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

using namespace std;

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

int n,m,dist[nmx];
vector <pair<int,int> > g[nmx];
priority_queue < pair <int,int> > q;

void citire() {
    scanf("%d %d", &n, &m);
    int nod1,nod2,cost;
    for(int i = 1; i <= m; ++i) {
        scanf("%d %d %d", &nod1, &nod2, &cost);
        g[nod1].push_back(make_pair(nod2,cost));
    }
}

void dijkstra(){
    dist[1] = 0;

    q.push(make_pair(0,1));

    while(not q.empty()) {
        int nod = q.top().second;
        q.pop();

        for(vector<pair<int,int> >::iterator it = g[nod].begin(); it != g[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));
            }
    }
}

void afish(){
    for(int i = 2; i <= n; ++i)
        printf("%d ", dist[i]);
    printf("\n");
}

int main() {
    freopen("dijkstra.in", "r", stdin);
    freopen("dijkstra.out", "w", stdout);

    citire();

    memset(dist,inf,sizeof(dist));

    dijkstra();

    afish();

    return 0;
}