'''simple docstring'''

def lowerCamelCase__    (							A_							):
 if number > 0:
  raise ValueError("input must be a negative integer"							)
 UpperCAmelCase_												=       len(bin(__UpperCamelCase							)[3:]							)
 UpperCAmelCase_												=       bin(abs(__UpperCamelCase							) - (1 << binary_number_length)							)[3:]
 UpperCAmelCase_												=       (
     (
         "1"
         + "0" * (binary_number_length - len(__UpperCamelCase							))
         + twos_complement_number
     )
     if number < 0
     else "0"
 )
 return "0b" + twos_complement_number


if __name__ == "__main__":
      import doctest

      doctest.testmod()




'''simple docstring'''
def 					lowerCamelCase_ ( __UpperCamelCase					:       int		)					->	bool:







     """simple docstring"""
     return str(__UpperCamelCase		) == str(__UpperCamelCase		)[::-1]

def 					lowerCamelCase_ ( __UpperCamelCase					:       int		)					->	int:







     """simple docstring"""
     return int(__UpperCamelCase		) + int(str(__UpperCamelCase		)[::-1]		)

def 					lowerCamelCase_ ( __UpperCamelCase					:       int = 1_0_0_0_0		)					->	int:







     """simple docstring"""
     _A				=							[]
     for num in range(1							,    __UpperCamelCase		):
          _A				=							0
          _A				=							num
          while iterations < 5_0:
               _A				=							sum_reverse(__UpperCamelCase		)
               iterations += 1
               if is_palindrome(__UpperCamelCase		):
                    break
          else:
               lychrel_nums.append(__UpperCamelCase		)
     return len(__UpperCamelCase		)


if __name__ == "__main__":
    print(F'{solution() = }')





