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.
#include <bits/stdc++.h>
using namespace std;
int can[1005][1005][2], arr[1000005];
int main() {
  ios::sync_with_stdio(0);
a:
  int n, m;
  cin >> n >> m;
  for (int i = 1; i <= n; i++) cin >> arr[i], arr[i] %= m;
  if (n > m)
    cout << "YES\n";
  else {
    memset(can, 0, sizeof can);
    can[0][0][0] = 1;
    for (int i = 1; i <= n; i++) {
      for (int j = 0; j < m; j++) {
        can[i][j][0] = (j == 0) ? 1 : 0;
        can[i][j][1] = can[i - 1][j][1] | can[i - 1][(j - arr[i] + m) % m][0] |
                       can[i - 1][(j - arr[i] + m) % m][1];
      }
    }
    if (can[n][0][1])
      cout << "YES\n";
    else
      cout << "NO\n";
  }
}
