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

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");

const int inf = 1000000000;
int n, m, dist[50005];
vector<pair<int, int> > g[50005];

void citire() {
    fin >> n >> m;
    while(m--) {
        int a, b, c;
        fin >> a >> b >> c;
        g[a].push_back({b, c});
    }
}

void solve() {
    for(int i = 2; i <= n; i++) dist[i] = inf;

    priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > q;
    q.push({0,1});

    while(!q.empty()) {
        int curr = q.top().second;
        int d = q.top().first;
        q.pop();

        for(auto next: g[curr])
            if(dist[next.first] > dist[curr]+next.second) {
                dist[next.first] = dist[curr]+next.second;
                q.push({dist[next.first], next.first});
            }
    }
}

void afis() {
    for(int i = 2; i <= n; i++)
        fout << dist[i] == inf ? 0 : dist[i] << ' ';
}

int main() {
    citire();
    solve();
    afis();
}