A - Alice and Bob
题意: 给出两堆石子,可以用一堆里取个,然后从另外一堆里取
个,
先手,最后谁不能取谁输。
题解: 考虑去寻找必败态,比如是必败态,但
加上其他数都是必胜态,因为总能全部取完或者转移到
,使对方达到必败态。考虑去枚举,如果这两个数不能转移到之前的必败态,那么他也一定是个必败态,否则他就是必胜态。暴力打表然后输出答案即可。
#include<bits/stdc++.h> using namespace std; #define dbg(x...) do { cout << #x << " -> "; err(x); } while (0) void err () { cout << endl;} template <class T, class... Ts> void err(const T& arg, const Ts&... args) { cout << arg << ' '; err(args...);} inline int rd() { int f = 0; int x = 0; char ch = getchar(); for (; !isdigit(ch); ch = getchar()) f |= (ch == '-'); for (; isdigit(ch); ch = getchar()) x = (x << 1) + (x << 3) + ch - '0'; if (f) x = -x; return x; } void out(int a) {if(a<0)putchar('-'),a=-a;if(a>=10)out(a/10);putchar(a%10+'0');} #define pt(x) out(x),puts("") #define ll long long #define ull unsigned long long #define LL __int128 #define inf 0x3f3f3f3f #define INF 0x3f3f3f3f3f3f3f3f #define pii pair<int, int> #define PII pair<ll, ll> #define fi first #define se second #define pb push_back #define mp(a,b) make_pair(a,b) #define PAUSE system("pause"); const double Pi = acos(-1.0); const double eps = 1e-8; const int maxn = 1e5 + 10; const int maxm = 6e2 + 10; const int mod = 999911659; const int P = 131; inline void swap(ll &a, ll &b){ll t = a; a = b; b = t;} inline ll min(ll a, ll b){return a < b ? a : b;} inline ll max(ll a, ll b){return a > b ? a : b;} pii ans[maxn] = {{0,0},{2, 3},{5, 7},{9, 12},{11, 15},{14, 20},{17, 22},{19, 33},{24, 32},{26, 35},{28, 58},{29, 40},{31, 38},{37, 53},{42, 52},{44, 75},{45, 60},{47, 65},{49, 70},{50, 62},{55, 68},{57, 79},{64, 87},{67, 86},{72, 92},{74, 99},{77, 101},{81, 174},{82, 118},{83, 110},{85, 113},{89, 123},{90, 116},{94, 129},{95, 127},{97, 126},{103, 136},{105, 199},{106, 146},{108, 145},{112, 166},{115, 246},{120, 161},{122, 160},{125, 164},{131, 309},{132, 182},{133, 177},{135, 198},{138, 180},{139, 156},{141, 239},{142, 190},{143, 186},{148, 203},{149, 195},{151, 340},{152, 197},{154, 232},{158, 218},{163, 229},{168, 215},{170, 286},{171, 228},{172, 224},{176, 350},{179, 298},{184, 253},{185, 236},{188, 268},{189, 259},{192, 241},{194, 256},{201, 266},{205, 281},{207, 274},{208, 264},{210, 271},{212, 322},{213, 317},{214, 278},{217, 289},{220, 327},{221, 280},{223, 315},{226, 301},{231, 332},{234, 307},{238, 372},{243, 391},{244, 325},{245, 313},{248, 306},{250, 321},{252, 305},{255, 339},{258, 565},{261, 346},{263, 359},{270, 375},{273, 521},{276, 358},{283, 370},{285, 362},{288, 379},{291, 456},{293, 367},{295, 390},{296, 386},{300, 432},{303, 415},{311, 464},{312, 411},{319, 408},{324, 501},{329, 435},{331, 702},{334, 454},{336, 545},{337, 489},{338, 449},{342, 496},{343, 446},{345, 445},{348, 558},{349, 467},{352, 461},{354, 590},{355, 577},{356, 532},{357, 479},{361, 478},{364, 494},{366, 527},{369, 520},{374, 509},{377, 505},{381, 639},{382, 553},{384, 470},{388, 485},{393, 518},{395, 474},{397, 511},{399, 487},{400, 483},{402, 588},{404, 601},{405, 531},{407, 530},{410, 568},{413, 537},{417, 586},{419, 557},{420, 541},{421, 529},{423, 525},{425, 580},{427, 560},{429, 719},{430, 624},{431, 570},{434, 549},{437, 574},{439, 