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Learn Data Structures and Algorithms in C++

Problem: Median of Two Sorted Arrays

Understand how to find the median of two sorted arrays by applying binary search on the smaller array to identify the correct partition. Explore how this approach achieves optimal logarithmic time complexity without merging arrays. Learn to handle edge cases and compute the median for both even and odd total lengths.

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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

  • ...