Submission #172565

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
172565	2020-01-02T03:17:37 Z	eggag32	Duathlon (APIO18_duathlon)	C++17	28 / 100	124 ms	12132 KB

count_triplets

#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef pair<int, int> pi;
#define debug(x) cerr << #x << ": " << x << endl;
#define debug2(x, y) debug(x) debug(y);
#define repn(i, a, b) for(int i = (int)(a); i < (int)(b); i++)
#define rep(i, a) for(int i = 0; i < (int)(a); i++)
#define all(v) v.begin(), v.end() 
#define mp make_pair
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define fi first
#define se second
#define sq(x) ((x) * (x))

template<class T> T gcd(T a, T b){ return ((b == 0) ? a : gcd(b, a % b)); }

ll n, m;
vi vis2;
vi g[100005];

bool dfs(int cur, int mid, int fin, bool fnd, vi vis){
	vis[cur] = 1;
	if(cur == mid) fnd = 1;
	if(cur == fin){
		if(fnd) return 1;
		return 0;
	}
	int ret = 0;
	for(int u : g[cur]) if(!vis[u]){
		ret |= dfs(u, mid, fin, fnd, vis);
		if(ret) break;
	}
	return ret;
}

bool check(int st, int mid, int fin){
	vis2.assign(n, 0);
	return dfs(st, mid, fin, 0, vis2);
}

ll ans1 = 0;
int vis1[100005];
int vis3[100005];
int ind[100005];
ll cn[100005];
ll d[100005];
int id = 0;
ll cc = 0;

void dfs1(int cur){
	//initial traversal to compute the subtree sizes
	vis1[cur] = 1;
	ind[cur] = id;
	cc++;
	d[cur] = 1;
	for(int u : g[cur]) if(!vis1[u]){
		dfs1(u);
		d[cur] += d[u];
	}
}	

void dfs2(int cur){
	vis3[cur] = 1;
	ll sm = 0;
	for(int u : g[cur]) if(!vis3[u]){
		ans1 += (ll)(d[u] * (cn[ind[cur]] - d[u] - 1));
		sm += d[u];
	}
	ans1 += (ll)((cn[ind[cur]] - d[cur]) * sm);
	for(int u : g[cur]) if(!vis3[u]) dfs2(u);
}

ll ans2 = 0;
int vis4[100005];
ll cnt1[2];

bool dfs4(int cur, int prev){
	vis4[cur] = 1;
	if(prev != -1){
		cnt1[1] += cnt1[0];
		cnt1[0]++;
	}
	int ret = 1;
	for(int u : g[cur]) if(u != prev && ind[u] == ind[cur]){
		if(vis4[u]) return 0;
		ret &= dfs4(u, cur);
	}
	return ret;
}

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	//freopen("1.out", "r", stdin);
	//freopen("output.out", "w", stdout);
	cin >> n >> m;
	int mx = 0;
	rep(i, m){
		int a, b;
		cin >> a >> b;
		a--, b--;
		g[a].pb(b);
		g[b].pb(a);
		mx = max({mx, (int)g[a].size(), (int)g[b].size()});
	}
	if(n <= 10 && m <= 100){
		//first subtask
		ll ans = 0;
		rep(i, n) repn(k, i + 1, n) rep(j, n) if(j != i && j != k) if(check(i, j, k)) ans += 2;
		cout << ans << endl;
	}
	else{
		//subtasks 3, 4, 5
		memset(vis1, 0, sizeof(vis1));
		memset(vis3, 0, sizeof(vis3));
		memset(vis4, 0, sizeof(vis4));
		memset(d, 0, sizeof(d));
		rep(i, n) if(!vis1[i]){
			cc = 0;
			dfs1(i);
			cn[id] = cc;
			id++;
		}
		if(mx == 2){
			int f = 0;
			vi cyc(100005, 0);
			rep(i, n) if(!vis4[i]){
				if(!dfs4(i, -1)) cyc[ind[i]] = 1, f = 1;
				else{
					for(ll j = 2; j < cn[i]; j++) ans2 += (ll)(2 * (j - 1) * (cn[i] - j) * 1LL);
				}
			}
			if(!f) goto g;
			rep(i, id) if(cyc[i]){
				ans2 += ((cn[i]) * (cn[i] - 1) * (cn[i] - 2));
			}
			cout << ans2 << endl;
			return 0;
		}
g:;
		rep(i, n) if(!vis3[i]) dfs2(i);
		cout << ans1 << endl;
	}
	return 0;
}
/*
Things to look out for:
	- Integer overflows
	- Array bounds
	- Special cases
Be careful!
*/

