4. Median of Two Sorted Arrays

 Question

https://leetcode.com/problems/median-of-two-sorted-arrays/

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.

Example 3:

Input: nums1 = [0,0], nums2 = [0,0]
Output: 0.00000

Example 4:

Input: nums1 = [], nums2 = [1]
Output: 1.00000

Example 5:

Input: nums1 = [2], nums2 = []
Output: 2.00000

 

Constraints:

• nums1.length == m
• nums2.length == n
• 0 <= m <= 1000
• 0 <= n <= 1000
• 1 <= m + n <= 2000
• -106 <= nums1[i], nums2[i] <= 106

Answer:

 

#!/usr/bin/python
class Solution(object):
    def findMedianSortedArrays(self, nums1, nums2):
        """
        :type nums1: List[int]
        :type nums2: List[int]
        :rtype: float
        """
        all = nums1 + nums2
        all_s=all.sort()
        n=len(all)
        print("n",n)
        if(not nums1):
            all=nums2*2
        if(not nums2):
            all=nums1*2
        print("all:",all)
        if(n%2):
            output=float(all[(n-1)/2])
        else:
            output=((all[n/2])+float(all[n/2-1]))/2
        return output