Submission #248540

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
248540	2020-07-12T16:42:08 Z	maximath_1	Duathlon (APIO18_duathlon)	C++11	49 / 100	1000 ms	1048580 KB

count_triplets

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

#define ll long long

int n, m, tin[100005], low[100005];
vector<int> adj[100005], adj_bcc[100005];
vector<int> euler_tour;
int bcc_id = 0, tim = 1, cnt = 0;
ll sz[200005], ans;

void dfs(int nw, int bf){
	tin[nw] = low[nw] = tim ++;
	euler_tour.push_back(nw);
	if(euler_tour.size() > 100069 * 2){
		cout << "do wa instead\n";
		exit(0);
	}
	cnt ++;

	for(int nx : adj[nw]) if(nx != bf){
//		cout << nx << " " << nw << " " << tin[nx] << " " << low[nx] << endl;
		if(tin[nx] == 0){
//			cout << "hi\n";
			dfs(nx, nw);
			low[nw] = min(low[nw], low[nx]);
			if(low[nx] >= tin[nw]){
				adj_bcc[nw].push_back(bcc_id);
				while(adj_bcc[bcc_id].empty() || adj_bcc[bcc_id].back() != nx){
					adj_bcc[bcc_id].push_back(euler_tour.back());
					euler_tour.pop_back();
				}
				bcc_id ++;
			}
		}else{
//			cout << "hey\n";
			low[nw] = min(low[nw], tin[nx]);
		}
	}
}

void exc(int nw){
	sz[nw] = (nw < n);
	for(int nx : adj_bcc[nw]){
		exc(nx);
		sz[nw] += sz[nx];
		if(nw >= n)
			ans -= sz[nx] * 1ll * (sz[nx] - 1) * 1ll * (ll)adj_bcc[nw].size();
	}

	if(nw >= n)
		ans -= (cnt - sz[nw]) * 1ll * (cnt - sz[nw] - 1) * 1ll * (ll)adj_bcc[nw].size();
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);

	cin >> n >> m;
	for(int u, v, i = 0; i < m; i ++){
		cin >> u >> v;
		u --; v --;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}

	bcc_id = n;
	for(int i = 0; i < n; i ++) if(tin[i] == 0){
		cnt = 0;
		dfs(i, -1);
		ans += cnt * 1ll * (cnt - 1) * 1ll * (cnt - 2);
		exc(i);
	}

	cout << ans << endl;
}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4992 KB	Output is correct
2	Correct	3 ms	4992 KB	Output is correct
3	Correct	3 ms	4992 KB	Output is correct
4	Correct	3 ms	4992 KB	Output is correct
5	Correct	4 ms	4992 KB	Output is correct
6	Correct	4 ms	4992 KB	Output is correct
7	Correct	3 ms	4992 KB	Output is correct
8	Correct	3 ms	4992 KB	Output is correct
9	Correct	4 ms	4992 KB	Output is correct
10	Correct	3 ms	4992 KB	Output is correct
11	Correct	3 ms	4992 KB	Output is correct
12	Correct	3 ms	4992 KB	Output is correct
13	Correct	3 ms	4992 KB	Output is correct
14	Correct	3 ms	4992 KB	Output is correct
15	Correct	3 ms	4992 KB	Output is correct
16	Correct	3 ms	4992 KB	Output is correct
17	Correct	3 ms	4992 KB	Output is correct
18	Correct	3 ms	4992 KB	Output is correct
19	Correct	3 ms	4992 KB	Output is correct
20	Correct	3 ms	4992 KB	Output is correct
21	Correct	3 ms	5120 KB	Output is correct
22	Correct	3 ms	4992 KB	Output is correct
23	Correct	3 ms	4992 KB	Output is correct
24	Correct	3 ms	4992 KB	Output is correct
25	Correct	3 ms	4992 KB	Output is correct
26	Correct	4 ms	4992 KB	Output is correct
27	Correct	3 ms	4992 KB	Output is correct
28	Correct	3 ms	4992 KB	Output is correct
29	Correct	3 ms	4992 KB	Output is correct
30	Correct	4 ms	4992 KB	Output is correct
31	Correct	4 ms	4992 KB	Output is correct
32	Correct	3 ms	4992 KB	Output is correct
33	Correct	3 ms	4992 KB	Output is correct
34	Correct	3 ms	4992 KB	Output is correct
35	Correct	5 ms	4992 KB	Output is correct

