'id': 15, 'elements': [1, 5, 13, 14, 15]}, {'id': 16, 'elements': [1, 2, 12, 16]}, {'id': 17, 'elements': [3, 7, 8]}, {'id': 18, 'elements': [10, 11, 21, 22, 23]}, {'id': 19, 'elements': [5, 6, 19]}, {'id': 20, 'elements': [20, 21, 23]}, {'id': 21, 'elements': [21, 22, 23, 24]}, {'id': 22, 'elements': [18, 21, 24]}, {'id': 23, 'elements': [18, 20, 22, 23]}, {'id': 24, 'elements': [22, 24]}, {'id': 25, 'elements': [5, 6, 19, 25]}], 'graph': {'num_nodes': 25, 'edges': [{'u': 23, 'v': 20}, {'u': 23, 'v': 21}, {'u': 9, 'v': 8}, {'u': 9, 'v': 10}, {'u': 3, 'v': 7}, {'u': 1, 'v': 2}, {'u': 1, 'v': 12}, {'u': 1, 'v': 16}, {'u': 15, 'v': 4}, {'u': 15, 'v': 12}, {'u': 15, 'v': 14}, {'u': 17, 'v': 7}, {'u': 18, 'v': 11}, {'u': 18, 'v': 21}, {'u': 19, 'v': 6}, {'u': 19, 'v': 25}, {'u': 2, 'v': 5}, {'u': 7, 'v': 8}, {'u': 4, 'v': 5}, {'u': 4, 'v': 13}, {'u': 13, 'v': 14}, {'u': 24, 'v': 22}, {'u': 10, 'v': 5}, {'u': 10, 'v': 11}, {'u': 25, 'v': 6}, {'u': 5, 'v': 6}, {'u': 21, 'v': 22}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0032.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0032.png'}","[6, 13, 17, 20, 24]",5.0,"{'num_elements': 25, 'num_sets': 25, 'sets': [{'id': 'S1', 'elements': [0, 1, 4, 14, 15]}, {'id': 'S2', 'elements': [0, 1, 3, 4, 5, 9, 11]}, {'id': 'S3', 'elements': [2, 6, 7, 16]}, {'id': 'S4', 'elements': [1, 3, 5, 9, 11, 12]}, {'id': 'S5', 'elements': [1, 4, 9, 12, 14, 24]}, {'id': 'S6', 'elements': [1, 9, 18, 24]}, {'id': 'S7', 'elements': [6, 8]}, {'id': 'S8', 'elements': [2, 6, 9, 16]}, {'id': 'S9', 'elements': [6, 7, 8, 9]}, {'id': 'S10', 'elements': [1, 3, 4, 5, 10, 17]}, {'id': 'S11', 'elements': [4, 8, 9, 10, 20]}, {'id': 'S12', 'elements': [0, 1, 3, 11, 13, 14, 15]}, {'id': 'S13', 'elements': [3, 4]}, {'id': 'S14', 'elements': [3, 11, 14]}, {'id': 'S15', 'elements': [0, 4, 12, 13, 14]}, {'id': 'S16', 'elements': [0, 1, 11, 15]}, {'id': 'S17', 'elements': [2, 6, 7]}, {'id': 'S18', 'elements': [9, 10, 20, 21, 22]}, {'id': 'S19', 'elements': [4, 5, 18]}, {'id': 'S20', 'elements': [19, 20, 22]}, {'id': 'S21', 'elements': [20, 21, 22, 23]}, {'id': 'S22', 'elements': [17, 20, 23]}, {'id': 'S23', 'elements': [17, 19, 21, 22]}, {'id': 'S24', 'elements': [21, 23]}, {'id': 'S25', 'elements': [4, 5, 18, 24]}]}","['S6', 'S13', 'S17', 'S20', 'S24']",33,csv,0
SP,SP,"Someone on the ad team is trying to put together the busiest, most effective season of influencer collaborations. The better the plan, the more collaborations it includes, so evaluation is just a matter of tallying selected collaborations. The practical restriction is that any individual influencer can only take part in one chosen collaboration, so plans that double-book people aren’t allowed. The full lineup details follow below.
There are 25 distinct influencers available and 22 collaboration options to evaluate.
Collaboration S1 involves influencers K O S.
Collaboration S2 involves influencers B F.
Collaboration S3 involves influencers C G K T W.
Collaboration S4 involves influencers D I M R.
Collaboration S5 involves influencers E H V.
Collaboration S6 involves influencers B H V.
Collaboration S7 involves influencers E F H O V.
Collaboration S8 involves influencers I M R.
Collaboration S9 involves influencers J L Y.
Collaboration S10 involves influencers C D K M O T.
Collaboration S11 involves influencers K L T Y.
Collaboration S12 involves influencers D I K R X.
Collaboration S13 involves influencers N O P U.
Collaboration S14 involves influencers E H K O P S U.
Collaboration S15 involves influencers C Q.
Collaboration S16 involves influencers D K M S X.
Collaboration S17 involves influencers A K O R S T.
Collaboration S18 involves influencers C J K R S T W.
Collaboration S19 involves influencers N O P U V.
Collaboration S20 involves influencers B F H O S U V.
Collaboration S21 involves influencers G Q.
Collaboration S22 involves influencers J L T Y.
They should pick as many collaborations as possible while ensuring no influencer is booked in more than one chosen collaboration.
When you send back the chosen plan, just drop it into a tiny JSON object like this — keeps things simple:
{
""solution"": [""collab_id"", ...]
}
This just means: put the selected collaboration IDs in the ""solution"" list. ""collab_id"" is a placeholder showing the format — you'll replace those placeholders with the actual IDs from the instance. It's just a sketch of the shape I want, not the final answer itself.
Please use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 25, 'num_sets': 22, 'density': 0.17272727272727273, 'sets': [{'id': 1, 'elements': [11, 15, 19]}, {'id': 2, 'elements': [2, 6]}, {'id': 3, 'elements': [3, 7, 11, 20, 23]}, {'id': 4, 'elements': [4, 9, 13, 18]}, {'id': 5, 'elements': [5, 8, 22]}, {'id': 6, 'elements': [2, 8, 22]}, {'id': 7, 'elements': [5, 6, 8, 15, 22]}, {'id': 8, 'elements': [9, 13, 18]}, {'id': 9, 'elements': [10, 12, 25]}, {'id': 10, 'elements': [3, 4, 11, 13, 15, 20]}, {'id': 11, 'elements': [11, 12, 20, 25]}, {'id': 12, 'elements': [4, 9, 11, 18, 24]}, {'id': 13, 'elements': [14, 15, 16, 21]}, {'id': 14, 'elements': [5, 8, 11, 15, 16, 19, 21]}, {'id': 15, 'elements': [3, 17]}, {'id': 16, 'elements': [4, 11, 13, 19, 24]}, {'id': 17, 'elements': [1, 11, 15, 18, 19, 20]}, {'id': 18, 'elements': [3, 10, 11, 18, 19, 20, 23]}, {'id': 19, 'elements': [14, 15, 16, 21, 22]}, {'id': 20, 'elements': [2, 6, 8, 15, 19, 21, 22]}, {'id': 21, 'elements': [7, 17]}, {'id': 22, 'elements': [10, 12, 20, 25]}], 'graph': {'num_nodes': 25, 'edges': [{'u': 5, 'v': 22}, {'u': 6, 'v': 8}, {'u': 22, 'v': 8}, {'u': 22, 'v': 15}, {'u': 14, 'v': 21}, {'u': 10, 'v': 12}, {'u': 25, 'v': 12}, {'u': 8, 'v': 2}, {'u': 11, 'v': 18}, {'u': 11, 'v': 19}, {'u': 11, 'v': 20}, {'u': 1, 'v': 19}, {'u': 13, 'v': 4}, {'u': 13, 'v': 18}, {'u': 13, 'v': 24}, {'u': 4, 'v': 9}, {'u': 4, 'v': 18}, {'u': 12, 'v': 20}, {'u': 3, 'v': 7}, {'u': 3, 'v': 20}, {'u': 3, 'v': 23}, {'u': 19, 'v': 15}, {'u': 21, 'v': 15}, {'u': 21, 'v': 16}, {'u': 17, 'v': 23}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0033.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0033.png'}","[2, 5, 8, 9, 13, 21]",6.0,"{'num_elements': 25, 'num_sets': 22, 'sets': [{'id': 'S1', 'elements': ['K', 'O', 'S']}, {'id': 'S2', 'elements': ['B', 'F']}, {'id': 'S3', 'elements': ['C', 'G', 'K', 'T', 'W']}, {'id': 'S4', 'elements': ['D', 'I', 'M', 'R']}, {'id': 'S5', 'elements': ['E', 'H', 'V']}, {'id': 'S6', 'elements': ['B', 'H', 'V']}, {'id': 'S7', 'elements': ['E', 'F', 'H', 'O', 'V']}, {'id': 'S8', 'elements': ['I', 'M', 'R']}, {'id': 'S9', 'elements': ['J', 'L', 'Y']}, {'id': 'S10', 'elements': ['C', 'D', 'K', 'M', 'O', 'T']}, {'id': 'S11', 'elements': ['K', 'L', 'T', 'Y']}, {'id': 'S12', 'elements': ['D', 'I', 'K', 'R', 'X']}, {'id': 'S13', 'elements': ['N', 'O', 'P', 'U']}, {'id': 'S14', 'elements': ['E', 'H', 'K', 'O', 'P', 'S', 'U']}, {'id': 'S15', 'elements': ['C', 'Q']}, {'id': 'S16', 'elements': ['D', 'K', 'M', 'S', 'X']}, {'id': 'S17', 'elements': ['A', 'K', 'O', 'R', 'S', 'T']}, {'id': 'S18', 'elements': ['C', 'J', 'K', 'R', 'S', 'T', 'W']}, {'id': 'S19', 'elements': ['N', 'O', 'P', 'U', 'V']}, {'id': 'S20', 'elements': ['B', 'F', 'H', 'O', 'S', 'U', 'V']}, {'id': 'S21', 'elements': ['G', 'Q']}, {'id': 'S22', 'elements': ['J', 'L', 'T', 'Y']}]}","['S2', 'S5', 'S8', 'S9', 'S13', 'S21']",34,nl,names
SP,SP,"Someone at the depot needs to build tomorrow’s plan by selecting delivery runs, trying to cram in as many runs as possible. How to compare plans is straightforward: whichever plan has more runs wins — count the runs to see. The only practical rule is that no customer can be scheduled on more than one of the picked runs, so the runs must not share stops. The full list of runs and customer stops follows below.
- **total_customers**: 20
- **total_runs**: 18
| run_id | run_customers |
|---|---|
| S1 | 1 2 7 |
| S2 | 1 2 7 12 13 17 20 |
| S3 | 4 10 13 |
| S4 | 3 6 7 10 |
| S5 | 5 6 14 15 16 |
| S6 | 4 5 6 10 15 16 |
| S7 | 1 2 4 7 8 13 19 |
| S8 | 7 9 17 19 |
| S9 | 3 6 |
| S10 | 2 12 20 |
| S11 | 2 3 7 10 13 17 |
| S12 | 14 16 |
| S13 | 6 11 15 16 |
| S14 | 6 11 14 15 16 |
| S15 | 2 7 8 9 17 18 19 |
| S16 | 17 18 |
| S17 | 7 8 17 |
| S18 | 12 20 |
If you want the plan in a machine-friendly nibble, I'll hand it over in a tiny JSON shape like this:
{
""solution"": [""run_id"", ...]
}
Here ""solution"" is just the list of chosen runs (one entry per run). Think of each string in that array as the exact run label from the input — the stops in a run are implied by that label. This JSON is only a sketch of the expected shape, not the actual answer itself.
