Problem Description: The Galactic Puzzle Federation has implemented a unique encryption system to protect classified information across the cosmos. They designed a mechanism to verify whether an encrypted code is valid or not. Your task is to create a program that can classify these codes as either "valid" or "invalid." The encryption mechanism is as follows: 1. Take the digits at prime positions (2, 3, 5, 7, 11, etc.) from left to right and add them up. 2. Take the digits at non-prime positions and square each one of those digits. Add all the squared digits. 3. If the sum from step 1 and the sum from step 2 are both prime numbers, then the code is valid. Otherwise, it is invalid. Example 1: Let's check whether the code 739142 is valid or not. Step 1. Take digits at prime positions (2nd, 3rd, 5th): 3+9+2=14 Step 2. Take digits at non-prime positions (1st, 4th, 6th): 7^2+1^2+4^2 = 74 Step 3. Check if both sums are prime: 14 (not prime), 74 (not prime) Code 739142 is invalid. Example 2: Now, let's check the code 258316. Step 1. Take digits at prime positions (2nd, 3rd, 5th): 5+8+1=14 Step 2. Take digits at non-prime positions (1st, 4th, 6th): 2^2+3^2+6^2=49 Step 3. Check if both sums are prime: 14 (not prime), 49 (not prime) Code 258316 is invalid. Requirements: Write a program that reads encrypted codes from user input and classifies them as "valid" or "invalid." The program should have two arrays of integers for valid and invalid codes, initially empty. The array sizes should be set to 20. Assume the user will enter at most 20 codes. The program should continuously ask for an integer from the user. If the code is valid, add it to the "valid codes" array; if invalid, add it to the "invalid codes" array. If the user enters O, display the valid and invalid codes arrays and stop the program. Error handling for non-numeric input is not required.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Problem Description:
The Galactic Puzzle Federation has implemented a unique encryption system to
protect classified information across the cosmos. They designed a mechanism to
verify whether an encrypted code is valid or not. Your task is to create a program that
can classify these codes as either "valid" or "invalid."
The encryption mechanism is as follows:
1. Take the digits at prime positions (2, 3, 5, 7, 11, etc.) from left to right and add them up.
2. Take the digits at non-prime positions and square each one of those digits. Add all
the squared digits.
3. If the sum from step 1 and the sum from step 2 are both prime numbers, then the
code is valid. Otherwise, it is invalid.
Example 1:
Let's check whether the code 739142 is valid or not.
Step 1. Take digits at prime positions (2nd, 3rd, 5th):
3+9+2=14
Step 2. Take digits at non-prime positions (1st, 4th, 6th):
7^2+1^2+4^2 = 74
Step 3. Check if both sums are prime:
14 (not prime), 74 (not prime)
Code 739142 is invalid.
Example 2:
Now, let's check the code 258316.
Step 1. Take digits at prime positions (2nd, 3rd, 5th):
5+8+1=14
Step 2. Take digits at non-prime positions (1st, 4th, 6th):
2^2+3^2+6^2= 49
Step 3. Check if both sums are prime:
14 (not prime), 49 (not prime)
Code 258316 is invalid.
Requirements:
Write a program that reads encrypted codes from user input and classifies them as
"valid" or "invalid." The program should have two arrays of integers for valid and
invalid codes, initially empty. The array sizes should be set to 20. Assume the user will
enter at most 20 codes. The program should continuously ask for an integer from the
user. If the code is valid, add it to the "valid codes" array; if invalid, add it to the "invalid
codes" array. If the user enters O, display the valid and invalid codes arrays and stop
the program. Error handling for non-numeric input is not required.
Transcribed Image Text:Problem Description: The Galactic Puzzle Federation has implemented a unique encryption system to protect classified information across the cosmos. They designed a mechanism to verify whether an encrypted code is valid or not. Your task is to create a program that can classify these codes as either "valid" or "invalid." The encryption mechanism is as follows: 1. Take the digits at prime positions (2, 3, 5, 7, 11, etc.) from left to right and add them up. 2. Take the digits at non-prime positions and square each one of those digits. Add all the squared digits. 3. If the sum from step 1 and the sum from step 2 are both prime numbers, then the code is valid. Otherwise, it is invalid. Example 1: Let's check whether the code 739142 is valid or not. Step 1. Take digits at prime positions (2nd, 3rd, 5th): 3+9+2=14 Step 2. Take digits at non-prime positions (1st, 4th, 6th): 7^2+1^2+4^2 = 74 Step 3. Check if both sums are prime: 14 (not prime), 74 (not prime) Code 739142 is invalid. Example 2: Now, let's check the code 258316. Step 1. Take digits at prime positions (2nd, 3rd, 5th): 5+8+1=14 Step 2. Take digits at non-prime positions (1st, 4th, 6th): 2^2+3^2+6^2= 49 Step 3. Check if both sums are prime: 14 (not prime), 49 (not prime) Code 258316 is invalid. Requirements: Write a program that reads encrypted codes from user input and classifies them as "valid" or "invalid." The program should have two arrays of integers for valid and invalid codes, initially empty. The array sizes should be set to 20. Assume the user will enter at most 20 codes. The program should continuously ask for an integer from the user. If the code is valid, add it to the "valid codes" array; if invalid, add it to the "invalid codes" array. If the user enters O, display the valid and invalid codes arrays and stop the program. Error handling for non-numeric input is not required.
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