Package g2401_2500.s2411_smallest_subarrays_with_maximum_bitwise_or

Class Solution

java.lang.Object
g2401_2500.s2411_smallest_subarrays_with_maximum_bitwise_or.Solution
public class Solution extends java.lang.Object
2411 - Smallest Subarrays With Maximum Bitwise OR.

Medium

You are given a 0-indexed array nums of length n, consisting of non-negative integers. For each index i from 0 to n - 1, you must determine the size of the minimum sized non-empty subarray of nums starting at i ( inclusive ) that has the maximum possible bitwise OR.

  • In other words, let Bij be the bitwise OR of the subarray nums[i...j]. You need to find the smallest subarray starting at i, such that bitwise OR of this subarray is equal to max(Bik) where i <= k <= n - 1.

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

Return an integer array answer of size n where answer[i] is the length of the minimum sized subarray starting at i with maximum bitwise OR.

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

Example 1:

Input: nums = [1,0,2,1,3]

Output: [3,3,2,2,1]

Explanation:

The maximum possible bitwise OR starting at any index is 3.

  • Starting at index 0, the shortest subarray that yields it is [1,0,2].

  • Starting at index 1, the shortest subarray that yields the maximum bitwise OR is [0,2,1].

  • Starting at index 2, the shortest subarray that yields the maximum bitwise OR is [2,1].

  • Starting at index 3, the shortest subarray that yields the maximum bitwise OR is [1,3].

  • Starting at index 4, the shortest subarray that yields the maximum bitwise OR is [3].

Therefore, we return [3,3,2,2,1].

Example 2:

Input: nums = [1,2]

Output: [2,1]

Explanation:

Starting at index 0, the shortest subarray that yields the maximum bitwise OR is of length 2.

Starting at index 1, the shortest subarray that yields the maximum bitwise OR is of length 1.

Therefore, we return [2,1].

Constraints:

  • n == nums.length
  • 1 <= n <= 105
  • 0 <= nums[i] <= 109

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int[]
    smallestSubarrays(int[] nums)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • smallestSubarrays

      public int[] smallestSubarrays(int[] nums)