

class        A_		:
							def __init__(		self		:			Optional[Any]   ,SCREAMING_SNAKE_CASE__		:			Tuple   ,SCREAMING_SNAKE_CASE__		:			Any):
								__lowerCamelCase				:				Union[str, Any]					       = name
								__lowerCamelCase				:				Optional[int]					       = val
							def __str__(		self		:			str):
								return F"{self.__class__.__name__}({self.name}, {self.val})"


							def __lt__(		self		:			str   ,SCREAMING_SNAKE_CASE__		:			List[str]):
								return self.val < other.val






class        A_		:
							def __init__(		self		:			List[Any]   ,SCREAMING_SNAKE_CASE__		:			Optional[int]):
								__lowerCamelCase				:				Optional[Any]					       = {}
								__lowerCamelCase				:				Union[str, Any]					       = {}
								__lowerCamelCase				:				Any					       = self.build_heap(SCREAMING_SNAKE_CASE__)
							def __getitem__(		self		:			Union[str, Any]   ,SCREAMING_SNAKE_CASE__		:			str):
								return self.get_value(SCREAMING_SNAKE_CASE__)
							def     lowerCAmelCase     (		self		:			Tuple   ,SCREAMING_SNAKE_CASE__		:			Dict):
								return (idx - 1) // 2
							def     lowerCAmelCase     (		self		:			Union[str, Any]   ,SCREAMING_SNAKE_CASE__		:			List[Any]):
								return idx * 2 + 1
							def     lowerCAmelCase     (		self		:			Tuple   ,SCREAMING_SNAKE_CASE__		:			List[str]):
								return idx * 2 + 2
							def     lowerCAmelCase     (		self		:			Tuple   ,SCREAMING_SNAKE_CASE__		:			Tuple):
								return self.heap_dict[key]
							def     lowerCAmelCase     (		self		:			Union[str, Any]   ,SCREAMING_SNAKE_CASE__		:			Tuple):
								__lowerCamelCase				:				Optional[Any]					       = len(SCREAMING_SNAKE_CASE__) - 1
								__lowerCamelCase				:				Any					       = self.get_parent_idx(SCREAMING_SNAKE_CASE__)

								for idx, i in enumerate(SCREAMING_SNAKE_CASE__):
									__lowerCamelCase				:				Tuple					       = idx
									__lowerCamelCase				:				Optional[Any]					       = i.val

								for i in range(SCREAMING_SNAKE_CASE__   ,-1   ,-1):
									self.sift_down(SCREAMING_SNAKE_CASE__   ,SCREAMING_SNAKE_CASE__)
								return array
							def     lowerCAmelCase     (		self		:			Tuple   ,SCREAMING_SNAKE_CASE__		:			Optional[int]   ,SCREAMING_SNAKE_CASE__		:			Any):
								while True:
									__lowerCamelCase				:				str					       = self.get_left_child_idx(SCREAMING_SNAKE_CASE__)  # noqa: E741
									__lowerCamelCase				:				List[str]					       = self.get_right_child_idx(SCREAMING_SNAKE_CASE__)

									__lowerCamelCase				:				str					       = idx
									if l < len(SCREAMING_SNAKE_CASE__) and array[l] < array[idx]:
										__lowerCamelCase				:				Optional[Any]					       = l
									if r < len(SCREAMING_SNAKE_CASE__) and array[r] < array[smallest]:
										__lowerCamelCase				:				List[str]					       = r

