#include <bits/stdc++.h>
//#include<boost/multiprecision/cpp_int.hpp>
//#include<boost/multiprecision/cpp_dec_float.hpp>
//#include <atcoder/all>
#define rep(i, a) for (int i = (int)0; i < (int)a; ++i)
#define rrep(i, a) for (int i = (int)a - 1; i >= 0; --i)
#define REP(i, a, b) for (int i = (int)a; i < (int)b; ++i)
#define RREP(i, a, b) for (int i = (int)a - 1; i >= b; --i)
#define repl(i, a) for (ll i = (ll)0; i < (ll)a; ++i)
#define pb push_back
#define eb emplace_back
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define popcount __builtin_popcount
#define fi first
#define se second
using ll = long long;
constexpr ll mod = 1e9 + 7;
constexpr ll mod_998244353 = 998244353;
constexpr ll INF = 1LL << 60;

// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")

//using lll=boost::multiprecision::cpp_int;
//using Double=boost::multiprecision::number<boost::multiprecision::cpp_dec_float<1024>>;//仮数部が1024桁
template <class T>
inline bool chmin(T &a, T b)
{
	if (a > b)
	{
		a = b;
		return true;
	}
	return false;
}
template <class T>
inline bool chmax(T &a, T b)
{
	if (a < b)
	{
		a = b;
		return true;
	}
	return false;
}

template <typename T>
T mypow(T x, T n, const T &p = -1)
{ //x^nをmodで割った余り

	if (p != -1)
	{
		x %= p;
	}
	T ret = 1;
	while (n > 0)
	{
		if (n & 1)
		{
			if (p != -1)
				ret = (ret * x) % p;
			else
				ret *= x;
		}
		if (p != -1)
			x = (x * x) % p;
		else
			x *= x;
		n >>= 1;
	}
	return ret;
}

using namespace std;
//using namespace atcoder;
struct edge{
	int to;
	ll cost;
	edge(int a,ll b):to(a),cost(b){}
};
vector<vector<ll>>dijkstra(vector<vector<edge>> &g,int s){
	int n=g.size();
	vector<vector<ll>>dis(n,vector<ll>(2,INF));
	using P=pair<ll,pair<int,int>>;
	priority_queue<P,vector<P>,greater<>>pq;
	dis[s][0]=0;
	dis[s][1]=0;
	pq.emplace(0,make_pair(s,0));
	while(!pq.empty()){
		auto p=pq.top();pq.pop();
		ll d=p.first,v=p.second.first,flag=p.second.second;
		if(dis[v][flag]<d)continue;
		for(auto x:g[v]){
			if(!flag){
				if(chmin(dis[x.to][1],dis[v][0])){
					pq.emplace(dis[x.to][1],make_pair(x.to,1));
				}
			}
			if(chmin(dis[x.to][flag],dis[v][flag]+x.cost)){
				pq.emplace(dis[x.to][flag],make_pair(x.to,flag));
			}
		}
	}
	return dis;
}
void solve()
{	
	int n,m;
	cin>>n>>m;
	vector<vector<edge>>g(n);
	rep(i,m){
		int a,b;
		ll c;
		cin>>a>>b>>c;
		a--;b--;
		g[a].eb(b,c);
		g[b].eb(a,c);
	}
	auto d=dijkstra(g,0);
	rep(i,n){
		ll ans=d[i][0]+d[i][1];
		cout<<ans<<"\n";
	}
}

int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cout << fixed << setprecision(15);
	solve();
	return 0;
}