Write a function named all-unique in Scheme that takes a list as input and returns true if each item appears once only on the list and false otherwise. You may assume the list is flat (i.e., no nested lists). Hint: Consider writing a helper function contains that returns wither a list contains a given item. For example, (all-unique '(a b c 1 2)) should return true • (all-unique '(a b c 1 a)) should return false • (all-unique '()) should return true

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Chapter1: Introduction
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in Scheme please, i need help

 

### Scheme Programming: Implementing an `all-unique` Function

This educational page demonstrates how to write a Scheme function named `all-unique`. The goal of the function is to examine a provided list and return `true` if every element appears only once. Conversely, if any elements are duplicated, the function should return `false`. The list is assumed to be flat, without nested lists.

#### Instructions:

1. **Function Specifications:**
   - **Function Name:** `all-unique`
   - **Input:** A single list.
   - **Output:** A boolean value (`true` or `false`).

2. **Implementation Considerations:**
   - Consider creating a helper function, `contains`, that checks whether a given item exists within a list.

3. **Example Usage:**
   - `(all-unique '(a b c 1 2))` should return `true`.
   - `(all-unique '(a b c 1 a))` should return `false`.
   - `(all-unique '())` should return `true`.

#### Code Example:

Below is a sample code snippet showing a partial implementation of the `all-unique` function in Scheme.

```scheme
(define (all-unique lst def)
  (if (and (null? def)
           (if (equal? lst) 0))
    '()
  )
  (if all-unique lst ((!- (all-unique lst ))
```

**Note:** The code shown above is incomplete and serves as an illustrative starting point for building the `all-unique` function. It is important to further develop the logic to handle list iteration and uniqueness checks effectively.
Transcribed Image Text:### Scheme Programming: Implementing an `all-unique` Function This educational page demonstrates how to write a Scheme function named `all-unique`. The goal of the function is to examine a provided list and return `true` if every element appears only once. Conversely, if any elements are duplicated, the function should return `false`. The list is assumed to be flat, without nested lists. #### Instructions: 1. **Function Specifications:** - **Function Name:** `all-unique` - **Input:** A single list. - **Output:** A boolean value (`true` or `false`). 2. **Implementation Considerations:** - Consider creating a helper function, `contains`, that checks whether a given item exists within a list. 3. **Example Usage:** - `(all-unique '(a b c 1 2))` should return `true`. - `(all-unique '(a b c 1 a))` should return `false`. - `(all-unique '())` should return `true`. #### Code Example: Below is a sample code snippet showing a partial implementation of the `all-unique` function in Scheme. ```scheme (define (all-unique lst def) (if (and (null? def) (if (equal? lst) 0)) '() ) (if all-unique lst ((!- (all-unique lst )) ``` **Note:** The code shown above is incomplete and serves as an illustrative starting point for building the `all-unique` function. It is important to further develop the logic to handle list iteration and uniqueness checks effectively.
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