Write an algorithm, draw corresponding flow chart and write an interactive program which prompts the user with the following options on the opening menu: 1) To accept two integers and check whether they are equal or not 2) To check whether a given number is even or odd 3) To check whether a given number is a positive number or a negative number 4) Quit Enter your choice:Note: Use SWITCH..CASE statement.

Algorithm:

1. Start
2. Display the menu options to the user
3. Accept the user's choice
4. Use a switch case statement to perform the following operations based on the user's choice:
   • Case 1: Accept two integers from the user and check if they are equal or not. If they are equal, print "The numbers are equal". If they are not equal, print "The numbers are not equal".
   • Case 2: Accept a number from the user and check if it is even or odd. If the number is even, print "The number is even". If the number is odd, print "The number is odd".
   • Case 3: Accept a number from the user and check if it is positive or negative. If the number is positive, print "The number is positive". If the number is negative, print "The number is negative".
   • Case 4: Quit the program.
5. If the user enters a choice that is not in the menu, print "Invalid choice".
6. End

Flowchart:

[Start] --> [Display Menu] --> [Accept User Choice] --> |Switch Case Statement| --> [Case 1: Accept two integers, Check if equal, Print result] --> [End] --> [Case 2: Accept number, Check if even or odd, Print result] --> [End] --> [Case 3: Accept number, Check if positive or negative, Print result] --> [End] --> [Case 4: Quit] --> [End] --> [Default: Print "Invalid choice"] --> [End]

Interactive Program (in Python):

while True:
    print("Menu:")
    print("1. Check if two integers are equal")
    print("2. Check if a number is even or odd")
    print("3. Check if a number is positive or negative")
    print("4. Quit")
    choice = int(input("Enter your choice: "))
    
    if choice == 1:
        num1 = int(input("Enter first number: "))
        num2 = int(input("Enter second number: "))
        if num1 == num2:
            print("The numbers are equal")
        else:
            print("The numbers are not equal")
    elif choice == 2:
        num = int(input("Enter a number: "))
        if num % 2 == 0:
            print("The number is even")
        else:
            print("The number is odd")
    elif choice == 3:
        num = int(input("Enter a number: "))
        if num >= 0:
            print("The number is positive")
        else:
            print("The number is negative")
    elif choice == 4:
        break
    else:
        print("Invalid choice")

This program will continue to run and display the menu until the user chooses to quit by entering 4.