Submission #348316

# Submission time Handle Problem Language Result Execution time Memory
348316 2021-01-14T15:12:11 Z 8e7 Making Friends on Joitter is Fun (JOI20_joitter2) C++14
100 / 100
1234 ms 69228 KB
//Challenge: Accepted
#include <iostream>
#include <algorithm>
#include <vector>
#include <utility>
#include <set>
#include <queue>
#define maxn 100005
#define ll long long
using namespace std;
set<int> adj[maxn], rev[maxn], chi[maxn];
int par[maxn];
ll siz[maxn], cnt[maxn];
ll ans = 0;
inline int find(int a) {
	return a == par[a] ? a : par[a] = find(par[a]);
}
void Union(int a, int b) {
	a = find(a), b = find(b);
	if (a == b) return;
	par[b] = a;
	siz[a] += siz[b];
}
void addEdge(int a, int b);
queue<pair<int, int> > que;
void combine(int a, int b) {
	//cout << a << "  " << b << endl;
	if (find(a) == find(b)) return;
	a = find(a), b = find(b);
	if (adj[a].size() + rev[a].size() + chi[a].size() < adj[b].size() + rev[b].size() + chi[b].size()) swap(a, b);
	//cout << a << "  " << b << endl;
	//cout << siz[a] << " " << chi[b].size() << " " << siz[b] << " " << chi[a].size()<< endl;

	ans += siz[a] * (chi[b].size()) + siz[b] * (chi[a].size());
	adj[a].erase(b);rev[b].erase(a);
	adj[b].erase(a);rev[a].erase(b);
	Union(a, b);
	for (int c:chi[b]) {
		if (chi[a].count(c)) ans -= siz[a];
		else chi[a].insert(c);
	}

	for (int v:adj[b]) {
		rev[v].erase(b);
		addEdge(a, v);
	}
	for (int v:rev[b]) {
		adj[v].erase(b);
		addEdge(v, a);
	}
	adj[b].clear(), rev[b].clear();
	//cnt[a] = rev[a].size();
	//cout << cnt[a] - ob << " " << siz[b] << " " << cnt[a] - oa << " " << siz[a] << endl;
}

void addEdge(int a, int b) {
	adj[a].insert(b);
	rev[b].insert(a);
	if (rev[a].count(b)) {
		que.push(make_pair(a, b));
	}
}
int main() {
	ios_base::sync_with_stdio(0);cin.tie(0);
	int n, m;
	cin >> n >> m;
	for (int i = 1;i <= n;i++) {
		par[i] = i, siz[i] = 1;
		chi[i].insert(i);
	}
	for (int i = 0;i < m;i++) {
		int a, b;
		cin >> a >> b;
		b = find(b);
		if (find(a) == find(b) || chi[b].count(a)) {
			cout << ans << "\n";
			continue;
		}
		chi[b].insert(a);

		a = find(a);
		ans += siz[b];
		addEdge(a, b);
		while (que.size()) {
			combine(que.front().first, que.front().second);
			que.pop();
		}
		cout << ans << "\n";
	}
}
/*
4 6
1 2
2 3
3 2
1 3
3 4
4 3

