QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#100080#6329. Colorful Graphtikhon#TL 1655ms10964kbC++172.8kb2023-04-24 16:55:492023-04-24 16:55:51

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.
  • [2023-04-24 16:55:51]
  • 评测
  • 测评结果:TL
  • 用时:1655ms
  • 内存:10964kb
  • [2023-04-24 16:55:49]
  • 提交

answer

#include<bits/stdc++.h>

using namespace std;
#define ll long long
#define pii pair<int, int>
#define ld long double
#define all(a) (a).begin(), (a).end()

const int MAXN = 7070;
vector<int> G[MAXN];
vector<int> GT[MAXN];
vector<int> order;
bool used[MAXN];

void dfs1(int v) {
    used[v] = true;
    for (int u : G[v]) {
        if (!used[u])
            dfs1(u);
    }
    order.emplace_back(v);
}

int id[MAXN];

void dfs2(int v, int c) {
    id[v] = c;
    for (int u : GT[v]) {
        if (id[u] == -1)
            dfs2(u, c);
    }
}

vector<int> GG[MAXN];
bitset<MAXN> real_g[MAXN];

int was[MAXN];
int couple[MAXN];

bool khun(int v, int c) {
    if (was[v] == c)
        return false;
    was[v] = c;
    for (int i = real_g[v]._Find_first(); i < real_g[v].size(); i = real_g[v]._Find_next(i)) {
        if (couple[i] == -1) {
            couple[i] = v;
            return true;
        }
    }
    for (int i = real_g[v]._Find_first(); i < real_g[v].size(); i = real_g[v]._Find_next(i)) {
        if (khun(couple[i], c)) {
            couple[i] = v;
            return true;
        }
    }
    return false;
}

signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    int n, m;
    cin >> n >> m;
    for (int i = 0; i < m; ++i) {
        int a, b;
        cin >> a >> b;
        G[a - 1].emplace_back(b - 1);
        GT[b - 1].emplace_back(a - 1);
    }
    fill(used, used + n, false);
    for (int i = 0; i < n; ++i) {
        if (!used[i])
            dfs1(i);
    }
    reverse(order.begin(), order.end());
    fill(id, id + n, -1);
    int cnt = 0;
    for (int v : order) {
        if (id[v] != -1)
            continue;
        dfs2(v, cnt);
        ++cnt;
    }
    for (int v = 0; v < n; ++v) {
        for (int u : G[v]) {
            if (id[u] == id[v])
                continue;
            GG[id[v]].emplace_back(id[u]);
        }
    }
    for (int i = cnt - 1; i >= 0; --i) {
        for (int u : GG[i])
            real_g[i] |= real_g[u];
        real_g[i][i] = true;
    }
    for (int i = 0; i < cnt; ++i)
        real_g[i][i] = false;
    fill(was, was + cnt, -1);
    fill(couple, couple + cnt, -1);
    for (int i = 0; i < cnt; ++i)
        khun(i, i);
    vector<int> real_color(cnt, -1);
    int ans = 0;
    for (int i = 0; i < cnt; ++i) {
        if (real_color[i] != -1)
            continue;
        int j = i;
        while (couple[j] != -1 && real_color[j] == -1) {
            j = couple[j];
        }
        if (real_color[j] == -1) {
            real_color[j] = ans;
            ++ans;
        }
        int cur = i;
        while (real_color[cur] == -1) {
            real_color[cur] = real_color[j];
            cur = couple[cur];
        }
    }
    for (int i = 0; i < n; ++i)
        cout << 1 + real_color[id[i]] << ' ';
    cout << '\n';
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 3964kb

input:

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

output:

1 1 1 2 1 

result:

ok AC

Test #2:

score: 0
Accepted
time: 0ms
memory: 3920kb

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: 0ms
memory: 4004kb

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: 40ms
memory: 10684kb

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:

1750 569 1623 1022 1383 1749 1748 1072 1747 714 1342 373 1747 157 730 1746 596 1745 120 622 1690 1247 135 1227 1184 1744 1743 996 1500 1742 153 325 1741 1740 257 1241 1235 1739 111 1738 1427 1736 1737 252 1736 1625 1735 1060 1734 1733 1286 1732 1018 355 1546 476 850 1731 141 1730 72 564 1484 1205 16...

result:

ok AC

Test #5:

score: 0
Accepted
time: 29ms
memory: 10648kb

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:

2088 2098 827 544 469 1973 1566 1831 162 2236 2252 862 346 1945 1305 2333 1649 1371 1117 572 2332 1366 1951 1980 1550 242 706 2246 1570 1162 647 1564 1369 737 2331 2330 1887 983 332 994 2329 1624 2160 2328 1269 2327 528 2326 2325 2211 1616 2181 926 1863 502 593 2324 2323 2322 2321 204 113 2320 2202 ...

