Submission #939499

# Submission time Handle Problem Language Result Execution time Memory
939499 2024-03-06T12:05:54 Z WonderfulWhale Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
1146 ms 87468 KB
#include<bits/stdc++.h>
using namespace std;

#define int int64_t
#define pb push_back
#define pii pair<int, int>
#define st first
#define nd second
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

const int MAXN = 100'009;

int cnt[MAXN];
int p[MAXN];
int sz[MAXN];
int sum[MAXN];
vector<int> V[MAXN];
set<int> In[MAXN];
set<int> Out[MAXN];
set<int> in[MAXN];
set<int> out[MAXN];
int ans;

int Find(int x) {
	return x==p[x]?x:p[x]=Find(p[x]);
}

void Union(int a, int b) {
	a = Find(a);
	b = Find(b);
	if(a==b) return;
	ans -= sz[a]*sz(In[a]);
	ans -= sz[b]*sz(In[b]);
	ans -= sz[a]*(sz[a]-1);
	ans -= sz[b]*(sz[b]-1);
	vector<int> union_queue;
	if(sz(out[a])+sz(in[a])<sz(out[b])+sz(in[b])) swap(a, b);
	for(int x:out[b]) {
		if(x==a) continue;
		if(in[a].count(x)) {
			union_queue.pb(x);
		}
		out[a].insert(x);
		in[x].erase(b);
		in[x].insert(a);
	}
	for(int x:In[b]) {
		if(Find(x)!=a) {
			In[a].insert(x);
		}
	}
	In[b].clear();
	for(int x:V[b]) {
		In[a].erase(x);
		V[a].pb(x);
	}
	V[b].clear();
	out[b].clear();
	for(int x:in[b]) {
		if(x==a) continue;
		if(out[a].count(x)) {
			union_queue.pb(x);
		}
		in[a].insert(x);
		out[x].erase(b);
		out[x].insert(a);
	}
	in[b].clear();
	p[b] = a;
	sz[a] += sz[b];
	ans += sz[a]*(sz[a]-1);
	ans += sz[a]*sz(In[a]);
	for(int x:union_queue) {
		Union(a, x);
	}
}

