#include <algorithm>
#include <cassert>
#include <cctype>
#include <chrono>
#define _USE_MATH_DEFINES
#include <cmath>
#include <cstdio>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <tuple>
#include <vector>
using namespace std;

#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()

const int INF = 0x3f3f3f3f;
const long long LINF = 0x3f3f3f3f3f3f3f3fLL;
const int MOD = 1000000007; // 998244353
const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
/*-------------------------------------------------*/
using CostType = long long;
struct Edge {
  int src, dst;
  CostType cost;
  Edge(int src_, int dst_, CostType cost_ = 0) : src(src_), dst(dst_), cost(cost_) {}
  inline bool operator<(const Edge &rhs) const {
    return cost != rhs.cost ? cost < rhs.cost : dst != rhs.dst ? dst < rhs.dst : src < rhs.src;
  }
  inline bool operator<=(const Edge &rhs) const { return cost <= rhs.cost; }
  inline bool operator>(const Edge &rhs) const {
    return cost != rhs.cost ? cost > rhs.cost : dst != rhs.dst ? dst > rhs.dst : src > rhs.src;
  }
  inline bool operator>=(const Edge &rhs) const { return cost >= rhs.cost; }
};

struct Dijkstra {
  using Pci = pair<CostType, int>;

  Dijkstra(const vector<vector<Edge> > &graph_, const CostType CINF_ = LINF) : graph(graph_), CINF(CINF_) {}

  vector<CostType> build(int s) {
    int sz = graph.size();
    vector<CostType> dist(sz, CINF);
    dist[s] = 0;
    prev.assign(sz, -1);
    priority_queue<Pci, vector<Pci>, greater<Pci> > que;
    que.emplace(0, s);
    while (!que.empty()) {
      Pci pr = que.top(); que.pop();
      int ver = pr.second;
      if (dist[ver] < pr.first) continue;
      for (Edge e : graph[ver]) {
        if (dist[e.dst] > dist[ver] + e.cost) {
          dist[e.dst] = dist[ver] + e.cost;
          prev[e.dst] = ver;
          que.emplace(dist[e.dst], e.dst);
        }
      }
    }
    return dist;
  }

  vector<vector<CostType> > build2(int s) {
    int sz = graph.size();
    vector<vector<CostType> > dist(sz, vector<CostType>(2, CINF));
    dist[s][false] = 0;
    using P = pair<CostType, pair<bool, int> >;
    priority_queue<P, vector<P>, greater<P> > que;
    que.push({0, {false, 0}});
    while (!que.empty()) {
      P p = que.top(); que.pop();
      CostType cost = p.first;
      bool used = p.second.first;
      int ver = p.second.second;
      if (dist[ver][used] < cost) continue;
      for (Edge e : graph[ver]) {
        if (dist[e.dst][used] > dist[ver][used] + e.cost) {
          dist[e.dst][used] = dist[ver][used] + e.cost;
          que.push({dist[e.dst][used], {used, e.dst}});
        }
        if (!used) {
          if (dist[e.dst][true] > dist[ver][used]) {
            dist[e.dst][true] = dist[ver][used];
            que.push({dist[e.dst][true], {true, e.dst}});
          }
        }
      }
    }
    return dist;
  }

  vector<int> build_path(int t) {
    vector<int> res;
    for (; t != -1; t = prev[t]) res.emplace_back(t);
    reverse(ALL(res));
    return res;
  }

private:
  vector<vector<Edge> > graph;
  const CostType CINF;
  vector<int> prev;
};

int main() {
  cin.tie(0); ios::sync_with_stdio(false);
  // freopen("input.txt", "r", stdin);

  int n, m; cin >> n >> m;
  vector<vector<Edge> > graph(n);
  while (m--) {
    int a, b, c; cin >> a >> b >> c; --a; --b;
    graph[a].emplace_back(Edge(a, b, c));
    graph[b].emplace_back(Edge(b, a, c));
  }
  Dijkstra dij(graph);
  vector<long long> iki = dij.build(0);
  vector<vector<long long> > kaeri = dij.build2(0);
  REP(i, n) cout << iki[i] + min(kaeri[i][true], kaeri[i][false]) << '\n';
  return 0;
}