QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#132402 | #6329. Colorful Graph | UrgantTeam | TL | 599ms | 16388kb | C++23 | 3.5kb | 2023-07-29 20:09:32 | 2023-07-29 20:09:34 |
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, good;
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;
good[v] = 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;
good[v] = 0;
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, good[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, good[i] = 0;
}
}
}
while (find) {
find = 0;
bad++;
for (int i = good._Find_first(); i <= cmp; i = good._Find_next(i)) {
if (used[i] != bad && 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: 2ms
memory: 4636kb
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: 2ms
memory: 6336kb
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: 4708kb
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: 599ms
memory: 16104kb
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:
596 951 814 1287 1129 1133 582 1192 1516 1750 1096 1693 632 87 929 1725 1749 1387 1259 1748 63 1747 377 861 121 1183 732 1021 1534 479 1746 877 1255 1529 695 1623 1745 1042 502 176 1744 448 823 1743 196 1742 1141 1000 735 810 1235 744 1741 1280 1159 1740 667 1328 1739 1282 294 209 846 1296 1738 1137...
result:
ok AC
Test #5:
score: 0
Accepted
time: 437ms
memory: 16388kb
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:
728 1293 2333 2332 2331 229 2330 2329 2223 596 1528 924 2179 2328 811 528 717 1188 1323 2327 2183 2326 2325 2324 1888 2184 2323 2322 2321 2320 2319 913 47 153 1485 2099 2318 1366 2317 2316 2136 2315 2314 1001 2313 1830 2312 333 196 2311 2310 2309 2308 2307 2306 469 872 2128 546 707 1952 963 494 2049...
result:
ok AC
Test #6:
score: 0
Accepted
time: 197ms
memory: 11912kb
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:
841 424 2333 2332 604 2303 2331 2330 2329 141 464 744 1127 1523 979 2328 1440 2327 2326 2325 477 418 948 2324 49 2323 1762 2322 1935 277 2321 534 2320 1697 2319 1340 1778 2318 2317 1899 1923 2316 2315 994 476 1827 2068 2314 926 1555 2313 2044 2312 2311 2294 2310 588 775 2309 7 231 969 1338 2308 2307...
result:
ok AC
Test #7:
score: 0
Accepted
time: 210ms
memory: 11520kb
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:
704 745 1277 203 1532 144 560 170 1750 524 105 1091 329 1278 914 1749 1748 40 1223 1715 1747 1510 1746 1745 1744 1743 1742 1741 437 776 607 418 654 94 11 1470 1740 1739 1707 1738 1576 1379 1737 909 182 1582 822 102 1167 744 691 403 939 1005 1318 1134 1382 1229 1736 1618 1476 824 881 1735 776 1233 17...
result:
ok AC
Test #8:
score: 0
Accepted
time: 79ms
memory: 10180kb
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:
832 2698 3332 1664 3499 2992 3159 3498 3497 3496 3495 3494 922 3493 3307 1663 2837 3492 2877 822 3491 2898 1361 3490 2647 1164 1988 444 3157 3489 1268 3488 2200 3017 3487 2690 3486 3485 570 3484 3483 1860 1388 3482 3481 819 830 2082 1850 2542 3480 3479 3478 86 3477 3476 400 2751 2131 3086 1861 3475 ...
result:
ok AC
Test #9:
score: 0
Accepted
time: 33ms
memory: 6944kb
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...