#include <bits/stdc++.h>
using namespace std;
#define INF 1000000000000000000
using ll=long long;
using Graph=vector<vector<pair<int,ll>>>;

int main(){
  int N,M;
  scanf("%d %d",&N,&M);
  Graph G(2*N);
  for(int i=0;i<M;i++){
    int a,b;
    ll c;
    scanf("%d %d %lld",&a,&b,&c);
    a--;
    b--;
    G[a].push_back(make_pair(b,c));
    G[b].push_back(make_pair(a,c));
    G[a+N].push_back(make_pair(b+N,c));
    G[b+N].push_back(make_pair(a+N,c));
    G[a].push_back(make_pair(b+N,0));
    G[b].push_back(make_pair(a+N,0));
  }

  vector<ll> dist1(2*N,INF);
  dist1[0]=0;
  priority_queue<pair<ll,int>,vector<pair<ll,int>>,greater<pair<ll,int>>> pq1,pq2;
  pq1.push(make_pair(dist1[0],0));
  while(!pq1.empty()){
    pair<ll,int> p=pq1.top();
    pq1.pop();
    int v=p.second;
    if(dist1[v]<p.first){
      continue;
    }
    for(auto p:G[v]){
      int nv=p.first;
      ll d=p.second;
      if(dist1[v]+d<dist1[nv]){
        dist1[nv]=dist1[v]+d;
        pq1.push(make_pair(dist1[nv],nv));
      }
    }
  }

  for(int i=0;i<N;i++){
    printf("%lld\n",dist1[i]+min<ll>(dist1[i],dist1[i+N]));
  }

}