#include <iostream>
#include <vector>
#include <queue>
#include <stdio.h>
using namespace std;
typedef long long ll;
typedef pair<ll,int> P;
int N,M;
vector<vector<P>> v(200010);
ll dp[200010] = {},inf = 1e18;

int main(){
    scanf("%d %d",&N,&M);
    int a,b; ll c;
    for(int i=0;i<M;i++){
        scanf("%d %d %d",&a,&b,&c);
        v[a].push_back(P(c,b));
        v[a].push_back(P(0,b+N));
        v[b].push_back(P(c,a));
        v[b].push_back(P(0,a+N));
        v[a+N].push_back(P(c,b+N));
        v[b+N].push_back(P(c,a+N));
    }
    for(int i=2;i<=2*N;i++){
        if(i!=N+1) dp[i] = inf;
    }
    priority_queue<P,vector<P>,greater<P>> Q;
    Q.push(P(0,1));
    int cnt = 0;
    while(!Q.empty()){
        P p = Q.top(); Q.pop();
        int n = p.second;
        if(dp[n]<p.first) continue;
        for(auto x:v[n]){
           if(dp[x.second]>p.first+x.first){
                dp[x.second] = p.first+x.first;
                Q.push(P(dp[x.second],x.second));
            }
        }
    }
    for(int i=1;i<=N;i++){
        printf("%ld\n",dp[i]+dp[i+N]);
    }
}