All identifiers must be used exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 20, 'num_sets': 18, 'density': 0.20833333333333334, 'sets': [{'id': 1, 'elements': [1, 2, 7]}, {'id': 2, 'elements': [1, 2, 7, 12, 13, 17, 20]}, {'id': 3, 'elements': [4, 10, 13]}, {'id': 4, 'elements': [3, 6, 7, 10]}, {'id': 5, 'elements': [5, 6, 14, 15, 16]}, {'id': 6, 'elements': [4, 5, 6, 10, 15, 16]}, {'id': 7, 'elements': [1, 2, 4, 7, 8, 13, 19]}, {'id': 8, 'elements': [7, 9, 17, 19]}, {'id': 9, 'elements': [3, 6]}, {'id': 10, 'elements': [2, 12, 20]}, {'id': 11, 'elements': [2, 3, 7, 10, 13, 17]}, {'id': 12, 'elements': [14, 16]}, {'id': 13, 'elements': [6, 11, 15, 16]}, {'id': 14, 'elements': [6, 11, 14, 15, 16]}, {'id': 15, 'elements': [2, 7, 8, 9, 17, 18, 19]}, {'id': 16, 'elements': [17, 18]}, {'id': 17, 'elements': [7, 8, 17]}, {'id': 18, 'elements': [12, 20]}], 'graph': {'num_nodes': 20, 'edges': [{'u': 16, 'v': 5}, {'u': 16, 'v': 6}, {'u': 16, 'v': 15}, {'u': 8, 'v': 9}, {'u': 8, 'v': 17}, {'u': 14, 'v': 5}, {'u': 15, 'v': 11}, {'u': 13, 'v': 4}, {'u': 13, 'v': 7}, {'u': 18, 'v': 19}, {'u': 19, 'v': 17}, {'u': 17, 'v': 7}, {'u': 10, 'v': 4}, {'u': 10, 'v': 6}, {'u': 1, 'v': 2}, {'u': 1, 'v': 12}, {'u': 1, 'v': 20}, {'u': 2, 'v': 7}, {'u': 3, 'v': 4}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0034.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0034.png'}","[1, 3, 9, 12, 16, 18]",6.0,"{'num_elements': 20, 'num_sets': 18, 'sets': [{'id': 'S1', 'elements': [1, 2, 7]}, {'id': 'S2', 'elements': [1, 2, 7, 12, 13, 17, 20]}, {'id': 'S3', 'elements': [4, 10, 13]}, {'id': 'S4', 'elements': [3, 6, 7, 10]}, {'id': 'S5', 'elements': [5, 6, 14, 15, 16]}, {'id': 'S6', 'elements': [4, 5, 6, 10, 15, 16]}, {'id': 'S7', 'elements': [1, 2, 4, 7, 8, 13, 19]}, {'id': 'S8', 'elements': [7, 9, 17, 19]}, {'id': 'S9', 'elements': [3, 6]}, {'id': 'S10', 'elements': [2, 12, 20]}, {'id': 'S11', 'elements': [2, 3, 7, 10, 13, 17]}, {'id': 'S12', 'elements': [14, 16]}, {'id': 'S13', 'elements': [6, 11, 15, 16]}, {'id': 'S14', 'elements': [6, 11, 14, 15, 16]}, {'id': 'S15', 'elements': [2, 7, 8, 9, 17, 18, 19]}, {'id': 'S16', 'elements': [17, 18]}, {'id': 'S17', 'elements': [7, 8, 17]}, {'id': 'S18', 'elements': [12, 20]}]}","['S1', 'S3', 'S9', 'S12', 'S16', 'S18']",35,markdown_table,1
SP,SP,"There’s a challenge at the community center: choose which after-school activities to offer so the schedule has as many different groups as possible, but make sure no child ends up on two rosters from the selected list. The way to see how well this goes is to count how many groups are on the final schedule — that’s the score — and every chosen group’s participants must be entirely separate from the participants of every other chosen group. The concrete sign-ups and group rosters follow below.
There are 23 group rosters listing 24 distinct children in total.
Group S1 roster: 1 2 3 8 11 16 17.
Group S2 roster: 2 8 12 13.
Group S3 roster: 1 3.
Group S4 roster: 11 19.
Group S5 roster: 6 7 9 20.
Group S6 roster: 6 7 9 21 22 23 24.
Group S7 roster: 1 2 12 13.
Group S8 roster: 6 7 9 18 22.
Group S9 roster: 10 15.
Group S10 roster: 1 4 16 17 19 20.
Group S11 roster: 1 2 5 12 13.
Group S12 roster: 3 5.
Group S13 roster: 10 14.
Group S14 roster: 10 15 16 17.
Group S15 roster: 1 3 11 13 15 16 17 19.
Group S16 roster: 1 11 14 15 17.
Group S17 roster: 6 9 21.
Group S18 roster: 4 18.
Group S19 roster: 4 6 9 11 18 19 20 21.
Group S20 roster: 6 7 9 18 20.
Group S21 roster: 7 24.
Group S22 roster: 7 22 23 24.
Group S23 roster: 7 23 24.
Choose groups so no child appears in more than one chosen roster; your score is the number of groups scheduled.
Just drop your final selection in that format so I can read it reliably — something small and tidy like this:
{
""solution"": [""group_id"", ...]
}
Here ""solution"" is the list of the after-school groups you want on the schedule, and each entry in the array is the ID of a chosen group. Think of it as the simple form I'd fill out for you: one field, a list of the groups to run. This JSON is just a sketch of the shape I need — not the actual answer itself.
Please use the exact identifiers from the sign-up sheet — don't rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 24, 'num_sets': 23, 'density': 0.17391304347826086, 'sets': [{'id': 1, 'elements': [1, 2, 3, 8, 11, 16, 17]}, {'id': 2, 'elements': [2, 8, 12, 13]}, {'id': 3, 'elements': [1, 3]}, {'id': 4, 'elements': [11, 19]}, {'id': 5, 'elements': [6, 7, 9, 20]}, {'id': 6, 'elements': [6, 7, 9, 21, 22, 23, 24]}, {'id': 7, 'elements': [1, 2, 12, 13]}, {'id': 8, 'elements': [6, 7, 9, 18, 22]}, {'id': 9, 'elements': [10, 15]}, {'id': 10, 'elements': [1, 4, 16, 17, 19, 20]}, {'id': 11, 'elements': [1, 2, 5, 12, 13]}, {'id': 12, 'elements': [3, 5]}, {'id': 13, 'elements': [10, 14]}, {'id': 14, 'elements': [10, 15, 16, 17]}, {'id': 15, 'elements': [1, 3, 11, 13, 15, 16, 17, 19]}, {'id': 16, 'elements': [1, 11, 14, 15, 17]}, {'id': 17, 'elements': [6, 9, 21]}, {'id': 18, 'elements': [4, 18]}, {'id': 19, 'elements': [4, 6, 9, 11, 18, 19, 20, 21]}, {'id': 20, 'elements': [6, 7, 9, 18, 20]}, {'id': 21, 'elements': [7, 24]}, {'id': 22, 'elements': [7, 22, 23, 24]}, {'id': 23, 'elements': [7, 23, 24]}], 'graph': {'num_nodes': 24, 'edges': [{'u': 11, 'v': 16}, {'u': 11, 'v': 19}, {'u': 12, 'v': 5}, {'u': 12, 'v': 13}, {'u': 13, 'v': 1}, {'u': 13, 'v': 2}, {'u': 13, 'v': 8}, {'u': 23, 'v': 22}, {'u': 20, 'v': 18}, {'u': 20, 'v': 19}, {'u': 20, 'v': 21}, {'u': 21, 'v': 9}, {'u': 22, 'v': 7}, {'u': 22, 'v': 24}, {'u': 10, 'v': 14}, {'u': 14, 'v': 15}, {'u': 15, 'v': 17}, {'u': 16, 'v': 1}, {'u': 16, 'v': 17}, {'u': 4, 'v': 19}, {'u': 18, 'v': 6}, {'u': 6, 'v': 9}, {'u': 7, 'v': 9}, {'u': 1, 'v': 3}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0035.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0035.png'}","[2, 4, 9, 12, 17, 18, 21]",7.0,"{'num_elements': 24, 'num_sets': 23, 'sets': [{'id': 'S1', 'elements': [1, 2, 3, 8, 11, 16, 17]}, {'id': 'S2', 'elements': [2, 8, 12, 13]}, {'id': 'S3', 'elements': [1, 3]}, {'id': 'S4', 'elements': [11, 19]}, {'id': 'S5', 'elements': [6, 7, 9, 20]}, {'id': 'S6', 'elements': [6, 7, 9, 21, 22, 23, 24]}, {'id': 'S7', 'elements': [1, 2, 12, 13]}, {'id': 'S8', 'elements': [6, 7, 9, 18, 22]}, {'id': 'S9', 'elements': [10, 15]}, {'id': 'S10', 'elements': [1, 4, 16, 17, 19, 20]}, {'id': 'S11', 'elements': [1, 2, 5, 12, 13]}, {'id': 'S12', 'elements': [3, 5]}, {'id': 'S13', 'elements': [10, 14]}, {'id': 'S14', 'elements': [10, 15, 16, 17]}, {'id': 'S15', 'elements': [1, 3, 11, 13, 15, 16, 17, 19]}, {'id': 'S16', 'elements': [1, 11, 14, 15, 17]}, {'id': 'S17', 'elements': [6, 9, 21]}, {'id': 'S18', 'elements': [4, 18]}, {'id': 'S19', 'elements': [4, 6, 9, 11, 18, 19, 20, 21]}, {'id': 'S20', 'elements': [6, 7, 9, 18, 20]}, {'id': 'S21', 'elements': [7, 24]}, {'id': 'S22', 'elements': [7, 22, 23, 24]}, {'id': 'S23', 'elements': [7, 23, 24]}]}","['S2', 'S4', 'S9', 'S12', 'S17', 'S18', 'S21']",36,nl,1
SP,SP,"I’m running the reading circles at the library and have a pile of proposed book discussion sessions, each with its own list of signed-up patrons. The job is to pick as many of those whole sessions to run as possible — success is simply the total number of sessions offered (just count them). The catch is that if a patron appears on two different session sign-up lists, only one of those sessions can be chosen, and every chosen session must be run with all its listed attendees; no splitting or double-booking people. The exact sign-ups and session details are shown below.
# total_patrons=22
# total_sessions_proposed=21
session_id,patron_ids
S1,7 18 19
S2,4 7 14 16 18
S3,3 6 9
S4,2 4 14 18
S5,5 14 16 21
S6,9 15
S7,2 7
S8,9 13
S9,3 8 11
S10,12 22
S11,11 12 13 15 16 17 20 21
S12,10 11 12 20 21
S13,9 11 13
S14,2 5 14 21
S15,3 6 9 11 15
S16,2 5 11 14 16 17 21
S17,11 16 21
S18,1 4 14 18
S19,1 7 19
S20,12 20
S21,9 11 12 14 16 17
When you’re ready to tell me which sessions to run, just send the choices back using a tiny JSON like this:
{
""solution"": [""session_id"", ...]
}
Think of ""solution"" as the form field where you list the session IDs you want to run. Each entry in the array is one whole session — use the exact session identifier from the input for each chosen session. This JSON is just a sketch of the shape I expect, not the actual answer itself.
Please make sure to use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 22, 'num_sets': 21, 'density': 0.17316017316017315, 'sets': [{'id': 1, 'elements': [7, 18, 19]}, {'id': 2, 'elements': [4, 7, 14, 16, 18]}, {'id': 3, 'elements': [3, 6, 9]}, {'id': 4, 'elements': [2, 4, 14, 18]}, {'id': 5, 'elements': [5, 14, 16, 21]}, {'id': 6, 'elements': [9, 15]}, {'id': 7, 'elements': [2, 7]}, {'id': 8, 'elements': [9, 13]}, {'id': 9, 'elements': [3, 8, 11]}, {'id': 10, 'elements': [12, 22]}, {'id': 11, 'elements': [11, 12, 13, 15, 16, 17, 20, 21]}, {'id': 12, 'elements': [10, 11, 12, 20, 21]}, {'id': 13, 'elements': [9, 11, 13]}, {'id': 14, 'elements': [2, 5, 14, 21]}, {'id': 15, 'elements': [3, 6, 9, 11, 15]}, {'id': 16, 'elements': [2, 5, 11, 14, 16, 17, 21]}, {'id': 17, 'elements': [11, 16, 21]}, {'id': 18, 'elements': [1, 4, 14, 18]}, {'id': 19, 'elements': [1, 7, 19]}, {'id': 20, 'elements': [12, 20]}, {'id': 21, 'elements': [9, 11, 12, 14, 16, 17]}], 'graph': {'num_nodes': 22, 'edges': [{'u': 3, 'v': 15}, {'u': 15, 'v': 6}, {'u': 15, 'v': 9}, {'u': 4, 'v': 2}, {'u': 5, 'v': 16}, {'u': 9, 'v': 11}, {'u': 9, 'v': 13}, {'u': 7, 'v': 1}, {'u': 7, 'v': 18}, {'u': 7, 'v': 19}, {'u': 16, 'v': 14}, {'u': 16, 'v': 21}, {'u': 17, 'v': 21}, {'u': 14, 'v': 2}, {'u': 10, 'v': 20}, {'u': 11, 'v': 12}, {'u': 11, 'v': 21}, {'u': 12, 'v': 20}, {'u': 8, 'v': 13}, {'u': 20, 'v': 22}, {'u': 18, 'v': 2}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0036.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0036.png'}","[5, 7, 8, 9, 10]",5.0,"{'num_elements': 22, 'num_sets': 21, 'sets': [{'id': 'S1', 'elements': [7, 18, 19]}, {'id': 'S2', 'elements': [4, 7, 14, 16, 18]}, {'id': 'S3', 'elements': [3, 6, 9]}, {'id': 'S4', 'elements': [2, 4, 14, 18]}, {'id': 'S5', 'elements': [5, 14, 16, 21]}, {'id': 'S6', 'elements': [9, 15]}, {'id': 'S7', 'elements': [2, 7]}, {'id': 'S8', 'elements': [9, 13]}, {'id': 'S9', 'elements': [3, 8, 11]}, {'id': 'S10', 'elements': [12, 22]}, {'id': 'S11', 'elements': [11, 12, 13, 15, 16, 17, 20, 21]}, {'id': 'S12', 'elements': [10, 11, 12, 20, 21]}, {'id': 'S13', 'elements': [9, 11, 13]}, {'id': 'S14', 'elements': [2, 5, 14, 21]}, {'id': 'S15', 'elements': [3, 6, 9, 11, 15]}, {'id': 'S16', 'elements': [2, 5, 11, 14, 16, 17, 21]}, {'id': 'S17', 'elements': [11, 16, 21]}, {'id': 'S18', 'elements': [1, 4, 14, 18]}, {'id': 'S19', 'elements': [1, 7, 19]}, {'id': 'S20', 'elements': [12, 20]}, {'id': 'S21', 'elements': [9, 11, 12, 14, 16, 17]}]}","['S5', 'S7', 'S8', 'S9', 'S10']",37,csv,1
SP,SP,"We on the activities committee have to sort out which club meetings actually happen next month. The idea is to get as many different clubs running as we can; progress is measured by counting how many meetings make it onto the final plan. That only works if no student appears in two of those chosen meetings — every chosen meeting needs its own distinct set of students. The exact club names and student lists are provided below.
