N = gets.to_i
d = gets.to_i
S = gets.chomp
MEMO = Hash.new
stack = []

S.chars.each_with_index do |s, idx|
  if s == '{'
    stack << idx
  elsif s == '}'
    r_idx = stack.pop
    MEMO[idx] = r_idx
    MEMO[r_idx] = idx
  end
end

def parse(line, left, right)
  i = left
  a = 0
  d = 0
  res = Hash.new(0)

  while i <= right
    ch = line[i]

    case ch
    when 'd'
      l = i + 1
      r = MEMO[l]

      ret = parse(line, l + 1, r - 1)
      ret.each do |deg, e|
        next if deg == 0
        res[deg - 1] += e * deg
      end

      i = r + 1
    when 'x'
      d += 1
      a = 1 if a == 0

      i += 1
    when '*'
      i += 1
    when '+'
      res[d] += a

      d = 0
      a = 0
      i += 1
    when '{'
      i += 1
    else
      if d == 0
        a += ch.to_i
      else
        a *= ch.to_i
      end

      i += 1
    end
  end

  if a != 0 || d != 0
    res[d] += a
  end

  res
end

res = parse(S, 0, N - 1)

puts [*0..d].map { |i| res[i] }.join(' ')