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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
#857375#9875. Don't Detect Cyclehos_lyricTL 1425ms4920kbC++146.9kb2025-01-15 16:43:432025-01-15 16:43:45

Judging History

你现在查看的是最新测评结果

  • [2025-01-15 16:43:45]
  • 评测
  • 测评结果:TL
  • 用时:1425ms
  • 内存:4920kb
  • [2025-01-15 16:43:43]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")



// gg: bipartite graph between {vertex} and {biconnected component}
//   (|gg| - n) biconnected components
//   isolated point: not regarded as biconnected component (==> isolated in gg)
// f: DFS out-forest
// ess: edges in biconnected component
//   (u, v) with dis[u] <= dis[v]
//   self-loop at isolated point: not included in ess
struct Biconnected {
  int n, m;
  vector<vector<int>> g, f, gg;
  vector<vector<pair<int, int>>> ess;
  vector<int> par, rs;
  int zeit;
  vector<int> dis, fin, low;

  Biconnected() {}
  explicit Biconnected(int n_) : n(n_), m(0), g(n_) {}
  void ae(int u, int v) {
    ++m;
    assert(0 <= u); assert(u < n);
    assert(0 <= v); assert(v < n);
    g[u].push_back(v);
    if (u != v) g[v].push_back(u);
  }

  int stackVLen, stackELen;
  vector<int> stackV;
  vector<pair<int, int>> stackE;
  vector<int> cntPar;
  void dfs(int u) {
    stackV[stackVLen++] = u;
    dis[u] = low[u] = zeit++;
    for (const int v : g[u]) {
      if (par[u] == v && !cntPar[u]++) continue;
      if (~dis[v]) {
        if (dis[u] >= dis[v]) stackE[stackELen++] = std::make_pair(v, u);
        if (low[u] > dis[v]) low[u] = dis[v];
      } else {
        f[u].push_back(v);
        par[v] = u;
        rs[v] = rs[u];
        const int stackEPos = stackELen;
        stackE[stackELen++] = std::make_pair(u, v);
        dfs(v);
        if (low[u] > low[v]) low[u] = low[v];
        if (dis[u] <= low[v]) {
          const int x = gg.size();
          gg.emplace_back();
          ess.emplace_back();
          for (; ; ) {
            const int w = stackV[--stackVLen];
            gg[w].push_back(x);
            gg[x].push_back(w);
            if (w == v) break;
          }
          gg[u].push_back(x);
          gg[x].push_back(u);
          for (; stackELen > stackEPos; ) ess[x].push_back(stackE[--stackELen]);
        }
      }
    }
    fin[u] = zeit;
  }
  void build() {
    f.assign(n, {});
    gg.assign(n, {});
    ess.assign(n, {});
    par.assign(n, -1);
    rs.assign(n, -1);
    zeit = 0;
    dis.assign(n, -1);
    fin.assign(n, -1);
    low.assign(n, -1);
    stackV.resize(n);
    stackE.resize(m);
    cntPar.assign(n, 0);
    for (int u = 0; u < n; ++u) if (!~dis[u]) {
      stackVLen = stackELen = 0;
      rs[u] = u;
      dfs(u);
    }
  }

  // Returns true iff u is an articulation point
  //   <=> # of connected components increases when u is removed.
  inline bool isArt(int u) const {
    return (gg[u].size() >= 2);
  }

  // Returns w s.t. w is a child of u and a descendant of v in the DFS forest.
  // Returns -1 instead if v is not a proper descendant of u
  //   O(log(deg(u))) time
  int dive(int u, int v) const {
    if (dis[u] < dis[v] && dis[v] < fin[u]) {
      int j0 = 0, j1 = f[u].size();
      for (; j0 + 1 < j1; ) {
        const int j = (j0 + j1) / 2;
        ((dis[f[u][j]] <= dis[v]) ? j0 : j1) = j;
      }
      return f[u][j0];
    } else {
      return -1;
    }
  }
  // Returns true iff there exists a v-w path when u is removed.
  //   O(log(deg(u))) time
  bool isStillReachable(int u, int v, int w) const {
    assert(0 <= u); assert(u < n);
    assert(0 <= v); assert(v < n);
    assert(0 <= w); assert(w < n);
    assert(u != v);
    assert(u != w);
    if (rs[v] != rs[w]) return false;
    if (rs[u] != rs[v]) return true;
    const int vv = dive(u, v);
    const int ww = dive(u, w);
    if (~vv) {
      if (~ww) {
        return (vv == ww || (dis[u] > low[vv] && dis[u] > low[ww]));
      } else {
        return (dis[u] > low[vv]);
      }
    } else {
      if (~ww) {
        return (dis[u] > low[ww]);
      } else {
        return true;
      }
    }
  }
};

