There are some beautiful girls in Arpa’s land as mentioned before.

Once Arpa came up with an obvious problem:

Given an array and a number x, count the number of pairs of indices i, j (1 ≤ i < j ≤ n) such that <image>, where <image> is bitwise xor operation (see notes for explanation).

<image>

Immediately, Mehrdad discovered a terrible solution that nobody trusted. Now Arpa needs your help to implement the solution to that problem.

Input

First line contains two integers n and x (1 ≤ n ≤ 105, 0 ≤ x ≤ 105) — the number of elements in the array and the integer x.

Second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 105) — the elements of the array.

Output

Print a single integer: the answer to the problem.

Examples

Input

2 3
1 2


Output

1

Input

6 1
5 1 2 3 4 1


Output

2

Note

In the first sample there is only one pair of i = 1 and j = 2. <image> so the answer is 1.

In the second sample the only two pairs are i = 3, j = 4 (since <image>) and i = 1, j = 5 (since <image>).

A bitwise xor takes two bit integers of equal length and performs the logical xor operation on each pair of corresponding bits. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1. You can read more about bitwise xor operation here: <https://en.wikipedia.org/wiki/Bitwise_operation#XOR>.
/**
 * DA-IICT
 * Author : Savaliya Sagar.
 */

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

public class B742 {
    public static int mod = 1000000007;
    static FasterScanner in = new FasterScanner();
    static PrintWriter o = new PrintWriter(System.out);

    public static void main(String[] args) {

        int n = in.nextInt();
        int x = in.nextInt();
        int a[] = new int[1000005];
        int b[] = new int[n];
        for(int i=0;i<n;i++){
            int t = in.nextInt();
            a[t]++;
            b[i] = t;
        }
       // o.print(Arrays.toString(a));
        long ans = 0;
        int v[] = new int[1000005];
        for(int i=0;i<n;i++){
            int ele = b[i]^x;
            if(v[b[i]]==-1)
                continue;
            v[ele]=-1;
            if(ele==b[i]){
                ans += (a[ele]*(a[ele]-1L))/2;
            }else
                ans += a[ele];
        }
        o.print(ans);
        o.close();
    }


    public static long gcd(long n1, long n2) {
        long r;
        while (n2 != 0) {
            r = n1 % n2;
            n1 = n2;
            n2 = r;
        }
        return n1;
    }

    public static long pow(long x, long n, long mod) {
        long res = 1;
        x %= mod;
        while (n > 0) {
            if (n % 2 == 1) {
                res = (res * x) % mod;
            }
            x = (x * x) % mod;
            n /= 2;
        }
        return res;
    }

    static class FasterScanner {
        private byte[] buf = new byte[1024];
        private int curChar;
        private int snumChars;

        public int read() {
            if (snumChars == -1)
                throw new InputMismatchException();
            if (curChar >= snumChars) {
                curChar = 0;
                try {
                    snumChars = System.in.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (snumChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public String nextLine() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isEndOfLine(c));
            return res.toString();
        }

        public String nextString() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        public long nextLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public int nextInt() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public int[] nextIntArray(int n, int f) {
            if (f == 0) {
                int[] arr = new int[n];
                for (int i = 0; i < n; i++) {
                    arr[i] = nextInt();
                }
                return arr;
            } else {
                int[] arr = new int[n + 1];
                for (int i = 1; i < n + 1; i++) {
                    arr[i] = nextInt();
                }
                return arr;
            }
        }

        public long[] nextLongArray(int n, int f) {
            if (f == 0) {
                long[] arr = new long[n];
                for (int i = 0; i < n; i++) {
                    arr[i] = nextLong();
                }
                return arr;
            } else {
                long[] arr = new long[n + 1];
                for (int i = 1; i < n + 1; i++) {
                    arr[i] = nextLong();
                }
                return arr;
            }
        }

        private boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        private boolean isEndOfLine(int c) {
            return c == '\n' || c == '\r' || c == -1;
        }
    }
}
