LeetCode 810: Chalkboard XOR Game Solution

Master LeetCode problem 810 (Chalkboard XOR Game), a hard challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

810. Chalkboard XOR Game

Hard

Array Math Bit Manipulation Brainteaser Game Theory

Problem Explanation

Explanation:

To determine if Alice can win the game, we need to understand the winning strategy. If the XOR of all elements in the array is 0, then Alice will win. Otherwise, Alice will lose as Bob can always make the XOR of the remaining elements become 0 on his turn.

To check if the XOR of all elements is 0, we count the number of non-zero elements in the array. If the count is odd, Alice wins; otherwise, Bob wins.

: :

Solution Code

class Solution {
    public boolean xorGame(int[] nums) {
        int xor = 0;
        for (int num : nums) {
            xor ^= num;
        }
        return xor == 0 || nums.length % 2 == 0;
    }
}

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