Subtask #2
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4992 KB	Output is correct
2	Correct	3 ms	4992 KB	Output is correct
3	Correct	3 ms	4992 KB	Output is correct
4	Correct	3 ms	4992 KB	Output is correct
5	Correct	4 ms	4992 KB	Output is correct
6	Correct	4 ms	4992 KB	Output is correct
7	Correct	3 ms	4992 KB	Output is correct
8	Correct	3 ms	4992 KB	Output is correct
9	Correct	4 ms	4992 KB	Output is correct
10	Correct	3 ms	4992 KB	Output is correct
11	Correct	3 ms	4992 KB	Output is correct
12	Correct	3 ms	4992 KB	Output is correct
13	Correct	3 ms	4992 KB	Output is correct
14	Correct	3 ms	4992 KB	Output is correct
15	Correct	3 ms	4992 KB	Output is correct
16	Correct	3 ms	4992 KB	Output is correct
17	Correct	3 ms	4992 KB	Output is correct
18	Correct	3 ms	4992 KB	Output is correct
19	Correct	3 ms	4992 KB	Output is correct
20	Correct	3 ms	4992 KB	Output is correct
21	Correct	3 ms	5120 KB	Output is correct
22	Correct	3 ms	4992 KB	Output is correct
23	Correct	3 ms	4992 KB	Output is correct
24	Correct	3 ms	4992 KB	Output is correct
25	Correct	3 ms	4992 KB	Output is correct
26	Correct	4 ms	4992 KB	Output is correct
27	Correct	3 ms	4992 KB	Output is correct
28	Correct	3 ms	4992 KB	Output is correct
29	Correct	3 ms	4992 KB	Output is correct
30	Correct	4 ms	4992 KB	Output is correct
31	Correct	4 ms	4992 KB	Output is correct
32	Correct	3 ms	4992 KB	Output is correct
33	Correct	3 ms	4992 KB	Output is correct
34	Correct	3 ms	4992 KB	Output is correct
35	Correct	5 ms	4992 KB	Output is correct
36	Correct	3 ms	5120 KB	Output is correct
37	Correct	3 ms	4992 KB	Output is correct
38	Correct	3 ms	4992 KB	Output is correct
39	Correct	3 ms	4992 KB	Output is correct
40	Correct	3 ms	4992 KB	Output is correct
41	Correct	4 ms	4992 KB	Output is correct
42	Correct	3 ms	4992 KB	Output is correct
43	Correct	3 ms	4992 KB	Output is correct
44	Correct	3 ms	4992 KB	Output is correct
45	Correct	3 ms	4992 KB	Output is correct
46	Correct	3 ms	4992 KB	Output is correct
47	Correct	3 ms	4992 KB	Output is correct
48	Correct	3 ms	4992 KB	Output is correct
49	Correct	3 ms	4992 KB	Output is correct
50	Correct	3 ms	4992 KB	Output is correct
51	Correct	3 ms	4992 KB	Output is correct
52	Correct	4 ms	4992 KB	Output is correct
53	Correct	3 ms	4992 KB	Output is correct
54	Correct	3 ms	4992 KB	Output is correct
55	Correct	4 ms	4992 KB	Output is correct
56	Correct	3 ms	4992 KB	Output is correct
57	Correct	3 ms	4992 KB	Output is correct
58	Correct	4 ms	5120 KB	Output is correct
59	Correct	4 ms	4992 KB	Output is correct
60	Correct	3 ms	4992 KB	Output is correct
61	Correct	3 ms	5120 KB	Output is correct
62	Correct	3 ms	4992 KB	Output is correct
63	Correct	3 ms	4992 KB	Output is correct
64	Correct	3 ms	5120 KB	Output is correct
65	Correct	3 ms	4992 KB	Output is correct

Subtask #3
0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	77 ms	18160 KB	Output is correct
2	Correct	82 ms	18160 KB	Output is correct
3	Execution timed out	1087 ms	14964 KB	Time limit exceeded
4	Halted	0 ms	0 KB	-

