


import random
import sys

import numpy as np
from matplotlib import pyplot as plt
from matplotlib.colors import ListedColormap

lowerCAmelCase	=							'Usage of script: script_name <size_of_canvas:int>'

lowerCAmelCase	=							[0] * 100 + [1] * 10
random.shuffle(choice)
def       _a			(				SCREAMING_SNAKE_CASE					):


  """simple docstring"""




  lowercase__						=				[[False for i in range(SCREAMING_SNAKE_CASE					)] for j in range(SCREAMING_SNAKE_CASE					)]
  return canvas
def       _a			(				SCREAMING_SNAKE_CASE					):


  """simple docstring"""




  for i, row in enumerate(SCREAMING_SNAKE_CASE					):
    for j, _ in enumerate(SCREAMING_SNAKE_CASE					):
      lowercase__						=				bool(random.getrandbits(1					)					)
def       _a			(				SCREAMING_SNAKE_CASE					):


  """simple docstring"""




  lowercase__						=				np.array(SCREAMING_SNAKE_CASE					)
  lowercase__						=				np.array(create_canvas(current_canvas.shape[0]					)					)
  for r, row in enumerate(SCREAMING_SNAKE_CASE					):
    for c, pt in enumerate(SCREAMING_SNAKE_CASE					):
      lowercase__						=				__judge_point(
          SCREAMING_SNAKE_CASE						,    current_canvas[r - 1 : r + 2, c - 1 : c + 2]					)

  lowercase__						=				next_gen_canvas
  del next_gen_canvas  # cleaning memory as we move on.
  lowercase__						=				current_canvas.tolist()
  return return_canvas
def       _a			(				SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE					):


  """simple docstring"""




  lowercase__						=				0
  lowercase__						=				0
  # finding dead or alive neighbours count.
  for i in neighbours:
    for status in i:
      if status:
        alive += 1
      else:
        dead += 1

    # handling duplicate entry for focus pt.
  if pt:
    alive -= 1
  else:
    dead -= 1

  # running the rules of game here.
  lowercase__						=				pt
  if pt:
    if alive < 2:
      lowercase__						=				False
    elif alive == 2 or alive == 3:
      lowercase__						=				True
    elif alive > 3:
      lowercase__						=				False
  else:
    if alive == 3:
      lowercase__						=				True

  return state


if __name__ == "__main__":
   if len(sys.argv) != 2:
      raise Exception(usage_doc)

   lowerCAmelCase	=							int(sys.argv[1])
   # main working structure of this module.
   lowerCAmelCase	=							create_canvas(canvas_size)
   seed(c)
   lowerCAmelCase,						lowerCAmelCase	=							plt.subplots()
   fig.show()
   lowerCAmelCase	=							ListedColormap(['w', 'k'])
   try:
      while True:
         lowerCAmelCase	=							run(c)
         ax.matshow(c, cmap=cmap)
         fig.canvas.draw()
         ax.cla()
   except KeyboardInterrupt:
      # do nothing.
      pass






from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass


@dataclass
class 	_a							:
							_lowercase     :      int
							_lowercase     :      TreeNode | None  				=			None
							_lowercase     :      TreeNode | None  				=			None
lowerCAmelCase	=							namedtuple('CoinsDistribResult', 'moves excess')
def       _a			(				SCREAMING_SNAKE_CASE					):


		"""simple docstring"""




		if root is None:
				return 0

		# Validation
		def count_nodes(SCREAMING_SNAKE_CASE					) -> int:
				if node is None:
						return 0

				return count_nodes(node.left					) + count_nodes(node.right					) + 1

		def count_coins(SCREAMING_SNAKE_CASE					) -> int:
				if node is None:
						return 0

				return count_coins(node.left					) + count_coins(node.right					) + node.data

		if count_nodes(SCREAMING_SNAKE_CASE					) != count_coins(SCREAMING_SNAKE_CASE					):
				raise ValueError('''The nodes number should be same as the number of coins'''					)

		# Main calculation
		def get_distrib(SCREAMING_SNAKE_CASE					) -> CoinsDistribResult:

				if node is None:
						return CoinsDistribResult(0						,    1					)

				lowercase__					,		lowercase__						=				get_distrib(node.left					)
				lowercase__					,		lowercase__						=				get_distrib(node.right					)

				lowercase__						=				1 - left_distrib_excess
				lowercase__						=				1 - right_distrib_excess

				lowercase__						=				(
				    left_distrib_moves
				    + right_distrib_moves
				    + abs(SCREAMING_SNAKE_CASE					)
				    + abs(SCREAMING_SNAKE_CASE					)
				)
				lowercase__						=				node.data - coins_to_left - coins_to_right

				return CoinsDistribResult(SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE					)

		return get_distrib(SCREAMING_SNAKE_CASE					)[0]


if __name__ == "__main__":
			import doctest

			doctest.testmod()


