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Submission #982359

# Submission time Handle Problem Language Result Execution time Memory
982359 2024-05-14T07:24:13 Z Faisal_Saqib Duathlon (APIO18_duathlon) C++17
36 / 100
 699 ms 1048576 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ll long long
const int N=1e5+10;
vector<int> ma[N];
// ll pre[N];
bool vis[N];
ll ans=0,sz[N],dp[N],dp_[N];
void dfs(int x,int p=-1)
{
	sz[x]=1;
	vis[x]=1;
	for(auto y:ma[x])
	{
		if(y!=p)
		{
			dfs(y,x);
			sz[x]+=sz[y];
			dp[x]-=(sz[y]*sz[y]);
		}
	}
	dp[x]+=((sz[x]-1)*(sz[x]-1));
}
void ChangeRoot(int x,int y)
{
	// 
	dp[x]+=(sz[y]*sz[y]);
	dp[x]-=((sz[x]-1)*(sz[x]-1));
	dp[y]-=((sz[y]-1)*(sz[y]-1));
	sz[x]-=sz[y];
	sz[y]+=sz[x];
	dp[x]+=((sz[x]-1)*(sz[x]-1));
	dp[y]+=((sz[y]-1)*(sz[y]-1));
	dp[y]-=(sz[x]*sz[x]);
}
void dfs_(int x,int p=-1)
{
	vis[x]=1;
	ans+=dp[x];
	for(auto y:ma[x])
	{
		if(y!=p)
		{			
			ChangeRoot(x,y);
			dfs_(y,x);
			ChangeRoot(y,x);
		}
	}
}
bool cycle=0;
int nodes=0;
void _dfs(int x,int p=-1)
{
	vis[x]=1;
	nodes++;
	for(auto y:ma[x])
	{
		if(y!=p)
		{
			if(vis[y])
			{
				cycle=1;
			}
			else
			{
				_dfs(y,x);
			}
		}
	}
}
int f_cyc(int x)
{
	return (x*(x-1)*(x-2));
}
// int f_lin(int x)
// {
// 	ll cur=(x-1)*(x-1)*(x-1);
// 	return cur-(pre[x-1]);
// }
int f_lin_brute(int x)
{
	ll ans=0;
	ll sp=(x-1)*(x-1);
	for(int j=1;j<=x;j++)
		ans+=(sp-((j-1)*(j-1))-((x-j)*(x-j)));
	return ans;
}
bool senpai[12][12][12];
vector<int> path;
void full(int x)
{
	vis[x]=1;
	for(auto y:ma[x])
	{
		if(!vis[y])
		{
			path.push_back(y);
			full(y);
			path.pop_back();
		}
	}
	for(int i=1;(i+1)<path.size();i++)
		senpai[path[0]][path[i]][path.back()]=1;
	vis[x]=0;
}
void solve()
{
	// int n,m;
	// cin>>n;
	// // m=n-1;
	int n,m;
	cin>>n>>m;
	vector<int> deg(n+2);
	for(int i=0;i<m;i++)
	{
		int x=i+1,y=i+2;
		cin>>x>>y;
		deg[x]++;
		deg[y]++;
		ma[x].push_back(y);
		ma[y].push_back(x);
	}
	int mx=0;
	for(int i=1;i<=n;i++)
		mx=max(mx,deg[i]);
	if(n<=10)
	{
		for(int i=1;i<=n;i++)
		{
			path.push_back(i);
			full(i);
			path.pop_back();
		}
		for(int a=1;a<=n;a++)
			for(int b=1;b<=n;b++)
				for(int c=1;c<=n;c++)
					ans+=senpai[a][b][c];
	}
	else if(mx<=2)
	{
		// Solve a Cycle or a Path
		for(int i=1;i<=n;i++)
		{
			if(!vis[i])
			{
				cycle=0;
				nodes=0;
				_dfs(i);
				if(cycle)
				{
					ans+=f_cyc(nodes);
				}
				else
				{
					ans+=f_lin_brute(nodes);
				}
			}
		}
	}
	else
	{
		// Solve on Tree	
		for(int i=1;i<=n;i++)
		{
			if(!vis[i])
			{
				dfs(i);
			}
		}
		for(int i=1;i<=n;i++)
			vis[i]=0;
		for(int i=1;i<=n;i++)
		{
			if(!vis[i])
			{
				dfs_(i);
			}
		}
	}
	cout<<ans<<'\n';
}
signed main()
{
  cin.tie(0);
  cout.tie(0);
  ios::sync_with_stdio(0);
  // pre[0]=0;
  // ll asp=1e5+1;
  // for(int i=1;i<=asp;i++)
  // 	pre[i]=pre[i-1]+(i*i);
  solve();
}

Compilation message

count_triplets.cpp: In function 'void full(long long int)':
count_triplets.cpp:103:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  103 |  for(int i=1;(i+1)<path.size();i++)
      |              ~~~~~^~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2904 KB Output is correct
2 Correct 1 ms 2908 KB Output is correct
3 Correct 1 ms 2908 KB Output is correct
4 Correct 1 ms 2908 KB Output is correct
5 Correct 1 ms 2908 KB Output is correct
6 Correct 1 ms 2908 KB Output is correct
7 Correct 1 ms 2908 KB Output is correct
8 Correct 1 ms 2904 KB Output is correct
9 Correct 10 ms 3032 KB Output is correct
10 Correct 226 ms 2908 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 1 ms 2908 KB Output is correct
14 Correct 1 ms 2908 KB Output is correct
15 Correct 1 ms 2908 KB Output is correct
16 Correct 1 ms 2908 KB Output is correct
17 Correct 1 ms 2908 KB Output is correct
18 Correct 1 ms 2908 KB Output is correct
19 Correct 1 ms 2908 KB Output is correct
20 Correct 1 ms 2908 KB Output is correct
21 Correct 1 ms 2908 KB Output is correct
22 Correct 2 ms 3164 KB Output is correct
23 Correct 1 ms 2904 KB Output is correct
24 Correct 1 ms 2908 KB Output is correct
