Submission #727659

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
727659	2023-04-21T05:26:21 Z	SanguineChameleon	Duathlon (APIO18_duathlon)	C++17	49 / 100	84 ms	20096 KB

count_triplets

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

void just_do_it();

int main() {
	#ifdef KAMIRULEZ
		freopen("kamirulez.inp", "r", stdin);
		freopen("kamirulez.out", "w", stdout);
	#endif
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	just_do_it();
	return 0;
}

const int maxn = 1e5 + 20;
vector<int> adj[maxn];
vector<int> ch_color[maxn];
vector<int> comp;
int color[maxn];
int sz_color[maxn];
bool can[55][55][55];
bool bad[maxn];
bool flag[maxn];
int par[maxn];
int depth[maxn];
int high[maxn];
int sz[maxn];
int node_cnt = 0;
int edge_cnt = 0;
int n, m;

void dfs1(int x, int a, int b) {
	can[x][a][b] = true;
	for (auto c: adj[b]) {
		if (c != x && !can[x][a][c]) {
			dfs1(x, a, c);
		}
	}
}

void dfs2(int u, int p, bool sub7 = false) {
	color[u] = u;
	sz_color[u] = 1;
	par[u] = p;
	high[u] = depth[u];
	flag[u] = true;
	node_cnt++;
	edge_cnt += adj[u].size();
	sz[u] = 1;
	for (auto v: adj[u]) {
		if (v == p) {
			continue;
		}
		if (!flag[v]) {
			depth[v] = depth[u] + 1;
			dfs2(v, u, sub7);
			sz[u] += sz[v];
			high[u] = min(high[u], high[v]);
		}
		else {
			high[u] = min(high[u], depth[v]);
			if (depth[u] > depth[v] && sub7) {
				int cur = u;
				while (true) {
					sz_color[color[cur]]--;
					color[cur] = u;
					sz_color[color[cur]]++;
					if (cur == v) {
						break;
					}
					cur = par[cur];
				}
			}
		}
	}
	if (sub7) {
		for (auto v: adj[u]) {
			if (par[v] == u && color[v] != color[u]) {
				ch_color[color[u]].push_back(color[v]);
			}
		}
	}
}

void sub1() {
	for (int x = 1; x <= n; x++) {
		for (int a = 1; a <= n; a++) {
			if (a != x) {
				dfs1(x, a, a);
			}
		}
		bad[x] = false;
	}
	int res = 0;
	for (int a = 1; a <= n; a++) {
		for (int b = 1; b <= n; b++) {
			if (b == a) {
				continue;
			}
			for (int c = 1; c <= n; c++) {
				if (c == a || c == b) {
					continue;
				}
				bool ok = true;
				for (int x = 1; x <= n; x++) {
					if (x == b) {
						continue;
					}
					if (!can[x][a][b] && !can[x][b][c]) {
						ok = false;
						break;
					}
				}
				if (ok) {
					res++;
				}
			}
		}
	}
	cout << res;
}

void dfs4(int u) {
	node_cnt++;
	comp.push_back(u);
	for (auto v: ch_color[u]) {
		dfs4(v);
	}
}

long long solve(int root) {
	comp.clear();
	node_cnt = 0;
	edge_cnt = 0;
	dfs2(root, -1, true);
	node_cnt = 0;
	edge_cnt = 0;
	dfs4(color[root]);
	long long res = 0;
	for (auto u: comp) {
		res += 1LL * sz_color[u] * (node_cnt - sz_color[u]) * 2;
	}
	res -= 1LL * node_cnt * (node_cnt - 1);
	return res;
}

long long dfs3(int u) {
	int cnt = 1;
	for (auto v: adj[u]) {
		if (par[v] == u && high[v] >= depth[u]) {
			cnt += sz[v];
		}
	}
	long long res = 1LL * cnt * (cnt - 1);
	for (auto v: adj[u]) {
		if (par[v] == u && high[v] < depth[u]) {
			res += dfs3(v);
		}
	}
	return res;
}

void sub8() {
	long long res = 0;
	for (int u = 1; u <= n; u++) {
		node_cnt = 0;
		for (int i = 1; i <= n; i++) {
			flag[i] = false;
		}
		depth[u] = 0;
		dfs2(u, -1);
		res += 1LL * (node_cnt - 1) * (node_cnt - 2);
		for (auto v: adj[u]) {
			if (par[v] == u) {
				res -= dfs3(v);
			}
		}
	}
	cout << res;
}

