Submission #939500

# Submission time Handle Problem Language Result Execution time Memory
939500 2024-03-06T12:07:43 Z WonderfulWhale Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
896 ms 71452 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> 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);
			ans += sz[B]*sz(In[B]);
		}
		skip:
		cout << ans << "\n";
	}
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 19032 KB Output is correct
2 Correct 4 ms 19036 KB Output is correct
3 Correct 4 ms 19036 KB Output is correct
4 Correct 4 ms 19056 KB Output is correct
5 Correct 4 ms 19096 KB Output is correct
6 Correct 4 ms 19036 KB Output is correct
7 Correct 4 ms 19036 KB Output is correct
8 Correct 5 ms 19036 KB Output is correct
9 Correct 5 ms 19036 KB Output is correct
10 Correct 4 ms 19036 KB Output is correct
11 Correct 5 ms 19036 KB Output is correct
12 Correct 5 ms 19036 KB Output is correct
13 Correct 4 ms 19036 KB Output is correct
14 Correct 4 ms 19036 KB Output is correct
15 Correct 4 ms 19036 KB Output is correct
16 Correct 4 ms 19036 KB Output is correct
17 Correct 4 ms 19036 KB Output is correct
18 Correct 4 ms 19036 KB Output is correct
19 Correct 4 ms 19032 KB Output is correct
20 Correct 5 ms 19036 KB Output is correct
21 Correct 4 ms 19036 KB Output is correct
22 Correct 4 ms 19036 KB Output is correct
23 Correct 4 ms 19116 KB Output is correct
24 Correct 4 ms 19036 KB Output is correct
25 Correct 4 ms 19036 KB Output is correct
26 Correct 4 ms 19036 KB Output is correct
27 Correct 4 ms 19036 KB Output is correct
28 Correct 4 ms 19036 KB Output is correct
29 Correct 4 ms 19032 KB Output is correct
30 Correct 4 ms 19036 KB Output is correct
31 Correct 5 ms 19036 KB Output is correct
32 Correct 5 ms 19036 KB Output is correct
33 Correct 5 ms 18884 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 19032 KB Output is correct
2 Correct 4 ms 19036 KB Output is correct
3 Correct 4 ms 19036 KB Output is correct
4 Correct 4 ms 19056 KB Output is correct
5 Correct 4 ms 19096 KB Output is correct
6 Correct 4 ms 19036 KB Output is correct
7 Correct 4 ms 19036 KB Output is correct
8 Correct 5 ms 19036 KB Output is correct
9 Correct 5 ms 19036 KB Output is correct
10 Correct 4 ms 19036 KB Output is correct
11 Correct 5 ms 19036 KB Output is correct
12 Correct 5 ms 19036 KB Output is correct
13 Correct 4 ms 19036 KB Output is correct
14 Correct 4 ms 19036 KB Output is correct
15 Correct 4 ms 19036 KB Output is correct
16 Correct 4 ms 19036 KB Output is correct
17 Correct 4 ms 19036 KB Output is correct
18 Correct 4 ms 19036 KB Output is correct
19 Correct 4 ms 19032 KB Output is correct
20 Correct 5 ms 19036 KB Output is correct
21 Correct 4 ms 19036 KB Output is correct
22 Correct 4 ms 19036 KB Output is correct
23 Correct 4 ms 19116 KB Output is correct
24 Correct 4 ms 19036 KB Output is correct
25 Correct 4 ms 19036 KB Output is correct
26 Correct 4 ms 19036 KB Output is correct
27 Correct 4 ms 19036 KB Output is correct
28 Correct 4 ms 19036 KB Output is correct
29 Correct 4 ms 19032 KB Output is correct
30 Correct 4 ms 19036 KB Output is correct
31 Correct 5 ms 19036 KB Output is correct
32 Correct 5 ms 19036 KB Output is correct
33 Correct 5 ms 18884 KB Output is correct
34 Correct 6 ms 19032 KB Output is correct
35 Correct 55 ms 22608 KB Output is correct
36 Correct 73 ms 25172 KB Output is correct
37 Correct 73 ms 25168 KB Output is correct
38 Correct 74 ms 24916 KB Output is correct
39 Correct 6 ms 19288 KB Output is correct
40 Correct 8 ms 19548 KB Output is correct
41 Correct 10 ms 19556 KB Output is correct
42 Correct 5 ms 19292 KB Output is correct
43 Correct 6 ms 19288 KB Output is correct
44 Correct 7 ms 19292 KB Output is correct
45 Correct 5 ms 19292 KB Output is correct
46 Correct 5 ms 19292 KB Output is correct
47 Correct 7 ms 19300 KB Output is correct
48 Correct 7 ms 19292 KB Output is correct
49 Correct 11 ms 19940 KB Output is correct
50 Correct 76 ms 25148 KB Output is correct
51 Correct 8 ms 19552 KB Output is correct
52 Correct 72 ms 23880 KB Output is correct
53 Correct 11 ms 20260 KB Output is correct
54 Correct 70 ms 24428 KB Output is correct
55 Correct 7 ms 19548 KB Output is correct