Subtask #4
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	5120 KB	Output is correct
2	Correct	3 ms	5120 KB	Output is correct
3	Correct	3 ms	5120 KB	Output is correct
4	Correct	4 ms	5248 KB	Output is correct
5	Correct	3 ms	5248 KB	Output is correct
6	Correct	4 ms	5248 KB	Output is correct
7	Correct	3 ms	5248 KB	Output is correct
8	Correct	3 ms	5248 KB	Output is correct
9	Correct	4 ms	5248 KB	Output is correct
10	Correct	4 ms	5120 KB	Output is correct
11	Correct	4 ms	5120 KB	Output is correct
12	Correct	4 ms	5120 KB	Output is correct
13	Correct	3 ms	5120 KB	Output is correct
14	Correct	4 ms	5120 KB	Output is correct
15	Correct	3 ms	5120 KB	Output is correct
16	Correct	3 ms	5120 KB	Output is correct
17	Correct	3 ms	5120 KB	Output is correct
18	Correct	4 ms	5120 KB	Output is correct
19	Correct	3 ms	5120 KB	Output is correct
20	Correct	3 ms	5120 KB	Output is correct

Subtask #5
0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Runtime error	575 ms	1048580 KB	Execution killed with signal 9 (could be triggered by violating memory limits)
2	Halted	0 ms	0 KB	-

Subtask #6
15.0 / 15.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	5120 KB	Output is correct
2	Correct	4 ms	5120 KB	Output is correct
3	Correct	4 ms	5120 KB	Output is correct
4	Correct	4 ms	5120 KB	Output is correct
5	Correct	4 ms	5120 KB	Output is correct
6	Correct	5 ms	5120 KB	Output is correct
7	Correct	5 ms	5120 KB	Output is correct
8	Correct	4 ms	5120 KB	Output is correct
9	Correct	4 ms	5120 KB	Output is correct
10	Correct	4 ms	5120 KB	Output is correct
11	Correct	4 ms	5120 KB	Output is correct
12	Correct	4 ms	5248 KB	Output is correct
13	Correct	3 ms	5248 KB	Output is correct
14	Correct	4 ms	5248 KB	Output is correct
15	Correct	3 ms	5248 KB	Output is correct
16	Correct	4 ms	5120 KB	Output is correct
17	Correct	3 ms	5120 KB	Output is correct
18	Correct	3 ms	5120 KB	Output is correct
19	Correct	3 ms	5120 KB	Output is correct
20	Correct	3 ms	5120 KB	Output is correct
21	Correct	3 ms	5120 KB	Output is correct
22	Correct	3 ms	5120 KB	Output is correct
23	Correct	3 ms	5120 KB	Output is correct
24	Correct	4 ms	5120 KB	Output is correct
25	Correct	3 ms	5120 KB	Output is correct
26	Correct	4 ms	5120 KB	Output is correct
27	Correct	3 ms	5120 KB	Output is correct

Subtask #7
0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Runtime error	548 ms	1048580 KB	Execution killed with signal 9 (could be triggered by violating memory limits)
2	Halted	0 ms	0 KB	-

