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Learn Data Structures and Algorithms in JavaScript

Problem: Median of Two Sorted Arrays

Explore how to find the median of two sorted arrays by applying binary search on the smaller array to identify the correct partition. Understand the process to achieve O(log(min(m, n))) time complexity without merging arrays. This lesson helps you implement an optimal solution and grasp partitioning techniques for median calculation in sorted datasets.

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Statement

You are given two sorted arrays, nums1 of size m and nums2 of size n. Your task is to find and return the median of the combined elements from both arrays.

Note: The expected overall runtime complexity of your solution should be O(log⁡(m+n))O(\log(m + n)).

Constraints:

  • nums1.length $== $ m

  • nums2.length $== $ n

  • 0≤0 \leq m ≤1000\leq 1000

  • 0≤0 \leq n ≤1000\leq 1000

  • 1≤1 \leq m ++ n ≤2000\leq 2000

  • ...