56 Correct 8 ms 19780 KB Output is correct
57 Correct 8 ms 20152 KB Output is correct
58 Correct 9 ms 20060 KB Output is correct
59 Correct 9 ms 19548 KB Output is correct
60 Correct 63 ms 22008 KB Output is correct
61 Correct 8 ms 19292 KB Output is correct
62 Correct 88 ms 24548 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 19032 KB Output is correct
2 Correct 4 ms 19036 KB Output is correct
3 Correct 4 ms 19036 KB Output is correct
4 Correct 4 ms 19056 KB Output is correct
5 Correct 4 ms 19096 KB Output is correct
6 Correct 4 ms 19036 KB Output is correct
7 Correct 4 ms 19036 KB Output is correct
8 Correct 5 ms 19036 KB Output is correct
9 Correct 5 ms 19036 KB Output is correct
10 Correct 4 ms 19036 KB Output is correct
11 Correct 5 ms 19036 KB Output is correct
12 Correct 5 ms 19036 KB Output is correct
13 Correct 4 ms 19036 KB Output is correct
14 Correct 4 ms 19036 KB Output is correct
15 Correct 4 ms 19036 KB Output is correct
16 Correct 4 ms 19036 KB Output is correct
17 Correct 4 ms 19036 KB Output is correct
18 Correct 4 ms 19036 KB Output is correct
19 Correct 4 ms 19032 KB Output is correct
20 Correct 5 ms 19036 KB Output is correct
21 Correct 4 ms 19036 KB Output is correct
22 Correct 4 ms 19036 KB Output is correct
23 Correct 4 ms 19116 KB Output is correct
24 Correct 4 ms 19036 KB Output is correct
25 Correct 4 ms 19036 KB Output is correct
26 Correct 4 ms 19036 KB Output is correct
27 Correct 4 ms 19036 KB Output is correct
28 Correct 4 ms 19036 KB Output is correct
29 Correct 4 ms 19032 KB Output is correct
30 Correct 4 ms 19036 KB Output is correct
31 Correct 5 ms 19036 KB Output is correct
32 Correct 5 ms 19036 KB Output is correct
33 Correct 5 ms 18884 KB Output is correct
34 Correct 6 ms 19032 KB Output is correct
35 Correct 55 ms 22608 KB Output is correct
36 Correct 73 ms 25172 KB Output is correct
37 Correct 73 ms 25168 KB Output is correct
38 Correct 74 ms 24916 KB Output is correct
39 Correct 6 ms 19288 KB Output is correct
40 Correct 8 ms 19548 KB Output is correct
41 Correct 10 ms 19556 KB Output is correct
42 Correct 5 ms 19292 KB Output is correct
43 Correct 6 ms 19288 KB Output is correct
44 Correct 7 ms 19292 KB Output is correct
45 Correct 5 ms 19292 KB Output is correct
46 Correct 5 ms 19292 KB Output is correct
47 Correct 7 ms 19300 KB Output is correct
48 Correct 7 ms 19292 KB Output is correct
49 Correct 11 ms 19940 KB Output is correct
50 Correct 76 ms 25148 KB Output is correct
51 Correct 8 ms 19552 KB Output is correct
52 Correct 72 ms 23880 KB Output is correct
53 Correct 11 ms 20260 KB Output is correct
54 Correct 70 ms 24428 KB Output is correct
55 Correct 7 ms 19548 KB Output is correct
56 Correct 8 ms 19780 KB Output is correct
57 Correct 8 ms 20152 KB Output is correct
58 Correct 9 ms 20060 KB Output is correct
59 Correct 9 ms 19548 KB Output is correct
60 Correct 63 ms 22008 KB Output is correct
61 Correct 8 ms 19292 KB Output is correct
62 Correct 88 ms 24548 KB Output is correct
63 Correct 382 ms 66632 KB Output is correct
64 Correct 383 ms 66388 KB Output is correct
65 Correct 397 ms 66668 KB Output is correct
66 Correct 125 ms 29888 KB Output is correct
67 Correct 671 ms 47748 KB Output is correct
68 Correct 126 ms 29888 KB Output is correct
69 Correct 245 ms 34820 KB Output is correct
70 Correct 121 ms 29900 KB Output is correct
71 Correct 122 ms 29848 KB Output is correct
72 Correct 471 ms 41268 KB Output is correct
73 Correct 500 ms 41928 KB Output is correct
74 Correct 896 ms 54596 KB Output is correct
75 Correct 350 ms 38848 KB Output is correct
76 Correct 615 ms 46960 KB Output is correct
77 Correct 611 ms 47300 KB Output is correct
78 Correct 167 ms 35784 KB Output is correct
79 Correct 249 ms 38116 KB Output is correct
80 Correct 160 ms 35976 KB Output is correct
81 Correct 255 ms 37960 KB Output is correct
82 Correct 520 ms 52864 KB Output is correct
83 Correct 521 ms 52900 KB Output is correct
84 Correct 500 ms 71432 KB Output is correct
85 Correct 522 ms 71452 KB Output is correct
86 Correct 689 ms 51976 KB Output is correct
87 Correct 743 ms 53172 KB Output is correct
88 Correct 463 ms 41188 KB Output is correct
89 Correct 566 ms 45100 KB Output is correct