Subtask #8
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4992 KB	Output is correct
2	Correct	3 ms	4992 KB	Output is correct
3	Correct	3 ms	4992 KB	Output is correct
4	Correct	3 ms	4992 KB	Output is correct
5	Correct	4 ms	4992 KB	Output is correct
6	Correct	4 ms	4992 KB	Output is correct
7	Correct	3 ms	4992 KB	Output is correct
8	Correct	3 ms	4992 KB	Output is correct
9	Correct	4 ms	4992 KB	Output is correct
10	Correct	3 ms	4992 KB	Output is correct
11	Correct	3 ms	4992 KB	Output is correct
12	Correct	3 ms	4992 KB	Output is correct
13	Correct	3 ms	4992 KB	Output is correct
14	Correct	3 ms	4992 KB	Output is correct
15	Correct	3 ms	4992 KB	Output is correct
16	Correct	3 ms	4992 KB	Output is correct
17	Correct	3 ms	4992 KB	Output is correct
18	Correct	3 ms	4992 KB	Output is correct
19	Correct	3 ms	4992 KB	Output is correct
20	Correct	3 ms	4992 KB	Output is correct
21	Correct	3 ms	5120 KB	Output is correct
22	Correct	3 ms	4992 KB	Output is correct
23	Correct	3 ms	4992 KB	Output is correct
24	Correct	3 ms	4992 KB	Output is correct
25	Correct	3 ms	4992 KB	Output is correct
26	Correct	4 ms	4992 KB	Output is correct
27	Correct	3 ms	4992 KB	Output is correct
28	Correct	3 ms	4992 KB	Output is correct
29	Correct	3 ms	4992 KB	Output is correct
30	Correct	4 ms	4992 KB	Output is correct
31	Correct	4 ms	4992 KB	Output is correct
32	Correct	3 ms	4992 KB	Output is correct
33	Correct	3 ms	4992 KB	Output is correct
34	Correct	3 ms	4992 KB	Output is correct
35	Correct	5 ms	4992 KB	Output is correct
36	Correct	3 ms	5120 KB	Output is correct
37	Correct	3 ms	4992 KB	Output is correct
38	Correct	3 ms	4992 KB	Output is correct
39	Correct	3 ms	4992 KB	Output is correct
40	Correct	3 ms	4992 KB	Output is correct
41	Correct	4 ms	4992 KB	Output is correct
42	Correct	3 ms	4992 KB	Output is correct
43	Correct	3 ms	4992 KB	Output is correct
44	Correct	3 ms	4992 KB	Output is correct
45	Correct	3 ms	4992 KB	Output is correct
46	Correct	3 ms	4992 KB	Output is correct
47	Correct	3 ms	4992 KB	Output is correct
48	Correct	3 ms	4992 KB	Output is correct
49	Correct	3 ms	4992 KB	Output is correct
50	Correct	3 ms	4992 KB	Output is correct
51	Correct	3 ms	4992 KB	Output is correct
52	Correct	4 ms	4992 KB	Output is correct
53	Correct	3 ms	4992 KB	Output is correct
54	Correct	3 ms	4992 KB	Output is correct
55	Correct	4 ms	4992 KB	Output is correct
56	Correct	3 ms	4992 KB	Output is correct
57	Correct	3 ms	4992 KB	Output is correct
58	Correct	4 ms	5120 KB	Output is correct
59	Correct	4 ms	4992 KB	Output is correct
60	Correct	3 ms	4992 KB	Output is correct
61	Correct	3 ms	5120 KB	Output is correct
62	Correct	3 ms	4992 KB	Output is correct
63	Correct	3 ms	4992 KB	Output is correct
64	Correct	3 ms	5120 KB	Output is correct
65	Correct	3 ms	4992 KB	Output is correct
66	Correct	3 ms	5120 KB	Output is correct
67	Correct	5 ms	5120 KB	Output is correct
68	Correct	4 ms	5120 KB	Output is correct
69	Correct	4 ms	5120 KB	Output is correct
70	Correct	4 ms	5120 KB	Output is correct
71	Correct	3 ms	5120 KB	Output is correct
72	Correct	4 ms	5120 KB	Output is correct
73	Correct	3 ms	5120 KB	Output is correct
74	Correct	4 ms	5120 KB	Output is correct
75	Correct	4 ms	4992 KB	Output is correct
76	Correct	3 ms	4992 KB	Output is correct
77	Correct	3 ms	5120 KB	Output is correct
78	Correct	4 ms	5120 KB	Output is correct
79	Correct	4 ms	5120 KB	Output is correct
80	Correct	4 ms	5120 KB	Output is correct
81	Correct	4 ms	5120 KB	Output is correct
82	Correct	3 ms	5120 KB	Output is correct
83	Correct	4 ms	5120 KB	Output is correct
84	Correct	4 ms	5120 KB	Output is correct
85	Correct	4 ms	5120 KB	Output is correct
86	Correct	3 ms	5120 KB	Output is correct
87	Correct	4 ms	5120 KB	Output is correct
88	Correct	4 ms	5120 KB	Output is correct
89	Correct	4 ms	5120 KB	Output is correct
90	Correct	3 ms	5120 KB	Output is correct
91	Correct	3 ms	5120 KB	Output is correct
92	Correct	4 ms	5120 KB	Output is correct

