Submission #1036461

# Submission time Handle Problem Language Result Execution time Memory
1036461 2024-07-27T11:50:25 Z juicy Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
457 ms 61264 KB
#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif

const int N = 1e5 + 5;

int n, m;
int lab[N];
set<int> s[N];
set<array<int, 2>> t[N];
queue<array<int, 2>> q;

int size(int u) {
  return -lab[u];
}

int get(int u) {
  return lab[u] < 0 ? u : lab[u] = get(lab[u]);
}

bool check(set<array<int, 2>> &st, int x) {
  auto it = st.lower_bound(array<int, 2>{x});
  return it != st.end() && (*it)[0] == x;
} 

int count(set<array<int, 2>> &st, int x) {
  auto it = st.lower_bound(array<int, 2>{x});
  int cnt = 0;
  for (; it != st.end() && (*it)[0] == x; it = st.erase(it)) {
    ++cnt;
  }
  return cnt;
}

long long res;

void mrg(int u, int v) {
  u = get(u), v = get(v);
  if (u == v) {
    return;
  }
  int cnt = count(t[u], v);
  res -= (long long) cnt * size(u);
  cnt = count(t[v], u);
  res -= (long long) cnt * size(v);
  res += (long long) 2 * size(u) * size(v);
  if (s[u].size() + t[u].size() < s[v].size() + t[v].size()) {
    swap(u, v);
  }
  for (int x : s[v]) {
    if (check(t[u], x)) {
      q.push({x, u});
    }
  }
  for (auto x : t[v]) {
    if (s[u].find(x[0]) != s[u].end()) {
      q.push({x[0], u});
    }
  }
  for (int x : s[v]) {
    s[u].insert(x);
    auto it = t[x].lower_bound(array<int, 2>{v});
    for (; it != t[x].end() && (*it)[0] == v; it = t[x].erase(it)) {
      t[x].insert({u, (*it)[1]});
    }
  }
  cnt = t[u].size();
  for (auto [x, y] : t[v]) {
    if (t[u].insert({x, y}).second) {
      res += size(u);
    } else {
      --cnt;
    }
    s[x].erase(v);
    s[x].insert(u);
  }
  res += (long long) cnt * size(v);
  lab[u] += lab[v];
  lab[v] = u;
}

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

  cin >> n >> m;
  fill(lab + 1, lab + n + 1, -1);
  for (int i = 1; i <= m; ++i) {
    int a, b; cin >> a >> b;
    int u = get(a), v = get(b);
    if (u != v) {
      s[u].insert(v);
      res += t[v].insert({u, a}).second * size(v);
      if (s[v].find(u) != s[v].end()) {
        q.push({u, v});
      }
      for (; q.size(); q.pop()) {
        mrg(q.front()[0], q.front()[1]);
      }
    }
    cout << res << "\n";
  }
  return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 9820 KB Output is correct
2 Correct 2 ms 9820 KB Output is correct
3 Correct 2 ms 9856 KB Output is correct
4 Correct 2 ms 9820 KB Output is correct
5 Correct 2 ms 9820 KB Output is correct
6 Correct 2 ms 9820 KB Output is correct
7 Correct 2 ms 9820 KB Output is correct
8 Correct 2 ms 9820 KB Output is correct
9 Correct 2 ms 9892 KB Output is correct
10 Correct 2 ms 9820 KB Output is correct
11 Correct 2 ms 9816 KB Output is correct
12 Correct 2 ms 9816 KB Output is correct
13 Correct 2 ms 9820 KB Output is correct
14 Correct 2 ms 9820 KB Output is correct
15 Correct 2 ms 9820 KB Output is correct
16 Correct 2 ms 9820 KB Output is correct
17 Correct 2 ms 9820 KB Output is correct
18 Correct 2 ms 9820 KB Output is correct
19 Correct 2 ms 9820 KB Output is correct
20 Correct 2 ms 9820 KB Output is correct
21 Correct 2 ms 9820 KB Output is correct
22 Correct 2 ms 9820 KB Output is correct
23 Correct 2 ms 9884 KB Output is correct
24 Correct 2 ms 9816 KB Output is correct
25 Correct 3 ms 10076 KB Output is correct
26 Correct 2 ms 9820 KB Output is correct
27 Correct 2 ms 9652 KB Output is correct
28 Correct 2 ms 9820 KB Output is correct
29 Correct 2 ms 9820 KB Output is correct
30 Correct 2 ms 9816 KB Output is correct
31 Correct 2 ms 9820 KB Output is correct
32 Correct 2 ms 9820 KB Output is correct
33 Correct 2 ms 9820 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 9820 KB Output is correct
2 Correct 2 ms 9820 KB Output is correct
3 Correct 2 ms 9856 KB Output is correct
4 Correct 2 ms 9820 KB Output is correct
5 Correct 2 ms 9820 KB Output is correct
6 Correct 2 ms 9820 KB Output is correct
7 Correct 2 ms 9820 KB Output is correct
8 Correct 2 ms 9820 KB Output is correct
9 Correct 2 ms 9892 KB Output is correct
10 Correct 2 ms 9820 KB Output is correct
11 Correct 2 ms 9816 KB Output is correct
12 Correct 2 ms 9816 KB Output is correct
13 Correct 2 ms 9820 KB Output is correct
14 Correct 2 ms 9820 KB Output is correct
15 Correct 2 ms 9820 KB Output is correct
16 Correct 2 ms 9820 KB Output is correct
17 Correct 2 ms 9820 KB Output is correct
18 Correct 2 ms 9820 KB Output is correct
19 Correct 2 ms 9820 KB Output is correct
20 Correct 2 ms 9820 KB Output is correct
21 Correct 2 ms 9820 KB Output is correct
22 Correct 2 ms 9820 KB Output is correct
23 Correct 2 ms 9884 KB Output is correct
24 Correct 2 ms 9816 KB Output is correct
25 Correct 3 ms 10076 KB Output is correct
26 Correct 2 ms 9820 KB Output is correct
27 Correct 2 ms 9652 KB Output is correct
28 Correct 2 ms 9820 KB Output is correct
29 Correct 2 ms 9820 KB Output is correct
30 Correct 2 ms 9816 KB Output is correct
31 Correct 2 ms 9820 KB Output is correct
32 Correct 2 ms 9820 KB Output is correct
33 Correct 2 ms 9820 KB Output is correct
34 Correct 3 ms 9872 KB Output is correct
35 Correct 46 ms 15104 KB Output is correct
36 Correct 63 ms 17236 KB Output is correct
37 Correct 63 ms 17236 KB Output is correct
38 Correct 62 ms 16928 KB Output is correct
39 Correct 3 ms 10072 KB Output is correct
40 Correct 4 ms 10328 KB Output is correct
41 Correct 5 ms 10332 KB Output is correct
42 Correct 3 ms 10076 KB Output is correct
43 Correct 4 ms 10076 KB Output is correct
44 Correct 3 ms 10076 KB Output is correct
45 Correct 4 ms 9924 KB Output is correct
46 Correct 3 ms 10076 KB Output is correct
47 Correct 4 ms 10328 KB Output is correct
48 Correct 4 ms 10076 KB Output is correct
49 Correct 8 ms 10588 KB Output is correct
50 Correct 64 ms 17236 KB Output is correct
51 Correct 6 ms 10332 KB Output is correct
52 Correct 54 ms 16024 KB Output is correct
53 Correct 8 ms 10588 KB Output is correct
54 Correct 58 ms 16644 KB Output is correct
55 Correct 5 ms 10332 KB Output is correct
56 Correct 4 ms 10332 KB Output is correct
57 Correct 5 ms 10124 KB Output is correct
58 Correct 4 ms 10332 KB Output is correct
59 Correct 4 ms 10332 KB Output is correct
60 Correct 47 ms 15352 KB Output is correct
61 Correct 5 ms 10076 KB Output is correct
62 Correct 61 ms 16772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 9820 KB Output is correct
2 Correct 2 ms 9820 KB Output is correct
3 Correct 2 ms 9856 KB Output is correct
4 Correct 2 ms 9820 KB Output is correct
5 Correct 2 ms 9820 KB Output is correct
6 Correct 2 ms 9820 KB Output is correct
7 Correct 2 ms 9820 KB Output is correct
8 Correct 2 ms 9820 KB Output is correct
9 Correct 2 ms 9892 KB Output is correct
10 Correct 2 ms 9820 KB Output is correct
11 Correct 2 ms 9816 KB Output is correct
12 Correct 2 ms 9816 KB Output is correct
13 Correct 2 ms 9820 KB Output is correct
14 Correct 2 ms 9820 KB Output is correct
15 Correct 2 ms 9820 KB Output is correct
16 Correct 2 ms 9820 KB Output is correct
17 Correct 2 ms 9820 KB Output is correct
18 Correct 2 ms 9820 KB Output is correct
19 Correct 2 ms 9820 KB Output is correct
20 Correct 2 ms 9820 KB Output is correct
21 Correct 2 ms 9820 KB Output is correct
22 Correct 2 ms 9820 KB Output is correct
23 Correct 2 ms 9884 KB Output is correct
24 Correct 2 ms 9816 KB Output is correct
25 Correct 3 ms 10076 KB Output is correct
26 Correct 2 ms 9820 KB Output is correct
27 Correct 2 ms 9652 KB Output is correct
28 Correct 2 ms 9820 KB Output is correct
29 Correct 2 ms 9820 KB Output is correct
30 Correct 2 ms 9816 KB Output is correct
31 Correct 2 ms 9820 KB Output is correct
32 Correct 2 ms 9820 KB Output is correct
33 Correct 2 ms 9820 KB Output is correct
34 Correct 3 ms 9872 KB Output is correct
35 Correct 46 ms 15104 KB Output is correct
36 Correct 63 ms 17236 KB Output is correct
37 Correct 63 ms 17236 KB Output is correct
38 Correct 62 ms 16928 KB Output is correct
39 Correct 3 ms 10072 KB Output is correct
40 Correct 4 ms 10328 KB Output is correct
41 Correct 5 ms 10332 KB Output is correct
42 Correct 3 ms 10076 KB Output is correct
43 Correct 4 ms 10076 KB Output is correct
44 Correct 3 ms 10076 KB Output is correct
45 Correct 4 ms 9924 KB Output is correct
46 Correct 3 ms 10076 KB Output is correct
47 Correct 4 ms 10328 KB Output is correct
48 Correct 4 ms 10076 KB Output is correct
49 Correct 8 ms 10588 KB Output is correct
50 Correct 64 ms 17236 KB Output is correct
51 Correct 6 ms 10332 KB Output is correct
52 Correct 54 ms 16024 KB Output is correct
53 Correct 8 ms 10588 KB Output is correct
54 Correct 58 ms 16644 KB Output is correct
55 Correct 5 ms 10332 KB Output is correct
56 Correct 4 ms 10332 KB Output is correct
57 Correct 5 ms 10124 KB Output is correct
58 Correct 4 ms 10332 KB Output is correct
59 Correct 4 ms 10332 KB Output is correct
60 Correct 47 ms 15352 KB Output is correct
61 Correct 5 ms 10076 KB Output is correct
62 Correct 61 ms 16772 KB Output is correct
63 Correct 214 ms 43856 KB Output is correct
64 Correct 196 ms 43652 KB Output is correct
65 Correct 194 ms 43860 KB Output is correct
66 Correct 94 ms 23892 KB Output is correct
67 Correct 205 ms 51024 KB Output is correct
68 Correct 88 ms 23892 KB Output is correct
69 Correct 172 ms 23972 KB Output is correct
70 Correct 93 ms 23972 KB Output is correct
71 Correct 90 ms 24144 KB Output is correct
72 Correct 202 ms 34752 KB Output is correct
73 Correct 206 ms 36432 KB Output is correct
74 Correct 457 ms 50636 KB Output is correct
75 Correct 225 ms 28704 KB Output is correct
76 Correct 327 ms 38224 KB Output is correct
77 Correct 338 ms 38244 KB Output is correct
78 Correct 117 ms 23920 KB Output is correct
79 Correct 133 ms 28752 KB Output is correct
80 Correct 110 ms 24052 KB Output is correct
81 Correct 200 ms 27988 KB Output is correct
82 Correct 298 ms 35156 KB Output is correct
83 Correct 286 ms 35152 KB Output is correct
84 Correct 230 ms 34128 KB Output is correct
85 Correct 230 ms 34128 KB Output is correct
86 Correct 169 ms 58944 KB Output is correct
87 Correct 181 ms 61264 KB Output is correct
88 Correct 206 ms 35668 KB Output is correct
89 Correct 292 ms 37184 KB Output is correct