Submission #477111

# Submission time Handle Problem Language Result Execution time Memory
477111 2021-09-30T14:49:45 Z Jasiekstrz Pipes (BOI13_pipes) C++17
100 / 100
209 ms 23092 KB
#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
const int N=1e5,M=5e5;
int val[N+10];
vector<pair<int,int>> e[N+10];
bool vis[N+10];
bool on_c[N+10];
vector<int> stck;
int ans[M+10];
int pref[N+10];
int ss=0;
void on_cycle(int x)
{
	vis[x]=true;
	stck.push_back(x);
	for(auto v:e[x])
	{
		if(!vis[v.fi])
			on_cycle(v.fi);
		else if(!on_c[x] && stck.size()>=2 && stck[stck.size()-2]!=v.fi)
		{
			for(size_t i=stck.size()-1;stck[i]!=v.fi;i--)
				on_c[stck[i]]=true;
			on_c[v.fi]=true;
		}
	}
	stck.pop_back();
}
void solve_trees(int x,int p)
{
	for(auto v:e[x])
	{
		if(on_c[v.fi] || v.fi==p)
			continue;
		solve_trees(v.fi,x);
		ans[v.se]=2*val[v.fi];
		val[x]-=val[v.fi];
	}
	return;
}
void get_pref(int x,int p,int p0)
{
	for(auto v:e[x])
	{
		if(!on_c[v.fi] || v.fi==p || v.fi==p0)
			continue;
		pref[v.fi]=val[v.fi]-pref[x];
		get_pref(v.fi,x,p0);
		return;
	}
	ss=pref[x];
	return;
}
void solve_cycle(int x,int p,int p0,bool sgn_x) // true -> +, false -> -
{
	for(auto v:e[x])
	{
		if(!on_c[v.fi] || v.fi==p)
			continue;
		if(v.fi==p0)
		{
			ans[v.se]=ss;
			return;
		}
		if(sgn_x)
			ans[v.se]=-ss+2*pref[x];
		else
			ans[v.se]=ss+2*pref[x];
		solve_cycle(v.fi,x,p0,!sgn_x);
		return;
	}
	return;
}
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	int n,m;
	cin>>n>>m;
	for(int i=1;i<=n;i++)
		cin>>val[i];
	for(int i=1;i<=m;i++)
	{
		int a,b;
		cin>>a>>b;
		e[a].emplace_back(b,i);
		e[b].emplace_back(a,i);
	}
	if(m>n)
	{
		cout<<"0\n";
		return 0;
	}
	if(m<n)
		solve_trees(1,0);
	else
	{
		on_cycle(1);
		int cnt_c=0,cc=0;
		for(int i=1;i<=n;i++)
		{
			if(on_c[i])
			{
				solve_trees(i,0);
				cnt_c++;
				cc=i;
			}
		}
		if(cnt_c%2==0)
		{
			cout<<"0\n";
			return 0;
		}
		pref[cc]=val[cc];
		get_pref(cc,0,cc);
		solve_cycle(cc,0,cc,true);
	}
	for(int i=1;i<=m;i++)
		cout<<ans[i]<<"\n";
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 2 ms 2636 KB Output is correct
3 Correct 2 ms 2636 KB Output is correct
4 Correct 62 ms 9176 KB Output is correct
5 Correct 2 ms 2636 KB Output is correct
6 Correct 2 ms 2684 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 3 ms 2636 KB Output is correct
9 Correct 2 ms 2636 KB Output is correct
10 Correct 2 ms 2636 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 53 ms 7820 KB Output is correct
14 Correct 87 ms 8776 KB Output is correct
15 Correct 72 ms 9100 KB Output is correct
16 Correct 60 ms 8140 KB Output is correct
17 Correct 71 ms 9156 KB Output is correct
18 Correct 62 ms 9156 KB Output is correct
19 Correct 75 ms 12412 KB Output is correct
20 Correct 2 ms 2668 KB Output is correct
21 Correct 3 ms 2636 KB Output is correct
22 Correct 66 ms 9144 KB Output is correct
23 Correct 51 ms 7748 KB Output is correct
24 Correct 64 ms 9124 KB Output is correct
25 Correct 55 ms 8080 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 2 ms 2764 KB Output is correct
3 Correct 74 ms 11368 KB Output is correct
4 Correct 47 ms 7792 KB Output is correct
5 Correct 46 ms 8060 KB Output is correct
6 Correct 179 ms 23036 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 2 ms 2636 KB Output is correct
9 Correct 2 ms 2636 KB Output is correct
10 Correct 2 ms 2636 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 3 ms 2688 KB Output is correct
13 Correct 2 ms 2680 KB Output is correct
14 Correct 2 ms 2636 KB Output is correct
15 Correct 2 ms 2764 KB Output is correct
16 Correct 2 ms 2764 KB Output is correct
17 Correct 2 ms 2696 KB Output is correct
18 Correct 2 ms 2636 KB Output is correct
19 Correct 2 ms 2636 KB Output is correct
20 Correct 2 ms 2636 KB Output is correct
21 Correct 3 ms 2764 KB Output is correct
22 Correct 3 ms 2764 KB Output is correct
23 Correct 57 ms 11712 KB Output is correct
24 Correct 72 ms 13000 KB Output is correct
25 Correct 65 ms 11348 KB Output is correct
26 Correct 42 ms 7924 KB Output is correct
27 Correct 50 ms 7752 KB Output is correct
28 Correct 47 ms 8260 KB Output is correct
29 Correct 154 ms 19324 KB Output is correct
30 Correct 77 ms 14960 KB Output is correct
31 Correct 92 ms 15092 KB Output is correct
32 Correct 82 ms 10820 KB Output is correct
33 Correct 66 ms 12352 KB Output is correct
34 Correct 46 ms 7844 KB Output is correct
35 Correct 47 ms 7852 KB Output is correct
36 Correct 47 ms 8148 KB Output is correct
37 Correct 209 ms 23092 KB Output is correct
38 Correct 77 ms 14272 KB Output is correct
39 Correct 65 ms 10364 KB Output is correct
40 Correct 74 ms 12816 KB Output is correct
41 Correct 62 ms 14268 KB Output is correct
42 Correct 46 ms 7752 KB Output is correct
43 Correct 42 ms 7676 KB Output is correct
44 Correct 43 ms 8024 KB Output is correct
45 Correct 155 ms 20408 KB Output is correct
46 Correct 77 ms 15676 KB Output is correct
47 Correct 78 ms 12868 KB Output is correct
48 Correct 83 ms 14908 KB Output is correct
49 Correct 53 ms 9540 KB Output is correct
50 Correct 51 ms 7892 KB Output is correct
51 Correct 47 ms 8056 KB Output is correct
52 Correct 46 ms 7768 KB Output is correct
53 Correct 166 ms 20420 KB Output is correct
54 Correct 78 ms 13800 KB Output is correct