// URL: https://yukicoder.me/problems/no/807

import std.algorithm, std.container, std.math, std.range, std.typecons, std.string;

version(unittest) {} else
void main()
{
  int n, m; io.getV(n, m);

  auto g = GraphW!(long, 10L^^18)(n*2);
  g.addEdge(0, n, 0);
  foreach (_; 0..m) {
    int a, b, c; io.getV(a, b, c); --a; --b;
    g.addEdgeB(a, b, c);
    g.addEdgeB(a+n, b+n, c);
    g.addEdge(a, b+n, 0);
    g.addEdge(b, a+n, 0);
  }
  auto d = g.dijkstra(0);

  foreach (i; 0..n)
    io.put(d[i] + d[i+n]);
}

struct GraphW(W = int, W i = 10^^9)
{
  alias Node = int, Wt = W, inf = i;
  struct Edge { Node src, dst; Wt wt; alias cap = wt; }
  Node n;
  Edge[][] g;
  alias g this;
  this(Node n) { this.n = n; g = new Edge[][](n); }
  void addEdge(Node u, Node v, Wt w) { g[u] ~= Edge(u, v, w); }
  void addEdgeB(Node u, Node v, Wt w) { g[u] ~= Edge(u, v, w); g[v] ~= Edge(v, u, w); }
}

struct Dijkstra(Graph)
{
  import std.array, std.container;
  Graph g;
  alias g this;
  alias Node = g.Node, Wt = g.Wt, Edge = g.Edge;
  Wt[] dist;
  Node[] prev;

  this(ref Graph g) { this.g = g; }

  auto run(Node s)
  {
    auto n = g.n, sent = n;

    dist = new Wt[](n);
    dist[] = g.inf;
    dist[s] = 0;

    prev = new Node[](n);
    prev[] = sent;

    auto q = heapify!("a.wt > b.wt")(Array!Edge(Edge(sent, s, 0)));
    while (!q.empty) {
      auto e = q.front; q.removeFront();
      if (prev[e.dst] != sent) continue;
      prev[e.dst] = e.src;
      foreach (f; g[e.dst]) {
        auto w = e.wt+f.wt;
        if (dist[f.dst] > w) {
          dist[f.dst] = w;
          q.insert(Edge(f.src, f.dst, w));
        }
      }
    }

    return dist;
  }
}
auto dijkstra(G, N)(G g, N s) { return Dijkstra!G(g).run(s); }

auto io = IO();

struct IO
{
  import std.algorithm, std.conv, std.format, std.meta, std.range, std.stdio, std.traits;

  dchar[] buf;
  auto sp = (new dchar[](0)).splitter;
  int precision = 10;
  string delimiter = " ";

  void nextLine()
  {
    stdin.readln(buf);
    sp = buf.splitter;
  }

  auto get(T)(ref T v)
  {
    if (sp.empty) nextLine();
    v = sp.front.to!T;
    sp.popFront();
  }

  auto getV(T...)(ref T v)
  {
    foreach (ref w; v) get(w);
  }

  auto getA(T)(size_t n, ref T v)
  if (hasAssignableElements!T)
  {
    v = new T(n);
    foreach (ref w; v) get(w);
  }

  auto getC(T...)(size_t n, ref T v)
  if (allSatisfy!(hasAssignableElements, T))
  {
    foreach (ref w; v)
      w = new typeof(w)(n);
    foreach (i; 0..n)
      foreach (ref w; v) get(w[i]);
  }

  auto getM(T)(size_t r, size_t c, ref T v)
  if (hasAssignableElements!T && hasAssignableElements!(ElementType!T))
  {
    v = new T(r);
    foreach (ref w; v) getA(c, w);
  }

  auto rangePop(R)(ref R r)
  {
    r.popFront();
    if (!r.empty) write(delimiter);
  }

  auto putA(T)(T v)
  {
    static if (isInputRange!T && !isSomeString!T)
      for (auto w = v; !w.empty; rangePop(w)) putA(w.front);
    else if (isFloatingPoint!T)
      writef(format("%%.%df", precision), v);
    else
      write(v);
  }

  auto put(T...)(T v)
  {
    foreach (i, w; v) {
      putA(w);
      if (i < v.length-1) write(delimiter);
    }
    writeln;
  }

  auto putB(S, T)(bool c, S t, T f)
  {
    if (c)
      put(t);
    else
      put(f);
  }

  auto dbg(T...)(T v)
  {
    stderr.writeln(v);
  }
}