////////////////////////////////////////////////////////////////////////////////


int N, M;
vector<int> A, B;

bool solve() {
  vector<int> ans(M, -1);
  vector<int> del(M, 0);
  for (int h = M; --h >= 0; ) {
    Biconnected bi(N);
    for (int i = 0; i < M; ++i) if (!del[i]) bi.ae(A[i], B[i]);
    bi.build();
    // adj. biconn. comp. with cycle
    vector<int> xs(N, -1);
    for (int u = 0; u < N; ++u) {
      for (const int x : bi.gg[u]) if (bi.ess[x].size() >= 2) {
        xs[u] = (~xs[u]) ? -2 : x;
      }
    }
// cerr<<"gg = "<<bi.gg<<", xs = "<<xs<<endl;
    pair<int, int> em(-1, -1);
    vector<int> deg(N, 0);
    for (int x = N; x < (int)bi.gg.size(); ++x) {
      for (const auto &e : bi.ess[x]) {
        ++deg[e.first];
        ++deg[e.second];
      }
      auto check = [&](int u) -> bool {
        if (~xs[u] && xs[u] != x) return false;
        if (deg[u] >= 3) return false;
        return true;
      };
      for (const auto &e : bi.ess[x]) {
        if (check(e.first) && check(e.second)) {
          em = e;
        }
      }
      for (const auto &e : bi.ess[x]) {
        --deg[e.first];
        --deg[e.second];
      }
    }
    for (int i = 0; i < M; ++i) if (!del[i]) {
      if (em == make_pair(A[i], B[i]) || em == make_pair(B[i], A[i])) {
        ans[h] = i;
        del[i] = 1;
        goto found;
      }
    }
    return false;
   found:{}
  }
  for (int h = 0; h < M; ++h) {
    if (h) printf(" ");
    printf("%d", ans[h] + 1);
  }
  puts("");
  return true;
}

int main() {
  for (int numCases; ~scanf("%d", &numCases); ) { for (int caseId = 1; caseId <= numCases; ++caseId) {
    scanf("%d%d", &N, &M);
    A.resize(M);
    B.resize(M);
    for (int i = 0; i < M; ++i) {
      scanf("%d%d", &A[i], &B[i]);
      --A[i];
      --B[i];
    }
    
    if (!solve()) {
      puts("-1");
    }
  }
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 3840kb

input:

1
4 4
1 2
2 3
3 4
4 2

output:

3 4 1 2

result:

ok Correct

Test #2:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

4
4 5
1 2
2 3
3 4
3 1
1 4
5 3
1 2
2 3
3 4
9 10
3 5
1 8
5 8
4 9
6 7
7 9
1 2
1 4
2 4
4 6
8 10
1 4
3 8
2 5
3 4
1 5
5 8
2 8
5 7
4 5
3 7

output:

-1
3 2 1
3 1 2 6 5 10 9 8 4 7
-1

result:

ok Correct

Test #3:

score: 0
Accepted
time: 1425ms
memory: 4880kb

input:

50
3214 2907
970 1929
2860 3033
1322 2296
931 1192
861 2505
831 2469
231 2549
1 2306
1765 1842
999 3171
177 2007
1798 1894
827 3180
673 1738
1163 1573
2213 2781
2766 3200
1663 2197
1797 2281
315 2637
442 2689
558 2874
1520 2591
651 1923
1133 2920
1747 2412
1104 1528
313 2487
632 3124
660 2182
1581 2...

output:

593 8 283 109 881 959 126 1585 1972 1985 768 904 2779 1690 1547 2110 614 2774 788 1629 606 2196 892 1586 2761 1859 532 321 2313 1959 2006 1337 1792 1923 2070 520 1478 835 1885 1233 2457 689 1115 79 359 1260 165 981 1141 2782 77 721 1682 696 458 661 2665 1080 636 2256 274 1371 2185 2821 2569 2770 153...

result:

ok Correct

Test #4:

score: 0
Accepted
time: 21ms
memory: 4276kb

input:

48
732 104
388 425
176 558
7 695
504 507
163 705
204 456
139 432
104 716
535 582
254 682
70 278
77 385
600 680
373 564
197 653
335 569
81 579
339 604
407 580
253 383
480 549
145 308
52 373
426 525
268 359
408 595
47 397
479 569
268 403
477 663
434 660
330 343
56 692
376 450
200 553
299 713
114 584
1...

output:

