#include <bits/stdc++.h>
using namespace std;
 
#define fi first
#define se second
#define pb push_back
using vi = vector <int>;
using ll = long long;
using pii = pair <int, int>;
//~ const ll mod = 998244353;
const ll mod = 1e9 + 7;
ll qpow(ll a, ll b, ll m = mod) { ll r = 1, t = a;
	for(; b; b /= 2) { if(b & 1) r = r * t % m; t = t * t % m; } return r; }

const int N = 2e5 + 11;
vector <pii> e[N];
ll dis[N];

const ll inf = 1e18;

int main() {
	ios :: sync_with_stdio(false);
	int n, m; cin >> n >> m;
	
	for(int i = 1; i <= m; i ++) {
		int u, v, w; cin >> u >> v >> w;
		e[u].pb({v, w}); e[v].pb({u, w});
		e[u].pb({v + n, 0}); e[v].pb({u + n, 0});
		e[u + n].pb({v + n, w}); e[v + n].pb({u + n, w});
	}
	
	fill(dis, dis + n + n + 1, inf);
	set <pair <ll, int>> st;
	dis[1] = 0;
	for(int i = 1; i <= n * 2; i ++)
		st.insert({dis[i], i});
		
	while(!st.empty()) {
		int x = st.begin() -> se;
		st.erase(st.begin());
		for(auto [v, w] : e[x])
			if(dis[x] + w < dis[v]) {
				st.erase({dis[v], v});
				dis[v] = dis[x] + w;
				st.insert({dis[v], v});
			}
	}
	
	for(int i = 1; i <= n; i ++)
		cout << (i == 1 ? 0 : dis[i] + dis[i + n]) << '\n';
}