We have 20 club meeting options and 21 distinct students in the roster.
We list S1 with students 0 8 12 15 18.
We list S2 with students 4 5 17.
We list S3 with students 2 3 7 11 16 19.
We list S4 with students 3 10 14 20.
We list S5 with students 1 4 9 12 16.
We list S6 with students 1 5 6 8 9 10 13 16 19.
We list S7 with students 2 5 6 8 10 11.
We list S8 with students 2 3 7 16.
We list S9 with students 0 6 8 15 16 18 19.
We list S10 with students 4 5 9 15 16 17 19.
We list S11 with students 5 6 10 16 19 20.
We list S12 with students 2 19.
We list S13 with students 12 15.
We list S14 with students 5 10 16 19.
We list S15 with students 0 8 9 12 17.
We list S16 with students 2 3 5 6 13 19.
We list S17 with students 1 4 9 12 15.
We list S18 with students 8 15 18.
We list S19 with students 0 2 4 6 8 9 10 11 13 19.
We list S20 with students 10 14 20.
We'll try to schedule as many meetings as possible without any student appearing in more than one chosen meeting.
Oh, and when you send the final plan back, please put it in this simple JSON shape so it's easy to read by whoever's compiling the schedule:
{
""solution"": [""meeting_id"", ...]
}
Think of it like a little form: ""solution"" is the list of meetings we want to run, and each entry is the identifier for one chosen meeting. The example above is just the shape I expect — not the real answer, just a sketch of how to format your reply.
Please use the meeting identifiers exactly as they appear in the instance input — no renaming, no made-up labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 21, 'num_sets': 20, 'density': 0.24285714285714285, 'sets': [{'id': 1, 'elements': [1, 9, 13, 16, 19]}, {'id': 2, 'elements': [5, 6, 18]}, {'id': 3, 'elements': [3, 4, 8, 12, 17, 20]}, {'id': 4, 'elements': [4, 11, 15, 21]}, {'id': 5, 'elements': [2, 5, 10, 13, 17]}, {'id': 6, 'elements': [2, 6, 7, 9, 10, 11, 14, 17, 20]}, {'id': 7, 'elements': [3, 6, 7, 9, 11, 12]}, {'id': 8, 'elements': [3, 4, 8, 17]}, {'id': 9, 'elements': [1, 7, 9, 16, 17, 19, 20]}, {'id': 10, 'elements': [5, 6, 10, 16, 17, 18, 20]}, {'id': 11, 'elements': [6, 7, 11, 17, 20, 21]}, {'id': 12, 'elements': [3, 20]}, {'id': 13, 'elements': [13, 16]}, {'id': 14, 'elements': [6, 11, 17, 20]}, {'id': 15, 'elements': [1, 9, 10, 13, 18]}, {'id': 16, 'elements': [3, 4, 6, 7, 14, 20]}, {'id': 17, 'elements': [2, 5, 10, 13, 16]}, {'id': 18, 'elements': [9, 16, 19]}, {'id': 19, 'elements': [1, 3, 5, 7, 9, 10, 11, 12, 14, 20]}, {'id': 20, 'elements': [11, 15, 21]}], 'graph': {'num_nodes': 21, 'edges': [{'u': 6, 'v': 5}, {'u': 6, 'v': 10}, {'u': 6, 'v': 17}, {'u': 6, 'v': 20}, {'u': 20, 'v': 7}, {'u': 20, 'v': 9}, {'u': 20, 'v': 17}, {'u': 21, 'v': 4}, {'u': 1, 'v': 9}, {'u': 1, 'v': 16}, {'u': 1, 'v': 19}, {'u': 2, 'v': 5}, {'u': 12, 'v': 7}, {'u': 15, 'v': 4}, {'u': 16, 'v': 13}, {'u': 11, 'v': 3}, {'u': 11, 'v': 4}, {'u': 11, 'v': 8}, {'u': 11, 'v': 17}, {'u': 5, 'v': 18}, {'u': 3, 'v': 7}, {'u': 10, 'v': 13}, {'u': 13, 'v': 18}, {'u': 14, 'v': 17}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0037.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0037.png'}","[2, 12, 18, 20]",4.0,"{'num_elements': 21, 'num_sets': 20, 'sets': [{'id': 'S1', 'elements': [0, 8, 12, 15, 18]}, {'id': 'S2', 'elements': [4, 5, 17]}, {'id': 'S3', 'elements': [2, 3, 7, 11, 16, 19]}, {'id': 'S4', 'elements': [3, 10, 14, 20]}, {'id': 'S5', 'elements': [1, 4, 9, 12, 16]}, {'id': 'S6', 'elements': [1, 5, 6, 8, 9, 10, 13, 16, 19]}, {'id': 'S7', 'elements': [2, 5, 6, 8, 10, 11]}, {'id': 'S8', 'elements': [2, 3, 7, 16]}, {'id': 'S9', 'elements': [0, 6, 8, 15, 16, 18, 19]}, {'id': 'S10', 'elements': [4, 5, 9, 15, 16, 17, 19]}, {'id': 'S11', 'elements': [5, 6, 10, 16, 19, 20]}, {'id': 'S12', 'elements': [2, 19]}, {'id': 'S13', 'elements': [12, 15]}, {'id': 'S14', 'elements': [5, 10, 16, 19]}, {'id': 'S15', 'elements': [0, 8, 9, 12, 17]}, {'id': 'S16', 'elements': [2, 3, 5, 6, 13, 19]}, {'id': 'S17', 'elements': [1, 4, 9, 12, 15]}, {'id': 'S18', 'elements': [8, 15, 18]}, {'id': 'S19', 'elements': [0, 2, 4, 6, 8, 9, 10, 11, 13, 19]}, {'id': 'S20', 'elements': [10, 14, 20]}]}","['S2', 'S12', 'S18', 'S20']",38,nl,0
SP,SP,"Someone in the marketing department has a stack of targeted campaigns and wants to run as many as possible, but each campaign pulls in certain consumer segments. To keep things clean, no consumer segment may be included in more than one campaign that’s actually run, so overlapping campaigns can’t both be selected. The better the selection, the more separate campaigns are launched — simply count how many make the cut. The detailed campaign and segment info follows below.
{
""num_consumer_segments"": 21,
""num_campaigns"": 18,
""sets"": [
{
""campaign_id"": ""S1"",
""target_segments"": [
1,
4,
11,
13
]
},
{
""campaign_id"": ""S2"",
""target_segments"": [
11,
16,
21
]
},
{
""campaign_id"": ""S3"",
""target_segments"": [
4,
11,
14
]
},
{
""campaign_id"": ""S4"",
""target_segments"": [
9,
11,
13,
17,
20,
21
]
},
{
""campaign_id"": ""S5"",
""target_segments"": [
2,
8,
18,
19
]
},
{
""campaign_id"": ""S6"",
""target_segments"": [
8,
15
]
},
{
""campaign_id"": ""S7"",
""target_segments"": [
9,
20
]
},
{
""campaign_id"": ""S8"",
""target_segments"": [
10,
11,
17
]
},
{
""campaign_id"": ""S9"",
""target_segments"": [
2,
4,
16,
17,
21
]
},
{
""campaign_id"": ""S10"",
""target_segments"": [
12,
19
]
},
{
""campaign_id"": ""S11"",
""target_segments"": [
1,
5,
13,
14,
21
]
},
{
""campaign_id"": ""S12"",
""target_segments"": [
6,
8
]
},
{
""campaign_id"": ""S13"",
""target_segments"": [
3,
16,
21
]
},
{
""campaign_id"": ""S14"",
""target_segments"": [
9,
11,
20
]
},
{
""campaign_id"": ""S15"",
""target_segments"": [
2,
6,
7,
8,
12,
18
]
},
{
""campaign_id"": ""S16"",
""target_segments"": [
6,
7,
12,
19
]
},
{
""campaign_id"": ""S17"",
""target_segments"": [
5,
9,
17,
20
]
},
{
""campaign_id"": ""S18"",
""target_segments"": [
2,
3,
6,
11,
13,
16
]
}
]
}
If you want to hand me the final selection, just drop it in this simple JSON shape so I can pick it up cleanly:
{
""solution"": [""campaign_id"", ...]
}
Think of ""solution"" as the list of campaign IDs you want to run — one entry per chosen campaign. The example value ""campaign_id"" is just a placeholder to show the format; replace those with the actual campaign identifiers from the instance when you submit your answer. This block is just a sketch of the shape I expect, not the actual answer itself.
Please make sure to use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 21, 'num_sets': 18, 'density': 0.17724867724867724, 'sets': [{'id': 1, 'elements': [1, 4, 11, 13]}, {'id': 2, 'elements': [11, 16, 21]}, {'id': 3, 'elements': [4, 11, 14]}, {'id': 4, 'elements': [9, 11, 13, 17, 20, 21]}, {'id': 5, 'elements': [2, 8, 18, 19]}, {'id': 6, 'elements': [8, 15]}, {'id': 7, 'elements': [9, 20]}, {'id': 8, 'elements': [10, 11, 17]}, {'id': 9, 'elements': [2, 4, 16, 17, 21]}, {'id': 10, 'elements': [12, 19]}, {'id': 11, 'elements': [1, 5, 13, 14, 21]}, {'id': 12, 'elements': [6, 8]}, {'id': 13, 'elements': [3, 16, 21]}, {'id': 14, 'elements': [9, 11, 20]}, {'id': 15, 'elements': [2, 6, 7, 8, 12, 18]}, {'id': 16, 'elements': [6, 7, 12, 19]}, {'id': 17, 'elements': [5, 9, 17, 20]}, {'id': 18, 'elements': [2, 3, 6, 11, 13, 16]}], 'graph': {'num_nodes': 21, 'edges': [{'u': 20, 'v': 17}, {'u': 13, 'v': 1}, {'u': 13, 'v': 4}, {'u': 13, 'v': 11}, {'u': 13, 'v': 14}, {'u': 10, 'v': 5}, {'u': 17, 'v': 5}, {'u': 17, 'v': 9}, {'u': 6, 'v': 2}, {'u': 6, 'v': 8}, {'u': 6, 'v': 18}, {'u': 5, 'v': 11}, {'u': 7, 'v': 18}, {'u': 15, 'v': 8}, {'u': 3, 'v': 16}, {'u': 21, 'v': 2}, {'u': 21, 'v': 11}, {'u': 21, 'v': 16}, {'u': 19, 'v': 12}, {'u': 19, 'v': 18}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0038.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0038.png'}","[6, 7, 8, 10, 13]",5.0,"{'num_elements': 21, 'num_sets': 18, 'sets': [{'id': 'S1', 'elements': [1, 4, 11, 13]}, {'id': 'S2', 'elements': [11, 16, 21]}, {'id': 'S3', 'elements': [4, 11, 14]}, {'id': 'S4', 'elements': [9, 11, 13, 17, 20, 21]}, {'id': 'S5', 'elements': [2, 8, 18, 19]}, {'id': 'S6', 'elements': [8, 15]}, {'id': 'S7', 'elements': [9, 20]}, {'id': 'S8', 'elements': [10, 11, 17]}, {'id': 'S9', 'elements': [2, 4, 16, 17, 21]}, {'id': 'S10', 'elements': [12, 19]}, {'id': 'S11', 'elements': [1, 5, 13, 14, 21]}, {'id': 'S12', 'elements': [6, 8]}, {'id': 'S13', 'elements': [3, 16, 21]}, {'id': 'S14', 'elements': [9, 11, 20]}, {'id': 'S15', 'elements': [2, 6, 7, 8, 12, 18]}, {'id': 'S16', 'elements': [6, 7, 12, 19]}, {'id': 'S17', 'elements': [5, 9, 17, 20]}, {'id': 'S18', 'elements': [2, 3, 6, 11, 13, 16]}]}","['S6', 'S7', 'S8', 'S10', 'S13']",39,json,1
SP,SP,"We have a stack of proposed care teams and a limited pool of nurses and aides, so the task is to decide which team combinations to put into service so that the most teams are active. Success is measured by how many teams get the green light — just count them. The catch is that nobody on the roster can be assigned to two active teams at once. The exact team rosters and details follow below.
{
""total_staff_members"": 20,
""number_of_teams_proposed"": 17,
""sets"": [
{
""team_id"": ""S1"",
""team_member_ids"": [
0,
2,
5,
16,
19
]
},
{
""team_id"": ""S2"",
""team_member_ids"": [
1,
6,
7,
17
]
},
{
""team_id"": ""S3"",
""team_member_ids"": [
0,
2,
6,
12,
15,
16,
19
]
},
{
""team_id"": ""S4"",
""team_member_ids"": [
2,
10,
16
]
},
{
""team_id"": ""S5"",
""team_member_ids"": [
8,
10,
16
]
},
{
""team_id"": ""S6"",
""team_member_ids"": [
5,
19
]
},
{
""team_id"": ""S7"",
""team_member_ids"": [
1,
2,
6,
7,
15,
17
]
},
{
""team_id"": ""S8"",
""team_member_ids"": [
1,
6,
7
]
},
{
""team_id"": ""S9"",
""team_member_ids"": [
3,
4,
8,
10,
16,
19
]
},
{
""team_id"": ""S10"",
""team_member_ids"": [
0,
2,
12,
13,
16,
19
]
},
{
""team_id"": ""S11"",
""team_member_ids"": [
0,
2,
11,
12,
14,
16
]
},
{
""team_id"": ""S12"",
""team_member_ids"": [
11,
13,
19
]
},
{
""team_id"": ""S13"",
""team_member_ids"": [
6,
15
]
},
{
""team_id"": ""S14"",
""team_member_ids"": [
0,
2,
3,
4,
8,
10,
11,
12,
16,
18,
19
]
},
{
""team_id"": ""S15"",
""team_member_ids"": [
1,
6,
9,
15,
19
]
},
{
""team_id"": ""S16"",
""team_member_ids"": [
2,
3,
16,
17,
18,
19
]
},
{
""team_id"": ""S17"",
""team_member_ids"": [
0,
5,
10,
12,
13,
16,
17,
18
]
}
]
}
Also, when you send the final selection, please use this simple JSON layout so it's easy to parse:
{
""solution"": [""team_id"", ...]
