#include <cstdio>

#define file_in "dijkstra.in"
#define file_out "dijkstra.out"

#define Nmax 101001

int n,m;
int x[Nmax*5];
int y[Nmax*5];
int c[Nmax*5];
int d[Nmax*5];

void citire()
{
	int i;
	freopen(file_in,"r",stdin);
	freopen(file_out,"w",stdout);
	
	scanf("%d %d", &n, &m);
	for (i=1;i<=m;++i)
	{
		scanf("%d %d %d", &x[i], &y[i], &c[i]);
		if (x[i]==1)
			d[y[i]]=c[i];
	}
	
}

void solve()
{
	int i;
	for (i=2;i<=n;++i)
		 if (d[i]==0)
			 d[i]=0x3f3f3f3f;
		 
	int ok=1;

    while(ok)
    {
		ok=0;
		for (i=1;i<=m;++i)
			 if (d[y[i]]>d[x[i]]+c[i])
				 d[y[i]]=d[x[i]]+c[i],
				 ok=1;
	}
	
	for (i=2;i<=n;++i)
		 if (d[i]==0x3f3f3f3f)
			 printf("0 ");
		 else
			 printf("%d ", d[i]);
}

int main()
{
	citire();
	solve();
	
	fclose(stdin);
	fclose(stdout);
	
	return 0;
	
}