#include <bits/stdc++.h>

#define fst(t) std::get<0>(t)
#define snd(t) std::get<1>(t)
#define thd(t) std::get<2>(t)
#define unless(p) if(!(p))
#define until(p) while(!(p))

using ll = std::int64_t;
using P = std::tuple<ll,ll>;
using T = std::tuple<ll,ll,ll>;

constexpr ll INF = std::numeric_limits<ll>::max() / 2;
int N, M;
std::vector<P> G[100100];
std::priority_queue<T, std::vector<T>, std::greater<T>> pq;
ll dist[100100][2];

int main(){
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);

    std::cin >> N >> M;

    for(int i=0;i<M;++i){
        int a, b, c;
        std::cin >> a >> b >> c;

        G[a].emplace_back(b, c);
        G[b].emplace_back(a, c);
    }

    std::fill(&dist[0][0], &dist[0][0] + 100100 * 2, INF);

    dist[1][0] = 0;
    dist[1][1] = 0;
    pq.emplace(0, 1, 0);

    until(pq.empty()){
        int v, t;
        ll d;
        std::tie(d, v, t) = pq.top();
        pq.pop();

        if(d > dist[v][t]){
            continue;
        }

        for(auto &e : G[v]){
            int w, c;
            std::tie(w, c) = e;

            if(d + c < dist[w][t]){
                dist[w][t] = d + c;
                pq.emplace(dist[w][t], w, t);
            }
        }

        if(t == 0){
            for(auto &e : G[v]){
                int w;
                std::tie(w, std::ignore) = e;

                if(d < dist[w][1]){
                    dist[w][1] = d;
                    pq.emplace(dist[w][1], w, 1);
                }
            }
        }
    }

    for(int i=1;i<=N;++i){
        ll mn = dist[i][0] + dist[i][1];
        std::cout << mn << std::endl;
    }
}