}
Think of ""solution"" as just a list of the team IDs you want to activate — one string per chosen team. This is only a sketch of the shape I expect, not the actual answer; replace the placeholders with the real IDs from the instance.
Please use the identifiers exactly as they appear in the instance input — no renaming, no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 20, 'num_sets': 17, 'density': 0.2529411764705882, 'sets': [{'id': 1, 'elements': [1, 3, 6, 17, 20]}, {'id': 2, 'elements': [2, 7, 8, 18]}, {'id': 3, 'elements': [1, 3, 7, 13, 16, 17, 20]}, {'id': 4, 'elements': [3, 11, 17]}, {'id': 5, 'elements': [9, 11, 17]}, {'id': 6, 'elements': [6, 20]}, {'id': 7, 'elements': [2, 3, 7, 8, 16, 18]}, {'id': 8, 'elements': [2, 7, 8]}, {'id': 9, 'elements': [4, 5, 9, 11, 17, 20]}, {'id': 10, 'elements': [1, 3, 13, 14, 17, 20]}, {'id': 11, 'elements': [1, 3, 12, 13, 15, 17]}, {'id': 12, 'elements': [12, 14, 20]}, {'id': 13, 'elements': [7, 16]}, {'id': 14, 'elements': [1, 3, 4, 5, 9, 11, 12, 13, 17, 19, 20]}, {'id': 15, 'elements': [2, 7, 10, 16, 20]}, {'id': 16, 'elements': [3, 4, 17, 18, 19, 20]}, {'id': 17, 'elements': [1, 6, 11, 13, 14, 17, 18, 19]}], 'graph': {'num_nodes': 20, 'edges': [{'u': 10, 'v': 16}, {'u': 18, 'v': 3}, {'u': 18, 'v': 7}, {'u': 18, 'v': 16}, {'u': 6, 'v': 1}, {'u': 17, 'v': 4}, {'u': 17, 'v': 11}, {'u': 17, 'v': 20}, {'u': 14, 'v': 12}, {'u': 15, 'v': 13}, {'u': 20, 'v': 1}, {'u': 20, 'v': 3}, {'u': 20, 'v': 12}, {'u': 20, 'v': 13}, {'u': 9, 'v': 11}, {'u': 7, 'v': 2}, {'u': 2, 'v': 8}, {'u': 19, 'v': 3}, {'u': 19, 'v': 4}, {'u': 5, 'v': 11}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0039.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0039.png'}","[4, 6, 13]",3.0,"{'num_elements': 20, 'num_sets': 17, 'sets': [{'id': 'S1', 'elements': [0, 2, 5, 16, 19]}, {'id': 'S2', 'elements': [1, 6, 7, 17]}, {'id': 'S3', 'elements': [0, 2, 6, 12, 15, 16, 19]}, {'id': 'S4', 'elements': [2, 10, 16]}, {'id': 'S5', 'elements': [8, 10, 16]}, {'id': 'S6', 'elements': [5, 19]}, {'id': 'S7', 'elements': [1, 2, 6, 7, 15, 17]}, {'id': 'S8', 'elements': [1, 6, 7]}, {'id': 'S9', 'elements': [3, 4, 8, 10, 16, 19]}, {'id': 'S10', 'elements': [0, 2, 12, 13, 16, 19]}, {'id': 'S11', 'elements': [0, 2, 11, 12, 14, 16]}, {'id': 'S12', 'elements': [11, 13, 19]}, {'id': 'S13', 'elements': [6, 15]}, {'id': 'S14', 'elements': [0, 2, 3, 4, 8, 10, 11, 12, 16, 18, 19]}, {'id': 'S15', 'elements': [1, 6, 9, 15, 19]}, {'id': 'S16', 'elements': [2, 3, 16, 17, 18, 19]}, {'id': 'S17', 'elements': [0, 5, 10, 12, 13, 16, 17, 18]}]}","['S4', 'S6', 'S13']",40,json,0
SP,SP,"There’s a little puzzle at the travel desk: which guided excursions should be offered so the calendar is packed with as many different trips as possible? Each excursion visits a group of landmarks, and the rule is that once a landmark is assigned to a chosen excursion it can’t be part of any other chosen one — no overlaps allowed. A better decision is simply the one that results in the largest number of selected excursions (you can check this by counting them), and the full list of tours and their stops is shown below.
Below are the 20 excursions covering 20 distinct landmarks:
Excursion S1: visits 0 3 11.
Excursion S2: visits 1 6.
Excursion S3: visits 2 7 19.
Excursion S4: visits 0 4 6 8 10 14 17.
Excursion S5: visits 3 4 10 14 17.
Excursion S6: visits 2 3 5 7 10 13 19.
Excursion S7: visits 1 8 11.
Excursion S8: visits 2 3 7 10 14 15 16 19.
Excursion S9: visits 6 8.
Excursion S10: visits 5 7 9 12 13 14 16 19.
Excursion S11: visits 3 4 5 7 10 14 17 18.
Excursion S12: visits 0 3 6 8 17.
Excursion S13: visits 12 13.
Excursion S14: visits 9 13 16.
Excursion S15: visits 3 4 6 7 8 9 11 14.
Excursion S16: visits 2 15.
Excursion S17: visits 7 9 13 19.
Excursion S18: visits 4 6 8 10 11 14 17.
Excursion S19: visits 10 17.
Excursion S20: visits 5 7 9 14 16 19.
Select excursions with no shared landmarks to maximize how many you offer; you can verify this by counting the chosen tours.
Just send back the selected tours in a tiny JSON snippet like this so it's easy to parse:
{
""solution"": [""tour_id"", ...]
}
Think of ""solution"" as the form field that holds your choices — list the identifiers of the excursions you want to offer, one per entry in the array. This JSON is just a sketch of the shape I expect, not the actual answer.
Please use the exact identifiers from the instance input — don't rename them or invent new labels.
For example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 20, 'num_sets': 20, 'density': 0.2375, 'sets': [{'id': 1, 'elements': [1, 4, 12]}, {'id': 2, 'elements': [2, 7]}, {'id': 3, 'elements': [3, 8, 20]}, {'id': 4, 'elements': [1, 5, 7, 9, 11, 15, 18]}, {'id': 5, 'elements': [4, 5, 11, 15, 18]}, {'id': 6, 'elements': [3, 4, 6, 8, 11, 14, 20]}, {'id': 7, 'elements': [2, 9, 12]}, {'id': 8, 'elements': [3, 4, 8, 11, 15, 16, 17, 20]}, {'id': 9, 'elements': [7, 9]}, {'id': 10, 'elements': [6, 8, 10, 13, 14, 15, 17, 20]}, {'id': 11, 'elements': [4, 5, 6, 8, 11, 15, 18, 19]}, {'id': 12, 'elements': [1, 4, 7, 9, 18]}, {'id': 13, 'elements': [13, 14]}, {'id': 14, 'elements': [10, 14, 17]}, {'id': 15, 'elements': [4, 5, 7, 8, 9, 10, 12, 15]}, {'id': 16, 'elements': [3, 16]}, {'id': 17, 'elements': [8, 10, 14, 20]}, {'id': 18, 'elements': [5, 7, 9, 11, 12, 15, 18]}, {'id': 19, 'elements': [11, 18]}, {'id': 20, 'elements': [6, 8, 10, 15, 17, 20]}], 'graph': {'num_nodes': 20, 'edges': [{'u': 20, 'v': 8}, {'u': 20, 'v': 17}, {'u': 12, 'v': 1}, {'u': 12, 'v': 4}, {'u': 7, 'v': 2}, {'u': 7, 'v': 4}, {'u': 7, 'v': 9}, {'u': 13, 'v': 14}, {'u': 14, 'v': 10}, {'u': 5, 'v': 11}, {'u': 5, 'v': 18}, {'u': 5, 'v': 19}, {'u': 11, 'v': 15}, {'u': 3, 'v': 8}, {'u': 3, 'v': 16}, {'u': 4, 'v': 9}, {'u': 4, 'v': 15}, {'u': 4, 'v': 18}, {'u': 8, 'v': 6}, {'u': 8, 'v': 15}, {'u': 17, 'v': 10}, {'u': 10, 'v': 6}, {'u': 6, 'v': 15}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0040.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0040.png'}","[1, 2, 13, 16, 19, 20]",6.0,"{'num_elements': 20, 'num_sets': 20, 'sets': [{'id': 'S1', 'elements': [0, 3, 11]}, {'id': 'S2', 'elements': [1, 6]}, {'id': 'S3', 'elements': [2, 7, 19]}, {'id': 'S4', 'elements': [0, 4, 6, 8, 10, 14, 17]}, {'id': 'S5', 'elements': [3, 4, 10, 14, 17]}, {'id': 'S6', 'elements': [2, 3, 5, 7, 10, 13, 19]}, {'id': 'S7', 'elements': [1, 8, 11]}, {'id': 'S8', 'elements': [2, 3, 7, 10, 14, 15, 16, 19]}, {'id': 'S9', 'elements': [6, 8]}, {'id': 'S10', 'elements': [5, 7, 9, 12, 13, 14, 16, 19]}, {'id': 'S11', 'elements': [3, 4, 5, 7, 10, 14, 17, 18]}, {'id': 'S12', 'elements': [0, 3, 6, 8, 17]}, {'id': 'S13', 'elements': [12, 13]}, {'id': 'S14', 'elements': [9, 13, 16]}, {'id': 'S15', 'elements': [3, 4, 6, 7, 8, 9, 11, 14]}, {'id': 'S16', 'elements': [2, 15]}, {'id': 'S17', 'elements': [7, 9, 13, 19]}, {'id': 'S18', 'elements': [4, 6, 8, 10, 11, 14, 17]}, {'id': 'S19', 'elements': [10, 17]}, {'id': 'S20', 'elements': [5, 7, 9, 14, 16, 19]}]}","['S1', 'S2', 'S13', 'S16', 'S19', 'S20']",41,nl,0
SP,SP,"Our charity has a stack of suggested pickup routes and the planner’s job is to pick the most routes possible to actually run; the performance metric is the count of routes we end up scheduling. The non-negotiable rule is that a particular address cannot appear on more than one scheduled route, so any shared addresses mean only one of the conflicting routes can be selected. The concrete list of routes and their addresses is given below.
- **total_addresses**: 21
- **total_routes**: 20
| route_id | route_addresses |
|---|---|
| S1 | 0 12 18 |
| S2 | 1 3 17 19 |
| S3 | 2 3 4 7 8 17 |
| S4 | 1 3 6 9 18 |
| S5 | 5 10 15 19 |
| S6 | 4 6 17 18 |
| S7 | 3 8 16 17 |
| S8 | 3 7 8 14 |
| S9 | 4 9 12 18 20 |
| S10 | 10 15 17 19 |
| S11 | 2 11 16 |
| S12 | 0 4 |
| S13 | 1 17 |
| S14 | 7 8 |
| S15 | 5 10 |
| S16 | 2 3 11 16 17 |
| S17 | 1 3 4 10 13 16 |
| S18 | 0 4 6 9 17 18 20 |
| S19 | 1 4 5 10 19 |
| S20 | 9 18 |
When you're ready, just send back the chosen routes in a tiny JSON snippet like this so it's easy to parse:
{
""solution"": [""route_id"", ...]
}
This ""solution"" array is just the list of route IDs you want to run — one entry per scheduled route. The placeholder ""route_id"" just stands in for whatever route labels appear in the instance; treat the JSON above as a sketch of the shape I need, not the actual answer.
