



'''simple docstring'''






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 				snake_case_  (      _lowerCAmelCase						:		Tuple     ,   _lowerCAmelCase						:		Optional[Any]						)   ->     Union[str, Any]:
							UpperCAmelCase				: List[str]											=	k_size // 2
							UpperCAmelCase							,	UpperCAmelCase				: int											=	mgrid[0 - center : k_size - center, 0 - center : k_size - center]
							UpperCAmelCase				: List[Any]											=	1 / (2 * pi * sigma) * exp(-(square(_lowerCAmelCase						) + square(_lowerCAmelCase						)) / (2 * square(_lowerCAmelCase						))						)
							return g


def 				snake_case_  (      _lowerCAmelCase						:		Any     ,   _lowerCAmelCase						:		Optional[Any]     ,   _lowerCAmelCase						:		Union[str, Any]						)   ->     Tuple:
							UpperCAmelCase							,	UpperCAmelCase				: Dict											=	image.shape[0], image.shape[1]
							# dst image height and width
							UpperCAmelCase				: Any											=	height - k_size + 1
							UpperCAmelCase				: List[Any]											=	width - k_size + 1

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

							#  turn the kernel into shape(k*k, 1)
							UpperCAmelCase				: List[Any]											=	gen_gaussian_kernel(_lowerCAmelCase     ,   _lowerCAmelCase						)
							UpperCAmelCase				: Optional[Any]											=	ravel(_lowerCAmelCase						)

							# reshape and get the dst image
							UpperCAmelCase				: Any											=	dot(_lowerCAmelCase     ,   _lowerCAmelCase						).reshape(_lowerCAmelCase     ,   _lowerCAmelCase						).astype(_lowerCAmelCase						)

							return dst


if __name__ == "__main__":
						# read original image
						UpperCamelCase__:     List[str]										=    imread(r"../image_data/lena.jpg")
						# turn image in gray scale value
						UpperCamelCase__:     List[str]										=    cvtColor(img, COLOR_BGR2GRAY)

						# get values with two different mask size
						UpperCamelCase__:     Dict										=    gaussian_filter(gray, 3, sigma=1)
						UpperCamelCase__:     List[Any]										=    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()










'''simple docstring'''






def 				snake_case_  (      _lowerCAmelCase						:		Tuple     ,   _lowerCAmelCase						:		Tuple     ,   _lowerCAmelCase						:		int     ,   _lowerCAmelCase						:		Tuple						)   ->     Union[str, Any]:
							# Return True if there is node that has not iterated.
							UpperCAmelCase				: Optional[Any]											=	[False] * len(_lowerCAmelCase						)
							UpperCAmelCase				: Dict											=	[]
							queue.append(_lowerCAmelCase						)
							UpperCAmelCase				: str											=	True

							while queue:
														UpperCAmelCase				: Optional[int]											=	queue.pop(0						)
														for ind in range(len(graph[u]						)						):
																					if visited[ind] is False and graph[u][ind] > 0:
																												queue.append(_lowerCAmelCase						)
																												UpperCAmelCase				: Union[str, Any]											=	True
																												UpperCAmelCase				: Optional[int]											=	u

							return visited[t]


def 				snake_case_  (      _lowerCAmelCase						:		Union[str, Any]     ,   _lowerCAmelCase						:		List[str]     ,   _lowerCAmelCase						:		List[str]						)   ->     Any:
							# This array is filled by BFS and to store path
							UpperCAmelCase				: Dict											=	[-1] * (len(_lowerCAmelCase						))
							UpperCAmelCase				: Any											=	0
							while bfs(_lowerCAmelCase     ,   _lowerCAmelCase     ,   _lowerCAmelCase     ,   _lowerCAmelCase						):
														UpperCAmelCase				: List[str]											=	float('''Inf'''						)
														UpperCAmelCase				: str											=	sink

														while s != source:
																					# Find the minimum value in select path
																					UpperCAmelCase				: int											=	min(_lowerCAmelCase     ,   graph[parent[s]][s]						)
																					UpperCAmelCase				: Tuple											=	parent[s]

														max_flow += path_flow
														UpperCAmelCase				: Optional[Any]											=	sink

														while v != source:
																					UpperCAmelCase				: Dict											=	parent[v]
																					graph[u][v] -= path_flow
																					graph[v][u] += path_flow
																					UpperCAmelCase				: Dict											=	parent[v]
							return max_flow


UpperCamelCase__:     Tuple										=    [
    [0, 16, 13, 0, 0, 0],
    [0, 0, 10, 12, 0, 0],
    [0, 4, 0, 0, 14, 0],
    [0, 0, 9, 0, 0, 20],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]

UpperCamelCase__			,      UpperCamelCase__:     int										=    0, 5




print(ford_fulkerson(graph, source, sink))





