





'''simple docstring'''






from __future__ import annotations

__lowerCamelCase						: Tuple		=   []


def 					_a   (__SCREAMING_SNAKE_CASE  ,      __SCREAMING_SNAKE_CASE  ,      __SCREAMING_SNAKE_CASE   ):


  """simple docstring"""

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


def 					_a   (__SCREAMING_SNAKE_CASE  ,      __SCREAMING_SNAKE_CASE   ):


  """simple docstring"""

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


def 					_a   (__SCREAMING_SNAKE_CASE   ):


  """simple docstring"""

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


# n=int(input("The no. of queens"))
__lowerCamelCase						: Dict		=   8
__lowerCamelCase						: List[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'''






from pathlib import Path

import cva
import numpy as np
from matplotlib import pyplot as plt


def 					_a   (__SCREAMING_SNAKE_CASE  ,      __SCREAMING_SNAKE_CASE  ,      __SCREAMING_SNAKE_CASE  ,      __SCREAMING_SNAKE_CASE  ,      __SCREAMING_SNAKE_CASE   ):


  """simple docstring"""

  _UpperCamelCase       			=cva.getAffineTransform(__SCREAMING_SNAKE_CASE  ,      __SCREAMING_SNAKE_CASE   )
  return cva.warpAffine(__SCREAMING_SNAKE_CASE  ,      __SCREAMING_SNAKE_CASE  ,      (rows, cols)   )


if __name__ == "__main__":
      # read original image
      __lowerCamelCase						: List[Any]		=   cva.imread(
          str(Path(__file__).resolve().parent.parent / 'image_data' / 'lena.jpg')
      )
      # turn image in gray scale value
      __lowerCamelCase						: List[Any]		=   cva.cvtColor(image, cva.COLOR_BGR2GRAY)
      # get image shape
      __lowerCamelCase		, __lowerCamelCase						: Any		=   gray_img.shape

      # set different points to rotate image
      __lowerCamelCase						: Optional[Any]		=   np.array([[50, 50], [200, 50], [50, 200]], np.floataa)
      __lowerCamelCase						: Any		=   np.array([[10, 100], [200, 50], [100, 250]], np.floataa)
      __lowerCamelCase						: int		=   np.array([[50, 50], [150, 50], [120, 200]], np.floataa)
      __lowerCamelCase						: List[Any]		=   np.array([[10, 100], [80, 50], [180, 250]], np.floataa)

      # add all rotated images in a list
      __lowerCamelCase						: int		=   [
          gray_img,
          get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
          get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
          get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
      ]

      # plot different image rotations
      __lowerCamelCase						: Optional[Any]		=   plt.figure(1)
      __lowerCamelCase						: Tuple		=   ['Original', 'Rotation 1', 'Rotation 2', 'Rotation 3']
      for i, image in enumerate(images):
            plt.subplot(2, 2, i + 1), plt.imshow(image, 'gray')
            plt.title(titles[i])
            plt.axis('off')
            plt.subplots_adjust(left=0.0, bottom=0.0_5, right=1.0, top=0.9_5)
      plt.show()






