#include <bits/stdc++.h>
#define rep(i,n) for(int i = 0; i < (n); ++i)
#define drep(i,n) for(int i = (n)-1; i >= 0; --i)
#define srep(i,s,t) for (int i = s; i < t; ++i)
using namespace std;
typedef long long int ll;
typedef pair<ll,ll> P;
#define yn {puts("Yes");}else{puts("No");}
struct edge{ ll to, cost; };
const ll INF = 1001001001001001001;
const int MAX_N = 500005;
const int MAX_V = 500005;
vector<edge> G[MAX_V];
ll d[MAX_V];

void dijkstra(int s){
    // greater<P>を指定することでfirstが小さい順に取り出せるようにする
    priority_queue<P, vector<P>, greater<P> > que;
    fill(d, d+MAX_V, INF);
    d[s] = 0;
    que.push(P(0, s));

    while(!que.empty()){
        P p = que.top();
        que.pop();
        int v = p.second;
        ll val = p.first;
        if(val > d[v]) continue;
        for(int i=0; i<G[v].size(); i++){
            edge e = G[v][i];
            if(d[e.to] > d[v] + e.cost){
                d[e.to] = d[v] + e.cost;
                que.push(P(d[e.to], e.to));
            }
        }
    }
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);


    int n, m;
    cin >> n >> m;

    srep(i,1,n+1){
        edge e;
        e.to = i*2+1;
        e.cost = 0;
        G[i*2].push_back(e);
    }

    rep(i,m){
        ll from,to,cost;
        cin >> from >> to >> cost;
        edge e;
        e.to = to * 2;
        e.cost = cost;
        G[from*2].push_back(e);
        e.to = from * 2;
        G[to*2].push_back(e);
        e.to = to * 2 + 1;
        G[from*2+1].push_back(e);
        e.to = from * 2 + 1;
        G[to*2+1].push_back(e);
        e.cost = 0;
        G[to*2].push_back(e);
        e.to = to * 2 + 1;
        G[from*2].push_back(e);
    }

    
    dijkstra(1*2);

    srep(i,1,n+1){
        cout << d[i*2] + d[i*2+1] << endl;
    }

    return 0;
}