def solve(io)
  n, m = io.get2
  g = GraphW(Int64).new(n*2, 10_i64**18)
  m.times do
    ai, bi, ci = io.get(Int32, Int32, Int64); ai -= 1; bi -= 1
    g.add_edge_b(ai, bi, ci)
    g.add_edge_b(ai+n, bi+n, ci)
    g.add_edge(ai, bi+n, 0_i64)
    g.add_edge(bi, ai+n, 0_i64)
  end
  n.times do |i|
    g.add_edge(i, i+n, 0_i64)
  end

  d = g.dijkstra(0).dist

  n.times do |i|
    io.put d[i] + d[i+n]
  end
end

struct Int
  def cdiv(b : Int)
    (self + b - 1) // b
  end

  def bit?(i : Int)
    bit(i) == 1
  end

  def set_bit(i : Int)
    self | (self.class.new(1) << i)
  end

  def reset_bit(i : Int)
    self & ~(self.class.new(1) << i)
  end

  {% if compare_versions(env("CRYSTAL_VERSION") || "0.0.0", "0.34.0") < 0 %}
    def bit_length : Int32
      x = self < 0 ? ~self : self

      if x.is_a?(Int::Primitive)
        Int32.new(sizeof(self) * 8 - x.leading_zeros_count)
      else
        to_s(2).size
      end
    end
  {% end %}
end

struct Int32
  SQRT_MAX = 46_340_i32

  def isqrt
    m = SQRT_MAX
    r = (1_i32..SQRT_MAX).bsearch { |i| i**2 > self }
    r.nil? ? SQRT_MAX : r - 1
  end
end

struct Int64
  SQRT_MAX = 3_037_000_499_i64

  def isqrt
    r = (1_i64..SQRT_MAX).bsearch { |i| i**2 > self }
    r.nil? ? SQRT_MAX : r - 1
  end
end

struct Number
  {% if compare_versions(env("CRYSTAL_VERSION") || "0.0.0", "0.36.0") < 0 %}
    def self.additive_identity
      zero
    end

    def self.multiplicative_identity
      new(1)
    end
  {% end %}
end

class Array
  macro new_md(*args, &block)
    {% if !block %}
      {% for arg, i in args[0...-2] %}
        Array.new({{arg}}) {
      {% end %}
      Array.new({{args[-2]}}, {{args[-1]}})
      {% for arg in args[0...-2] %}
        }
      {% end %}
    {% else %}
      {% for arg, i in args %}
        Array.new({{arg}}) { |_i{{i}}|
      {% end %}
      {% for block_arg, i in block.args %}
        {{block_arg}} = _i{{i}}
      {% end %}
      {{block.body}}
      {% for arg in args %}
        }
      {% end %}
    {% end %}
  end
end

class ProconIO
  def initialize(@ins : IO = STDIN, @outs : IO = STDOUT)
    @buf = [] of String
    @index = 0
  end

  def get(k : T.class = Int32) forall T
    get_v(k)
  end

  macro define_get
    {% for i in (2..9) %}
      def get(
           {% for j in (1..i) %}
             k{{j}}{% if j < i %},{% end %}
           {% end %}
         )
        {
          {% for j in (1..i) %}
            get(k{{j}}){% if j < i %},{% end %}
          {% end %}
        }
      end
    {% end %}
  end
  define_get

  macro define_getn
    {% for i in (2..9) %}
      def get{{i}}(k : T.class = Int32) forall T
        get(
          {% for j in (1..i) %}
            k{% if j < i %}, {% end %}
          {% end %}
        )
      end
    {% end %}
  end
  define_getn

  def get_a(n : Int, k : T.class = Int32) forall T
    Array.new(n) { get_v(k) }
  end

  def get_c(n : Int, k : T.class = Int32) forall T
    get_a(n, k)
  end

  macro define_get_c
    {% for i in (2..9) %}
      def get_c(
           n : Int,
           {% for j in (1..i) %}
             k{{j}}{% if j < i %},{% end %}
           {% end %}
         )
        a = Array.new(n) do
          get(
            {% for j in (1..i) %}
              k{{j}}{% if j < i %},{% end %}
            {% end %}
          )
        end
        {
          {% for j in (1..i) %}
            a.map { |e| e[{{j-1}}] }{% if j < i %},{% end %}
          {% end %}
        }
      end
    {% end %}
  end
  define_get_c

  macro define_getn_c
    {% for i in (2..9) %}
      def get{{i}}_c(n : Int, k : T.class = Int32) forall T
        get_c(
          n,
          {% for j in (1..i) %}
            k{% if j < i %}, {% end %}
          {% end %}
        )
      end
    {% end %}
  end
  define_getn_c

