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Description

Solutions

Find Median of Subarray Uniqueness 🥑

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In an Amazon coding marathon, the following challenge was given.

The uniqueness of an array of integers is defined as the number of distinct elements present. For example, the uniqueness of [1, 5, 2, 1, 3, 5] is 4, element values 1, 2, 3, and 5. For an array arr of n integers, the uniqueness values of its subarrays is generated and stored in another array, call it subarray_uniqueness for discussion. Find the median of the generated array subarray_uniqueness.

Notes:

The median of a list is defined as the middle value of the list when it is sorted in non-decreasing order. If there are multiple choices for median, the smaller of the two values is taken. For example, the median of [1, 5, 8] is 5, and of [2, 3, 7, 11] is 3.

A subarray is a contiguous part of the array. For example, [1, 2, 3] is a subarray of [6, 1, 2, 3, 5] but [6, 2] is not.

Function Description

Complete the function findMedianOfSubarrayUniqueness in the editor.

findMedianOfSubarrayUniqueness has the following parameter:

int arr[n]: the array

Returns

int: the median of the generated array subarray_uniqueness

Constraints

1 ≤ n ≤ 10^5
1 ≤ arr[i] ≤ n

Example 1:

Input:  arr = [1, 1]
Output: 1 
Explanation:

The subarrays along with their uniqueness values are:
   
        [1]: uniqueness = 1
        [1, 1]: uniqueness = 1
        [1]: uniqueness = 1
   
subarray_uniqueness is [1, 1, 1].

Example 2:

Input:  arr = [1, 2, 3]
Output: 1 
Explanation:
Given n = 3 and arr = [1, 2, 3], the subarrays along with their uniqueness values are:

        [1]: uniqueness = 1
        [1, 2]: uniqueness = 2
        [1, 2, 3]: uniqueness = 3
        [2]: uniqueness = 1
        [2, 3]: uniqueness = 2
        [3]: uniqueness = 1
     
  subarray_uniqueness is [1, 2, 3, 1, 2, 1], and after sorting it is [1, 1, 1, 2, 2, 3].

Example 3:

Input:  arr = [1, 2, 1]
Output: 1 
Explanation:
The subarrays with their uniqueness values are:

[1]: uniqueness = 1
[1, 2]: uniqueness = 2
[1, 2, 1]: uniqueness = 2
[2]: uniqueness = 1
[2, 1]: uniqueness = 2
[1]: uniqueness = 1

The subarray_uniqueness array is [1, 2, 2, 1, 2, 1]. After sorting, the arr is [1, 1, 1, 2, 2, 2]. The choice is between the two bold values. Return the min of the two, 1.

[1]: uniqueness = 1

Constraints:

N/A