#include<fstream>
#include<queue>
#include<vector>
#define M 2000000000
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
struct nod
{
	int inf,c;
};
int n,m,nodcur,cost[50001],i,x1,y1,z1,j;
vector<nod>L[50001];
struct cmp
{
	bool operator() (nod a,nod b)
	{
		if(cost[a.inf]>cost[b.inf])return true;
		else return false;
	}
};
priority_queue<nod,vector<nod>,cmp>heap;

void citire()
{
	f>>n>>m;
	for(i=1;i<=m;i++)
	{
		f>>x1>>y1>>z1;
		nod a;
		a.inf=y1;
		a.c=z1;
		L[x1].push_back(a);
	}
}
void dijkstra()
{
	for(i=1;i<=n;i++)
		cost[i]=M;
	cost[1]=0;
	nod a;
	a.inf=1;
	a.c=0;
	heap.push(a);
	for(i=1;i<=n-1;i++)
	{
		nodcur=heap.top().inf;
		heap.pop();
		for(j=0;j<L[nodcur].size();j++)
			if(cost[L[nodcur][j].inf]>cost[nodcur]+L[nodcur][j].c)
			{	
				cost[L[nodcur][j].inf]=cost[nodcur]+L[nodcur][j].c;
				heap.push(L[nodcur][j]);
			}
		
	}
	for(i=2;i<=n;i++)
		if(cost[i]==M)
			g<<"0 ";
		else
		g<<cost[i]<<" ";
	
}
int main()
{
	citire();
	dijkstra();
		
	return 0;
}