n, k = read_line.split.map &.to_i
block = n // (k * k)
n = n % (k * k)
m = block * k
add = (0..).find { |i| n <= i*i }.not_nil!
m += add
ans = Array.new(m) { Array.new(m, '.') }
n -= add * add

block.times do |i|
  k.times do |y|
    k.times do |x|
      ans[i * k + y][i * k + x] = '#'
    end
  end
end
(m - add...m).each do |i|
  (m - add...m).each do |j|
    ans[i][j] = '#'
  end
end
m.times do |i|
  m.times do |j|
    if n < 0
      ans[i][j] = '.'
      n += 1
    end
  end
end

puts m, ans.map(&.join).join('\n')