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#include <bits/stdc++.h>
#define INF 0x3F3F3F3F
using namespace std;
const int MAXN = 500005;
struct edge{
int from, to, weight;
edge(){}
edge(int a, int b, int c){
from = a;
to = b;
weight = c;
}
};
struct state{
int node, dist;
state(){}
state(int a, int b){
node = a; dist = b;
}
bool operator<(const state &other)const{ // sobrecarga de operadores para ordenar
return other.dist < dist;
}
};
vector<edge> graph[MAXN];
int dist[MAXN];
vector<pair<int,int>> V[MAXN];
int N,E,T;
int dijkstra(int start, int end){
dist[start] = 0;
priority_queue<state> pq;
pq.push(state(start, 0));
while(!pq.empty()){
state cur = pq.top(); pq.pop();
if(dist[cur.node] < cur.dist) continue;
if(cur.node == end) return cur.dist;
for(unsigned int i=0;i<graph[cur.node].size();i++){
int dest = graph[cur.node][i].to;
int wht = graph[cur.node][i].weight + cur.dist;
if(dist[dest] <= wht) continue;
dist[dest] = wht;
pq.push(state(dest, wht));
}
}
return -1;
}
int main(){
while(scanf("%d %d %d",&N,&E,&T)==3)
{
for(int i=0;i<=N;i++) {V[i].clear(); graph[i].clear();}
for(int j=0;j<E;j++){
int to,from, weight; scanf("%d %d %d", &from,&to, &weight);
graph[from].push_back(edge(from,to,weight));
graph[to].push_back(edge(to,from,weight));
}
for(int i=0; i<T;i++)
{
for(int i=0;i<=N;i++) dist[i]=INF;
int arrival; scanf("%d",&arrival);
if(V[arrival].size()!=0)
{
printf("%d %d\n",V[arrival][0].first,V[arrival][0].second);
}
else
{
dijkstra(arrival,N);
map<int,int> M;
for(int i=0; i<N;i++)
if(dist[i]!=INF)
M[dist[i]]++;
int aux=-INF,aux2;
for(auto m: M)
if(m.first>aux){ aux=m.first; aux2=m.second;}
printf("%d %d\n",aux,aux2);
V[arrival].push_back(make_pair(aux,aux2));
}
}
}
return 0;
}
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