

'''simple docstring'''







def       UpperCAmelCase__    (      UpperCAmelCase__,       UpperCAmelCase__				)			->			str:
       if number < 0 or shift_amount < 0:
              raise ValueError("""both inputs must be positive integers"""				)

       A_						=      str(bin(UpperCAmelCase__				)				)
       binary_number += "0" * shift_amount
       return binary_number
def       UpperCAmelCase__    (      UpperCAmelCase__,       UpperCAmelCase__				)			->			str:
       if number < 0 or shift_amount < 0:
              raise ValueError("""both inputs must be positive integers"""				)

       A_						=      str(bin(UpperCAmelCase__				)				)[2:]
       if shift_amount >= len(UpperCAmelCase__				):
              return "0b0"
       A_						=      binary_number[: len(UpperCAmelCase__				) - shift_amount]
       return "0b" + shifted_binary_number
def       UpperCAmelCase__    (      UpperCAmelCase__,       UpperCAmelCase__				)			->			str:
       if number >= 0:  # Get binary representation of positive number
              A_						=      """0""" + str(bin(UpperCAmelCase__				)				).strip("""-"""				)[2:]
       else:  # Get binary (2's complement) representation of negative number
              A_						=      len(bin(UpperCAmelCase__				)[3:]				)  # Find 2's complement of number
              A_						=      bin(abs(UpperCAmelCase__				) - (1 << binary_number_length)				)[3:]
              A_						=      (
                  """1""" + """0""" * (binary_number_length - len(UpperCAmelCase__				)) + binary_number
              )

       if shift_amount >= len(UpperCAmelCase__				):
              return "0b" + binary_number[0] * len(UpperCAmelCase__				)
       return (
           "0b"
           + binary_number[0] * shift_amount
           + binary_number[: len(UpperCAmelCase__				) - shift_amount]
       )


if __name__ == "__main__":
      import doctest

      doctest.testmod()



'''simple docstring'''







def       UpperCAmelCase__    (      UpperCAmelCase__,       UpperCAmelCase__,       UpperCAmelCase__ = 0,       UpperCAmelCase__ = 0				)			->			int:
       A_						=      right or len(UpperCAmelCase__				) - 1
       if left > right:
              return -1
       elif list_data[left] == key:
              return left
       elif list_data[right] == key:
              return right
       else:
              return search(UpperCAmelCase__,       UpperCAmelCase__,       left + 1,       right - 1				)


if __name__ == "__main__":
      import doctest

      doctest.testmod()