603},{440, 600},{442, 683},{443, 556},{448, 614},{451, 871},{452, 651},{453, 620},{458, 772},{459, 671},{460, 596},{463, 661},{466, 666},{469, 610},{472, 761},{473, 632},{476, 760},{477, 691},{481, 660},{491, 726},{492, 635},{498, 673},{499, 646},{503, 653},{504, 649},{507, 788},{508, 648},{513, 776},{514, 716},{515, 664},{516, 658},{523, 740},{534, 893},{535, 855},{539, 752},{540, 735},{543, 723},{547, 825},{548, 800},{551, 697},{555, 711},{562, 1202},{563, 771},{564, 693},{567, 737},{572, 744},{576, 766},{579, 780},{582, 986},{583, 768},{585, 748},{592, 877},{593, 811},{594, 805},{595, 722},{598, 1599},{599, 828},{605, 866},{606, 845},{607, 810},{609, 849},{612, 842},{616, 831},{617, 822},{619, 787},{622, 818},{626, 799},{628, 785},{630, 836},{634, 778},{637, 879},{641, 886},{643, 899},{644, 827},{655, 1046},{656, 918},{657, 876},{663, 870},{668, 989},{669, 929},{675, 985},{676, 857},{678, 912},{679, 904},{680, 896},{682, 1107},{685, 869},{687, 964},{689, 920},{695, 883},{699, 946},{700, 937},{704, 948},{706, 910},{708, 957},{710, 892},{713, 996},{714, 935},{718, 969},{721, 976},{725, 1358},{728, 1010},{730, 917},{732, 924},{734, 1167},{739, 1062},{742, 1036},{743, 1007},{746, 1065},{747, 1000},{750, 982},{751, 944},{754, 1020},{756, 1013},{757, 995},{759, 1854},{763, 991},{765, 1038},{770, 1150},{774, 1017},{782, 1032},{784, 1085},{790, 1082},{791, 1061},{793, 1090},{794, 956},{796, 1029},{797, 1023},{802, 1777},{803, 1072},{807, 1081},{808, 1079},{813, 1118},{814, 1117},{815, 1110},{816, 1040},{820, 1131},{824, 1070},{830, 1098},{833, 1053},{835, 1122},{838, 1201},{839, 1165},{841, 1322},{844, 1241},{847, 1225},{848, 1120},{851, 1190},{852, 1106},{853, 1076},{859, 1145},{861, 1206},{862, 1180},{863, 1130},{864, 1055},{868, 1156},{873, 1384},{874, 1212},{875, 1102},{881, 1194},{882, 1175},{885, 1164},{888, 1192},{890, 1186},{895, 1285},{898, 1227},{901, 2018},{902, 1211},{906, 1208},{908, 1261},{909, 1231},{914, 1245},{915, 1214},{922, 1394},{923, 1269},{926, 1363},{927, 1243},{931, 1274},{933, 1307},{939, 1405},{940, 1268},{942, 1381},{943, 1219},{950, 1265},{952, 1314},{954, 1254},{959, 1311},{960, 1297},{962, 1420},{963, 1295},{966, 1390},{967, 1279},{971, 1337},{972, 1302},{973, 1248},{975, 3859},{978, 1284},{980, 1547},{981, 1348},{984, 1317},{988, 1451},{993, 1378},{994, 1329},{998, 1812},{999, 1372},{1002, 1336},{1004, 1461},{1005, 1400},{1006, 1346},{1009, 1366},{1012, 1361},{1015, 1465},{1016, 1432},{1019, 1419},{1022, 1477},{1025, 1376},{1027, 1292},{1031, 1633},{1034, 1389},{1035, 1371},{1042, 1527},{1043, 1334},{1045, 1387},{1048, 1458},{1050, 2369},{1051, 1331},{1057, 1695},{1058, 1414},{1060, 1408},{1064, 1446},{1067, 1543},{1068, 1521},{1069, 1413},{1074, 1514},{1075, 1492},{1078, 1428},{1084, 1687},{1087, 1499},{1088, 1457},{1089, 1397},{1092, 1468},{1094, 1455},{1096, 1443},{1100, 1425},{1104, 1464},{1109, 1481},{1112, 1606},{1113, 1539},{1115, 1758},{1116, 1484},{1124, 1510},{1125, 1449},{1127, 1626},{1129, 1516},{1133, 1575},{1134, 1509},{1136, 1532},{1137, 1502},{1139, 1537},{1140, 1438},{1142, 1563},{1143, 1470},{1144, 1403},{1147, 2604},{1148, 