



"""simple docstring"""







from math import factorial


def  __SCREAMING_SNAKE_CASE (  __UpperCAmelCase   ,				__UpperCAmelCase      ):
		return factorial(__UpperCAmelCase      ) / (factorial(__UpperCAmelCase      ) * factorial(n - r      ))


def  __SCREAMING_SNAKE_CASE (  ):
		_lowercase				: Optional[Any]     =   0

		for i in range(1   ,				101      ):
				for j in range(1   ,				i + 1      ):
						if combinations(__UpperCAmelCase   ,				__UpperCAmelCase      ) > 1E6:
								total += 1
		return total


if __name__ == "__main__":
		print(solution())







import numpy as np

def       _a	(					SCREAMING_SNAKE_CASE						:					Tuple  ):







 """simple docstring"""



 UpperCamelCase__       :     str 							= np.exp(SCREAMING_SNAKE_CASE  )

 # Add up the all the exponentials
 UpperCamelCase__       :     Optional[int] 							= np.sum(SCREAMING_SNAKE_CASE  )

 # Divide every exponent by the sum of all exponents
 UpperCamelCase__       :     Optional[Any] 							= exponent_vector / sum_of_exponents

 return softmax_vector


if __name__ == "__main__":
       print(softmax((0,)))


