Write a function named second-largest in Scheme that takes a list of numbers and uses fold (or reduce) to return the second largest element on the list. You must use either fold or reduce to do the vast majority of the work. (You may do a little pre- and post- processing outside the call to fold.) You may use the built-in fold method by adding the line (require 'list-lib), or you can use your own implementation. The built-in fold function has parameters in this order: action partial-result lst. You may assume that the list contains at least one element. For example, (second-largest '(5)) should return 5 (second-largest '(1 3)) should return 1 (second-largest '(8 6 7 5 3 0 9)) should return 8

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 6PE
Question

Write a function named second-largest in Scheme that takes a list of numbers and uses fold (or reduce) to return the second largest element on the list.

You must use either fold or reduce to do the vast majority of the work. (You may do a little pre- and post- processing outside the call to fold.) You may use the built-in fold method by adding the line (require 'list-lib), or you can use your own implementation.

The built-in fold function has parameters in this order: action partial-result lst.

You may assume that the list contains at least one element.

For example,

  • (second-largest '(5)) should return 5
  • (second-largest '(1 3)) should return 1
  • (second-largest '(8 6 7 5 3 0 9)) should return 8
 

 

**How to Implement `second-largest` Function in Scheme**

In this lesson, we’ll learn to write a function called `second-largest` in Scheme. This function will take a list of numbers and return the second largest number from the list. For implementation, we'll primarily utilize the `fold` or `reduce` functions.

### Key Points:

- **Use of `fold` or `reduce`:** You must employ either of these functions for the main logic. Minimal pre- and post-processing outside the call to `fold` is acceptable.
- **Built-in `fold`:** You can leverage Scheme’s built-in `fold` function by adding `(require 'list-lib)` to your code. Alternatively, you can craft your custom `fold` implementation.
- **Parameters of `fold`:** The function accepts parameters in the following order: `action`, `partial-result`, `lst`.

### Assumptions:
- The list will contain at least one element.

### Examples:

1. `(second-largest '(5))`
   - **Output:** 5

2. `(second-largest '(1 3))`
   - **Output:** 1

3. `(second-largest '(8 6 7 5 3 0 9))`
   - **Output:** 8

By following these instructions, you can effectively create a function that correctly identifies the second largest element in any given list.
Transcribed Image Text:**How to Implement `second-largest` Function in Scheme** In this lesson, we’ll learn to write a function called `second-largest` in Scheme. This function will take a list of numbers and return the second largest number from the list. For implementation, we'll primarily utilize the `fold` or `reduce` functions. ### Key Points: - **Use of `fold` or `reduce`:** You must employ either of these functions for the main logic. Minimal pre- and post-processing outside the call to `fold` is acceptable. - **Built-in `fold`:** You can leverage Scheme’s built-in `fold` function by adding `(require 'list-lib)` to your code. Alternatively, you can craft your custom `fold` implementation. - **Parameters of `fold`:** The function accepts parameters in the following order: `action`, `partial-result`, `lst`. ### Assumptions: - The list will contain at least one element. ### Examples: 1. `(second-largest '(5))` - **Output:** 5 2. `(second-largest '(1 3))` - **Output:** 1 3. `(second-largest '(8 6 7 5 3 0 9))` - **Output:** 8 By following these instructions, you can effectively create a function that correctly identifies the second largest element in any given list.
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