=begin
irb(main):001:0> lcs('thisisatest', 'testing123testing')
=> 
=end
def lcs(xstr, ystr)
  return  if xstr.empty? || ystr.empty?

  x, xs, y, ys = xstr[0..0], xstr[1..-1], ystr[0..0], ystr[1..-1]
  if x == y
    x + lcs(xs, ys)
  else
    [lcs(xstr, ys), lcs(xs, ystr)].max_by {|x| x.size}
  end
end