#define FORN(i,n) for(int i=0;i<n;++i)
#define FOR(i,n) for(int i=1;i<=n;++i)
#include<fstream>
#include<iostream>
#include<set>
#include<map>
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
int n,m;
struct point
{
	set<int> legaturi;
	map<int,int> costuri;
	int cost;
};
point points[50000];
void rec(int pos)
{
	for (std::map<int,int>::iterator it=points[pos].costuri.begin(); it!=points[pos].costuri.end(); ++it)
	{
		if(points[it->first].cost==0)
		{
			points[it->first].cost=points[pos].cost+it->second;
			rec(it->first);
		}
		else if(points[pos].cost+it->second<points[it->first].cost)
		{
			points[it->first].cost=points[pos].cost+it->second;
		}
	}
}
int main()
{
	f>>n>>n;
	int aux1,aux2,aux3;
	FORN(i,n)
	{
		f>>aux1>>aux2>>aux3;
		points[aux1].costuri[aux2]=aux3;
	}
	rec(1);
	FOR(i,n)
	{
		//cout<<i;
		g<<points[i].cost<<" ";
	}
	f.close();
	g.close();
	return 0;
}