





from __future__ import annotations

from typing import TypedDict
class SCREAMING_SNAKE_CASE_  (   snake_case_   ):
						__magic_name__:     str
						__magic_name__:     int


def 							SCREAMING_SNAKE_CASE__  (      __a				):
	if not isinstance(__a				,	__a				):
		raise TypeError('The parameter s type must be str.'				)

	return [s[i:] + s[:i] for i in range(len(__a				)				)]


def 							SCREAMING_SNAKE_CASE__  (      __a				):
	if not isinstance(__a				,	__a				):
		raise TypeError('The parameter s type must be str.'				)
	if not s:
		raise ValueError('The parameter s must not be empty.'				)

	snake_case_						:     Optional[Any]     =		all_rotations(__a				)
	rotations.sort()  # sort the list of rotations in alphabetically order
	# make a string composed of the last char of each rotation
	snake_case_						:     BWTTransformDict     =		{
	    "bwt_string": "".join([word[-1] for word in rotations]				),
	    "idx_original_string": rotations.index(__a				),
	}
	return response


def 							SCREAMING_SNAKE_CASE__  (      __a				,	__a				):
	if not isinstance(__a				,	__a				):
		raise TypeError('The parameter bwt_string type must be str.'				)
	if not bwt_string:
		raise ValueError('The parameter bwt_string must not be empty.'				)
	try:
		snake_case_						:     str     =		int(__a				)
	except ValueError:
		raise TypeError(
		    'The parameter idx_original_string type must be int or passive'
		    ' of cast to int.'				)
	if idx_original_string < 0:
		raise ValueError('The parameter idx_original_string must not be lower than 0.'				)
	if idx_original_string >= len(__a				):
		raise ValueError(
		    'The parameter idx_original_string must be lower than' ' len(bwt_string).'				)

	snake_case_						:     Union[str, Any]     =		[''] * len(__a				)
	for _ in range(len(__a				)				):
		for i in range(len(__a				)				):
			snake_case_						:     Dict     =		bwt_string[i] + ordered_rotations[i]
		ordered_rotations.sort()
	return ordered_rotations[idx_original_string]


if __name__ == "__main__":
						_SCREAMING_SNAKE_CASE 		=						"""Provide a string that I will generate its BWT transform: """
						_SCREAMING_SNAKE_CASE 		=						input(entry_msg).strip()
						_SCREAMING_SNAKE_CASE 		=						bwt_transform(s)
						print(
						    F'''Burrows Wheeler transform for string \'{s}\' results '''
						    F'''in \'{result['bwt_string']}\''''
						)
						_SCREAMING_SNAKE_CASE 		=						reverse_bwt(result["""bwt_string"""], result["""idx_original_string"""])
						print(
						    F'''Reversing Burrows Wheeler transform for entry \'{result['bwt_string']}\' '''
						    F'''we get original string \'{original_string}\''''
						)








from itertools import product

from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey
from numpy import dot, exp, mgrid, pi, ravel, square, uinta, zeros


def 							SCREAMING_SNAKE_CASE__  (      __a				,	__a				):
	snake_case_						:     List[Any]     =		k_size // 2
	snake_case_  ,snake_case_						:     Any     =		mgrid[0 - center : k_size - center, 0 - center : k_size - center]
	snake_case_						:     Optional[Any]     =		1 / (2 * pi * sigma) * exp(-(square(__a				) + square(__a				)) / (2 * square(__a				))				)
	return g


def 							SCREAMING_SNAKE_CASE__  (      __a				,	__a				,	__a				):
	snake_case_  ,snake_case_						:     Union[str, Any]     =		image.shape[0], image.shape[1]
	# dst image height and width
	snake_case_						:     int     =		height - k_size + 1
	snake_case_						:     Optional[int]     =		width - k_size + 1

	# im2col, turn the k_size*k_size pixels into a row and np.vstack all rows
	snake_case_						:     Optional[Any]     =		zeros((dst_height * dst_width, k_size * k_size)				)
	snake_case_						:     Tuple     =		0
	for i, j in product(range(__a				)				,	range(__a				)				):
		snake_case_						:     Optional[int]     =		ravel(image[i : i + k_size, j : j + k_size]				)
		snake_case_						:     str     =		window
		row += 1

	#  turn the kernel into shape(k*k, 1)
	snake_case_						:     List[Any]     =		gen_gaussian_kernel(__a				,	__a				)
	snake_case_						:     str     =		ravel(__a				)

	# reshape and get the dst image
	snake_case_						:     Optional[int]     =		dot(__a				,	__a				).reshape(__a				,	__a				).astype(__a				)

	return dst


if __name__ == "__main__":
						# read original image
						_SCREAMING_SNAKE_CASE 		=						imread(R"""../image_data/lena.jpg""")
						# turn image in gray scale value
						_SCREAMING_SNAKE_CASE 		=						cvtColor(img, COLOR_BGR2GRAY)

						# get values with two different mask size
						_SCREAMING_SNAKE_CASE 		=						gaussian_filter(gray, 3, sigma=1)
						_SCREAMING_SNAKE_CASE 		=						gaussian_filter(gray, 5, sigma=0.8)

						# show result images
						imshow("""gaussian filter with 3x3 mask""", gaussianaxa)
						imshow("""gaussian filter with 5x5 mask""", gaussianaxa)
						waitKey()

