


from __future__ import annotations

__a       =					[]




def 	__lowercase		(  _UpperCamelCase,			_UpperCamelCase,			_UpperCamelCase   )			->bool:







      """simple docstring"""

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




def 	__lowercase		(  _UpperCamelCase,			_UpperCamelCase   )			->bool:







      """simple docstring"""

      if row >= len(snake_case_   ):
            solution.append(snake_case_   )
            printboard(snake_case_   )
            print()
            return True
      for i in range(len(snake_case_   )   ):
            if is_safe(snake_case_,			snake_case_,			snake_case_   ):
                  lowercase	:      Union[str, Any]          =						1
                  solve(snake_case_,			row + 1   )
                  lowercase	:      int          =						0
      return False




def 	__lowercase		(  _UpperCamelCase   )			->None:







      """simple docstring"""

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


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



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


'''simple docstring'''





from math import log

from scipy.constants import Boltzmann, physical_constants

SCREAMING_SNAKE_CASE_:     Optional[int]  =3_00  # TEMPERATURE (unit = K)





def 	lowerCAmelCase_				(					snake_case_       : float					,    snake_case_       : float					,    snake_case_       : float					,    )    ->      float:


     '''simple docstring'''




     if donor_conc <= 0:
          raise ValueError("Donor concentration should be positive"			)
     elif acceptor_conc <= 0:
          raise ValueError("Acceptor concentration should be positive"			)
     elif intrinsic_conc <= 0:
          raise ValueError("Intrinsic concentration should be positive"			)
     elif donor_conc <= intrinsic_conc:
          raise ValueError(
              "Donor concentration should be greater than intrinsic concentration"			)
     elif acceptor_conc <= intrinsic_conc:
          raise ValueError(
              "Acceptor concentration should be greater than intrinsic concentration"			)
     else:
          return (
              Boltzmann
              * T
              * log((donor_conc * acceptor_conc) / intrinsic_conc**2			)
              / physical_constants["electron volt"][0]
          )


if __name__ == "__main__":
    import doctest

    doctest.testmod()




