#include<stdio.h>
#define usi unsigned short int
const usi N=50001;
struct G {
    usi o,c;
    G *u;
};
G *g[N],*r;
int m;
usi n,k,t,i,h[N],d[N],f,w,u,p[N];
void S(usi a,usi b) { h[a]^=h[b]^=h[a]^=h[b]; }
void U(usi w) {
    for(;w>1&&d[h[w>>1]]>d[h[w]];w=f)
        f=w>>1,h[w]^=h[f]^=h[w]^=h[f],p[h[w]]=w,p[h[f]]=f;
}
int main() {
    freopen("dijkstra.in","r",stdin),freopen("dijkstra.out","w",stdout),scanf("%d%d",&n,&m);
    while(m--) {
        scanf("%d%d%d",&u,&w,&f);
        r=new G;
        r->o=w,r->c=f,r->u=g[u],g[u]=r;
    }
    for(i=2;i<=n;i++)
        d[i]=p[i]=N;
    for(p[1]=h[++k]=1;k;) {
        for(t=h[1],S(1,k),p[h[1]]=w=1,k--;w<=k;) {
            f=w<<1;
            if(f+1<=k&&d[h[f+1]]<d[h[f]])
                f++;
            if(d[h[w]]<=d[h[f]])
                break;
            p[h[w]]=f,p[h[f]]=w,S(w,f),w=f;
        }
        for(r=g[t];r;r=r->u) {
            if(d[r->o]>d[t]+r->c) {
                d[r->o]=d[t]+r->c;
                if(p[r->o]!=N)
                    U(p[r->o]);
                else
                    h[++k]=r->o,p[h[k]]=k,U(k);
            }
        }
    }
    for(i=2;i<=n;i++)
        printf("%d ",d[i]==N?0:d[i]);
}