oj.uz

Submission #963721

# Submission time Handle Problem Language Result Execution time Memory
963721 2024-04-15T14:14:05 Z alextodoran Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
 906 ms 62356 KB 
/**
 _  _   __  _ _ _  _  _ _
 |a  ||t  ||o    d | |o  |
| __    _| | _ | __|  _ |
| __ |/_  | __  /__\ / _\|

**/

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N_MAX = 100000;

int N, M;

int root[N_MAX + 2];
int cnt[N_MAX + 2];
set <int> in[N_MAX + 2];
set <int> ins[N_MAX + 2];
set <pair <int, int>> out[N_MAX + 2];
ll answer;

ll f (int u) {
    return (ll) in[u].size() * cnt[u] + (ll) cnt[u] * (cnt[u] - 1);
}

int find_root (int u) {
    return (root[u] == 0 ? u : root[u] = find_root(root[u]));
}

queue <pair <int, int>> join_que;

void del_edge (int u, int v) {
    int ru = find_root(u), rv = find_root(v);
    in[rv].erase(u);
    out[ru].erase({u, rv});
}
bool add_edge (int u, int v) {
    int ru = find_root(u), rv = find_root(v);
    if (ru == rv || out[ru].find({u, rv}) != out[ru].end()) {
        return false;
    }
    in[rv].insert(u);
    out[ru].insert({u, rv});
    ins[rv].insert(ru);
    if (ins[ru].find(rv) != ins[ru].end()) {
        join_que.push({ru, rv});
    }
    return true;
}
void join (int u, int v) {
    u = find_root(u); v = find_root(v);
    if (u == v) {
        return;
    }
    if ((int) in[u].size() + (int) out[u].size()
      > (int) in[v].size() + (int) out[v].size()) {
        swap(u, v);
    }
    answer -= f(u) + f(v);
    vector <pair <int, int>> del, add;
    for (int x : in[u]) {
        del.push_back({x, u});
        if (find_root(x) != v) {
            add.push_back({x, u});
        }
    }
    for (pair <int, int> e : out[u]) {
        del.push_back(e);
        if (e.second != v) {
            add.push_back(e);
        }
    }
    for (pair <int, int> e : del) {
        del_edge(e.first, e.second);
    }
    root[u] = v;
    cnt[v] += cnt[u];
    for (pair <int, int> e : add) {
        add_edge(e.first, e.second);
    }
    answer += f(v);
}

int main () {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> N >> M;
    fill(cnt + 1, cnt + N + 1, 1);
    while (M--) {
        int u, v;
        cin >> u >> v;
        if (add_edge(u, v) == true) {
            answer += cnt[find_root(v)];
        }
        while (join_que.empty() == false) {
            pair <int, int> e = join_que.front();
            join_que.pop();
            join(e.first, e.second);
        }
        cout << answer << "\n";
    }

    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 3 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 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 3 ms 14984 KB Output is correct
8 Correct 4 ms 14940 KB Output is correct
9 Correct 4 ms 14940 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 3 ms 14936 KB Output is correct
12 Correct 3 ms 14940 KB Output is correct
13 Correct 4 ms 14964 KB Output is correct
14 Correct 3 ms 14936 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 3 ms 14936 KB Output is correct
18 Correct 4 ms 14940 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 3 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 3 ms 14940 KB Output is correct
23 Correct 3 ms 14940 KB Output is correct
24 Correct 3 ms 14940 KB Output is correct
25 Correct 4 ms 14940 KB Output is correct
26 Correct 3 ms 14940 KB Output is correct
27 Correct 4 ms 14940 KB Output is correct
28 Correct 3 ms 14940 KB Output is correct
29 Correct 3 ms 14940 KB Output is correct
30 Correct 3 ms 14940 KB Output is correct
31 Correct 3 ms 14936 KB Output is correct
32 Correct 3 ms 14940 KB Output is correct
33 Correct 4 ms 14936 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 3 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 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 3 ms 14984 KB Output is correct
8 Correct 4 ms 14940 KB Output is correct
9 Correct 4 ms 14940 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 3 ms 14936 KB Output is correct
12 Correct 3 ms 14940 KB Output is correct
13 Correct 4 ms 14964 KB Output is correct
14 Correct 3 ms 14936 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 3 ms 14936 KB Output is correct
18 Correct 4 ms 14940 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 3 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 3 ms 14940 KB Output is correct
23 Correct 3 ms 14940 KB Output is correct
24 Correct 3 ms 14940 KB Output is correct
25 Correct 4 ms 14940 KB Output is correct
26 Correct 3 ms 14940 KB Output is correct
27 Correct 4 ms 14940 KB Output is correct
28 Correct 3 ms 14940 KB Output is correct
29 Correct 3 ms 14940 KB Output is correct
30 Correct 3 ms 14940 KB Output is correct
31 Correct 3 ms 14936 KB Output is correct
32 Correct 3 ms 14940 KB Output is correct
33 Correct 4 ms 14936 KB Output is correct
34 Correct 5 ms 14940 KB Output is correct
35 Correct 65 ms 20692 KB Output is correct
36 Correct 87 ms 23124 KB Output is correct
37 Correct 86 ms 23228 KB Output is correct
38 Correct 85 ms 22740 KB Output is correct
39 Correct 5 ms 15196 KB Output is correct
40 Correct 5 ms 15196 KB Output is correct
41 Correct 6 ms 15260 KB Output is correct
42 Correct 5 ms 15196 KB Output is correct
43 Correct 6 ms 15196 KB Output is correct
44 Correct 6 ms 15196 KB Output is correct
45 Correct 5 ms 15196 KB Output is correct
46 Correct 7 ms 15196 KB Output is correct
47 Correct 6 ms 15192 KB Output is correct
48 Correct 7 ms 15312 KB Output is correct
49 Correct 14 ms 15844 KB Output is correct
50 Correct 90 ms 23132 KB Output is correct
51 Correct 9 ms 15448 KB Output is correct
52 Correct 74 ms 21584 KB Output is correct
53 Correct 11 ms 15964 KB Output is correct
54 Correct 77 ms 22260 KB Output is correct
55 Correct 8 ms 15704 KB Output is correct
56 Correct 8 ms 15448 KB Output is correct
57 Correct 7 ms 15452 KB Output is correct
58 Correct 7 ms 15452 KB Output is correct
59 Correct 5 ms 15196 KB Output is correct
60 Correct 62 ms 19680 KB Output is correct
61 Correct 7 ms 15196 KB Output is correct
62 Correct 80 ms 22612 KB Output is correct

Subtask #3
83.0 / 83.0

# Verdict Execution time Memory Grader output
1 Correct 3 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 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 3 ms 14984 KB Output is correct
8 Correct 4 ms 14940 KB Output is correct
9 Correct 4 ms 14940 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 3 ms 14936 KB Output is correct
12 Correct 3 ms 14940 KB Output is correct
13 Correct 4 ms 14964 KB Output is correct
14 Correct 3 ms 14936 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 3 ms 14936 KB Output is correct
18 Correct 4 ms 14940 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 3 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 3 ms 14940 KB Output is correct
23 Correct 3 ms 14940 KB Output is correct
24 Correct 3 ms 14940 KB Output is correct
25 Correct 4 ms 14940 KB Output is correct
26 Correct 3 ms 14940 KB Output is correct
27 Correct 4 ms 14940 KB Output is correct
28 Correct 3 ms 14940 KB Output is correct
29 Correct 3 ms 14940 KB Output is correct
30 Correct 3 ms 14940 KB Output is correct
31 Correct 3 ms 14936 KB Output is correct
32 Correct 3 ms 14940 KB Output is correct
33 Correct 4 ms 14936 KB Output is correct
34 Correct 5 ms 14940 KB Output is correct
35 Correct 65 ms 20692 KB Output is correct
36 Correct 87 ms 23124 KB Output is correct
37 Correct 86 ms 23228 KB Output is correct
38 Correct 85 ms 22740 KB Output is correct
39 Correct 5 ms 15196 KB Output is correct
40 Correct 5 ms 15196 KB Output is correct
41 Correct 6 ms 15260 KB Output is correct
42 Correct 5 ms 15196 KB Output is correct
43 Correct 6 ms 15196 KB Output is correct
44 Correct 6 ms 15196 KB Output is correct
45 Correct 5 ms 15196 KB Output is correct
46 Correct 7 ms 15196 KB Output is correct
47 Correct 6 ms 15192 KB Output is correct
48 Correct 7 ms 15312 KB Output is correct
49 Correct 14 ms 15844 KB Output is correct
50 Correct 90 ms 23132 KB Output is correct
51 Correct 9 ms 15448 KB Output is correct
52 Correct 74 ms 21584 KB Output is correct
53 Correct 11 ms 15964 KB Output is correct
54 Correct 77 ms 22260 KB Output is correct
55 Correct 8 ms 15704 KB Output is correct
56 Correct 8 ms 15448 KB Output is correct
57 Correct 7 ms 15452 KB Output is correct
58 Correct 7 ms 15452 KB Output is correct
59 Correct 5 ms 15196 KB Output is correct
60 Correct 62 ms 19680 KB Output is correct
61 Correct 7 ms 15196 KB Output is correct
62 Correct 80 ms 22612 KB Output is correct
63 Correct 432 ms 62340 KB Output is correct
64 Correct 385 ms 62356 KB Output is correct
65 Correct 381 ms 62288 KB Output is correct
66 Correct 136 ms 28956 KB Output is correct
67 Correct 236 ms 31148 KB Output is correct
68 Correct 135 ms 28984 KB Output is correct
69 Correct 280 ms 30540 KB Output is correct
70 Correct 151 ms 29096 KB Output is correct
71 Correct 137 ms 29012 KB Output is correct
72 Correct 295 ms 31452 KB Output is correct
73 Correct 305 ms 31544 KB Output is correct
74 Correct 906 ms 54840 KB Output is correct
75 Correct 418 ms 36252 KB Output is correct
76 Correct 610 ms 44764 KB Output is correct
77 Correct 573 ms 44860 KB Output is correct
78 Correct 179 ms 31512 KB Output is correct
79 Correct 302 ms 35856 KB Output is correct
80 Correct 146 ms 31380 KB Output is correct
81 Correct 215 ms 34644 KB Output is correct
82 Correct 607 ms 48272 KB Output is correct
83 Correct 589 ms 47700 KB Output is correct
84 Correct 493 ms 47152 KB Output is correct
85 Correct 534 ms 47316 KB Output is correct
86 Correct 115 ms 28240 KB Output is correct
87 Correct 139 ms 30292 KB Output is correct
88 Correct 290 ms 31572 KB Output is correct
89 Correct 602 ms 42928 KB Output is correct