There is an integer array perm
that is a permutation of the first
n
positive integers, where n
is always odd.
It was encoded into another integer array encoded
of length n -
1
, such that encoded[i] = perm[i] XOR perm[i + 1]
. For example,
if perm = [1,3,2]
, then encoded = [2,1]
.
Given the encoded
array, return the original array
perm
. It is guaranteed that the answer exists and is unique.
Example 1:
Input: encoded = [3,1] Output: [1,2,3] Explanation: If perm = [1,2,3], then encoded = [1 XOR 2,2 XOR 3] = [3,1]
Example 2:
Input: encoded = [6,5,4,6] Output: [2,4,1,5,3]
Constraints:
3 <= n < 105
n
is odd.encoded.length == n - 1