#include <cstdio>
#include <vector>
#include <deque>
#define NMAX  50001
#define pb push_back
#define mp make_pair
#define INF 1e9

using namespace std;

FILE *f = freopen("dijkstra.in", "r", stdin);
FILE *g = freopen("dijkstra.out", "w", stdout);

vector < pair <int, int> > G[NMAX];
std:: vector < pair <int, int > > :: iterator it;
deque <int> q;
int N, M, dist[NMAX];
bool viz[NMAX];
void read() {
    scanf("%d%d", &N, &M);
    for(int i = 1; i<=M; i++) {
        int x, y, z;
        scanf("%d%d%d", &x, &y, &z);
        G[x].pb(mp(y, z));
        //G[y].pb(mp(x, z));
    }
}
void dijkstra(int start) {
    for(int i = 0; i<NMAX; i++)
        dist[i] = INF;
    q.pb(start);
    viz[start] = true;
    dist[start] = 0;
    while(!q.empty()) {
        int nod = q.front();
        q.pop_front();
        for(it = G[nod].begin(); it != G[nod].end(); ++it) {
            if(dist[nod] + it -> second < dist[it -> first]){
               dist[it -> first] = dist[nod] + it -> second;
                if(!viz[it -> first]) {
                    q.pb(it -> first);
                    viz[it -> first] = true;
                }
            }
        }
    }
}
int main() {
    read();
    dijkstra(1);
    for(int i = 2; i<=N; i++)
        if(dist[i] == INF) printf("0 ");
    else
        printf("%d ", dist[i]);
    return 0;
}