


"""simple docstring"""







from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass






@dataclass
class 				__A    :






 """simple docstring"""




 __lowerCAmelCase			 =  42
 __lowerCAmelCase			 =  None
 __lowerCAmelCase			 =  None

lowerCamelCase_       :       str      						=  namedtuple("""CoinsDistribResult""", """moves excess""")
def _A						(						lowercase		):







    """simple docstring"""

    if root is None:
        return 0

    # Validation
    def count_nodes(lowercase		) -> int:
        if node is None:
            return 0

        return count_nodes(node.left		) + count_nodes(node.right		) + 1

    def count_coins(lowercase		) -> int:
        if node is None:
            return 0

        return count_coins(node.left		) + count_coins(node.right		) + node.data

    if count_nodes(lowercase__		) != count_coins(lowercase__		):
        raise ValueError('''The nodes number should be same as the number of coins'''		)

    # Main calculation
    def get_distrib(lowercase		) -> CoinsDistribResult:

        if node is None:
            return CoinsDistribResult(0	,   1		)

        a					=get_distrib(node.left		)
        a					=get_distrib(node.right		)

        a					=1 - left_distrib_excess
        a					=1 - right_distrib_excess

        a					=(
            left_distrib_moves
            + right_distrib_moves
            + abs(lowercase__		)
            + abs(lowercase__		)
        )
        a					=node.data - coins_to_left - coins_to_right

        return CoinsDistribResult(lowercase__	,   lowercase__		)

    return get_distrib(lowercase__		)[0]


if __name__ == "__main__":
       import doctest

       doctest.testmod()



"""simple docstring"""







def _A						(						lowercase = 2_00_00_00		):







    """simple docstring"""
    a					=[0 for i in range(n + 1		)]
    a					=1
    a					=1

    for i in range(2	,   int(n**0.5		) + 1		):
        if primality_list[i] == 0:
            for j in range(i * i	,   n + 1	,   lowercase		):
                a					=1
    a					=0
    for i in range(lowercase		):
        if primality_list[i] == 0:
            sum_of_primes += i
    return sum_of_primes


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