Submission #387285

# Submission time Handle Problem Language Result Execution time Memory
387285 2021-04-08T08:39:29 Z cheissmart Making Friends on Joitter is Fun (JOI20_joitter2) C++14
100 / 100
1694 ms 103572 KB
#include <bits/stdc++.h>
#define F first
#define S second
#define PB push_back
#define MP make_pair
#define EB emplace_back
#define V vector
#define ALL(v) (v).begin(), (v).end()
#define debug(x) cerr << "LINE(" << __LINE__ << ") ->" << #x << " is " << x << endl

using namespace std;

typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;

const int INF = 1e9 + 7, N = 1e5 + 7;

unordered_set<int> G[N], rG[N], ch[N];
int p[N], sz[N];
queue<pi> q;
ll ans = 0;

int find(int u) {
    return p[u] == u ? u : p[u] = find(p[u]);
}

void add_edge(int u, int v) {
    G[u].insert(v);
    rG[v].insert(u);
    if(G[v].count(u)) {
        q.push({u, v});
    }
}

int get_size(int u) {
    return G[u].size() + rG[u].size() + ch[u].size();
}

void unite(int x, int y) {
    x = find(x), y = find(y);
    if(x == y) return;
    if(get_size(x) > get_size(y)) swap(x, y);
    ans += (ll) sz[x] * ch[y].size() + (ll) sz[y] * ch[x].size();
    p[x] = y;
    sz[y] += sz[x];
    // merge x into y
    for(int i:ch[x]) {
        if(ch[y].count(i)) ans -= sz[y];
        else ch[y].insert(i);
    }
    G[x].erase(y), G[y].erase(x);
    rG[x].erase(y), rG[y].erase(x);
    for(int i:G[x]) {
        G[y].insert(i);
        add_edge(y, i);
    }
    for(int i:rG[x]) {
        rG[y].insert(i);
        add_edge(i, y);
    }
}

signed main()
{
	ios::sync_with_stdio(0), cin.tie(0);

    int n, m;
    cin >> n >> m;
    for(int i = 1; i <= n; i++) {
        p[i] = i, sz[i] = 1;
        ch[i].insert(i);
    }
    for(int i = 0; i < m; i++) {
        int u, v;
        cin >> u >> v;
        v = find(v);
        if(find(u) != v && ch[v].count(u) == 0) {
            ch[v].insert(u);
            ans += sz[v]; // u will connect to everyone in v's component
            u = find(u);
            add_edge(u, v);
            while(q.size()) {
                pi p = q.front(); q.pop();
                unite(p.F, p.S);
            }
        }
        cout << ans << '\n';
    }