1674},{1149, 1581},{1152, 1541},{1153, 1536},{1155, 1534},{1158, 1569},{1159, 1529},{1161, 1525},{1163, 1592},{1169, 1561},{1171, 1612},{1173, 1619},{1174, 1491},{1177, 2077},{1178, 1577},{1182, 2623},{1183, 1560},{1185, 1665},{1188, 1611},{1196, 1906},{1197, 1590},{1199, 1653},{1200, 1636},{1204, 1679},{1210, 2455},{1216, 1736},{1217, 1625},{1221, 1640},{1223, 1929},{1224, 1717},{1229, 1617},{1233, 1730},{1235, 1678},{1236, 1651},{1237, 1643},{1238, 1622},{1239, 1580},{1247, 1605},{1250, 1820},{1251, 1746},{1253, 1721},{1256, 2215},{1257, 1799},{1258, 1661},{1260, 1708},{1263, 1769},{1264, 1713},{1267, 1795},{1271, 2004},{1272, 1707},{1276, 1694},{1278, 1692},{1281, 1682},{1283, 1664},{1287, 1882},{1289, 1702},{1290, 1684},{1294, 1866},{1299, 1845},{1300, 1756},{1301, 1710},{1304, 1825},{1305, 1765},{1309, 1832},{1310, 1774},{1313, 2810},{1316, 1767},{1319, 1811},{1320, 1754},{1324, 2388},{1325, 1787},{1327, 1729},{1333, 2140},{1339, 1822},{1340, 1785},{1342, 1850},{1343, 1802},{1344, 1782},{1350, 2840},{1351, 2288},{1352, 1842},{1354, 1831},{1356, 1888},{1357, 1762},{1360, 1838},{1365, 1879},{1368, 1884},{1369, 1878},{1370, 1859},{1374, 2836},{1375, 2036},{1380, 1824},{1383, 1919},{1386, 1904},{1392, 1863},{1396, 1901},{1399, 1978},{1402, 1966},{1407, 1914},{1410, 1877},{1412, 2042},{1416, 1847},{1418, 1772},{1422, 1935},{1424, 2040},{1427, 2981},{1430, 1837},{1434, 1975},{1436, 1953},{1437, 1923},{1440, 2051},{1441, 1994},{1442, 1869},{1445, 2209},{1448, 1949},{1453, 2007},{1460, 1947},{1463, 2011},{1467, 2230},{1472, 1942},{1474, 2205},{1475, 1922},{1479, 2031},{1480, 1941},{1483, 2134},{1486, 2657},{1487, 2026},{1489, 2107},{1490, 2030},{1494, 1992},{1495, 1964},{1497, 1997},{1501, 2098},{1504, 1986},{1505, 1970},{1507, 2003},{1508, 1981},{1512, 2191},{1513, 2088},{1518, 2096},{1520, 1972},{1523, 3303},{1524, 2059},{1531, 2076},{1545, 2390},{1546, 2056},{1549, 2421},{1550, 2094},{1551, 2070},{1553, 2129},{1554, 2033},{1555, 2029},{1557, 2116},{1559, 3159},{1565, 2067},{1566, 2050},{1568, 2105},{1571, 2001},{1573, 2256},{1574, 2161},{1579, 2103},{1583, 2338},{1584, 2180},{1586, 2148},{1587, 2137},{1588, 2100},{1589, 2080},{1594, 2168},{1596, 3385},{1597, 2085},{1601, 2195},{1603, 2152},{1604, 2142},{1608, 2329},{1609, 2281},{1610, 2203},{1614, 2198},{1616, 2176},{1621, 2184},{1624, 2669},{1628, 2194},{1630, 2145},{1632, 3560},{1635, 2302},{1638, 2229},{1642, 2224},{1645, 2954},{1646, 2298},{1647, 2276},{1648, 2255},{1650, 2239},{1655, 2310},{1657, 2182},{1659, 2217},{1663, 2193},{1667, 2640},{1668, 2366},{1669, 2356},{1670, 2174},{1672, 2293},{1673, 2202},{1676, 2347},{1681, 2271},{1686, 3335},{1689, 2437},{1690, 2237},{1691, 2222},{1697, 4572},{1698, 2297},{1699, 2268},{1700, 2261},{1701, 2234},{1704, 2132},{1706, 2287},{1712, 2246},{1715, 2607},{1716, 2439},{1719, 2341},{1723, 2368},{1724, 2322},{1726, 2335},{1728, 2283},{1732, 2376},{1734, 3235},{1735, 2495},{1738, 2427},{1740, 2490},{1741, 2163},{1743, 2362},{1744, 2350},{1745, 2318},{1748, 3156},{1749, 2453},{1751, 2254},{1753, 2345},{1760, 2426},{1761, 2317},{1764, 2406},{1771, 2538},{1776, 2381},{1779, 