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Submission #1086016

# Submission time Handle Problem Language Result Execution time Memory
1086016 2024-09-09T09:56:19 Z peacebringer1667 Duathlon (APIO18_duathlon) C++17
5 / 100
 981 ms 1048576 KB 
#include<bits/stdc++.h>
#define ll long long
#define ldb long double
#define fi first
#define se second
#define sza(a) (int)a.size()
#define pir pair<int,int>
#define pirll pair<ll,ll>
using namespace std;
const int maxn = 1e5 + 5;

vector<vector<int>> vec(maxn);
void input(int n,int m){
	while (m--){
		int u,v;
		cin >> u >> v;
		vec[u].push_back(v);
		vec[v].push_back(u);
	}
}

namespace sub1{
	bool check(int n,int m){
		return (n <= 10 && m <= 100);
	}
	const int N = 15;
	
	bool E[N][N],path[N][N][N];
	
	void gen_edge(int n){
		for (int u = 1 ; u <= n ; u++)
		  for (int v : vec[u])
		    E[u][v] = E[v][u] = 1;
	}
	
	void checker(int mask,int n){
		vector <int> node;
		
		for (int u = 1 ; u <= n ; u++)
		  if (1 << (u - 1) & mask)
		    node.push_back(u); 
		
		do{
		   bool kt = 1;
           for (int i = 1 ; i < node.size() ; i++)
             if (!E[node[i]][node[i - 1]]){
             	kt = 0;
             	break;
			 }
			
		    if (kt)
		    	for (int u : node)
		    	  path[node[0]][u][node.back()] = 1;
		}while (next_permutation(node.begin(),node.end()));
	}
	
	void solve(int n,int m){
		gen_edge(n);
		int lim_mask = (1 << n);
		
		for (int mask = 1 ; mask < lim_mask ; mask++)
		  if (__builtin_popcount(mask) >= 3)
		    checker(mask,n);
		
		int res = 0;
		for (int u = 1 ; u <= n ; u++)
		  for (int v = 1 ; v <= n ; v++)
		    for (int k = 1 ; k <= n ; k++)
		      if (u != v && v != k && u != k)
		        res += path[u][v][k];
		
		cout << res;
	}
}

ll res = 0;
int sz[maxn];

ll dfs(int u,int par,int n){
	sz[u] = 1;
	ll res = 0;
	
	for (int v : vec[u])
	  if (v != par){
	  	res += dfs(v,u,n);
	  	sz[u] += sz[v];
	  }
	
	ll cur1 = 0,cur2 = 0;
	
	for (int v : vec[u])
	  if (v != par){
	  	res += cur2 * (ll)sz[v];
	  	
	  	cur2 += cur1 * (ll)sz[v]; 
	  	cur1 += sz[v];
	  }
	
	res -= cur2 * (ll)(n - sz[u]);
	
	return res;
}

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);cout.tie(0);
	
	int n,m;
	cin >> n >> m;
	input(n,m);
	
	if (sub1::check(n,m)){
		sub1::solve(n,m);
		return 0;
	}
	
	res = (ll)n*(ll)(n - 1)*(ll)(n - 2)/6;
	res -= dfs(1,0,n);
	
	res *= 2;
	
	cout << res;

	return 0;
}

Compilation message

count_triplets.cpp: In function 'void sub1::checker(int, int)':
count_triplets.cpp:45:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   45 |            for (int i = 1 ; i < node.size() ; i++)
      |                             ~~^~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 38 ms 2652 KB Output is correct
7 Correct 35 ms 2652 KB Output is correct
8 Correct 45 ms 2652 KB Output is correct
9 Correct 63 ms 2648 KB Output is correct
10 Correct 164 ms 2652 KB Output is correct
11 Correct 36 ms 2652 KB Output is correct
12 Correct 41 ms 2652 KB Output is correct
13 Correct 36 ms 2652 KB Output is correct
14 Correct 36 ms 2652 KB Output is correct
15 Correct 36 ms 2652 KB Output is correct
16 Correct 35 ms 2652 KB Output is correct
17 Correct 35 ms 2652 KB Output is correct
18 Correct 43 ms 2652 KB Output is correct
19 Correct 34 ms 2652 KB Output is correct
20 Correct 34 ms 2652 KB Output is correct
21 Correct 41 ms 2652 KB Output is correct
22 Correct 36 ms 2648 KB Output is correct
23 Correct 5 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 5 ms 2652 KB Output is correct
26 Correct 36 ms 2652 KB Output is correct
27 Correct 2 ms 2652 KB Output is correct
28 Correct 5 ms 2652 KB Output is correct
29 Correct 35 ms 2664 KB Output is correct
30 Correct 2 ms 2652 KB Output is correct
31 Correct 5 ms 2652 KB Output is correct
32 Correct 36 ms 2652 KB Output is correct
33 Correct 5 ms 2652 KB Output is correct
34 Correct 5 ms 2664 KB Output is correct
35 Correct 35 ms 2652 KB Output is correct

