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.

Input Format

Input is managed for you

Output Format

Output is managed for you

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

Notice

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Example

Input
5
3 5 7 9 12
3
4 6 14
Output
6.5
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