 */
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14444 KB Output is correct
2 Correct 9 ms 14444 KB Output is correct
3 Correct 9 ms 14444 KB Output is correct
4 Correct 9 ms 14444 KB Output is correct
5 Correct 10 ms 14444 KB Output is correct
6 Correct 10 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14572 KB Output is correct
9 Correct 10 ms 14572 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct
13 Correct 9 ms 14444 KB Output is correct
14 Correct 11 ms 14444 KB Output is correct
15 Correct 10 ms 14444 KB Output is correct
16 Correct 10 ms 14444 KB Output is correct
17 Correct 9 ms 14444 KB Output is correct
18 Correct 10 ms 14444 KB Output is correct
19 Correct 10 ms 14444 KB Output is correct
20 Correct 10 ms 14444 KB Output is correct
21 Correct 10 ms 14572 KB Output is correct
22 Correct 10 ms 14464 KB Output is correct
23 Correct 10 ms 14444 KB Output is correct
24 Correct 10 ms 14444 KB Output is correct
25 Correct 12 ms 14720 KB Output is correct
26 Correct 11 ms 14444 KB Output is correct
27 Correct 10 ms 14444 KB Output is correct
28 Correct 9 ms 14444 KB Output is correct
29 Correct 11 ms 14464 KB Output is correct
30 Correct 10 ms 14444 KB Output is correct
31 Correct 10 ms 14444 KB Output is correct
32 Correct 10 ms 14464 KB Output is correct
33 Correct 10 ms 14444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14444 KB Output is correct
2 Correct 9 ms 14444 KB Output is correct
3 Correct 9 ms 14444 KB Output is correct
4 Correct 9 ms 14444 KB Output is correct
5 Correct 10 ms 14444 KB Output is correct
6 Correct 10 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14572 KB Output is correct
9 Correct 10 ms 14572 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct
13 Correct 9 ms 14444 KB Output is correct
14 Correct 11 ms 14444 KB Output is correct
15 Correct 10 ms 14444 KB Output is correct
16 Correct 10 ms 14444 KB Output is correct
17 Correct 9 ms 14444 KB Output is correct
18 Correct 10 ms 14444 KB Output is correct
19 Correct 10 ms 14444 KB Output is correct
20 Correct 10 ms 14444 KB Output is correct
21 Correct 10 ms 14572 KB Output is correct
22 Correct 10 ms 14464 KB Output is correct
23 Correct 10 ms 14444 KB Output is correct
24 Correct 10 ms 14444 KB Output is correct
25 Correct 12 ms 14720 KB Output is correct
26 Correct 11 ms 14444 KB Output is correct
27 Correct 10 ms 14444 KB Output is correct
28 Correct 9 ms 14444 KB Output is correct
29 Correct 11 ms 14464 KB Output is correct
30 Correct 10 ms 14444 KB Output is correct
31 Correct 10 ms 14444 KB Output is correct
32 Correct 10 ms 14464 KB Output is correct
33 Correct 10 ms 14444 KB Output is correct
34 Correct 12 ms 14572 KB Output is correct
35 Correct 103 ms 20388 KB Output is correct
36 Correct 139 ms 23024 KB Output is correct
37 Correct 134 ms 23148 KB Output is correct
38 Correct 131 ms 22764 KB Output is correct
39 Correct 13 ms 14828 KB Output is correct
40 Correct 14 ms 15084 KB Output is correct
41 Correct 14 ms 15084 KB Output is correct
42 Correct 12 ms 14828 KB Output is correct
43 Correct 14 ms 14828 KB Output is correct
44 Correct 14 ms 14828 KB Output is correct
45 Correct 13 ms 14828 KB Output is correct
46 Correct 12 ms 14828 KB Output is correct
47 Correct 14 ms 14956 KB Output is correct
48 Correct 14 ms 14956 KB Output is correct
49 Correct 22 ms 15596 KB Output is correct
50 Correct 135 ms 23148 KB Output is correct
51 Correct 17 ms 15084 KB Output is correct
52 Correct 115 ms 21484 KB Output is correct
53 Correct 21 ms 15468 KB Output is correct
54 Correct 122 ms 22252 KB Output is correct
55 Correct 15 ms 15212 KB Output is correct
56 Correct 16 ms 15212 KB Output is correct
57 Correct 15 ms 15212 KB Output is correct
58 Correct 18 ms 15212 KB Output is correct
59 Correct 16 ms 15212 KB Output is correct
60 Correct 98 ms 20204 KB Output is correct
61 Correct 15 ms 14956 KB Output is correct
