There is a hidden integer array arr that consists of n non-negative integers.
It was encoded into another integer array encoded of length n - 1, such that encoded[i] = arr[i] XOR arr[i + 1]. For example, if arr = [1,0,2,1], then encoded = [1,2,3].
You are given the encoded array. You are also given an integer first, that is the first element of arr, i.e. arr[0].
Return the original array arr. It can be proved that the answer exists and is unique.



[ 4 XOR 2, 2 XOR 0, 0 XOR 7, 7 XOR 4 ]
4, 2
AND: 0, OR: 4(더 큰 수), XOR: