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import numpy as np, matplotlib.pyplot as plt import time from numpy.random import random as rnd from multiprocessing import Pool from matplotlib import animation import copy

arraySize = 100 Z = np.array([[randint(0, 1) for x in range(arraySize)] for y in range(arraySize)])

def computeNeighbours(Z): rows, cols = len(Z), len(Z[0]) N = np.zeros(np.shape(Z))

for x in range(rows): for y in range(cols): Q = [q for q in [x-1, x, x+1] if ((q >= 0) and (q < cols))] R = [r for r in [y-1, y, y+1] if ((r >= 0) and (r < rows))] S = [Z[q][r] for q in Q for r in R if (q, r) != (x, y)] N[x][y] = sum(S)

return N

def iterate(Z): Zprime = Z.copy() rows, cols = len(Zprime), len(Zprime[0]) N = computeNeighbours(Zprime)

for x in range(rows): for y in range(cols): if Zprime[x][y] == 1: if (N[x][y] < 2) or (N[x][y] > 3): Zprime[x][y] = 0 else: if (N[x][y] == 3): Zprime[x][y] = 1

return Zprime

fig = plt.figure()

Zs = [Z] ims = []

for i in range(0, 100): im = plt.imshow(Zs[len(Zs)-1], interpolation = 'nearest', cmap='binary') ims.append([im]) Zs.append(iterate(Zs[len(Zs)-1]))

ani = animation.ArtistAnimation(fig, ims, interval=250, blit=True) plt.show()

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Attached is python code for game of life.

Q. Create the plot of speed vs. number of processors when we incorporate parallel processing into the code. Please attach your code to create this plot.