"""simple docstring"""






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

   lowercase__:   List[str]					=      str(bin(__UpperCAmelCase ) )
   binary_number += "0" * shift_amount
   return binary_number



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

   lowercase__:   Any					=      str(bin(__UpperCAmelCase ) )[2:]
   if shift_amount >= len(__UpperCAmelCase ):
      return "0b0"
   lowercase__:   List[str]					=      binary_number[: len(__UpperCAmelCase ) - shift_amount]
   return "0b" + shifted_binary_number



def SCREAMING_SNAKE_CASE__			(   __UpperCAmelCase       ,    __UpperCAmelCase )  ->  str:
   if number >= 0:  # Get binary representation of positive number
      lowercase__:   Optional[Any]					=      '''0''' + str(bin(__UpperCAmelCase ) ).strip('''-''' )[2:]
   else:  # Get binary (2's complement) representation of negative number
      lowercase__:   Union[str, Any]					=      len(bin(__UpperCAmelCase )[3:] )  # Find 2's complement of number
      lowercase__:   Any					=      bin(abs(__UpperCAmelCase ) - (1 << binary_number_length) )[3:]
      lowercase__:   str					=      (
          '''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 SCREAMING_SNAKE_CASE__			(   __UpperCAmelCase )  ->  int:

   if not grid or not grid[0]:
      raise TypeError('''The grid does not contain the appropriate information''' )

   for cell_n in range(1       ,    len(grid[0] ) ):
      grid[0][cell_n] += grid[0][cell_n - 1]
   lowercase__:   Tuple					=      grid[0]

   for row_n in range(1       ,    len(__UpperCAmelCase ) ):
      lowercase__:   Tuple					=      grid[row_n]
      lowercase__:   Dict					=      fill_row(__UpperCAmelCase       ,    __UpperCAmelCase )
      lowercase__:   Union[str, Any]					=      grid[row_n]

   return grid[-1][-1]



def SCREAMING_SNAKE_CASE__			(   __UpperCAmelCase       ,    __UpperCAmelCase )  ->  list:
   current_row[0] += row_above[0]
   for cell_n in range(1       ,    len(__UpperCAmelCase ) ):
      current_row[cell_n] += min(current_row[cell_n - 1]       ,    row_above[cell_n] )

   return current_row


if __name__ == "__main__":
       import doctest

       doctest.testmod()