Please be sure to use the exact route identifiers as they appear in the instance input — don't rename them or make up new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 21, 'num_sets': 20, 'density': 0.1880952380952381, 'sets': [{'id': 1, 'elements': [1, 13, 19]}, {'id': 2, 'elements': [2, 4, 18, 20]}, {'id': 3, 'elements': [3, 4, 5, 8, 9, 18]}, {'id': 4, 'elements': [2, 4, 7, 10, 19]}, {'id': 5, 'elements': [6, 11, 16, 20]}, {'id': 6, 'elements': [5, 7, 18, 19]}, {'id': 7, 'elements': [4, 9, 17, 18]}, {'id': 8, 'elements': [4, 8, 9, 15]}, {'id': 9, 'elements': [5, 10, 13, 19, 21]}, {'id': 10, 'elements': [11, 16, 18, 20]}, {'id': 11, 'elements': [3, 12, 17]}, {'id': 12, 'elements': [1, 5]}, {'id': 13, 'elements': [2, 18]}, {'id': 14, 'elements': [8, 9]}, {'id': 15, 'elements': [6, 11]}, {'id': 16, 'elements': [3, 4, 12, 17, 18]}, {'id': 17, 'elements': [2, 4, 5, 11, 14, 17]}, {'id': 18, 'elements': [1, 5, 7, 10, 18, 19, 21]}, {'id': 19, 'elements': [2, 5, 6, 11, 20]}, {'id': 20, 'elements': [10, 19]}], 'graph': {'num_nodes': 21, 'edges': [{'u': 12, 'v': 3}, {'u': 11, 'v': 6}, {'u': 11, 'v': 20}, {'u': 7, 'v': 5}, {'u': 1, 'v': 13}, {'u': 21, 'v': 10}, {'u': 10, 'v': 19}, {'u': 19, 'v': 5}, {'u': 19, 'v': 13}, {'u': 4, 'v': 8}, {'u': 4, 'v': 17}, {'u': 4, 'v': 18}, {'u': 16, 'v': 6}, {'u': 14, 'v': 2}, {'u': 5, 'v': 18}, {'u': 3, 'v': 17}, {'u': 15, 'v': 9}, {'u': 8, 'v': 9}, {'u': 20, 'v': 18}, {'u': 18, 'v': 2}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0041.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0041.png'}","[11, 12, 13, 14, 15, 20]",6.0,"{'num_elements': 21, 'num_sets': 20, 'sets': [{'id': 'S1', 'elements': [0, 12, 18]}, {'id': 'S2', 'elements': [1, 3, 17, 19]}, {'id': 'S3', 'elements': [2, 3, 4, 7, 8, 17]}, {'id': 'S4', 'elements': [1, 3, 6, 9, 18]}, {'id': 'S5', 'elements': [5, 10, 15, 19]}, {'id': 'S6', 'elements': [4, 6, 17, 18]}, {'id': 'S7', 'elements': [3, 8, 16, 17]}, {'id': 'S8', 'elements': [3, 7, 8, 14]}, {'id': 'S9', 'elements': [4, 9, 12, 18, 20]}, {'id': 'S10', 'elements': [10, 15, 17, 19]}, {'id': 'S11', 'elements': [2, 11, 16]}, {'id': 'S12', 'elements': [0, 4]}, {'id': 'S13', 'elements': [1, 17]}, {'id': 'S14', 'elements': [7, 8]}, {'id': 'S15', 'elements': [5, 10]}, {'id': 'S16', 'elements': [2, 3, 11, 16, 17]}, {'id': 'S17', 'elements': [1, 3, 4, 10, 13, 16]}, {'id': 'S18', 'elements': [0, 4, 6, 9, 17, 18, 20]}, {'id': 'S19', 'elements': [1, 4, 5, 10, 19]}, {'id': 'S20', 'elements': [9, 18]}]}","['S11', 'S12', 'S13', 'S14', 'S15', 'S20']",42,markdown_table,0
SP,SP,"Recently the registrar’s team was handed dozens of elective seminar submissions and the task was to pick the largest possible set to run this semester. The measure of success is straightforward: how many seminars end up on the schedule — count them up. One real-world constraint is that no single instructor can be listed to teach more than one of the selected seminars, meaning two proposals that need the same person can’t both be approved. The exact proposals and instructor names follow below.
{
""total_instructors"": 19,
""total_proposals"": 17,
""sets"": [
{
""proposal_id"": ""S1"",
""instructor_names"": [
2,
10,
15,
19
]
},
{
""proposal_id"": ""S2"",
""instructor_names"": [
3,
6,
10
]
},
{
""proposal_id"": ""S3"",
""instructor_names"": [
4,
9,
14
]
},
{
""proposal_id"": ""S4"",
""instructor_names"": [
5,
7
]
},
{
""proposal_id"": ""S5"",
""instructor_names"": [
3,
6,
7,
8,
10,
15,
17
]
},
{
""proposal_id"": ""S6"",
""instructor_names"": [
3,
5
]
},
{
""proposal_id"": ""S7"",
""instructor_names"": [
6,
8,
14,
17
]
},
{
""proposal_id"": ""S8"",
""instructor_names"": [
9,
12,
13,
14
]
},
{
""proposal_id"": ""S9"",
""instructor_names"": [
2,
3,
6,
10,
15,
17,
19
]
},
{
""proposal_id"": ""S10"",
""instructor_names"": [
8,
13,
18
]
},
{
""proposal_id"": ""S11"",
""instructor_names"": [
4,
9,
12
]
},
{
""proposal_id"": ""S12"",
""instructor_names"": [
1,
9,
16
]
},
{
""proposal_id"": ""S13"",
""instructor_names"": [
1,
8,
9,
12,
13
]
},
{
""proposal_id"": ""S14"",
""instructor_names"": [
2,
6,
10,
15,
19
]
},
{
""proposal_id"": ""S15"",
""instructor_names"": [
1,
13,
14,
16
]
},
{
""proposal_id"": ""S16"",
""instructor_names"": [
8,
11,
17,
18
]
},
{
""proposal_id"": ""S17"",
""instructor_names"": [
6,
15,
19
]
}
]
}
When you send back your pick, just use a tiny JSON snippet so it's easy to parse. Something like this:
{
""solution"": [""seminar_id"", ...]
}
""solution"" is the list of the selected seminar identifiers (one entry per approved proposal). The ""seminar_id"" text is just a placeholder showing the shape — replace those placeholders with the actual IDs from the instance when you give the real answer. This JSON is only a sketch of the expected shape, not the actual selection.
Please make sure to use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”"".","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 17, 'density': 0.2043343653250774, 'sets': [{'id': 1, 'elements': [2, 10, 15, 19]}, {'id': 2, 'elements': [3, 6, 10]}, {'id': 3, 'elements': [4, 9, 14]}, {'id': 4, 'elements': [5, 7]}, {'id': 5, 'elements': [3, 6, 7, 8, 10, 15, 17]}, {'id': 6, 'elements': [3, 5]}, {'id': 7, 'elements': [6, 8, 14, 17]}, {'id': 8, 'elements': [9, 12, 13, 14]}, {'id': 9, 'elements': [2, 3, 6, 10, 15, 17, 19]}, {'id': 10, 'elements': [8, 13, 18]}, {'id': 11, 'elements': [4, 9, 12]}, {'id': 12, 'elements': [1, 9, 16]}, {'id': 13, 'elements': [1, 8, 9, 12, 13]}, {'id': 14, 'elements': [2, 6, 10, 15, 19]}, {'id': 15, 'elements': [1, 13, 14, 16]}, {'id': 16, 'elements': [8, 11, 17, 18]}, {'id': 17, 'elements': [6, 15, 19]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 8, 'v': 11}, {'u': 8, 'v': 17}, {'u': 8, 'v': 18}, {'u': 10, 'v': 6}, {'u': 10, 'v': 15}, {'u': 10, 'v': 19}, {'u': 1, 'v': 13}, {'u': 7, 'v': 3}, {'u': 7, 'v': 5}, {'u': 13, 'v': 14}, {'u': 13, 'v': 16}, {'u': 17, 'v': 6}, {'u': 6, 'v': 3}, {'u': 9, 'v': 4}, {'u': 9, 'v': 12}, {'u': 9, 'v': 14}, {'u': 19, 'v': 15}, {'u': 2, 'v': 15}, {'u': 14, 'v': 11}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0042.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0042.png'}","[1, 4, 11, 15, 16]",5.0,"{'num_elements': 19, 'num_sets': 17, 'sets': [{'id': 'S1', 'elements': [2, 10, 15, 19]}, {'id': 'S2', 'elements': [3, 6, 10]}, {'id': 'S3', 'elements': [4, 9, 14]}, {'id': 'S4', 'elements': [5, 7]}, {'id': 'S5', 'elements': [3, 6, 7, 8, 10, 15, 17]}, {'id': 'S6', 'elements': [3, 5]}, {'id': 'S7', 'elements': [6, 8, 14, 17]}, {'id': 'S8', 'elements': [9, 12, 13, 14]}, {'id': 'S9', 'elements': [2, 3, 6, 10, 15, 17, 19]}, {'id': 'S10', 'elements': [8, 13, 18]}, {'id': 'S11', 'elements': [4, 9, 12]}, {'id': 'S12', 'elements': [1, 9, 16]}, {'id': 'S13', 'elements': [1, 8, 9, 12, 13]}, {'id': 'S14', 'elements': [2, 6, 10, 15, 19]}, {'id': 'S15', 'elements': [1, 13, 14, 16]}, {'id': 'S16', 'elements': [8, 11, 17, 18]}, {'id': 'S17', 'elements': [6, 15, 19]}]}","['S1', 'S4', 'S11', 'S15', 'S16']",43,json,1
SP,SP,"Recently the fundraising team was handed a batch of donor lists to action, and the coordinator needs to pick which ones to run. The simple metric is how many lists are picked and acted on — that number is what we try to maximize. The practical constraint is that no individual donor can appear on more than one of the picked lists, so each chosen list must contain completely different people. The full, concrete details are shown below.
There are 19 distinct donors in the universe and 18 candidate lists available for selection.
List S1 contains donors 0 5 7 9 10 13.
List S2 contains donors 1 15 16.
List S3 contains donors 12 17 18.
List S4 contains donors 1 3 7.
List S5 contains donors 0 4 10.
List S6 contains donors 0 1 4 6 13 14.
List S7 contains donors 5 6 8.
List S8 contains donors 0 1 3 7 9 16.
List S9 contains donors 5 6.
List S10 contains donors 0 5 12 13 14 18.
List S11 contains donors 0 10.
List S12 contains donors 5 9 12 14 18.
List S13 contains donors 0 5 6 7 8 13.
List S14 contains donors 5 9 12 14.
List S15 contains donors 1 7 15 16.
List S16 contains donors 3 5 7 15.
List S17 contains donors 2 11 17.
List S18 contains donors 9 12 18.
We should pick as many lists as possible while ensuring no donor appears on more than one chosen list.
Oh, and to keep things machine-friendly, please return your pick in this simple JSON shape:
{
""solution"": [""list_id"", ...]
}
Here ""solution"" is just the array of donor lists we decide to run, and each ""list_id"" is the identifier for one of those lists (a placeholder showing the kind of value I expect). This JSON is only a sketch of the expected shape — fill it with the actual list identifiers from the instance when you reply.
Please use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 18, 'density': 0.21052631578947367, 'sets': [{'id': 1, 'elements': [1, 6, 8, 10, 11, 14]}, {'id': 2, 'elements': [2, 16, 17]}, {'id': 3, 'elements': [13, 18, 19]}, {'id': 4, 'elements': [2, 4, 8]}, {'id': 5, 'elements': [1, 5, 11]}, {'id': 6, 'elements': [1, 2, 5, 7, 14, 15]}, {'id': 7, 'elements': [6, 7, 9]}, {'id': 8, 'elements': [1, 2, 4, 8, 10, 17]}, {'id': 9, 'elements': [6, 7]}, {'id': 10, 'elements': [1, 6, 13, 14, 15, 19]}, {'id': 11, 'elements': [1, 11]}, {'id': 12, 'elements': [6, 10, 13, 15, 19]}, {'id': 13, 'elements': [1, 6, 7, 8, 9, 14]}, {'id': 14, 'elements': [6, 10, 13, 15]}, {'id': 15, 'elements': [2, 8, 16, 17]}, {'id': 16, 'elements': [4, 6, 8, 16]}, {'id': 17, 'elements': [3, 12, 18]}, {'id': 18, 'elements': [10, 13, 19]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 3, 'v': 12}, {'u': 3, 'v': 18}, {'u': 3, 'v': 19}, {'u': 19, 'v': 13}, {'u': 17, 'v': 4}, {'u': 17, 'v': 8}, {'u': 15, 'v': 10}, {'u': 13, 'v': 10}, {'u': 1, 'v': 5}, {'u': 1, 'v': 6}, {'u': 7, 'v': 14}, {'u': 9, 'v': 14}, {'u': 11, 'v': 5}, {'u': 2, 'v': 8}, {'u': 2, 'v': 16}, {'u': 8, 'v': 6}, {'u': 6, 'v': 10}, {'u': 6, 'v': 14}, {'u': 4, 'v': 16}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0043.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0043.png'}","[4, 9, 11, 17, 18]",5.0,"{'num_elements': 19, 'num_sets': 18, 'sets': [{'id': 'S1', 'elements': [0, 5, 7, 9, 10, 13]}, {'id': 'S2', 'elements': [1, 15, 16]}, {'id': 'S3', 'elements': [12, 17, 18]}, {'id': 'S4', 'elements': [1, 3, 7]}, {'id': 'S5', 'elements': [0, 4, 10]}, {'id': 'S6', 'elements': [0, 1, 4, 6, 13, 14]}, {'id': 'S7', 'elements': [5, 6, 8]}, {'id': 'S8', 'elements': [0, 1, 3, 7, 9, 16]}, {'id': 'S9', 'elements': [5, 6]}, {'id': 'S10', 'elements': [0, 5, 12, 13, 14, 18]}, {'id': 'S11', 'elements': [0, 10]}, {'id': 'S12', 'elements': [5, 9, 12, 14, 18]}, {'id': 'S13', 'elements': [0, 5, 6, 7, 8, 13]}, {'id': 'S14', 'elements': [5, 9, 12, 14]}, {'id': 'S15', 'elements': [1, 7, 15, 16]}, {'id': 'S16', 'elements': [3, 5, 7, 15]}, {'id': 'S17', 'elements': [2, 11, 17]}, {'id': 'S18', 'elements': [9, 12, 18]}]}","['S4', 'S9', 'S11', 'S17', 'S18']",44,nl,0
SP,SP,"There’s a festival lineup puzzle: choose as many of the available time slots as will fit into the weekend, but every slot carries its own roster of performers and nobody can appear in more than one of the picked slots. Success is measured by how many slots end up filled — just count them — and any plan that has an artist showing up in two places gets tossed. The specific slot listings and performer rosters are shown below.
