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Leetcode 算法 -4. Median of Two Sorted Arrays

问题链接: 4. Median of Two Sorted Arrays


问题描述: There are two sorted arrays nums1 and nums2 of size m and n respectively.
Find the median of the two sorted arrays. The overall run time complexity should be O(log (m+n)).

Example 1:

python
 
nums1 = [1, 3]
nums2 = [2]

The median is 2.0

Example 2:

python
 
nums1 = [1, 2]
nums2 = [3, 4]

The median is (2 + 3)/2 = 2.5

使用语言: Python

解题思路: 先把列表碾平 , 由于两个列表元素类型相同直接相加即可. 然后排序. 计算中间位置, 可以通过判断奇偶数来分别处理开始index和结束index. 如果长度为奇数则直接返回最中间的, 如果为偶数则返回一个长度为2的list. 计算后返回. 注意: 计算要使用float类型.

python
 
class Solution(object):
    def findMedianSortedArrays(self, nums1, nums2):
        """
        :type nums1: List[int]
        :type nums2: List[int]
        :rtype: float
        """
        nums = sorted(nums1 + nums2)
        if len(nums) % 2:
            s = len(nums) / 2
        else:
            s = len(nums) / 2 - 1

        e = len(nums) / 2 + 1

        rs = nums[s:e]
        if len(rs) == 1:
            return rs[0]
        else:
            return sum(rs) / float(2)
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