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Submission #389164

# Submission time Handle Problem Language Result Execution time Memory
389164 2021-04-13T18:36:51 Z Hegdahl Joker (BOI20_joker) C++17
14 / 100
 2000 ms 16132 KB 
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#define ar array

using namespace std;

const int mxN = 2e5;
const int mxM = 2e5;

const int mxR = ceil(sqrt(mxM));

ar<int, 2> edges[mxM];

int boss[mxN], under[mxN], toggle[mxN];

int tmp_boss[mxN], tmp_under[mxN], tmp_toggle[mxN];

vector<int> tmp_changes;

ar<int, 2> find(int i, bool tmp) {
  if (tmp_boss[i]!=-1 || i != boss[i]) {
    int b, bp;

    if (tmp_boss[i] != -1) {
      auto p = find(tmp_boss[i], tmp);
      b = p[0], bp = p[1];
    } else {
      auto p = find(boss[i], tmp);
      b = p[0], bp = p[1];
    }

    if (tmp) {
      tmp_boss[i] = b;

      int was_toggle = tmp_toggle[i];
      if (was_toggle == -1) was_toggle = toggle[i];
      tmp_toggle[i] = was_toggle ^ bp;

      tmp_changes.push_back(i);
    } else {
      boss[i] = b;
      toggle[i] ^= bp;
    }
  }

  int rb = tmp_boss[i], rp = tmp_toggle[i];
  if (rb == -1) rb = boss[i];
  if (rp == -1) rp = toggle[i];

  //if (tmp) cerr << "() ";
  //cerr << "find " << i << ' ' << rb << ' ' << rp << '\n';
  return {rb, rp};
}

bool unite(int _i, int _j, bool tmp) {
  // returns true as long as bipartite

  //cerr << '\n';
  //if (tmp) cerr << "() ";
  //cerr << _i << ' ' << _j << ' ' << tmp << '\n';

  auto [i, hi] = find(_i, tmp);
  auto [j, hj] = find(_j, tmp);

  //cerr << i << ' ' << j << ' ' << '\n';

  if (i == j) {
    return hi != hj;
  }

  //cerr << "h: " << hi << ' ' << hj << '\n';

  int under_i = tmp_under[i], under_j = tmp_under[j];
  if (under_i == -1) under_i = under[i];
  if (under_j == -1) under_j = under[j];

  if (under_i > under_j) swap(i, j);

  if (tmp) {
    tmp_boss[i] = j;
    tmp_under[j] = under_j + under_i;
    tmp_toggle[i] = toggle[i] ^ hi ^ hj ^ 1;

    tmp_changes.push_back(i);
    tmp_changes.push_back(j);
  } else {
    boss[i] = j;
    under[j] = under_j + under_i;

    toggle[i] ^= hi ^ hj ^ 1;
  }

  //cerr << "new boss: " << j << ' ' << toggle[j] << '\n';
  //cerr << "toggle: " << toggle[_i] << ' ' << toggle[_j] << '\n';

  return true;
}

int main() {
  ios::sync_with_stdio(0);cin.tie(0);

  int n, m, q;
  cin >> n >> m >> q;

  fill(tmp_boss, tmp_boss+n, -1);
  fill(tmp_under, tmp_under+n, -1);
  fill(tmp_toggle, tmp_toggle+n, -1);

  for (int mm = 0; mm < m; ++mm)
    for (int i : {0, 1})
      cin >> edges[mm][i], --edges[mm][i];

  iota(boss, boss+n, 0);
  fill(under, under+n, 1);
  fill(toggle, toggle+n, 0);

  bool all_bipartite = true;
  for (int mm = 0; all_bipartite && mm < m; ++mm)
    all_bipartite &= unite(edges[mm][0], edges[mm][1], false);

  if (all_bipartite) {
    for (int qq = 0; qq < q; ++qq)
      cout << "NO\n";
    return 0;
  }

  vector<int> buckets[mxM];

  int root = (int)sqrt(q);
  //cerr << "root " << root << '\n';

  vector<ar<int,2>> qs(q);
  for (int qq = 0; qq < q; ++qq) {
    for (int i : {0, 1})
      cin >> qs[qq][i], --qs[qq][i];
    buckets[qs[qq][0]/root].push_back(qq);
  }

  vector<bool> ans(q);

  for (int b = 0; b <= (m-1)/root; ++b) {
    sort(buckets[b].begin(), buckets[b].end(), [&](int i, int j){
        return qs[i][1] > qs[j][1];
        });

