(GREATEST COMMON DIVISOR) The greatest common divisor of integers x and y is the largest integer that evenly divides into both x and y. Write and test a recursive function gcd that returns the greatest common divisor of x and y. The gcd of x and y is defined recursively as follows: If y is equal to 0, then gcd (x, y) is x; otherwise, gcd (x, y) is gcd (y, x % y), where % is the remainder operator.

(Format an integer) Write a function with the following header to format the inte- ger with the specified width. def format(number, width): The function returns a string for the number with prefix 0s. The size of the string is the width. For example, format(34, 4) returns "0034" and format(34, 5) returns "00034". If the number is longer than the width, the function returns the string representation for the number. For example, format(34, 1) returns "34". Write a test program that prompts the user to enter a number and its width and dis- plays a string returned from invoking format(number, width). Here is a sample run:

Don't give me AI generated answer or plagiarised answer.

(ABET 2) Construct a regular expression corresponding to the following set: {binary strings such that every odd position is a 1}. You may assume that the even positions can be a 0 or 1.

(Perfect Numbers) An integer is said to be a perfect number if the sum of its divisors, including 1 (but not the number itself), is equal to the number. For example, 6 is a perfect number, because   6=1+2+3. Write a functionisPerfect that determines whether parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000. Print the divisors of each perfect number to confirm that the number is indeed perfect. Challenge the power of your computer by testing numbers much larger than 1000.

(Rounding Numbers) Function floor can be used to round a number to a specific decimal place. The statementy = floor(x * 10 + 0.5) / 10;rounds x to the tenths position (the first position to the right of the decimal point). The statementy                                        = floor(x * 100 + 0.5) / 100;rounds x to the hundredths position (the second position to the right of the decimal point). Write a program that defines fourfunctions to round a number x in various ways:A. roundToInteger(number)B. roundToTenths(number)C. roundToHundredths(number)D. roundToThousandths(number)For each value read, your program should print the original value, the number rounded to the nearest integer, the number rounded to the nearest tenth, the number rounded to the nearest hundredth and the number rounded to the nearest thousandth.

(Python matplotlib or seaborn) CPU Usage We have the hourly average CPU usage for a worker's computer over the course of a week. Each row of data represents a day of the week starting with Monday. Each column of data is an hour in the day starting with 0 being midnight. Create a chart that shows the CPU usage over the week. You should be able to answer the following questions using the chart: When does the worker typically take lunch? Did the worker do work on the weekend? On which weekday did the worker start working on their computer at the latest hour?   cpu_usage = [ [2, 2, 4, 2, 4, 1, 1, 4, 4, 12, 22, 23, 45, 9, 33, 56, 23, 40, 21, 6, 6, 2, 2, 3], # Monday [1, 2, 3, 2, 3, 2, 3, 2, 7, 22, 45, 44, 33, 9, 23, 19, 33, 56, 12, 2, 3, 1, 2, 2], # Tuesday [2, 3, 1, 2, 4, 4, 2, 2, 1, 2, 5, 31, 54, 7, 6, 34, 68, 34, 49, 6, 6, 2, 2, 3], # Wednesday [1, 2, 3, 2, 4, 1, 2, 4, 1, 17, 24, 18, 41, 3, 44, 42, 12, 36, 41, 2, 2, 4, 2, 4], # Thursday [4, 1, 2, 2, 3, 2, 5, 1, 2, 12, 33, 27, 43, 8,…

(Square of Asterisks) Write a function that displays a solid square of asterisks whose side isspecified in integer parameter side. For example, if side is 4, the function displays:  **** **** **** ****

(Q1)This is a Data Structures problem and the programming language used is Lisp. Solve the question we detailed steps and make it concise and easy to understand. Please and thank you.