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답안 #1060328

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1060328 2024-08-15T13:00:03 Z nima_aryan 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++17
100 / 100
 408 ms 65148 KB 
/**
 *    author:  NimaAryan
 *    created: 2024-08-15 13:30:23
**/
#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "algo/debug.h"
#endif

using i64 = long long;

constexpr int N = 1E5;

i64 ans = 0;
vector<set<int>> S(N);  // all vertices in A
vector<set<int>> T(N);  // {x->a | a \in A}
vector<set<int>> G(N);  // {B | a \in A, a->B}
vector<int> par(N, -1);
vector<pair<int, int>> to_merge;

int find(int x) {
  return par[x] == -1 ? x : par[x] = find(par[x]);
}

int size(int A) {
  return S[A].size() + T[A].size() + G[A].size();
}

void unite(int A, int B) {
  A = find(A), B = find(B);

  if (A == B) {
    return;
  }

  if (size(A) < size(B)) {
    swap(A, B);
  }

  ans -= 1LL * S[A].size() * (S[A].size() - 1);
  ans -= 1LL * S[A].size() * T[A].size();
  ans -= 1LL * S[B].size() * (S[B].size() - 1);
  ans -= 1LL * S[B].size() * T[B].size();

  G[A].erase(B);
  for (int X : G[B]) {
    if (X == A) {
      continue;
    }
    if (G[X].count(A)) {
      to_merge.emplace_back(A, X);
    }
    G[A].insert(X);
  }
  for (int x : T[B]) {
    int X = find(x);
    if (X == A) {
      continue;
    }
    T[A].insert(x);
    if (G[A].count(X)) {
      to_merge.emplace_back(A, X);
    }
    G[X].erase(B);
    G[X].insert(A);
  }
  for (int b : S[B]) {
    T[A].erase(b);
    S[A].insert(b);
  }
  par[B] = A;

  ans += 1LL * S[A].size() * (S[A].size() - 1);
  ans += 1LL * S[A].size() * T[A].size();
}

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

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

  for (int x = 0; x < n; ++x) {
    S[x] = {x};
  }

  while (m--) {
    int a, b;
    cin >> a >> b;
    --a, --b;

    int A = find(a), B = find(b);
    if (A != B) {
      if (G[B].count(A)) {
        unite(A, B);
      } else if (!T[B].count(a)) {
        ans += S[B].size();
        T[B].insert(a);
        G[A].insert(B);
      }
      while (!to_merge.empty()) {
        auto [X, Y] = to_merge.back();
        to_merge.pop_back();
        unite(X, Y);
      }
    }

    cout << ans << "\n";
  }

  return 0;
}

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 14936 KB Output is correct
2 Correct 3 ms 14940 KB Output is correct
3 Correct 4 ms 14884 KB Output is correct
4 Correct 4 ms 14936 KB Output is correct
5 Correct 4 ms 14752 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 4 ms 14936 KB Output is correct
9 Correct 4 ms 14936 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 4 ms 14940 KB Output is correct
12 Correct 4 ms 14940 KB Output is correct
13 Correct 4 ms 14940 KB Output is correct
14 Correct 4 ms 14940 KB Output is correct
15 Correct 4 ms 14936 KB Output is correct
16 Correct 4 ms 14940 KB Output is correct
17 Correct 4 ms 14936 KB Output is correct
18 Correct 4 ms 14940 KB Output is correct
19 Correct 4 ms 14736 KB Output is correct
20 Correct 4 ms 14716 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14768 KB Output is correct
23 Correct 4 ms 14852 KB Output is correct
24 Correct 4 ms 14940 KB Output is correct
25 Correct 5 ms 14940 KB Output is correct
26 Correct 4 ms 14940 KB Output is correct
27 Correct 4 ms 14940 KB Output is correct
28 Correct 4 ms 14940 KB Output is correct
29 Correct 4 ms 14940 KB Output is correct
30 Correct 4 ms 14940 KB Output is correct
31 Correct 4 ms 14940 KB Output is correct
32 Correct 4 ms 14940 KB Output is correct
33 Correct 4 ms 14940 KB Output is correct

