


def   lowerCamelCase_					( _a = 100 ):




  """simple docstring"""






  lowerCAmelCase__     :    List[str]					  =      [[0 for _ in range(_UpperCamelCase )] for _ in range(m + 1 )]
  for i in range(m + 1 ):
    lowerCAmelCase__     :    str					  =      1

  for n in range(m + 1 ):
    for k in range(1			,     _UpperCamelCase ):
      memo[n][k] += memo[n][k - 1]
      if n > k:
        memo[n][k] += memo[n - k - 1][k]

  return memo[m][m - 1] - 1


if __name__ == "__main__":
  print(solution(int(input('''Enter a number: ''').strip())))








from itertools import count
from math import asin, pi, sqrt






def   lowerCamelCase_					( _a ):




		"""simple docstring"""






		return (
		    (1 - 2 * point) * sqrt(point - point**2 ) + 2 * point + asin(sqrt(1 - point ) )
		) / 4






def   lowerCamelCase_					( _a ):




		"""simple docstring"""






		lowerCAmelCase__     :    Union[str, Any]					  =      (circles_number + 1 - sqrt(2 * circles_number )) / (
		    2 * (circles_number**2 + 1)
		)
		lowerCAmelCase__     :    Tuple					  =      circles_number * intersection_y

		lowerCAmelCase__     :    Any					  =      intersection_x * intersection_y / 2
		lowerCAmelCase__     :    Optional[Any]					  =      circle_bottom_arc_integral(
		    1 / 2 ) - circle_bottom_arc_integral(_a )

		return triangle_area + concave_region_area






def   lowerCamelCase_					( _a = 1 / 1_000 ):




		"""simple docstring"""






		lowerCAmelCase__     :    Any					  =      (1 - pi / 4) / 4

		for n in count(1 ):
				if concave_triangle_area(_a ) / l_section_area < fraction:
						return n

		return -1


if __name__ == "__main__":
		print(f'''{solution() = }''')