}
# Verdict Execution time Memory Grader output
1 Correct 14 ms 16748 KB Output is correct
2 Correct 14 ms 16748 KB Output is correct
3 Correct 13 ms 16748 KB Output is correct
4 Correct 14 ms 16748 KB Output is correct
5 Correct 14 ms 16748 KB Output is correct
6 Correct 13 ms 16748 KB Output is correct
7 Correct 14 ms 16876 KB Output is correct
8 Correct 14 ms 16876 KB Output is correct
9 Correct 14 ms 16876 KB Output is correct
10 Correct 14 ms 16748 KB Output is correct
11 Correct 14 ms 16748 KB Output is correct
12 Correct 13 ms 16748 KB Output is correct
13 Correct 14 ms 16748 KB Output is correct
14 Correct 13 ms 16748 KB Output is correct
15 Correct 15 ms 16748 KB Output is correct
16 Correct 14 ms 16748 KB Output is correct
17 Correct 14 ms 16748 KB Output is correct
18 Correct 13 ms 16748 KB Output is correct
19 Correct 13 ms 16748 KB Output is correct
20 Correct 14 ms 16876 KB Output is correct
21 Correct 14 ms 17004 KB Output is correct
22 Correct 13 ms 16748 KB Output is correct
23 Correct 14 ms 16876 KB Output is correct
24 Correct 14 ms 16876 KB Output is correct
25 Correct 15 ms 17004 KB Output is correct
26 Correct 13 ms 16748 KB Output is correct
27 Correct 13 ms 16748 KB Output is correct
28 Correct 14 ms 16748 KB Output is correct
29 Correct 13 ms 16748 KB Output is correct
30 Correct 13 ms 16748 KB Output is correct
31 Correct 14 ms 16876 KB Output is correct
32 Correct 13 ms 16876 KB Output is correct
33 Correct 15 ms 16876 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 16748 KB Output is correct
2 Correct 14 ms 16748 KB Output is correct
3 Correct 13 ms 16748 KB Output is correct
4 Correct 14 ms 16748 KB Output is correct
5 Correct 14 ms 16748 KB Output is correct
6 Correct 13 ms 16748 KB Output is correct
7 Correct 14 ms 16876 KB Output is correct
8 Correct 14 ms 16876 KB Output is correct
9 Correct 14 ms 16876 KB Output is correct
10 Correct 14 ms 16748 KB Output is correct
11 Correct 14 ms 16748 KB Output is correct
12 Correct 13 ms 16748 KB Output is correct
13 Correct 14 ms 16748 KB Output is correct
14 Correct 13 ms 16748 KB Output is correct
15 Correct 15 ms 16748 KB Output is correct
16 Correct 14 ms 16748 KB Output is correct
17 Correct 14 ms 16748 KB Output is correct
18 Correct 13 ms 16748 KB Output is correct
19 Correct 13 ms 16748 KB Output is correct
20 Correct 14 ms 16876 KB Output is correct
21 Correct 14 ms 17004 KB Output is correct
22 Correct 13 ms 16748 KB Output is correct
23 Correct 14 ms 16876 KB Output is correct
24 Correct 14 ms 16876 KB Output is correct
25 Correct 15 ms 17004 KB Output is correct
26 Correct 13 ms 16748 KB Output is correct
27 Correct 13 ms 16748 KB Output is correct
28 Correct 14 ms 16748 KB Output is correct
29 Correct 13 ms 16748 KB Output is correct
30 Correct 13 ms 16748 KB Output is correct
31 Correct 14 ms 16876 KB Output is correct
32 Correct 13 ms 16876 KB Output is correct
33 Correct 15 ms 16876 KB Output is correct
34 Correct 16 ms 17004 KB Output is correct
35 Correct 106 ms 21100 KB Output is correct
36 Correct 128 ms 23660 KB Output is correct
37 Correct 129 ms 23788 KB Output is correct
38 Correct 126 ms 23404 KB Output is correct
39 Correct 17 ms 17260 KB Output is correct
40 Correct 24 ms 18028 KB Output is correct
41 Correct 22 ms 18028 KB Output is correct
42 Correct 17 ms 17260 KB Output is correct
43 Correct 17 ms 17260 KB Output is correct
44 Correct 18 ms 17260 KB Output is correct
45 Correct 18 ms 17260 KB Output is correct
46 Correct 17 ms 17260 KB Output is correct
47 Correct 19 ms 17644 KB Output is correct
48 Correct 19 ms 17644 KB Output is correct
49 Correct 27 ms 18540 KB Output is correct
50 Correct 140 ms 23916 KB Output is correct
51 Correct 21 ms 17772 KB Output is correct
52 Correct 115 ms 21996 KB Output is correct
53 Correct 27 ms 18412 KB Output is correct
54 Correct 137 ms 23084 KB Output is correct
55 Correct 21 ms 17772 KB Output is correct
56 Correct 21 ms 17772 KB Output is correct
57 Correct 20 ms 17900 KB Output is correct
58 Correct 20 ms 17900 KB Output is correct
59 Correct 19 ms 17644 KB Output is correct