void just_do_it() {
	cin >> n >> m;
	for (int i = 0; i < m; i++) {
		int u, v;
		cin >> u >> v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}
	if (n <= 50) {
		sub1();
		return;
	}
	if (n <= 1000) {
		sub8();
		return;
	}
	long long res = 0;
	for (int i = 1; i <= n; i++) {
		if (!flag[i]) {
			res += solve(i);
		}
	}
	cout << res;
	return;
}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	4948 KB	Output is correct
2	Correct	3 ms	5024 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	4948 KB	Output is correct
5	Correct	3 ms	4952 KB	Output is correct
6	Correct	4 ms	5068 KB	Output is correct
7	Correct	3 ms	4948 KB	Output is correct
8	Correct	3 ms	4948 KB	Output is correct
9	Correct	3 ms	5024 KB	Output is correct
10	Correct	3 ms	5028 KB	Output is correct
11	Correct	3 ms	4948 KB	Output is correct
12	Correct	3 ms	4948 KB	Output is correct
13	Correct	4 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	4 ms	5028 KB	Output is correct
16	Correct	3 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	4948 KB	Output is correct
19	Correct	3 ms	4948 KB	Output is correct
20	Correct	3 ms	5076 KB	Output is correct
21	Correct	3 ms	5028 KB	Output is correct
22	Correct	4 ms	4948 KB	Output is correct
23	Correct	3 ms	5028 KB	Output is correct
24	Correct	3 ms	4948 KB	Output is correct
25	Correct	3 ms	5032 KB	Output is correct
26	Correct	3 ms	4948 KB	Output is correct
27	Correct	3 ms	5028 KB	Output is correct
28	Correct	3 ms	5036 KB	Output is correct
29	Correct	4 ms	4948 KB	Output is correct
30	Correct	3 ms	4948 KB	Output is correct
31	Correct	3 ms	4948 KB	Output is correct
32	Correct	3 ms	4948 KB	Output is correct
33	Correct	3 ms	5028 KB	Output is correct
34	Correct	3 ms	4948 KB	Output is correct
35	Correct	3 ms	5076 KB	Output is correct

Subtask #2
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	4948 KB	Output is correct
2	Correct	3 ms	5024 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	4948 KB	Output is correct
5	Correct	3 ms	4952 KB	Output is correct
6	Correct	4 ms	5068 KB	Output is correct
7	Correct	3 ms	4948 KB	Output is correct
8	Correct	3 ms	4948 KB	Output is correct
9	Correct	3 ms	5024 KB	Output is correct
10	Correct	3 ms	5028 KB	Output is correct
11	Correct	3 ms	4948 KB	Output is correct
12	Correct	3 ms	4948 KB	Output is correct
13	Correct	4 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	4 ms	5028 KB	Output is correct
16	Correct	3 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	4948 KB	Output is correct
19	Correct	3 ms	4948 KB	Output is correct
20	Correct	3 ms	5076 KB	Output is correct
21	Correct	3 ms	5028 KB	Output is correct
22	Correct	4 ms	4948 KB	Output is correct
23	Correct	3 ms	5028 KB	Output is correct
24	Correct	3 ms	4948 KB	Output is correct
25	Correct	3 ms	5032 KB	Output is correct
26	Correct	3 ms	4948 KB	Output is correct
27	Correct	3 ms	5028 KB	Output is correct
28	Correct	3 ms	5036 KB	Output is correct
29	Correct	4 ms	4948 KB	Output is correct
30	Correct	3 ms	4948 KB	Output is correct
31	Correct	3 ms	4948 KB	Output is correct
32	Correct	3 ms	4948 KB	Output is correct
33	Correct	3 ms	5028 KB	Output is correct
34	Correct	3 ms	4948 KB	Output is correct
35	Correct	3 ms	5076 KB	Output is correct
36	Correct	3 ms	5160 KB	Output is correct
37	Correct	4 ms	5076 KB	Output is correct
38	Correct	8 ms	5076 KB	Output is correct
39	Correct	11 ms	5076 KB	Output is correct
40	Correct	12 ms	5076 KB	Output is correct
41	Correct	3 ms	5156 KB	Output is correct
42	Correct	3 ms	5076 KB	Output is correct
43	Correct	5 ms	5156 KB	Output is correct
44	Correct	4 ms	5076 KB	Output is correct
45	Correct	4 ms	5076 KB	Output is correct
46	Correct	4 ms	5076 KB	Output is correct
47	Correct	3 ms	5044 KB	Output is correct
48	Correct	4 ms	5076 KB	Output is correct
49	Correct	4 ms	5160 KB	Output is correct
50	Correct	4 ms	5156 KB	Output is correct
51	Correct	10 ms	5188 KB	Output is correct
52	Correct	7 ms	5152 KB	Output is correct
53	Correct	11 ms	5188 KB	Output is correct
54	Correct	10 ms	5188 KB	Output is correct
55	Correct	13 ms	5188 KB	Output is correct
56	Correct	11 ms	5184 KB	Output is correct
57	Correct	9 ms	5076 KB	Output is correct
58	Correct	12 ms	5152 KB	Output is correct
59	Correct	8 ms	5076 KB	Output is correct
60	Correct	6 ms	5188 KB	Output is correct
61	Correct	5 ms	5076 KB	Output is correct
62	Correct	5 ms	5076 KB	Output is correct
63	Correct	10 ms	5160 KB	Output is correct
64	Correct	8 ms	5188 KB	Output is correct
65	Correct	7 ms	5076 KB	Output is correct

