$1.(7$ points$)$ Implement a program that requests three strings from the user. Your

program should concatenate the first two strings in the reverse order and compare

the concatenated string with the third string. If they are equal, your program

should print $$They are equal$,$ otherwise, the program prints $$They are not

equal$.$ A sample run is shown below:

Enter first string: you!

Enter second string: Thank

Enter third string: Thankyou!

They are equal

Enter string $1$: you$2!$

Enter second string: Thank

Enter third string: Thankyou!

They are not equal

$2.(7$ points$)$ Write a Python program that reads in $3$ integers or $4$ integers $($user first determines $3$ or $4$ integers$)$ and displays the following:

a$.$ the average of the numbers $($two decimal places suggested$)$

b$.$ the maximum of the numbers

Do not use Python$$s internal functions for average and maximum.

A sample run is shown below:

Enter set of $3$ integers: $3$

Enter first number: $7$

Enter second number: $10$

Enter third number: $1$

The average of $7,10$ and $1$ is: $6\mathrm{.}0$

The maximum of the three numbers is: $10$

Enter set of $3$ or $4$ integers: $4$

Enter first number: $7$

Enter second number: $10$

Enter third number: $1$

Enter fourth number: $6$

The average of $7,10$ and $1$ is: $6\mathrm{.}0$

The maximum of the three numbers is: $10$

$3.(7$ points$)$ An integer, greater than $1,$ that is only divisible by $1$ and itself is called

a prime number. All other numbers greater than $1$ are called composite numbers.

The integers $0$ and $1$ are neither prime nor composite. Write a python program

that requests a positive integer from the user, determines if it is a prime,

composite or neither prime or composite and prints the message.

Sample runs are shown below:

Enter positive integer: $3$

It is a prime

Enter positive integer: $4$

It is a composite

Enter positive integer: $1$

It is neither prime nor composite

Enter positive integer: $-5$

Error: You did not enter a positive integer

Enter positive integer: $-2\mathrm{.}5$

Error: You did not enter a positive integer

Enter positive integer: Hi

Error: You did not enter a positive integer

$4.(7$ points$)$ Implement a Python function with $3$ arguments called

SimpleInterest$($Principle$,$ Interest, Years$).$ The arguments are:

a$.$ A principle amount $($float$)$

b$.$ Interest Rate $(0$ to $100\%$ as a float$)$

c$.$ Years $($integer$)$

Your function should return the simple interest amount.

The formula for a simple interest is $($Principle$*$InterestRate$*$Years$)/100$

Write your function definition in one cell and the function calling code below it or

in a different cell in Jupyter Notebook.

Your code should ensure that the user input is in the correct type and format

$5.(7$ points$)$ Write a python program for a shopping cart. The program should allow

shopper to enter the product name and price. Use loop so that shopper can enter as

many inputs as necessary and validate the inputs as product name should be string

and price should be more than $$0.$ At the end, the output should

$$ display the total the shopper needs to pay. Use f$-$string to format the total

value for two decimal points and comma.

$$ print the name and price for all the entries with appropriate headings.

$6.(7$ points$)$Rock$-$paper$-$scissors is a hand game that is played by two people. The

players count to three in unison and simultaneously "throw" one of three hand

signals that correspond to rock, paper or scissors. The winner is determined by the

rules:

$$ Rock smashes scissors

$$ Scissors cuts paper

$$ Paper covers rock

Rock$-$paper$-$scissors is a surprisingly popular game that many people play

seriously $($see the Wikipedia article for details$).$

Write a Python program to ask the user$$s choice of Rock paper scissors. The

program then, randomly, chooses a choice for itself $($the computer$)$ and then

compares it with the user$$s choice. The output should show, the user$$s choice, the

program$$s choice and the winner.

Sample runs are shown below:

Enter your choice: rock

Computer chooses scissors

You, the user, win!

Enter your choice: paper

Computer chooses rock

I, the computer, win!

Enter your choice: scissors

Computer chooses scissors

User and computer tie!

Finally, you want to play at least $10$ times. Store and display the computer

choices and user inputs in a pandas dataframe with headings.

$7.(8$ points$)$ Write a program where the user and the program$/$computer play a

number guessing game. The program should prompt the user for a number

$($between $1$ and $100,$ inclusive$)$ then the program$/$computer has to guess what the

user entered. Keep track of the number of iterations it takes for the computer to

guess the number. Sample runs are shown below:

Enter number to be guessed: $88$

You entered $88,$ and it took the program $3$ iterations to guess

Enter number to be guessed: $55$

You entered $55,$ and it took the program $19$ iterations to guess