25 Correct 1 ms 2908 KB Output is correct
26 Correct 1 ms 2908 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 1 ms 2904 KB Output is correct
29 Correct 1 ms 2904 KB Output is correct
30 Correct 1 ms 2908 KB Output is correct
31 Correct 1 ms 2908 KB Output is correct
32 Correct 1 ms 2908 KB Output is correct
33 Correct 1 ms 3028 KB Output is correct
34 Correct 1 ms 2908 KB Output is correct
35 Correct 1 ms 2908 KB Output is correct

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2904 KB Output is correct
2 Correct 1 ms 2908 KB Output is correct
3 Correct 1 ms 2908 KB Output is correct
4 Correct 1 ms 2908 KB Output is correct
5 Correct 1 ms 2908 KB Output is correct
6 Correct 1 ms 2908 KB Output is correct
7 Correct 1 ms 2908 KB Output is correct
8 Correct 1 ms 2904 KB Output is correct
9 Correct 10 ms 3032 KB Output is correct
10 Correct 226 ms 2908 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 1 ms 2908 KB Output is correct
14 Correct 1 ms 2908 KB Output is correct
15 Correct 1 ms 2908 KB Output is correct
16 Correct 1 ms 2908 KB Output is correct
17 Correct 1 ms 2908 KB Output is correct
18 Correct 1 ms 2908 KB Output is correct
19 Correct 1 ms 2908 KB Output is correct
20 Correct 1 ms 2908 KB Output is correct
21 Correct 1 ms 2908 KB Output is correct
22 Correct 2 ms 3164 KB Output is correct
23 Correct 1 ms 2904 KB Output is correct
24 Correct 1 ms 2908 KB Output is correct
25 Correct 1 ms 2908 KB Output is correct
26 Correct 1 ms 2908 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 1 ms 2904 KB Output is correct
29 Correct 1 ms 2904 KB Output is correct
30 Correct 1 ms 2908 KB Output is correct
31 Correct 1 ms 2908 KB Output is correct
32 Correct 1 ms 2908 KB Output is correct
33 Correct 1 ms 3028 KB Output is correct
34 Correct 1 ms 2908 KB Output is correct
35 Correct 1 ms 2908 KB Output is correct
36 Correct 1 ms 2908 KB Output is correct
37 Correct 1 ms 4952 KB Output is correct
38 Runtime error 699 ms 1048576 KB Execution killed with signal 9
39 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 11860 KB Output is correct
2 Correct 29 ms 12892 KB Output is correct
3 Correct 29 ms 10324 KB Output is correct
4 Correct 31 ms 11612 KB Output is correct
5 Correct 32 ms 9564 KB Output is correct
6 Correct 28 ms 9560 KB Output is correct
7 Correct 29 ms 9052 KB Output is correct
8 Correct 28 ms 9300 KB Output is correct
9 Correct 34 ms 8792 KB Output is correct
10 Correct 28 ms 9044 KB Output is correct
11 Correct 24 ms 7764 KB Output is correct
12 Correct 25 ms 7764 KB Output is correct
13 Correct 21 ms 7516 KB Output is correct
14 Correct 21 ms 7536 KB Output is correct
15 Correct 17 ms 7004 KB Output is correct
16 Correct 17 ms 6792 KB Output is correct
17 Correct 2 ms 3672 KB Output is correct
18 Correct 2 ms 3676 KB Output is correct
19 Correct 3 ms 3676 KB Output is correct
20 Correct 2 ms 3676 KB Output is correct
21 Correct 2 ms 3676 KB Output is correct
22 Correct 2 ms 3676 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4956 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Correct 1 ms 4956 KB Output is correct
4 Correct 1 ms 2904 KB Output is correct
5 Correct 1 ms 4956 KB Output is correct
6 Correct 1 ms 4956 KB Output is correct
7 Correct 1 ms 2908 KB Output is correct
8 Correct 1 ms 4952 KB Output is correct
9 Correct 1 ms 4956 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4952 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 1 ms 4956 KB Output is correct
14 Correct 1 ms 4956 KB Output is correct
15 Correct 1 ms 4956 KB Output is correct
16 Correct 1 ms 4956 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 1 ms 4956 KB Output is correct
19 Correct 1 ms 4956 KB Output is correct
20 Correct 1 ms 4956 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 9364 KB Output is correct
2 Correct 39 ms 9556 KB Output is correct
3 Correct 30 ms 9560 KB Output is correct
4 Correct 31 ms 9596 KB Output is correct
5 Correct 31 ms 9572 KB Output is correct
6 Correct 30 ms 9304 KB Output is correct
