oj.uz

Submission #1060320

# Submission time Handle Problem Language Result Execution time Memory
1060320 2024-08-15T12:57:15 Z nima_aryan Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
 374 ms 64972 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();
}

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

# Verdict Execution time Memory Grader output
1 Correct 4 ms 14940 KB Output is correct
2 Correct 3 ms 14916 KB Output is correct
3 Correct 4 ms 14940 KB Output is correct
4 Correct 3 ms 14940 KB Output is correct
5 Correct 3 ms 14940 KB Output is correct
6 Correct 3 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 4 ms 14976 KB Output is correct
9 Correct 4 ms 14940 KB Output is correct
10 Correct 4 ms 14868 KB Output is correct
11 Correct 4 ms 14940 KB Output is correct
12 Correct 4 ms 14916 KB Output is correct
13 Correct 4 ms 14940 KB Output is correct
14 Correct 4 ms 14940 KB Output is correct
15 Correct 3 ms 14888 KB Output is correct
16 Correct 4 ms 14940 KB Output is correct
17 Correct 4 ms 14868 KB Output is correct
18 Correct 4 ms 14940 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 4 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14940 KB Output is correct
23 Correct 6 ms 14896 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 3 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 14768 KB Output is correct
31 Correct 5 ms 14936 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

# Verdict Execution time Memory Grader output
1 Correct 4 ms 14940 KB Output is correct
2 Correct 3 ms 14916 KB Output is correct
3 Correct 4 ms 14940 KB Output is correct
4 Correct 3 ms 14940 KB Output is correct
5 Correct 3 ms 14940 KB Output is correct
6 Correct 3 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 4 ms 14976 KB Output is correct
9 Correct 4 ms 14940 KB Output is correct
10 Correct 4 ms 14868 KB Output is correct
11 Correct 4 ms 14940 KB Output is correct
12 Correct 4 ms 14916 KB Output is correct
13 Correct 4 ms 14940 KB Output is correct
14 Correct 4 ms 14940 KB Output is correct
15 Correct 3 ms 14888 KB Output is correct
16 Correct 4 ms 14940 KB Output is correct
17 Correct 4 ms 14868 KB Output is correct
18 Correct 4 ms 14940 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 4 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14940 KB Output is correct
23 Correct 6 ms 14896 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 3 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 14768 KB Output is correct
31 Correct 5 ms 14936 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 14940 KB Output is correct
35 Correct 54 ms 18056 KB Output is correct
36 Correct 59 ms 19796 KB Output is correct
37 Correct 62 ms 19792 KB Output is correct
38 Correct 58 ms 19540 KB Output is correct
39 Correct 7 ms 15196 KB Output is correct
40 Correct 6 ms 15476 KB Output is correct
41 Correct 6 ms 15448 KB Output is correct
42 Correct 5 ms 15196 KB Output is correct
43 Correct 5 ms 15264 KB Output is correct
44 Correct 5 ms 15196 KB Output is correct
45 Correct 7 ms 15196 KB Output is correct
46 Correct 5 ms 15196 KB Output is correct
47 Correct 6 ms 15196 KB Output is correct
48 Correct 6 ms 15196 KB Output is correct
49 Correct 9 ms 15708 KB Output is correct
50 Correct 60 ms 19788 KB Output is correct
51 Correct 7 ms 15452 KB Output is correct
52 Correct 55 ms 18768 KB Output is correct
53 Correct 9 ms 15708 KB Output is correct
54 Correct 56 ms 19124 KB Output is correct
55 Correct 7 ms 15452 KB Output is correct
56 Correct 6 ms 15436 KB Output is correct
57 Correct 6 ms 15452 KB Output is correct
58 Correct 6 ms 15452 KB Output is correct
59 Correct 6 ms 15496 KB Output is correct
60 Correct 47 ms 17852 KB Output is correct
61 Correct 6 ms 15196 KB Output is correct
62 Correct 57 ms 19356 KB Output is correct

