#include<bits/stdc++.h>
// #include<atcoder/all>
using namespace std;
// using namespace atcoder;
using lint = long long;
using graph = vector<vector<int>>;
#define endl '\n'
lint const mod = 1e9+7;
//long const mod = 998244353;


int main(){
    int n,m;
    cin >> n >> m;
    int a[m],b[m],c[m];
    vector<unordered_map<int,lint>>dist(n);
    for(int i=0;i<m;i++){
        cin >> a[i] >> b[i] >> c[i];
        a[i]--;
        b[i]--;
        dist[a[i]][b[i]] = c[i];
        dist[b[i]][a[i]] = c[i];
    }
    vector<vector<lint>> ans(n,vector<lint>(2,1<<30));
    // ans[0][1] = 0;
    priority_queue<vector<lint> , vector<vector<lint>>, greater<vector<lint>>>que; // cost, v, state
    dist[0][0] = 0;
    que.push({0,0,0});
    while(!que.empty()){
        lint cost = que.top()[0];
        lint v = que.top()[1];
        lint state = que.top()[2];
        que.pop();
        if(cost >= ans[v][state])continue;
        ans[v][state] = cost;
        for(auto e: dist[v]){
            lint nv = e.first;
            lint ncost = e.second;
            que.push({cost + ncost, nv, state});
            if(state == 0){
                que.push({cost, nv, 1});
            }
        }
    }
    for(int i=0;i<n;i++){
        cout << ans[i][0] + ans[i][1] << endl;
    }

}