You are given a sequence of numbers a1, a2, ..., an, and a number m.

Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible by m.

Input

The first line contains two numbers, n and m (1 ≤ n ≤ 106, 2 ≤ m ≤ 103) — the size of the original sequence and the number such that sum should be divisible by it.

The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109).

Output

In the single line print either "YES" (without the quotes) if there exists the sought subsequence, or "NO" (without the quotes), if such subsequence doesn't exist.

Examples

Input

3 5
1 2 3


Output

YES


Input

1 6
5


Output

NO


Input

4 6
3 1 1 3


Output

YES


Input

6 6
5 5 5 5 5 5


Output

YES

Note

In the first sample test you can choose numbers 2 and 3, the sum of which is divisible by 5.

In the second sample test the single non-empty subsequence of numbers is a single number 5. Number 5 is not divisible by 6, that is, the sought subsequence doesn't exist.

In the third sample test you need to choose two numbers 3 on the ends.

In the fourth sample test you can take the whole subsequence.
import java.util.Arrays;
import java.util.Scanner;

public class B319 {

    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        int n = scan.nextInt();
        int m = scan.nextInt();

        boolean[] table = new boolean[m];

        if (n > m) {
            System.out.println("YES");
            return;
        }

        for (int i=0; i<n;  i++) {
            int input = scan.nextInt();
            boolean[] temp = new boolean[m];
            temp[input%m] = true;
            for (int k=0; k<m; k++) {
                if  (table[k]) {
                    temp[(k+input)%m] = true;
                }
            }
            for (int j=0; j<m; j++) {
                if (temp[j])
                    table[j] = temp[j];
            }
        }


        for (int i=0; i<n; i++) {
            if (table[0])  {
                System.out.println("YES");
                return;
            }
        }
        System.out.println("NO");
    }

}
