ior = io.read
local n, m = ior("*n", "*n")
local costs = {}
for i = 1, n do costs[i] = {} end
for i = 1, m do
  local a, b, c = ior("*n", "*n", "*n")
  costs[a][b], costs[b][a] = c, c
end
local inf = 99999999999999
local straight = {}
local warp = {}
straight[1], warp[1] = 0, 0
for i = 2, n do straight[i], warp[i] = inf, inf end
local cue = {}
cue[1] = 1
local done, tasks = 0, 1
local mmi = math.min
while(done < tasks) do
  done = done + 1
  local src = cue[done]
  for k, v in pairs(costs[src]) do
    local added = false
    if(straight[src] + v < straight[k]) then
      straight[k] = straight[src] + v
      added = true
      tasks = tasks + 1
      table.insert(cue, k)
    end
    local w = mmi(warp[src] + v, straight[src])
    if(w < warp[k]) then
      warp[k] = w
      if(not added) then
        tasks = tasks + 1
        table.insert(cue, k)
      end
    end
  end
end
for i = 1, n do
  print(straight[i] + warp[i])
end