Subtask #3
0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	66 ms	20096 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #4
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	24 ms	5076 KB	Output is correct
2	Correct	24 ms	5112 KB	Output is correct
3	Correct	24 ms	5120 KB	Output is correct
4	Correct	32 ms	5204 KB	Output is correct
5	Correct	31 ms	5176 KB	Output is correct
6	Correct	29 ms	5160 KB	Output is correct
7	Correct	30 ms	5204 KB	Output is correct
8	Correct	27 ms	5124 KB	Output is correct
9	Correct	26 ms	5160 KB	Output is correct
10	Correct	22 ms	5128 KB	Output is correct
11	Correct	19 ms	5036 KB	Output is correct
12	Correct	12 ms	5128 KB	Output is correct
13	Correct	9 ms	5076 KB	Output is correct
14	Correct	4 ms	5028 KB	Output is correct
15	Correct	4 ms	5028 KB	Output is correct
16	Correct	4 ms	5032 KB	Output is correct
17	Correct	20 ms	5124 KB	Output is correct
18	Correct	19 ms	5132 KB	Output is correct
19	Correct	17 ms	5136 KB	Output is correct
20	Correct	15 ms	5136 KB	Output is correct

Subtask #5
0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	76 ms	12952 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #6
15.0 / 15.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	22 ms	5116 KB	Output is correct
2	Correct	24 ms	5132 KB	Output is correct
3	Correct	32 ms	5076 KB	Output is correct
4	Correct	28 ms	5076 KB	Output is correct
5	Correct	30 ms	5076 KB	Output is correct
6	Correct	34 ms	5036 KB	Output is correct
7	Correct	35 ms	5076 KB	Output is correct
8	Correct	36 ms	5076 KB	Output is correct
9	Correct	32 ms	5136 KB	Output is correct
10	Correct	28 ms	5116 KB	Output is correct
11	Correct	27 ms	5036 KB	Output is correct
12	Correct	27 ms	5164 KB	Output is correct
13	Correct	35 ms	5076 KB	Output is correct
14	Correct	33 ms	5076 KB	Output is correct
15	Correct	27 ms	5164 KB	Output is correct
16	Correct	22 ms	5128 KB	Output is correct
17	Correct	18 ms	5076 KB	Output is correct
18	Correct	9 ms	5076 KB	Output is correct
19	Correct	5 ms	5076 KB	Output is correct
20	Correct	4 ms	5076 KB	Output is correct
21	Correct	25 ms	5032 KB	Output is correct
22	Correct	24 ms	5032 KB	Output is correct
23	Correct	25 ms	5124 KB	Output is correct
24	Correct	25 ms	5124 KB	Output is correct
25	Correct	3 ms	5076 KB	Output is correct
26	Correct	3 ms	5076 KB	Output is correct
27	Correct	3 ms	5076 KB	Output is correct