    //cerr << "RESET\n";

    iota(boss, boss+n, 0);
    fill(under, under+n, 1);
    fill(toggle, toggle+n, 0);

    bool bipartite = true;

    for (int mm = 0; bipartite && mm < m; ++mm) {
      if (mm/root >= b) break;
      bipartite &= unite(edges[mm][0], edges[mm][1], false);
    }

    int R = m-1;

    for (int qq : buckets[b]) {
      //cerr << "qry: " << qs[qq][0] << ' ' << qs[qq][1] << '\n';

      while (bipartite && R > qs[qq][1]) {
        bipartite &= unite(edges[R][0], edges[R][1], false);
        --R;
      }

      bool tmp_bipartite = bipartite;
      int L = b*root;
      while (tmp_bipartite && L < qs[qq][0]) {
        tmp_bipartite &= unite(edges[L][0], edges[L][1], true);
        ++L;
      }

      ans[qq] = tmp_bipartite;

      //cerr << tmp_bipartite << '\n';

      //cerr << "tmp_reset\n";
      while (tmp_changes.size()) {
        int i = tmp_changes.back();
        tmp_changes.pop_back();
        tmp_boss[i] = -1;
        tmp_under[i] = -1;
        tmp_toggle[i] = -1;
      }
    }
  }

  for (bool a : ans)
    cout << (a?"NO\n":"YES\n");

}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 3 ms 4940 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 3 ms 5068 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 3 ms 4940 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 3 ms 4940 KB Output is correct
22 Correct 3 ms 4940 KB Output is correct
23 Correct 3 ms 5024 KB Output is correct
24 Correct 3 ms 4940 KB Output is correct
25 Correct 3 ms 4940 KB Output is correct
26 Correct 3 ms 4940 KB Output is correct
27 Correct 3 ms 4940 KB Output is correct
28 Correct 3 ms 4940 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 3 ms 4940 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 3 ms 5068 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 3 ms 4940 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 3 ms 4940 KB Output is correct
22 Correct 3 ms 4940 KB Output is correct
23 Correct 3 ms 5024 KB Output is correct
24 Correct 3 ms 4940 KB Output is correct
25 Correct 3 ms 4940 KB Output is correct
26 Correct 3 ms 4940 KB Output is correct
27 Correct 3 ms 4940 KB Output is correct
28 Correct 3 ms 4940 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 6 ms 5104 KB Output is correct
31 Correct 6 ms 5096 KB Output is correct
32 Correct 6 ms 5068 KB Output is correct
33 Correct 5 ms 5068 KB Output is correct
34 Correct 6 ms 5068 KB Output is correct
35 Correct 7 ms 5068 KB Output is correct
36 Correct 6 ms 5068 KB Output is correct
37 Correct 8 ms 5068 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 7 ms 5068 KB Output is correct
40 Correct 6 ms 5068 KB Output is correct
41 Correct 6 ms 5068 KB Output is correct
42 Correct 6 ms 5068 KB Output is correct
43 Correct 5 ms 5068 KB Output is correct
44 Correct 6 ms 5068 KB Output is correct
45 Correct 5 ms 5068 KB Output is correct
46 Correct 6 ms 5068 KB Output is correct
47 Correct 6 ms 5068 KB Output is correct
48 Correct 6 ms 5068 KB Output is correct
49 Correct 6 ms 5068 KB Output is correct
50 Correct 6 ms 5068 KB Output is correct
51 Correct 6 ms 5128 KB Output is correct
52 Correct 6 ms 5068 KB Output is correct
53 Correct 8 ms 5068 KB Output is correct
54 Correct 7 ms 5068 KB Output is correct

Subtask #3
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1685 ms 12048 KB Output is correct
4 Correct 61 ms 7116 KB Output is correct
5 Execution timed out 2080 ms 16132 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 3 ms 4940 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 3 ms 5068 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 3 ms 4940 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 3 ms 4940 KB Output is correct
22 Correct 3 ms 4940 KB Output is correct
23 Correct 3 ms 5024 KB Output is correct
24 Correct 3 ms 4940 KB Output is correct
25 Correct 3 ms 4940 KB Output is correct
26 Correct 3 ms 4940 KB Output is correct
27 Correct 3 ms 4940 KB Output is correct
28 Correct 3 ms 4940 KB Output is correct
29 Correct 1685 ms 12048 KB Output is correct
30 Correct 61 ms 7116 KB Output is correct
31 Execution timed out 2080 ms 16132 KB Time limit exceeded
32 Halted 0 ms 0 KB -