- **num_performers**: 22
- **num_slots**: 21
| slot_id | performers |
|---|---|
| S1 | B G I M Q R S |
| S2 | B D E G I P R |
| S3 | N S |
| S4 | D E O P Q |
| S5 | D Q R |
| S6 | F G L Q T U |
| S7 | B C F G I Q R S |
| S8 | A I M |
| S9 | J U |
| S10 | F H T |
| S11 | F L T |
| S12 | A B M |
| S13 | N V |
| S14 | D P |
| S15 | A B D O |
| S16 | D E F G P R |
| S17 | B F G Q R |
| S18 | A N R |
| S19 | F H K T |
| S20 | L U |
| S21 | C N S V |
If you're going to send me a plan, just drop it in a tiny JSON object like this:
{
""solution"": [""slot_id"", ...]
}
Think of ""solution"" as the list of festival slots you want to lock in. Each item in that array should be the exact slot identifier from the instance (this block is just a shape example, not your actual answer).
Please be sure to use the identifiers exactly as they appear in the input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 22, 'num_sets': 21, 'density': 0.18181818181818182, 'sets': [{'id': 1, 'elements': [2, 7, 9, 13, 17, 18, 19]}, {'id': 2, 'elements': [2, 4, 5, 7, 9, 16, 18]}, {'id': 3, 'elements': [14, 19]}, {'id': 4, 'elements': [4, 5, 15, 16, 17]}, {'id': 5, 'elements': [4, 17, 18]}, {'id': 6, 'elements': [6, 7, 12, 17, 20, 21]}, {'id': 7, 'elements': [2, 3, 6, 7, 9, 17, 18, 19]}, {'id': 8, 'elements': [1, 9, 13]}, {'id': 9, 'elements': [10, 21]}, {'id': 10, 'elements': [6, 8, 20]}, {'id': 11, 'elements': [6, 12, 20]}, {'id': 12, 'elements': [1, 2, 13]}, {'id': 13, 'elements': [14, 22]}, {'id': 14, 'elements': [4, 16]}, {'id': 15, 'elements': [1, 2, 4, 15]}, {'id': 16, 'elements': [4, 5, 6, 7, 16, 18]}, {'id': 17, 'elements': [2, 6, 7, 17, 18]}, {'id': 18, 'elements': [1, 14, 18]}, {'id': 19, 'elements': [6, 8, 11, 20]}, {'id': 20, 'elements': [12, 21]}, {'id': 21, 'elements': [3, 14, 19, 22]}], 'graph': {'num_nodes': 22, 'edges': [{'u': 12, 'v': 6}, {'u': 12, 'v': 21}, {'u': 2, 'v': 1}, {'u': 2, 'v': 16}, {'u': 2, 'v': 17}, {'u': 3, 'v': 14}, {'u': 3, 'v': 19}, {'u': 3, 'v': 22}, {'u': 1, 'v': 7}, {'u': 1, 'v': 9}, {'u': 1, 'v': 13}, {'u': 4, 'v': 5}, {'u': 4, 'v': 15}, {'u': 4, 'v': 16}, {'u': 5, 'v': 16}, {'u': 5, 'v': 17}, {'u': 10, 'v': 21}, {'u': 11, 'v': 8}, {'u': 11, 'v': 20}, {'u': 6, 'v': 18}, {'u': 6, 'v': 20}, {'u': 7, 'v': 18}, {'u': 7, 'v': 19}, {'u': 17, 'v': 18}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0044.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0044.png'}","[8, 9, 13, 14, 19]",5.0,"{'num_elements': 22, 'num_sets': 21, 'sets': [{'id': 'S1', 'elements': ['B', 'G', 'I', 'M', 'Q', 'R', 'S']}, {'id': 'S2', 'elements': ['B', 'D', 'E', 'G', 'I', 'P', 'R']}, {'id': 'S3', 'elements': ['N', 'S']}, {'id': 'S4', 'elements': ['D', 'E', 'O', 'P', 'Q']}, {'id': 'S5', 'elements': ['D', 'Q', 'R']}, {'id': 'S6', 'elements': ['F', 'G', 'L', 'Q', 'T', 'U']}, {'id': 'S7', 'elements': ['B', 'C', 'F', 'G', 'I', 'Q', 'R', 'S']}, {'id': 'S8', 'elements': ['A', 'I', 'M']}, {'id': 'S9', 'elements': ['J', 'U']}, {'id': 'S10', 'elements': ['F', 'H', 'T']}, {'id': 'S11', 'elements': ['F', 'L', 'T']}, {'id': 'S12', 'elements': ['A', 'B', 'M']}, {'id': 'S13', 'elements': ['N', 'V']}, {'id': 'S14', 'elements': ['D', 'P']}, {'id': 'S15', 'elements': ['A', 'B', 'D', 'O']}, {'id': 'S16', 'elements': ['D', 'E', 'F', 'G', 'P', 'R']}, {'id': 'S17', 'elements': ['B', 'F', 'G', 'Q', 'R']}, {'id': 'S18', 'elements': ['A', 'N', 'R']}, {'id': 'S19', 'elements': ['F', 'H', 'K', 'T']}, {'id': 'S20', 'elements': ['L', 'U']}, {'id': 'S21', 'elements': ['C', 'N', 'S', 'V']}]}","['S8', 'S9', 'S13', 'S14', 'S19']",45,markdown_table,names
SP,SP,"Recently I’ve been sorting through client proposals that each require a small crew of subcontractors. The job is to pick a set of proposals that leads to the biggest number of wins — success equals the number of projects I commit to, plain and simple. The real limitation is that no subcontractor can be committed to more than one of those chosen projects, so selections can’t share people. The detailed list of projects and crews is shown below.
{
""num_subcontractors"": 19,
""num_projects"": 19,
""sets"": [
{
""project_id"": ""S1"",
""subcontractors"": [
0,
2,
4,
8,
16
]
},
{
""project_id"": ""S2"",
""subcontractors"": [
1,
3,
7
]
},
{
""project_id"": ""S3"",
""subcontractors"": [
0,
18
]
},
{
""project_id"": ""S4"",
""subcontractors"": [
3,
4,
6,
7,
15
]
},
{
""project_id"": ""S5"",
""subcontractors"": [
0,
4,
7,
8,
10
]
},
{
""project_id"": ""S6"",
""subcontractors"": [
5,
6,
17
]
},
{
""project_id"": ""S7"",
""subcontractors"": [
5,
6,
7,
11,
15,
17
]
},
{
""project_id"": ""S8"",
""subcontractors"": [
4,
6,
15
]
},
{
""project_id"": ""S9"",
""subcontractors"": [
0,
8,
13
]
},
{
""project_id"": ""S10"",
""subcontractors"": [
9,
12,
14,
18
]
},
{
""project_id"": ""S11"",
""subcontractors"": [
4,
7,
10
]
},
{
""project_id"": ""S12"",
""subcontractors"": [
3,
5,
17
]
},
{
""project_id"": ""S13"",
""subcontractors"": [
9,
12,
14
]
},
{
""project_id"": ""S14"",
""subcontractors"": [
4,
7,
8,
13,
16
]
},
{
""project_id"": ""S15"",
""subcontractors"": [
0,
9,
18
]
},
{
""project_id"": ""S16"",
""subcontractors"": [
6,
7,
15
]
},
{
""project_id"": ""S17"",
""subcontractors"": [
13,
18
]
},
{
""project_id"": ""S18"",
""subcontractors"": [
3,
5,
6,
17
]
},
{
""project_id"": ""S19"",
""subcontractors"": [
9,
12,
13,
16,
18
]
}
]
}
Also, when you send back your choice, tuck it into this little JSON shape so it's easy to read:
{
""solution"": [""proposal_id"", ...]
}
Here ""solution"" is just the list of proposals you're committing to, and each ""proposal_id"" is a placeholder for an actual proposal label from the instance. Think of it like filling in a simple form — the array is the chosen projects. This JSON is only a sketch of the expected shape, not the final answer itself.
Please make sure to use the exact identifiers from the instance input — no renaming and no new labels.
- ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 19, 'num_sets': 19, 'density': 0.19390581717451524, 'sets': [{'id': 1, 'elements': [1, 3, 5, 9, 17]}, {'id': 2, 'elements': [2, 4, 8]}, {'id': 3, 'elements': [1, 19]}, {'id': 4, 'elements': [4, 5, 7, 8, 16]}, {'id': 5, 'elements': [1, 5, 8, 9, 11]}, {'id': 6, 'elements': [6, 7, 18]}, {'id': 7, 'elements': [6, 7, 8, 12, 16, 18]}, {'id': 8, 'elements': [5, 7, 16]}, {'id': 9, 'elements': [1, 9, 14]}, {'id': 10, 'elements': [10, 13, 15, 19]}, {'id': 11, 'elements': [5, 8, 11]}, {'id': 12, 'elements': [4, 6, 18]}, {'id': 13, 'elements': [10, 13, 15]}, {'id': 14, 'elements': [5, 8, 9, 14, 17]}, {'id': 15, 'elements': [1, 10, 19]}, {'id': 16, 'elements': [7, 8, 16]}, {'id': 17, 'elements': [14, 19]}, {'id': 18, 'elements': [4, 6, 7, 18]}, {'id': 19, 'elements': [10, 13, 14, 17, 19]}], 'graph': {'num_nodes': 19, 'edges': [{'u': 12, 'v': 7}, {'u': 5, 'v': 8}, {'u': 5, 'v': 11}, {'u': 5, 'v': 14}, {'u': 7, 'v': 4}, {'u': 7, 'v': 6}, {'u': 7, 'v': 18}, {'u': 2, 'v': 8}, {'u': 9, 'v': 14}, {'u': 19, 'v': 1}, {'u': 19, 'v': 3}, {'u': 19, 'v': 15}, {'u': 13, 'v': 15}, {'u': 10, 'v': 15}, {'u': 16, 'v': 4}, {'u': 4, 'v': 8}, {'u': 17, 'v': 1}, {'u': 1, 'v': 14}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0045.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0045.png'}","[1, 2, 6, 13, 17]",5.0,"{'num_elements': 19, 'num_sets': 19, 'sets': [{'id': 'S1', 'elements': [0, 2, 4, 8, 16]}, {'id': 'S2', 'elements': [1, 3, 7]}, {'id': 'S3', 'elements': [0, 18]}, {'id': 'S4', 'elements': [3, 4, 6, 7, 15]}, {'id': 'S5', 'elements': [0, 4, 7, 8, 10]}, {'id': 'S6', 'elements': [5, 6, 17]}, {'id': 'S7', 'elements': [5, 6, 7, 11, 15, 17]}, {'id': 'S8', 'elements': [4, 6, 15]}, {'id': 'S9', 'elements': [0, 8, 13]}, {'id': 'S10', 'elements': [9, 12, 14, 18]}, {'id': 'S11', 'elements': [4, 7, 10]}, {'id': 'S12', 'elements': [3, 5, 17]}, {'id': 'S13', 'elements': [9, 12, 14]}, {'id': 'S14', 'elements': [4, 7, 8, 13, 16]}, {'id': 'S15', 'elements': [0, 9, 18]}, {'id': 'S16', 'elements': [6, 7, 15]}, {'id': 'S17', 'elements': [13, 18]}, {'id': 'S18', 'elements': [3, 5, 6, 17]}, {'id': 'S19', 'elements': [9, 12, 13, 16, 18]}]}","['S1', 'S2', 'S6', 'S13', 'S17']",46,json,0
SP,SP,"Imagine running the app store picks and trying to cram the front page full of bundles — except every app is exclusive, so it can’t be used twice. The triumph is packing in as many bundles as possible without any shared apps; success is measured simply by the number of bundles that make the cut. The particular bundles and their contents are shown below.
{
""total_unique_apps"": 21,
""total_bundles"": 18,
""sets"": [
{
""bundle_id"": ""S1"",
""bundle_apps"": [
""J"",
""N""
]
},
{
""bundle_id"": ""S2"",
""bundle_apps"": [
""B"",
""C"",
""O""
]
},
{
""bundle_id"": ""S3"",
""bundle_apps"": [
""D"",
""E"",
""G"",
""J"",
""Q"",
""S""
]
},
{
""bundle_id"": ""S4"",
""bundle_apps"": [
""D"",
""E"",
""F"",
""I"",
""L"",
""P""
]
},
{
""bundle_id"": ""S5"",
""bundle_apps"": [
""E"",
""H"",
""T""
]
},
{
""bundle_id"": ""S6"",
""bundle_apps"": [
""D"",
""G"",
""N"",
""U""
]
},
{
""bundle_id"": ""S7"",
""bundle_apps"": [
""B"",
""E"",
""F"",
""O""
]
},
{
""bundle_id"": ""S8"",
""bundle_apps"": [
""D"",
""E"",
""I"",
""L"",
""S""
]
},
{
""bundle_id"": ""S9"",
""bundle_apps"": [
""A"",
""G"",
""N"",
""U""
]
},
{
""bundle_id"": ""S10"",
""bundle_apps"": [
""K"",
""N"",
""R""
]
},
{
""bundle_id"": ""S11"",
""bundle_apps"": [
""E"",
""L"",
""P""
]
},
{
""bundle_id"": ""S12"",
""bundle_apps"": [
""M"",
""Q""
]
},
{
""bundle_id"": ""S13"",
""bundle_apps"": [
""G"",
""J"",
""K"",
""N""
]
},
{
""bundle_id"": ""S14"",
""bundle_apps"": [
""B"",
""C"",
""E"",
""F"",
""H"",
""I"",
""L"",
""P""
]
},
{
""bundle_id"": ""S15"",
""bundle_apps"": [
""A"",
""J"",
""K"",
""N""
]
},
{
""bundle_id"": ""S16"",
""bundle_apps"": [
""D"",
""I"",
""M"",
""Q"",
""S""
]
},
{
""bundle_id"": ""S17"",
""bundle_apps"": [
""P"",
""T""
]
},
{
""bundle_id"": ""S18"",
""bundle_apps"": [
""G"",
""J"",
""N"",
""U""
]
}
]
}
Also, when you give me the final pick, just send it in a tiny JSON object like this:
{
""solution"": [""bundle_id"", ...]
