#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <climits>
#include <cassert>
#include <iostream>
#include <iomanip>
#include <string>
#include <stack>
#include <queue>
#include <vector>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <bitset>

#define all(c) c.begin(), c.end()
#define rall(c) c.rbegin(), c.rend()
#define debug(x) cerr << #x << ": " << x << endl

using namespace std;

typedef long long ll;
typedef pair<ll, ll> Pll;
typedef pair<int, int> Pii;

const ll MOD = 1000000007;
const long double EPS = 1e-10;
const int MAX_N = 112345;
const int dyx[4][2] = {
    { 0, 1}, {-1, 0}, {0,-1}, {1, 0}
};

int n,m,a,b; ll c;
map<ll, ll> d;
priority_queue< Pll, vector<Pll>, greater<Pll> > que;
map<ll, vector<Pll> > edges;

void dijkstra(ll start){
    d[start] = 0;
    d[n+start] = 0;
    que.push(Pll(0, start));

    while(!que.empty()){
        Pll v = que.top(); que.pop();
        if(d.find(v.second) != d.end() && d[v.second] < v.first) continue;
        for(Pll e: edges[v.second]){
            if(d.find(e.first) == d.end() || d[e.first] > d[v.second] + e.second){
                d[e.first] = d[v.second] + e.second;
                que.push(Pll(d[e.first], e.first));
            }
        }
    }
}

int main() {
    cin >> n >> m;
    for(int i=0;i<m;++i) {
        cin >> a >> b >> c;
        --a; --b;
        edges[a].emplace_back(b, c);
        edges[b].emplace_back(a, c);
        edges[a].emplace_back(n+b, 0);
        edges[b].emplace_back(n+a, 0);
        edges[n+a].emplace_back(n+b, c);
        edges[n+b].emplace_back(n+a, c);
    }

    dijkstra(0);

    for(int i=0;i<n;++i) {
        cout << d[i]+d[n+i] << endl;
        // cerr << i << ": " << d[0][i] << " "  << d[1][i] << " " << longest_edge[i] << endl;
    }
}

/*
間違えてしまう入力の例
4 4
1 2 4
3 4 9
2 4 1
1 4 8

ツアー 3 について，最短移動距離は 22 なのに 19 と答えてしまう
*/