#### Print the size of the largest subset of distinct integers where the sum of...

Given a set of distinct integers, this code prints the size of the largest subset where the sum of any two numbers is not evenly divisible by a given number.

#### Problem

```Given a set of distinct integers, print the size of a maximal subset of  where the sum of any  numbers in is not evenly divisible by .
Input: arr[] = {3, 1, 4, 6, 5}
Output: 3
Subset with sum not divisible by 4 is {3, 1, 5}, with sum 9.```

#### Solution

This solution is in JavaScript. Our A.I. can create solutions in multiple languages.
by kayakane
```// Solution:
// The solution is to sort the array and then iterate through it.
// For each element, we check if the sum of the element and the previous element is divisible by k.
// If it is, we skip the element. If it isn't, we add it to the subset.
// This is optimal because we only iterate through the array once.

function maxSubset(arr, k) {
arr.sort((a, b) => a - b);
let subset = [];
let prev = 0;
for (let i = 0; i < arr.length; i++) {
if ((arr[i] + prev) % k !== 0) {
subset.push(arr[i]);
prev = arr[i];
}
}
return subset.length;
}

console.log(maxSubset([3, 1, 4, 6, 5], 4));```

A.I. Evaluation of the Solution

The candidate's solution is correct and demonstrates a level of completeness. The approach is also sensible.

Evaluated at: 2022-11-25 08:15:52