int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

	int n, m;
	cin >> n >> m;
	iota(p, p+n+1, 0);
	fill(sz, sz+n+1, 1);
	for(int i=1;i<=n;i++) {
		V[i].pb(i);
	}
	for(int i=0;i<m;i++) {
		int a, b;
		cin >> a >> b;
		int A = Find(a);
		int B = Find(b);
		if(A==B) goto skip;
		out[A].insert(B);
		if(in[A].count(B)) {
			Union(A, B);
		} else {
			ans -= sz[B]*sz(In[B]);
			in[B].insert(A);
			In[B].insert(a);
			Out[a].insert(B);
			ans += sz[B]*sz(In[B]);
		}
		skip:
		cout << ans << "\n";
	}
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 23132 KB Output is correct
2 Correct 4 ms 23132 KB Output is correct
3 Correct 5 ms 23132 KB Output is correct
4 Correct 5 ms 23384 KB Output is correct
5 Correct 5 ms 23132 KB Output is correct
6 Correct 6 ms 22968 KB Output is correct
7 Correct 5 ms 23244 KB Output is correct
8 Correct 6 ms 23128 KB Output is correct
9 Correct 6 ms 23384 KB Output is correct
10 Correct 5 ms 23128 KB Output is correct
11 Correct 5 ms 23200 KB Output is correct
12 Correct 6 ms 23132 KB Output is correct
13 Correct 4 ms 23132 KB Output is correct
14 Correct 5 ms 23132 KB Output is correct
15 Correct 5 ms 23132 KB Output is correct
16 Correct 5 ms 23132 KB Output is correct
17 Correct 5 ms 23132 KB Output is correct
18 Correct 5 ms 23132 KB Output is correct
19 Correct 5 ms 23132 KB Output is correct
20 Correct 5 ms 23132 KB Output is correct
21 Correct 5 ms 23128 KB Output is correct
22 Correct 6 ms 23132 KB Output is correct
23 Correct 5 ms 23132 KB Output is correct
24 Correct 5 ms 23128 KB Output is correct
25 Correct 6 ms 23128 KB Output is correct
26 Correct 5 ms 23132 KB Output is correct
27 Correct 5 ms 23132 KB Output is correct
28 Correct 5 ms 23128 KB Output is correct
29 Correct 5 ms 23132 KB Output is correct
30 Correct 5 ms 23132 KB Output is correct
31 Correct 5 ms 23132 KB Output is correct
32 Correct 5 ms 23132 KB Output is correct
33 Correct 6 ms 23132 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 23132 KB Output is correct
2 Correct 4 ms 23132 KB Output is correct
3 Correct 5 ms 23132 KB Output is correct
4 Correct 5 ms 23384 KB Output is correct
5 Correct 5 ms 23132 KB Output is correct
6 Correct 6 ms 22968 KB Output is correct
7 Correct 5 ms 23244 KB Output is correct
8 Correct 6 ms 23128 KB Output is correct
9 Correct 6 ms 23384 KB Output is correct
10 Correct 5 ms 23128 KB Output is correct
11 Correct 5 ms 23200 KB Output is correct
12 Correct 6 ms 23132 KB Output is correct
13 Correct 4 ms 23132 KB Output is correct
14 Correct 5 ms 23132 KB Output is correct
15 Correct 5 ms 23132 KB Output is correct
16 Correct 5 ms 23132 KB Output is correct
17 Correct 5 ms 23132 KB Output is correct
18 Correct 5 ms 23132 KB Output is correct
19 Correct 5 ms 23132 KB Output is correct
20 Correct 5 ms 23132 KB Output is correct
21 Correct 5 ms 23128 KB Output is correct
22 Correct 6 ms 23132 KB Output is correct
23 Correct 5 ms 23132 KB Output is correct
24 Correct 5 ms 23128 KB Output is correct
25 Correct 6 ms 23128 KB Output is correct
26 Correct 5 ms 23132 KB Output is correct
27 Correct 5 ms 23132 KB Output is correct
28 Correct 5 ms 23128 KB Output is correct
29 Correct 5 ms 23132 KB Output is correct
30 Correct 5 ms 23132 KB Output is correct
31 Correct 5 ms 23132 KB Output is correct
32 Correct 5 ms 23132 KB Output is correct
33 Correct 6 ms 23132 KB Output is correct
34 Correct 7 ms 23388 KB Output is correct
35 Correct 60 ms 28864 KB Output is correct
36 Correct 83 ms 31816 KB Output is correct
37 Correct 81 ms 31952 KB Output is correct
38 Correct 97 ms 31512 KB Output is correct
39 Correct 8 ms 23384 KB Output is correct
40 Correct 11 ms 23644 KB Output is correct
41 Correct 9 ms 23644 KB Output is correct
42 Correct 6 ms 23388 KB Output is correct
43 Correct 7 ms 23632 KB Output is correct
44 Correct 9 ms 23388 KB Output is correct
45 Correct 7 ms 23388 KB Output is correct
46 Correct 9 ms 23388 KB Output is correct
47 Correct 11 ms 23644 KB Output is correct
48 Correct 10 ms 23644 KB Output is correct
49 Correct 17 ms 24412 KB Output is correct
50 Correct 85 ms 32052 KB Output is correct
51 Correct 12 ms 23900 KB Output is correct
52 Correct 75 ms 29780 KB Output is correct
53 Correct 13 ms 24412 KB Output is correct
