



"""simple docstring"""





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__      ( lowerCAmelCase__ ):
      UpperCAmelCase_     					=				[[False for i in range(lowerCAmelCase__ )] for j in range(lowerCAmelCase__ )]
      return canvas
def   a__      ( lowerCAmelCase__ ):
      for i, row in enumerate(lowerCAmelCase__ ):
            for j, _ in enumerate(lowerCAmelCase__ ):
                  UpperCAmelCase_     					=				bool(random.getrandbits(1 ) )
def   a__      ( lowerCAmelCase__ ):
      UpperCAmelCase_     					=				np.array(lowerCAmelCase__ )
      UpperCAmelCase_     					=				np.array(create_canvas(current_canvas.shape[0] ) )
      for r, row in enumerate(lowerCAmelCase__ ):
            for c, pt in enumerate(lowerCAmelCase__ ):
                  UpperCAmelCase_     					=				__judge_point(
                      lowerCAmelCase__      ,     current_canvas[r - 1 : r + 2, c - 1 : c + 2] )

      UpperCAmelCase_     					=				next_gen_canvas
      del next_gen_canvas  # cleaning memory as we move on.
      UpperCAmelCase_     					=				current_canvas.tolist()
      return return_canvas
def   a__      ( lowerCAmelCase__      ,     lowerCAmelCase__ ):
      UpperCAmelCase_     					=				0
      UpperCAmelCase_     					=				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.
      UpperCAmelCase_     					=				pt
      if pt:
            if alive < 2:
                  UpperCAmelCase_     					=				False
            elif alive == 2 or alive == 3:
                  UpperCAmelCase_     					=				True
            elif alive > 3:
                  UpperCAmelCase_     					=				False
      else:
            if alive == 3:
                  UpperCAmelCase_     					=				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










def 		lowerCamelCase__       (						):







	'''simple docstring'''





	for n in range(1	,      1000000				):
		yield n * (n + 1) // 2


def 		lowerCamelCase__       (						_A				):







	'''simple docstring'''





	snake_case_						       =	1
	snake_case_						       =	2
	while i * i <= n:
		snake_case_						       =	0
		while n % i == 0:
			n //= i
			multiplicity += 1
		divisors_count *= multiplicity + 1
		i += 1
	if n > 1:
		divisors_count *= 2
	return divisors_count


def 		lowerCamelCase__       (						):







	'''simple docstring'''





	return next(i for i in triangle_number_generator() if count_divisors(_A				) > 500				)


if __name__ == "__main__":
		print(solution())
