Submission #385522

# Submission time Handle Problem Language Result Execution time Memory
385522 2021-04-04T14:23:42 Z ogibogi2004 Toll (APIO13_toll) C++14
0 / 100
1 ms 620 KB
#include<bits/stdc++.h>
using namespace std;
const int INF=1e9;
int n,m,k;
struct edge
{
	int u,v,w;
	bool operator<(edge const& other)const
	{
		return w<other.w;
	}
};
int ans,sum;
vector<edge>e;
vector<edge>nmst;
vector<edge>mst;
int st[20],en[20];
vector<pair<int,int> >g[1024];
int par[1024],sz[1024];
int dp1[1024][12];
int depth[1024];
int h[1024];
vector<int>spec[1024][12];
int getRoot(int u)
{
	if(u==par[u])return u;
	return par[u]=getRoot(par[u]);
}
void join(int p,int q)
{
	if(sz[p]>sz[q])
	{
		par[q]=p;
		sz[p]+=sz[q];
	}
	else
	{
		par[p]=q;
		sz[q]+=sz[p];
	}
}
void dfs(int u,int p,int s)
{
	dp1[u][0]=p;
	depth[u]=depth[p]+1;
	if(s>=0)spec[u][0].push_back(s);
	for(auto xd:g[u])
	{
		if(xd.first==p)continue;
		if(xd.second>0)dfs(xd.first,u,-1);
		else dfs(xd.first,u,-xd.second);
	}
}
void precompute()
{
	for(int step=0;step<10;step++)
	{
		for(int i=1;i<=n;i++)
		{
			spec[i][step+1]=spec[i][step];
			for(auto xd:spec[dp1[i][step]][step])
			{
				spec[i][step+1].push_back(xd);
			}
			dp1[i][step]=dp1[dp1[i][step]][step];
		}
	}
}
vector<int> on_path(int x,int y)
{
	if(depth[x]<depth[y])swap(x,y);
	int diff=depth[x]-depth[y];
	vector<int>ret;
	for(int i=0;i<12;i++)
	{
		if(diff&(1<<i))
		{
			for(auto xd:spec[x][i])
			{
				ret.push_back(xd);
			}
			x=dp1[x][i];
		}
	}
	if(x==y)return ret;
	for(int i=11;i>=0;i--)
	{
		if(dp1[x][i]!=dp1[y][i])
		{
			for(auto xd:spec[x][i])
			{
				ret.push_back(xd);
			}
			for(auto xd:spec[y][i])
			{
				ret.push_back(xd);
			}
			x=dp1[x][i];
			y=dp1[y][i];
		}
	}
	for(auto xd:spec[x][0])ret.push_back(xd);
	for(auto xd:spec[y][0])ret.push_back(xd);
	return ret;
}
int res[22];
int sbt[1024];
void dfs1(int u,int p)
{
	sbt[u]=h[u];
	for(auto xd:g[u])
	{
		if(xd.first==p)continue;
		dfs1(xd.first,u);
		if(xd.second<=0)
		{
			sum+=sbt[xd.first]*res[-xd.second];
		}
		sbt[u]+=sbt[xd.first];
	}
}
void check(int mask)
{
	for(int i=1;i<=n;i++)
	{
		g[i].clear();
		par[i]=i;sz[i]=1;
		for(int j=0;j<12;j++)spec[i][j].clear();
	}
	mst.clear();
	nmst.clear();
	for(int i=0;i<k;i++)
	{
		if(mask&(1<<i))
		{
			int p=getRoot(st[i]);
			int q=getRoot(en[i]);
			if(p==q)return;
			join(p,q);
			mst.push_back({st[i],en[i],-i});
		}
	}
	for(auto ed:e)
	{
		int p=getRoot(ed.u);
		int q=getRoot(ed.v);
		if(p==q)
		{
			nmst.push_back(ed);
			continue;
		}
		join(p,q);
		mst.push_back(ed);
	}
	for(int i=0;i<mst.size();i++)
	{
		g[mst[i].u].push_back({mst[i].v,mst[i].w});
		g[mst[i].v].push_back({mst[i].u,mst[i].w});
	}
	dfs(1,0,0);
	precompute();
	for(int i=0;i<=k;i++)res[i]=INF;
	for(auto xd:nmst)
	{
		vector<int>v=on_path(xd.u,xd.v);
		for(auto dx:v)
		{
			res[dx]=min(res[dx],xd.w);
		}
	}
	for(int i=0;i<1024;i++)sbt[i]=0;
	sum=0;
	dfs1(1,0);
	ans=max(ans,sum);
}
int main()
{
	cin>>n>>m>>k;
	for(int i=1;i<=m;i++)
	{
		int x,y,z;
		cin>>x>>y>>z;
		e.push_back({x,y,z});
	}
	sort(e.begin(),e.end());
	for(int i=0;i<k;i++)
	{
		cin>>st[i]>>en[i];
	}
	for(int i=1;i<=n;i++)cin>>h[i];
	for(int mask=0;mask<(1<<k);mask++)
	{
		check(mask);
	}
	cout<<ans<<endl;
return 0;
}
/*
5 5 1
3 5 2
1 2 3
2 3 5
2 4 4
4 3 6
1 3
10 20 30 40 50
*/

Compilation message

toll.cpp: In function 'void check(int)':
toll.cpp:155:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<edge>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  155 |  for(int i=0;i<mst.size();i++)
      |              ~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 620 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 620 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 620 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 620 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 620 KB Output isn't correct
2 Halted 0 ms 0 KB -