#include <iostream>
#include <vector>
#include <queue>
#include <utility>
#include <climits>
#include <stdio.h>

using namespace std;

vector< pair<int, int> > adj[50001];
priority_queue< pair<int, int> > heap; // pair<distance, node>
int dist[50001];


int main() {
    freopen("dijkstra.in", "r", stdin);
    freopen("dijkstra.out", "w", stdout);
    int n, m, i, u, v, c;
    cin >> n >> m;
    for (i = 0; i < m; i++) {
        cin >> u >> v >> c;
        adj[u].push_back(make_pair(v, c));
    }
    for (i = 1; i <= n; i++) {
        dist[i] = INT_MAX;
    }

    dist[1] = 0;
    heap.push(make_pair(0, 1));

    while (!heap.empty()) {
        pair<int, int> current = heap.top();
        heap.pop();

        if (current.first > dist[current.second]) {
            continue;
        }

        for (vector< pair<int, int> >::iterator it = adj[current.second].begin(); it != adj[current.second].end(); ++it) {
            // try to relax
            if (dist[it->first] > dist[current.second] + it->second) {
                dist[it->first] = dist[current.second] + it->second;
                heap.push(make_pair(dist[it->first], it->first));
            }
        }
    }

    for (i = 2; i <= n; i++) {
        cout << dist[i] << " ";
    }
    return 0;
}