oj.uz

답안 #946396

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
946396 2024-03-14T15:54:31 Z rolandpetrean 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++17
100 / 100
 1054 ms 87304 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
#define int ll

#define endl '\n'
#define pb push_back
using pi = array<int, 2>;

const int N = 1e5 + 5;

int par[N], cnt[N];
set<int> in[N], out[N], inf[N];
set<pi> outf[N];

int ans = 0;
int get_cost(int u) {
  int cost = 0;
  // between
  cost += cnt[u] * (cnt[u] - 1);
  // coming in
  cost += (int)inf[u].size() * cnt[u];
  return cost;
}
int find(int u) {
  if (par[par[u]] != par[u]) par[u] = find(par[u]);
  return par[u];
}
void unite(int u, int v) {
  u = find(u); v = find(v);
  if (u == v) return;
  if (cnt[u] < cnt[v]) swap(u, v);
  
  in[u].erase(v);
  in[v].erase(u);
  out[u].erase(v);
  out[v].erase(u);
  for (int x : in[v]) {
    in[u].insert(x);
    out[x].erase(v);
    out[x].insert(u);
  }
  for (int x : out[v]) {
    out[u].insert(x);
    in[x].erase(v);
    in[x].insert(u);
  }
  for (auto x : outf[v]) {
    //cout << u << " " << v << " || " << x[0] << " " << x[1] << endl;
    if (find(x[0]) == u) {
      inf[u].erase(x[1]);
      continue;
    }
    outf[u].insert(x);
  }
  for (int x : inf[v]) {
    //cout << u << " " << v << " | " << x << endl;
    if (find(x) == u) {
      continue;
    }
    inf[u].insert(x);
  }
  
  cnt[u] += cnt[v];
  par[v] = u;
  for (int x : in[v]) {
    x = find(x);
    if (in[u].count(x) && out[u].count(x)) {
      ans -= get_cost(x);
      unite(u, x);
    }
  }
  for (int x : out[v]) {
    x = find(x);
    if (in[u].count(x) && out[u].count(x)) {
      ans -= get_cost(x);
      unite(u, x);
    }
  }
  in[v].clear();
  out[v].clear();
  inf[v].clear();
  cnt[v] = 0;

  /*cout << inf[u].size() << "!\n";
  for (int y : inf[u]) cout << y << " ";
  cout << endl << endl;*/
}

int32_t main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  
  int n, m;
  cin >> n >> m;
  
  for (int i = 1; i <= n; ++i) {
    par[i] = i;
    cnt[i] = 1;
  }
  
  for (int i = 0; i < m; ++i) {
    int u, v;
    cin >> u >> v;
    int fu = u, fv = v;
    u = find(u); v = find(v);
    if (u == v) {
      cout << ans << endl;
      continue;
    }
    
    ans -= get_cost(u) + get_cost(v);
    inf[v].insert(fu);
    outf[u].insert({fv, fu});
    out[u].insert(v);
    in[v].insert(u);
    if (in[u].count(v) && out[u].count(v)) unite(u, v);
    
    u = find(u); v = find(v);
    ans += get_cost(u);
    if (u != v) ans += get_cost(v);
    
    cout << ans << endl;
  }
}

/*
4 4
2 3
3 4
2 4
4 2
*/

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 19252 KB Output is correct
2 Correct 4 ms 19036 KB Output is correct
3 Correct 5 ms 19260 KB Output is correct
4 Correct 4 ms 19036 KB Output is correct
5 Correct 4 ms 19036 KB Output is correct
6 Correct 5 ms 19264 KB Output is correct
7 Correct 5 ms 19292 KB Output is correct
8 Correct 5 ms 19288 KB Output is correct
9 Correct 6 ms 19292 KB Output is correct
10 Correct 5 ms 19032 KB Output is correct
11 Correct 5 ms 19036 KB Output is correct
12 Correct 5 ms 19052 KB Output is correct
13 Correct 4 ms 19036 KB Output is correct
14 Correct 4 ms 19036 KB Output is correct
15 Correct 4 ms 19036 KB Output is correct
16 Correct 4 ms 19268 KB Output is correct
17 Correct 5 ms 19036 KB Output is correct
18 Correct 4 ms 19036 KB Output is correct
19 Correct 6 ms 19036 KB Output is correct
20 Correct 5 ms 19288 KB Output is correct
21 Correct 5 ms 19292 KB Output is correct
22 Correct 4 ms 19036 KB Output is correct
23 Correct 5 ms 19292 KB Output is correct
24 Correct 4 ms 19292 KB Output is correct
25 Correct 5 ms 19264 KB Output is correct
26 Correct 5 ms 19128 KB Output is correct
27 Correct 4 ms 19032 KB Output is correct
28 Correct 4 ms 19036 KB Output is correct
29 Correct 5 ms 19036 KB Output is correct
30 Correct 4 ms 19036 KB Output is correct
31 Correct 4 ms 19036 KB Output is correct
32 Correct 4 ms 19036 KB Output is correct
33 Correct 5 ms 19292 KB Output is correct

