Median of two sorted arrays

class Solution:
    def findMedianSortedArrays(self, nums1: List[int], nums2: List[int]) -> float:
        i = j = 0
        merged = []
        while i < len(nums1) and j < len(nums2):
            if nums1[i] < nums2[j]:
                merged.append(nums1[i])
                i += 1
            else:
                merged.append(nums2[j])
                j += 1
        while i < len(nums1):
            merged.append(nums1[i])
            i += 1
        while j < len(nums2):
            merged.append(nums2[j])
            j += 1
        # print(merged)
        if len(merged) % 2 == 0:
            return (merged[len(merged) // 2] + merged[len(merged) // 2 - 1]) / 2
        else:
            return merged[len(merged) // 2]

Median of Two Sorted Arrays

Difficulty: 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