Create the logic for a program that continuously prompts a user for a numeric value until the user enters 0. The application passes the value in turn to a method that squares the number and to a method that cubes the number. The program displays the results before reprompting the user. Create the two methods that square and cube a number passed to them, and then return the calculated value.

#include <iostream.h>

#include <conio.h>

void main()
{
clrscr();
int x = 10;
int y = 2;
int sum, difference, product, quotient;
sum = x + y;
difference = x - y;
product = x * y;
quotient = x / y;
cout << "The sum of " << x << " & " << y << " is " << sum << "." << endl;
cout << "The difference of " << x << " & " << "y << is " << difference << "." << endl;
cout << "The product of " << x << " & " << y << " is " << product << "." << endl;
cout << "The quotient of " << x << " & " << y << " is " << quotient << "." << endl;
getch();
}

To create the logic for this program, you will need to follow these steps:

1. Define the two methods: square and cube. These methods will take a number as input and return the calculated value.

2. Create a loop that continues until the user enters 0. Within the loop, prompt the user for a numeric value.

3. Parse the user input to ensure it is a valid numeric value.

4. If the user input is not 0, call the square method with the user input value and store the result.

5. Call the cube method with the user input value and store the result.

6. Display the results of squaring and cubing the number.

7. Repeat the loop until the user enters 0.

Here is the code implementation:

```python
def square(num):
return num * num

def cube(num):
return num * num * num

while True:
user_input = input("Enter a numeric value (or 0 to exit): ")

if user_input == "0":
break

try:
number = float(user_input)
except ValueError:
print("Invalid input. Please enter a numeric value.")
continue

squared = square(number)
cubed = cube(number)

print("Squared value:", squared)
print("Cubed value:", cubed)
```

This program defines two methods, `square()` and `cube()`, which calculate the square and cube of a given number. It then enters an infinite loop that prompts the user for a numeric value. The loop checks if the input is `0` and breaks out of the loop if so. If the user enters a non-numeric value, an error message is displayed, and the loop continues prompting for a valid input. If a valid numeric value is entered, the square and cube of the number are calculated using the respective methods, and the results are displayed. The loop continues until the user enters `0`.