# Decode XORed Array

In this lab, you will be working with a **hidden** integer array `arr`

consisting of `n`

non-negative integers. This array has been encoded into another integer array named `encoded`

with a length of `n - 1`

, such that `encoded[i] = arr[i] XOR arr[i + 1]`

. For instance, if `arr = [1,0,2,1]`

, then `encoded = [1,2,3]`

.

Your objective is to return the original array `arr`

based on the given `encoded`

array. You will also be provided an integer `first`

, which is the first element of `arr`

, i.e., `arr[0]`

. It can be proven that the answer exists and is unique.

## Examples

**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`

## Challenges

- Implement the
`decode`

function that takes the`encoded`

array and the`first`

integer as inputs and returns the original array`arr`

. - Export the
`decode`

function so it can be imported in the evaluation script. - Make sure your code is free of syntax and logical errors.

For the challenges above, you need to export the required variables and functions so that they can be tested in the evaluation script.

Good luck!