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2680 KB	Output is correct
2	Correct	4 ms	2680 KB	Output is correct
3	Correct	4 ms	2680 KB	Output is correct
4	Correct	5 ms	2680 KB	Output is correct
5	Correct	5 ms	2680 KB	Output is correct
6	Correct	4 ms	2680 KB	Output is correct
7	Correct	4 ms	2680 KB	Output is correct
8	Correct	6 ms	2680 KB	Output is correct
9	Correct	4 ms	2680 KB	Output is correct
10	Correct	4 ms	2680 KB	Output is correct
11	Correct	4 ms	2680 KB	Output is correct
12	Correct	4 ms	2684 KB	Output is correct
13	Correct	5 ms	2680 KB	Output is correct
14	Correct	4 ms	2680 KB	Output is correct
15	Correct	5 ms	2680 KB	Output is correct
16	Correct	4 ms	2680 KB	Output is correct
17	Correct	4 ms	2680 KB	Output is correct
18	Correct	4 ms	2680 KB	Output is correct
19	Correct	4 ms	2680 KB	Output is correct
20	Correct	4 ms	2680 KB	Output is correct
21	Correct	4 ms	2680 KB	Output is correct
22	Correct	4 ms	2680 KB	Output is correct
23	Correct	4 ms	2680 KB	Output is correct
24	Correct	4 ms	2680 KB	Output is correct
25	Correct	5 ms	2680 KB	Output is correct
26	Correct	4 ms	2680 KB	Output is correct
27	Correct	4 ms	2680 KB	Output is correct
28	Correct	4 ms	2680 KB	Output is correct
29	Correct	4 ms	2680 KB	Output is correct
30	Correct	4 ms	2684 KB	Output is correct
31	Correct	4 ms	2680 KB	Output is correct
32	Correct	5 ms	2680 KB	Output is correct
33	Correct	4 ms	2680 KB	Output is correct
34	Correct	4 ms	2680 KB	Output is correct
35	Correct	4 ms	2680 KB	Output is correct

Subtask #2
0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2680 KB	Output is correct
2	Correct	4 ms	2680 KB	Output is correct
3	Correct	4 ms	2680 KB	Output is correct
4	Correct	5 ms	2680 KB	Output is correct
5	Correct	5 ms	2680 KB	Output is correct
6	Correct	4 ms	2680 KB	Output is correct
7	Correct	4 ms	2680 KB	Output is correct
8	Correct	6 ms	2680 KB	Output is correct
9	Correct	4 ms	2680 KB	Output is correct
10	Correct	4 ms	2680 KB	Output is correct
11	Correct	4 ms	2680 KB	Output is correct
12	Correct	4 ms	2684 KB	Output is correct
13	Correct	5 ms	2680 KB	Output is correct
14	Correct	4 ms	2680 KB	Output is correct
15	Correct	5 ms	2680 KB	Output is correct
16	Correct	4 ms	2680 KB	Output is correct
17	Correct	4 ms	2680 KB	Output is correct
18	Correct	4 ms	2680 KB	Output is correct
19	Correct	4 ms	2680 KB	Output is correct
20	Correct	4 ms	2680 KB	Output is correct
21	Correct	4 ms	2680 KB	Output is correct
22	Correct	4 ms	2680 KB	Output is correct
23	Correct	4 ms	2680 KB	Output is correct
24	Correct	4 ms	2680 KB	Output is correct
25	Correct	5 ms	2680 KB	Output is correct
26	Correct	4 ms	2680 KB	Output is correct
27	Correct	4 ms	2680 KB	Output is correct
28	Correct	4 ms	2680 KB	Output is correct
29	Correct	4 ms	2680 KB	Output is correct
30	Correct	4 ms	2684 KB	Output is correct
31	Correct	4 ms	2680 KB	Output is correct
32	Correct	5 ms	2680 KB	Output is correct
33	Correct	4 ms	2680 KB	Output is correct
34	Correct	4 ms	2680 KB	Output is correct
35	Correct	4 ms	2680 KB	Output is correct
36	Correct	6 ms	4600 KB	Output is correct
37	Correct	6 ms	4728 KB	Output is correct
38	Incorrect	6 ms	4728 KB	Output isn't correct
39	Halted	0 ms	0 KB	-

