#include <cstdio>
#include <vector>
#include <queue>
#include <cstring>

using namespace std;

const int nmax = 50002;
const int inf = 0x3f3f3f3f;

int n,m,dist[nmax];
vector <pair<int,int> > lv[nmax];
priority_queue <pair<int,int> > q;
int a,b,c;
void citire() {
    scanf("%d %d", &n, &m);

    for(int i = 1; i <= m; ++i) {
        scanf("%d %d %d", &a, &b, &c);
        lv[a].push_back(make_pair(b,c));
    }
}

void dijkstra() {
    dist[1] = 0;
    q.push(make_pair(0,1));
    int nod;
    while(not q.empty()) {
        nod = q.top().second;
        q.pop();
        for(vector<pair<int,int> >::iterator it = lv[nod].begin(); it != lv[nod].end(); ++it)
            if(dist[it->first] > dist[nod] + it->second) {
                dist[it->first] = dist[nod] + it->second;
                q.push(make_pair(-dist[it->first],it->first));
            }
    }
}

int main() {
    freopen("dijkstra.in", "r", stdin);
    freopen("dijkstra.out", "w", stdout);
    citire();
    memset(dist,inf,sizeof(dist));
    dijkstra();
    for(int i = 2; i <= n; ++i)
        printf("%d ", dist[i] == inf ? 0 : dist[i]);
    return 0;
}