2503. Longest Subarray With Maximum Bitwise AND

Medium
Array
Bit Manipulation
Brainteaser

Description

You are given an integer array nums of size n.

Consider a non-empty subarray from nums that has the maximum possible bitwise AND.

  • In other words, let k be the maximum value of the bitwise AND of any subarray of nums. Then, only subarrays with a bitwise AND equal to k should be considered.

Return the length of the longest such subarray.

The bitwise AND of an array is the bitwise AND of all the numbers in it.

A subarray is a contiguous sequence of elements within an array.

 

Example 1:

Input: nums = [1,2,3,3,2,2]
Output: 2
Explanation:
The maximum possible bitwise AND of a subarray is 3.
The longest subarray with that value is [3,3], so we return 2.

Example 2:

Input: nums = [1,2,3,4]
Output: 1
Explanation:
The maximum possible bitwise AND of a subarray is 4.
The longest subarray with that value is [4], so we return 1.

 

Constraints:

  • 1 <= nums.length <= 105
  • 1 <= nums[i] <= 106

Hints

Hint 1
Notice that the bitwise AND of two different numbers will always be strictly less than the maximum of those two numbers.
Hint 2
What does that tell us about the nature of the subarray that we should choose?

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