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#include <iostream>
#include <fstream>
#include <set>
#include <vector>
using namespace std;
ifstream f ("dijkstra.in");
ofstream g ("dijkstra.out");
const int INF = (1 << 30);
const int NMAX = 50000 + 1;
int n, m;
int sol[NMAX];
vector <int> graf[NMAX], cost[NMAX];
set < pair <int, int> > s;
void citeste() {
int a, b, c;
f >> n >> m;
for (int i = 1; i <= n; i++) {
f >> a >> b >> c;
graf[a].push_back(b);
cost[a].push_back(c);
}
}
void dijkstra(int src, int d[]) {
int l, fiu, nod, c;
for (int i = 2; i <= n; i++) d[i] = INF;
s.insert(make_pair(0, src));
while(!s.empty()) {
nod = (*s.begin()).second;
c = (*s.begin()).first;
s.erase(s.begin());
l = graf[nod].size();
for (int i = 0; i < l; i++) {
fiu = graf[nod][i];
if (d[fiu] > c + cost[nod][i]) {
d[fiu] = c + cost[nod][i];
s.insert(make_pair(d[fiu], fiu));
}
}
}
}
void scrie() {
for (int i = 2; i <= n; i++) g << sol[i] << ' ';
}
int main() {
citeste();
dijkstra(1, sol);
scrie();
return 0;
}