QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#132398 | #6329. Colorful Graph | UrgantTeam# | TL | 445ms | 16536kb | C++23 | 3.4kb | 2023-07-29 20:00:10 | 2023-07-29 20:00:11 |
Judging History
answer
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include<bits/stdc++.h>
using namespace std;
mt19937 rnd(time(0));
int const maxn = 7005;
vector < int > g[maxn], G[maxn], ts, go[maxn], res[2 * maxn];
int used[2 * maxn], cmp, numb[maxn], bad;
vector < int > in[maxn];
bitset < maxn > Gz[maxn];
int one[maxn], two[maxn], out[maxn];
bitset < maxn > free_righ, USED;
void answer(int v, int mx, int cmp) {
used[v] = bad;
if (v <= cmp) {
for (auto key : in[v]) out[key] = mx;
}
for (auto key : res[v]) {
if (used[key] != bad) answer(key, mx, cmp);
}
}
void dfs1(int v) {
used[v] = 2, numb[v] = cmp, in[cmp].push_back(v);
for (auto u : g[v]) {
if (used[u] == 1) {
dfs1(u);
} else if (numb[u] != cmp) {
go[cmp].push_back(numb[u]);
}
}
}
void dfs(int v) {
used[v] = 1;
for (auto u : G[v]) if (!used[u]) dfs(u);
ts.push_back(v);
}
void dfs2(int v, int start) {
used[v] = bad;
if (v != start) Gz[start][v] = 1;
for (auto u : go[v]) {
if (used[u] != bad) dfs2(u, start);
}
}
bool calc(int v) {
used[v] = bad;
int pos = (Gz[v]&free_righ)._Find_first();
if (pos <= cmp) {
one[v] = pos, two[pos] = v, free_righ[pos] = 0;
return true;
}
for (int u = Gz[v]._Find_first(); u <= cmp; u = Gz[v]._Find_next(u)) {
if (used[two[u]] != bad && calc(two[u])) {
one[v] = u, two[u] = v;
return true;
}
}
return false;
}
main() {
#ifdef HOME
freopen("input.txt", "r", stdin);
#endif // HOME
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, m, u, v;
cin >> n >> m;
for (int i = 1; i <= m; i++) {
cin >> u >> v;
g[u].push_back(v);
G[v].push_back(u);
}
for (int i = 1; i <= n; i++) if (!used[i]) dfs(i);
reverse(ts.begin(), ts.end());
for (auto key : ts) {
if (used[key] != 2) {
cmp++;
dfs1(key);
}
}
bad = 2;
for (int i = 1; i <= cmp; i++) {
bad++;
dfs2(i, i);
}
int find = 1;
for (int i = 1; i <= cmp; i++) free_righ[i] = 1;
vector < int > Q;
for (int i = 1; i <= cmp; i++) {
int ok = 0;
for (int j = 1; j <= cmp; j++) {
if (Gz[i][j] || Gz[j][i]) {
ok = 1;
break;
}
}
if (ok) Q.push_back(i);
}
shuffle(Q.begin(), Q.end(), rnd);
for (auto i : Q) {
for (auto j : Q) {
if (Gz[i][j] && !one[i] && !two[j]) {
one[i] = j, two[j] = i, free_righ[j] = 0;
}
}
}
while (find) {
find = 0;
bad++;
for (auto i : Q) {
if (used[i] != bad && !one[i] && calc(i)) {
find = 1;
}
}
}
int mx = 0;
bad++;
for (int i = 1; i <= cmp; i++) {
if (one[i]) res[i].push_back(one[i] + cmp), res[one[i] + cmp].push_back(i);
res[i].push_back(i + cmp), res[i + cmp].push_back(i);
}
for (int i = 1; i <= cmp; i++) {
if (used[i] != bad) {
mx++;
answer(i, mx, cmp);
}
}
for (int i = 1; i <= n; i++) cout << out[i] << " ";
cout << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 5888kb
input:
5 5 1 4 2 3 1 3 2 5 5 1
output:
1 2 2 1 1
result:
ok AC
Test #2:
score: 0
Accepted
time: 0ms
memory: 4668kb
input:
5 7 1 2 2 1 4 3 5 1 5 4 4 1 4 5
output:
2 2 1 1 1
result:
ok AC
Test #3:
score: 0
Accepted
time: 2ms
memory: 5944kb
input:
8 6 6 1 3 4 3 6 2 3 4 1 6 4
output:
4 4 4 4 3 4 2 1
result:
ok AC
Test #4:
score: 0
Accepted
time: 445ms
memory: 16536kb
input:
7000 6999 4365 4296 2980 3141 6820 4995 4781 24 2416 5844 2940 2675 3293 2163 3853 5356 262 6706 1985 1497 5241 3803 353 1624 5838 4708 5452 3019 2029 6161 3849 4219 1095 1453 4268 4567 1184 1857 2911 3977 1662 2751 6353 6496 2002 6628 1407 4623 425 1331 4445 4277 1259 3165 4994 1044 2756 5788 5496 ...
output:
1375 923 100 984 1472 1680 57 1573 1226 1750 1639 1695 605 860 685 700 1749 1593 1610 1748 530 1747 1713 1471 1214 1269 903 1423 441 927 1746 1117 955 624 1474 7 1745 463 1490 1333 1744 1409 1553 1743 1491 1742 60 1263 1573 532 253 1279 1741 1187 456 1740 928 1576 1739 418 1268 114 163 1748 1738 154...
