#include<fstream>
#include<queue>
#include<vector>
#define inf 0x3f3f3f3
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
struct dij
{
	int nod,cost;
};
vector<vector<dij> > a(250005);
queue<int> q;
vector<int> d(250005,inf);
int n,m,i,j;
void dijkstra(int x)
{
	int i;
	d[1]=0;
	q.push(x);
	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;
	int p1,p2,p3;
	for(i=1;i<=m;i++)
	{
		f>>p1>>p2>>p3;
		a[p1].push_back((dij){p2,p3});
	}
	dijkstra(1);
	for(i=2;i<=n;i++)
		if(d[i]==inf)
			g<<0<<" ";
		else
			g<<d[i]<<" ";
	return 0;
}//b9f62a