#include<fstream>
#include<vector>
#include<queue>
#define inf 0x3f3f3f
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
struct dij
{
	int nod,cost;
};
vector< vector <dij> > a(50001);
vector<int> d(50001,inf);
queue<int>  q;
int i,j,p1,p2,p3,n,m;
void dijkstra(int x)
{
	int i;
	q.push(x);
	d[1]=0;
	while(!q.empty())
	{
		x=q.front();
		for(i=0;i<a[x].size();++i)
			if(d[a[x][i].nod]>d[x]+a[x][i].cost)
			{
				d[a[x][i].nod]=d[x]+a[x][i].cost;
				q.push(a[x][i].nod);
			}
			q.pop();
	}
}
int main()
{
	f>>n>>m;
	for(i=1;i<=m;i++)
	{
		f>>p1>>p2>>p3;
		a[p1].push_back( (dij) {p2,p3} );
	}
	for(i=1;i<=n;i++)
		d[i]=inf;
	dijkstra(1);
	for(i=2;i<=n;i++)
		if(d[i]==inf)
			g<<0<<" ";
		else
			g<<d[i]<<" ";
	return 0;
}