QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#132399 | #6329. Colorful Graph | UrgantTeam# | TL | 420ms | 17032kb | C++23 | 3.2kb | 2023-07-29 20:00:22 | 2023-07-29 20:00:26 |
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++) {
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: 1ms
memory: 5912kb
input:
5 5 1 4 2 3 1 3 2 5 5 1
output:
1 2 2 1 2
result:
ok AC
Test #2:
score: 0
Accepted
time: 0ms
memory: 6608kb
input:
5 7 1 2 2 1 4 3 5 1 5 4 4 1 4 5
output:
2 2 1 2 2
result:
ok AC
Test #3:
score: 0
Accepted
time: 2ms
memory: 4624kb
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: 420ms
memory: 17032kb
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:
490 91 411 182 33 284 1513 1253 1268 1750 1687 1673 230 529 176 986 1749 1615 1220 1748 1607 1747 1595 398 1157 633 427 1571 1257 798 1746 161 365 1140 553 544 1745 971 585 108 1744 938 916 1743 1110 1742 25 948 1402 972 1029 1035 1741 475 714 1740 563 610 1739 47 40 549 1551 1426 1738 494 307 1141 ...
result:
ok AC
Test #5:
score: 0
Accepted
time: 368ms
memory: 15716kb
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:
2126 2123 2333 2332 2331 467 2330 2329 1525 848 1193 1798 2013 2328 85 1051 997 1114 520 2327 2006 2326 2325 2324 371 1011 2323 2322 2321 2320 2319 1498 159 2214 211 635 2318 315 2317 2316 769 2315 2314 1560 2313 247 2312 1403 2295 2311 2310 2309 2308 2307 2306 268 532 862 869 1178 402 844 1323 1183...
result:
ok AC
Test #6:
score: 0
Accepted
time: 172ms
memory: 12060kb
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:
589 274 2333 2332 107 1599 2331 2330 2329 1615 2326 582 838 1522 1557 2328 588 2327 2326 2325 2143 392 2052 2324 795 2323 1556 2322 1156 1954 2321 232 2320 509 2319 1695 714 2318 2317 83 2179 2316 2315 960 807 1181 1427 2314 1178 1876 2313 1632 2312 2311 2120 2310 1237 87 2309 2282 1416 1639 1291 23...
result:
ok AC
Test #7:
score: 0
Accepted
time: 197ms
memory: 10596kb
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:
1432 202 182 617 475 928 618 235 1750 992 1560 1348 1700 478 811 1749 1748 1427 479 1664 1747 1012 1746 1745 1744 1743 1742 1741 210 910 534 1603 1113 281 1076 575 1740 1739 665 1738 1644 1265 1737 1040 1553 545 1013 1521 571 1585 65 1033 510 1195 59 528 1684 470 1736 1051 3 298 219 1735 1007 1474 1...
result:
ok AC
Test #8:
score: 0
Accepted
time: 63ms
memory: 8912kb
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:
1295 1190 1180 946 3499 2805 3305 3498 3497 3496 3495 3494 2566 3493 812 2570 1860 3492 184 118 3491 286 660 3490 2655 548 3155 1722 2458 3489 1373 3488 35 1034 3487 527 3486 3485 326 3484 3483 1148 2290 3482 3481 1479 1512 2833 1235 446 3480 3479 3478 224 3477 3476 507 236 3366 1008 1825 3475 3474 ...
result:
ok AC
Test #9:
score: 0
Accepted
time: 27ms
memory: 5504kb
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...