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

using namespace std;
const int inf=2000000000;
int n,m,i,x,y,c,lungime,vfmin,dmin[50005],viz[50005];
struct element
{
    int y,cost;
} e1;

vector <element> v[50005];

struct cmp
{
    bool operator() (const element &x, const element &y)
    {
        return x.cost>y.cost;
    }
};

priority_queue< element, vector <element>, cmp> H;

int main()
{
    freopen("dijkstra.in","r",stdin);
    freopen("dijkstra.out","w",stdout);
    scanf("%d%d",&n,&m);
    for (i=1; i<=m; i++)
    {
        scanf("%d%d%d",&x,&y,&c);
        element elem;
        elem.y=y;
        elem.cost=c;
        v[x].push_back(elem);
    }
    for (i=2; i<=n; i++)
        dmin[i]=inf;
    element el={1,0};

    H.push(el);
    while (!H.empty())
    {
        vfmin=H.top().y;
        H.pop();
        if(viz[vfmin]==1)
            continue;
       viz[vfmin]=1;
        lungime=v[vfmin].size();

        for (i=0; i<lungime; i++)
            if (dmin[v[vfmin][i].y]>dmin[vfmin]+v[vfmin][i].cost && viz[v[vfmin][i].y]==0)
        {
            dmin[v[vfmin][i].y]=dmin[vfmin]+v[vfmin][i].cost;
            element el;
            el.y=v[vfmin][i].y;
            el.cost=dmin[v[vfmin][i].y];
            H.push(el);
        }
    }
    for (i=2; i<=n; i++)
        if (dmin[i]==inf)
            printf("0 ");
            else
            printf("%d ",dmin[i]);
    return 0;
}