Submission #172574

# Submission time Handle Problem Language Result Execution time Memory
172574 2020-01-02T03:44:19 Z eggag32 Duathlon (APIO18_duathlon) C++17
13 / 100
159 ms 12072 KB
#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];
ll ans1 = 0;
int vis1[100005];
int vis3[100005];
int ind[100005];
int last[100005];
ll cn[100005];
ll d[100005];
int id = 0;
ll cc = 0;
ll ans2 = 0;
int vis4[100005];
ll cnt1[2];

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);
}

void dfs1(int cur){
	//initial traversal to compute the subtree sizes
	vis1[cur] = 1;
	ind[cur] = id;
	last[id] = cur;
	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);
}

bool dfs4(int cur, int prev){
	vis4[cur] = 1;
	if(prev != -1){
		cnt1[1] += cnt1[0];
		cnt1[0]++;
	}
	int ret = 0;
	for(int u : g[cur]) if(u != prev && (ind[u] == ind[cur])){
		if(vis4[u]) return 1;
		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++;
		}
		vi cyc(100005, 0);
		rep(i, id){
			if(dfs4(last[i], -1)) cyc[i] = 1;
			else{
				for(ll j = 2; j < cn[i]; j++) ans2 += (ll)(2 * (j - 1) * (cn[i] - j) * 1LL);
			}
		}
		rep(i, id) if(cyc[i]){
			ans2 += ((cn[i]) * (cn[i] - 1) * (cn[i] - 2));
		}
		cout << ans2 << endl;
	}
	return 0;
}
/*
Things to look out for:
	- Integer overflows
	- Array bounds
	- Special cases
Be careful!
*/
# 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 4 ms 2680 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2808 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 5 ms 2680 KB Output is correct
13 Correct 0 ms 2552 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 5 ms 2652 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 4 ms 2680 KB Output is correct
26 Correct 5 ms 2684 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 5 ms 2680 KB Output is correct
31 Correct 5 ms 2680 KB Output is correct
32 Correct 5 ms 2680 KB Output is correct
33 Correct 5 ms 2680 KB Output is correct
34 Correct 5 ms 2680 KB Output is correct
35 Correct 5 ms 2680 KB Output is correct
# 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 4 ms 2680 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2808 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 5 ms 2680 KB Output is correct
13 Correct 0 ms 2552 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 5 ms 2652 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 4 ms 2680 KB Output is correct
26 Correct 5 ms 2684 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 5 ms 2680 KB Output is correct
31 Correct 5 ms 2680 KB Output is correct
32 Correct 5 ms 2680 KB Output is correct
33 Correct 5 ms 2680 KB Output is correct
34 Correct 5 ms 2680 KB Output is correct
35 Correct 5 ms 2680 KB Output is correct
36 Correct 7 ms 4984 KB Output is correct
37 Incorrect 6 ms 5084 KB Output isn't correct
38 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 98 ms 12072 KB Output is correct
2 Correct 101 ms 12024 KB Output is correct
3 Correct 100 ms 10232 KB Output is correct
4 Correct 101 ms 11156 KB Output is correct
5 Correct 99 ms 9720 KB Output is correct
6 Correct 116 ms 10536 KB Output is correct
7 Correct 120 ms 9344 KB Output is correct
8 Correct 159 ms 9848 KB Output is correct
9 Correct 105 ms 8984 KB Output is correct
10 Correct 102 ms 9336 KB Output is correct
11 Correct 74 ms 8824 KB Output is correct
12 Correct 92 ms 8696 KB Output is correct
13 Correct 96 ms 8824 KB Output is correct
14 Correct 106 ms 8696 KB Output is correct
15 Correct 45 ms 8568 KB Output is correct
16 Correct 48 ms 8568 KB Output is correct
17 Correct 7 ms 6648 KB Output is correct
18 Correct 9 ms 6648 KB Output is correct
19 Correct 9 ms 6648 KB Output is correct
20 Correct 9 ms 6648 KB Output is correct
21 Correct 9 ms 6648 KB Output is correct
22 Correct 9 ms 6648 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 7 ms 5112 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 78 ms 8696 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 7 ms 5112 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 80 ms 8668 KB Output isn't correct
2 Halted 0 ms 0 KB -
# 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 4 ms 2680 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2808 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 5 ms 2680 KB Output is correct
13 Correct 0 ms 2552 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 5 ms 2652 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 4 ms 2680 KB Output is correct
26 Correct 5 ms 2684 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 5 ms 2680 KB Output is correct
31 Correct 5 ms 2680 KB Output is correct
32 Correct 5 ms 2680 KB Output is correct
33 Correct 5 ms 2680 KB Output is correct
34 Correct 5 ms 2680 KB Output is correct
35 Correct 5 ms 2680 KB Output is correct
36 Correct 7 ms 4984 KB Output is correct
37 Incorrect 6 ms 5084 KB Output isn't correct
38 Halted 0 ms 0 KB -
# 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 4 ms 2680 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2808 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 5 ms 2680 KB Output is correct
13 Correct 0 ms 2552 KB Output is correct
14 Correct 4 ms 2680 KB Output is correct
15 Correct 5 ms 2652 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 4 ms 2680 KB Output is correct
26 Correct 5 ms 2684 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 5 ms 2680 KB Output is correct
31 Correct 5 ms 2680 KB Output is correct
32 Correct 5 ms 2680 KB Output is correct
33 Correct 5 ms 2680 KB Output is correct
34 Correct 5 ms 2680 KB Output is correct
35 Correct 5 ms 2680 KB Output is correct
36 Correct 7 ms 4984 KB Output is correct
37 Incorrect 6 ms 5084 KB Output isn't correct
38 Halted 0 ms 0 KB -