Learn how to use k-way merge for efficient data merging and finding k-th small elements.

Coding

The K-Way Merge pattern is an algorithmic strategy used to efficiently combine multiple sorted sequences into a single sorted result. By using a min-heap or priority queue to track the smallest elements among k sources, it ensures optimal merging performance across arrays, lists, or data streams.

K-way Merge

Efficiently prepare for coding interviews with strategies from FAANG engineers. Avoid the LeetCode grind and simplify your interview prep with real-world questions from top companies.

The ultimate guide to the System Design Interview – developed by Meta & Google engineers. Master distributed system fundamentals, and practice with real-world interview questions & mock interviews.

System Design

The essential guide to API Design & Product Design Interviews – developed by FAANG engineers. Master product design fundamentals & get hands-on with real-world APIs.

API Design

A battle-tested guide to Object Oriented Design Interviews – developed by FAANG engineers. Master OOD fundamentals & practice real-world interview questions.

Low Level Design Interview Using OOD Principles

Your essential EM Interview crash course. Learn strategies from FAANG hiring managers to demonstrate your leadership skills & experience to interviewers.

Engineering Management and Leadership Interviews

The ultimate guide to behavioral interviews. Developed by FAANG engineers. Use real-world questions, video recording, and structured strategies to get interview-ready in just a few hours.

Behavioral

# Statement

Find the $k^{th}$ smallest element in an $(n \times n)$ matrix, where each row and column of the matrix is sorted in ascending order.

Although there can be repeating values in the matrix, each element is considered unique and, therefore, contributes to calculating the $k^{th}$ smallest element.

**Constraints:**

* `n` $==$ `matrix.length`
* `n` $==$ `matrix[i].length`
* $1\leq$ `n` $\leq100$
* $-10^3\leq$ `matrix[i][j]` $\leq10^3$
* $1\leq$ `k` $\leq n^2$

Let's solve the Kth Smallest Element in a Sorted Matrix problem using the K-Way Merge pattern.

Solution: Kth Smallest Element in a Sorted Matrix

Statement▼

Solution: Kth Smallest Element in a Sorted Matrix

Statement▼