/* Bismillahir Rahmanir Rahim
Solution using MST(Kruskal's algorithm)
*/
#include<bits/stdc++.h>
#define fi(n, m) for(int i=n; i<=m; i++)
#define fd(n, m) for(int i=n; i>=m; i--)
using namespace std;
int x, pr[105], n;
struct edge{
int u, v, w;
}one[12005];
bool comp(edge f, edge s){
return f.w<s.w;
}
int find(int p){
if(pr[p]==p) return p;
else return find(pr[p]);
}
int mst(int st){
int cnt=0, sm=0, xx, yy;
fi(0, n)pr[i]=i;
fi(0, x-1){
xx=find(one[i].u);
yy=find(one[i].v);
if(xx!=yy){
cnt++;
sm+=one[i].w;
pr[yy]=xx;
}
if(cnt==n) break;
}
return sm;
}
int mxst(int st){
int cnt=0, sm=0, xx, yy;
fi(0, n)pr[i]=i;
fd(x-1, 0){
xx=find(one[i].u);
yy=find(one[i].v);
if(xx!=yy){
cnt++;
pr[yy]=xx;
sm+=one[i].w;
}
if(cnt==n) break;
}
return sm;
}
int main(){
int t, cs=1, u, v, w, up, dwn;
cin>>t;
while(t--){
cin>>n;
x=0;
while(1){
cin>>u>>v>>w;
if(u==0&&v==0&&w==0) break;
one[x].u=u;
one[x].v=v;
one[x].w=w;
x++;
}
sort(one, one+x, comp);
up=mxst(0);
dwn=mst(0);
cout<<"Case "<<cs++<<": ";
if((up+dwn)%2==0) cout<<(up+dwn)/2<<endl;
else cout<<up+dwn<<"/"<<2<<endl;
}
return 0;
}
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Monday, February 20, 2017
Solution of Light OJ 1029-Civil and Evil Engineer
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