In the mystical realm of Arcane Enclaves, ancient tomes are protected by magical incantations that require precise sequences of runes to unlock. The validation of these runes involves complex mystical rituals that ensure only the chosen ones may access the forbidden knowledge within. The validation process unfolds as follows: .. Sum the digits at odd positions from left to right. 2. Compute the product of the digits at even positions from left to right. 3. Ascertain if the absolute difference between the results from step 1 and step 2 forms a prime number. If so, the rune sequence is considered valid; otherwise, it is deemed invalid. Example 1: Consider the rune sequence 86420137. Step 1. Sum the digits at odd positions: 8+4 +0+3=15 Step 2. Compute the product of the digits at even positions: 6*2*1*7 = 84 Step 3. Determine if the absolute difference between the results from step 1 and step 2 is prime: [15-841 - 69 (not prime) Result: The rune sequence 86420137 is invalid. Example 2: Now, let's examine the rune sequence 13579246. Step 1. Sum the digits at odd positions: 1+5+9+2=17 Step 2. Compute the product of the digits at even positions: 3 *7*2*6= 252 Step 3. Ascertain if the absolute difference between the results from step 1 and step 2 forms a prime number: 17-2521 = 235 (prime) Result: The rune sequence 13579246 is valid. Your task is to construct a program that facilitates the validation of rune sequences. The program should prompt the user to input rune sequences, one at a time. Upon receiving a sequence, it should determine its validity based on the validation steps outlined above. Valid sequences should be stored in one array, and invalid sequences should be stored in another. The program should continue accepting sequences until the user enters O, at which point it should display the valid and invalid sequences arrays and terminate.

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In the mystical realm of Arcane Enclaves, ancient tomes are protected by magical
incantations that require precise sequences of runes to unlock. The validation of
these runes involves complex mystical rituals that ensure only the chosen ones may
access the forbidden knowledge within.
The validation process unfolds as follows:
.. Sum the digits at odd positions from left to right.
2. Compute the product of the digits at even positions from left to right.
3. Ascertain if the absolute difference between the results from step 1 and step 2 forms
a prime number. If so, the rune sequence is considered valid; otherwise, it is deemed
invalid.
Example 1:
Consider the rune sequence 86420137.
Step 1. Sum the digits at odd positions: 8+4+0+3=15
Step 2. Compute the product of the digits at even positions: 6*2*1*7=84
Step 3. Determine if the absolute difference between the results from step 1 and step
2 is prime: 115-841 = 69 (not prime)
Result: The rune sequence 86420137 is invalid.
Example 2:
Now, let's examine the rune sequence 13579246.
Step 1. Sum the digits at odd positions: 1+5+9+2=17
Step 2. Compute the product of the digits at even positions: 3*7*2*6 = 252
Step 3. Ascertain if the absolute difference between the results from step 1 and step 2
forms a prime number: 117 - 252) = 235 (prime)
Result: The rune sequence 13579246 is valid.
Your task is to construct a program that facilitates the validation of rune sequences.
The program should prompt the user to input rune sequences, one at a time. Upon
receiving a sequence, it should determine its validity based on the validation steps
outlined above. Valid sequences should be stored in one array, and invalid sequences
should be stored in another. The program should continue accepting sequences until
the user enters O, at which point it should display the valid and invalid sequences
arrays and terminate.
Transcribed Image Text:In the mystical realm of Arcane Enclaves, ancient tomes are protected by magical incantations that require precise sequences of runes to unlock. The validation of these runes involves complex mystical rituals that ensure only the chosen ones may access the forbidden knowledge within. The validation process unfolds as follows: .. Sum the digits at odd positions from left to right. 2. Compute the product of the digits at even positions from left to right. 3. Ascertain if the absolute difference between the results from step 1 and step 2 forms a prime number. If so, the rune sequence is considered valid; otherwise, it is deemed invalid. Example 1: Consider the rune sequence 86420137. Step 1. Sum the digits at odd positions: 8+4+0+3=15 Step 2. Compute the product of the digits at even positions: 6*2*1*7=84 Step 3. Determine if the absolute difference between the results from step 1 and step 2 is prime: 115-841 = 69 (not prime) Result: The rune sequence 86420137 is invalid. Example 2: Now, let's examine the rune sequence 13579246. Step 1. Sum the digits at odd positions: 1+5+9+2=17 Step 2. Compute the product of the digits at even positions: 3*7*2*6 = 252 Step 3. Ascertain if the absolute difference between the results from step 1 and step 2 forms a prime number: 117 - 252) = 235 (prime) Result: The rune sequence 13579246 is valid. Your task is to construct a program that facilitates the validation of rune sequences. The program should prompt the user to input rune sequences, one at a time. Upon receiving a sequence, it should determine its validity based on the validation steps outlined above. Valid sequences should be stored in one array, and invalid sequences should be stored in another. The program should continue accepting sequences until the user enters O, at which point it should display the valid and invalid sequences arrays and terminate.
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