

def 							__SCREAMING_SNAKE_CASE     (   a__    :   int       )					->				str:
	__A :			Optional[Any]		    =			int(a__       )
	if decimal in (0, 1):  # Exit cases for the recursion
		return str(a__       )
	__A    ,				__A :			Any		    =			divmod(a__			,2       )
	return binary_recursive(a__       ) + str(a__       )
def 							__SCREAMING_SNAKE_CASE     (   a__    :   str       )					->				Optional[int]:
	__A :			str		    =			str(a__       ).strip()
	if not number:
		raise ValueError("""No input value was provided"""       )
	__A :			int		    =			"""-""" if number.startswith("""-"""       ) else """"""
	__A :			List[str]		    =			number.lstrip("""-"""       )
	if not number.isnumeric():
		raise ValueError("""Input value is not an integer"""       )
	return f"""{negative}0b{binary_recursive(int(a__       )       )}"""


if __name__ == "__main__":
			from doctest import testmod

			testmod()







'''simple docstring'''
import numpy as np







def 		A_(     A						:		str		,     A						:		Optional[Any]		,     A						:		Tuple		,     A						:		Optional[int]		,     A						:		str):
							UpperCamelCase   			=     int(np.ceil((x_end - xa) / h))
							UpperCamelCase   			=     np.zeros((n + 1,))
							UpperCamelCase   			=     ya
							UpperCamelCase   			=     xa

							for k in range(A):
														UpperCamelCase   			=     f(A		,     y[k])
														UpperCamelCase   			=     f(x + 0.5 * h		,     y[k] + 0.5 * h * ka)
														UpperCamelCase   			=     f(x + 0.5 * h		,     y[k] + 0.5 * h * ka)
														UpperCamelCase   			=     f(x + h		,     y[k] + h * ka)
														UpperCamelCase   			=     y[k] + (1 / 6) * h * (ka + 2 * ka + 2 * ka + ka)
														x += h

							return y


if __name__ == "__main__":
						import doctest

						doctest.testmod()




