In the mystical kingdom of Lumindor, the Gates of Illumination safeguard the ancient knowledge of light and magic. To unlock these gates and access the illuminated wisdom within, seekers must possess a sacred illumination code, meticulously validated through celestial calculations. The validation process unfolds with intricate patterns to ensure only those attuned to the radiant energies may pass through the gates. The validation mechanism is outlined as follows: 1. Sum the digits at celestial positions from left to right, where celestial positions are those whose indices are prime numbers. 2. Compute the product of the digits at mystical positions from right to left, where mystical positions are those whose indices are triangular numbers. 3. Determine if the absolute difference between the results from step 1 and step 2 is a prime number. If it is, the illumination code is considered valid; otherwise, it is invalid. Example 1: Consider the illumination code 864201379. Step 1. Sum the digits at celestial positions: 6+4+0+7=17 Step 2. Compute the product of the digits at mystical positions: 9*3*1=27 Step 3. Determine if the absolute difference between the results from step 1 and step 2 is prime: 117 - 271 = 10 (not prime) Result: The illumination code 864201379 is invalid. Example 2: Now, let's examine the illumination code 135792468. Step 1. Sum the digits at celestial positions: 1+7+4=12 Step 2. Compute the product of the digits at mystical positions: 8*6*3=144 Step 3. Determine if the absolute difference between the results from step 1 and step 2 is prime: 112-1441 = 132 (not prime) Result: The illumination code 135792468 is invalid. Your task is to develop a program that validates these sacred illumination codes. The program should prompt the user to input illumination codes one at a time. After each input, it should determine the validity of the illumination code based on the validation steps described above. Valid illumination codes should be stored in one array, and invalid illumination codes should be stored in another. The program should continue accepting illumination codes until the user enters O, at which point it should display the valid and invalid illumination codes arrays and terminate. Please provide the specified program structure and problem scenario, adhering to the given guidelines and examples.
In the mystical kingdom of Lumindor, the Gates of Illumination safeguard the ancient knowledge of light and magic. To unlock these gates and access the illuminated wisdom within, seekers must possess a sacred illumination code, meticulously validated through celestial calculations. The validation process unfolds with intricate patterns to ensure only those attuned to the radiant energies may pass through the gates. The validation mechanism is outlined as follows: 1. Sum the digits at celestial positions from left to right, where celestial positions are those whose indices are prime numbers. 2. Compute the product of the digits at mystical positions from right to left, where mystical positions are those whose indices are triangular numbers. 3. Determine if the absolute difference between the results from step 1 and step 2 is a prime number. If it is, the illumination code is considered valid; otherwise, it is invalid. Example 1: Consider the illumination code 864201379. Step 1. Sum the digits at celestial positions: 6+4+0+7=17 Step 2. Compute the product of the digits at mystical positions: 9*3*1=27 Step 3. Determine if the absolute difference between the results from step 1 and step 2 is prime: 117 - 271 = 10 (not prime) Result: The illumination code 864201379 is invalid. Example 2: Now, let's examine the illumination code 135792468. Step 1. Sum the digits at celestial positions: 1+7+4=12 Step 2. Compute the product of the digits at mystical positions: 8*6*3=144 Step 3. Determine if the absolute difference between the results from step 1 and step 2 is prime: 112-1441 = 132 (not prime) Result: The illumination code 135792468 is invalid. Your task is to develop a program that validates these sacred illumination codes. The program should prompt the user to input illumination codes one at a time. After each input, it should determine the validity of the illumination code based on the validation steps described above. Valid illumination codes should be stored in one array, and invalid illumination codes should be stored in another. The program should continue accepting illumination codes until the user enters O, at which point it should display the valid and invalid illumination codes arrays and terminate. Please provide the specified program structure and problem scenario, adhering to the given guidelines and examples.
Computer Networking: A Top-Down Approach (7th Edition)
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Transcribed Image Text:In the mystical kingdom of Lumindor, the Gates of Illumination safeguard the ancient
knowledge of light and magic. To unlock these gates and access the illuminated
wisdom within, seekers must possess a sacred illumination code, meticulously
validated through celestial calculations. The validation process unfolds with intricate
patterns to ensure only those attuned to the radiant energies may pass through the
gates.
The validation mechanism is outlined as follows:
1. Sum the digits at celestial positions from left to right, where celestial positions are
those whose indices are prime numbers.
2. Compute the product of the digits at mystical positions from right to left, where
mystical positions are those whose indices are triangular numbers.
3. Determine if the absolute difference between the results from step 1 and step 2 is a
prime number. If it is, the illumination code is considered valid; otherwise, it is invalid.
Example 1:
Consider the illumination code 864201379.
Step 1. Sum the digits at celestial positions: 6+4+0+7=17
Step 2. Compute the product of the digits at mystical positions: 9*3*1=27
Step 3. Determine if the absolute difference between the results from step 1 and step
2 is prime: 117 - 271 = 10 (not prime)
Result: The illumination code 864201379 is invalid.
Example 2:
Now, let's examine the illumination code 135792468.
Step 1. Sum the digits at celestial positions: 1+7+4 = 12
Step 2. Compute the product of the digits at mystical positions: 8*6*3 = 144
Step 3. Determine if the absolute difference between the results from step 1 and step
2 is prime: 112 - 1441 = 132 (not prime)
Result: The illumination code 135792468 is invalid.
Your task is to develop a program that validates these sacred illumination codes. The
program should prompt the user to input illumination codes one at a time. After each
input, it should determine the validity of the illumination code based on the validation
steps described above. Valid illumination codes should be stored in one array, and
invalid illumination codes should be stored in another. The program should continue
accepting illumination codes until the user enters O, at which point it should display
the valid and invalid illumination codes arrays and terminate.
Please provide the specified program structure and problem scenario, adhering to
the given guidelines and examples.
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