Subtask #7
0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	60 ms	12932 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #8
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	4948 KB	Output is correct
2	Correct	3 ms	5024 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	4948 KB	Output is correct
5	Correct	3 ms	4952 KB	Output is correct
6	Correct	4 ms	5068 KB	Output is correct
7	Correct	3 ms	4948 KB	Output is correct
8	Correct	3 ms	4948 KB	Output is correct
9	Correct	3 ms	5024 KB	Output is correct
10	Correct	3 ms	5028 KB	Output is correct
11	Correct	3 ms	4948 KB	Output is correct
12	Correct	3 ms	4948 KB	Output is correct
13	Correct	4 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	4 ms	5028 KB	Output is correct
16	Correct	3 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	4948 KB	Output is correct
19	Correct	3 ms	4948 KB	Output is correct
20	Correct	3 ms	5076 KB	Output is correct
21	Correct	3 ms	5028 KB	Output is correct
22	Correct	4 ms	4948 KB	Output is correct
23	Correct	3 ms	5028 KB	Output is correct
24	Correct	3 ms	4948 KB	Output is correct
25	Correct	3 ms	5032 KB	Output is correct
26	Correct	3 ms	4948 KB	Output is correct
27	Correct	3 ms	5028 KB	Output is correct
28	Correct	3 ms	5036 KB	Output is correct
29	Correct	4 ms	4948 KB	Output is correct
30	Correct	3 ms	4948 KB	Output is correct
31	Correct	3 ms	4948 KB	Output is correct
32	Correct	3 ms	4948 KB	Output is correct
33	Correct	3 ms	5028 KB	Output is correct
34	Correct	3 ms	4948 KB	Output is correct
35	Correct	3 ms	5076 KB	Output is correct
36	Correct	3 ms	5160 KB	Output is correct
37	Correct	4 ms	5076 KB	Output is correct
38	Correct	8 ms	5076 KB	Output is correct
39	Correct	11 ms	5076 KB	Output is correct
40	Correct	12 ms	5076 KB	Output is correct
41	Correct	3 ms	5156 KB	Output is correct
42	Correct	3 ms	5076 KB	Output is correct
43	Correct	5 ms	5156 KB	Output is correct
44	Correct	4 ms	5076 KB	Output is correct
45	Correct	4 ms	5076 KB	Output is correct
46	Correct	4 ms	5076 KB	Output is correct
47	Correct	3 ms	5044 KB	Output is correct
48	Correct	4 ms	5076 KB	Output is correct
49	Correct	4 ms	5160 KB	Output is correct
50	Correct	4 ms	5156 KB	Output is correct
51	Correct	10 ms	5188 KB	Output is correct
52	Correct	7 ms	5152 KB	Output is correct
53	Correct	11 ms	5188 KB	Output is correct
54	Correct	10 ms	5188 KB	Output is correct
55	Correct	13 ms	5188 KB	Output is correct
56	Correct	11 ms	5184 KB	Output is correct
57	Correct	9 ms	5076 KB	Output is correct
58	Correct	12 ms	5152 KB	Output is correct
59	Correct	8 ms	5076 KB	Output is correct
60	Correct	6 ms	5188 KB	Output is correct
61	Correct	5 ms	5076 KB	Output is correct
62	Correct	5 ms	5076 KB	Output is correct
63	Correct	10 ms	5160 KB	Output is correct
64	Correct	8 ms	5188 KB	Output is correct
65	Correct	7 ms	5076 KB	Output is correct
66	Correct	3 ms	5076 KB	Output is correct
67	Correct	4 ms	5032 KB	Output is correct
68	Correct	30 ms	5144 KB	Output is correct
69	Correct	69 ms	5076 KB	Output is correct
70	Correct	84 ms	5176 KB	Output is correct
71	Correct	4 ms	5076 KB	Output is correct
72	Correct	3 ms	5076 KB	Output is correct
73	Correct	3 ms	5036 KB	Output is correct
74	Correct	3 ms	5076 KB	Output is correct
75	Correct	4 ms	5036 KB	Output is correct
76	Correct	3 ms	4948 KB	Output is correct
77	Correct	26 ms	5076 KB	Output is correct
78	Correct	26 ms	5076 KB	Output is correct
79	Correct	26 ms	5076 KB	Output is correct
80	Correct	26 ms	5136 KB	Output is correct
81	Correct	27 ms	5076 KB	Output is correct
82	Correct	31 ms	5176 KB	Output is correct
83	Correct	41 ms	5204 KB	Output is correct
84	Correct	29 ms	5076 KB	Output is correct
85	Correct	28 ms	5160 KB	Output is correct
86	Correct	26 ms	5040 KB	Output is correct
87	Correct	11 ms	5076 KB	Output is correct
88	Correct	12 ms	5076 KB	Output is correct
89	Correct	4 ms	5076 KB	Output is correct
90	Correct	3 ms	5036 KB	Output is correct
91	Correct	27 ms	5076 KB	Output is correct
92	Correct	26 ms	5076 KB	Output is correct