3 48 101 57 66 72 53 27 63 14 23 98 33 71 79 11 12 17 69 97 99 52 43 8 58 38 28 16 42 37 94 56 103 55 75 73 34 74 82 47 54 7 81 44 22 64 5 49 2 92 59 102 50 80 15 93 35 88 77 6 83 62 60 20 10 40 100 1 51 87 104 25 29 95 70 61 41 36 78 32 91 65 18 84 39 85 76 19 26 89 96 24 31 46 67 90 30 21 4 9 68 4...

result:

ok Correct

Test #5:

score: 0
Accepted
time: 1115ms
memory: 4920kb

input:

24
3635 2454
724 2161
994 3233
30 278
2047 3627
693 1048
112 2609
9 1552
889 946
987 2538
923 1911
53 1198
2429 3200
1338 3544
504 2644
1116 3446
815 877
245 3601
2177 3180
212 1638
1140 3241
159 2455
2447 2460
957 1585
980 2338
1254 3014
382 3596
510 595
1408 2300
2053 2276
2177 3415
1051 3353
136 ...

output:

308 414 416 388 1634 1346 1771 7 742 1937 1059 2161 1498 144 697 2254 26 596 1287 1171 1807 2114 371 631 2292 80 519 2054 1511 75 1451 865 266 1742 637 1299 1703 1600 1175 1376 1947 1449 2074 2424 539 1469 1100 1441 1591 43 920 1564 1300 1611 901 57 740 1838 1760 2169 964 1520 74 610 507 2219 552 43...

result:

ok Correct

Test #6:

score: 0
Accepted
time: 531ms
memory: 4736kb

input:

56
2367 1768
132 2148
1280 2214
473 2270
78 2126
374 2080
777 1617
74 152
46 125
36 1136
1340 2010
1536 1801
291 619
610 1567
1688 2303
1005 2308
1101 1988
1695 2257
1056 1405
1134 1579
1819 2281
1281 1952
2065 2102
1984 2353
215 1994
984 2258
1916 2059
1128 2198
966 1048
965 1424
866 932
227 543
33...

output:

1049 1609 1274 123 425 762 478 147 28 325 676 798 1439 86 1184 151 1348 866 904 117 978 1186 488 1524 358 163 938 413 513 1419 1592 1243 520 331 601 1413 862 1740 266 625 666 860 953 1259 1741 267 7 1084 1279 1564 130 427 1122 497 1141 579 1223 215 149 429 17 1745 566 521 682 594 291 778 1471 705 14...

result:

ok Correct

Test #7:

score: 0
Accepted
time: 310ms
memory: 4608kb

input:

56
1804 2031
215 520
41 228
505 1449
1202 1467
175 474
583 1684
127 1013
11 1132
251 1009
1333 1516
22 633
168 1160
866 1584
1501 1510
425 1494
563 1764
1341 1646
76 114
541 943
163 166
103 184
455 1225
708 1649
836 1551
551 1381
570 1509
125 221
371 1117
436 1012
392 732
76 379
1040 1359
119 1405
1...

output:

-1
7 15 12 10 13 8 3 6 1 14 11 18 17 16 4 5 9 2
7 5 2 16 18 3 10 14 8 20 9 13 6 1 12 4 11 19 15 17
19 11 9 10 12 17 5 23 14 21 3 18 6 15 2 13 7 16 25 4 1 20 24 22 8
9 17 6 19 1 18 16 12 4 10 20 7 8 3 5 11 21 13 15 2 14
19 16 2 17 18 6 14 1 8 7 20 12 4 13 10 15 9 11 3 5
9 13 2 14 15 1 19 16 8 5 7 18 ...

result:

ok Correct

Test #8:

score: 0
Accepted
time: 2ms
memory: 3840kb

input:

38
17 122
7 11
1 8
2 13
5 6
6 10
9 17
6 13
10 12
2 9
12 14
14 15
3 8
8 12
3 16
3 17
6 16
5 12
4 11
11 16
5 13
5 17
1 4
1 10
8 15
2 16
3 10
6 7
5 7
2 17
10 17
7 12
3 6
9 11
6 17
4 6
9 16
1 16
12 15
7 17
9 10
1 5
10 15
7 10
3 13
1 14
8 14
4 5
4 17
1 17
8 17
7 8
1 2
10 13
11 15
15 16
2 12
2 11
3 7
8 9
...

output:

-1
-1
-1
-1
-1
7 15 12 10 13 8 3 6 1 14 11 18 17 16 4 5 9 2
7 5 2 16 18 3 10 14 8 20 9 13 6 1 12 4 11 19 15 17
19 11 9 10 12 17 5 23 14 21 3 18 6 15 2 13 7 16 25 4 1 20 24 22 8
9 17 6 19 1 18 16 12 4 10 20 7 8 3 5 11 21 13 15 2 14
19 16 2 17 18 6 14 1 8 7 20 12 4 13 10 15 9 11 3 5
9 13 2 14 15 1 19 ...

