Is Find the Maximum Sequence Value of Array easy or hard?

Find the Maximum Sequence Value of Array is classified as a Hard problem. The difficulty comes from understanding how bitwise contributions interact across elements and designing an efficient greedy or dynamic approach rather than brute-force enumeration.

Find the Maximum Sequence Value of Array Python/Java solution

The algorithm translates directly across languages. Python, Java, C++, and JavaScript implementations use the same core idea: iterate through the array, update the running bitwise value with OR/XOR operations, and maintain the best sequence through greedy or partition-based logic.

How to solve Find the Maximum Sequence Value of Array in O(n)?

Use a sliding window that maintains the current sequence and its running bitwise value. As you iterate through the array, include elements that improve the sequence value and remove elements that reduce the optimal result. Each update relies on constant‑time bitwise operations, keeping the overall runtime linear.

What is the best approach for Find the Maximum Sequence Value of Array?

The most efficient solution uses a greedy strategy combined with a sliding window to maintain the best sequence while scanning the array. By updating the running bitwise value incrementally, the algorithm processes each element at most twice and achieves O(n) time complexity with constant extra space.

Is Find the Maximum Sequence Value of Array asked at Google/Amazon/Meta?

Hard array and bit manipulation problems similar to this frequently appear in interviews at large tech companies including Google, Amazon, and Meta. These companies test the ability to combine greedy reasoning, dynamic state tracking, and efficient bit operations.

What data structure is used in Find the Maximum Sequence Value of Array?

The problem mainly relies on arrays and bitwise operations. Optimized solutions maintain a sliding window or dynamic state representing the current sequence value, avoiding heavy auxiliary data structures.

What is the time complexity of Find the Maximum Sequence Value of Array?

The optimal approach runs in O(n) time using a greedy sliding window technique. A simpler alternative sorts the array and evaluates candidate partitions, which takes O(n log n) time due to the sorting step. Space complexity is typically O(1) aside from the input array.

Description Hints 1 Solution Video 52:04

3287. Find the Maximum Sequence Value of Array

Hard21.9% acceptance1 company

You are given an integer array nums and a positive integer k.

The value of a sequence seq of size 2 * x is defined as:

(seq[0] OR seq[1] OR ... OR seq[x - 1]) XOR (seq[x] OR seq[x + 1] OR ... OR seq[2 * x - 1]).

Return the maximum value of any subsequence of nums having size 2 * k.

Example 1:

Input: nums = [2,6,7], k = 1

Output: 5

Explanation:

The subsequence [2, 7] has the maximum value of 2 XOR 7 = 5.

Example 2:

Input: nums = [4,2,5,6,7], k = 2

Output: 2

Explanation:

The subsequence [4, 5, 6, 7] has the maximum value of (4 OR 5) XOR (6 OR 7) = 2.

Constraints:

2 <= nums.length <= 400
1 <= nums[i] < 2⁷
1 <= k <= nums.length / 2

Asked at 1 company

Google

Topics

Hints open one at a time

Hint 1

Find all the possible OR till each i with k elements backward and forward.

52:04

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