									if smallest != idx:
										__lowerCamelCase       , __lowerCamelCase				:				Union[str, Any]					       = array[smallest], array[idx]
										(
										    (
										    __lowerCamelCase
										)       , (
										    __lowerCamelCase
										)       , 
										)				:				int					       = (
										    self.idx_of_element[array[smallest]],
										    self.idx_of_element[array[idx]],
										)
										__lowerCamelCase				:				Optional[int]					       = smallest
									else:
										break
							def     lowerCAmelCase     (		self		:			str   ,SCREAMING_SNAKE_CASE__		:			List[Any]):
								__lowerCamelCase				:				Optional[Any]					       = self.get_parent_idx(SCREAMING_SNAKE_CASE__)
								while p >= 0 and self.heap[p] > self.heap[idx]:
									__lowerCamelCase       , __lowerCamelCase				:				int					       = self.heap[idx], self.heap[p]
									__lowerCamelCase       , __lowerCamelCase				:				Union[str, Any]					       = (
									    self.idx_of_element[self.heap[idx]],
									    self.idx_of_element[self.heap[p]],
									)
									__lowerCamelCase				:				str					       = p
									__lowerCamelCase				:				int					       = self.get_parent_idx(SCREAMING_SNAKE_CASE__)
							def     lowerCAmelCase     (		self		:			List[str]):
								return self.heap[0]
							def     lowerCAmelCase     (		self		:			int):
								__lowerCamelCase       , __lowerCamelCase				:				Tuple					       = self.heap[-1], self.heap[0]
								__lowerCamelCase       , __lowerCamelCase				:				Tuple					       = (
								    self.idx_of_element[self.heap[-1]],
								    self.idx_of_element[self.heap[0]],
								)

								__lowerCamelCase				:				Optional[Any]					       = self.heap.pop()
								del self.idx_of_element[x]
								self.sift_down(0   ,self.heap)
								return x
							def     lowerCAmelCase     (		self		:			str   ,SCREAMING_SNAKE_CASE__		:			Union[str, Any]):
								self.heap.append(SCREAMING_SNAKE_CASE__)
								__lowerCamelCase				:				Optional[int]					       = len(self.heap) - 1
								__lowerCamelCase				:				str					       = node.val
								self.sift_up(len(self.heap) - 1)
							def     lowerCAmelCase     (		self		:			Optional[int]):
								return len(self.heap) == 0


							def     lowerCAmelCase     (		self		:			int   ,SCREAMING_SNAKE_CASE__		:			str   ,SCREAMING_SNAKE_CASE__		:			List[Any]):
								assert (
								    self.heap[self.idx_of_element[node]].val > new_value
								), "newValue must be less that current value"
								__lowerCamelCase				:				List[str]					       = new_value
								__lowerCamelCase				:				Dict					       = new_value
								self.sift_up(self.idx_of_element[node])
a		=Node("""R""", -1)
a		=Node("""B""", 6)
a		=Node("""A""", 3)
a		=Node("""X""", 1)
a		=Node("""E""", 4)

# Use one of these two ways to generate Min-Heap

# Generating Min-Heap from array
a		=MinHeap([r, b, a, x, e])

# Generating Min-Heap by Insert method
# myMinHeap.insert(a)
# myMinHeap.insert(b)
# myMinHeap.insert(x)
# myMinHeap.insert(r)
# myMinHeap.insert(e)

# Before
print("""Min Heap - before decrease key""")
for i in my_min_heap.heap:
					print(i)

print("""Min Heap - After decrease key of node [B -> -17]""")
my_min_heap.decrease_key(b, -17)

# After
for i in my_min_heap.heap:
					print(i)

if __name__ == "__main__":
					import doctest

					doctest.testmod()





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





def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       Dict			,_lowerCamelCase						:       int			,_lowerCamelCase						:       int	)       ->      Dict:
  _lowerCAmelCase			,	_lowerCAmelCase						:       str  			=     image.shape[0], image.shape[1]
  # dst image height and width
  _lowerCAmelCase						:       Optional[int]  			=     height - k_size + 1
  _lowerCAmelCase						:       Dict  			=     width - k_size + 1

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

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

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

  return dst


if __name__ == "__main__":
     # read original image
     _a      :		Optional[Any]           =   imread(r'../image_data/lena.jpg')
     # turn image in gray scale value
     _a      :		Dict           =   cvtColor(img, COLOR_BGR2GRAY)

     # get values with two different mask size
     _a      :		Union[str, Any]           =   gaussian_filter(gray, 3, sigma=1)
     _a      :		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()




