


"""simple docstring"""







from __future__ import annotations




def        UpperCAmelCase__	(lowerCAmelCase_  ,						lowerCAmelCase_  ,						lowerCAmelCase_  ,						lowerCAmelCase_       ):  # noqa: E741




					'''simple docstring'''


					while r - l > 1:
										__SCREAMING_SNAKE_CASE						       =    (l + r) // 2
										if v[m] >= key:
															__SCREAMING_SNAKE_CASE						       =    m
										else:
															__SCREAMING_SNAKE_CASE						       =    m  # noqa: E741
					return r




def        UpperCAmelCase__	(lowerCAmelCase_       ):




					'''simple docstring'''


					if len(lowerCAmelCase_       ) == 0:
										return 0

					__SCREAMING_SNAKE_CASE						       =    [0] * len(lowerCAmelCase_       )
					__SCREAMING_SNAKE_CASE						       =    1

					__SCREAMING_SNAKE_CASE						       =    v[0]

					for i in range(1  ,						len(lowerCAmelCase_       )       ):
										if v[i] < tail[0]:
															__SCREAMING_SNAKE_CASE						       =    v[i]
										elif v[i] > tail[length - 1]:
															__SCREAMING_SNAKE_CASE						       =    v[i]
															length += 1
										else:
															__SCREAMING_SNAKE_CASE						       =    v[i]

					return length


if __name__ == "__main__":
		import doctest

		doctest.testmod()




"""simple docstring"""







def        UpperCAmelCase__	(lowerCAmelCase_  ,						lowerCAmelCase_       ):




					'''simple docstring'''


					__SCREAMING_SNAKE_CASE						       =    [0 for i in range(r + 1       )]
					# nc0 = 1
					__SCREAMING_SNAKE_CASE						       =    1
					for i in range(1  ,						n + 1       ):
										# to compute current row from previous row.
										__SCREAMING_SNAKE_CASE						       =    min(lowerCAmelCase_  ,						lowerCAmelCase_       )
										while j > 0:
															c[j] += c[j - 1]
															j -= 1
					return c[r]



print(binomial_coefficient(n=1_0, r=5))
