



"""simple docstring"""
from __future__ import annotations

_lowerCAmelCase    :str     =					[]





def  lowerCamelCase_						(UpperCamelCase__		:		list[list[int]]     ,       UpperCamelCase__		:		int     ,       UpperCamelCase__		:		int							):
    for i in range(len(UpperCamelCase__							)							):
        if board[row][i] == 1:
            return False
    for i in range(len(UpperCamelCase__							)							):
        if board[i][column] == 1:
            return False
    for i, j in zip(range(UpperCamelCase__     ,       -1     ,       -1							)     ,       range(UpperCamelCase__     ,       -1     ,       -1							)							):
        if board[i][j] == 1:
            return False
    for i, j in zip(range(UpperCamelCase__     ,       -1     ,       -1							)     ,       range(UpperCamelCase__     ,       len(UpperCamelCase__							)							)							):
        if board[i][j] == 1:
            return False
    return True





def  lowerCamelCase_						(UpperCamelCase__		:		list[list[int]]     ,       UpperCamelCase__		:		int							):
    if row >= len(UpperCamelCase__							):
        solution.append(UpperCamelCase__							)
        printboard(UpperCamelCase__							)
        print()
        return True
    for i in range(len(UpperCamelCase__							)							):
        if is_safe(UpperCamelCase__     ,       UpperCamelCase__     ,       UpperCamelCase__							):
            _UpperCAmelCase							:  Dict											=    1
            solve(UpperCamelCase__     ,       row + 1							)
            _UpperCAmelCase							:  Dict											=    0
    return False





def  lowerCamelCase_						(UpperCamelCase__		:		list[list[int]]							):
    for i in range(len(UpperCamelCase__							)							):
        for j in range(len(UpperCamelCase__							)							):
            if board[i][j] == 1:
                print('''Q'''     ,       end=''' '''							)
            else:
                print('''.'''     ,       end=''' '''							)
        print()


# n=int(input("The no. of queens"))
_lowerCAmelCase    :Dict     =					8
_lowerCAmelCase    :Optional[Any]     =					[[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"""
import math

from numpy import inf
from scipy.integrate import quad





def  lowerCamelCase_						(UpperCamelCase__		:		float							):
    if num <= 0:
        raise ValueError('''math domain error'''							)

    return quad(UpperCamelCase__     ,       0     ,       UpperCamelCase__     ,       args=(UpperCamelCase__)							)[0]





def  lowerCamelCase_						(UpperCamelCase__		:		float     ,       UpperCamelCase__		:		float							):
    return math.pow(UpperCamelCase__     ,       z - 1							) * math.exp(-x							)


if __name__ == "__main__":
  from doctest import testmod

  testmod()


