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#F1003. Arpa’s obvious problem and Mehrdad’s terrible solution

    ID: 1009 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 4 上传者: 标签>枚举数学数论算法思想进阶难度共享题库Codeforces英文题面题目来源题面语言

Arpa’s obvious problem and Mehrdad’s terrible solution

题目描述

B. Arpa’s obvious problem and Mehrdad’s terrible solution
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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<jn) such that , where is bitwise xor operation (see notes for explanation).

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. so the answer is 1.

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

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.


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 451 题。保留原作者与原赛事署名。