local n = io.read("*n")
local t = {}
local fromroot = {}
local fromleaf = {}
for i = 1, n do
  t[i] = {}
  fromroot[i] = -1
  fromleaf[i] = -1
end
for i = 1, n - 1 do
  local a, b = io.read("*n", "*n")
  table.insert(t[a], b)
  table.insert(t[b], a)
end

local tasks = {1}
local tasknum, done = 1, 0
fromroot[1] = 0
while done < tasknum do
  done = done + 1
  local curidx = tasks[done]
  for i = 1, #t[curidx] do
    local nextidx = t[curidx][i]
    if fromroot[nextidx] == -1 then
      fromroot[nextidx] = fromroot[curidx] + 1
      tasknum = tasknum + 1
      table.insert(tasks, nextidx)
    end
  end
end

tasks = {}
tasknum, done = 0, 0
for i = 1, n do
  if #t[i] == 1 then
    tasknum = tasknum + 1
    table.insert(tasks, i)
    fromleaf[i] = 0
  end
end

while done < tasknum do
  done = done + 1
  local curidx = tasks[done]
  for i = 1, #t[curidx] do
    local nextidx = t[curidx][i]
    if fromleaf[nextidx] == -1 then
      fromleaf[nextidx] = fromleaf[curidx] + 1
      tasknum = tasknum + 1
      table.insert(tasks, nextidx)
    end
  end
end
local mmi = math.min
for i = 1, n do
  print(mmi(fromroot[i], fromleaf[i]))
end