#include <iostream>
#include <algorithm>
#include <vector>
#include <string>
#include <queue>
#include <tuple>

using namespace std;

#define REP(i, n) for (int i = 0; i < (n); i++)

const long long INF = 1e18;

struct edge {
  int v;
  long long w;
};

long long dp[100000][2];

int main() {
  int N, M;
  cin >> N >> M;
  vector<vector<edge>> G(N);
  for (int i = 0; i < M; i++) {
    int a, b, c;
    cin >> a >> b >> c;
    a--; b--;
    G[a].push_back({b, c});
    G[b].push_back({a, c});
  }
  priority_queue<tuple<long long, int, int>> q;
  REP(i, N) REP(j, 2) dp[i][j] = INF;
  dp[0][0] = 0;
  dp[0][1] = 0;
  q.emplace(0, 0, 0);
  while (!q.empty()) {
    long long d;
    int i, j;
    tie(d, i, j) = q.top(); q.pop();
    if (dp[i][j] < -d) continue;
    for (edge e : G[i]) {
      if (dp[e.v][j] > dp[i][j] + e.w) {
        dp[e.v][j] = dp[i][j] + e.w;
        q.emplace(-dp[e.v][j], e.v, j);
      }
      if (j == 0) {
        if (dp[e.v][1] > dp[i][j]) {
          dp[e.v][1] = dp[i][j];
          q.emplace(-dp[e.v][1], e.v, 1);
        }
      }
    }
  }
  REP(i, N) cout << dp[i][0] + dp[i][1] << '\n';
}