#include <bits/stdc++.h>
#include <unistd.h>

using namespace std;

#define DEBUG(x) cerr<<#x<<": "<<x<<endl;
#define DEBUG_VEC(v) cerr<<#v<<":";for(int i=0;i<v.size();i++) cerr<<" "<<v[i]; cerr<<endl
#define DEBUG_MAT(v) cerr<<#v<<endl;for(int i=0;i<v.size();i++){for(int j=0;j<v[i].size();j++) {cerr<<v[i][j]<<" ";}cerr<<endl;}


typedef long long ll;
#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define pll pair<ll,ll>
template<class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first + t.first, s.second + t.second); }
template<class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template<class S, class T> ostream& operator<<(ostream& os, pair<S, T> p) { os << "(" << p.first << ", " << p.second << ")"; return os; }
#define X first
#define Y second
#define rep(i,n) for(int i=0;i<(n);i++)
#define rep1(i,n) for(int i=1;i<=(n);i++)
#define rrep(i,n) for(int i=(n)-1;i>=0;i--)
#define rrep1(i,n) for(int i=(n);i>0;i--)
#define REP(i,a,b) for(int i=a;i<b;i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(),c.end()
template<class T> bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; }
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
const ll MOD = 1000000007;
//const ll MOD = 998244353;
const double pi = 3.14159265358979323846;
#define Sp(p) cout<<setprecision(15)<< fixed<<p<<endl;
int dx[4] = { 1,0, -1,0 }, dy[4] = { 0,1,0,-1 };
int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
#define fio() cin.tie(0); ios::sync_with_stdio(false);
//#define mp make_pair


int main() {
  int n, m;
  cin >> n >> m;
  vector<vector<pll> > G(n);
  rep (i, m) {
    int u, v, c;
    cin >> u >> v >> c;
    u--; v--;
    G[u].push_back(pll(c, v));
    G[v].push_back(pll(c, u));
  }

  vl d(2 * n, INF);
  priority_queue<pll, vector<pll>, greater<pll> > pq;
  d[0] = 0;
  d[n] = 0;
  pq.push(pll(0, 0));
  while (!pq.empty()) {
    pll f = pq.top();
    pq.pop();
    int u = f.second;
    ll c = f.first;
    if (d[u] < c) continue;
    rep (i, G[u % n].size()) {
      int v = G[u % n][i].second;
      if (u >= n) v += n;
      ll c2 = G[u % n][i].first;
      if (c + c2 < d[v]) {
        d[v] = c + c2;
        pq.push(pll(d[v], v));
      }
      if (u < n) {
        if (c < d[v + n]) {
          d[v + n] = c;
          pq.push(pll(d[v + n], v + n));
        }
      }
    }
  }
  //DEBUG_VEC(d);
  rep (i, n) {
    cout << d[i] + d[i + n] << endl;
  }
}