You are given an array A of size N, and Q queries to deal with. For each query, you are given an integer X, and you're supposed to find out if X is present in the array A or not.

Input:
The first line contains two integers, N and Q, denoting the size of array A and number of queries. The second line contains N space separated integers, denoting the array of elements A_i. The next Q lines contain a single integer X per line.

Output:
For each query, print YES if the X is in the array, otherwise print NO.

Constraints:
1 <= N, Q <= 10⁵
1 <= A_i <= 10⁹
1 <= X <= 10⁹