This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#include <algorithm>
#include <vector>
#include <unordered_map>
#define append push_back
#define int long long
#define vi vector<int>
#define pi pair<int,int>
#define vv vector<vector<int>>
#define vb vector<bool>
#define vl vector<long long>
#define ff first
#define ss second
#define ul map<int,vector<pi>>
#define us unordered_map<int,set<int>>
#define ub unordered_map<int,bool>
#define ui unordered_map<int,int>
#define ll long long
#define fi cin.tie(NULL)
#define fu cout.tie(NULL)
using namespace std;
vi parent;
ul graph;
vi sizes;
vv edges;
int n,m,u,v,w,e,k;
vi dijkstra()
{
vi distance(n+1,1e9);
distance[1]=0;
priority_queue<pi> q;
q.push({0,1});
while (q.size())
{
int now=q.top().ss;
q.pop();
for (auto sp: graph[now])
{
if (distance[sp.ff]>distance[now]+sp.ss)
{
distance[sp.ff]=distance[now]+sp.ss;
q.push({distance[sp.ff],sp.ff});
}
}
}
return distance;
}
vector<pi> nedges;
int get(int x){
if( parent[x]==x) return x;
parent[x] = get(parent[x]) ;
return parent[x];
}
void union_(int a,int b ){
int a_r=get(a);
int b_r=get(b);
if (a_r==b_r) return;
if (sizes[a_r]<sizes[b_r]) swap(a_r,b_r);
parent[b_r]=a_r;
sizes[a_r]+=sizes[b_r];}
bool compare(vi &a ,vi &b)
{
if (a[2]<b[2]){return true;}
return false;
}
signed main() {
fi;fu;
cin>>n>>m>>k;
for(int i=0;i<n+1;i++){parent.append(i);sizes.append(1);}
for(int i=0;i<m;i++)
{
cin>>u>>v>>w;
edges.append({u,v,w});
}
for(int i=0;i<k;i++)
{
cin>>u>>v;
nedges.append({u,v});
}
u=0;v=0,w=0;
int total=0;
sort(edges.begin(),edges.end(),compare);
for(int i=0 ;i<m;i++)
{
u=edges[i][0];
v=edges[i][1];
w=edges[i][2];
// cout<<u<<" "<<v<<" "<<w<<endl;
if (get(u)==get(v)) continue;
else
{
bool ok=0;
for(pi sp:nedges)
{
if ((get(sp.ff)==get(u) and get(sp.ss)==get(v)) or (get(sp.ss)==get(u) and get(sp.ff)==get(v)))
{
ok=1;
graph[sp.ff].append({sp.ss,w});
graph[sp.ss].append({sp.ff,w});
union_(sp.ff,sp.ss);
break;
}
}
if (!ok)
{
union_(u,v);
graph[u].append({v,0});
graph[v].append({u,0});
}
}
}
vi d=dijkstra();
for (int i=1;i<=n;i++)
{
cin>>e;
total+=e*d[i];
// cout<<d[i]<<" ";
}
// for (auto i :parent){cout<<i<<" ";}
cout<<total;
}
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