#include <stdio.h>
#include <vector>
#include <queue>
#include <utility>
using namespace std;

#define Nmax 50005
#define inf 2500005

vector < pair <int, int> > graph[Nmax];
vector < pair <int, int> >::iterator it;
int dist[Nmax];
bool done[Nmax];
int n, m;

struct compare{
	bool operator() (int i, int j){
		return (dist[i] > dist[j]) ? 1 : 0;
	}
};
priority_queue <int, vector <int>, compare> heap;

void read()
{
	int x, y, c;
	freopen("dijkstra.in", "r", stdin);

	scanf("%d %d", &n, &m);
	for (int i = 1; i <= m; ++i){
		scanf("%d %d %d", &x, &y, &c);
		graph[x].push_back(make_pair(y, c));
	}

	fclose(stdin);
}

void dijkstra()
{
	int top;

	for (int i = 2; i <= n; ++i)
		dist[i] = inf;
	heap.push(1);

	while (!heap.empty()){
		top = heap.top();
		heap.pop();
		done[top] = 1;
		for (it = graph[top].begin(); it != graph[top].end(); ++it)
			if ((!done[it->first]) && (dist[it->first] > dist[top] + it->second)){
				dist[it->first] = dist[top] + it->second;
				heap.push(it->first);
			}
	}
}

void write()
{
	freopen("dijkstra.out", "w", stdout);

	for (int i = 2; i <= n; ++i)
		printf("%d ", (dist[i] == inf) ? 0 : dist[i]);

	fclose(stdout);
}

int main()
{
	read();
	dijkstra();
	write();

	return 0;
}