Subtask #2
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 14936 KB Output is correct
2 Correct 3 ms 14940 KB Output is correct
3 Correct 4 ms 14884 KB Output is correct
4 Correct 4 ms 14936 KB Output is correct
5 Correct 4 ms 14752 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 4 ms 14936 KB Output is correct
9 Correct 4 ms 14936 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 4 ms 14940 KB Output is correct
12 Correct 4 ms 14940 KB Output is correct
13 Correct 4 ms 14940 KB Output is correct
14 Correct 4 ms 14940 KB Output is correct
15 Correct 4 ms 14936 KB Output is correct
16 Correct 4 ms 14940 KB Output is correct
17 Correct 4 ms 14936 KB Output is correct
18 Correct 4 ms 14940 KB Output is correct
19 Correct 4 ms 14736 KB Output is correct
20 Correct 4 ms 14716 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14768 KB Output is correct
23 Correct 4 ms 14852 KB Output is correct
24 Correct 4 ms 14940 KB Output is correct
25 Correct 5 ms 14940 KB Output is correct
26 Correct 4 ms 14940 KB Output is correct
27 Correct 4 ms 14940 KB Output is correct
28 Correct 4 ms 14940 KB Output is correct
29 Correct 4 ms 14940 KB Output is correct
30 Correct 4 ms 14940 KB Output is correct
31 Correct 4 ms 14940 KB Output is correct
32 Correct 4 ms 14940 KB Output is correct
33 Correct 4 ms 14940 KB Output is correct
34 Correct 5 ms 14936 KB Output is correct
35 Correct 46 ms 18004 KB Output is correct
36 Correct 59 ms 19948 KB Output is correct
37 Correct 63 ms 19940 KB Output is correct
38 Correct 58 ms 19540 KB Output is correct
39 Correct 5 ms 15196 KB Output is correct
40 Correct 6 ms 15452 KB Output is correct
41 Correct 7 ms 15448 KB Output is correct
42 Correct 5 ms 15196 KB Output is correct
43 Correct 5 ms 15196 KB Output is correct
44 Correct 9 ms 15040 KB Output is correct
45 Correct 6 ms 15196 KB Output is correct
46 Correct 5 ms 15220 KB Output is correct
47 Correct 6 ms 15196 KB Output is correct
48 Correct 6 ms 15352 KB Output is correct
49 Correct 10 ms 15708 KB Output is correct
50 Correct 62 ms 20120 KB Output is correct
51 Correct 7 ms 15452 KB Output is correct
52 Correct 53 ms 18828 KB Output is correct
53 Correct 8 ms 15708 KB Output is correct
54 Correct 57 ms 19336 KB Output is correct
55 Correct 7 ms 15452 KB Output is correct
56 Correct 7 ms 15468 KB Output is correct
57 Correct 6 ms 15448 KB Output is correct
58 Correct 10 ms 15704 KB Output is correct
59 Correct 6 ms 15452 KB Output is correct
60 Correct 61 ms 17944 KB Output is correct
61 Correct 7 ms 15448 KB Output is correct
62 Correct 56 ms 19540 KB Output is correct

