#include<bits/stdc++.h>
using namespace std;
int n, m, x, y, c;
vector<int> a[250250];
map<pair<int,int>, int>cost;
int rez[60000], viz[60000];
set<int> s;
int main()
{
	ifstream cin("dijkstra.in");
	ofstream cout("dijkstra.out");
	cin >> n >> m;
	for (int i = 0; i < m; i++)
	{
		cin >> x >> y >> c;
		a[x].push_back(y);
		cost[make_pair(x,y)] = c;
	}
	for (int i = 0; i <= n; i++) rez[i] = 1 << 30;
	rez[1] = 0;
	s.insert(1);
	viz[1] = 1;
	while(!s.empty())
	{	
		set<int>::iterator it1 = s.begin();
		int f = *it1;
		s.erase(s.begin());
		for (vector<int>::iterator it = a[f].begin(); it != a[f].end(); it++)
		{	
			rez[*it] = min(rez[*it], rez[f] + cost[make_pair(f,*it)]);
			if (!viz[*it])s.insert(*it);
			viz[*it] = 1;
		}
	}
	for (int i = 2; i <= n; i++) cout << (rez[i] == 1 <<30 ? 0:rez[i]) << " ";
}