Subtask #3
0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	102 ms	12132 KB	Output is correct
2	Correct	104 ms	11968 KB	Output is correct
3	Correct	96 ms	10444 KB	Output is correct
4	Correct	100 ms	11128 KB	Output is correct
5	Correct	100 ms	9700 KB	Output is correct
6	Correct	98 ms	9720 KB	Output is correct
7	Correct	90 ms	9336 KB	Output is correct
8	Correct	92 ms	9592 KB	Output is correct
9	Incorrect	97 ms	8956 KB	Output isn't correct
10	Halted	0 ms	0 KB	-

Subtask #4
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	4728 KB	Output is correct
2	Correct	7 ms	4728 KB	Output is correct
3	Correct	7 ms	4728 KB	Output is correct
4	Correct	8 ms	5112 KB	Output is correct
5	Correct	7 ms	4728 KB	Output is correct
6	Correct	7 ms	4728 KB	Output is correct
7	Correct	7 ms	5112 KB	Output is correct
8	Correct	8 ms	4728 KB	Output is correct
9	Correct	7 ms	4728 KB	Output is correct
10	Correct	7 ms	4728 KB	Output is correct
11	Correct	7 ms	4728 KB	Output is correct
12	Correct	9 ms	4728 KB	Output is correct
13	Correct	6 ms	4728 KB	Output is correct
14	Correct	6 ms	4728 KB	Output is correct
15	Correct	6 ms	4728 KB	Output is correct
16	Correct	6 ms	4732 KB	Output is correct
17	Correct	6 ms	4728 KB	Output is correct
18	Correct	6 ms	4728 KB	Output is correct
19	Correct	6 ms	4728 KB	Output is correct
20	Correct	7 ms	4728 KB	Output is correct

Subtask #5
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	74 ms	8240 KB	Output is correct
2	Correct	73 ms	8276 KB	Output is correct
3	Correct	74 ms	8240 KB	Output is correct
4	Correct	70 ms	8312 KB	Output is correct
5	Correct	72 ms	8284 KB	Output is correct
6	Correct	124 ms	10424 KB	Output is correct
7	Correct	93 ms	9336 KB	Output is correct
8	Correct	85 ms	9080 KB	Output is correct
9	Correct	87 ms	8780 KB	Output is correct
10	Correct	83 ms	8440 KB	Output is correct
11	Correct	79 ms	8312 KB	Output is correct
12	Correct	81 ms	8312 KB	Output is correct
13	Correct	81 ms	8312 KB	Output is correct
14	Correct	71 ms	8184 KB	Output is correct
15	Correct	106 ms	8184 KB	Output is correct
16	Correct	41 ms	7800 KB	Output is correct
17	Correct	51 ms	8560 KB	Output is correct
18	Correct	49 ms	8560 KB	Output is correct
19	Correct	51 ms	8556 KB	Output is correct
20	Correct	49 ms	8568 KB	Output is correct

Subtask #6
0 / 15.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	4728 KB	Output is correct
2	Correct	6 ms	4728 KB	Output is correct
3	Incorrect	6 ms	4728 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #7
0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	72 ms	8244 KB	Output is correct
2	Correct	113 ms	8312 KB	Output is correct
3	Incorrect	87 ms	8208 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #8
0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2680 KB	Output is correct
2	Correct	4 ms	2680 KB	Output is correct
3	Correct	4 ms	2680 KB	Output is correct
4	Correct	5 ms	2680 KB	Output is correct
5	Correct	5 ms	2680 KB	Output is correct
6	Correct	4 ms	2680 KB	Output is correct
7	Correct	4 ms	2680 KB	Output is correct
8	Correct	6 ms	2680 KB	Output is correct
9	Correct	4 ms	2680 KB	Output is correct
10	Correct	4 ms	2680 KB	Output is correct
11	Correct	4 ms	2680 KB	Output is correct
12	Correct	4 ms	2684 KB	Output is correct
13	Correct	5 ms	2680 KB	Output is correct
14	Correct	4 ms	2680 KB	Output is correct
15	Correct	5 ms	2680 KB	Output is correct
16	Correct	4 ms	2680 KB	Output is correct
17	Correct	4 ms	2680 KB	Output is correct
18	Correct	4 ms	2680 KB	Output is correct
19	Correct	4 ms	2680 KB	Output is correct
20	Correct	4 ms	2680 KB	Output is correct
21	Correct	4 ms	2680 KB	Output is correct
22	Correct	4 ms	2680 KB	Output is correct
23	Correct	4 ms	2680 KB	Output is correct
24	Correct	4 ms	2680 KB	Output is correct
25	Correct	5 ms	2680 KB	Output is correct
26	Correct	4 ms	2680 KB	Output is correct
27	Correct	4 ms	2680 KB	Output is correct
28	Correct	4 ms	2680 KB	Output is correct
29	Correct	4 ms	2680 KB	Output is correct
30	Correct	4 ms	2684 KB	Output is correct
31	Correct	4 ms	2680 KB	Output is correct
32	Correct	5 ms	2680 KB	Output is correct
33	Correct	4 ms	2680 KB	Output is correct
34	Correct	4 ms	2680 KB	Output is correct
35	Correct	4 ms	2680 KB	Output is correct
36	Correct	6 ms	4600 KB	Output is correct
37	Correct	6 ms	4728 KB	Output is correct
38	Incorrect	6 ms	4728 KB	Output isn't correct
39	Halted	0 ms	0 KB	-

Subtask #9
0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2680 KB	Output is correct
2	Correct	4 ms	2680 KB	Output is correct
3	Correct	4 ms	2680 KB	Output is correct
4	Correct	5 ms	2680 KB	Output is correct
5	Correct	5 ms	2680 KB	Output is correct
6	Correct	4 ms	2680 KB	Output is correct
7	Correct	4 ms	2680 KB	Output is correct
8	Correct	6 ms	2680 KB	Output is correct
9	Correct	4 ms	2680 KB	Output is correct
10	Correct	4 ms	2680 KB	Output is correct
11	Correct	4 ms	2680 KB	Output is correct
12	Correct	4 ms	2684 KB	Output is correct
13	Correct	5 ms	2680 KB	Output is correct
14	Correct	4 ms	2680 KB	Output is correct
15	Correct	5 ms	2680 KB	Output is correct
16	Correct	4 ms	2680 KB	Output is correct
17	Correct	4 ms	2680 KB	Output is correct
18	Correct	4 ms	2680 KB	Output is correct
19	Correct	4 ms	2680 KB	Output is correct
20	Correct	4 ms	2680 KB	Output is correct
21	Correct	4 ms	2680 KB	Output is correct
22	Correct	4 ms	2680 KB	Output is correct
23	Correct	4 ms	2680 KB	Output is correct
24	Correct	4 ms	2680 KB	Output is correct
25	Correct	5 ms	2680 KB	Output is correct
26	Correct	4 ms	2680 KB	Output is correct
27	Correct	4 ms	2680 KB	Output is correct
28	Correct	4 ms	2680 KB	Output is correct
29	Correct	4 ms	2680 KB	Output is correct
30	Correct	4 ms	2684 KB	Output is correct
31	Correct	4 ms	2680 KB	Output is correct
32	Correct	5 ms	2680 KB	Output is correct
33	Correct	4 ms	2680 KB	Output is correct
34	Correct	4 ms	2680 KB	Output is correct
35	Correct	4 ms	2680 KB	Output is correct
36	Correct	6 ms	4600 KB	Output is correct
37	Correct	6 ms	4728 KB	Output is correct
38	Incorrect	6 ms	4728 KB	Output isn't correct
39	Halted	0 ms	0 KB	-

Submission #172565

Compilation message