$1.$ Given the following program, $($a$)$ how many processes will be created and what is the running result? Explain how the processes are executed to print the result. $($b$)$ if the chunksize is set to $4$ in line $17,$ what will be the program running result? Explain how the processes are created to print the result. $($c$)$ if the setting chunksize $\backslash (=6\backslash )$ is removed from line $17,$ how many processes will be created? $($d$)$ if line $11$ is removed, how many processes will be created by the program and what is the result? Explain the reason $($NOTE: you may need to run the program several times to notice the program result change$).($e$)$ if the max$\_$workers parameter is changed from $10$ to $2$ in line $15,$ and the chunksize is set to $4$ in line $17,$ what will be the program running result? Explain how the processes are created to print the result. $($f$)$ if the ProcessPoolExecutor is changed to ThreadPoolExecutor in line $5$ and line $15,$ how many processes will be created?

$```$

import time

import math

import os

import numpy as np

from concurrent.futures import ProcessPoolExecutor

def func$($value$)$:

result $=$ math.sqrt$($value$)$

pid $=$ os$.$getpid$()$

print$("[$Pid:$\%$s$]$ The value $\%$s and the root is $\%$s$"\%($pid$,$ value, result$))$

time.sleep$($value$)$

return result

if $\_\_$name$\_\_==\text{'}\_\_$main$\_\_\text{'}$:

with ProcessPoolexecutor$(10)$ as executor:

data $=$ np$.$array$([10,3,6,1,4,5,2,9,7,3,4,6])$

executor.map$($func$,$ data, chunksize$=6)$

print$("$END Program"$)$

$```$