#include <iostream>
#include <vector>
#include <queue>
#include <cassert>
using namespace std;
typedef long long ll;
typedef pair<ll,int> P;
int N,M,used[100010] = {};
P parent[100010];
vector<vector<P>> v(100010),tree(100010);
ll dp[100010][2] = {},inf = 1e18;

void dfs(int n,int m){
    for(auto x:tree[n]){
        if(x.second!=m){
            dfs(x.second,n);
            dp[n][1] = min(dp[n][1],dp[x.second][1]+x.first);
        }
    }
}

int main(){
    cin >> N >> M;
    assert(2<=N && N<=100000);
    assert(N-1<=M && M<=min(100000,N*(N-1)/2));
    int a,b; ll c;
    for(int i=0;i<M;i++){
        cin >> a >> b >> c;
        assert(1<=a && a<=N && 1<=b && b<=N && 1<=c && c<=1000000000);
        v[a].push_back(P(c,b));
        v[b].push_back(P(c,a));
    }
    for(int i=2;i<=N;i++){
        dp[i][0] = inf;
        dp[i][1] = 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;
        used[n] = 1;
        if(dp[n][0]<p.first) continue;
        for(auto x:v[n]){
/*            if(used[x.second]==1 && dp[n][0]==dp[x.second][0]+x.first){
                tree[n].push_back(P(x.first,x.second));
                tree[x.second].push_back(P(x.first,n));
                cnt++;
            }
 */           if(dp[x.second][0]>p.first+x.first){
                dp[x.second][0] = p.first+x.first;
                parent[x.second] = P(x.first,n);
                Q.push(P(dp[x.second][0],x.second));
            }
            if(used[x.second]!=1) dp[x.second][1] = min(min(dp[x.second][1],dp[n][1]+x.first),p.first);
        }
    }
//    assert(cnt==N-1);
    for(int i=2;i<=N;i++){
        tree[parent[i].second].push_back(P(parent[i].first,i));
    }
    dfs(1,0);
    for(int i=1;i<=N;i++){
        assert(dp[i][0]!=inf && dp[i][1]!=inf);
        //cerr << dp[i][0] << " " << dp[i][1] << endl;
        cout << dp[i][0]+dp[i][1] << endl;
    }
}