Subtask #9
0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4992 KB	Output is correct
2	Correct	3 ms	4992 KB	Output is correct
3	Correct	3 ms	4992 KB	Output is correct
4	Correct	3 ms	4992 KB	Output is correct
5	Correct	4 ms	4992 KB	Output is correct
6	Correct	4 ms	4992 KB	Output is correct
7	Correct	3 ms	4992 KB	Output is correct
8	Correct	3 ms	4992 KB	Output is correct
9	Correct	4 ms	4992 KB	Output is correct
10	Correct	3 ms	4992 KB	Output is correct
11	Correct	3 ms	4992 KB	Output is correct
12	Correct	3 ms	4992 KB	Output is correct
13	Correct	3 ms	4992 KB	Output is correct
14	Correct	3 ms	4992 KB	Output is correct
15	Correct	3 ms	4992 KB	Output is correct
16	Correct	3 ms	4992 KB	Output is correct
17	Correct	3 ms	4992 KB	Output is correct
18	Correct	3 ms	4992 KB	Output is correct
19	Correct	3 ms	4992 KB	Output is correct
20	Correct	3 ms	4992 KB	Output is correct
21	Correct	3 ms	5120 KB	Output is correct
22	Correct	3 ms	4992 KB	Output is correct
23	Correct	3 ms	4992 KB	Output is correct
24	Correct	3 ms	4992 KB	Output is correct
25	Correct	3 ms	4992 KB	Output is correct
26	Correct	4 ms	4992 KB	Output is correct
27	Correct	3 ms	4992 KB	Output is correct
28	Correct	3 ms	4992 KB	Output is correct
29	Correct	3 ms	4992 KB	Output is correct
30	Correct	4 ms	4992 KB	Output is correct
31	Correct	4 ms	4992 KB	Output is correct
32	Correct	3 ms	4992 KB	Output is correct
33	Correct	3 ms	4992 KB	Output is correct
34	Correct	3 ms	4992 KB	Output is correct
35	Correct	5 ms	4992 KB	Output is correct
36	Correct	3 ms	5120 KB	Output is correct
37	Correct	3 ms	4992 KB	Output is correct
38	Correct	3 ms	4992 KB	Output is correct
39	Correct	3 ms	4992 KB	Output is correct
40	Correct	3 ms	4992 KB	Output is correct
41	Correct	4 ms	4992 KB	Output is correct
42	Correct	3 ms	4992 KB	Output is correct
43	Correct	3 ms	4992 KB	Output is correct
44	Correct	3 ms	4992 KB	Output is correct
45	Correct	3 ms	4992 KB	Output is correct
46	Correct	3 ms	4992 KB	Output is correct
47	Correct	3 ms	4992 KB	Output is correct
48	Correct	3 ms	4992 KB	Output is correct
49	Correct	3 ms	4992 KB	Output is correct
50	Correct	3 ms	4992 KB	Output is correct
51	Correct	3 ms	4992 KB	Output is correct
52	Correct	4 ms	4992 KB	Output is correct
53	Correct	3 ms	4992 KB	Output is correct
54	Correct	3 ms	4992 KB	Output is correct
55	Correct	4 ms	4992 KB	Output is correct
56	Correct	3 ms	4992 KB	Output is correct
57	Correct	3 ms	4992 KB	Output is correct
58	Correct	4 ms	5120 KB	Output is correct
59	Correct	4 ms	4992 KB	Output is correct
60	Correct	3 ms	4992 KB	Output is correct
61	Correct	3 ms	5120 KB	Output is correct
62	Correct	3 ms	4992 KB	Output is correct
63	Correct	3 ms	4992 KB	Output is correct
64	Correct	3 ms	5120 KB	Output is correct
65	Correct	3 ms	4992 KB	Output is correct
66	Correct	77 ms	18160 KB	Output is correct
67	Correct	82 ms	18160 KB	Output is correct
68	Execution timed out	1087 ms	14964 KB	Time limit exceeded
69	Halted	0 ms	0 KB	-

Submission #248540

Compilation message