677. Maximize XOR

0

Easy

Given an array of N numbers, you need to select K elements from the array in order to maximize the XOR of all the chosen elements.

Input Format

The first line of input consists of two integers N and K, separated by a space.
The second line of input consists of N space-separated integers.

Output Format

Print the maximum XOR.

Example

Input

5 3 1 2 3 4 5

Output

7

Constraints

1<=n<=20
1<=k<=n
1<= nums[i] <=10000
Loading...

View Submissions

Console