575. Distribute Candies

Given an integer array with even length, where different numbers in this array represent different kinds of candies. Each number means one candy of the corresponding kind. You need to distribute these candies equally in number to brother and sister. Return the maximum number of kinds of candies the sister could gain.

Example 1:
Input: candies = [1,1,2,2,3,3]
Output: 3
Explanation:
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: 2
Explanation: 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. 

Note:
The length of the given array is in range [2, 10,000], and will be even.
The number in given array is in range [-100,000, 100,000].

Solution：

思路：
如果总共有n个糖，平均分给两个人，每人得到n/2块糖，那么能拿到的最大的糖的种类数也就是n／2种，不可能再多，只可能再少。那么我们要做的就是统计出总共的糖的种类数，如果糖的种类数小于n/2，说明拿不到n/2种糖，最多能拿到的种类数数就是当前糖的总种类数
Time Complexity: O(N) Space Complexity: O(N)

Solution Code：

public class Solution {
    public int distributeCandies(int[] candies) {
        Set kinds = new HashSet<>();
        for (int candy : candies) kinds.add(candy);
        return kinds.size() >= candies.length / 2 ? candies.length / 2 : kinds.size();
    }
}