  def get_m(r : Int, c : Int, k : T.class = Int32) forall T
    Array.new(r) { get_a(c, k) }
  end

  def put(*vs)
    vs.each.with_index do |v, i|
      put_v(v)
      @outs.print i < vs.size - 1 ? " " : "\n"
    end
  end

  def put_e(*vs)
    put(*vs)
    exit
  end


  private def get_v(k : Int32.class); get_token.to_i32; end
  private def get_v(k : Int64.class); get_token.to_i64; end
  private def get_v(k : String.class); get_token; end

  private def get_token
    if @buf.size == @index
      str = @ins.read_line
      @buf = str.split
      @index = 0
    end
    v = @buf[@index]
    @index += 1
    v
  end

  private def put_v(vs : Enumerable)
    vs.each_with_index do |v, i|
      @outs.print v
      @outs.print " " if i < vs.size - 1
    end
  end

  private def put_v(v)
    @outs.print v
  end
end

macro min_u(a, b)
  {{a}} = Math.min({{a}}, {{b}})
end

macro max_u(a, b)
  {{a}} = Math.max({{a}}, {{b}})
end

class Graph
  alias Node = Int32

  def initialize(@n : Node)
    @g = Array(Array(Node)).new(@n) { [] of Node }
  end

  getter n : Node

  delegate :[], to: @g

  def add_edge(u : Node, v : Node)
    @g[u] << v
  end

  def add_edge_b(u : Node, v : Node)
    @g[u] << v
    @g[v] << u
  end
end

class GraphW(T)
  alias Node = Int32

  struct Edge(T)
    def initialize(@src : Node, @dst : Node, @wt : T)
    end

    getter src : Node, dst : Node

    getter wt : T
  end
      
  def initialize(@n : Node, @inf = 10**9)
    @g = Array(Array(Edge(T))).new(@n) { [] of Edge(T) }
  end

  getter n : Node

  getter inf : T

  delegate :[], to: @g

  def add_edge(u : Node, v : Node, wt : T)
    @g[u] << Edge.new(u, v, wt)
  end

  def add_edge_b(u : Node, v : Node, wt : T)
    @g[u] << Edge.new(u, v, wt)
    @g[v] << Edge.new(v, u, wt)
  end
end

class Heap(T)
  def initialize
    initialize { |a, b| a <=> b }
  end

  def initialize(&@cmp : (T, T) -> Int32)
    dummy = uninitialized T
    @b = [dummy]
  end

  def initialize(a : Array(T))
    initialize(a) { |a, b| a <=> b }
  end

  def initialize(a : Array(T), &@cmp : (T, T) -> Int32)
    dummy = uninitialized T
    @b = [dummy]
    a.each do |e|
      push(e)
    end
  end

  def empty?
    @b.size == 1
  end

  def size
    @b.size - 1
  end

  def first
    @b[1]
  end

  def first=(v : T)
    @b[1], i = v, 1
    while @b.size > i << 1
      l, r = i << 1, i << 1 | 1
	  j = @b.size <= r || @cmp.call(@b[l], @b[r]) < 0 ? l : r
      break if @cmp.call(@b[i], @b[j]) < 0
      @b[j], @b[i] = @b[i], @b[j]
      i = j
    end
  end

  def push(v : T)
    @b.push(v)
    i = @b.size - 1
    while i > 1
      j = i >> 1
      break if @cmp.call(@b[j], @b[i]) < 0
      @b[j], @b[i] = @b[i], @b[j]
      i = j
    end
    self
  end

  def pop
    v, w = @b[1], @b.pop
    self.first = w unless empty?
    v
  end


  @b : Array(T)
end

class Dijkstra(T)
  alias Node = GraphW::Node
  alias Edge = GraphW::Edge

  def initialize(@g : GraphW(T), s : Node)
    n = sent = @g.n
    @dist = Array.new(n, @g.inf)
    @dist[s] = T.additive_identity
    @prev = Array.new(n, sent)

    se = Edge.new(sent, s, T.new(0))
    h = Heap.new([se]) { |a, b| a.wt <=> b.wt }
    until h.empty?
      e = h.pop

      next if @prev[e.dst] != sent
      @prev[e.dst] = e.src

      @g[e.dst].each do |f|
        w = e.wt + f.wt
        if w < @dist[f.dst]
          @dist[f.dst] = w
          h.push(Edge.new(f.src, f.dst, w))
        end
      end
    end
  end

  getter dist : Array(T)


  @dist : Array(T)
  @prev : Array(Node)
end

class GraphW(T)
  def dijkstra(s)
    Dijkstra.new(self, s)
  end
end

solve(ProconIO.new)