result:

ok Correct

Test #9:

score: 0
Accepted
time: 4ms
memory: 3968kb

input:

61
12 66
11 12
5 8
9 12
4 9
2 9
6 12
2 11
1 2
3 6
3 12
6 10
5 6
2 12
10 12
8 12
7 8
7 9
2 8
3 11
3 9
3 10
8 11
2 6
5 12
5 9
4 7
4 5
4 6
5 11
1 3
5 7
1 7
7 10
5 10
6 7
4 12
3 5
4 8
2 3
1 8
6 11
4 11
3 7
1 5
3 4
9 11
1 10
4 10
6 9
7 11
1 4
8 9
10 11
1 11
7 12
1 9
9 10
1 12
6 8
8 10
2 10
2 5
3 8
2 7
1 ...

output:

-1
-1
-1
-1
-1
-1
7 15 12 10 13 8 3 6 1 14 11 18 17 16 4 5 9 2
7 5 2 16 18 3 10 14 8 20 9 13 6 1 12 4 11 19 15 17
19 11 9 10 12 17 5 23 14 21 3 18 6 15 2 13 7 16 25 4 1 20 24 22 8
9 17 6 19 1 18 16 12 4 10 20 7 8 3 5 11 21 13 15 2 14
19 16 2 17 18 6 14 1 8 7 20 12 4 13 10 15 9 11 3 5
9 13 2 14 15 1 ...

result:

ok Correct

Test #10:

score: 0
Accepted
time: 2ms
memory: 3968kb

input:

18
51 1255
24 43
42 51
4 36
29 31
41 42
43 48
10 26
30 40
4 51
25 42
24 42
2 6
3 24
6 21
34 46
5 10
2 37
12 41
19 25
1 2
18 22
1 20
45 49
3 22
14 25
16 25
26 31
25 48
36 45
24 29
34 39
26 29
6 37
18 38
2 51
10 22
15 26
30 33
1 15
10 37
17 33
11 22
28 32
32 39
13 17
21 28
8 23
20 46
8 38
5 44
5 30
4 ...

output:

-1
-1
-1
-1
-1
-1
-1
-1
7 15 12 10 13 8 3 6 1 14 11 18 17 16 4 5 9 2
7 5 2 16 18 3 10 14 8 20 9 13 6 1 12 4 11 19 15 17
19 11 9 10 12 17 5 23 14 21 3 18 6 15 2 13 7 16 25 4 1 20 24 22 8
9 17 6 19 1 18 16 12 4 10 20 7 8 3 5 11 21 13 15 2 14
19 16 2 17 18 6 14 1 8 7 20 12 4 13 10 15 9 11 3 5
9 13 2 14...

result:

ok Correct

Test #11:

score: 0
Accepted
time: 3ms
memory: 3968kb

input:

61
22 223
1 22
10 22
2 7
19 20
13 17
17 21
18 19
15 16
9 17
5 19
5 8
12 18
4 17
10 20
2 10
4 15
7 11
16 19
5 20
3 14
3 17
7 12
3 21
4 11
17 22
10 17
8 21
9 20
6 11
2 20
5 7
3 18
9 22
13 22
6 14
14 19
5 12
4 22
2 3
14 17
12 16
7 20
5 10
4 7
4 13
1 19
10 13
1 20
13 19
4 6
11 19
3 11
9 14
8 15
3 16
2 8...

output:

-1
-1
-1
-1
-1
-1
-1
7 15 12 10 13 8 3 6 1 14 11 18 17 16 4 5 9 2
7 5 2 16 18 3 10 14 8 20 9 13 6 1 12 4 11 19 15 17
19 11 9 10 12 17 5 23 14 21 3 18 6 15 2 13 7 16 25 4 1 20 24 22 8
9 17 6 19 1 18 16 12 4 10 20 7 8 3 5 11 21 13 15 2 14
19 16 2 17 18 6 14 1 8 7 20 12 4 13 10 15 9 11 3 5
9 13 2 14 15...

result:

ok Correct

Test #12:

score: -100
Time Limit Exceeded

input:

1
4000 4000
1248 3248
260 3260
344 1017
843 3949
451 1483
275 1413
231 3477
264 940
567 1383
1072 3173
830 3445
437 2322
929 1624
1221 2034
3297 3458
1412 1642
837 2505
1918 3259
554 2070
3630 3807
1217 3188
3149 3199
949 1179
2697 3656
802 2039
2496 3757
1073 2857
765 2310
178 3862
1385 2597
1870 2...

output:


result: