Submission #374049

# Submission time Handle Problem Language Result Execution time Memory
374049 2021-03-06T13:49:15 Z duchung Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
717 ms 41184 KB
#define ii pair<int , int>
#define ll long long

#include <bits/stdc++.h>
using namespace std;

const int N = 1e5 + 5;

int n , m;
ll ans = 0;
int parent[N];
ll sz[N];
set<ii> edge[N];
set<int> group[N];

int find_set(int u)
{
    return parent[u] == u ? u : find_set(parent[u]);
}

void join(int U , int V)
{
    int u = find_set(U) , v = find_set(V);
    if (u == v) return;

    auto it = edge[v].lower_bound(make_pair(u , 0));
    if (it != edge[v].end() && it->first == u)
    {
        ans += sz[u] * sz[v] * 2;

        if (edge[u].size() + group[u].size() > edge[v].size() + group[v].size()) swap(u , v);

        vector<ii> new_edge;
        for (auto e : edge[u])
        {
            group[e.first].erase(e.second);
            ans -= sz[e.first];
            if (e.first != v) new_edge.push_back(e);
        }

        edge[u].clear();
        ans -= sz[u] * group[u].size();
        ans += sz[u] * group[v].size();

        vector<int> new_group;
        for (auto X : group[u])
        {
            int x = find_set(X);
            edge[x].erase({u , X});
            if (x != v) new_group.push_back(X);
        }

        group[u].clear();
        parent[u] = v , sz[v] += sz[u];
        for (auto e : new_edge) join(e.second , e.first);
        for (auto X : new_group) join(X , v);

    }
    else if (!group[v].count(U))
    {
        ans += sz[v];
        edge[u].emplace(make_pair(v , U));
        group[v].insert(U);
    }

}

int main()
{
    // freopen(".inp","r",stdin);
    // freopen(".out","w",stdout);
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin >> n >> m;

    for (int i = 1 ; i <= n ; ++i)
    {
        parent[i] = i;
        sz[i] = 1;
    }

    while(m--)
    {
        int U , V;
        cin >> U >> V;
        join(U , V);
        cout << ans << "\n";
    }

