Problem Description: In the Mystical Library of Potions, each elixir is encoded with a potion identifier to ensure its authenticity. The validation process for these potion identifiers involves a combination of magical computations. The validation process is described as follows: Take the product of the digits at odd positions from left to right. Take the sum of the squared digits at even positions from left to right. If the absolute difference between the results from step 1 and step 2 is a prime number, the potion identifier is considered valid; otherwise, it is invalid. Example 1: Consider the magical potion identifier 72183496. Step 1. Take the product of the digits at odd positions from left to right. 7*1*3*9=189 Step 2. Take the sum of the squared digits at even positions from left to right. 2^2+8^2+4^2+6^2=4+64 +16 +36 = 120 Step 3. If the absolute difference between the results from step 1 and step 2 is a prime number. 1189 - 120) = 69 (a prime number) Potion identifier 72183496 is valid. Example 2: Now, let's examine the magical potion identifier 54321678. Step 1. Take the product of the digits at odd positions from left to right. 5*3*1*7=105 Step 2. Take the sum of the squared digits at even positions from left to right. 4^2+2^2+6^2+8^2=16+4+36 +64 = 120 Step 3. If the absolute difference between the results from step 1 and step 2 is a prime number. 1105-120) = 15 (not a prime number) Potion identifier 54321678 is invalid. Example 3: Finally, let's check the magical potion identifier 98765432. Step 1. Take the product of the digits at odd positions from left to right. 9*7*5*3=945 Step 2. Take the sum of the squared digits at even positions from left to right. 8^2+6^2+4^2+2^2=64 +36 + 16+ 4 = 120 Step 3. If the absolute difference between the results from step 1 and step 2 is a prime number. 1945-1201825 (not a prime number) Potion identifier 98765432 is invalid. Your task is to write a program that reads magical potion identifiers from user input and classifies them as "valid" or "invalid." The program should have two arrays for valid and invalid potion identifiers, initially empty. The array sizes should be set to 20, assuming the user will enter at most 20 potion identifiers. The program should start asking for an integer from the user, representing the magical potion identifier. If the potion identifier is valid according to the validation steps, it should be added to the "valid potion identifiers" array. If the code is invalid, it should be added to the "invalid potion identifiers" array. If the user enters the code O, the program should display the valid and invalid potion identifiers arrays and stop. Error handling for non-integer inputs is not required.