#include "bits/stdc++.h"

using namespace std;

using P = pair<long, int>;

struct edge {int to; long c;};

void solve()
{
	int n, m;
	cin >> n >> m;
	vector<vector<long>> dist(2, vector<long>(n, 1e18));
	dist[0][0] = dist[1][0] = 0;
	vector<edge> g[n];
	while(m--)
	{
		int a, b;
		long c;
		cin >> a >> b >> c;
		a--, b--;
		g[a].push_back({b, c});
		g[b].push_back({a, c});
	}
	priority_queue<P, vector<P>, greater<P>> q, q2;
	q.push({0, 0});
	q2.push({0, 0});
	while(!q.empty() || !q2.empty())
	{
		while (!q.empty())
		{
			auto p = q.top();
			q.pop();
			int v = p.second;
			long c = p.first;
			if (dist[0][v] < c) continue;
			for (auto np : g[v])
			{
				int nv = np.to;
				long nc = np.c + dist[0][v];
				if (dist[0][nv] > nc)
				{
					dist[0][nv] = nc;
					q.push({nc, nv});
				}
				if (dist[1][nv] > dist[0][v])
				{
					dist[1][nv] = dist[0][v];
					q2.push({dist[0][v], nv});
				}
			}
		}
		while(!q2.empty())
		{
			auto p = q2.top();
			q2.pop();
			int v = p.second;
			long c = p.first;
			if (dist[1][v] < c) continue;
			for (auto np : g[v])
			{
				int nv = np.to;
				long nc = np.c + dist[1][v];
				if (dist[1][nv] > nc)
				{
					dist[1][nv] = nc;
					q2.push({nc, nv});
				}
			}
		}

	}
	for (int i = 0; i < n; i++)
	{
		long ans = dist[0][i] + dist[1][i];
		cout << ans << endl;
	}
}

int main(void)
{
	solve();
	//cout << "yui(*-v・)yui" << endl;
	return 0;
}