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Solve Running Median of K Elements using Ruby Language

Solve Running Median of K Elements using Ruby to enhance your skills with ruby coding practice , master coding concepts, and prepare for interviews with practical exercises and detailed solutions.

Running Median of K Elements

Difficulty : Hard

Categories :

  • Arrays

Given an array of integers and a positive integer K, return an array of K integers where each element represents the median of all previous elements including itself. For an odd number of integers, the median is the middle element after sorting. For an even number of integers, the median is the average of the two middle elements after sorting (round down to nearest integer).

Constraints:

  • K ≤ arr.length ≤ 10⁵
  • 1 ≤ K ≤ 10⁴
  • -10⁶ ≤ arr[i] ≤ 10⁶
  • The solution should run in O(K log K) time

Examples:

Input: arr = [1,4,3,2,6,5,8,7], K = 4
Output: [1,2,3,2]
Explanation:
First element: median of [1] is 1
Second element: median of [1,4] is 2
Third element: median of [1,4,3] is 3
Fourth element: median of [1,4,3,2] is 2
Input: arr = [5,2,8,1,9], K = 3
Output: [5,3,5]
Explanation:
First element: median of [5] is 5
Second element: median of [5,2] is 3
Third element: median of [5,2,8] is 5

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Choose from the following categories

Strings A sequence of characters used to represent text, with problems focused on manipulation, searching, and pattern matching.

Arrays A collection of elements stored in contiguous memory locations, allowing efficient random access and manipulation.

Linked Lists A linear data structure where each element (node) points to the next, offering dynamic memory allocation and efficient insertions/deletions.

Trees A hierarchical data structure with nodes connected by edges, used in applications like databases, file systems, and parsing.

Graphs A collection of nodes (vertices) connected by edges, representing relationships, widely used in networking, routing, and social networks.

Dynamic Programming An optimization technique that solves problems by breaking them into overlapping subproblems and storing their results.

Backtracking A problem-solving method that explores all possibilities recursively, backtracking when a solution is not feasible.

Sorting Algorithms Techniques for arranging elements in a specific order, such as quicksort, mergesort, and bubble sort, essential for data organization.

Searching Algorithms Methods for finding elements in a dataset, such as binary search, linear search, and graph traversal techniques.

Mathematics A field of study involving numbers, calculations, and logical reasoning, forming the foundation for algorithms and problem-solving.

Recursion A programming technique where a function calls itself to solve smaller instances of the same problem, often used in divide-and-conquer approaches.

Bit Manipulation Operations performed directly on binary representations of data, used for efficient computations and optimization tasks.