【LeetCode】4.Median of Two Sorted Arrays 两个有序数组中位数
题目:
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:
nums1 = [1, 3]
nums2 = [2] The median is 2.0
Example 2:
nums1 = [1, 2]
nums2 = [3, 4] The median is (2 + 3)/2 = 2.5
public class Solution {
public double findMedianSortedArrays(int[] nums1, int[] nums2) {
int len1=nums1.length;
int len2=nums2.length;
int k=len1+len2;
if(k%2!=0){
return findMedian(nums1,0,len1,nums2,0,len2,k/2+1);
}else{
return (findMedian(nums1,0,len1,nums2,0,len2,k/2)+findMedian(nums1,0,len1,nums2,0,len2,k/2+1))/2;
}
}
public static double findMedian(int[] nums1,int start1,int end1,int[] nums2,int start2,int end2,int k ){
if(end1>end2){
return findMedian(nums2,start2,end2,nums1,start1,end1,k);
}
if(end1<=0){
return nums2[start2+k-1];
}
if(k==1){
return Math.min(nums1[start1],nums2[start2]);
}
int k1=Math.min(k/2,end1);
int k2=k-k1;
if(nums1[start1+k1-1]<nums2[start2+k2-1]){
return findMedian(nums1,start1+k1,end1-k1,nums2,start2,end2,k-k1);
}else{
return findMedian(nums1,start1,end1,nums2,start2+k2,end2-k2,k-k2);
}
}
}
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