#include <cstdio>
#include <vector>
#include <deque>
#define pb push_back
#define mp make_pair
#define NMAX 50005
#define INF 20000000
using namespace std;

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

vector < pair <int, int> > G[NMAX];
vector < pair <int, int> > :: iterator it;
deque <int> q;
bool viz[NMAX];
int N, M, dmin[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));
    }
}
void dijkstra(int start) {
    for(int i = 0; i<NMAX; i++)
        dmin[i] = INF;
    q.pb(start);
    viz[start] = true;
    dmin[start] = 0;
    while(!q.empty()) {
        int nod = q.front();
        q.pop_front();
        viz[nod] = false;
        for(it = G[nod].begin(); it != G[nod].end(); it++)
        {
            if(dmin[nod] + it -> second < dmin[it -> first]) {
                dmin[it -> first] = dmin[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++)
        printf("%d ", dmin[i] < INF? dmin[i] : 0);
    return 0;
}