Step by Step solution about How to resolve the algorithm Self-describing numbers step by step in the Mathematica/Wolfram Language programming language

The provided Wolfram code defines a function named isSelfDescribing that checks whether a given integer n is a self-describing number or not. Here's a detailed explanation of how the code works:

1. The function takes one input parameter, n, which is expected to be an integer.

2. RotateRight[DigitCount[n]]: This part of the code calculates the digit count of the integer n and then performs a "right rotation" on the result. Right rotation is a mathematical operation that shifts the digits in a number to the right by one position. This operation effectively moves the last digit to the front of the number.

3. PadRight[IntegerDigits[n], 10]: This part of the code converts the integer n into a list of its individual digits using the IntegerDigits function and then pads the list with zeros on the left to ensure that it has a length of 10. This step ensures that the result has a consistent length of 10 digits, regardless of the original length of n.

4. The result of the right rotation in step 2 (RotateRight[DigitCount[n]]) is then compared to the padded list of digits in step 3 (PadRight[IntegerDigits[n], 10]).

5. If these two lists are equal element-wise, it means that the number of digits in n (after right rotation) matches the description of the digits in n (from the padded list). In this case, the function returns True, indicating that n is a self-describing number.

6. If the two lists are not equal, the function returns False, indicating that n is not a self-describing number.

In summary, the isSelfDescribing function checks whether the number of digits in an integer n matches the description of the digits in n. If this condition is met, the function returns True, indicating that n is a self-describing number; otherwise, it returns False.

isSelfDescribing[n_Integer] := (RotateRight[DigitCount[n]] == PadRight[IntegerDigits[n], 10])