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Subarray with given XOR


Problem Description

Given an array of integers A and an integer B.

Find the total number of subarrays having bitwise XOR of all elements equals to B.



Problem Constraints

1 <= length of the array <= 105

1 <= A[i], B <= 109



Input Format

The first argument given is the integer array A.
The second argument given is integer B.



Output Format

Return the total number of subarrays having bitwise XOR equals to B.



Example Input

Input 1:

 A = [4, 2, 2, 6, 4]
 B = 6

Input 2:

 A = [5, 6, 7, 8, 9]
 B = 5



Example Output

Output 1:

 4

Output 2:

 2



Example Explanation

Explanation 1:

 The subarrays having XOR of their elements as 6 are:
 [4, 2], [4, 2, 2, 6, 4], [2, 2, 6], [6]

Explanation 2:

 The subarrays having XOR of their elements as 2 are [5] and [5, 6, 7, 8, 9]



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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