#include <bits/stdc++.h>
using namespace std;
#define elem pair<int, int>

int read() {
	int n;
	scanf("%d", &n);
	return n;
}

int main() {
	freopen("dijkstra.in", "r", stdin);
	freopen("dijkstra.out", "w", stdout);
	vector<vector<elem>> nodes(read() + 1);
	for (int m = read(); m > 0; m--) {
		int a = read();
		nodes[a].push_back(elem(read(), read()));
	}

	vector<int> minim(nodes.size(), INT_MAX);
	set<elem> coada;
	coada.insert(elem(0, 1));
	while (coada.size()) {
		elem from = *(coada.begin());
		coada.erase(coada.begin());
		if (minim[from.second] <= from.first)
			continue;
		minim[from.second] = from.first;
		for (elem act : nodes[from.second])
			coada.insert(elem(act.first + from.first, act.second));
	}
	for (int i = 2; i < minim.size(); i++)
		printf("%d ", minim[i] == INT_MAX ? 0 : minim[i]);
	return 0;
}