7 Correct 34 ms 12188 KB Output is correct
8 Correct 33 ms 11604 KB Output is correct
9 Correct 32 ms 10832 KB Output is correct
10 Correct 33 ms 9564 KB Output is correct
11 Correct 30 ms 9564 KB Output is correct
12 Correct 30 ms 9552 KB Output is correct
13 Correct 30 ms 9556 KB Output is correct
14 Correct 28 ms 9176 KB Output is correct
15 Correct 24 ms 8976 KB Output is correct
16 Correct 17 ms 8284 KB Output is correct
17 Correct 22 ms 9604 KB Output is correct
18 Correct 25 ms 9800 KB Output is correct
19 Correct 22 ms 9668 KB Output is correct
20 Correct 26 ms 9784 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4952 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Runtime error 664 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 Correct 36 ms 9564 KB Output is correct
2 Correct 31 ms 9304 KB Output is correct
3 Runtime error 692 ms 1048576 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2904 KB Output is correct
2 Correct 1 ms 2908 KB Output is correct
3 Correct 1 ms 2908 KB Output is correct
4 Correct 1 ms 2908 KB Output is correct
5 Correct 1 ms 2908 KB Output is correct
6 Correct 1 ms 2908 KB Output is correct
7 Correct 1 ms 2908 KB Output is correct
8 Correct 1 ms 2904 KB Output is correct
9 Correct 10 ms 3032 KB Output is correct
10 Correct 226 ms 2908 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 1 ms 2908 KB Output is correct
14 Correct 1 ms 2908 KB Output is correct
15 Correct 1 ms 2908 KB Output is correct
16 Correct 1 ms 2908 KB Output is correct
17 Correct 1 ms 2908 KB Output is correct
18 Correct 1 ms 2908 KB Output is correct
19 Correct 1 ms 2908 KB Output is correct
20 Correct 1 ms 2908 KB Output is correct
21 Correct 1 ms 2908 KB Output is correct
22 Correct 2 ms 3164 KB Output is correct
23 Correct 1 ms 2904 KB Output is correct
24 Correct 1 ms 2908 KB Output is correct
25 Correct 1 ms 2908 KB Output is correct
26 Correct 1 ms 2908 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 1 ms 2904 KB Output is correct
29 Correct 1 ms 2904 KB Output is correct
30 Correct 1 ms 2908 KB Output is correct
31 Correct 1 ms 2908 KB Output is correct
32 Correct 1 ms 2908 KB Output is correct
33 Correct 1 ms 3028 KB Output is correct
34 Correct 1 ms 2908 KB Output is correct
35 Correct 1 ms 2908 KB Output is correct
36 Correct 1 ms 2908 KB Output is correct
37 Correct 1 ms 4952 KB Output is correct
38 Runtime error 699 ms 1048576 KB Execution killed with signal 9
39 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2904 KB Output is correct
2 Correct 1 ms 2908 KB Output is correct
3 Correct 1 ms 2908 KB Output is correct
4 Correct 1 ms 2908 KB Output is correct
5 Correct 1 ms 2908 KB Output is correct
6 Correct 1 ms 2908 KB Output is correct
7 Correct 1 ms 2908 KB Output is correct
8 Correct 1 ms 2904 KB Output is correct
9 Correct 10 ms 3032 KB Output is correct
10 Correct 226 ms 2908 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 1 ms 2908 KB Output is correct
14 Correct 1 ms 2908 KB Output is correct
15 Correct 1 ms 2908 KB Output is correct
16 Correct 1 ms 2908 KB Output is correct
17 Correct 1 ms 2908 KB Output is correct
18 Correct 1 ms 2908 KB Output is correct
19 Correct 1 ms 2908 KB Output is correct
20 Correct 1 ms 2908 KB Output is correct
21 Correct 1 ms 2908 KB Output is correct
22 Correct 2 ms 3164 KB Output is correct
23 Correct 1 ms 2904 KB Output is correct
24 Correct 1 ms 2908 KB Output is correct
25 Correct 1 ms 2908 KB Output is correct
26 Correct 1 ms 2908 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 1 ms 2904 KB Output is correct
29 Correct 1 ms 2904 KB Output is correct
30 Correct 1 ms 2908 KB Output is correct
31 Correct 1 ms 2908 KB Output is correct
32 Correct 1 ms 2908 KB Output is correct
33 Correct 1 ms 3028 KB Output is correct
34 Correct 1 ms 2908 KB Output is correct
35 Correct 1 ms 2908 KB Output is correct
36 Correct 1 ms 2908 KB Output is correct
37 Correct 1 ms 4952 KB Output is correct
38 Runtime error 699 ms 1048576 KB Execution killed with signal 9
39 Halted 0 ms 0 KB -