#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using ll=int;
using ld=long double;
ld pie=3.14159265359;
ll inf=1000000001;
ll mod=1000000007;
int main(){
    ll n,m;
    cin >> n >> m;
    vector<vector<pair<ll,ll>>>g(n);
    for (ll i = 0; i < m; i++)
    {
        ll a,b,c;
        cin >> a >> b >> c;
        a--,b--;
        g[a].push_back({b,c});
        g[b].push_back({a,c});
    }
    vector<ll>memo(n,inf),memo2(n,inf);
    memo[0]=0;
    priority_queue<pair<ll,ll>,vector<pair<ll,ll>>,greater<pair<ll,ll>>>que;
    que.push({0,0});
    vector<ll>ch(n,0);
    while (!que.empty())
    {
        ll v=que.top().second;
        que.pop();
        ch[v]=0;
        for (ll i = 0; i < g[v].size(); i++)
        {
            if (memo[g[v][i].first]>memo[v]+g[v][i].second)
            {
                memo[g[v][i].first]=memo[v]+g[v][i].second;
                if (ch[g[v][i].first]==0)
                {
                    que.push({memo[g[v][i].first],g[v][i].first});
                    ch[g[v][i].first]=1;
                }
            }
            if (memo2[g[v][i].first]>memo[v])
            {
                memo2[g[v][i].first]=memo[v];
                if (ch[g[v][i].first]==0)
                {
                    que.push({memo2[g[v][i].first],g[v][i].first});
                    ch[g[v][i].first]=1;
                }
            }
            if (memo2[g[v][i].first]>memo2[v]+g[v][i].second)
            {
                memo2[g[v][i].first]=memo2[v]+g[v][i].second;
                if (ch[g[v][i].first]==0)
                {
                    que.push({memo2[g[v][i].first],g[v][i].first});
                    ch[g[v][i].first]=1;
                }
            }
        }
    }
    ll ans=inf;
    cout << 0 << endl;
    for (ll i = 1; i < n; i++)
    {
        cout << memo[i]+memo2[i] << endl;
    }
}