Multi-Language (Coding): Factorial of Sum of Digits Test

The problem statement requires us to find the total number of "special numbers" in an array of positive integers. A special number is defined as a number whose final sum (sum of each digit until the sum is less than 10) has a factorial sum that contains each digit of the number. To solve this problem, we can use the following approach:

Define a helper function calculate_factorial_sum that takes an integer n as input and returns the factorial sum of n. The factorial sum of n is calculated as the factorial of the final sum of n. Define a helper function calculate_final_sum that takes an integer n as input and returns the final sum of n. Iterate through each element in the array arr. For each element, calculate its final sum and factorial sum using the helper functions calculate_final_sum and calculate_factorial_sum. Check if each digit in the number is present in the factorial sum. If it is, mark the number as a special number.