4. Median of Two Sorted Arrays

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)).

Example 1:

Input: nums1 = [1,3], nums2 = [2]
Output:
 2.00000
Explanation:
 merged array = [1,2,3] and median is 2.

Example 2:

Input: nums1 = [1,2], nums2 = [3,4]
Output:
 2.50000
Explanation:
 merged array = [1,2,3,4] and median is (2 + 3) / 2 = 2.5.

Constraints:

  • nums1.length == m

  • nums2.length == n

  • 0 <= m <= 1000

  • 0 <= n <= 1000

  • 1 <= m + n <= 2000

  • -106 <= nums1[i], nums2[i] <= 106

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