Longest Nice Subarray — LeetCode 2401 Python Solution

MediumBit ManipulationArraySliding Window
Problem
#2401
Reading time
2 min

The problem

You are given an array nums consisting of positive integers. We call a subarray of nums nice if the bitwise AND of every pair of elements that are in different positions in the subarray is equal to 0.

Example

Input
nums = [1,3,8,48,10]
Output
3
Explanation
The longest nice subarray is [3,8,48]. This subarray satisfies the conditions:

Python solution

Python
class Solution:
    def longestNiceSubarray(self, nums: List[int]) -> int:
        ans = mask = l = 0
        for r, x in enumerate(nums):
            while mask & x:
                mask ^= nums[l]
                l += 1
            mask |= x
            ans = max(ans, r - l + 1)
        return ans

Complexity

MeasureComplexity
TimeO(n), where n is the length of the array \textit{nums}
SpaceO(1) auxiliary

Pattern: Sliding Window

Collapse a nested loop over every subarray into a single pass with two indices. LeetCode 2401. Longest Nice Subarray is filed here because LeetCode tags it Sliding Window, which is the vocabulary this hub collects.

The sliding window guide has the Python template for the pattern and the 116 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 2401. Longest Nice Subarray?
LeetCode 2401. Longest Nice Subarray is rated Medium on LeetCode.
What is the time complexity of LeetCode 2401. Longest Nice Subarray?
The Python solution on this page runs in O(n), where n is the length of the array \textit{nums}.
What is the space complexity of LeetCode 2401. Longest Nice Subarray?
The Python solution on this page uses O(1) auxiliary space.
What topics does LeetCode 2401. Longest Nice Subarray cover?
LeetCode 2401. Longest Nice Subarray is tagged Bit Manipulation, Array and Sliding Window on LeetCode.

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