#include "bits/stdc++.h"
using namespace std;
#ifdef _DEBUG
#include "dump.hpp"
#else
#define dump(...)
#endif

#define int long long
#define rep(i,a,b) for(int i=(a);i<(b);i++)
#define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--)
#define all(c) begin(c),end(c)
const int INF = sizeof(int) == sizeof(long long) ? 0x3f3f3f3f3f3f3f3fLL : 0x3f3f3f3f;
const int MOD = 1'000'000'007;
template<class T> bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; }
template<class T> bool chmin(T &a, const T &b) { if (b < a) { a = b; return true; } return false; }

using Weight = int;
struct Edge {
	int s, d; Weight w;
	Edge() {};
	Edge(int s, int d, Weight w) : s(s), d(d), w(w) {};
};
bool operator<(const Edge &e1, const Edge &e2) { return e1.w < e2.w; }
bool operator>(const Edge &e1, const Edge &e2) { return e2 < e1; }
inline ostream &operator<<(ostream &os, const Edge &e) { return (os << '(' << e.s << ", " << e.d << ", " << e.w << ')'); }

using Edges = vector<Edge>;
using Graph = vector<Edges>;
using Array = vector<Weight>;
using Matrix = vector<Array>;

void addArc(Graph &g, int s, int d, Weight w = 1) {
	g[s].emplace_back(s, d, w);
}
void addEdge(Graph &g, int a, int b, Weight w = 1) {
	addArc(g, a, b, w);
	addArc(g, b, a, w);
}

auto dijkstra = [&](const Graph &g, int s, Array &dist) {
	int n = g.size();
	vector<bool> vis(n);
	vector<int> prev(n, -1);
	dist.assign(n, INF); dist[s] = 0;
	using State = tuple<Weight, int, int>;
	priority_queue<State, vector<State>, greater<State>> pq;
	pq.emplace(0, s, -1);
	while (pq.size()) {
		Weight d; int v, p; tie(d, v, p) = pq.top(); pq.pop();
		if (dist[v] < d)continue;
		vis[v] = true;
		prev[v] = p;
		for (auto &e : g[v]) {
			if (vis[e.d])continue;
			if (dist[e.d] > dist[v] + e.w) {
				dist[e.d] = dist[v] + e.w;
				pq.emplace(dist[e.d], e.d, v);
			}
		}
	}
	return prev;
};

signed main() {
	cin.tie(0);
	ios::sync_with_stdio(false);
	int N, M; cin >> N >> M;
	Graph g(2 * N);
	rep(i, 0, M) {
		int a, b, c; cin >> a >> b >> c;
		a--, b--;
		addEdge(g, a, b, c);
		addEdge(g, a + N, b + N, c);
		addArc(g, a, b + N, 0);
		addArc(g, b, a + N, 0);
	}
	rep(i, 0, N) {
		addArc(g, i, i + N, 0);
	}
	Array dist;
	vector<int> v = dijkstra(g, 0, dist);

	rep(i, 0, N) {
		cout << dist[i] + dist[i + N] << endl;
	}

	return 0;
}