README.md

1720. Decode XORed Array

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

Solutions (Ruby)

1. Solution

# @param {Integer[]} encoded
# @param {Integer} first
# @return {Integer[]}
def decode(encoded, first)
  ret = [first]

  encoded.each do |n|
    first ^= n
    ret.push(first)
  end

  ret
end

Solutions (Rust)

1. Solution

impl Solution {
    pub fn decode(encoded: Vec<i32>, mut first: i32) -> Vec<i32> {
        let mut ret = vec![first];

        for n in encoded {
            first ^= n;
            ret.push(first);
        }

        ret
    }
}