Package g2401_2500.s2411_smallest_subarrays_with_maximum_bitwise_or

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    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 <code>B<sub>ij</sub></code> 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 <code>max(B<sub>ik</sub>)</code> where i &lt;= k &lt;= 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

    • <code>1 <= n <= 10<sup>5</sup></code>

    • <code>0 <= numsi<= 10<sup>9</sup></code>

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final IntArray smallestSubarrays(IntArray nums)

      • Methods inherited from class java.lang.Object

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