60 Correct 101 ms 20556 KB Output is correct
61 Correct 20 ms 17644 KB Output is correct
62 Correct 126 ms 23276 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 16748 KB Output is correct
2 Correct 14 ms 16748 KB Output is correct
3 Correct 13 ms 16748 KB Output is correct
4 Correct 14 ms 16748 KB Output is correct
5 Correct 14 ms 16748 KB Output is correct
6 Correct 13 ms 16748 KB Output is correct
7 Correct 14 ms 16876 KB Output is correct
8 Correct 14 ms 16876 KB Output is correct
9 Correct 14 ms 16876 KB Output is correct
10 Correct 14 ms 16748 KB Output is correct
11 Correct 14 ms 16748 KB Output is correct
12 Correct 13 ms 16748 KB Output is correct
13 Correct 14 ms 16748 KB Output is correct
14 Correct 13 ms 16748 KB Output is correct
15 Correct 15 ms 16748 KB Output is correct
16 Correct 14 ms 16748 KB Output is correct
17 Correct 14 ms 16748 KB Output is correct
18 Correct 13 ms 16748 KB Output is correct
19 Correct 13 ms 16748 KB Output is correct
20 Correct 14 ms 16876 KB Output is correct
21 Correct 14 ms 17004 KB Output is correct
22 Correct 13 ms 16748 KB Output is correct
23 Correct 14 ms 16876 KB Output is correct
24 Correct 14 ms 16876 KB Output is correct
25 Correct 15 ms 17004 KB Output is correct
26 Correct 13 ms 16748 KB Output is correct
27 Correct 13 ms 16748 KB Output is correct
28 Correct 14 ms 16748 KB Output is correct
29 Correct 13 ms 16748 KB Output is correct
30 Correct 13 ms 16748 KB Output is correct
31 Correct 14 ms 16876 KB Output is correct
32 Correct 13 ms 16876 KB Output is correct
33 Correct 15 ms 16876 KB Output is correct
34 Correct 16 ms 17004 KB Output is correct
35 Correct 106 ms 21100 KB Output is correct
36 Correct 128 ms 23660 KB Output is correct
37 Correct 129 ms 23788 KB Output is correct
38 Correct 126 ms 23404 KB Output is correct
39 Correct 17 ms 17260 KB Output is correct
40 Correct 24 ms 18028 KB Output is correct
41 Correct 22 ms 18028 KB Output is correct
42 Correct 17 ms 17260 KB Output is correct
43 Correct 17 ms 17260 KB Output is correct
44 Correct 18 ms 17260 KB Output is correct
45 Correct 18 ms 17260 KB Output is correct
46 Correct 17 ms 17260 KB Output is correct
47 Correct 19 ms 17644 KB Output is correct
48 Correct 19 ms 17644 KB Output is correct
49 Correct 27 ms 18540 KB Output is correct
50 Correct 140 ms 23916 KB Output is correct
51 Correct 21 ms 17772 KB Output is correct
52 Correct 115 ms 21996 KB Output is correct
53 Correct 27 ms 18412 KB Output is correct
54 Correct 137 ms 23084 KB Output is correct
55 Correct 21 ms 17772 KB Output is correct
56 Correct 21 ms 17772 KB Output is correct
57 Correct 20 ms 17900 KB Output is correct
58 Correct 20 ms 17900 KB Output is correct
59 Correct 19 ms 17644 KB Output is correct
60 Correct 101 ms 20556 KB Output is correct
61 Correct 20 ms 17644 KB Output is correct
62 Correct 126 ms 23276 KB Output is correct
63 Correct 745 ms 65132 KB Output is correct
64 Correct 750 ms 65132 KB Output is correct
65 Correct 750 ms 65328 KB Output is correct
66 Correct 278 ms 39952 KB Output is correct
67 Correct 1234 ms 97040 KB Output is correct
68 Correct 293 ms 40848 KB Output is correct
69 Correct 426 ms 41232 KB Output is correct
70 Correct 309 ms 40848 KB Output is correct
71 Correct 317 ms 41108 KB Output is correct
72 Correct 847 ms 58512 KB Output is correct
73 Correct 870 ms 61072 KB Output is correct
74 Correct 1694 ms 103572 KB Output is correct
75 Correct 655 ms 49936 KB Output is correct
76 Correct 1102 ms 70632 KB Output is correct
77 Correct 1116 ms 70976 KB Output is correct
78 Correct 302 ms 45072 KB Output is correct
79 Correct 474 ms 50448 KB Output is correct
80 Correct 252 ms 44340 KB Output is correct
81 Correct 423 ms 47796 KB Output is correct
82 Correct 1031 ms 66344 KB Output is correct
83 Correct 1025 ms 66344 KB Output is correct
84 Correct 868 ms 69464 KB Output is correct
85 Correct 871 ms 69336 KB Output is correct
86 Correct 549 ms 71336 KB Output is correct
87 Correct 602 ms 72404 KB Output is correct
88 Correct 845 ms 59024 KB Output is correct
89 Correct 1020 ms 68008 KB Output is correct