#include <fstream>
#include <vector>
#include <iostream>
#include <queue>
using namespace std;

#define pair pair<int, int>
#define Inf 1000000001

int n, m;
vector<pair> a[50001];
int d[50001];
pair curent;

void Dijkstra(int x) {
    int i;
    priority_queue<pair, vector<pair>, greater<pair>> Q;
    Q.push({0, x});
    d[x] = 0;
    pair p;
    while (!Q.empty()) {
        p = Q.top();
        Q.pop();
        if (d[p.second] > p.first) continue;
        for (i = 0; i < a[p.second].size(); i++) {
            curent = a[p.second][i];
            if (d[curent.second] > d[p.second] + curent.first) {
                d[curent.second] = d[p.second] + curent.first;
                Q.push({d[curent.second], curent.second});
            }
        }
    }
}

int main() {
    int i, x, c, y;

    ifstream f("dijkstra.in");
    f >> n >> m;
    for (i = 1; i <= m; i++) {
        f >> x >> y >> c;
        a[x].push_back({c, y});
    }
    f.close();

    for (i = 1; i <= n; i++)
        d[i] = Inf;

    Dijkstra(1);

    ofstream g("dijkstra.out");
    for (i = 2; i <= n; i++)
        if (d[i] == Inf)
            g << 0 << ' ';
        else
            g << d[i] << ' ';
    g.close();

    return 0;
}