1720. Decode XORed Array
Easy
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
利用 XOR 的性質來解題, a ^ b = c,則 a ^ c = b。
func decode(encoded []int, first int) []int {
res := make([]int, 0)
res = append(res, first)
res = append(res, encoded...)
for i:=1; i<len(res); i++ {
res[i] = res[i] ^ res[i-1]
}
return res
}