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

using namespace std;

#define maxN 250005

vector < pair <int , int> > lista[maxN];
queue <int> Q;

int cost[maxN] , N , M;
bool viz[maxN];

int main ()
{
	freopen ("dijkstra.in" , "r" , stdin);
	freopen ("dijkstra.out" , "w" , stdout);
	
	scanf ("%d %d" , &N , &M);
	
	int a , b , c;
	
	for (int i = 1 ; i <= M ; ++i)
	{
		scanf ("%d %d %d" , &a , &b , &c);
		
		lista[a].push_back (make_pair (b , c));
	}
	
	int nod;
	
	Q.push (1);
	
	while (!Q.empty ())
	{
		nod = Q.front ();
		
		for (unsigned i = 0 ; i < lista[nod].size () ; ++i)
		{
			if (viz[lista[nod][i].first])
				continue;
			
			cost[lista[nod][i].first] = cost[nod] + lista[nod][i].second;
			viz[lista[nod][i].first] = 1;
			
			Q.push (lista[nod][i].first);
		}
		
		Q.pop ();
	}
	
	for (int i = 2 ; i <= N ; ++i)
		printf ("%d " , cost[i]);
	
	return 0;
}