#include <cstdio>
#include <queue>
#include <memory.h>

#define INF 0x3f3f3f3f
#define Nmax 50005
#define pb push_back
#define mp make_pair
#define cost first
#define next second

using namespace std;
vector<pair<int,int> > G[Nmax];
priority_queue<pair<int,int> ,vector<pair<int,int> > , greater<pair<int,int> > > Q;
int n,m,D[Nmax];

void read()
{
    scanf("%d%d",&n,&m);
    int a,b,c;
    for(int i = 1;i <= m ; ++i)
    {
        scanf("%d%d%d",&a,&b,&c);
        G[a].pb(mp(c,b));
    }
}

void dijkstra(int k)
{
    Q.push(mp(0,k));
    memset(D,INF,sizeof(D));
    D[k] = 0;
    while(!Q.empty())
    {
        k = Q.top().second;
        Q.pop();
        for(vector<pair<int,int> > :: iterator it = G[k].begin (); it != G[k].end(); ++it)
            if(D[it->next] > D[k] + it->cost)
            {
                D[it->next] = D[k] + it->cost;
                Q.push(mp(D[it->next],it->next));
            }
    }
    for(int i = 2; i <= n; ++i)
        if(D[i] == INF)
            printf("0 ");
        else
            printf("%d ",D[i]);
}

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

    read();
    dijkstra(1);

    return 0;
}