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1041.cpp
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1041.cpp
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#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define PI (acos(-1))
#define ct cout<<
#define cn cin>>
#define spc <<" "<<
#define nl puts("")
#define _fl(x) puts("FLAG " #x);
#define _(x) cout<< #x <<" is "<< x <<endl;
#define fs first
#define sc second
#define pb push_back
#define all(v) (v).begin(), (v).end()
#define _109 (1000000000)
#define _0(arr) memset(arr,0,sizeof ( arr ) )
#define _1(arr) memset(arr,-1,sizeof ( arr ) )
#define _ninp(n,arr) for(int i=0; i<n;i++)cin>>arr[i];
#define _nout(n,arr) for(int i=0; i<n;i++)cout<<arr[i]<<" \n"[i==n-1];
double _eps=1e-6;
long long gcd(long long a, long long b) {
if (b == 0)
return a;
return gcd(b, a % b);
}
int par[60];
int f(int v){
if(v==par[v])return v;
return par[v]=f(par[v]);
}
#define pii pair<int,pair<int,int>>
ll mst(int n){
priority_queue<pii,vector<pii>, greater<pii>> pq;
for (int i = 0; i <=59; ++i)
{
par[i]=i;
}
ll sum=0;
map<string,int>mp;
int mpcnt=1;
for (int i = 0; i < n; ++i)
{
int a;
string u,v;
cn u>>v>>a;
int ua,va;
if(mp.count(u))ua=mp[u];
else{
ua=mpcnt++;
mp[u]=ua;
}
if(mp.count(v))va=mp[v];
else{
va=mpcnt++;
mp[v]=va;
}
pq.push({a,{ua,va}});
}
int setcnt=mpcnt-1;
ll msum=0;
while(!pq.empty()){
int w=pq.top().fs;
int u=pq.top().sc.fs;
int v=pq.top().sc.sc;
pq.pop();
int a=f(u);
int b=f(v);
if(a!=b){
par[a]=b;
msum+=w;
setcnt--;
}
}
if(setcnt!=1)return -1;
else return msum;
}
int main() {
int T;
cn T;
for(int caseno=1; caseno<=T ;caseno++){
int n;
cn n;
ll x=mst(n);
if(x==-1)printf("Case %d: Impossible\n",caseno);
else printf("Case %d: %lld\n",caseno,x);
}
return 0;
}