}
""solution"" is the array of bundles you chose for the front page — each entry is the ID of one bundle that made the cut. Think of it like filling out a quick form: list the bundle IDs you want shown, in whatever order you like.
This JSON is just a sketch of the shape I expect, not the actual answer — replace the placeholder entries with the real IDs from the instance.
Please use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
For example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 21, 'num_sets': 18, 'density': 0.19047619047619047, 'sets': [{'id': 1, 'elements': [10, 14]}, {'id': 2, 'elements': [2, 3, 15]}, {'id': 3, 'elements': [4, 5, 7, 10, 17, 19]}, {'id': 4, 'elements': [4, 5, 6, 9, 12, 16]}, {'id': 5, 'elements': [5, 8, 20]}, {'id': 6, 'elements': [4, 7, 14, 21]}, {'id': 7, 'elements': [2, 5, 6, 15]}, {'id': 8, 'elements': [4, 5, 9, 12, 19]}, {'id': 9, 'elements': [1, 7, 14, 21]}, {'id': 10, 'elements': [11, 14, 18]}, {'id': 11, 'elements': [5, 12, 16]}, {'id': 12, 'elements': [13, 17]}, {'id': 13, 'elements': [7, 10, 11, 14]}, {'id': 14, 'elements': [2, 3, 5, 6, 8, 9, 12, 16]}, {'id': 15, 'elements': [1, 10, 11, 14]}, {'id': 16, 'elements': [4, 9, 13, 17, 19]}, {'id': 17, 'elements': [16, 20]}, {'id': 18, 'elements': [7, 10, 14, 21]}], 'graph': {'num_nodes': 21, 'edges': [{'u': 15, 'v': 3}, {'u': 6, 'v': 16}, {'u': 6, 'v': 20}, {'u': 7, 'v': 4}, {'u': 7, 'v': 10}, {'u': 12, 'v': 5}, {'u': 18, 'v': 11}, {'u': 18, 'v': 14}, {'u': 4, 'v': 9}, {'u': 4, 'v': 19}, {'u': 9, 'v': 5}, {'u': 14, 'v': 1}, {'u': 14, 'v': 10}, {'u': 17, 'v': 13}, {'u': 17, 'v': 19}, {'u': 21, 'v': 10}, {'u': 8, 'v': 2}, {'u': 8, 'v': 3}, {'u': 8, 'v': 16}, {'u': 5, 'v': 16}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0046.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0046.png'}","[2, 8, 10, 12, 17]",5.0,"{'num_elements': 21, 'num_sets': 18, 'sets': [{'id': 'S1', 'elements': ['J', 'N']}, {'id': 'S2', 'elements': ['B', 'C', 'O']}, {'id': 'S3', 'elements': ['D', 'E', 'G', 'J', 'Q', 'S']}, {'id': 'S4', 'elements': ['D', 'E', 'F', 'I', 'L', 'P']}, {'id': 'S5', 'elements': ['E', 'H', 'T']}, {'id': 'S6', 'elements': ['D', 'G', 'N', 'U']}, {'id': 'S7', 'elements': ['B', 'E', 'F', 'O']}, {'id': 'S8', 'elements': ['D', 'E', 'I', 'L', 'S']}, {'id': 'S9', 'elements': ['A', 'G', 'N', 'U']}, {'id': 'S10', 'elements': ['K', 'N', 'R']}, {'id': 'S11', 'elements': ['E', 'L', 'P']}, {'id': 'S12', 'elements': ['M', 'Q']}, {'id': 'S13', 'elements': ['G', 'J', 'K', 'N']}, {'id': 'S14', 'elements': ['B', 'C', 'E', 'F', 'H', 'I', 'L', 'P']}, {'id': 'S15', 'elements': ['A', 'J', 'K', 'N']}, {'id': 'S16', 'elements': ['D', 'I', 'M', 'Q', 'S']}, {'id': 'S17', 'elements': ['P', 'T']}, {'id': 'S18', 'elements': ['G', 'J', 'N', 'U']}]}","['S2', 'S8', 'S10', 'S12', 'S17']",47,json,names
SP,SP,"There’s a local watch coordinator trying to arrange tonight’s patrols by picking from several pre-made groups. The right plan is the one that sends out as many groups as possible — judge each plan by the total number of groups it uses. When a group is picked, all its members go on duty, and no resident can be on two of the selected groups at once. The detailed rosters appear below.
{
""total_residents"": 25,
""total_patrol_groups"": 24,
""sets"": [
{
""patrol_id"": ""S1"",
""member_ids"": [
""A"",
""B"",
""F"",
""K"",
""T""
]
},
{
""patrol_id"": ""S2"",
""member_ids"": [
""B"",
""K""
]
},
{
""patrol_id"": ""S3"",
""member_ids"": [
""A"",
""C"",
""H"",
""J"",
""O"",
""U""
]
},
{
""patrol_id"": ""S4"",
""member_ids"": [
""E"",
""J"",
""L"",
""M"",
""V""
]
},
{
""patrol_id"": ""S5"",
""member_ids"": [
""C"",
""D"",
""E"",
""H"",
""L"",
""M"",
""N"",
""U"",
""V""
]
},
{
""patrol_id"": ""S6"",
""member_ids"": [
""A"",
""B"",
""C"",
""F"",
""J"",
""K"",
""R""
]
},
{
""patrol_id"": ""S7"",
""member_ids"": [
""G"",
""P"",
""U"",
""X""
]
},
{
""patrol_id"": ""S8"",
""member_ids"": [
""C"",
""E"",
""H"",
""J""
]
},
{
""patrol_id"": ""S9"",
""member_ids"": [
""C"",
""D"",
""E"",
""F""
]
},
{
""patrol_id"": ""S10"",
""member_ids"": [
""A"",
""F"",
""K""
]
},
{
""patrol_id"": ""S11"",
""member_ids"": [
""D"",
""E"",
""M""
]
},
{
""patrol_id"": ""S12"",
""member_ids"": [
""D"",
""L"",
""M"",
""Y""
]
},
{
""patrol_id"": ""S13"",
""member_ids"": [
""E"",
""U"",
""W""
]
},
{
""patrol_id"": ""S14"",
""member_ids"": [
""O"",
""R""
]
},
{
""patrol_id"": ""S15"",
""member_ids"": [
""P"",
""U"",
""X""
]
},
{
""patrol_id"": ""S16"",
""member_ids"": [
""H"",
""Q""
]
},
{
""patrol_id"": ""S17"",
""member_ids"": [
""C"",
""F"",
""O"",
""R"",
""U"",
""X""
]
},
{
""patrol_id"": ""S18"",
""member_ids"": [
""I"",
""Q"",
""S""
]
},
{
""patrol_id"": ""S19"",
""member_ids"": [
""A"",
""F""
]
},
{
""patrol_id"": ""S20"",
""member_ids"": [
""E"",
""G"",
""O"",
""P"",
""R"",
""U"",
""V"",
""W""
]
},
{
""patrol_id"": ""S21"",
""member_ids"": [
""D"",
""E"",
""R"",
""V"",
""W"",
""X""
]
},
{
""patrol_id"": ""S22"",
""member_ids"": [
""N"",
""U"",
""V""
]
},
{
""patrol_id"": ""S23"",
""member_ids"": [
""G"",
""P"",
""R"",
""U"",
""V""
]
},
{
""patrol_id"": ""S24"",
""member_ids"": [
""D"",
""M""
]
}
]
}
If you want to tell me which groups to send, just return a little JSON object in this shape — nothing fancy. For this patrol story I’d use a tiny placeholder like this:
{
""solution"": [""group_id"", ...]
}
This means: put the identifiers of the selected groups in the solution list (one identifier per chosen group). It’s just a sketch of the shape I expect, not the actual answer — fill the list with the exact group labels from the instance.
Please make sure to use the identifiers exactly as they appear in the input — don’t rename them or invent new ones.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 25, 'num_sets': 24, 'density': 0.16833333333333333, 'sets': [{'id': 1, 'elements': [1, 2, 6, 11, 20]}, {'id': 2, 'elements': [2, 11]}, {'id': 3, 'elements': [1, 3, 8, 10, 15, 21]}, {'id': 4, 'elements': [5, 10, 12, 13, 22]}, {'id': 5, 'elements': [3, 4, 5, 8, 12, 13, 14, 21, 22]}, {'id': 6, 'elements': [1, 2, 3, 6, 10, 11, 18]}, {'id': 7, 'elements': [7, 16, 21, 24]}, {'id': 8, 'elements': [3, 5, 8, 10]}, {'id': 9, 'elements': [3, 4, 5, 6]}, {'id': 10, 'elements': [1, 6, 11]}, {'id': 11, 'elements': [4, 5, 13]}, {'id': 12, 'elements': [4, 12, 13, 25]}, {'id': 13, 'elements': [5, 21, 23]}, {'id': 14, 'elements': [15, 18]}, {'id': 15, 'elements': [16, 21, 24]}, {'id': 16, 'elements': [8, 17]}, {'id': 17, 'elements': [3, 6, 15, 18, 21, 24]}, {'id': 18, 'elements': [9, 17, 19]}, {'id': 19, 'elements': [1, 6]}, {'id': 20, 'elements': [5, 7, 15, 16, 18, 21, 22, 23]}, {'id': 21, 'elements': [4, 5, 18, 22, 23, 24]}, {'id': 22, 'elements': [14, 21, 22]}, {'id': 23, 'elements': [7, 16, 18, 21, 22]}, {'id': 24, 'elements': [4, 13]}], 'graph': {'num_nodes': 25, 'edges': [{'u': 3, 'v': 6}, {'u': 3, 'v': 10}, {'u': 3, 'v': 18}, {'u': 25, 'v': 13}, {'u': 22, 'v': 5}, {'u': 22, 'v': 14}, {'u': 22, 'v': 21}, {'u': 22, 'v': 23}, {'u': 10, 'v': 5}, {'u': 10, 'v': 8}, {'u': 11, 'v': 1}, {'u': 13, 'v': 4}, {'u': 18, 'v': 15}, {'u': 18, 'v': 21}, {'u': 7, 'v': 24}, {'u': 6, 'v': 1}, {'u': 6, 'v': 20}, {'u': 2, 'v': 1}, {'u': 21, 'v': 24}, {'u': 24, 'v': 16}, {'u': 8, 'v': 9}, {'u': 19, 'v': 9}, {'u': 4, 'v': 5}, {'u': 4, 'v': 12}, {'u': 9, 'v': 17}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0047.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0047.png'}","[2, 8, 14, 15, 18, 19, 24]",7.0,"{'num_elements': 25, 'num_sets': 24, 'sets': [{'id': 'S1', 'elements': ['A', 'B', 'F', 'K', 'T']}, {'id': 'S2', 'elements': ['B', 'K']}, {'id': 'S3', 'elements': ['A', 'C', 'H', 'J', 'O', 'U']}, {'id': 'S4', 'elements': ['E', 'J', 'L', 'M', 'V']}, {'id': 'S5', 'elements': ['C', 'D', 'E', 'H', 'L', 'M', 'N', 'U', 'V']}, {'id': 'S6', 'elements': ['A', 'B', 'C', 'F', 'J', 'K', 'R']}, {'id': 'S7', 'elements': ['G', 'P', 'U', 'X']}, {'id': 'S8', 'elements': ['C', 'E', 'H', 'J']}, {'id': 'S9', 'elements': ['C', 'D', 'E', 'F']}, {'id': 'S10', 'elements': ['A', 'F', 'K']}, {'id': 'S11', 'elements': ['D', 'E', 'M']}, {'id': 'S12', 'elements': ['D', 'L', 'M', 'Y']}, {'id': 'S13', 'elements': ['E', 'U', 'W']}, {'id': 'S14', 'elements': ['O', 'R']}, {'id': 'S15', 'elements': ['P', 'U', 'X']}, {'id': 'S16', 'elements': ['H', 'Q']}, {'id': 'S17', 'elements': ['C', 'F', 'O', 'R', 'U', 'X']}, {'id': 'S18', 'elements': ['I', 'Q', 'S']}, {'id': 'S19', 'elements': ['A', 'F']}, {'id': 'S20', 'elements': ['E', 'G', 'O', 'P', 'R', 'U', 'V', 'W']}, {'id': 'S21', 'elements': ['D', 'E', 'R', 'V', 'W', 'X']}, {'id': 'S22', 'elements': ['N', 'U', 'V']}, {'id': 'S23', 'elements': ['G', 'P', 'R', 'U', 'V']}, {'id': 'S24', 'elements': ['D', 'M']}]}","['S2', 'S8', 'S14', 'S15', 'S18', 'S19', 'S24']",48,json,names
SP,SP,"Someone organizing the reception wanted the appetizer table to look abundant, so they tried to include as many platters as they could, but with one condition: each ingredient can only appear on one of the platters that actually make the cut. The practical decision is which platters to pick to get the biggest number of platters onto the table, countable by simply tallying the selected platters, and the full list of platter options and their ingredients appears below.
