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.*;
import java.io.*;
import java.math.*;

public class BasicJava 
{
   
   public static void main(String[] args)
   {
      Task Main = new Task();
      
      Main.solve();
   }
   
   public static class Task
   {
      InputReader in = new InputReader(System.in);
      PrintWriter out = new PrintWriter(System.out);
      
      public void solve()
      {
         int n = in.nextInt();
         int m = in.nextInt();
         
         int[] t = new int[1000010];
         int[] nr = new int[1000010];
         
         boolean[][] dp = new boolean[1010][1010];
         
         for (int i = 1; i <= n; i++) t[i] = in.nextInt();
         
         if (n <= m) {
            
            for (int i = 1; i <= n; i++) {
               
               for (int j = 0; j < m; j++) dp[i][j] = dp[i - 1][j];
               
               for (int j = 0; j < m; j++)
                  if (dp[i - 1][j]) dp[i][(j + t[i]) % m] = true;
               
               dp[i][t[i] % m] = true;
            }
            
            out.println(dp[n][0] ? "YES":"NO");
            
            out.close();
            
            System.exit(0);
         }
         
         for (int i = 1; i <= n; i++) t[i] = (t[i - 1] + t[i]) % m;
         
         for (int i = 1; i <= n; i++) nr[t[i]]++;
         
         for (int i = 0; i < m; i++)
            if (nr[i] > 1) {
               
               out.println("YES"); out.close();
               
               System.exit(0);
            }
         
         out.println("NO");
         
         out.close();
         
      }
      
   }

   static class InputReader
   {
      private InputStream stream;
      private byte[] buf = new byte[2048];
      private int curChar;
      private int numChars;
 
      public InputReader(InputStream stream)
      {
         this.stream = stream;
      }
 
      public int read()
      {
         if (numChars == -1)
            throw new UnknownError();
         if (curChar >= numChars)
         {
            curChar = 0;
            try
            {
               numChars = stream.read(buf);
            }
            catch (IOException e)
            {
               throw new UnknownError();
            }
            if (numChars <= 0)
               return -1;
         }
         return buf[curChar++];
      }
 
      public int peek()
      {
         if (numChars == -1)
            return -1;
         if (curChar >= numChars)
         {
            curChar = 0;
            try
            {
               numChars = stream.read(buf);
            }
            catch (IOException e)
            {
               return -1;
            }
            if (numChars <= 0)
               return -1;
         }
         return buf[curChar];
      }
 
      public void skip(int x)
      {
         while (x-- > 0)
            read();
      }
 
      public int nextInt()
      {
         return Integer.parseInt(next());
      }
 
      public long nextLong()
      {
         return Long.parseLong(next());
      }
 
      public String nextString()
      {
         return next();
      }
 
      public String next()
      {
         int c = read();
         while (isSpaceChar(c))
            c = read();
         StringBuffer res = new StringBuffer();
         do
         {
            res.appendCodePoint(c);
            c = read();
         }
         while (!isSpaceChar(c));
 
         return res.toString();
      }
 
      public String nextLine()
      {
         StringBuffer buf = new StringBuffer();
         int c = read();
         while (c != '\n' && c != -1)
         {
            if (c != '\r')
               buf.appendCodePoint(c);
            c = read();
         }
         return buf.toString();
      }
 
      public double nextDouble()
      {
         int c = read();
         while (isSpaceChar(c))
            c = read();
         int sgn = 1;
         if (c == '-')
         {
            sgn = -1;
            c = read();
         }
         double res = 0;
         while (!isSpaceChar(c) && c != '.')
         {
            if (c == 'e' || c == 'E')
               return res * Math.pow(10, nextInt());
            if (c < '0' || c > '9')
               throw new InputMismatchException();
            res *= 10;
            res += c - '0';
            c = read();
         }
         if (c == '.')
         {
            c = read();
            double m = 1;
            while (!isSpaceChar(c))
            {
               if (c == 'e' || c == 'E')
                  return res * Math.pow(10, nextInt());
               if (c < '0' || c > '9')
                  throw new InputMismatchException();
               m /= 10;
               res += (c - '0') * m;
               c = read();
            }
         }
         return res * sgn;
      }
 
      public boolean hasNext()
      {
         int value;
         while (isSpaceChar(value = peek()) && value != -1)
            read();
         return value != -1;
      }
 
      private boolean isSpaceChar(int c)
      {
         return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
      }
 
   }
}