2557},{1780, 2411},{1781, 2385},{1784, 2449},{1789, 2402},{1790, 2358},{1792, 2393},{1794, 2404},{1797, 2910},{1798, 2375},{1801, 3252},{1804, 2516},{1805, 2332},{1807, 2435},{1808, 2420},{1810, 2473},{1814, 2365},{1816, 3712},{1817, 2400},{1818, 2398},{1827, 2957},{1828, 2469},{1830, 2415},{1834, 2634},{1835, 2459},{1840, 2751},{1841, 2523},{1844, 2493},{1849, 2485},{1852, 2879},{1856, 2720},{1857, 2551},{1858, 2444},{1861, 3273},{1862, 2613},{1865, 2513},{1868, 3991},{1871, 2505},{1873, 2395},{1875, 2830},{1876, 2502},{1881, 2576},{1886, 2773},{1890, 2525},{1891, 2462},{1893, 2743},{1894, 2572},{1896, 2709},{1897, 2511},{1899, 2600},{1900, 2515},{1903, 2567},{1908, 4079},{1909, 2509},{1911, 2564},{1913, 2530},{1916, 2592},{1917, 2575},{1921, 2708},{1925, 2550},{1926, 2549},{1927, 2492},{1931, 4030},{1932, 2700},{1933, 2665},{1934, 2642},{1937, 2597},{1938, 2570},{1940, 2548},{1944, 2661},{1951, 2789},{1952, 2689},{1955, 2675},{1956, 2647},{1958, 2632},{1959, 2616},{1961, 2931},{1963, 2761},{1968, 2953},{1969, 2691},{1974, 2611},{1977, 2673},{1980, 2986},{1983, 2645},{1985, 2738},{1988, 2687},{1989, 2546},{1991, 2707},{1996, 2780},{1999, 2704},{2006, 3078},{2009, 2682},{2013, 2556},{2015, 2729},{2016, 2684},{2020, 2938},{2021, 2702},{2023, 2779},{2025, 2671},{2028, 3048},{2035, 4593},{2038, 2832},{2039, 2627},{2044, 3121},{2045, 2785},{2047, 2749},{2048, 2668},{2053, 4805},{2055, 2747},{2058, 2733},{2061, 3037},{2062, 2759},{2064, 2806},{2066, 2754},{2069, 2902},{2072, 2816},{2074, 2809},{2079, 2850},{2082, 3254},{2083, 3207},{2084, 2856},{2087, 2798},{2090, 2956},{2091, 2768},{2092, 2746},{2102, 2891},{2109, 3138},{2110, 2864},{2111, 2758},{2113, 2883},{2114, 2804},{2118, 4706},{2119, 2788},{2121, 2925},{2122, 2921},{2124, 2899},{2125, 2834},{2126, 2826},{2128, 2778},{2131, 3334},{2139, 2882},{2144, 3811},{2147, 2881},{2150, 3039},{2151, 2869},{2154, 2970},{2155, 2862},{2157, 4055},{2158, 2814},{2160, 2919},{2165, 2792},{2167, 2943},{2170, 2873},{2172, 3020},{2173, 2843},{2178, 2927},{2179, 2917},{2186, 3478},{2187, 2846},{2189, 2985},{2197, 3244},{2200, 2915},{2207, 3067},{2208, 3036},{2211, 3908},{2212, 2905},{2214, 3024},{2219, 2946},{2221, 3261},{2226, 3229},{2227, 3015},{2228, 2997},{2232, 3064},{2233, 2972},{2236, 2960},{2241, 3061},{2242, 3007},{2244, 2974},{2248, 3119},{2249, 3001},{2251, 3148},{2252, 3089},{2253, 3026},{2258, 3110},{2259, 3099},{2260, 2979},{2263, 3433},{2265, 2993},{2267, 3046},{2270, 3006},{2273, 3338},{2274, 3032},{2275, 3004},{2279, 3589},{2280, 3097},{2285, 3031},{2290, 3172},{2292, 3333},{2295, 3057},{2300, 3193},{2301, 3084},{2304, 3460},{2305, 3163},{2306, 3125},{2308, 3130},{2312, 3118},{2314, 3425},{2316, 3128},{2320, 3218},{2321, 3082},{2324, 3117},{2326, 3250},{2328, 3012},{2331, 3113},{2334, 3202},{2340, 3570},{2343, 3396},{2344, 3145},{2349, 3763},{2352, 3519},{2353, 3197},{2354, 3101},{2360, 3423},{2361, 3217},{2364, 4038},{2371, 3585},{2372, 3289},{2373, 3247},{2374, 3177},{2378, 3731},{2379, 3213},{2380, 3106},{2383, 3201},{2384, 3169},{2387, 3314},{2392, 3182},{2397, 3810},{2408, 3359},{2409, 3190},{2413, 3179},{2417, 3103},{2419, 