Subtask #5
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 3 ms 4940 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 3 ms 5068 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 3 ms 4940 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 3 ms 4940 KB Output is correct
22 Correct 3 ms 4940 KB Output is correct
23 Correct 3 ms 5024 KB Output is correct
24 Correct 3 ms 4940 KB Output is correct
25 Correct 3 ms 4940 KB Output is correct
26 Correct 3 ms 4940 KB Output is correct
27 Correct 3 ms 4940 KB Output is correct
28 Correct 3 ms 4940 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 6 ms 5104 KB Output is correct
31 Correct 6 ms 5096 KB Output is correct
32 Correct 6 ms 5068 KB Output is correct
33 Correct 5 ms 5068 KB Output is correct
34 Correct 6 ms 5068 KB Output is correct
35 Correct 7 ms 5068 KB Output is correct
36 Correct 6 ms 5068 KB Output is correct
37 Correct 8 ms 5068 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 7 ms 5068 KB Output is correct
40 Correct 6 ms 5068 KB Output is correct
41 Correct 6 ms 5068 KB Output is correct
42 Correct 6 ms 5068 KB Output is correct
43 Correct 5 ms 5068 KB Output is correct
44 Correct 6 ms 5068 KB Output is correct
45 Correct 5 ms 5068 KB Output is correct
46 Correct 6 ms 5068 KB Output is correct
47 Correct 6 ms 5068 KB Output is correct
48 Correct 6 ms 5068 KB Output is correct
49 Correct 6 ms 5068 KB Output is correct
50 Correct 6 ms 5068 KB Output is correct
51 Correct 6 ms 5128 KB Output is correct
52 Correct 6 ms 5068 KB Output is correct
53 Correct 8 ms 5068 KB Output is correct
54 Correct 7 ms 5068 KB Output is correct
55 Execution timed out 2083 ms 8900 KB Time limit exceeded
56 Halted 0 ms 0 KB -

Subtask #6
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 3 ms 4940 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 3 ms 5068 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 3 ms 4940 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 3 ms 4940 KB Output is correct
22 Correct 3 ms 4940 KB Output is correct
23 Correct 3 ms 5024 KB Output is correct
24 Correct 3 ms 4940 KB Output is correct
25 Correct 3 ms 4940 KB Output is correct
26 Correct 3 ms 4940 KB Output is correct
27 Correct 3 ms 4940 KB Output is correct
28 Correct 3 ms 4940 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 6 ms 5104 KB Output is correct
31 Correct 6 ms 5096 KB Output is correct
32 Correct 6 ms 5068 KB Output is correct
33 Correct 5 ms 5068 KB Output is correct
34 Correct 6 ms 5068 KB Output is correct
35 Correct 7 ms 5068 KB Output is correct
36 Correct 6 ms 5068 KB Output is correct
37 Correct 8 ms 5068 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 7 ms 5068 KB Output is correct
40 Correct 6 ms 5068 KB Output is correct
41 Correct 6 ms 5068 KB Output is correct
42 Correct 6 ms 5068 KB Output is correct
43 Correct 5 ms 5068 KB Output is correct
44 Correct 6 ms 5068 KB Output is correct
45 Correct 5 ms 5068 KB Output is correct
46 Correct 6 ms 5068 KB Output is correct
47 Correct 6 ms 5068 KB Output is correct
48 Correct 6 ms 5068 KB Output is correct
49 Correct 6 ms 5068 KB Output is correct
50 Correct 6 ms 5068 KB Output is correct
51 Correct 6 ms 5128 KB Output is correct
52 Correct 6 ms 5068 KB Output is correct
53 Correct 8 ms 5068 KB Output is correct
54 Correct 7 ms 5068 KB Output is correct
55 Correct 1685 ms 12048 KB Output is correct
56 Correct 61 ms 7116 KB Output is correct
57 Execution timed out 2080 ms 16132 KB Time limit exceeded
58 Halted 0 ms 0 KB -