#include <bits/stdc++.h>
using namespace std;

const int INF = 1e9;

int main() {
    ifstream fin("input.txt");
    ofstream fout("output.txt");

    int V, E; 
    fin >> V >> E;
    vector<vector<pair<int,int>>> adj(V);
    for (int i = 0; i < E; i++) {
        int u, v, w;
        fin >> u >> v >> w;
        adj[u-1].push_back({v-1, w});
    }
    int s;
    vector<int> d(V, INF);
    d[0] = 0;
    priority_queue<pair<int,int>, vector<pair<int,int>>, greater<pair<int,int>>> pq;
    pq.push({0, 0});

    while (!pq.empty()) {
        int dist_u = pq.top().first;
        int u = pq.top().second;
        pq.pop();
        if (dist_u > d[u]) continue;
        for (auto edge : adj[u]) {
            int v = edge.first;
            int w = edge.second;
            if (d[u] + w < d[v]) {
                d[v] = d[u] + w;
                pq.push({d[v], v});
            }
        }
    }
    for (int i = 1; i < V; i++)
       // fout << "Distanta de la " << 1 << " la " << i << " este " << d[i] << "\n";
       fout<< d[i]<<" ";
    fin.close();
    fout.close();
    return 0;
}