





import math
import sys

import cva
import numpy as np






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:np.ndarray   ,   SCREAMING_SNAKE_CASE		:float   )      ->   np.ndarray:
 # For applying gaussian function for each element in matrix.
 __lowerCAmelCase					:	Optional[int]      =       math.sqrt(SCREAMING_SNAKE_CASE   )
 __lowerCAmelCase					:	List[str]      =       1 / (sigma * math.sqrt(2 * math.pi   ))
 return cons * np.exp(-((img / sigma) ** 2) * 0.5   )






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:np.ndarray   ,   SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:int   )      ->   np.ndarray:
 __lowerCAmelCase					:	Tuple      =       kernel_size // 2
 return img[x - half : x + half + 1, y - half : y + half + 1]






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:float   )      ->   np.ndarray:
 # Creates a gaussian kernel of given dimension.
 __lowerCAmelCase					:	int      =       np.zeros((kernel_size, kernel_size)   )
 for i in range(0   ,   SCREAMING_SNAKE_CASE   ):
  for j in range(0   ,   SCREAMING_SNAKE_CASE   ):
   __lowerCAmelCase					:	List[Any]      =       math.sqrt(
       abs(i - kernel_size // 2   ) ** 2 + abs(j - kernel_size // 2   ) ** 2   )
 return vec_gaussian(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:np.ndarray   ,   SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:int   ,   )      ->   np.ndarray:
 __lowerCAmelCase					:	Optional[int]      =       np.zeros(img.shape   )
 __lowerCAmelCase					:	List[str]      =       get_gauss_kernel(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )
 __lowerCAmelCase ,					__lowerCAmelCase					:	Optional[Any]      =       img.shape
 for i in range(kernel_size // 2   ,   size_x - kernel_size // 2   ):
  for j in range(kernel_size // 2   ,   size_y - kernel_size // 2   ):
   __lowerCAmelCase					:	Union[str, Any]      =       get_slice(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )
   __lowerCAmelCase					:	Union[str, Any]      =       img_s - img_s[kernel_size // 2, kernel_size // 2]
   __lowerCAmelCase					:	Tuple      =       vec_gaussian(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )
   __lowerCAmelCase					:	Optional[Any]      =       np.multiply(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )
   __lowerCAmelCase					:	int      =       np.multiply(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )
   __lowerCAmelCase					:	List[str]      =       np.sum(SCREAMING_SNAKE_CASE   ) / np.sum(SCREAMING_SNAKE_CASE   )
   __lowerCAmelCase					:	str      =       val
 return imga






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:list   )      ->   tuple:
 __lowerCAmelCase					:	Optional[int]      =       args[1] if args[1:] else """../image_data/lena.jpg"""
 __lowerCAmelCase					:	List[Any]      =       float(args[2]   ) if args[2:] else 1.0
 __lowerCAmelCase					:	str      =       float(args[3]   ) if args[3:] else 1.0
 if args[4:]:
  __lowerCAmelCase					:	Union[str, Any]      =       int(args[4]   )
  __lowerCAmelCase					:	Tuple      =       kernel_size + abs(kernel_size % 2 - 1   )
 else:
  __lowerCAmelCase					:	Optional[Any]      =       5
 return filename, spatial_variance, intensity_variance, kernel_size


if __name__ == "__main__":
      _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase             =							parse_args(sys.argv)
      _UpperCAmelCase             =							cva.imread(filename, 0)
      cva.imshow('input image', img)

      _UpperCAmelCase             =							img / 255
      _UpperCAmelCase             =							out.astype('float32')
      _UpperCAmelCase             =							bilateral_filter(out, spatial_variance, intensity_variance, kernel_size)
      _UpperCAmelCase             =							out * 255
      _UpperCAmelCase             =							np.uinta(out)
      cva.imshow('output image', out)
      cva.waitKey(0)
      cva.destroyAllWindows()






from math import isqrt






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:int   )      ->   list[int]:
 __lowerCAmelCase					:	Tuple      =       [True] * max_number
 for i in range(2   ,   isqrt(max_number - 1   ) + 1   ):
  if is_prime[i]:
   for j in range(i**2   ,   SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   ):
    __lowerCAmelCase					:	Tuple      =       False

 return [i for i in range(2   ,   SCREAMING_SNAKE_CASE   ) if is_prime[i]]






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:int = 10**8   )      ->   int:
 __lowerCAmelCase					:	int      =       calculate_prime_numbers(max_number // 2   )

 __lowerCAmelCase					:	List[Any]      =       0
 __lowerCAmelCase					:	List[str]      =       0
 __lowerCAmelCase					:	List[Any]      =       len(SCREAMING_SNAKE_CASE   ) - 1
 while left <= right:
  while prime_numbers[left] * prime_numbers[right] >= max_number:
   right -= 1
  semiprimes_count += right - left + 1
  left += 1

 return semiprimes_count


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