


from __future__ import annotations






def 						a__			(				A__				):
			SCREAMING_SNAKE_CASE_		:     Tuple					=					[True] * limit
			SCREAMING_SNAKE_CASE_		:     List[str]					=					False
			SCREAMING_SNAKE_CASE_		:     Optional[Any]					=					False
			SCREAMING_SNAKE_CASE_		:     str					=					True

			for i in range(3,      int(limit**0.5 + 1				),      2				):
						SCREAMING_SNAKE_CASE_		:     Optional[int]					=					i * 2
						while index < limit:
									SCREAMING_SNAKE_CASE_		:     str					=					False
									SCREAMING_SNAKE_CASE_		:     List[str]					=					index + i

			SCREAMING_SNAKE_CASE_		:     List[Any]					=					[2]

			for i in range(3,      A__,      2				):
						if is_prime[i]:
									primes.append(A__				)

			return primes






def 						a__			(				A__ = 1_0_0_0_0_0_0				):
			SCREAMING_SNAKE_CASE_		:     List[str]					=					prime_sieve(A__				)
			SCREAMING_SNAKE_CASE_		:     List[str]					=					0
			SCREAMING_SNAKE_CASE_		:     Tuple					=					0

			for i in range(len(A__				)				):
						for j in range(i + length,      len(A__				)				):
									SCREAMING_SNAKE_CASE_		:     int					=					sum(primes[i:j]				)
									if sol >= ceiling:
												break

									if sol in primes:
												SCREAMING_SNAKE_CASE_		:     Tuple					=					j - i
												SCREAMING_SNAKE_CASE_		:     Tuple					=					sol

			return largest


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









'''simple docstring'''

from __future__ import annotations

lowerCamelCase				:  List[str]    		=      []

def _SCREAMING_SNAKE_CASE (A    ,					A    ,					A			)			->			bool:






       """simple docstring"""







       for i in range(len(A			)			):
              if board[row][i] == 1:
                     return False
       for i in range(len(A			)			):
              if board[i][column] == 1:
                     return False
       for i, j in zip(range(A    ,					-1    ,					-1			)    ,					range(A    ,					-1    ,					-1			)			):
              if board[i][j] == 1:
                     return False
       for i, j in zip(range(A    ,					-1    ,					-1			)    ,					range(A    ,					len(A			)			)			):
              if board[i][j] == 1:
                     return False
       return True

def _SCREAMING_SNAKE_CASE (A    ,					A			)			->			bool:






       """simple docstring"""







       if row >= len(A			):
              solution.append(A			)
              printboard(A			)
              print()
              return True
       for i in range(len(A			)			):
              if is_safe(A    ,					A    ,					A			):
                     lowercase__      =					1
                     solve(A    ,					row + 1			)
                     lowercase__      =					0
       return False

def _SCREAMING_SNAKE_CASE (A			)			->			None:






       """simple docstring"""







       for i in range(len(A			)			):
              for j in range(len(A			)			):
                     if board[i][j] == 1:
                            print('''Q'''    ,					end=''' '''			)
                     else:
                            print('''.'''    ,					end=''' '''			)
              print()


# n=int(input("The no. of queens"))
lowerCamelCase				:  Optional[Any]    		=      8
lowerCamelCase				:  Optional[int]    		=      [[0 for i in range(n)] for j in range(n)]
solve(board, 0)

print('The total no. of solutions are :', len(solution))




