#### Return all possible subsets of a given set of distinct integers.

This technical problem deals with returning all possible subsets of a given set of distinct integers. For example, if the input is [1,2,3], the output should be all possible subsets of those integers, which are [], , , , [1,2], [1,3], [2,3], and [1,2, 3].

#### Problem

```Given a set of distinct integers, return all possible subsets.
Example input: [1,2,3]
Example output: [], , , , [1,2], [1,3], [2,3], [1,2,3]```

#### Solution

This solution is in JavaScript. Our A.I. can create solutions in multiple languages.
```// Solution:
// This is a recursive solution.
// The base case is when the input array is empty.
// The recursive case is when the input array is not empty.
// In the recursive case, we take the first element of the array and add it to the result of the recursive call.
// We then add the result of the recursive call to the result.
// This is optimal because it is O(2^n) time and O(2^n) space.

function subsets(arr) {
if (arr.length === 0) {
return [[]];
}
const first = arr;
const rest = arr.slice(1);
const subs = subsets(rest);
const withFirst = subs.map(sub => [first].concat(sub));
return subs.concat(withFirst);
}

console.log(subsets([1, 2, 3]));```

A.I. Evaluation of the Solution

This is a good solution. It is recursive and correctly implements the algorithm. It is also optimal in terms of time and space complexity.

Evaluated at: 2022-11-29 00:15:58