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Median of Two Sorted Arrays

Detailed guide and Python implementation for the 'Median of Two Sorted Arrays' problem.

Problem Statement

Hard

Given two sorted arrays nums1 and nums2 of size m and n respectively, return the median of the two sorted arrays.

The overall run time complexity should be O(log(m+n)).

Write a function findMedianSortedArrays(nums1: List[int], nums2: List[int]) -> float.

Constraints
  • nums1.length == m, nums2.length == n
  • 0 <= m <= 1000
  • 0 <= n <= 1000
  • 1 <= m + n <= 2000
  • -10^6 <= nums1[i], nums2[i] <= 10^6

Examples

Example 1
Input
nums1 = [1, 3], nums2 = [2]
Output
2.0
Explanation

Merged array = [1, 2, 3]. The median is 2.0.

Example 2
Input
nums1 = [1, 2], nums2 = [3, 4]
Output
2.5
Explanation

Merged array = [1, 2, 3, 4]. The median is (2 + 3) / 2 = 2.5.

Need a Hint?
Consider using Binary Search-specific data structures like sets or heaps.
Edge Cases to Watch
  • Empty input structures
  • Single element inputs
  • Large numerical bounds

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