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Pairs With Given Xor


Problem Description

Given an 1D integer array A containing N distinct integers.

Find the number of unique pairs of integers in the array whose XOR is equal to B.

NOTE:

  • Pair (a, b) and (b, a) is considered to be same and should be counted once.



Problem Constraints

1 <= N <= 105

1 <= A[i], B <= 107



Input Format

First argument is an 1D integer array A.

Second argument is an integer B.



Output Format

Return a single integer denoting the number of unique pairs of integers in the array A whose XOR is equal to B.



Example Input

Input 1:

 A = [5, 4, 10, 15, 7, 6]
 B = 5

Input 2:

 A = [3, 6, 8, 10, 15, 50]
 B = 5



Example Output

Output 1:

 1

Output 2:

 2



Example Explanation

Explanation 1:

 (10 ^ 15) = 5

Explanation 2:

 (3 ^ 6) = 5 and (10 ^ 15) = 5 



NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.
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