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Kruscal+枚举

Posted by 2015110720 at 2018-07-05 19:22:53 on Problem 3522
#include<iostream>
#include<algorithm>
#include<string.h>
using namespace std;
/*
  Kruscal加上枚举,枚举第一个加入生成树的边
  (从小到大)
*/
const int maxn=105;
const int maxm=5005;
const int INF=10010;

struct edge
{
	int u,v,w;
}e[maxm];

int n,m;
int pre[maxn];

int cmp(edge a,edge b)
{
	return a.w<b.w;
}

int find(int x)//并查集找到树根
{
	int r=x;
	while(r!=pre[r])r=pre[r];
	int i=x,j;
	while(i!=r)
	{
		j=pre[i];
		pre[i]=r;
		i=j;
	}
	return r;
}

int min(int a,int b)
{
	return (a<b)?a:b;
}

int max(int a,int b)
{
	return (a>b)?a:b;
}

int kruscal(int x)
{
	int big=0,small=10005,count=0;
	for(int i=x;i<m;i++)
	{
		int u=e[i].u,v=e[i].v,w=e[i].w;
		int gu=find(u),gv=find(v);
		if(gu!=gv)
		{
			pre[gu]=gv;
			big=max(big,w);
			small=min(small,w);
			count++;
		}
		if(count>=n-1)break;
	}
	if(count>=n-1)return (big-small);
	else return INF;
}


int main()
{	
	while(cin>>n>>m)
	{
		if(n==0 && m==0)break;
		for(int i=0;i<m;i++)
		{
			cin>>e[i].u>>e[i].v>>e[i].w;
		}
		sort(e,e+m,cmp);
		
		int res=INF;
		
		for(int i=0;i<m;i++)
		{
			for(int j=1;j<=n;j++)pre[j]=j;
			res=min(res,kruscal(i));
		}
		
		if(res==INF)cout<<-1<<endl;
		else cout<<res<<endl;
	}
	return 0;
}

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