3512},{2423, 3258},{2425, 4507},{2429, 3393},{2431, 3116},{2433, 3341},{2434, 3225},{2441, 3327},{2442, 3317},{2443, 3302},{2446, 3269},{2448, 4240},{2451, 3281},{2452, 3232},{2457, 3351},{2461, 3552},{2465, 3206},{2467, 3413},{2472, 3246},{2475, 3299},{2477, 3864},{2478, 3598},{2479, 3287},{2481, 3500},{2482, 3345},{2484, 3286},{2487, 3498},{2488, 3297},{2489, 3294},{2497, 4154},{2498, 3495},{2499, 3325},{2501, 3384},{2504, 3941},{2507, 3358},{2508, 3355},{2518, 3441},{2519, 3381},{2520, 3374},{2521, 3350},{2527, 3471},{2529, 3368},{2532, 3412},{2533, 3379},{2535, 3534},{2537, 3323},{2540, 3838},{2541, 3693},{2542, 3544},{2543, 3488},{2544, 3405},{2553, 3924},{2554, 3395},{2555, 3391},{2559, 3592},{2560, 3538},{2561, 3241},{2563, 3510},{2566, 3502},{2569, 3422},{2574, 3699},{2578, 3536},{2579, 3467},{2580, 3459},{2581, 3454},{2582, 3377},{2584, 3684},{2585, 3475},{2586, 3343},{2587, 3312},{2590, 3722},{2594, 3409},{2595, 3372},{2599, 3466},{2602, 3558},{2606, 3518},{2609, 3464},{2615, 4125},{2618, 3628},{2619, 3605},{2620, 3601},{2621, 3525},{2625, 3739},{2626, 3418},{2629, 3578},{2630, 3508},{2636, 3667},{2637, 3480},{2638, 3463},{2644, 3621},{2649, 4089},{2650, 3671},{2651, 3547},{2652, 3449},{2654, 3367},{2656, 3584},{2659, 3569},{2663, 4619},{2664, 3506},{2667, 3772},{2677, 3748},{2678, 3720},{2679, 3658},{2680, 3529},{2693, 4018},{2694, 3614},{2696, 3565},{2698, 3844},{2699, 3638},{2706, 3640},{2711, 3977},{2712, 3619},{2714, 4162},{2715, 3665},{2717, 3643},{2718, 3549},{2722, 4815},{2723, 3600},{2725, 4479},{2726, 3635},{2728, 3814},{2731, 3852},{2732, 3727},{2735, 3759},{2736, 3689},{2737, 3651},{2740, 3832},{2741, 3676},{2742, 3647},{2745, 3898},{2753, 3917},{2756, 3719},{2757, 3673},{2763, 4052},{2765, 3698},{2767, 3825},{2770, 3974},{2771, 3709},{2775, 3705},{2777, 4012},{2782, 3681},{2784, 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4732},{3753, 4953} }; int cnt, vis[maxn]; void solve(){ int a, b; a = rd(); b = rd(); int n = min(a, b), m = max(a, b); for(int i = 1; i <= 1359; i++) { if(ans[i].fi == n && ans[i].se == m) { puts("Bob"); return ; } } puts("Alice"); } int main() { int t = 1; t = rd(); while(t--) solve(); // freopen("out.txt", "w", stdout); // // ans[++cnt] = mp(2, 3); // vis[2] = vis[3] = 1; // for(int i = 5; i <= 5000; i++) { // if(vis[i]) continue; // for(int j = i + 1; j <= 5000; j++) { // if(vis[j]) continue; // bool flag = true; // for(int k = 1; k <= cnt; k++) { // int a = ans[k].fi; // int b = ans[k].se; // // int da = i - a; // int db = j - b; // // if(da > 0 && db > 0) { // if(da >= db && da % db == 0) flag = false; // if(da <= db && db % da == 0) flag = false; // } // // if(flag == false) { // break; // } // // da = j - a; // db = i - b; // // if(da > 0 && db > 0) { // if(da >= db && da % db == 0) flag = false; // if(da <= db && db % da == 0) flag = false; // } // // if(flag == false) { // break; // } // // } // // if(flag == true) { // ans[++cnt] = mp(i, j); // vis[i] = vis[j] = 1; // break; // } // // } // } // for(int i = 1; i <= cnt; i++) { // printf("{%d, %d},", ans[i].fi, ans[i].se); // } // pt(cnt); return 0; }