Subtask #3
83.0 / 83.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 14940 KB Output is correct
2 Correct 3 ms 14916 KB Output is correct
3 Correct 4 ms 14940 KB Output is correct
4 Correct 3 ms 14940 KB Output is correct
5 Correct 3 ms 14940 KB Output is correct
6 Correct 3 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 4 ms 14976 KB Output is correct
9 Correct 4 ms 14940 KB Output is correct
10 Correct 4 ms 14868 KB Output is correct
11 Correct 4 ms 14940 KB Output is correct
12 Correct 4 ms 14916 KB Output is correct
13 Correct 4 ms 14940 KB Output is correct
14 Correct 4 ms 14940 KB Output is correct
15 Correct 3 ms 14888 KB Output is correct
16 Correct 4 ms 14940 KB Output is correct
17 Correct 4 ms 14868 KB Output is correct
18 Correct 4 ms 14940 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 4 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14940 KB Output is correct
23 Correct 6 ms 14896 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 3 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 14768 KB Output is correct
31 Correct 5 ms 14936 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 14940 KB Output is correct
35 Correct 54 ms 18056 KB Output is correct
36 Correct 59 ms 19796 KB Output is correct
37 Correct 62 ms 19792 KB Output is correct
38 Correct 58 ms 19540 KB Output is correct
39 Correct 7 ms 15196 KB Output is correct
40 Correct 6 ms 15476 KB Output is correct
41 Correct 6 ms 15448 KB Output is correct
42 Correct 5 ms 15196 KB Output is correct
43 Correct 5 ms 15264 KB Output is correct
44 Correct 5 ms 15196 KB Output is correct
45 Correct 7 ms 15196 KB Output is correct
46 Correct 5 ms 15196 KB Output is correct
47 Correct 6 ms 15196 KB Output is correct
48 Correct 6 ms 15196 KB Output is correct
49 Correct 9 ms 15708 KB Output is correct
50 Correct 60 ms 19788 KB Output is correct
51 Correct 7 ms 15452 KB Output is correct
52 Correct 55 ms 18768 KB Output is correct
53 Correct 9 ms 15708 KB Output is correct
54 Correct 56 ms 19124 KB Output is correct
55 Correct 7 ms 15452 KB Output is correct
56 Correct 6 ms 15436 KB Output is correct
57 Correct 6 ms 15452 KB Output is correct
58 Correct 6 ms 15452 KB Output is correct
59 Correct 6 ms 15496 KB Output is correct
60 Correct 47 ms 17852 KB Output is correct
61 Correct 6 ms 15196 KB Output is correct
62 Correct 57 ms 19356 KB Output is correct
63 Correct 202 ms 49748 KB Output is correct
64 Correct 224 ms 49616 KB Output is correct
65 Correct 217 ms 49588 KB Output is correct
66 Correct 104 ms 30964 KB Output is correct
67 Correct 181 ms 56656 KB Output is correct
68 Correct 93 ms 31060 KB Output is correct
69 Correct 184 ms 30804 KB Output is correct
70 Correct 98 ms 30944 KB Output is correct
71 Correct 112 ms 31060 KB Output is correct
72 Correct 185 ms 40532 KB Output is correct
73 Correct 195 ms 42316 KB Output is correct
74 Correct 374 ms 55888 KB Output is correct
75 Correct 254 ms 35920 KB Output is correct
76 Correct 326 ms 45108 KB Output is correct
77 Correct 295 ms 45256 KB Output is correct
78 Correct 108 ms 32888 KB Output is correct
79 Correct 202 ms 36944 KB Output is correct
80 Correct 129 ms 32892 KB Output is correct
81 Correct 178 ms 35412 KB Output is correct
82 Correct 308 ms 44624 KB Output is correct
83 Correct 283 ms 44628 KB Output is correct
84 Correct 264 ms 44568 KB Output is correct
85 Correct 262 ms 44372 KB Output is correct
86 Correct 166 ms 63828 KB Output is correct
87 Correct 213 ms 64972 KB Output is correct
88 Correct 175 ms 41420 KB Output is correct
89 Correct 278 ms 44028 KB Output is correct