}
# Verdict Execution time Memory Grader output
1 Correct 8 ms 9708 KB Output is correct
2 Correct 7 ms 9708 KB Output is correct
3 Correct 7 ms 9708 KB Output is correct
4 Correct 8 ms 9708 KB Output is correct
5 Correct 7 ms 9852 KB Output is correct
6 Correct 7 ms 9708 KB Output is correct
7 Correct 7 ms 9708 KB Output is correct
8 Correct 7 ms 9708 KB Output is correct
9 Correct 8 ms 9708 KB Output is correct
10 Correct 9 ms 9708 KB Output is correct
11 Correct 7 ms 9708 KB Output is correct
12 Correct 7 ms 9708 KB Output is correct
13 Correct 7 ms 9728 KB Output is correct
14 Correct 7 ms 9708 KB Output is correct
15 Correct 7 ms 9708 KB Output is correct
16 Correct 7 ms 9708 KB Output is correct
17 Correct 7 ms 9728 KB Output is correct
18 Correct 7 ms 9708 KB Output is correct
19 Correct 7 ms 9708 KB Output is correct
20 Correct 7 ms 9708 KB Output is correct
21 Correct 9 ms 9836 KB Output is correct
22 Correct 8 ms 9856 KB Output is correct
23 Correct 7 ms 9708 KB Output is correct
24 Correct 7 ms 9708 KB Output is correct
25 Correct 7 ms 9708 KB Output is correct
26 Correct 7 ms 9708 KB Output is correct
27 Correct 7 ms 9708 KB Output is correct
28 Correct 8 ms 9708 KB Output is correct
29 Correct 7 ms 9856 KB Output is correct
30 Correct 7 ms 9708 KB Output is correct
31 Correct 7 ms 9708 KB Output is correct
32 Correct 7 ms 9784 KB Output is correct
33 Correct 7 ms 9708 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 9708 KB Output is correct
2 Correct 7 ms 9708 KB Output is correct
3 Correct 7 ms 9708 KB Output is correct
4 Correct 8 ms 9708 KB Output is correct
5 Correct 7 ms 9852 KB Output is correct
6 Correct 7 ms 9708 KB Output is correct
7 Correct 7 ms 9708 KB Output is correct
8 Correct 7 ms 9708 KB Output is correct
9 Correct 8 ms 9708 KB Output is correct
10 Correct 9 ms 9708 KB Output is correct
11 Correct 7 ms 9708 KB Output is correct
12 Correct 7 ms 9708 KB Output is correct
13 Correct 7 ms 9728 KB Output is correct
14 Correct 7 ms 9708 KB Output is correct
15 Correct 7 ms 9708 KB Output is correct
16 Correct 7 ms 9708 KB Output is correct
17 Correct 7 ms 9728 KB Output is correct
18 Correct 7 ms 9708 KB Output is correct
19 Correct 7 ms 9708 KB Output is correct
20 Correct 7 ms 9708 KB Output is correct
21 Correct 9 ms 9836 KB Output is correct
22 Correct 8 ms 9856 KB Output is correct
23 Correct 7 ms 9708 KB Output is correct
24 Correct 7 ms 9708 KB Output is correct
25 Correct 7 ms 9708 KB Output is correct
26 Correct 7 ms 9708 KB Output is correct
27 Correct 7 ms 9708 KB Output is correct
28 Correct 8 ms 9708 KB Output is correct
29 Correct 7 ms 9856 KB Output is correct
30 Correct 7 ms 9708 KB Output is correct
31 Correct 7 ms 9708 KB Output is correct
32 Correct 7 ms 9784 KB Output is correct
33 Correct 7 ms 9708 KB Output is correct
34 Correct 9 ms 9836 KB Output is correct
35 Correct 90 ms 12908 KB Output is correct
36 Correct 113 ms 14848 KB Output is correct
37 Correct 112 ms 14828 KB Output is correct
38 Correct 112 ms 14572 KB Output is correct
39 Correct 8 ms 9836 KB Output is correct
40 Correct 9 ms 9836 KB Output is correct
41 Correct 10 ms 9836 KB Output is correct
42 Correct 8 ms 9836 KB Output is correct
43 Correct 9 ms 9836 KB Output is correct
44 Correct 9 ms 9836 KB Output is correct
45 Correct 8 ms 9836 KB Output is correct
46 Correct 8 ms 9836 KB Output is correct
47 Correct 9 ms 9836 KB Output is correct
48 Correct 9 ms 9836 KB Output is correct
49 Correct 15 ms 10348 KB Output is correct
50 Correct 112 ms 14828 KB Output is correct
51 Correct 12 ms 10092 KB Output is correct
52 Correct 100 ms 13676 KB Output is correct
53 Correct 17 ms 10348 KB Output is correct
54 Correct 121 ms 14188 KB Output is correct
55 Correct 10 ms 10220 KB Output is correct
56 Correct 10 ms 10220 KB Output is correct
57 Correct 11 ms 10220 KB Output is correct
58 Correct 11 ms 10220 KB Output is correct
59 Correct 8 ms 9836 KB Output is correct
60 Correct 100 ms 12140 KB Output is correct
