#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<complex>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
using namespace std;
typedef long long ll;
typedef unsigned int ui;
const ll mod = 1000000007;
typedef long double ld;
const ll INF = 1e+14;
typedef pair<int, int> P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
typedef complex<ld> Point;
const ld eps = 1e-8;
const ld pi = acos(-1.0);
typedef pair<ld, ld> LDP;
typedef pair<ll, ll> LP;

struct edge {
	int to; ll cost;
};
vector<edge> G[1 << 18];
ll d[1 << 18];
priority_queue<LP, vector<LP>, greater<LP>> q;
void solve() {
	int n, m; cin >> n >> m;
	rep(i, m) {
		int a, b; ll c; cin >> a >> b >> c; a--; b--;
		G[a].push_back({ b,c });
		G[b].push_back({ a,c });
		G[a].push_back({ b + n,0 });
		G[b].push_back({ a + n,0 });
		G[a + n].push_back({ b + n,c });
		G[b + n].push_back({ a + n,c });
	}
	fill(d, d + 2 * n, INF);
	d[0] = 0; q.push({ 0,0 });
	while (!q.empty()) {
		LP p = q.top(); q.pop();
		int id = p.second;
		rep(j, G[id].size()) {
			int to = G[id][j].to;
			ll nc = G[id][j].cost+p.first;
			if (nc < d[to]) {
				d[to] = nc;
				q.push({ d[to],to });
			}
		}
	}
	d[n] = 0;
	rep(i, n) {
		cout << d[i] + d[n + i] << endl;
	}
}
int main() {
	solve();
	//stop
	return 0;
}