Subtask #3
83.0 / 83.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 14936 KB Output is correct
2 Correct 3 ms 14940 KB Output is correct
3 Correct 4 ms 14884 KB Output is correct
4 Correct 4 ms 14936 KB Output is correct
5 Correct 4 ms 14752 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 4 ms 14936 KB Output is correct
9 Correct 4 ms 14936 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 4 ms 14940 KB Output is correct
12 Correct 4 ms 14940 KB Output is correct
13 Correct 4 ms 14940 KB Output is correct
14 Correct 4 ms 14940 KB Output is correct
15 Correct 4 ms 14936 KB Output is correct
16 Correct 4 ms 14940 KB Output is correct
17 Correct 4 ms 14936 KB Output is correct
18 Correct 4 ms 14940 KB Output is correct
19 Correct 4 ms 14736 KB Output is correct
20 Correct 4 ms 14716 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14768 KB Output is correct
23 Correct 4 ms 14852 KB Output is correct
24 Correct 4 ms 14940 KB Output is correct
25 Correct 5 ms 14940 KB Output is correct
26 Correct 4 ms 14940 KB Output is correct
27 Correct 4 ms 14940 KB Output is correct
28 Correct 4 ms 14940 KB Output is correct
29 Correct 4 ms 14940 KB Output is correct
30 Correct 4 ms 14940 KB Output is correct
31 Correct 4 ms 14940 KB Output is correct
32 Correct 4 ms 14940 KB Output is correct
33 Correct 4 ms 14940 KB Output is correct
34 Correct 5 ms 14936 KB Output is correct
35 Correct 46 ms 18004 KB Output is correct
36 Correct 59 ms 19948 KB Output is correct
37 Correct 63 ms 19940 KB Output is correct
38 Correct 58 ms 19540 KB Output is correct
39 Correct 5 ms 15196 KB Output is correct
40 Correct 6 ms 15452 KB Output is correct
41 Correct 7 ms 15448 KB Output is correct
42 Correct 5 ms 15196 KB Output is correct
43 Correct 5 ms 15196 KB Output is correct
44 Correct 9 ms 15040 KB Output is correct
45 Correct 6 ms 15196 KB Output is correct
46 Correct 5 ms 15220 KB Output is correct
47 Correct 6 ms 15196 KB Output is correct
48 Correct 6 ms 15352 KB Output is correct
49 Correct 10 ms 15708 KB Output is correct
50 Correct 62 ms 20120 KB Output is correct
51 Correct 7 ms 15452 KB Output is correct
52 Correct 53 ms 18828 KB Output is correct
53 Correct 8 ms 15708 KB Output is correct
54 Correct 57 ms 19336 KB Output is correct
55 Correct 7 ms 15452 KB Output is correct
56 Correct 7 ms 15468 KB Output is correct
57 Correct 6 ms 15448 KB Output is correct
58 Correct 10 ms 15704 KB Output is correct
59 Correct 6 ms 15452 KB Output is correct
60 Correct 61 ms 17944 KB Output is correct
61 Correct 7 ms 15448 KB Output is correct
62 Correct 56 ms 19540 KB Output is correct
63 Correct 227 ms 49748 KB Output is correct
64 Correct 201 ms 49744 KB Output is correct
65 Correct 192 ms 49744 KB Output is correct
66 Correct 120 ms 31068 KB Output is correct
67 Correct 223 ms 56492 KB Output is correct
68 Correct 108 ms 31060 KB Output is correct
69 Correct 195 ms 30992 KB Output is correct
70 Correct 107 ms 31060 KB Output is correct
71 Correct 98 ms 30960 KB Output is correct
72 Correct 197 ms 40784 KB Output is correct
73 Correct 183 ms 42324 KB Output is correct
74 Correct 408 ms 56044 KB Output is correct
75 Correct 259 ms 35924 KB Output is correct
76 Correct 300 ms 45024 KB Output is correct
77 Correct 306 ms 45144 KB Output is correct
78 Correct 105 ms 32788 KB Output is correct
79 Correct 192 ms 37188 KB Output is correct
80 Correct 115 ms 32848 KB Output is correct
81 Correct 192 ms 35408 KB Output is correct
82 Correct 294 ms 44408 KB Output is correct
83 Correct 253 ms 44372 KB Output is correct
84 Correct 260 ms 44368 KB Output is correct
85 Correct 253 ms 44368 KB Output is correct
86 Correct 184 ms 63824 KB Output is correct
87 Correct 212 ms 65148 KB Output is correct
88 Correct 197 ms 41512 KB Output is correct
89 Correct 396 ms 44140 KB Output is correct