





'''simple docstring'''


from collections import Counter
from functools import total_ordering

from data_structures.heap.heap import Heap
@total_ordering
class    a_     :





     def __init__(				self	:      Optional[Any]			,   lowercase	:      str			,   lowercase	:      int		):





        """simple docstring"""




        lowercase_    :Union[str, Any]					    =				word
        lowercase_    :Optional[Any]					    =				count





     def __eq__(				self	:      Dict			,   lowercase	:      object		):





        """simple docstring"""




        if not isinstance(UpperCamelCase__			,   UpperCamelCase__		):
           return NotImplemented
        return self.count == other.count







     def __lt__(				self	:      Optional[int]			,   lowercase	:      object		):





        """simple docstring"""




        if not isinstance(UpperCamelCase__			,   UpperCamelCase__		):
           return NotImplemented
        return self.count < other.count







def 							UpperCAmelCase_						(		__lowerCamelCase      :      Optional[Any]			,__lowerCamelCase      :      Optional[Any]				):
   lowercase_    :Heap[WordCount]					    =				Heap()
   lowercase_    :int					    =				Counter(SCREAMING_SNAKE_CASE__				)
   heap.build_max_heap(
       [WordCount(SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__				) for word, count in count_by_word.items()]				)
   return [heap.extract_max().word for _ in range(min(SCREAMING_SNAKE_CASE__			,len(SCREAMING_SNAKE_CASE__				)				)				)]


if __name__ == "__main__":
  import doctest

  doctest.testmod()









'''simple docstring'''


import math
def 							UpperCAmelCase_						(		__lowerCamelCase      :      int				):

   if 1 < number < 4:
      # 2 and 3 are primes
      return True
   elif number < 2 or number % 2 == 0 or number % 3 == 0:
      # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
      return False

   # All primes number are in format of 6k +/- 1
   for i in range(5			,int(math.sqrt(__lowerCamelCase				) + 1				)			,6				):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True
def 							UpperCAmelCase_						(		__lowerCamelCase      :      int = 2_00_00_00				):
   return sum(num for num in range(3			,__lowerCamelCase			,2				) if is_prime(__lowerCamelCase				)				) + 2 if n > 2 else 0


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


