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#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
using namespace std;
ifstream fin ("dijkstra.in");
ofstream fout ("dijkstra.out");
vector<pair<int, int> > v[50002];
bool inQ[50002];
int d[500002];
const int INF = 30000;
int n, m, a, b, c;
struct compD {
bool operator() (int x, int y) {
return d[x] > d[y];
}
};
priority_queue<int, vector<int>, compD> q;
void dijkstra(int start) {
for (int i=1; i<=n; i++) {
d[i] = INF;
}
d[start] = 0;
q.push(start);
inQ[start] = 1;
while (!q.empty()) {
int poz = q.top();
q.pop();
for (int i=0; i<v[poz].size(); i++) {
int vecin = v[poz][i].first;
int cost = v[poz][i].second;
if (d[vecin] > d[poz] + cost) {
d[vecin] = d[poz] + cost;
if (!inQ[vecin]) {
q.push(vecin);
inQ[vecin] = 1;
}
}
}
}
}
int main()
{
fin>>n>>m;
for (int i=1; i<=m; i++) {
fin>>a>>b>>c;
v[a].push_back(make_pair(b, c));
}
dijkstra(1);
for (int i=2; i<=n; i++) {
fout<<d[i]<<" ";
}
return 0;
}