
'''simple docstring'''



from __future__ import annotations

class    _a				:





       """simple docstring"""




       def __init__(							self       ,							A__      )    ->			None:
          _SCREAMING_SNAKE_CASE      =				data
          _SCREAMING_SNAKE_CASE      =				None
          _SCREAMING_SNAKE_CASE      =				None






def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     None:  # In Order traversal of the tree




   """simple docstring"""
   if tree:
      display(tree.left						)
      print(tree.data						)
      display(tree.right						)
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     int:




   """simple docstring"""
   return 1 + max(depth_of_tree(tree.left						)    ,      depth_of_tree(tree.right						)						) if tree else 0
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     bool:




   """simple docstring"""
   if not tree:
      return True
   if tree.left and tree.right:
      return is_full_binary_tree(tree.left						) and is_full_binary_tree(tree.right						)
   else:
      return not tree.left and not tree.right
def    lowerCAmelCase_	(				)     ->     None:  # Main function for testing.




   """simple docstring"""
   _SCREAMING_SNAKE_CASE      =				Node(1						)
   _SCREAMING_SNAKE_CASE      =				Node(2						)
   _SCREAMING_SNAKE_CASE      =				Node(3						)
   _SCREAMING_SNAKE_CASE      =				Node(4						)
   _SCREAMING_SNAKE_CASE      =				Node(5						)
   _SCREAMING_SNAKE_CASE      =				Node(6						)
   _SCREAMING_SNAKE_CASE      =				Node(7						)
   _SCREAMING_SNAKE_CASE      =				Node(8						)
   _SCREAMING_SNAKE_CASE      =				Node(9						)

   print(is_full_binary_tree(SCREAMING_SNAKE_CASE_						)						)
   print(depth_of_tree(SCREAMING_SNAKE_CASE_						)						)
   print("""Tree is: """						)
   display(SCREAMING_SNAKE_CASE_						)


if __name__ == "__main__":
     main()








'''simple docstring'''



import math
from collections.abc import Iterator
from itertools import takewhile
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     bool:




   """simple docstring"""

   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(SCREAMING_SNAKE_CASE_						) + 1						)    ,      6						):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True
def    lowerCAmelCase_	(				)     ->     Iterator[int]:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE      =				2
   while True:
      if is_prime(SCREAMING_SNAKE_CASE_						):
         yield num
      num += 1
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_ = 2_00_00_00						)     ->     int:




   """simple docstring"""
   return sum(takewhile(lambda SCREAMING_SNAKE_CASE_						: x < n    ,      prime_generator()						)						)


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