61 Correct 10 ms 9964 KB Output is correct
62 Correct 108 ms 14444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 9708 KB Output is correct
2 Correct 7 ms 9708 KB Output is correct
3 Correct 7 ms 9708 KB Output is correct
4 Correct 8 ms 9708 KB Output is correct
5 Correct 7 ms 9852 KB Output is correct
6 Correct 7 ms 9708 KB Output is correct
7 Correct 7 ms 9708 KB Output is correct
8 Correct 7 ms 9708 KB Output is correct
9 Correct 8 ms 9708 KB Output is correct
10 Correct 9 ms 9708 KB Output is correct
11 Correct 7 ms 9708 KB Output is correct
12 Correct 7 ms 9708 KB Output is correct
13 Correct 7 ms 9728 KB Output is correct
14 Correct 7 ms 9708 KB Output is correct
15 Correct 7 ms 9708 KB Output is correct
16 Correct 7 ms 9708 KB Output is correct
17 Correct 7 ms 9728 KB Output is correct
18 Correct 7 ms 9708 KB Output is correct
19 Correct 7 ms 9708 KB Output is correct
20 Correct 7 ms 9708 KB Output is correct
21 Correct 9 ms 9836 KB Output is correct
22 Correct 8 ms 9856 KB Output is correct
23 Correct 7 ms 9708 KB Output is correct
24 Correct 7 ms 9708 KB Output is correct
25 Correct 7 ms 9708 KB Output is correct
26 Correct 7 ms 9708 KB Output is correct
27 Correct 7 ms 9708 KB Output is correct
28 Correct 8 ms 9708 KB Output is correct
29 Correct 7 ms 9856 KB Output is correct
30 Correct 7 ms 9708 KB Output is correct
31 Correct 7 ms 9708 KB Output is correct
32 Correct 7 ms 9784 KB Output is correct
33 Correct 7 ms 9708 KB Output is correct
34 Correct 9 ms 9836 KB Output is correct
35 Correct 90 ms 12908 KB Output is correct
36 Correct 113 ms 14848 KB Output is correct
37 Correct 112 ms 14828 KB Output is correct
38 Correct 112 ms 14572 KB Output is correct
39 Correct 8 ms 9836 KB Output is correct
40 Correct 9 ms 9836 KB Output is correct
41 Correct 10 ms 9836 KB Output is correct
42 Correct 8 ms 9836 KB Output is correct
43 Correct 9 ms 9836 KB Output is correct
44 Correct 9 ms 9836 KB Output is correct
45 Correct 8 ms 9836 KB Output is correct
46 Correct 8 ms 9836 KB Output is correct
47 Correct 9 ms 9836 KB Output is correct
48 Correct 9 ms 9836 KB Output is correct
49 Correct 15 ms 10348 KB Output is correct
50 Correct 112 ms 14828 KB Output is correct
51 Correct 12 ms 10092 KB Output is correct
52 Correct 100 ms 13676 KB Output is correct
53 Correct 17 ms 10348 KB Output is correct
54 Correct 121 ms 14188 KB Output is correct
55 Correct 10 ms 10220 KB Output is correct
56 Correct 10 ms 10220 KB Output is correct
57 Correct 11 ms 10220 KB Output is correct
58 Correct 11 ms 10220 KB Output is correct
59 Correct 8 ms 9836 KB Output is correct
60 Correct 100 ms 12140 KB Output is correct
61 Correct 10 ms 9964 KB Output is correct
62 Correct 108 ms 14444 KB Output is correct
63 Correct 413 ms 41068 KB Output is correct
64 Correct 418 ms 41068 KB Output is correct
65 Correct 423 ms 41184 KB Output is correct
66 Correct 93 ms 13036 KB Output is correct
67 Correct 175 ms 19308 KB Output is correct
68 Correct 98 ms 15596 KB Output is correct
69 Correct 284 ms 19948 KB Output is correct
70 Correct 98 ms 15340 KB Output is correct
71 Correct 96 ms 15340 KB Output is correct
72 Correct 228 ms 19436 KB Output is correct
73 Correct 222 ms 19436 KB Output is correct
74 Correct 717 ms 28652 KB Output is correct
75 Correct 396 ms 24684 KB Output is correct
76 Correct 522 ms 27756 KB Output is correct
77 Correct 546 ms 27884 KB Output is correct
78 Correct 163 ms 18924 KB Output is correct
79 Correct 286 ms 22764 KB Output is correct
80 Correct 145 ms 18924 KB Output is correct
81 Correct 264 ms 22380 KB Output is correct
82 Correct 508 ms 33388 KB Output is correct
83 Correct 506 ms 33260 KB Output is correct
84 Correct 471 ms 33772 KB Output is correct
85 Correct 444 ms 33644 KB Output is correct
86 Correct 99 ms 14572 KB Output is correct
87 Correct 139 ms 16748 KB Output is correct
88 Correct 233 ms 19564 KB Output is correct
89 Correct 481 ms 27116 KB Output is correct