






"""simple docstring"""





from __future__ import annotations

from functools import lru_cache
from math import ceil

UpperCamelCase_	:				Dict										= 100

UpperCamelCase_	:				Tuple										= set(range(3, NUM_PRIMES, 2))
primes.add(2)
UpperCamelCase_	:				int

for prime in range(3, ceil(NUM_PRIMES**0.5), 2):
    if prime not in primes:
        continue
    primes.difference_update(set(range(prime * prime, NUM_PRIMES, prime)))



@lru_cache(maxsize=100 )
def     __lowercase					(    a :				int )					->					set[int]:
      if number_to_partition < 0:
            return set()
      elif number_to_partition == 0:
            return {1}

      __snake_case      :    set[int]  			=set()
      __snake_case      :    int
      __snake_case      :    int

      for prime in primes:
            if prime > number_to_partition:
                  continue
            for sub in partition(number_to_partition - prime ):
                  ret.add(sub * prime )

      return ret



def     __lowercase					(    a :				int = 5_000 )					->					int | None:
      for number_to_partition in range(1       ,		a ):
            if len(partition(a ) ) > number_unique_partitions:
                  return number_to_partition
      return None


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










"""simple docstring"""





def     __lowercase					(    a :				str       ,		a :				str )					->					str:
      __snake_case      :    int  			=len(a )
      __snake_case      :    int  			=len(a )
      __snake_case      :    int  			=(
          first_str_length if first_str_length > second_str_length else second_str_length
      )
      __snake_case      :    list  			=[]
      for char_count in range(a ):
            if char_count < first_str_length:
                  output_list.append(first_str[char_count] )
            if char_count < second_str_length:
                  output_list.append(second_str[char_count] )
      return "".join(a )


if __name__ == "__main__":
    print(alternative_string_arrange("""AB""", """XYZ"""), end=""" """)


