





'''simple docstring'''

import numpy as np
from cva import destroyAllWindows, imread, imshow, waitKey





class lowerCamelCase    :







  def __init__(		self  ,  lowercase__  ,  lowercase__		)		->    Dict:






        """simple docstring"""





        _snake_case		:						List[str]         =  0
        # max greyscale value for #FFFFFF
        _snake_case		:						List[str]         =  int(self.get_greyscale(255  ,  255  ,  255		)		)

        if not self.min_threshold < threshold < self.max_threshold:
              _snake_case		:						str         =  F'''Factor value should be from 0 to {self.max_threshold}'''
              raise ValueError(lowercase__		)

        _snake_case		:						List[str]         =  input_img
        _snake_case		:						int         =  threshold
        _snake_case  ,				_snake_case		:						Union[str, Any]         =  self.input_img.shape[1], self.input_img.shape[0]

        # error table size (+4 columns and +1 row) greater than input image because of
        # lack of if statements
        _snake_case		:						List[Any]         =  [
            [0 for _ in range(self.height + 4		)] for __ in range(self.width + 1		)
        ]
        _snake_case		:						Tuple         =  np.ones((self.width, self.height, 3)  ,  np.uinta		) * 255







  @classmethod
  def 					UpperCAmelCase_					(		cls  ,  lowercase__  ,  lowercase__  ,  lowercase__		)		->    float:






        """simple docstring"""





        return 0.114 * blue + 0.587 * green + 0.2_126 * red







  def 					UpperCAmelCase_					(		self		)		->    None:






        """simple docstring"""





        for y in range(self.height		):
              for x in range(self.width		):
                    _snake_case		:						List[Any]         =  int(self.get_greyscale(*self.input_img[y][x]		)		)
                    if self.threshold > greyscale + self.error_table[y][x]:
                          _snake_case		:						Tuple         =  (0, 0, 0)
                          _snake_case		:						Optional[int]         =  greyscale + self.error_table[x][y]
                    else:
                          _snake_case		:						Optional[Any]         =  (255, 255, 255)
                          _snake_case		:						Dict         =  greyscale + self.error_table[x][y] - 255
                    self.error_table[y][x + 1] += int(8 / 32 * current_error		)
                    self.error_table[y][x + 2] += int(4 / 32 * current_error		)
                    self.error_table[y + 1][x] += int(8 / 32 * current_error		)
                    self.error_table[y + 1][x + 1] += int(4 / 32 * current_error		)
                    self.error_table[y + 1][x + 2] += int(2 / 32 * current_error		)
                    self.error_table[y + 1][x - 1] += int(4 / 32 * current_error		)
                    self.error_table[y + 1][x - 2] += int(2 / 32 * current_error		)


if __name__ == "__main__":
   # create Burke's instances with original images in greyscale
   UpperCAmelCase       :		Union[str, Any]		=				[
       Burkes(imread('image_data/lena.jpg', 1), threshold)
       for threshold in (1, 1_2_6, 1_3_0, 1_4_0)
   ]

   for burkes in burkes_instances:
      burkes.process()

   for burkes in burkes_instances:
      imshow(
          F"""Original image with dithering threshold: {burkes.threshold}""",
          burkes.output_img,
      )

   waitKey(0)
   destroyAllWindows()









'''simple docstring'''

from __future__ import annotations

import random

# Adjacency list representation of this graph:
# https://en.wikipedia.org/wiki/File:Single_run_of_Karger%E2%80%99s_Mincut_algorithm.svg
UpperCAmelCase       :		List[Any]		=				{
    '1': ['2', '3', '4', '5'],
    '2': ['1', '3', '4', '5'],
    '3': ['1', '2', '4', '5', '10'],
    '4': ['1', '2', '3', '5', '6'],
    '5': ['1', '2', '3', '4', '7'],
    '6': ['7', '8', '9', '10', '4'],
    '7': ['6', '8', '9', '10', '5'],
    '8': ['6', '7', '9', '10'],
    '9': ['6', '7', '8', '10'],
    '10': ['6', '7', '8', '9', '3'],
}




def  _a     (				lowerCAmelCase_						):





      """simple docstring"""



      _snake_case		:						Dict         =  {node: {node} for node in graph}

      _snake_case		:						str         =  {node: graph[node][:] for node in graph}

      while len(lowerCAmelCase_						) > 2:
            # Choose a random edge.
            _snake_case		:						Optional[Any]         =  random.choice(list(graph_copy.keys()						)						)
            _snake_case		:						Union[str, Any]         =  random.choice(graph_copy[u]						)

            # Contract edge (u, v) to new node uv
            _snake_case		:						List[str]         =  u + v
            _snake_case		:						List[str]         =  list(set(graph_copy[u] + graph_copy[v]						)						)
            uv_neighbors.remove(lowerCAmelCase_						)
            uv_neighbors.remove(lowerCAmelCase_						)
            _snake_case		:						Tuple         =  uv_neighbors
            for neighbor in uv_neighbors:
                  graph_copy[neighbor].append(lowerCAmelCase_						)

            _snake_case		:						Tuple         =  set(contracted_nodes[u].union(contracted_nodes[v]						)						)

            # Remove nodes u and v.
            del graph_copy[u]
            del graph_copy[v]
            for neighbor in uv_neighbors:
                  if u in graph_copy[neighbor]:
                        graph_copy[neighbor].remove(lowerCAmelCase_						)
                  if v in graph_copy[neighbor]:
                        graph_copy[neighbor].remove(lowerCAmelCase_						)

    # Find cutset.
      _snake_case		:						Any         =  [contracted_nodes[node] for node in graph_copy]
      return {
          (node, neighbor)
          for node in groups[0]
          for neighbor in graph[node]
          if neighbor in groups[1]
      }


if __name__ == "__main__":
   print(partition_graph(TEST_GRAPH))


