def persistence(n):
    print("Entered persistence function with n =", n)
    if 0 <= n <= 9:
        print("n is a single digit number, returning n")
        return n
 
    result = 0
    counter = 0
    while True:
        print("Previous result:", result)
        print("Previous counter:", counter)
        p = persistence(n // 10)
        print("Current persistence:", p)
        result += n % 10 * p
        counter += 1
        print("Current result:", result)
        print("Current counter:", counter)
        if result > 9:
            n = result
            result = 0
            print("Result is greater than 9, resetting result to 0 and continuing loop")
            continue
        print("Result is not greater than 9, returning counter")
        return counter
 
 
print(persistence(999))
 

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