#include <iostream>
#include <fstream>
#include <cmath>  
#include <cstdlib>
#include <ctime>
#include <algorithm>
#include <numeric>
#include <functional>
#include <string> 
#include <vector>
#include <bitset>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <deque>
#include <random>

using namespace std;
using ll = long long;
#define ALL(obj) (obj).begin(),(obj).end()
template <class T> void corner(bool flg, T hoge) { if (flg) { cout << hoge << endl; exit(0); } }
template <class T, class U>ostream &operator<<(ostream &o, const map<T, U>&obj) { o << "{"; for (auto &x : obj) o << " {" << x.first << " : " << x.second << "}" << ","; o << " }"; return o; }
template <class T>ostream &operator<<(ostream &o, const set<T>&obj) { o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o; }
template <class T>ostream &operator<<(ostream &o, const vector<T>&obj) { o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "") << obj[i]; o << "}"; return o; }
template <class T, class U>ostream &operator<<(ostream &o, const pair<T, U>&obj) { o << "{" << obj.first << ", " << obj.second << "}"; return o; }
template <template <class tmp>  class T, class U> ostream &operator<<(ostream &o, const T<U> &obj) { o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr)o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o; }
void print(void) { cout << endl; }
template <class Head> void print(Head&& head) { cout << head; print(); }
template <class Head, class... Tail> void print(Head&& head, Tail&&... tail) { cout << head << " "; print(forward<Tail>(tail)...); }
template <class T> void chmax(T& a, const T b) { a = max<T>(a, b); }
template <class T> void chmin(T& a, const T b) { a = min<T>(a, b); }
void YN(bool flg) { cout << ((flg) ? "YES" : "NO") << endl; }
void Yn(bool flg) { cout << ((flg) ? "Yes" : "No") << endl; }
void yn(bool flg) { cout << ((flg) ? "yes" : "no") << endl; }


template<class T> class RadixHeap{
	using TypeNode = pair<unsigned long long, T>;
	array<vector<TypeNode>,65> vq;
	unsigned long long size_num;
	TypeNode last;
	inline int bit(unsigned long long a) {
		return a ? 64 - __builtin_clzll(a) : 0;
	}
public:
	RadixHeap(T mini) : size_num(0), last(make_pair(0,mini)) {
		// do nothing
	}
	inline bool empty() {
		return size_num == 0;
	}
	inline size_t size(){
		return size_num;
	}
	inline void push(TypeNode x){
		++size_num;
		vq[bit(x.first^last.first)].push_back(x);
	}
	inline void emplace(unsigned long long key,T val){
		++size_num;
		vq[bit(key^last.first)].emplace_back(key,val);
	}
	inline TypeNode pop() {
		if(vq[0].empty()) {
			int i = 1;
			while(vq[i].empty()) ++i;
			last = *min_element(vq[i].begin(),vq[i].end());
			for(auto &p : vq[i]) vq[bit(p.first ^ last.first)].push_back(p);
			vq[i].clear();
		}
		--size_num;
		auto res = vq[0].back();
		vq[0].pop_back();
		return res;
	}
};


//Dijkstra
template<class T> class Dijkstra {
public:
	int N;
	T inf;
	vector<T> cost;
	vector<vector<pair<T, int>>> edge;

	Dijkstra(const int N, T inf) : N(N), inf(inf), cost(N), edge(N) {
	}

	void make_edge(int from, int to, T w) {
		edge[from].push_back({ w,to });
	}

	void solve(int start) {
		for (int i = 0; i < N; ++i) cost[i] = inf;

		RadixHeap<int> pq(0);
		cost[start] = 0;
		pq.push({ 0,start });

		while (!pq.empty()) {
			auto p = pq.pop();
			T v = p.first;
			int from = p.second;
			if(cost[from]<v) continue;
			for (auto u : edge[from]) {
				T w = v + u.first;
				int to = u.second;
				if (w < cost[to]) {
					cost[to] = w;
					pq.push({ w,to });
				}
			}
		}
		return;
	}
};

int main() {
	int N, M; cin >> N >> M;
	Dijkstra<ll> dijk(2*N, 1LL<<60);
	for(int i = 0; i < M; ++i){
		int a, b;
		ll c;
		cin >> a >> b >> c;
		a--, b--;
		dijk.make_edge(a, b, c);
		dijk.make_edge(b, a, c);
		dijk.make_edge(a+N, b+N, c);
		dijk.make_edge(b+N, a+N, c);
		dijk.make_edge(a, b+N, 0);
		dijk.make_edge(b, a+N, 0);
	}
	dijk.solve(0);
	dijk.cost[N]=0;
	for (int i = 0; i < N; ++i) cout << dijk.cost[i]+dijk.cost[i+N] << endl;

	return 0;
}