Write a python code to generate following output:

a$)$ GENERATE $5000$ RANDOM and unique numbers in separate text file AND SORT THEM

b$)$ Your code should Generate a RANDOM NUMBER and find out where does this generated number lies between in generated text file

Find out the time it takes to generate a random number in question b$)$

Example : If txt file has these numbers $6356,6360$ serially $,$ if your generated number is $6357,$ it should says $6357$ lies between $6356$ and $6360$ in txt file.

Please make sure your code should not generate random number like this $(2421$ lies between $2419$ and $2421$ in the file.$).$ The number should be unique $,$ it should not itself include the number

Please modify the below code:

import random

import time

import bisect

# a$)$ Generate $5000$ unique random numbers and write them to a sorted text file

def generate$\_$unique$\_$random$\_$numbers$($filename$,$ num$\_$numbers$)$:

with open$($filename$,"$w$")$ as file:

unique$\_$numbers $=$ set$()$

while len$($unique$\_$numbers$)<$ num$\_$numbers:

unique$\_$numbers.add$($random$.$randint$(1,10000))$ # Adjust range as needed

sorted$\_$numbers $=$ sorted$($unique$\_$numbers$)$

file.writelines$($str$($num$)+"$

$"$ for num in sorted$\_$numbers$)$

# b$)$ Generate a random number and find its position in the text file

start$\_$time $=$ time.time$()$

def find$\_$random$\_$number$\_$position$($filename$)$:

with open$($filename$,"$r$")$ as file:

numbers $=[$int$($line$.$strip$())$ for line in file$]$

#start$\_$time $=$ time.time$()$

random$\_$number $=$ random.randint$(1,10000)$ # Adjust range to match file

#end$\_$time $=$ time.time$()$

# generation$\_$time $=$ end$\_$time $-$ start$\_$time

index $=$ bisect.bisect$\_$left$($numbers$,$ random$\_$number$)$

if index $==0$:

print$($f$"\{$random$\_$number$\}$ is less than or equal to the first number in the file: $\{$numbers$[0]\}")$

elif index $==$ len$($numbers$)$:

print$($f$"\{$random$\_$number$\}$ is greater than or equal to the last number in the file: $\{$numbers$[-1]\}")$

else:

print$($f$"\{$random$\_$number$\}$ lies between $\{$numbers$[$index $-1]\}$ and $\{$numbers$[$index$]\}$ in the file."$)$

end$\_$time $=$ time.time$()$

generation$\_$time $=($end$\_$time $-$ start$\_$time$)*1000$

print$($f$"$Time taken to generate random number: $\{$generation$\_$time:$\mathrm{.}6$f$\}$ milliseconds"$)$

# Example usage

filename $=$ "random$\_$numbers.txt$"$

generate$\_$unique$\_$random$\_$numbers$($filename$,5000)$

find$\_$random$\_$number$\_$position$($filename$)$