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.io.*;
import java.lang.reflect.Array;
import java.math.BigInteger;
import java.util.*;
import java.util.regex.Matcher;
import java.util.regex.Pattern;
import java.util.Map.Entry;

public class codeChef
{
    static int mod1 = (int) (1e9 + 7);

    static class Reader
    {
        final private int BUFFER_SIZE = 1 << 16;
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;

        public Reader()
        {
            din = new DataInputStream(System.in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public Reader(String file_name) throws IOException
        {
            din = new DataInputStream(new FileInputStream(file_name));
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public String readLine() throws IOException
        {
            byte[] buf = new byte[64]; // line length
            int cnt = 0, c;
            while ((c = read()) != -1)
            {
                if (c == '\n')
                    break;
                buf[cnt++] = (byte) c;
            }
            return new String(buf, 0, cnt);
        }

        public int nextInt() throws IOException
        {
            int ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do
            {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');

            if (neg)
                return -ret;
            return ret;
        }

        public long nextLong() throws IOException
        {
            long ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do
            {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }

        public double nextDouble() throws IOException
        {
            double ret = 0, div = 1;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();

            do
            {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');

            if (c == '.')
            {
                while ((c = read()) >= '0' && c <= '9')
                {
                    ret += (c - '0') / (div *= 10);
                }
            }

            if (neg)
                return -ret;
            return ret;
        }

        private void fillBuffer() throws IOException
        {
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
            if (bytesRead == -1)
                buffer[0] = -1;
        }

        private byte read() throws IOException
        {
            if (bufferPointer == bytesRead)
                fillBuffer();
            return buffer[bufferPointer++];
        }

        public void close() throws IOException
        {
            if (din == null)
                return;
            din.close();
        }

        public int[] nextArray(int n) throws IOException
        {
            int[] a = new int[n];
            for (int i = 0; i < n; i++)
            {
                a[i] = nextInt();
            }
            return a;
        }
    }

    static long power2(long x, long y, long p )
    {
        long res = 1;
        x = x % p;
        while (y > 0)
        {
            if((y & 1)==1)
            {
                BigInteger res0 = BigInteger.valueOf(res);
                res0=res0.multiply(BigInteger.valueOf(x));
                res0=res0.mod(BigInteger.valueOf(p));
                String str0=res0.toString();
                res=Long.parseLong(str0);
            }
            y = y >> 1;
            BigInteger res00=BigInteger.valueOf(x);
            res00=res00.multiply(BigInteger.valueOf(x));
            res00=res00.mod(BigInteger.valueOf(p));
            String ans00=res00.toString();
            x=Long.parseLong(ans00);

        }
        return res;
    }

    static int add(long num0)
    {
        String str1=String.valueOf(num0);
        int len1=str1.length();
        int sum0=0;
        for(int i=0;i<len1;i++)
        {
            sum0=sum0+Character.getNumericValue(str1.charAt(i));
        }
        return sum0;
    }

    public static void main(String[] args) throws IOException
    {
        Reader r=new Reader();
        OutputWriter2 out1 = new OutputWriter2(System.out);
        int num1=r.nextInt();
        int num2=r.nextInt();
        int[] arr1=new int[num2+1];
        int[] arr2=new int[num2+1];
        Arrays.fill(arr2,0);
        Arrays.fill(arr1,0);
        String ans1="NO";
        for(int i=0;i<num1;i++)
        {
            int num3=r.nextInt();
            num3=num3%num2;
            for(int j=0;j<num2+1;j++)
            {
                if(arr1[j]==1)
                {
                    arr2[(j+num3)%num2]=1;
                }
            }
            arr1[num3]=1;
            for(int m=0;m<num2+1;m++)
            {
                if(arr2[m]==1)
                {
                    arr1[m]=1;
                }
            }
            if(arr1[0]==1)
            {
                ans1="YES";
                out1.print(ans1+"");
                out1.close();
                return;
            }
        }
        out1.print(ans1+"");
        out1.close();
    }
}

class OutputWriter2{
    BufferedWriter writer;

    public OutputWriter2(OutputStream stream){
        writer = new BufferedWriter(new OutputStreamWriter(stream));
    }

    public void print(int i) throws IOException {
        writer.write(i);
    }


    public void print(String s) throws IOException {
        writer.write(s);
    }

    public void print(char []c) throws IOException {
        writer.write(c);
    }
    public  void close() throws IOException {
        writer.close();
    }
}