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Find Subarray With Bitwise OR Closest to K

You are given an array nums and an integer k.

You are given an array nums and an integer k. You need to find a subarray of nums such that the absolute difference between k and the bitwise OR of the subarray elements is as small as possible. In other words, select a subarray nums[l..r] such that |k - (nums[l] OR nums[l + 1] ... OR nums[r])| is minimum.

Return the minimum possible value of the absolute difference.

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

Find Subarray With Bitwise OR Closest to K diagram

Example 1

Input: nums = [1,2,4,5], k = 3

Output: 0

Explanation: The subarray nums[0..1] has OR value 3, which gives the minimum absolute difference |3 - 3| = 0 .

Example 2

Input: nums = [1,3,1,3], k = 2

Output: 1

Explanation: The subarray nums[1..1] has OR value 3, which gives the minimum absolute difference |3 - 2| = 1 .

Example 3

Input: nums = [1], k = 10

Output: 9

Explanation: There is a single subarray with OR value 1, which gives the minimum absolute difference |10 - 1| = 9 .

Constraints

  • 1 <= nums.length <= 10^5
  • 1 <= nums[i] <= 10^9
  • 1 <= k <= 10^9

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