QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#132396 | #6329. Colorful Graph | UrgantTeam# | TL | 482ms | 15708kb | C++14 | 3.1kb | 2023-07-29 19:57:05 | 2023-07-29 19:57:06 |
Judging History
answer
#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: 2ms
memory: 4644kb
input:
5 5 1 4 2 3 1 3 2 5 5 1
output:
2 1 2 1 1
result:
ok AC
Test #2:
score: 0
Accepted
time: 2ms
memory: 6512kb
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: 4600kb
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: 482ms
memory: 15708kb
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:
378 956 1418 128 48 1130 648 359 604 1750 944 1017 1625 788 247 1042 1749 1241 174 1748 1523 1747 261 1123 142 835 238 470 970 1079 1746 1234 52 667 674 794 1745 974 1484 884 1744 441 299 1743 798 1742 951 1482 671 1319 1658 1660 1741 196 406 1740 733 1411 1739 380 1125 416 1382 1673 1738 1288 717 1...
result:
ok AC
Test #5:
score: 0
Accepted
time: 370ms
memory: 14580kb
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:
2222 1071 2333 2332 2331 2253 2330 2329 748 1952 1870 570 1032 2328 899 670 1722 820 966 2327 1356 2326 2325 2324 655 1230 2323 2322 2321 2320 2319 1958 1451 2311 2215 1590 2318 1916 2317 2316 872 2315 2314 2070 2313 575 2312 491 2256 2311 2310 2309 2308 2307 2306 1983 1433 1798 2301 120 1480 1772 2...
result:
ok AC
Test #6:
score: 0
Accepted
time: 172ms
memory: 11748kb
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:
1785 445 2333 2332 1889 68 2331 2330 2329 883 161 2208 680 873 905 2328 1855 2327 2326 2325 1459 64 1797 2324 1346 2323 531 2322 1929 471 2321 553 2320 1946 2319 1487 846 2318 2317 2281 1554 2316 2315 811 185 1827 1482 2314 1433 243 2313 785 2312 2311 1727 2310 2022 515 2309 693 1736 1659 2171 2308 ...
result:
ok AC
Test #7:
score: 0
Accepted
time: 193ms
memory: 11880kb
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:
315 357 35 377 1273 1300 432 901 1750 77 1696 940 1648 820 1472 1749 1748 693 1627 1330 1747 344 1746 1745 1744 1743 1742 1741 1499 1146 931 1691 960 1368 1704 1064 1740 1739 738 1738 807 818 1737 1564 691 1085 256 895 411 84 646 832 992 1456 1063 987 940 565 1736 30 1213 705 484 1735 1698 716 1734 ...
result:
ok AC
Test #8:
score: 0
Accepted
time: 70ms
memory: 10516kb
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:
2675 951 990 1641 3499 1550 2752 3498 3497 3496 3495 3494 2896 3493 2219 2402 1468 3492 3272 1548 3491 1308 388 3490 361 2674 660 2331 3367 3489 782 3488 3446 2261 3487 2746 3486 3485 3216 3484 3483 3305 822 3482 3481 856 667 354 465 2604 3480 3479 3478 3279 3477 3476 1423 2161 898 1840 105 3475 347...
result:
ok AC
Test #9:
score: 0
Accepted
time: 30ms
memory: 5440kb
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...