result:

ok AC

Test #6:

score: 0
Accepted
time: 52ms
memory: 10640kb

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:

2333 2332 681 997 258 2331 1343 1853 1885 2330 1564 2329 2328 471 1789 534 2327 857 1737 1986 2002 2326 2325 516 1538 1109 2112 796 2324 2323 1682 2322 1010 2177 670 2321 1138 781 1499 2320 652 811 1827 2319 1055 1701 1942 1030 2318 116 872 2317 2037 118 1971 990 904 2316 414 14 2315 165 2314 479 15...

result:

ok AC

Test #7:

score: 0
Accepted
time: 41ms
memory: 10912kb

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:

1750 1406 1664 23 1501 1680 1522 1749 1397 1748 1576 155 56 712 1347 308 203 31 872 1747 406 1220 956 1144 384 247 323 744 1746 1745 1024 1744 885 233 1561 1434 215 1525 378 1052 1113 282 872 925 1743 1453 1742 1275 1741 1354 105 1188 1740 1739 970 1738 256 709 968 807 1737 1673 987 1638 792 1736 14...

result:

ok AC

Test #8:

score: 0
Accepted
time: 27ms
memory: 10560kb

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:

3499 3498 3497 3496 2428 3495 3494 834 2456 256 197 555 3493 3067 3492 3491 3490 2525 3489 3488 3376 3487 3486 809 3485 3484 3483 3482 3481 1826 3480 2434 3479 3478 307 3477 1887 3042 3476 2986 2530 3475 3474 2297 413 3473 3472 3471 3470 3469 979 1949 8 3468 3238 1106 3467 3466 3465 3464 3463 2924 3...

result:

ok AC

Test #9:

score: 0
Accepted
time: 1ms
memory: 10236kb

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: 0
Accepted
time: 7ms
memory: 10876kb

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:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok AC

Test #11:

score: 0
Accepted
time: 1006ms
memory: 10964kb

input:

7000 6999
33 3147
5877 4807
3116 4168
1651 2456
624 1740
6440 3058
6414 489
1023 2523
706 93
5523 598
4211 6063
3570 6840
6566 2971
6614 1907
5893 4389
4022 2527
5096 2345
4682 2134
188 5597
695 4285
1344 3832
3534 879
6574 6252
3759 3444
2167 85
5630 6600
3158 4404
6389 689
4871 6719
4295 6008
3437...

output:

60 24 2 2 60 44 2 52 2 2 2 2 2 71 2 65 2 22 2 2 22 2 22 2 2 2 2 2 2 2 2 2 70 2 2 56 24 24 2 2 2 39 41 2 69 2 24 2 2 48 2 2 2 2 2 61 2 2 2 24 11 24 65 2 2 2 2 4 24 2 22 22 2 2 21 2 21 22 10 2 60 32 2 2 12 53 2 2 45 2 65 2 2 2 2 19 68 2 5 2 2 2 2 65 2 2 60 2 2 24 2 2 2 31 65 2 44 2 2 2 2 10 41 2 44 2 ...

result:

ok AC

Test #12:

score: 0
Accepted
time: 1655ms
memory: 8368kb

input:

7000 6999
1247 5150
3318 2013
5686 1615
6145 6521
5717 94
2787 3443
2648 4875
5332 5934
1897 1651
4640 2183
1750 6964
148 5228
745 2814
474 1165
496 6735
180 3412
2723 3374
6200 4361
497 5328
1928 5998
5648 1261
5090 4723
1715 706
2499 897
6569 6204
6039 2787
2882 5044
5767 4256
975 1877
1857 4453
6...

output:

1 274 1 130 1 1 130 1 57 1 171 191 57 1 1 227 1 1 1 1 1 1 1 1 1 1 222 1 64 273 1 1 1 1 1 1 209 1 57 1 1 1 259 1 1 211 1 1 1 145 43 272 1 1 1 1 1 146 143 1 203 160 1 1 1 236 1 1 193 145 1 7 160 1 1 1 1 1 271 43 1 1 1 1 1 229 1 1 1 1 24 1 1 1 266 1 1 1 1 1 61 1 1 83 80 1 1 7 1 255 16 1 1 201 1 47 1 1 ...

result:

ok AC

Test #13:

score: -100
Time Limit Exceeded

input:

7000 6999
2349 199
5295 2831
6143 2006
3212 3198
6956 3807
732 4838
5069 1027
5744 3479
6 5301
5687 4452
4201 1151
1353 4884
548 3506
6094 4799
4950 6939
5234 817
652 1314
979 6984
5771 1851
398 1322
2294 4298
847 3929
6833 183
2904 6745
4797 3874
94 315
4282 582
6591 5037
962 147
799 908
2593 5547
...

output:


result: