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Recursion: Complete the definition for sum_prime_digits, which returns the sum of all the prime digits of n. Recall that 0 and 1 are not prime numbers. Assume you have the function is_prime() defined already and ready to use (Ex: is_prime(5) will return True). You may use the below guidelines or you may suggest your own solution. Your solution should be recursive. def sum prime_digits (n): >>> sum prime_digits (12345) 10 >>> sum_prime_digits (4681029) 2 if return else: if return return 2 W 9 # 3 E F 3 $ 4 R DII % 5 65 T K A 6 Y 17 & 7 Prisen U 16 8

Recursion: Complete the definition for sum_prime_digits, which returns the sum of all the prime digits of n. Recall that 0 and 1 are not prime numbers. Assume you have the function is_prime() defined already and ready to use (Ex: is_prime(5) will return True). You may use the below guidelines or you may suggest your own solution. Your solution should be recursive. def sum prime_digits (n): >>> sum prime_digits (12345) 10 >>> sum_prime_digits (4681029) 2 if return else: if return return 2 W 9 # 3 E F 3 $ 4 R DII % 5 65 T K A 6 Y 17 & 7 Prisen U 16 8

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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### Educational Content on Recursion **Recursion Task:** The task is to complete the definition for the function `sum_prime_digits`, which returns the sum of all the prime digits in a given number `n`. Remember that 0 and 1 are not considered prime numbers. It is assumed that you have access to a pre-defined function `is_prime()` that can be used to check the primality of a digit. For example, `is_prime(5)` will return `True`. You can follow the guidelines below or create your own solution. The solution must be recursive. ```python def sum_prime_digits(n): """ Calculate the sum of all prime digits of n recursively. Args: n (int): The input number from which prime digits need to be summed. Returns: int: The sum of all prime digits in the input number. """ # Base case if n == 0: return 0 else: current_digit = n % 10 # Get the last digit of n # Recursive call with the remainder of the number if is_prime(current_digit): return current_digit + sum_prime_digits(n // 10) else: return sum_prime_digits(n // 10) # Example usage: >>> sum_prime_digits(12345) # Evaluates the sum of prime digits in 12345 10 >>> sum_prime_digits(4681029) # Evaluates the sum of prime digits in 4681029 2 ``` **Explanation:** - The function `sum_prime_digits` recursively determines the sum of prime digits of an integer `n`. - The base case returns `0` if `n` is `0`. - Uses the modulo operation to extract the last digit of `n`. - Checks if the extracted digit is prime with `is_prime()`. If true, it adds the digit to the recursive call. If not, it simply makes the recursive call without adding the digit. - Example calls demonstrate how the function evaluates the sum of prime digits in the numbers `12345` and `4681029`.
Transcribed Image Text:### Educational Content on Recursion **Recursion Task:** The task is to complete the definition for the function `sum_prime_digits`, which returns the sum of all the prime digits in a given number `n`. Remember that 0 and 1 are not considered prime numbers. It is assumed that you have access to a pre-defined function `is_prime()` that can be used to check the primality of a digit. For example, `is_prime(5)` will return `True`. You can follow the guidelines below or create your own solution. The solution must be recursive. ```python def sum_prime_digits(n): """ Calculate the sum of all prime digits of n recursively. Args: n (int): The input number from which prime digits need to be summed. Returns: int: The sum of all prime digits in the input number. """ # Base case if n == 0: return 0 else: current_digit = n % 10 # Get the last digit of n # Recursive call with the remainder of the number if is_prime(current_digit): return current_digit + sum_prime_digits(n // 10) else: return sum_prime_digits(n // 10) # Example usage: >>> sum_prime_digits(12345) # Evaluates the sum of prime digits in 12345 10 >>> sum_prime_digits(4681029) # Evaluates the sum of prime digits in 4681029 2 ``` **Explanation:** - The function `sum_prime_digits` recursively determines the sum of prime digits of an integer `n`. - The base case returns `0` if `n` is `0`. - Uses the modulo operation to extract the last digit of `n`. - Checks if the extracted digit is prime with `is_prime()`. If true, it adds the digit to the recursive call. If not, it simply makes the recursive call without adding the digit. - Example calls demonstrate how the function evaluates the sum of prime digits in the numbers `12345` and `4681029`.
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