QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#132396#6329. Colorful GraphUrgantTeam#TL 482ms15708kbC++143.1kb2023-07-29 19:57:052023-07-29 19:57:06

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-29 19:57:06]
  • 评测
  • 测评结果:TL
  • 用时:482ms
  • 内存:15708kb
  • [2023-07-29 19:57:05]
  • 提交

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...

output:


result: