typedef long long ll;
#include <bits/stdc++.h>
using namespace std;
template<typename A, size_t N, typename T>
void Fill(A (&array)[N], const T &val){
    std::fill( (T*)array, (T*)(array+N), val );
}
typedef pair<ll, ll> P;
struct edge {
    ll to;
    ll cost;
};
vector<edge> G[200010];
int main() {
    ll n,m;
    std::cin >> n>>m;
    ll d[200010];
    ll inf = 100000000000000+10;
    Fill(d,inf);
    d[0] = 0;
    for (int i = 0; i < m; i++) {
        ll tmp_a,tmp_b,tmp_c;
        std::cin >> tmp_a>>tmp_b>>tmp_c;
        tmp_a--;
        tmp_b--;
        edge e1 = {tmp_b,tmp_c};
        edge e2 = {tmp_a,tmp_c};
        G[tmp_a].push_back(e1);
        G[tmp_b].push_back(e2);
        
        G[tmp_a].push_back({tmp_b+n,0});
        G[tmp_b].push_back({tmp_b+n,0});
        
        G[tmp_b+n].push_back({tmp_a+n,tmp_c});
        G[tmp_a+n].push_back({tmp_b+n,tmp_c});
    }
    
    priority_queue<P, vector<P>, greater<P> > que;
    que.push(P(0, 0));
    while (!que.empty()) {
        P p = que.top();
        que.pop();
        int v = p.second;
        if (d[v] < p.first) 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));
            }
        }
    }
    
    for (int i = 0; i < n; i++) {
        if(i==0){
            std::cout << 0 << std::endl;
        }else{
            std::cout << d[i]+d[n+i]<< std::endl;
        }
    }
}