Write a function named split-list in Scheme that takes a list and a length as input and returns two lists: (1) The first length elements of the input list, and (2) the remainder of the input list. Hint: Use a helper method with an "accumulator" parameter.

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**Function Design: `split-list` in Scheme**

This educational section focuses on creating a function named `split-list` in the Scheme programming language. The objective of this function is to take a list and a specified length as inputs, and return two separate lists:
1. The first list contains the initial elements up to the given length.
2. The second list comprises the remaining elements of the original list.

**Implementation Hint:**
Use a helper method that involves an "accumulator" parameter to facilitate this process.

**Examples:**

1. `(split-list '(a b c d e f g) 0)` should return `(() (a b c d e f g))`
   - Here, length is `0`, so the first part is an empty list, and the second part contains all original elements.

2. `(split-list '(a b c d e f g) 1)` should return `((a) (b c d e f g))`
   - The first element `a` is in the first list, with the remainder in the second.

3. `(split-list '(a b c d e f g) 3)` should return `((a b c) (d e f g))`
   - The first three elements `(a b c)` are separated in the first list, and the rest `(d e f g)` in the second.

4. `(split-list '(a b c d e f g) 7)` should return `((a b c d e f g) ())`
   - The length equals the list size, so all elements appear in the first list, leaving an empty second list.

These examples demonstrate how the function effectively splits lists based on the specified length.
Transcribed Image Text:**Function Design: `split-list` in Scheme** This educational section focuses on creating a function named `split-list` in the Scheme programming language. The objective of this function is to take a list and a specified length as inputs, and return two separate lists: 1. The first list contains the initial elements up to the given length. 2. The second list comprises the remaining elements of the original list. **Implementation Hint:** Use a helper method that involves an "accumulator" parameter to facilitate this process. **Examples:** 1. `(split-list '(a b c d e f g) 0)` should return `(() (a b c d e f g))` - Here, length is `0`, so the first part is an empty list, and the second part contains all original elements. 2. `(split-list '(a b c d e f g) 1)` should return `((a) (b c d e f g))` - The first element `a` is in the first list, with the remainder in the second. 3. `(split-list '(a b c d e f g) 3)` should return `((a b c) (d e f g))` - The first three elements `(a b c)` are separated in the first list, and the rest `(d e f g)` in the second. 4. `(split-list '(a b c d e f g) 7)` should return `((a b c d e f g) ())` - The length equals the list size, so all elements appear in the first list, leaving an empty second list. These examples demonstrate how the function effectively splits lists based on the specified length.
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