#include<iostream>
#include<fstream>
#include<queue>
#include<vector>
using namespace std;

ifstream in("dijkastra.in");
ofstream out("dijkastra.out");

priority_queue<pair<int,int> > h[50010];
int n,m,dist[50010];

void bf(int nod) {
	
	while(!h[nod].empty()) {
		
		if(dist[nod] + h[nod].top().first < dist[h[nod].top().second]) {
			dist[h[nod].top().second]=dist[nod] + h[nod].top().first;
			
			bf(h[nod].top().second);
		}
		
		h[nod].pop();
	}
	
}

int main() {
	int i,a,b,c;
	
	in >> n >> m;
	
	for(i=1;i<=m;++i) {
		in >> a >> b >> c;
		
		h[a].push(make_pair<int,int>(c,b));
		
	}
	
	for(i=2;i<=n;++i)
		dist[i]=1<<20;
	
	bf(1);
	
	for(i=2;i<=n;++i) {
		if(dist[i]==(1<<20))
			dist[i]=0;
		out << dist[i] << " ";
	}
	
	return 0;
	
}