## The challenge

You have `n`

`candies`

, the `i`

candy is of type ^{th}`candies[i]`

.

You want to distribute the candies equally between a sister and a brother so that each of them gets `n / 2`

candies (`n`

is even). The sister loves to collect different types of candies, so you want to give her the **maximum number of different types** of candies.

Return *the maximum number of different types* of candies you can give to the sister.

**Example 1:**

Input:candies = [1,1,2,2,3,3]Output:3Explanation:There are three different kinds of candies (1, 2 and 3), and two candies for each kind. Optimal distribution: The sister has candies [1,2,3] and the brother has candies [1,2,3], too. The sister has three different kinds of candies.

**Example 2:**

Input:candies = [1,1,2,3]Output:2Explanation:For example, the sister has candies [2,3] and the brother has candies [1,1]. The sister has two different kinds of candies, the brother has only one kind of candies.

**Example 3:**

Input:candies = [1,1]Output:1

**Example 4:**

Input:candies = [1,11]Output:1

**Example 5:**

Input:candies = [2,2]Output:1

**Constraints:**

`n == candies.length`

`2 <= n <= 10`

^{4}`n`

is even.`-10`

^{5}<= candies[i] <= 10^{5}

## The solution in Java code

Here we use a HashSet, add each of the candies, and then return the minimum size of either the set’s total size, or half of the overall candies amount.

class Solution { public int distributeCandies(int[] candies) { HashSet<Integer> set = new HashSet<>(); for (int candy: candies) { set.add(candy); } return Math.min(set.size(), candies.length / 2); } }