2527 - Find Xor-Beauty of Array\.

Medium

You are given a 0-indexed integer array nums.

The effective value of three indices i, j, and k is defined as ((nums[i] | nums[j]) & nums[k]).

The xor-beauty of the array is the XORing of the effective values of all the possible triplets of indices (i, j, k) where 0 <= i, j, k < n.

Return the xor-beauty of nums.

Note that:

• val1 | val2 is bitwise OR of val1 and val2.

• val1 & val2 is bitwise AND of val1 and val2.

Example 1:

Input: nums = 1,4

Output: 5

Explanation:

The triplets and their corresponding effective values are listed below:

• (0,0,0) with effective value ((1 | 1) & 1) = 1

• (0,0,1) with effective value ((1 | 1) & 4) = 0

• (0,1,0) with effective value ((1 | 4) & 1) = 1

• (0,1,1) with effective value ((1 | 4) & 4) = 4

• (1,0,0) with effective value ((4 | 1) & 1) = 1

• (1,0,1) with effective value ((4 | 1) & 4) = 4

• (1,1,0) with effective value ((4 | 4) & 1) = 0

• (1,1,1) with effective value ((4 | 4) & 4) = 4

Xor-beauty of array will be bitwise XOR of all beauties = 1 ^ 0 ^ 1 ^ 4 ^ 1 ^ 4 ^ 0 ^ 4 = 5.

Example 2:

Input: nums = 15,45,20,2,34,35,5,44,32,30

Output: 34

Explanation: The xor-beauty of the given array is 34.

Constraints:

• <code>1 <= nums.length <= 10⁵</code>

• <code>1 <= numsi<= 10⁹</code>