#include <queue>
#include <vector>
#include <iostream>
using namespace std;
const long long inf = 1LL << 61;
struct edge {
	int to; long long cost;
};
struct state {
	int pos; long long cost;
};
bool operator<(const state& s1, const state& s2) {
	return s1.cost > s2.cost;
}
vector<long long> shortest_path(int src, vector<vector<edge> > &G) {
	int N = G.size();
	vector<long long> dist(N, inf);
	dist[src] = 0;
	priority_queue<state> que; que.push(state{ src, 0 });
	while (!que.empty()) {
		int u = que.top().pos; que.pop();
		for (edge e : G[u]) {
			if (dist[e.to] > dist[u] + e.cost) {
				dist[e.to] = dist[u] + e.cost;
				que.push(state{ e.to, dist[e.to] });
			}
		}
	}
	return dist;
}
int main() {
	cin.tie(0);
	ios_base::sync_with_stdio(false);
	int N, M;
	cin >> N >> M;
	vector<vector<edge> > G(2 * N);
	for (int i = 0; i < M; ++i) {
		int A, B, C;
		cin >> A >> B >> C; --A, --B;
		G[A].push_back(edge{ B, C });
		G[A + N].push_back(edge{ B + N, C });
		G[A].push_back(edge{ B + N, 0 });
		G[B].push_back(edge{ A, C });
		G[B + N].push_back(edge{ A + N, C });
		G[B].push_back(edge{ A + N, 0 });
	}
	vector<long long> d = shortest_path(0, G);
	for (int i = 0; i < N; ++i) {
		long long ans = inf;
		ans = min(ans, d[i] * 2);
		ans = min(ans, d[i] + d[i + N]);
		cout << ans << '\n';
	}
	return 0;
}