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답안 #1060316

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1060316 2024-08-15T12:56:39 Z nima_aryan 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++17
100 / 100
 390 ms 49744 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);
queue<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(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(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();

  S[B].clear();
  T[B].clear();
  G[B].clear();
}

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.front();
        to_merge.pop();
        unite(X, Y);
      }
    }

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

  return 0;
}

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 14940 KB Output is correct
2 Correct 4 ms 14940 KB Output is correct
3 Correct 3 ms 14940 KB Output is correct
4 Correct 4 ms 14940 KB Output is correct
5 Correct 3 ms 14940 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 4 ms 14828 KB Output is correct
8 Correct 5 ms 14940 KB Output is correct
9 Correct 4 ms 14940 KB Output is correct
10 Correct 3 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 14904 KB Output is correct
14 Correct 4 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 4 ms 14940 KB Output is correct
17 Correct 4 ms 14940 KB Output is correct
18 Correct 6 ms 14940 KB Output is correct
19 Correct 4 ms 14940 KB Output is correct
20 Correct 5 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14936 KB Output is correct
23 Correct 4 ms 14940 KB Output is correct
24 Correct 4 ms 14940 KB Output is correct
25 Correct 4 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 14724 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 14936 KB Output is correct
32 Correct 4 ms 14880 KB Output is correct
33 Correct 5 ms 14808 KB Output is correct

Subtask #2
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 14940 KB Output is correct
2 Correct 4 ms 14940 KB Output is correct
3 Correct 3 ms 14940 KB Output is correct
4 Correct 4 ms 14940 KB Output is correct
5 Correct 3 ms 14940 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 4 ms 14828 KB Output is correct
8 Correct 5 ms 14940 KB Output is correct
9 Correct 4 ms 14940 KB Output is correct
10 Correct 3 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 14904 KB Output is correct
14 Correct 4 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 4 ms 14940 KB Output is correct
17 Correct 4 ms 14940 KB Output is correct
18 Correct 6 ms 14940 KB Output is correct
19 Correct 4 ms 14940 KB Output is correct
20 Correct 5 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14936 KB Output is correct
23 Correct 4 ms 14940 KB Output is correct
24 Correct 4 ms 14940 KB Output is correct
25 Correct 4 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 14724 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 14936 KB Output is correct
32 Correct 4 ms 14880 KB Output is correct
33 Correct 5 ms 14808 KB Output is correct
34 Correct 5 ms 14940 KB Output is correct
35 Correct 47 ms 17768 KB Output is correct
36 Correct 61 ms 19548 KB Output is correct
37 Correct 61 ms 19536 KB Output is correct
38 Correct 60 ms 19280 KB Output is correct
39 Correct 7 ms 14940 KB Output is correct
40 Correct 6 ms 14940 KB Output is correct
41 Correct 5 ms 14940 KB Output is correct
42 Correct 5 ms 14936 KB Output is correct
43 Correct 6 ms 14940 KB Output is correct
44 Correct 5 ms 15124 KB Output is correct
45 Correct 6 ms 14940 KB Output is correct
46 Correct 5 ms 14940 KB Output is correct
47 Correct 5 ms 14936 KB Output is correct
48 Correct 6 ms 14936 KB Output is correct
49 Correct 9 ms 15452 KB Output is correct
50 Correct 61 ms 19576 KB Output is correct
51 Correct 8 ms 15448 KB Output is correct
52 Correct 54 ms 18668 KB Output is correct
53 Correct 9 ms 15448 KB Output is correct
54 Correct 56 ms 19120 KB Output is correct
55 Correct 6 ms 15196 KB Output is correct
56 Correct 6 ms 15196 KB Output is correct
57 Correct 6 ms 15196 KB Output is correct
58 Correct 7 ms 15192 KB Output is correct
59 Correct 5 ms 14940 KB Output is correct
60 Correct 46 ms 17348 KB Output is correct
61 Correct 6 ms 15192 KB Output is correct
62 Correct 61 ms 19280 KB Output is correct

