#include <bits/stdc++.h>
#include <iostream>
#include <vector>
using namespace std;
using namespace std;
struct arco {
int fine;
int peso;
};
void mincammino(int N, int M, vector<int> X, vector<int> Y, vector<int> P, vector<long long > & D) {
vector<arco> list[N];
D.resize(N);
for(int i=0; i<N; i++) D[i] = INT_MAX;
// Build adjacency list
for (int i = 0; i < M; i++) {
arco tmp;
tmp.fine = Y[i];
tmp.peso = P[i];
list[X[i]].push_back(tmp);
D[X[i]] = -1;
D[tmp.fine] = -1;
}
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
pq.push(make_pair(0, 0));
D[0] = 0;
while (!pq.empty()) {
int nodo = pq.top().second;
pq.pop();
for (arco next: list[nodo]) {
if (D[nodo] + next.peso < D[next.fine] || D[next.fine] == -1) {
D[next.fine] = D[nodo] + next.peso;
pq.push(make_pair(D[next.fine], next.fine));
}
}
}
}
int main() {
int N, M;
cin >> N >> M;
vector<int> X(M), Y(M), P(M);
vector<long long> D(N);
for (int i = 0; i < M; i++) {
cin >> X[i] >> Y[i] >> P[i];
}
mincammino(N, M, X, Y, P, D);
for (int i = 0; i < N; i++) {
cout << D[i] << ' ';
}
cout << '\n';
}
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