- **total_ingredients_count**: 23
- **total_platters_count**: 23
| platter_id | platter_ingredients |
|---|---|
| S1 | 1 2 6 9 12 13 15 19 |
| S2 | 1 2 13 21 |
| S3 | 10 11 12 14 17 18 20 |
| S4 | 1 10 12 13 19 20 |
| S5 | 5 7 16 20 |
| S6 | 1 4 10 12 18 19 20 |
| S7 | 3 5 7 9 14 16 23 |
| S8 | 14 20 |
| S9 | 1 7 16 21 23 |
| S10 | 1 3 4 10 12 15 18 19 |
| S11 | 3 11 20 |
| S12 | 1 4 6 10 14 20 |
| S13 | 1 2 4 9 13 15 19 21 |
| S14 | 3 8 12 |
| S15 | 1 13 15 21 |
| S16 | 7 9 13 16 20 23 |
| S17 | 3 17 18 |
| S18 | 3 6 10 11 17 18 20 |
| S19 | 10 15 18 19 21 |
| S20 | 3 5 7 11 12 14 16 18 20 |
| S21 | 1 2 9 13 15 19 22 |
| S22 | 15 19 22 |
| S23 | 5 7 16 23 |
If you want to tell me which platters to use, just send them back in a tiny JSON snippet like this:
{
""solution"": [""platter_id""]
}
The ""solution"" array is where you list the platters you pick — one entry per platter, using the exact platter identifiers from the instance. Think of this JSON as just a simple form: it shows the shape I expect, not the actual final list (so replace ""platter_id"" with the real ids and add as many as needed).
Please don't rename or invent identifiers — use them exactly as they appear in the input.
Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 23, 'num_sets': 23, 'density': 0.2381852551984877, 'sets': [{'id': 1, 'elements': [1, 2, 6, 9, 12, 13, 15, 19]}, {'id': 2, 'elements': [1, 2, 13, 21]}, {'id': 3, 'elements': [10, 11, 12, 14, 17, 18, 20]}, {'id': 4, 'elements': [1, 10, 12, 13, 19, 20]}, {'id': 5, 'elements': [5, 7, 16, 20]}, {'id': 6, 'elements': [1, 4, 10, 12, 18, 19, 20]}, {'id': 7, 'elements': [3, 5, 7, 9, 14, 16, 23]}, {'id': 8, 'elements': [14, 20]}, {'id': 9, 'elements': [1, 7, 16, 21, 23]}, {'id': 10, 'elements': [1, 3, 4, 10, 12, 15, 18, 19]}, {'id': 11, 'elements': [3, 11, 20]}, {'id': 12, 'elements': [1, 4, 6, 10, 14, 20]}, {'id': 13, 'elements': [1, 2, 4, 9, 13, 15, 19, 21]}, {'id': 14, 'elements': [3, 8, 12]}, {'id': 15, 'elements': [1, 13, 15, 21]}, {'id': 16, 'elements': [7, 9, 13, 16, 20, 23]}, {'id': 17, 'elements': [3, 17, 18]}, {'id': 18, 'elements': [3, 6, 10, 11, 17, 18, 20]}, {'id': 19, 'elements': [10, 15, 18, 19, 21]}, {'id': 20, 'elements': [3, 5, 7, 11, 12, 14, 16, 18, 20]}, {'id': 21, 'elements': [1, 2, 9, 13, 15, 19, 22]}, {'id': 22, 'elements': [15, 19, 22]}, {'id': 23, 'elements': [5, 7, 16, 23]}], 'graph': {'num_nodes': 23, 'edges': [{'u': 23, 'v': 5}, {'u': 23, 'v': 16}, {'u': 2, 'v': 13}, {'u': 21, 'v': 13}, {'u': 21, 'v': 15}, {'u': 13, 'v': 1}, {'u': 13, 'v': 9}, {'u': 3, 'v': 11}, {'u': 3, 'v': 18}, {'u': 3, 'v': 20}, {'u': 8, 'v': 14}, {'u': 14, 'v': 20}, {'u': 4, 'v': 1}, {'u': 4, 'v': 6}, {'u': 4, 'v': 12}, {'u': 7, 'v': 5}, {'u': 7, 'v': 16}, {'u': 7, 'v': 20}, {'u': 1, 'v': 19}, {'u': 17, 'v': 18}, {'u': 16, 'v': 9}, {'u': 6, 'v': 10}, {'u': 6, 'v': 12}, {'u': 19, 'v': 10}, {'u': 19, 'v': 15}, {'u': 12, 'v': 20}, {'u': 10, 'v': 18}, {'u': 15, 'v': 22}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0048.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0048.png'}","[2, 8, 17, 22, 23]",5.0,"{'num_elements': 23, 'num_sets': 23, 'sets': [{'id': 'S1', 'elements': [1, 2, 6, 9, 12, 13, 15, 19]}, {'id': 'S2', 'elements': [1, 2, 13, 21]}, {'id': 'S3', 'elements': [10, 11, 12, 14, 17, 18, 20]}, {'id': 'S4', 'elements': [1, 10, 12, 13, 19, 20]}, {'id': 'S5', 'elements': [5, 7, 16, 20]}, {'id': 'S6', 'elements': [1, 4, 10, 12, 18, 19, 20]}, {'id': 'S7', 'elements': [3, 5, 7, 9, 14, 16, 23]}, {'id': 'S8', 'elements': [14, 20]}, {'id': 'S9', 'elements': [1, 7, 16, 21, 23]}, {'id': 'S10', 'elements': [1, 3, 4, 10, 12, 15, 18, 19]}, {'id': 'S11', 'elements': [3, 11, 20]}, {'id': 'S12', 'elements': [1, 4, 6, 10, 14, 20]}, {'id': 'S13', 'elements': [1, 2, 4, 9, 13, 15, 19, 21]}, {'id': 'S14', 'elements': [3, 8, 12]}, {'id': 'S15', 'elements': [1, 13, 15, 21]}, {'id': 'S16', 'elements': [7, 9, 13, 16, 20, 23]}, {'id': 'S17', 'elements': [3, 17, 18]}, {'id': 'S18', 'elements': [3, 6, 10, 11, 17, 18, 20]}, {'id': 'S19', 'elements': [10, 15, 18, 19, 21]}, {'id': 'S20', 'elements': [3, 5, 7, 11, 12, 14, 16, 18, 20]}, {'id': 'S21', 'elements': [1, 2, 9, 13, 15, 19, 22]}, {'id': 'S22', 'elements': [15, 19, 22]}, {'id': 'S23', 'elements': [5, 7, 16, 23]}]}","['S2', 'S8', 'S17', 'S22', 'S23']",49,markdown_table,1
SP,SP,"Recently the counselor had to trim the list of after-school activities: every club has a roster and the counselor wants to keep as many clubs running as possible, but if a student is listed in more than one kept club, that plan won’t work. The way to compare different plans is straightforward: tally the number of clubs that would run under each plan — the larger the tally, the better — and the concrete club lists and student assignments are given below.
{
""total_students"": 21,
""available_clubs"": 19,
""sets"": [
{
""club_id"": ""S1"",
""club_roster"": [
""A"",
""M"",
""N"",
""R"",
""S""
]
},
{
""club_id"": ""S2"",
""club_roster"": [
""C"",
""G"",
""I""
]
},
{
""club_id"": ""S3"",
""club_roster"": [
""B"",
""C"",
""I"",
""P""
]
},
{
""club_id"": ""S4"",
""club_roster"": [
""F"",
""H"",
""R"",
""S""
]
},
{
""club_id"": ""S5"",
""club_roster"": [
""D"",
""O""
]
},
{
""club_id"": ""S6"",
""club_roster"": [
""F"",
""H"",
""L"",
""R"",
""S""
]
},
{
""club_id"": ""S7"",
""club_roster"": [
""B"",
""I"",
""M"",
""N"",
""T"",
""U""
]
},
{
""club_id"": ""S8"",
""club_roster"": [
""F"",
""H"",
""Q""
]
},
{
""club_id"": ""S9"",
""club_roster"": [
""G"",
""K"",
""U""
]
},
{
""club_id"": ""S10"",
""club_roster"": [
""F"",
""L"",
""S""
]
},
{
""club_id"": ""S11"",
""club_roster"": [
""A"",
""I"",
""M""
]
},
{
""club_id"": ""S12"",
""club_roster"": [
""M"",
""N"",
""R""
]
},
{
""club_id"": ""S13"",
""club_roster"": [
""D"",
""E"",
""O"",
""S""
]
},
{
""club_id"": ""S14"",
""club_roster"": [
""B"",
""C""
]
},
{
""club_id"": ""S15"",
""club_roster"": [
""H"",
""S""
]
},
{
""club_id"": ""S16"",
""club_roster"": [
""A"",
""F"",
""R"",
""S""
]
},
{
""club_id"": ""S17"",
""club_roster"": [
""A"",
""F"",
""L"",
""O"",
""Q"",
""R"",
""S""
]
},
{
""club_id"": ""S18"",
""club_roster"": [
""G"",
""T""
]
},
{
""club_id"": ""S19"",
""club_roster"": [
""G"",
""I"",
""J"",
""K"",
""M""
]
}
]
}
If you want to hand me a proposed plan, just drop it in a tiny JSON snippet like this so it's easy to read:
{
""solution"": [""club_id"", ...]
}
Here ""solution"" is the list of clubs you'd like to keep running — each item is the club's identifier. This is just a sketch of the shape I expect, not the actual answer.
Please use the exact identifiers from the instance input — no renaming and no new labels. For example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'source_file': 'road_central.mtx', 'k_hop': 2, 'num_elements': 21, 'num_sets': 19, 'density': 0.17543859649122806, 'sets': [{'id': 1, 'elements': [1, 13, 14, 18, 19]}, {'id': 2, 'elements': [3, 7, 9]}, {'id': 3, 'elements': [2, 3, 9, 16]}, {'id': 4, 'elements': [6, 8, 18, 19]}, {'id': 5, 'elements': [4, 15]}, {'id': 6, 'elements': [6, 8, 12, 18, 19]}, {'id': 7, 'elements': [2, 9, 13, 14, 20, 21]}, {'id': 8, 'elements': [6, 8, 17]}, {'id': 9, 'elements': [7, 11, 21]}, {'id': 10, 'elements': [6, 12, 19]}, {'id': 11, 'elements': [1, 9, 13]}, {'id': 12, 'elements': [13, 14, 18]}, {'id': 13, 'elements': [4, 5, 15, 19]}, {'id': 14, 'elements': [2, 3]}, {'id': 15, 'elements': [8, 19]}, {'id': 16, 'elements': [1, 6, 18, 19]}, {'id': 17, 'elements': [1, 6, 12, 15, 17, 18, 19]}, {'id': 18, 'elements': [7, 20]}, {'id': 19, 'elements': [7, 9, 10, 11, 13]}], 'graph': {'num_nodes': 21, 'edges': [{'u': 7, 'v': 9}, {'u': 7, 'v': 13}, {'u': 7, 'v': 21}, {'u': 8, 'v': 17}, {'u': 8, 'v': 19}, {'u': 9, 'v': 2}, {'u': 11, 'v': 21}, {'u': 13, 'v': 14}, {'u': 12, 'v': 6}, {'u': 10, 'v': 20}, {'u': 1, 'v': 14}, {'u': 1, 'v': 18}, {'u': 4, 'v': 15}, {'u': 4, 'v': 19}, {'u': 5, 'v': 15}, {'u': 6, 'v': 19}, {'u': 16, 'v': 2}, {'u': 20, 'v': 21}, {'u': 18, 'v': 19}, {'u': 2, 'v': 3}]}, 'viz_instance': 'generated_data/SP/viz/SP_L/instance_0049.png', 'viz_solution': 'generated_data/SP/viz/SP_L/solution_0049.png'}","[5, 8, 12, 14, 18]",5.0,"{'num_elements': 21, 'num_sets': 19, 'sets': [{'id': 'S1', 'elements': ['A', 'M', 'N', 'R', 'S']}, {'id': 'S2', 'elements': ['C', 'G', 'I']}, {'id': 'S3', 'elements': ['B', 'C', 'I', 'P']}, {'id': 'S4', 'elements': ['F', 'H', 'R', 'S']}, {'id': 'S5', 'elements': ['D', 'O']}, {'id': 'S6', 'elements': ['F', 'H', 'L', 'R', 'S']}, {'id': 'S7', 'elements': ['B', 'I', 'M', 'N', 'T', 'U']}, {'id': 'S8', 'elements': ['F', 'H', 'Q']}, {'id': 'S9', 'elements': ['G', 'K', 'U']}, {'id': 'S10', 'elements': ['F', 'L', 'S']}, {'id': 'S11', 'elements': ['A', 'I', 'M']}, {'id': 'S12', 'elements': ['M', 'N', 'R']}, {'id': 'S13', 'elements': ['D', 'E', 'O', 'S']}, {'id': 'S14', 'elements': ['B', 'C']}, {'id': 'S15', 'elements': ['H', 'S']}, {'id': 'S16', 'elements': ['A', 'F', 'R', 'S']}, {'id': 'S17', 'elements': ['A', 'F', 'L', 'O', 'Q', 'R', 'S']}, {'id': 'S18', 'elements': ['G', 'T']}, {'id': 'S19', 'elements': ['G', 'I', 'J', 'K', 'M']}]}","['S5', 'S8', 'S12', 'S14', 'S18']",50,json,names
|