Please only do rec_sum_digits function in python using only recursive and no loop

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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Please only do rec_sum_digits function in python using only recursive and no loop

**Problem A: Implementing Digit Sum Functions**

For this task, you will write two different functions to iterate through a string. One function will use recursion, while the other will use a loop. Your goal is to implement two functions: `rec_sum_digits` and `loop_sum_digits`, both accepting a single string argument `st`.

### Function Requirements

Both functions should return an integer representing the sum of all the digits in the given string. If there are no digits, the function should return `0`. You can use the string method `.isdigit()` to check if a character is a digit.

### Constraints

- **`loop_sum_digits`:**
  - Must use either a `for` loop or a `while` loop to solve the problem.
  - Must not use recursion.

- **`rec_sum_digits`:**
  - Must use recursion to solve the problem.
  - Must not use any kind of `for` or `while` loop.

Given the same inputs, both `rec_sum_digits` and `loop_sum_digits` should return the same value, assuming there is enough time, memory, and no maximum recursion depth. Additionally, you cannot use the built-in `sum` function.

### Examples

```plaintext
>>> rec_sum_digits("145")
10

>>> loop_sum_digits("145")
10

>>> rec_sum_digits("The Sum of 3 and 17 is 20")
13

>>> loop_sum_digits("The Sum of 3 and 17 is 20")
13
```

In these examples, the functions correctly identify the digits within the strings and compute their sum.
Transcribed Image Text:**Problem A: Implementing Digit Sum Functions** For this task, you will write two different functions to iterate through a string. One function will use recursion, while the other will use a loop. Your goal is to implement two functions: `rec_sum_digits` and `loop_sum_digits`, both accepting a single string argument `st`. ### Function Requirements Both functions should return an integer representing the sum of all the digits in the given string. If there are no digits, the function should return `0`. You can use the string method `.isdigit()` to check if a character is a digit. ### Constraints - **`loop_sum_digits`:** - Must use either a `for` loop or a `while` loop to solve the problem. - Must not use recursion. - **`rec_sum_digits`:** - Must use recursion to solve the problem. - Must not use any kind of `for` or `while` loop. Given the same inputs, both `rec_sum_digits` and `loop_sum_digits` should return the same value, assuming there is enough time, memory, and no maximum recursion depth. Additionally, you cannot use the built-in `sum` function. ### Examples ```plaintext >>> rec_sum_digits("145") 10 >>> loop_sum_digits("145") 10 >>> rec_sum_digits("The Sum of 3 and 17 is 20") 13 >>> loop_sum_digits("The Sum of 3 and 17 is 20") 13 ``` In these examples, the functions correctly identify the digits within the strings and compute their sum.
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