Package g2601_2700.s2683_neighboring_bitwise_xor

Class Solution

java.lang.Object
g2601_2700.s2683_neighboring_bitwise_xor.Solution
public class Solution extends java.lang.Object
2683 - Neighboring Bitwise XOR.

Medium

A 0-indexed array derived with length n is derived by computing the bitwise XOR (\u2295) of adjacent values in a binary array original of length n.

Specifically, for each index i in the range [0, n - 1]:

  • If i = n - 1, then derived[i] = original[i] \u2295 original[0].
  • Otherwise, derived[i] = original[i] \u2295 original[i + 1].

Given an array derived, your task is to determine whether there exists a valid binary array original that could have formed derived.

Return true if such an array exists or false otherwise.

  • A binary array is an array containing only 0’s and 1’s

Example 1:

Input: derived = [1,1,0]

Output: true

Explanation: A valid original array that gives derived is [0,1,0].

derived[0] = original[0] \u2295 original[1] = 0 \u2295 1 = 1

derived[1] = original[1] \u2295 original[2] = 1 \u2295 0 = 1

derived[2] = original[2] \u2295 original[0] = 0 \u2295 0 = 0

Example 2:

Input: derived = [1,1]

Output: true

Explanation: A valid original array that gives derived is [0,1].

derived[0] = original[0] \u2295 original[1] = 1

derived[1] = original[1] \u2295 original[0] = 1

Example 3:

Input: derived = [1,0]

Output: false

Explanation: There is no valid original array that gives derived.

Constraints:

  • n == derived.length
  • 1 <= n <= 105
  • The values in derived are either 0’s or 1’s

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    boolean
    doesValidArrayExist(int[] derived)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • doesValidArrayExist

      public boolean doesValidArrayExist(int[] derived)