#include <iostream>
#include <fstream>
#include <vector>
#include <set>

using namespace std;

ifstream f ("dijkstra.in");
ofstream g ("dijkstra.out");

const int NMAX = 50000 + 1;
const int INF = 0x7fffffff;

int n, m;
int sol[NMAX];
vector <int> graf[NMAX], cost[NMAX];
set < pair <int, int> > t;

void citeste() {
    int a, b, c;
    f >> n >> m;
    for (int i = 1; i <= m; i++) {
        f >> a >> b >> c;
        graf[a].push_back(b);
        cost[a].push_back(c);
    }
}

void rezolva() {
    int costcrt, nod, nod2, l;

    for (int i = 2; i <= n; i++) sol[i] = INF;
    t.insert(make_pair(0, 1));

    while (t.size() > 0) {
        costcrt = (*t.begin()).first;
        nod = (*t.begin()).second;
        t.erase(*t.begin());
        l = graf[nod].size();
        for (int i = 0; i < l; i++) {
            nod2 = graf[nod][i];
            if (sol[nod2] > costcrt + cost[nod][i]) {
                sol[nod2] = costcrt + cost[nod][i];
                t.insert(make_pair(sol[nod2], nod2));
            }
        }
    }
    for (int i = 2; i <= n; i++) {
        if (sol[i] == INF) sol[i] = 0;
        g << sol[i] << ' ';
    }
}

int main() {
    citeste();
    rezolva();
    return 0;
}