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Learn Data Structures and Algorithms in Java

Problem: Median of Two Sorted Arrays

Explore how to find the median of two sorted arrays without merging them by applying binary search on the smaller array. Understand the partitioning strategy to achieve an efficient O(log(min(m,n))) solution that handles edge cases and runs with constant space.

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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

  • ...