





def 			lowerCAmelCase_			(				UpperCamelCase_       ,		UpperCamelCase_       ,		UpperCamelCase_	)  ->		Dict:
       UpperCamelCase_ 							=	index
       UpperCamelCase_ 							=	2 * index + 1
       UpperCamelCase_ 							=	2 * index + 2
       if left_index < heap_size and unsorted[left_index] > unsorted[largest]:
              UpperCamelCase_ 							=	left_index

       if right_index < heap_size and unsorted[right_index] > unsorted[largest]:
              UpperCamelCase_ 							=	right_index

       if largest != index:
              UpperCamelCase_							,			UpperCamelCase_ 							=	unsorted[index], unsorted[largest]
              heapify(UpperCamelCase_       ,		UpperCamelCase_       ,		UpperCamelCase_	)




def 			lowerCAmelCase_			(				UpperCamelCase_	)  ->		List[Any]:
       UpperCamelCase_ 							=	len(UpperCamelCase_	)
       for i in range(n // 2 - 1       ,		-1       ,		-1	):
              heapify(UpperCamelCase_       ,		UpperCamelCase_       ,		UpperCamelCase_	)
       for i in range(n - 1       ,		0       ,		-1	):
              UpperCamelCase_							,			UpperCamelCase_ 							=	unsorted[i], unsorted[0]
              heapify(UpperCamelCase_       ,		0       ,		UpperCamelCase_	)
       return unsorted


if __name__ == "__main__":
     _UpperCAmelCase										=					input('Enter numbers separated by a comma:\n').strip()
     _UpperCAmelCase										=					[int(item) for item in user_input.split(',')]
     print(heap_sort(unsorted))




"""simple docstring"""





import numpy as np
from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey

from digital_image_processing.filters.convolve import img_convolve




def     _A    (    UpperCamelCase_	:			int)      ->		str:
   '''simple docstring'''


   __lowercase								=		np.array([[-1, 0, 1], [-2, 0, 2], [-1, 0, 1]])
   __lowercase								=		np.array([[1, 2, 1], [0, 0, 0], [-1, -2, -1]])

   __lowercase								=		np.abs(img_convolve(UpperCamelCase_,     UpperCamelCase_))
   __lowercase								=		np.abs(img_convolve(UpperCamelCase_,     UpperCamelCase_))
   # modify the pix within [0, 255]
   __lowercase								=		dst_x * 255 / np.max(UpperCamelCase_)
   __lowercase								=		dst_y * 255 / np.max(UpperCamelCase_)

   __lowercase								=		np.sqrt((np.square(UpperCamelCase_)) + (np.square(UpperCamelCase_)))
   __lowercase								=		dst_xy * 255 / np.max(UpperCamelCase_)
   __lowercase								=		dst_xy.astype(np.uinta)

   __lowercase								=		np.arctana(UpperCamelCase_,     UpperCamelCase_)
   return dst, theta


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

   _a ,		_a					 =				sobel_filter(gray)

   # show result images
   imshow('sobel filter', sobel_grad)
   imshow('sobel theta', sobel_theta)
   waitKey(0)