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 38 ms 2652 KB Output is correct
7 Correct 35 ms 2652 KB Output is correct
8 Correct 45 ms 2652 KB Output is correct
9 Correct 63 ms 2648 KB Output is correct
10 Correct 164 ms 2652 KB Output is correct
11 Correct 36 ms 2652 KB Output is correct
12 Correct 41 ms 2652 KB Output is correct
13 Correct 36 ms 2652 KB Output is correct
14 Correct 36 ms 2652 KB Output is correct
15 Correct 36 ms 2652 KB Output is correct
16 Correct 35 ms 2652 KB Output is correct
17 Correct 35 ms 2652 KB Output is correct
18 Correct 43 ms 2652 KB Output is correct
19 Correct 34 ms 2652 KB Output is correct
20 Correct 34 ms 2652 KB Output is correct
21 Correct 41 ms 2652 KB Output is correct
22 Correct 36 ms 2648 KB Output is correct
23 Correct 5 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 5 ms 2652 KB Output is correct
26 Correct 36 ms 2652 KB Output is correct
27 Correct 2 ms 2652 KB Output is correct
28 Correct 5 ms 2652 KB Output is correct
29 Correct 35 ms 2664 KB Output is correct
30 Correct 2 ms 2652 KB Output is correct
31 Correct 5 ms 2652 KB Output is correct
32 Correct 36 ms 2652 KB Output is correct
33 Correct 5 ms 2652 KB Output is correct
34 Correct 5 ms 2664 KB Output is correct
35 Correct 35 ms 2652 KB Output is correct
36 Incorrect 2 ms 2648 KB Output isn't correct
37 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 981 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 2 ms 2652 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Incorrect 25 ms 7456 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Incorrect 2 ms 2652 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 31 ms 7660 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 38 ms 2652 KB Output is correct
7 Correct 35 ms 2652 KB Output is correct
8 Correct 45 ms 2652 KB Output is correct
9 Correct 63 ms 2648 KB Output is correct
10 Correct 164 ms 2652 KB Output is correct
11 Correct 36 ms 2652 KB Output is correct
12 Correct 41 ms 2652 KB Output is correct
13 Correct 36 ms 2652 KB Output is correct
14 Correct 36 ms 2652 KB Output is correct
15 Correct 36 ms 2652 KB Output is correct
16 Correct 35 ms 2652 KB Output is correct
17 Correct 35 ms 2652 KB Output is correct
18 Correct 43 ms 2652 KB Output is correct
19 Correct 34 ms 2652 KB Output is correct
20 Correct 34 ms 2652 KB Output is correct
21 Correct 41 ms 2652 KB Output is correct
22 Correct 36 ms 2648 KB Output is correct
23 Correct 5 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 5 ms 2652 KB Output is correct
26 Correct 36 ms 2652 KB Output is correct
27 Correct 2 ms 2652 KB Output is correct
28 Correct 5 ms 2652 KB Output is correct
29 Correct 35 ms 2664 KB Output is correct
30 Correct 2 ms 2652 KB Output is correct
31 Correct 5 ms 2652 KB Output is correct
32 Correct 36 ms 2652 KB Output is correct
33 Correct 5 ms 2652 KB Output is correct
34 Correct 5 ms 2664 KB Output is correct
35 Correct 35 ms 2652 KB Output is correct
36 Incorrect 2 ms 2648 KB Output isn't correct
37 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 38 ms 2652 KB Output is correct
7 Correct 35 ms 2652 KB Output is correct
8 Correct 45 ms 2652 KB Output is correct
9 Correct 63 ms 2648 KB Output is correct
10 Correct 164 ms 2652 KB Output is correct
11 Correct 36 ms 2652 KB Output is correct
12 Correct 41 ms 2652 KB Output is correct
13 Correct 36 ms 2652 KB Output is correct
14 Correct 36 ms 2652 KB Output is correct
15 Correct 36 ms 2652 KB Output is correct
16 Correct 35 ms 2652 KB Output is correct
17 Correct 35 ms 2652 KB Output is correct
18 Correct 43 ms 2652 KB Output is correct
19 Correct 34 ms 2652 KB Output is correct
20 Correct 34 ms 2652 KB Output is correct
21 Correct 41 ms 2652 KB Output is correct
22 Correct 36 ms 2648 KB Output is correct
23 Correct 5 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 5 ms 2652 KB Output is correct
26 Correct 36 ms 2652 KB Output is correct
27 Correct 2 ms 2652 KB Output is correct
28 Correct 5 ms 2652 KB Output is correct
29 Correct 35 ms 2664 KB Output is correct
30 Correct 2 ms 2652 KB Output is correct
31 Correct 5 ms 2652 KB Output is correct
32 Correct 36 ms 2652 KB Output is correct
33 Correct 5 ms 2652 KB Output is correct
34 Correct 5 ms 2664 KB Output is correct
35 Correct 35 ms 2652 KB Output is correct
36 Incorrect 2 ms 2648 KB Output isn't correct
37 Halted 0 ms 0 KB -