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:
1 <= nums.length <= 105
1 <= nums[i] <= 109
public class Solution {
public int xorBeauty(int[] arr) {
int i = 1;
while (i < arr.length) {
arr[0] ^= arr[i];
i++;
}
return arr[0];
}
}