Subtask #2
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 19252 KB Output is correct
2 Correct 4 ms 19036 KB Output is correct
3 Correct 5 ms 19260 KB Output is correct
4 Correct 4 ms 19036 KB Output is correct
5 Correct 4 ms 19036 KB Output is correct
6 Correct 5 ms 19264 KB Output is correct
7 Correct 5 ms 19292 KB Output is correct
8 Correct 5 ms 19288 KB Output is correct
9 Correct 6 ms 19292 KB Output is correct
10 Correct 5 ms 19032 KB Output is correct
11 Correct 5 ms 19036 KB Output is correct
12 Correct 5 ms 19052 KB Output is correct
13 Correct 4 ms 19036 KB Output is correct
14 Correct 4 ms 19036 KB Output is correct
15 Correct 4 ms 19036 KB Output is correct
16 Correct 4 ms 19268 KB Output is correct
17 Correct 5 ms 19036 KB Output is correct
18 Correct 4 ms 19036 KB Output is correct
19 Correct 6 ms 19036 KB Output is correct
20 Correct 5 ms 19288 KB Output is correct
21 Correct 5 ms 19292 KB Output is correct
22 Correct 4 ms 19036 KB Output is correct
23 Correct 5 ms 19292 KB Output is correct
24 Correct 4 ms 19292 KB Output is correct
25 Correct 5 ms 19264 KB Output is correct
26 Correct 5 ms 19128 KB Output is correct
27 Correct 4 ms 19032 KB Output is correct
28 Correct 4 ms 19036 KB Output is correct
29 Correct 5 ms 19036 KB Output is correct
30 Correct 4 ms 19036 KB Output is correct
31 Correct 4 ms 19036 KB Output is correct
32 Correct 4 ms 19036 KB Output is correct
33 Correct 5 ms 19292 KB Output is correct
34 Correct 8 ms 19292 KB Output is correct
35 Correct 68 ms 25872 KB Output is correct
36 Correct 88 ms 29972 KB Output is correct
37 Correct 86 ms 30036 KB Output is correct
38 Correct 89 ms 29428 KB Output is correct
39 Correct 6 ms 19548 KB Output is correct
40 Correct 8 ms 20060 KB Output is correct
41 Correct 7 ms 19804 KB Output is correct
42 Correct 6 ms 19548 KB Output is correct
43 Correct 8 ms 19548 KB Output is correct
44 Correct 7 ms 19548 KB Output is correct
45 Correct 6 ms 19548 KB Output is correct
46 Correct 6 ms 19548 KB Output is correct
47 Correct 8 ms 19776 KB Output is correct
48 Correct 7 ms 19800 KB Output is correct
49 Correct 14 ms 20828 KB Output is correct
50 Correct 89 ms 30104 KB Output is correct
51 Correct 11 ms 20060 KB Output is correct
52 Correct 74 ms 27620 KB Output is correct
53 Correct 15 ms 20796 KB Output is correct
54 Correct 81 ms 28724 KB Output is correct
55 Correct 9 ms 20060 KB Output is correct
56 Correct 10 ms 20060 KB Output is correct
57 Correct 11 ms 20572 KB Output is correct
58 Correct 10 ms 20572 KB Output is correct
59 Correct 7 ms 20060 KB Output is correct
60 Correct 58 ms 24916 KB Output is correct
61 Correct 9 ms 19804 KB Output is correct
62 Correct 96 ms 29232 KB Output is correct

Subtask #3
83.0 / 83.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 19252 KB Output is correct
2 Correct 4 ms 19036 KB Output is correct
3 Correct 5 ms 19260 KB Output is correct
4 Correct 4 ms 19036 KB Output is correct
5 Correct 4 ms 19036 KB Output is correct
6 Correct 5 ms 19264 KB Output is correct
7 Correct 5 ms 19292 KB Output is correct
8 Correct 5 ms 19288 KB Output is correct
9 Correct 6 ms 19292 KB Output is correct
10 Correct 5 ms 19032 KB Output is correct
11 Correct 5 ms 19036 KB Output is correct
12 Correct 5 ms 19052 KB Output is correct
13 Correct 4 ms 19036 KB Output is correct
14 Correct 4 ms 19036 KB Output is correct
15 Correct 4 ms 19036 KB Output is correct
16 Correct 4 ms 19268 KB Output is correct
17 Correct 5 ms 19036 KB Output is correct
18 Correct 4 ms 19036 KB Output is correct
19 Correct 6 ms 19036 KB Output is correct
20 Correct 5 ms 19288 KB Output is correct
21 Correct 5 ms 19292 KB Output is correct
22 Correct 4 ms 19036 KB Output is correct
23 Correct 5 ms 19292 KB Output is correct
24 Correct 4 ms 19292 KB Output is correct
25 Correct 5 ms 19264 KB Output is correct
26 Correct 5 ms 19128 KB Output is correct
27 Correct 4 ms 19032 KB Output is correct
28 Correct 4 ms 19036 KB Output is correct
29 Correct 5 ms 19036 KB Output is correct
30 Correct 4 ms 19036 KB Output is correct
31 Correct 4 ms 19036 KB Output is correct
32 Correct 4 ms 19036 KB Output is correct
33 Correct 5 ms 19292 KB Output is correct
34 Correct 8 ms 19292 KB Output is correct
35 Correct 68 ms 25872 KB Output is correct
36 Correct 88 ms 29972 KB Output is correct
37 Correct 86 ms 30036 KB Output is correct
38 Correct 89 ms 29428 KB Output is correct
39 Correct 6 ms 19548 KB Output is correct
40 Correct 8 ms 20060 KB Output is correct
41 Correct 7 ms 19804 KB Output is correct
42 Correct 6 ms 19548 KB Output is correct
43 Correct 8 ms 19548 KB Output is correct
44 Correct 7 ms 19548 KB Output is correct
45 Correct 6 ms 19548 KB Output is correct
46 Correct 6 ms 19548 KB Output is correct
47 Correct 8 ms 19776 KB Output is correct
48 Correct 7 ms 19800 KB Output is correct
49 Correct 14 ms 20828 KB Output is correct
50 Correct 89 ms 30104 KB Output is correct
51 Correct 11 ms 20060 KB Output is correct
52 Correct 74 ms 27620 KB Output is correct
53 Correct 15 ms 20796 KB Output is correct
54 Correct 81 ms 28724 KB Output is correct
55 Correct 9 ms 20060 KB Output is correct
56 Correct 10 ms 20060 KB Output is correct
57 Correct 11 ms 20572 KB Output is correct
58 Correct 10 ms 20572 KB Output is correct
59 Correct 7 ms 20060 KB Output is correct
60 Correct 58 ms 24916 KB Output is correct
61 Correct 9 ms 19804 KB Output is correct
62 Correct 96 ms 29232 KB Output is correct
63 Correct 563 ms 87124 KB Output is correct
64 Correct 575 ms 87284 KB Output is correct
65 Correct 574 ms 87304 KB Output is correct
66 Correct 189 ms 37744 KB Output is correct
67 Correct 399 ms 72228 KB Output is correct
68 Correct 173 ms 37752 KB Output is correct
69 Correct 367 ms 41304 KB Output is correct
70 Correct 172 ms 37516 KB Output is correct
71 Correct 179 ms 37880 KB Output is correct
72 Correct 410 ms 51352 KB Output is correct
73 Correct 422 ms 53616 KB Output is correct
74 Correct 1054 ms 79220 KB Output is correct
75 Correct 534 ms 49380 KB Output is correct
76 Correct 744 ms 63236 KB Output is correct
77 Correct 727 ms 63380 KB Output is correct
78 Correct 175 ms 40532 KB Output is correct
79 Correct 340 ms 46716 KB Output is correct
80 Correct 191 ms 42072 KB Output is correct
81 Correct 336 ms 47700 KB Output is correct
82 Correct 676 ms 66020 KB Output is correct
83 Correct 764 ms 66016 KB Output is correct
84 Correct 606 ms 87076 KB Output is correct
85 Correct 603 ms 87224 KB Output is correct
86 Correct 287 ms 81632 KB Output is correct
87 Correct 280 ms 83852 KB Output is correct
88 Correct 441 ms 52332 KB Output is correct
89 Correct 741 ms 59220 KB Output is correct