Uva 1395 slim span
解題:
Kruskal 變化題:窮舉所有最小邊做Kruskal (從原來邊1~m,2~m,3~m直到無法形成MST(總編數不夠)
Code:
Kruskal 變化題:窮舉所有最小邊做Kruskal (從原來邊1~m,2~m,3~m直到無法形成MST(總編數不夠)
Code:
#include<stdio.h>
#include<stdlib.h>
#include<iostream>
#include<algorithm>
#include<queue>
#define MAXN 10005
using namespace std;
typedef pair<int ,int> ii;
priority_queue<ii,vector<ii>,greater<ii> > edges[5000];
int n,m;
int g[MAXN];
int initial()
{
for(int i=1; i<=n; i++)
{
g[i]=i;
}
}
int Find(int a)
{
if(a!=g[a])
{
g[a]=Find(g[a]);
}
return g[a];
}
void Union(int a,int b)
{
if(Find(a)!=Find(b))
{
g[g[a]]=g[b];
}
}
int kruskal(priority_queue<pair<int,ii> > &pq)
{
priority_queue<pair<int,ii> > tmpq(pq);
int diff=10000000;
int minn=10000000;
while(!tmpq.empty())
{
vector<int> path;
pair<int,ii> tmptop;
initial();
priority_queue<pair<int,ii> > ttt(tmpq);
while(!ttt.empty())
{
pair<int,ii> top=ttt.top();
ttt.pop();
int u=top.second.first,v=top.second.second;
if(Find(u)!=Find(v))
{
Union(u,v);
path.push_back(0-top.first);
}
if(path.size()==n-1)
{
diff=path.back()-path.front();
break;
}
}
minn=min(diff,minn);
tmptop=tmpq.top();
tmpq.pop();
}
return minn;
}
int main()
{
while(cin>>n>>m && (n!=0||m!=0))
{
priority_queue<pair<int,ii> > pq;
for(int i=0; i<m; i++)
{
int a,b,c;
cin>>a>>b>>c;
pq.push(make_pair(0-c,ii(a,b)));
}
initial();
int ans=kruskal(pq);
if(ans==10000000) cout<<"-1"<<endl;
else cout<<ans<<endl;
}
return 0;
}
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