Find XOR Sum of All Pairs Bitwise AND — LeetCode 1835 Python Solution

HardBit ManipulationArrayMath
Problem
#1835
Reading time
2 min

The problem

The XOR sum of a list is the bitwise XOR of all its elements. If the list only contains one element, then its XOR sum will be equal to this element.

Example

Input
arr1 = [1,2,3], arr2 = [6,5]
Output
0
Explanation
The list = [1 AND 6, 1 AND 5, 2 AND 6, 2 AND 5, 3 AND 6, 3 AND 5] = [0,1,2,0,2,1].

Python solution

Python
class Solution:
    def getXORSum(self, arr1: List[int], arr2: List[int]) -> int:
        a = reduce(xor, arr1)
        b = reduce(xor, arr2)
        return a & b

Complexity

MeasureComplexity
TimeO(n + m), where n and m are the lengths of arrays arr1 and arr2, respectively
SpaceO(1) auxiliary

Pattern: Bit Manipulation

Use XOR, masks and the low-bit trick to replace whole data structures with an integer. LeetCode 1835. Find XOR Sum of All Pairs Bitwise AND is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Bit Manipulation.

The bit manipulation guide has the Python template for the pattern and the 194 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 1835. Find XOR Sum of All Pairs Bitwise AND?
LeetCode 1835. Find XOR Sum of All Pairs Bitwise AND is rated Hard on LeetCode.
What is the time complexity of LeetCode 1835. Find XOR Sum of All Pairs Bitwise AND?
The Python solution on this page runs in O(n + m), where n and m are the lengths of arrays arr1 and arr2, respectively.
What is the space complexity of LeetCode 1835. Find XOR Sum of All Pairs Bitwise AND?
The Python solution on this page uses O(1) auxiliary space.
What topics does LeetCode 1835. Find XOR Sum of All Pairs Bitwise AND cover?
LeetCode 1835. Find XOR Sum of All Pairs Bitwise AND is tagged Bit Manipulation, Array and Math on LeetCode.

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