题目描述:
中文:
给定两个大小为 m 和 n 的有序数组 nums1 和 nums2。
请你找出这两个有序数组的中位数,并且要求算法的时间复杂度为 O(log(m + n))。
你可以假设 nums1 和 nums2 不会同时为空。
英文:
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)).
You may assume nums1 and nums2 cannot be both empty.
class Solution(object):
def findMedianSortedArrays(self, nums1, nums2):
"""
:type nums1: List[int]
:type nums2: List[int]
:rtype: float
"""
n1,n2 = len(nums1), len(nums2)
if n1 > n2:
nums1, nums2, n1, n2 = nums2, nums1, n2, n1
imin, imax, half_len = 0, n1, (n1 + n2 + 1) // 2
while imin <= imax:
i = (imin + imax) // 2
j = half_len - i
if j > 0 and i < n1 and nums1[i] < nums2[j-1]:
imin = i + 1
elif i > 0 and j < n2 and nums1[i-1] > nums2[j]:
imax = i - 1
else:
if i == 0: max_of_left = nums2[j-1]
elif j == 0: max_of_left = nums1[i-1]
else: max_of_left = max(nums1[i-1], nums2[j-1])
if (n1 + n2) % 2 == 1:
return max_of_left
if i == n1: min_of_right = nums2[j]
elif j == n2: min_of_right = nums1[i]
else: min_of_right = min(nums1[i], nums2[j])
return (max_of_left + min_of_right) / 2.0
题目来源:力扣
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