





'''simple docstring'''

def       a__       (       lowercase      :  int   )	->	str:





     """simple docstring"""

     if not isinstance(lowercase,      lowercase   ):
          _UpperCamelCase       					= (
              '''operation can not be conducted on a object of type '''
              F"""{type(lowercase   ).__name__}"""
          )
          raise TypeError(lowercase   )
     _UpperCamelCase       					= ''''''
     for _ in range(0,      32   ):
          bit_string += str(number % 2   )
          _UpperCamelCase       					= number >> 1
     return bit_string







def       a__       (       lowercase      :  int   )	->	str:





     """simple docstring"""

     if number < 0:
          raise ValueError('''the value of input must be positive'''   )
     elif isinstance(lowercase,      lowercase   ):
          raise TypeError('''Input value must be a \'int\' type'''   )
     elif isinstance(lowercase,      lowercase   ):
          raise TypeError('''\'<\' not supported between instances of \'str\' and \'int\''''   )
     _UpperCamelCase       					= 0
     # iterator over [1 to 32],since we are dealing with 32 bit integer
     for _ in range(1,      33   ):
          # left shift the bits by unity
          _UpperCamelCase       					= result << 1
          # get the end bit
          _UpperCamelCase       					= number % 2
          # right shift the bits by unity
          _UpperCamelCase       					= number >> 1
          # add that bit to our ans
          _UpperCamelCase       					= result | end_bit
     return get_reverse_bit_string(lowercase   )


if __name__ == "__main__":
   import doctest

   doctest.testmod()










'''simple docstring'''

from __future__ import annotations







def       a__       (       lowercase      :  list[int | float]   )	->	int | float:





     """simple docstring"""

     if len(lowercase   ) == 0:
          raise ValueError('''find_min() arg is an empty sequence'''   )
     _UpperCamelCase       					= nums[0]
     for num in nums:
          _UpperCamelCase       					= min(lowercase,      lowercase   )
     return min_num


if __name__ == "__main__":
   import doctest

   doctest.testmod(verbose=True)