54 Correct 82 ms 30956 KB Output is correct
55 Correct 9 ms 23896 KB Output is correct
56 Correct 9 ms 23900 KB Output is correct
57 Correct 9 ms 24412 KB Output is correct
58 Correct 9 ms 24412 KB Output is correct
59 Correct 10 ms 23896 KB Output is correct
60 Correct 66 ms 27668 KB Output is correct
61 Correct 9 ms 23640 KB Output is correct
62 Correct 84 ms 31316 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 23132 KB Output is correct
2 Correct 4 ms 23132 KB Output is correct
3 Correct 5 ms 23132 KB Output is correct
4 Correct 5 ms 23384 KB Output is correct
5 Correct 5 ms 23132 KB Output is correct
6 Correct 6 ms 22968 KB Output is correct
7 Correct 5 ms 23244 KB Output is correct
8 Correct 6 ms 23128 KB Output is correct
9 Correct 6 ms 23384 KB Output is correct
10 Correct 5 ms 23128 KB Output is correct
11 Correct 5 ms 23200 KB Output is correct
12 Correct 6 ms 23132 KB Output is correct
13 Correct 4 ms 23132 KB Output is correct
14 Correct 5 ms 23132 KB Output is correct
15 Correct 5 ms 23132 KB Output is correct
16 Correct 5 ms 23132 KB Output is correct
17 Correct 5 ms 23132 KB Output is correct
18 Correct 5 ms 23132 KB Output is correct
19 Correct 5 ms 23132 KB Output is correct
20 Correct 5 ms 23132 KB Output is correct
21 Correct 5 ms 23128 KB Output is correct
22 Correct 6 ms 23132 KB Output is correct
23 Correct 5 ms 23132 KB Output is correct
24 Correct 5 ms 23128 KB Output is correct
25 Correct 6 ms 23128 KB Output is correct
26 Correct 5 ms 23132 KB Output is correct
27 Correct 5 ms 23132 KB Output is correct
28 Correct 5 ms 23128 KB Output is correct
29 Correct 5 ms 23132 KB Output is correct
30 Correct 5 ms 23132 KB Output is correct
31 Correct 5 ms 23132 KB Output is correct
32 Correct 5 ms 23132 KB Output is correct
33 Correct 6 ms 23132 KB Output is correct
34 Correct 7 ms 23388 KB Output is correct
35 Correct 60 ms 28864 KB Output is correct
36 Correct 83 ms 31816 KB Output is correct
37 Correct 81 ms 31952 KB Output is correct
38 Correct 97 ms 31512 KB Output is correct
39 Correct 8 ms 23384 KB Output is correct
40 Correct 11 ms 23644 KB Output is correct
41 Correct 9 ms 23644 KB Output is correct
42 Correct 6 ms 23388 KB Output is correct
43 Correct 7 ms 23632 KB Output is correct
44 Correct 9 ms 23388 KB Output is correct
45 Correct 7 ms 23388 KB Output is correct
46 Correct 9 ms 23388 KB Output is correct
47 Correct 11 ms 23644 KB Output is correct
48 Correct 10 ms 23644 KB Output is correct
49 Correct 17 ms 24412 KB Output is correct
50 Correct 85 ms 32052 KB Output is correct
51 Correct 12 ms 23900 KB Output is correct
52 Correct 75 ms 29780 KB Output is correct
53 Correct 13 ms 24412 KB Output is correct
54 Correct 82 ms 30956 KB Output is correct
55 Correct 9 ms 23896 KB Output is correct
56 Correct 9 ms 23900 KB Output is correct
57 Correct 9 ms 24412 KB Output is correct
58 Correct 9 ms 24412 KB Output is correct
59 Correct 10 ms 23896 KB Output is correct
60 Correct 66 ms 27668 KB Output is correct
61 Correct 9 ms 23640 KB Output is correct
62 Correct 84 ms 31316 KB Output is correct
63 Correct 475 ms 87464 KB Output is correct
64 Correct 505 ms 87468 KB Output is correct
65 Correct 499 ms 87464 KB Output is correct
66 Correct 162 ms 40580 KB Output is correct
67 Correct 868 ms 58436 KB Output is correct
68 Correct 171 ms 40900 KB Output is correct
69 Correct 369 ms 44900 KB Output is correct
70 Correct 186 ms 40500 KB Output is correct
71 Correct 217 ms 40576 KB Output is correct
72 Correct 551 ms 51584 KB Output is correct
73 Correct 606 ms 52552 KB Output is correct
74 Correct 1146 ms 70148 KB Output is correct
75 Correct 449 ms 51144 KB Output is correct
76 Correct 827 ms 61100 KB Output is correct
77 Correct 768 ms 61384 KB Output is correct
78 Correct 229 ms 47836 KB Output is correct
79 Correct 307 ms 51652 KB Output is correct
80 Correct 221 ms 47940 KB Output is correct
81 Correct 397 ms 51136 KB Output is correct
82 Correct 674 ms 68296 KB Output is correct
83 Correct 639 ms 68228 KB Output is correct
84 Correct 622 ms 86904 KB Output is correct
85 Correct 606 ms 86724 KB Output is correct
86 Correct 845 ms 62528 KB Output is correct
87 Correct 837 ms 64200 KB Output is correct
88 Correct 550 ms 51796 KB Output is correct
89 Correct 691 ms 58860 KB Output is correct