308422: CF1516B. AGAGA XOOORRR

Memory Limit:256 MB Time Limit:1 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

Description

AGAGA XOOORRR

题意翻译

给定一个 $n$ 长度的数组 $a$ ,可以进行操作: 将数组相邻的两个元素删除,并在原来的位置插入这两个元素的异或和。 求在最多删除 $n-2$ 个元素(即至少剩余 $2$ 个元素)的情况下能否使数组所有元素相等。

题目描述

Baby Ehab is known for his love for a certain operation. He has an array $ a $ of length $ n $ , and he decided to keep doing the following operation on it: - he picks $ 2 $ adjacent elements; he then removes them and places a single integer in their place: their [bitwise XOR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR). Note that the length of the array decreases by one. Now he asks you if he can make all elements of the array equal. Since babies like to make your life harder, he requires that you leave at least $ 2 $ elements remaining.

输入输出格式

输入格式


The first line contains an integer $ t $ ( $ 1 \le t \le 15 $ ) — the number of test cases you need to solve. The first line of each test case contains an integers $ n $ ( $ 2 \le n \le 2000 $ ) — the number of elements in the array $ a $ . The second line contains $ n $ space-separated integers $ a_1 $ , $ a_2 $ , $ \ldots $ , $ a_{n} $ ( $ 0 \le a_i < 2^{30} $ ) — the elements of the array $ a $ .

输出格式


If Baby Ehab can make all elements equal while leaving at least $ 2 $ elements standing, print "YES". Otherwise, print "NO".

输入输出样例

输入样例 #1

2
3
0 2 2
4
2 3 1 10

输出样例 #1

YES
NO

说明

In the first sample, he can remove the first $ 2 $ elements, $ 0 $ and $ 2 $ , and replace them by $ 0 \oplus 2=2 $ . The array will be $ [2,2] $ , so all the elements are equal. In the second sample, there's no way to make all the elements equal.

Input

题意翻译

给定一个 $n$ 长度的数组 $a$ ,可以进行操作: 将数组相邻的两个元素删除,并在原来的位置插入这两个元素的异或和。 求在最多删除 $n-2$ 个元素(即至少剩余 $2$ 个元素)的情况下能否使数组所有元素相等。

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