result:
ok AC
Test #5:
score: 0
Accepted
time: 381ms
memory: 15856kb
input:
7000 6999 4832 1603 5984 6985 5355 3687 6007 2170 5984 3486 3267 2189 538 2123 4343 4553 5855 6168 5984 257 4239 2304 5984 2063 3298 1869 5984 6353 5984 2018 5984 5387 5984 3382 3164 3978 2690 2816 4810 2638 5984 3773 5984 1634 5984 2786 5984 3671 5984 5140 2943 5721 5984 414 1105 4060 3093 796 5984...
output:
1208 334 2333 2332 2331 1389 2330 2329 909 181 409 1471 561 2328 353 931 1934 1193 219 2327 840 2326 2325 2324 2177 555 2323 2322 2321 2320 2319 212 479 1736 1852 325 2318 1686 2317 2316 1138 2315 2314 1311 2313 973 2312 2266 1856 2311 2310 2309 2308 2307 2306 2013 1582 915 2273 1790 1606 554 1593 9...
result:
ok AC
Test #6:
score: 0
Accepted
time: 176ms
memory: 10152kb
input:
7000 6999 1649 5337 1701 3344 4394 2172 3330 39 5932 1141 5381 5340 5453 3300 125 2172 6810 5263 804 2172 6635 2172 676 4740 3015 1183 1710 5769 611 5915 3419 1581 2094 2172 4508 2172 6604 2433 6113 1466 1604 696 1518 1123 1287 2940 4825 2172 5130 4524 2693 2172 106 2172 5157 2172 3693 2172 5198 217...
output:
40 97 2333 2332 458 505 2331 2330 2329 685 1433 1172 1181 1271 1420 2328 1832 2327 2326 2325 18 2302 579 2324 2197 2323 365 2322 466 1359 2321 180 2320 443 2319 710 437 2318 2317 765 2191 2316 2315 1584 1111 1827 1320 2314 1689 2114 2313 2002 2312 2311 805 2310 920 1871 2309 653 259 1577 2279 2308 2...
result:
ok AC
Test #7:
score: 0
Accepted
time: 195ms
memory: 11636kb
input:
7000 6999 2896 6321 881 2623 5058 2623 4833 2623 4669 2623 4781 5007 1447 2623 4781 4768 4781 3834 2758 4792 797 5055 3784 2623 4781 5510 6606 3040 597 3459 4136 2037 1291 3989 4781 837 4781 4379 5637 2053 1642 2665 4781 4664 4781 952 4924 2511 4781 4201 4781 2352 4781 5362 3901 197 137 2623 2706 19...
output:
743 61 1339 1727 1475 871 464 1488 1750 315 554 1074 252 1282 1750 1749 1748 113 823 1022 1747 1461 1746 1745 1744 1743 1742 1741 1428 486 1272 1709 1159 310 169 542 1740 1739 906 1738 191 1118 1737 190 1525 1275 1510 1006 1441 268 805 1254 1446 333 380 1327 1496 550 1736 248 961 1009 39 1735 633 16...
result:
ok AC
Test #8:
score: 0
Accepted
time: 72ms
memory: 10544kb
input:
6999 6998 1269 3969 1269 2429 1269 2609 1269 2515 1269 6166 1269 6614 3108 1269 2105 1269 4670 1269 578 1269 4661 1269 1421 1269 2576 1269 6152 1269 1269 6636 3011 1269 305 1269 5189 1269 1683 1269 6861 1269 1269 5798 1499 1269 282 1269 914 1269 80 1269 677 1269 701 1269 1269 359 6521 1269 1269 1754...
output:
232 3180 2516 3452 3499 2323 783 3498 3497 3496 3495 3494 2062 3493 1250 2387 2629 3492 878 953 3491 1391 2713 3490 2731 3376 1734 1646 3479 3489 3374 3488 334 2505 3487 1093 3486 3485 1456 3484 3483 3195 1032 3482 3481 2382 1418 3277 2277 2350 3480 3479 3478 2553 3477 3476 1781 746 277 3449 3313 34...
result:
ok AC
Test #9:
score: 0
Accepted
time: 32ms
memory: 5372kb
input:
7000 0
output:
7000 6999 6998 6997 6996 6995 6994 6993 6992 6991 6990 6989 6988 6987 6986 6985 6984 6983 6982 6981 6980 6979 6978 6977 6976 6975 6974 6973 6972 6971 6970 6969 6968 6967 6966 6965 6964 6963 6962 6961 6960 6959 6958 6957 6956 6955 6954 6953 6952 6951 6950 6949 6948 6947 6946 6945 6944 6943 6942 6941 ...
result:
ok AC
Test #10:
score: -100
Time Limit Exceeded
input:
7000 6999 3138 1903 3285 5919 6182 1430 1164 961 1577 6445 1390 3384 935 5723 6614 6387 4799 2877 3915 5128 5366 5455 2287 3941 2053 2326 4022 6993 488 2922 4327 4701 4674 3221 1666 4773 4356 3232 3888 937 4318 6942 577 1299 4491 1938 5154 1254 790 5532 4286 5478 2918 6725 2853 304 2554 5207 5140 77...