#include <fstream>
#include <queue>
#include <string.h>
#include <vector>

using namespace std;

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

const int maxn = 50005;
const int oo = 0x3f3f3f3f;

int n, m, dist[maxn];
vector <pair<int, int> > g[maxn];

inline void dijkstra(int stnode) {
    priority_queue <pair<int, int> > q;
    memset(dist, oo, sizeof(dist));
    dist[stnode] = 0;
    q.push(make_pair(0, stnode));
    while(!q.empty()) {
        int cost = -q.top().first;
        int node = q.top().second;
        q.pop();
        if(dist[node] != cost)
            continue;
        for(auto it : g[node]) {
            if(dist[it.first] > cost + it.second) {
                dist[it.first] = cost + it.second;
                q.push(make_pair(-dist[it.first], it.first));
            }
        }
    }
    for(int i = 2 ; i <= n ; ++ i) {
        if(dist[i] == oo)
            dist[i] = 0;
        fout << dist[i] << ' ';
    }
}

int main() {
    fin >> n >> m;
    for(int i = 1 ; i <= m ; ++ i) {
        int x, y, z;
        fin >> x >> y >> z;
        g[x].push_back(make_pair(y, z));
    }
    dijkstra(1);

}