





def 						__SCREAMING_SNAKE_CASE  (				UpperCamelCase__ )  ->				Tuple:







			'''simple docstring'''

			UpperCAmelCase   		=				[[0 for _ in range(UpperCAmelCase_ )] for _ in range(m + 1 )]
			for i in range(m + 1 ):
						UpperCAmelCase   		=				1

			for n in range(m + 1 ):
						for k in range(1			,			UpperCAmelCase_ ):
									memo[n][k] += memo[n][k - 1]
									if n - k > 0:
												memo[n][k] += memo[n - k - 1][k]

			return memo[m][m - 1]


if __name__ == "__main__":
				import sys

				if len(sys.argv) == 1:
								try:
												__A				:    Optional[int]       =   int(input("Enter a number: ").strip())
												print(partition(n))
								except ValueError:
												print("Please enter a number.")
				else:
								try:
												__A				:    str       =   int(sys.argv[1])
												print(partition(n))
								except ValueError:
												print("Please pass a number.")







'''simple docstring'''

import math





def __snake_case					(      UpperCAmelCase_						:						int		):
 lowerCamelCase_      =  math.loga(math.sqrt(4 * positive_integer + 1		) / 2 + 1 / 2		)

 return exponent == int(UpperCAmelCase_		)





def __snake_case					(      UpperCAmelCase_						:						float = 1 / 12345		):
 lowerCamelCase_      =  0
 lowerCamelCase_      =  0

 lowerCamelCase_      =  3
 while True:
  lowerCamelCase_      =  (integer**2 - 1) / 4
  # if candidate is an integer, then there is a partition for k
  if partition_candidate == int(UpperCAmelCase_		):
   lowerCamelCase_      =  int(UpperCAmelCase_		)
   total_partitions += 1
   if check_partition_perfect(UpperCAmelCase_		):
    perfect_partitions += 1
  if perfect_partitions > 0:
   if perfect_partitions / total_partitions < max_proportion:
    return int(UpperCAmelCase_		)
  integer += 1


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



