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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
Table of Contents

Solution 1:

def findMedianSortedArrays(self, nums1: List[int], nums2: List[int]) -> float:
	nums = nums1 + nums2
	nums = sorted(nums)
	nums_len = len(nums)
	if nums_len % 2 == 1:
		return nums[int(nums_len/2)]
	else:
		return (nums[math.floor(nums_len/2)] + nums[math.floor(nums_len/2) - 1]) / 2