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A10746. Arpa’s obvious problem and Mehrdad’s terrible solution

编程题 普及/提高-

题目描述

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 ![](/uploads/luogu/CF742B/80e8812f6abd24888e930488b3c56b15fb2a49a1_a1fdae371245.png), where ![](/uploads/acgo/image/d07fa3bbb569a4ef_ed6af3f11730.jpeg) is bitwise xor operation (see notes for explanation).

![](/uploads/acgo/image/0e9d8250c573b7e4_085ee5dabb62.jpeg)Immediately, Mehrdad discovered a terrible solution that nobody trusted. Now Arpa needs your help to implement the solution to that problem.

输入格式

First line contains two integers $n$ and $x$ ( $1<=n<=10^{5},0<=x<=10^{5}$ ) — the number of elements in the array and the integer $x$ .

Second line contains $n$ integers $a_{1},a_{2},...,a_{n}$ ( $1<=a_{i}<=10^{5}$ ) — the elements of the array.

输出格式

Print a single integer: the answer to the problem.

输入输出样例

输入 #1
2 3
1 2
输出 #1
1
输入 #2
6 1
5 1 2 3 4 1
输出 #2
2

说明/提示

In the first sample there is only one pair of $i=1$ and $j=2$ . ![](/uploads/acgo/image/52f7257c2eb73e7c_c609483aa1f1.jpeg) so the answer is $1$ .

In the second sample the only two pairs are $i=3$ , $j=4$ (since ![](/uploads/luogu/CF742B/360a9ab048a3005f1d532cfb7c78e96ffd10455b_6b7c4003dccf.png)) and $i=1$ , $j=5$ (since ![](/uploads/acgo/image/83837ea1a568232e_b48ee42c60e3.jpeg)).

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](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
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