You are given an integer array nums and a positive integer k.

The value of a sequence seq of size 2 * x is defined as:

Return the maximum value of any subsequence of nums having size 2 * k.

 

Example 1:

Input: nums = [2,6,7], k = 1

Output: 5

Explanation:

The subsequence [2, 7] has the maximum value of 2 XOR 7 = 5.

Example 2:

Input: nums = [4,2,5,6,7], k = 2

Output: 2

Explanation:

The subsequence [4, 5, 6, 7] has the maximum value of (4 OR 5) XOR (6 OR 7) = 2.

 

Constraints: