#include <bits/stdc++.h>
using namespace std;

int main() {
  ios::sync_with_stdio(false);

  int N, M; { cin >> N >> M; }

  vector<vector<pair<int, int>>> G(N); {
    for (int i = 0; i < M; ++i) {
      int A, B, C; { cin >> A >> B >> C; --A, --B; }
      G[A].emplace_back(C, B);
      G[B].emplace_back(C, A);
    }
  }

  const int64_t INF = (int64_t) 1 << 60;

  vector<vector<int64_t>> dis(N, vector<int64_t>(2, INF)); {
    set<tuple<int64_t, int, int>> bag;
    bag.emplace(dis[0][0] = 0, 0, 0);
    while (bag.size()) {
      auto [d, u, t] = *bag.begin();
      bag.erase(bag.begin());

      if (dis[u][t] != d) continue;

      for (auto [w, v] : G[u]) {
        if (dis[v][t] > d + w) {
          bag.emplace(dis[v][t] = d + w, v, t);
        }
        if (t == 0 && dis[v][1] > d) {
          bag.emplace(dis[v][1] = d, v, 1);
        }
      }
    }
  }

  for (int i = 0; i < N; ++i) {
    int64_t res = dis[i][0] + min(dis[i][0], dis[i][1]);
    cout << res << "\n";
  }
}