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 <iostream>
#include <vector>
#include <array>
#include <algorithm>
using namespace std;
#define fastIO ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
const int mxn = 5e5;
vector<vector<pair<int, int> > > adj(mxn+1, vector<pair<int, int> >());
vector<array<int, 3> > edges;
vector<int> par(mxn+1);
vector<int> dp(mxn+1, 1e9);
bool compare(array<int, 3> a, array<int, 3> b){
return a[2] > b[2];
}
int find(int node){
if(par[node]==node) return node;
par[node] = find(par[node]);
return par[node];
}
bool unite(int u, int v){
u = find(u), v = find(v);
if(u==v) return 0;
par[v] = u;
return 1;
}
void dfs(int node, int par){
for(pair<int, int> to: adj[node]){
if(to.first != par){
dp[to.first] = min(dp[node], to.second);
dfs(to.first, node);
}
}
return;
}
int main(){
fastIO;
int n, m, q;
cin >> n >> m >> q;
array<int, 3> edge;
while(m--){
cin >> edge[0] >> edge[1] >> edge[2];
edges.push_back(edge);
}
sort(edges.begin(), edges.end(), compare);
for(int i=1; i<=n; i++) par[i] = i;
for(array<int, 3> edge: edges){
int u = edge[0], v = edge[1], w = edge[2];
if(unite(u, v)){
adj[u].push_back({v, w});
adj[v].push_back({u, w});
}
}
dfs(1, 0);
while(q--){
int node;
cin >> node;
cout << dp[node] << '\n';
}
}
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