#include <fstream>
#include <iostream>
#include <queue>
#include <vector>
#define inf 1000000000
using namespace std;

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

int n, m;
vector <pair <int, int> > graf[50010];
int dist[50010], visited[50010];

void citire() {
    f >> n >> m;
    for(int i = 0; i < m; i++) {
        int a, b, c;
        f >> a >> b >> c;
        graf[a].push_back({b, c});
    }
}

void dijkstra() {
    for(int i = 1; i<= n; i++)
        dist[i] = inf;
    dist[1] = 0;
    priority_queue<pair <int, int> > q;
    q.push({1, 0});
    while(!q.empty()) {
        int curr = q.top().first;
        q.pop();
        if(visited[curr])
            continue;
        visited[curr] = 1;
        for(int i = 0; i < graf[curr].size(); i++) {
            int next = graf[curr][i].first;
            int c = graf[curr][i].second;
            if(dist[curr] + c < dist[next]) {
                dist[next] = dist[curr] + c;
                q.push({next, -dist[next]});
            }
        }
    }

}

int main() {
    citire();
    dijkstra();
    for(int i = 2; i <= n; i++) {
        if(dist[i] == inf)
            dist[i] = 0;
        g << dist[i] << ' ';
    }
}