Package g3101_3200.s3134_find_the_median_of_the_uniqueness_array

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    3134 - Find the Median of the Uniqueness Array.

    Hard

    You are given an integer array nums. The uniqueness array of nums is the sorted array that contains the number of distinct elements of all the subarrays of nums. In other words, it is a sorted array consisting of distinct(nums[i..j]), for all 0 <= i <= j < nums.length.

    Here, distinct(nums[i..j]) denotes the number of distinct elements in the subarray that starts at index i and ends at index j.

    Return the median of the uniqueness array of nums.

    Note that the median of an array is defined as the middle element of the array when it is sorted in non-decreasing order. If there are two choices for a median, the smaller of the two values is taken.

    Example 1:

    Input: nums = 1,2,3

    Output: 1

    Explanation:

    The uniqueness array of nums is [distinct(nums[0..0]), distinct(nums[1..1]), distinct(nums[2..2]), distinct(nums[0..1]), distinct(nums[1..2]), distinct(nums[0..2])] which is equal to [1, 1, 1, 2, 2, 3]. The uniqueness array has a median of 1. Therefore, the answer is 1.

    Example 2:

    Input: nums = 3,4,3,4,5

    Output: 2

    Explanation:

    The uniqueness array of nums is [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3]. The uniqueness array has a median of 2. Therefore, the answer is 2.

    Example 3:

    Input: nums = 4,3,5,4

    Output: 2

    Explanation:

    The uniqueness array of nums is [1, 1, 1, 1, 2, 2, 2, 3, 3, 3]. The uniqueness array has a median of 2. Therefore, the answer is 2.

    Constraints:

    • <code>1 <= nums.length <= 10<sup>5</sup></code>

    • <code>1 <= numsi<= 10<sup>5</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 Integer medianOfUniquenessArray(IntArray nums)

      • Methods inherited from class java.lang.Object

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