62 Correct 124 ms 22712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14444 KB Output is correct
2 Correct 9 ms 14444 KB Output is correct
3 Correct 9 ms 14444 KB Output is correct
4 Correct 9 ms 14444 KB Output is correct
5 Correct 10 ms 14444 KB Output is correct
6 Correct 10 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14572 KB Output is correct
9 Correct 10 ms 14572 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct
13 Correct 9 ms 14444 KB Output is correct
14 Correct 11 ms 14444 KB Output is correct
15 Correct 10 ms 14444 KB Output is correct
16 Correct 10 ms 14444 KB Output is correct
17 Correct 9 ms 14444 KB Output is correct
18 Correct 10 ms 14444 KB Output is correct
19 Correct 10 ms 14444 KB Output is correct
20 Correct 10 ms 14444 KB Output is correct
21 Correct 10 ms 14572 KB Output is correct
22 Correct 10 ms 14464 KB Output is correct
23 Correct 10 ms 14444 KB Output is correct
24 Correct 10 ms 14444 KB Output is correct
25 Correct 12 ms 14720 KB Output is correct
26 Correct 11 ms 14444 KB Output is correct
27 Correct 10 ms 14444 KB Output is correct
28 Correct 9 ms 14444 KB Output is correct
29 Correct 11 ms 14464 KB Output is correct
30 Correct 10 ms 14444 KB Output is correct
31 Correct 10 ms 14444 KB Output is correct
32 Correct 10 ms 14464 KB Output is correct
33 Correct 10 ms 14444 KB Output is correct
34 Correct 12 ms 14572 KB Output is correct
35 Correct 103 ms 20388 KB Output is correct
36 Correct 139 ms 23024 KB Output is correct
37 Correct 134 ms 23148 KB Output is correct
38 Correct 131 ms 22764 KB Output is correct
39 Correct 13 ms 14828 KB Output is correct
40 Correct 14 ms 15084 KB Output is correct
41 Correct 14 ms 15084 KB Output is correct
42 Correct 12 ms 14828 KB Output is correct
43 Correct 14 ms 14828 KB Output is correct
44 Correct 14 ms 14828 KB Output is correct
45 Correct 13 ms 14828 KB Output is correct
46 Correct 12 ms 14828 KB Output is correct
47 Correct 14 ms 14956 KB Output is correct
48 Correct 14 ms 14956 KB Output is correct
49 Correct 22 ms 15596 KB Output is correct
50 Correct 135 ms 23148 KB Output is correct
51 Correct 17 ms 15084 KB Output is correct
52 Correct 115 ms 21484 KB Output is correct
53 Correct 21 ms 15468 KB Output is correct
54 Correct 122 ms 22252 KB Output is correct
55 Correct 15 ms 15212 KB Output is correct
56 Correct 16 ms 15212 KB Output is correct
57 Correct 15 ms 15212 KB Output is correct
58 Correct 18 ms 15212 KB Output is correct
59 Correct 16 ms 15212 KB Output is correct
60 Correct 98 ms 20204 KB Output is correct
61 Correct 15 ms 14956 KB Output is correct
62 Correct 124 ms 22712 KB Output is correct
63 Correct 630 ms 68460 KB Output is correct
64 Correct 621 ms 68076 KB Output is correct
65 Correct 633 ms 68180 KB Output is correct
66 Correct 289 ms 34284 KB Output is correct
67 Correct 552 ms 57964 KB Output is correct
68 Correct 276 ms 34156 KB Output is correct
69 Correct 632 ms 35308 KB Output is correct
70 Correct 358 ms 34156 KB Output is correct
71 Correct 315 ms 34156 KB Output is correct
72 Correct 570 ms 42436 KB Output is correct
73 Correct 606 ms 43992 KB Output is correct
74 Correct 1234 ms 57192 KB Output is correct
75 Correct 761 ms 40836 KB Output is correct
76 Correct 961 ms 49004 KB Output is correct
77 Correct 997 ms 49196 KB Output is correct
78 Correct 288 ms 36716 KB Output is correct
79 Correct 519 ms 40940 KB Output is correct
80 Correct 290 ms 35436 KB Output is correct
81 Correct 496 ms 39020 KB Output is correct
82 Correct 1066 ms 52392 KB Output is correct
83 Correct 1071 ms 52448 KB Output is correct
84 Correct 809 ms 52076 KB Output is correct
85 Correct 823 ms 52204 KB Output is correct
86 Correct 420 ms 66960 KB Output is correct
87 Correct 440 ms 69228 KB Output is correct
88 Correct 603 ms 43244 KB Output is correct
89 Correct 959 ms 47348 KB Output is correct