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.
Example 1:
Input: encoded = [1,2,3], first = 1 Output: [1,0,2,1] Explanation: If arr = [1,0,2,1], then first = 1 and encoded = [1 XOR 0, 0 XOR 2, 2 XOR 1] = [1,2,3]
Example 2:
Input: encoded = [6,2,7,3], first = 4 Output: [4,2,0,7,4]
Constraints:
2 <= n <= 104
encoded.length == n - 1
0 <= encoded[i] <= 105
0 <= first <= 105