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Submission #714471

# Submission time Handle Problem Language Result Execution time Memory
714471 2023-03-24T15:19:50 Z radal Duathlon (APIO18_duathlon) C++17
10 / 100
 1000 ms 1048576 KB 
#include <bits/stdc++.h>
//#pragma GCC target("sse,sse2,avx2")
#pragma GCC optimize("unroll-loops,O3")
#define rep(i,l,r) for (int i = l; i < r; i++)
#define repr(i,r,l) for (int i = r; i >= l; i--)
#define X first
#define Y second
#define all(x) (x).begin() , (x).end()
#define pb push_back
#define endl '\n'
#define debug(x) cerr << #x << " : " << x << endl;

using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pll;
constexpr int N = 1e5+20,mod = 998244353;
constexpr ll inf = 1e9+10;
inline int mkay(int a,int b){
    if (a+b >= mod) return a+b-mod;
    if (a+b < 0) return a+b+mod;
    return a+b;
}
 
inline int poww(int a,int k){
    if (k < 0) return 0;
    int z = 1;
    while (k){
        if (k&1) z = 1ll*z*a%mod;
        a = 1ll*a*a%mod;
        k >>= 1;
    } 
    return z; 
}

int n,m;
int h[N],mi[N];
bool cut[N];
int mark[N],sz[N],sum[N];
vector<int> G[N],cp,adj[N];
ll ans;

void dfs(int v){
	cp.pb(v);
	mi[v] = h[v];
	int deg = 0;
	for (int u : G[v]){

		if (h[u] != -1){
			mi[v] = min(mi[v],h[u]);
		   	continue;
		}
		deg++;
		h[u] = h[v] + 1;
		dfs(u);
		if (mi[u] >= h[v] && h[v]) cut[v] = 1;
	}
	if (!h[v] && deg > 1) cut[v] = 1;
}

void dfs2(int v,int c){
	if (cut[v]){
		adj[v].pb(c);
		adj[c].pb(v);
		return;
	}
	mark[v] = c;
	sz[c]++;
	for (int u : G[v]){
		if (!mark[u])
			dfs2(u,c);
	}
}

void dfs3(int v,int p){
	sort(all(adj[v]));
	adj[v].resize(unique(all(adj[v]))-adj[v].begin());
	int s;
	if (v > n) s = sz[v];
	else s = 1;
	sum[v] = s;
	if (v > n){
		int x = adj[v].size();
		ans += 1ll*s*(s-1)*(s-2);
		ans += 1ll*x*s*(s-1);
		ans += 2ll*x*(x-1)*s;
		ans += 1ll*x*(x-1)*(x-2);
	}
	for (int u : adj[v]){
		if (u == p) continue;
		dfs3(u,v);
		ans += 1ll*s*sum[u]*(cp.size()-1-sum[u]);
		ans += 1ll*s*(s-1)*sum[u];
		sum[v] += sum[u];
	}

	ans += 1ll*s*(cp.size()-sum[v])*(sum[v]-1);
	ans += 1ll*s*(s-1)*(cp.size()-sum[v]);
}
int main(){
	ios :: sync_with_stdio(0); cin.tie(0);  cout.tie(0);
	memset(h,-1,sizeof h);
	cin >> n >> m;
	rep(i,0,m){
		int u,v;
		cin >> u >> v;
		G[u].pb(v);
		G[v].pb(u);
	}
	int cur = n+1;
	rep(i,1,n+1){
		if (h[i] != -1) continue;
		cp.clear();
		h[i] = 0;
		dfs(i);
		if ((int)cp.size() < 3) continue;

		int tedb = 0;
		for (int v : cp){
			if (cut[v]){
				for (int u : G[v]) if (cut[u]) adj[v].pb(u);
				continue;
			}
			if (mark[v]) continue;
			dfs2(v,cur);
			cur++;
			tedb++;
		}
		if (tedb) dfs3(cur-1,-1);
		else dfs3(cp.back(),-1);
	}
	cout << ans << endl;

}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5332 KB Output is correct
2 Correct 4 ms 5332 KB Output is correct
3 Correct 3 ms 5420 KB Output is correct
4 Correct 3 ms 5416 KB Output is correct
5 Correct 3 ms 5416 KB Output is correct
6 Correct 3 ms 5332 KB Output is correct
7 Runtime error 766 ms 1048576 KB Execution killed with signal 9
8 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5332 KB Output is correct
2 Correct 4 ms 5332 KB Output is correct
3 Correct 3 ms 5420 KB Output is correct
4 Correct 3 ms 5416 KB Output is correct
5 Correct 3 ms 5416 KB Output is correct
6 Correct 3 ms 5332 KB Output is correct
7 Runtime error 766 ms 1048576 KB Execution killed with signal 9
8 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 928 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5460 KB Output is correct
2 Correct 4 ms 5428 KB Output is correct
3 Correct 3 ms 5460 KB Output is correct
4 Correct 3 ms 5588 KB Output is correct
5 Correct 3 ms 5460 KB Output is correct
6 Correct 4 ms 5460 KB Output is correct
7 Correct 4 ms 5588 KB Output is correct
8 Correct 4 ms 5460 KB Output is correct
9 Correct 4 ms 5460 KB Output is correct
10 Correct 5 ms 5460 KB Output is correct
11 Correct 4 ms 5460 KB Output is correct
12 Correct 4 ms 5460 KB Output is correct
13 Correct 4 ms 5460 KB Output is correct
14 Correct 4 ms 5460 KB Output is correct
15 Correct 4 ms 5460 KB Output is correct
16 Correct 4 ms 5388 KB Output is correct
17 Correct 4 ms 5460 KB Output is correct
18 Correct 3 ms 5460 KB Output is correct
19 Correct 3 ms 5460 KB Output is correct
20 Correct 4 ms 5512 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1076 ms 12760 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5460 KB Output is correct
2 Correct 4 ms 5460 KB Output is correct
3 Runtime error 729 ms 1048576 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1046 ms 12636 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5332 KB Output is correct
2 Correct 4 ms 5332 KB Output is correct
3 Correct 3 ms 5420 KB Output is correct
4 Correct 3 ms 5416 KB Output is correct
5 Correct 3 ms 5416 KB Output is correct
6 Correct 3 ms 5332 KB Output is correct
7 Runtime error 766 ms 1048576 KB Execution killed with signal 9
8 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5332 KB Output is correct
2 Correct 4 ms 5332 KB Output is correct
3 Correct 3 ms 5420 KB Output is correct
4 Correct 3 ms 5416 KB Output is correct
5 Correct 3 ms 5416 KB Output is correct
6 Correct 3 ms 5332 KB Output is correct
7 Runtime error 766 ms 1048576 KB Execution killed with signal 9
8 Halted 0 ms 0 KB -