In the enchanted forest of Elvoria, the Tree of Ages holds the secrets of ancient magic. To commune with the tree and unlock its wisdom, seekers must possess a mystical connection code, meticulously validated through sacred calculations. The validation process unfolds with intricate patterns to ensure only those with a pure connection to nature may access the tree's knowledge. The validation mechanism is outlined as follows: Sum the digits at cosmic positions from left to right, where cosmic positions are those whose indices are prime numbers. Compute the product of the digits at mystical positions from right to left, where mystical positions are those whose indices are Fibonacci numbers. Determine if the absolute difference between the results from step 1 and step 2 is a prime number. If it is, the connection code is considered valid; otherwise, it is invalid. Example 1: Consider the connection code 864201379. Step 1. Sum the digits at cosmic positions: 6+4+0+7=17 Step 2. Compute the product of the digits at mystical positions: 9*3*2*1=54 Step 3. Determine if the absolute difference between the results from step 1 and step 2 is prime: 117 - 541 = 37 (prime) Result: The connection code 864201379 is valid. Example 2: Now, let's examine the connection code 135792468. Step 1. Sum the digits at cosmic 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: 12- 1441 = 132 (not prime) Result: The connection code 135792468 is invalid. Your task is to develop a program that validates these mystical connection codes. The program should prompt the user to input connection codes one at a time. After each input, it should determine the validity of the connection code based on the validation steps described above. Valid connection codes should be stored in one array, and invalid connection codes should be stored in another. The program should continue accepting connection codes until the user enters O, at which point it should display the valid and invalid connection codes arrays and terminate. Please provide the specified program structure and problem scenario, adhering to the given guidelines and examples.

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In the enchanted forest of Elvoria, the Tree of Ages holds the secrets of ancient magic.
To commune with the tree and unlock its wisdom, seekers must possess a mystical
connection code, meticulously validated through sacred calculations. The validation
process unfolds with intricate patterns to ensure only those with a pure connection to
nature may access the tree's knowledge.
The validation mechanism is outlined as follows:
Sum the digits at cosmic positions from left to right, where cosmic positions are those
whose indices are prime numbers.
Compute the product of the digits at mystical positions from right to left, where
mystical positions are those whose indices are Fibonacci numbers.
Determine if the absolute difference between the results from step 1 and step 2 is a
prime number. If it is, the connection code is considered valid; otherwise, it is invalid.
Example 1:
Consider the connection code 864201379.
Step 1. Sum the digits at cosmic positions: 6 + 4+0+7=17
Step 2. Compute the product of the digits at mystical positions: 9*3*2*1 =54
Step 3. Determine if the absolute difference between the results from step 1 and step
2 is prime: 117-541 = 37 (prime)
Result: The connection code 864201379 is valid.
Example 2:
Now, let's examine the connection code 135792468.
Step 1. Sum the digits at cosmic 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 connection code 135792468 is invalid.
Your task is to develop a program that validates these mystical connection codes.
The program should prompt the user to input connection codes one at a time. After
each input, it should determine the validity of the connection code based on the
validation steps described above. Valid connection codes should be stored in one
array, and invalid connection codes should be stored in another. The program should
continue accepting connection codes until the user enters O, at which point it should
display the valid and invalid connection codes arrays and terminate.
Please provide the specified program structure and problem scenario, adhering to
the given guidelines and examples.
Transcribed Image Text:In the enchanted forest of Elvoria, the Tree of Ages holds the secrets of ancient magic. To commune with the tree and unlock its wisdom, seekers must possess a mystical connection code, meticulously validated through sacred calculations. The validation process unfolds with intricate patterns to ensure only those with a pure connection to nature may access the tree's knowledge. The validation mechanism is outlined as follows: Sum the digits at cosmic positions from left to right, where cosmic positions are those whose indices are prime numbers. Compute the product of the digits at mystical positions from right to left, where mystical positions are those whose indices are Fibonacci numbers. Determine if the absolute difference between the results from step 1 and step 2 is a prime number. If it is, the connection code is considered valid; otherwise, it is invalid. Example 1: Consider the connection code 864201379. Step 1. Sum the digits at cosmic positions: 6 + 4+0+7=17 Step 2. Compute the product of the digits at mystical positions: 9*3*2*1 =54 Step 3. Determine if the absolute difference between the results from step 1 and step 2 is prime: 117-541 = 37 (prime) Result: The connection code 864201379 is valid. Example 2: Now, let's examine the connection code 135792468. Step 1. Sum the digits at cosmic 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 connection code 135792468 is invalid. Your task is to develop a program that validates these mystical connection codes. The program should prompt the user to input connection codes one at a time. After each input, it should determine the validity of the connection code based on the validation steps described above. Valid connection codes should be stored in one array, and invalid connection codes should be stored in another. The program should continue accepting connection codes until the user enters O, at which point it should display the valid and invalid connection codes arrays and terminate. Please provide the specified program structure and problem scenario, adhering to the given guidelines and examples.
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