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class Array

  def powerset
    num = 2**size
    ps = Array.new(num, [])
    self.each_index do |i|
      a = 2**i
      b = 2**(i+1) - 1
      j = 0
      while j < num-1
        for j in j+a..j+b
          ps[j] += [self[i]]
        end
        j += 1
      end
    end
    ps
  end

end

x = [1, 2, 3]
y = x.powerset
p y
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def change_str(num)
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