Subtask #9
0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	4948 KB	Output is correct
2	Correct	3 ms	5024 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	4948 KB	Output is correct
5	Correct	3 ms	4952 KB	Output is correct
6	Correct	4 ms	5068 KB	Output is correct
7	Correct	3 ms	4948 KB	Output is correct
8	Correct	3 ms	4948 KB	Output is correct
9	Correct	3 ms	5024 KB	Output is correct
10	Correct	3 ms	5028 KB	Output is correct
11	Correct	3 ms	4948 KB	Output is correct
12	Correct	3 ms	4948 KB	Output is correct
13	Correct	4 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	4 ms	5028 KB	Output is correct
16	Correct	3 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	4948 KB	Output is correct
19	Correct	3 ms	4948 KB	Output is correct
20	Correct	3 ms	5076 KB	Output is correct
21	Correct	3 ms	5028 KB	Output is correct
22	Correct	4 ms	4948 KB	Output is correct
23	Correct	3 ms	5028 KB	Output is correct
24	Correct	3 ms	4948 KB	Output is correct
25	Correct	3 ms	5032 KB	Output is correct
26	Correct	3 ms	4948 KB	Output is correct
27	Correct	3 ms	5028 KB	Output is correct
28	Correct	3 ms	5036 KB	Output is correct
29	Correct	4 ms	4948 KB	Output is correct
30	Correct	3 ms	4948 KB	Output is correct
31	Correct	3 ms	4948 KB	Output is correct
32	Correct	3 ms	4948 KB	Output is correct
33	Correct	3 ms	5028 KB	Output is correct
34	Correct	3 ms	4948 KB	Output is correct
35	Correct	3 ms	5076 KB	Output is correct
36	Correct	3 ms	5160 KB	Output is correct
37	Correct	4 ms	5076 KB	Output is correct
38	Correct	8 ms	5076 KB	Output is correct
39	Correct	11 ms	5076 KB	Output is correct
40	Correct	12 ms	5076 KB	Output is correct
41	Correct	3 ms	5156 KB	Output is correct
42	Correct	3 ms	5076 KB	Output is correct
43	Correct	5 ms	5156 KB	Output is correct
44	Correct	4 ms	5076 KB	Output is correct
45	Correct	4 ms	5076 KB	Output is correct
46	Correct	4 ms	5076 KB	Output is correct
47	Correct	3 ms	5044 KB	Output is correct
48	Correct	4 ms	5076 KB	Output is correct
49	Correct	4 ms	5160 KB	Output is correct
50	Correct	4 ms	5156 KB	Output is correct
51	Correct	10 ms	5188 KB	Output is correct
52	Correct	7 ms	5152 KB	Output is correct
53	Correct	11 ms	5188 KB	Output is correct
54	Correct	10 ms	5188 KB	Output is correct
55	Correct	13 ms	5188 KB	Output is correct
56	Correct	11 ms	5184 KB	Output is correct
57	Correct	9 ms	5076 KB	Output is correct
58	Correct	12 ms	5152 KB	Output is correct
59	Correct	8 ms	5076 KB	Output is correct
60	Correct	6 ms	5188 KB	Output is correct
61	Correct	5 ms	5076 KB	Output is correct
62	Correct	5 ms	5076 KB	Output is correct
63	Correct	10 ms	5160 KB	Output is correct
64	Correct	8 ms	5188 KB	Output is correct
65	Correct	7 ms	5076 KB	Output is correct
66	Incorrect	66 ms	20096 KB	Output isn't correct
67	Halted	0 ms	0 KB	-

Submission #727659

Compilation message