LeetCode 1835: Find XOR Sum of All Pairs Bitwise AND Solution

Master LeetCode problem 1835 (Find XOR Sum of All Pairs Bitwise AND), 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.

1835. Find XOR Sum of All Pairs Bitwise AND

Hard

Array Math Bit Manipulation

Problem Explanation

Explanation

To solve this problem, we can use the properties of XOR and bitwise AND operations. We need to find the bitwise AND of all pairs of elements from arr1 and arr2, and then calculate the XOR sum of those results.

The key idea is to observe that for any two numbers a and b, the XOR sum of their bitwise ANDs is the same as the bitwise AND of their XORs, i.e., a & b = (a ^ b) & b.

Therefore, we can iterate through each pair of elements from arr1 and arr2, calculate the XOR of the pair, and then bitwise AND it with the second element of the pair. Finally, we calculate the XOR sum of all these results.

Solution Code

class Solution {
    public int getXORSum(int[] arr1, int[] arr2) {
        int xorArr1 = 0;
        for (int num : arr1) {
            xorArr1 ^= num;
        }
        
        int xorArr2 = 0;
        for (int num : arr2) {
            xorArr2 ^= num;
        }
        
        return xorArr1 & xorArr2;
    }
}

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