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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#132403#6329. Colorful GraphUrgantTeamTL 569ms15604kbC++233.5kb2023-07-29 20:10:172023-07-29 20:10:19

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 20:10:19]
  • 评测
  • 测评结果:TL
  • 用时:569ms
  • 内存:15604kb
  • [2023-07-29 20:10:17]
  • 提交

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 (calc(i)) {
                find = 1, bad++;
            }
        }
    }
    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;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 6404kb

input:

5 5
1 4
2 3
1 3
2 5
5 1

output:

2 1 2 1 2 

result:

ok AC

Test #2:

score: 0
Accepted
time: 1ms
memory: 5776kb

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: 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: 569ms
memory: 15604kb

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:

1506 516 349 1407 952 53 1739 900 1257 1750 791 1041 1277 791 414 1435 1749 1053 1526 1748 1747 1747 1471 1469 924 803 1099 981 146 1149 1746 106 168 473 936 595 1745 1557 629 1361 1744 985 1554 1743 668 1742 448 1558 96 24 1235 1275 1741 1077 1359 1740 1190 94 1739 1439 1385 155 1496 775 1738 1137 ...

result:

ok AC

Test #5:

score: 0
Accepted
time: 376ms
memory: 15576kb

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:

1461 656 2333 2332 2331 131 2330 2329 1594 1183 2250 12 853 2328 917 1043 1725 2042 1153 2327 2184 2326 2325 2324 2132 55 2323 2322 2321 2320 2319 18 922 1492 2081 1170 2318 69 2317 2316 86 2315 2314 411 2313 294 2312 1993 314 2311 2310 2309 2308 2307 2306 1489 2026 1145 569 344 233 1537 1390 1674 2...

result:

ok AC

Test #6:

score: 0
Accepted
time: 191ms
memory: 10788kb

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:

946 2048 2333 2332 2155 1107 2331 2330 2329 1464 68 320 1841 1672 711 2328 58 2327 2326 2325 1039 169 1496 2324 905 2323 1062 2322 1771 335 2321 1761 2320 2171 2319 220 30 2318 2317 213 1961 2316 2315 1937 963 2002 2330 2314 539 716 2313 745 2312 2311 394 2310 1788 685 2309 908 1282 278 790 2308 230...

result:

ok AC

Test #7:

score: 0
Accepted
time: 212ms
memory: 11624kb

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:

657 553 846 1460 1474 1526 1072 367 1750 540 609 1361 1563 1673 703 1749 1748 1009 222 182 1747 536 1746 1745 1744 1743 1742 1741 730 659 941 925 1597 864 749 995 1740 1739 695 1738 929 1163 1737 700 650 430 1022 856 79 1621 1091 13 733 1393 1518 19 1513 1321 1736 691 1493 1159 1563 1735 1338 1637 1...

result:

ok AC

Test #8:

score: 0
Accepted
time: 75ms
memory: 10492kb

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:

3237 751 3476 2952 3499 1061 445 3498 3497 3496 3495 3494 1472 3493 14 1618 1234 3492 2017 3487 3491 467 2799 3490 1248 246 912 85 1799 3489 3008 3488 2619 67 3487 1736 3486 3485 674 3484 3483 2946 177 3482 3481 417 2924 3303 354 1584 3480 3479 3478 540 3477 3476 1858 3185 2630 1087 2131 3475 3474 1...

result:

ok AC

Test #9:

score: 0
Accepted
time: 37ms
memory: 5340kb

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: