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Problem: Median of Two Sorted Arrays

Explore how to apply binary search to find the median in two sorted arrays without merging them. Understand partitioning techniques and optimize your solution for logarithmic time complexity, improving performance in searching algorithms.

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

  • 00 \leq m 1000\leq 1000

  • 00 \leq n 1000\leq 1000

  • 11 \leq m ++ n 2000\leq 2000

  • ...