#include <stdio.h>
#include <vector>
#include <queue>
#define N 500001
#define inf 100000000
using namespace std;

int n,m,i,x,y,c,d[N];
vector<pair<int,int> > G[N];
class comp
{
public:
    bool operator()(int a,int b)
    {
        return d[a]>d[b];
    }
};
priority_queue<int, vector<int>, comp> Q;

void dijkstra()
{
    int i,x;
    for (i=2;i<=n;i++) d[i]=inf;

    Q.push(1);
    while (!Q.empty())
    {
        x=Q.top();
        Q.pop();
        for (i=0;i<G[x].size();i++)
        {
            y=G[x][i].first;
            if (d[y]>d[x]+G[x][i].second)
            {
                d[y]=d[x]+G[x][i].second;
                Q.push(y);
            }
        }
    }
}
int main()
{
    freopen ("dijkstra.in","r",stdin);
    freopen ("dijkstra.out","w",stdout);
    scanf("%i%i",&n,&m);
    for (i = 1; i <= m; i++)
    {
        scanf("%i%i%i",&x,&y,&c);
        G[x].push_back(make_pair(y,c));
    }
    dijkstra();
    for (i=2;i<=n;i++)
        printf("%i ",d[i]==inf?0:d[i]);
    fclose(stdin);
    fclose(stdout);
    return 0;
}