Subtask #3
83.0 / 83.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 14940 KB Output is correct
2 Correct 4 ms 14940 KB Output is correct
3 Correct 3 ms 14940 KB Output is correct
4 Correct 4 ms 14940 KB Output is correct
5 Correct 3 ms 14940 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 4 ms 14828 KB Output is correct
8 Correct 5 ms 14940 KB Output is correct
9 Correct 4 ms 14940 KB Output is correct
10 Correct 3 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 14904 KB Output is correct
14 Correct 4 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 4 ms 14940 KB Output is correct
17 Correct 4 ms 14940 KB Output is correct
18 Correct 6 ms 14940 KB Output is correct
19 Correct 4 ms 14940 KB Output is correct
20 Correct 5 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14936 KB Output is correct
23 Correct 4 ms 14940 KB Output is correct
24 Correct 4 ms 14940 KB Output is correct
25 Correct 4 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 14724 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 14936 KB Output is correct
32 Correct 4 ms 14880 KB Output is correct
33 Correct 5 ms 14808 KB Output is correct
34 Correct 5 ms 14940 KB Output is correct
35 Correct 47 ms 17768 KB Output is correct
36 Correct 61 ms 19548 KB Output is correct
37 Correct 61 ms 19536 KB Output is correct
38 Correct 60 ms 19280 KB Output is correct
39 Correct 7 ms 14940 KB Output is correct
40 Correct 6 ms 14940 KB Output is correct
41 Correct 5 ms 14940 KB Output is correct
42 Correct 5 ms 14936 KB Output is correct
43 Correct 6 ms 14940 KB Output is correct
44 Correct 5 ms 15124 KB Output is correct
45 Correct 6 ms 14940 KB Output is correct
46 Correct 5 ms 14940 KB Output is correct
47 Correct 5 ms 14936 KB Output is correct
48 Correct 6 ms 14936 KB Output is correct
49 Correct 9 ms 15452 KB Output is correct
50 Correct 61 ms 19576 KB Output is correct
51 Correct 8 ms 15448 KB Output is correct
52 Correct 54 ms 18668 KB Output is correct
53 Correct 9 ms 15448 KB Output is correct
54 Correct 56 ms 19120 KB Output is correct
55 Correct 6 ms 15196 KB Output is correct
56 Correct 6 ms 15196 KB Output is correct
57 Correct 6 ms 15196 KB Output is correct
58 Correct 7 ms 15192 KB Output is correct
59 Correct 5 ms 14940 KB Output is correct
60 Correct 46 ms 17348 KB Output is correct
61 Correct 6 ms 15192 KB Output is correct
62 Correct 61 ms 19280 KB Output is correct
63 Correct 187 ms 49744 KB Output is correct
64 Correct 241 ms 49744 KB Output is correct
65 Correct 173 ms 49668 KB Output is correct
66 Correct 83 ms 21620 KB Output is correct
67 Correct 165 ms 25668 KB Output is correct
68 Correct 98 ms 21504 KB Output is correct
69 Correct 173 ms 26196 KB Output is correct
70 Correct 92 ms 21588 KB Output is correct
71 Correct 104 ms 21588 KB Output is correct
72 Correct 202 ms 25680 KB Output is correct
73 Correct 176 ms 25680 KB Output is correct
74 Correct 356 ms 32740 KB Output is correct
75 Correct 281 ms 29676 KB Output is correct
76 Correct 341 ms 32336 KB Output is correct
77 Correct 343 ms 32404 KB Output is correct
78 Correct 119 ms 25680 KB Output is correct
79 Correct 233 ms 27216 KB Output is correct
80 Correct 150 ms 25680 KB Output is correct
81 Correct 171 ms 27176 KB Output is correct
82 Correct 319 ms 39764 KB Output is correct
83 Correct 390 ms 39760 KB Output is correct
84 Correct 268 ms 39500 KB Output is correct
85 Correct 251 ms 39572 KB Output is correct
86 Correct 156 ms 22408 KB Output is correct
87 Correct 162 ms 23640 KB Output is correct
88 Correct 162 ms 25680 KB Output is correct
89 Correct 276 ms 32344 KB Output is correct