6-Write a Scheme procedure that takes a list and returns the list created by switching successive elements in the list. For example (newlist '(a (b) c (de) fg)) returns ((b) a (e d) c gf).Then, Manually trace your procedure with the pro- vided example. Please study provided examples in the lecture notes to learn how you should manually trace our procedure.

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Chapter7: Arrays
Section7.5: Case Studies
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### Scheme Procedure for Element Switching in a List

**Objective:** Write a Scheme procedure that takes a list and returns the list created by switching successive elements in the list.

**Task Description:**
For example, given the list `'(a b c d e f g)` as input, the procedure should produce the list `(b a d c f e g)` as output.

**Example:**
- **Input List:** `(a b c d e f g)`
- **Output List:** `(b a d c f e g)`

**Steps to Implement:**
1. Define a Scheme procedure to process list elements.
2. Switch successive elements within the list.
3. Handle cases where the list has an odd number of elements (last element remains in place).

**Procedure Example:**

```scheme
(define (switch-successive-elements lst)
  (cond
    [(or (empty? lst) (empty? (rest lst))) lst] ; if list is empty or has only one element, return it
    [else (cons (second lst) 
                (cons (first lst) 
                      (switch-successive-elements (rest (rest lst)))))]))

; Usage example:
(switch-successive-elements '(a b c d e f g))
; Returns: (b a d c f e g)
```

**Manual Tracing of Procedure:**
1. **Initial List:** `(a b c d e f g)`
2. **First Step:** `b` and `a` are switched: => `(b a)`
3. **Remaining List:** `(c d e f g)`
4. **Second Step:** `d` and `c` are switched: => `(d c)`
5. **Remaining List:** `(e f g)`
6. **Third Step:** `f` and `e` are switched: => `(f e)`
7. **Remaining List:** `(g)`
8. **Final Step:** `g` remains as it is.

So, the final output list is `(b a d c f e g)`.

**Study Tip:**
Please study provided examples in the lecture notes to learn how to manually trace our procedure. Manually tracing helps understand the recursion and list processing techniques in Scheme.

This procedure is helpful in understanding basic list manipulation and recursion concepts in functional programming using Scheme.
Transcribed Image Text:### Scheme Procedure for Element Switching in a List **Objective:** Write a Scheme procedure that takes a list and returns the list created by switching successive elements in the list. **Task Description:** For example, given the list `'(a b c d e f g)` as input, the procedure should produce the list `(b a d c f e g)` as output. **Example:** - **Input List:** `(a b c d e f g)` - **Output List:** `(b a d c f e g)` **Steps to Implement:** 1. Define a Scheme procedure to process list elements. 2. Switch successive elements within the list. 3. Handle cases where the list has an odd number of elements (last element remains in place). **Procedure Example:** ```scheme (define (switch-successive-elements lst) (cond [(or (empty? lst) (empty? (rest lst))) lst] ; if list is empty or has only one element, return it [else (cons (second lst) (cons (first lst) (switch-successive-elements (rest (rest lst)))))])) ; Usage example: (switch-successive-elements '(a b c d e f g)) ; Returns: (b a d c f e g) ``` **Manual Tracing of Procedure:** 1. **Initial List:** `(a b c d e f g)` 2. **First Step:** `b` and `a` are switched: => `(b a)` 3. **Remaining List:** `(c d e f g)` 4. **Second Step:** `d` and `c` are switched: => `(d c)` 5. **Remaining List:** `(e f g)` 6. **Third Step:** `f` and `e` are switched: => `(f e)` 7. **Remaining List:** `(g)` 8. **Final Step:** `g` remains as it is. So, the final output list is `(b a d c f e g)`. **Study Tip:** Please study provided examples in the lecture notes to learn how to manually trace our procedure. Manually tracing helps understand the recursion and list processing techniques in Scheme. This procedure is helpful in understanding basic list manipulation and recursion concepts in functional programming using Scheme.
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