有两个给定的排好序的数组 nums1 和 nums2,其大小分别为 m 和 n。
找出这两个已排序数组的中位数。
总运行时间的复杂度应该是 O(log(m+n))。
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)).
public class Solution { public double FindMedianSortedArrays(int[] nums1, int[] nums2) { int len1=nums1.Length; int len2=nums2.Length; bool isEven=(nums1.Length+nums2.Length)%2==0; int left=(len1+len2+1)/2; int right=(len1+len2+2)/2; if (isEven) { var leftValue = findKth(nums1, 0, len1 - 1, nums2, 0, len2 - 1, left); var rightValue = findKth(nums1, 0, len1 - 1, nums2, 0, len2 - 1, right); return (leftValue + rightValue) / 2.0; } else { return findKth(nums1, 0, len1 - 1, nums2, 0, len2 - 1, right); } } public double findKth(int[] A,int lowA,int highA,int[] B,int lowB,int highB,int k) { if(lowA>highA) { return B[lowB+k-1]; } if(lowB>highB) { return A[lowA+k-1]; } int midA=(lowA+highA)/2; int midB=(lowB+highB)/2; if (A[midA] <= B[midB]) { return k <= midA - lowA + midB - lowB + 1 ? this.findKth(A, lowA, highA, B, lowB, midB - 1, k) : this.findKth(A, midA + 1, highA, B, lowB, highB, k - (midA - lowA + 1)); } else { return k <= midA - lowA + midB - lowB + 1 ? this.findKth(A, lowA, midA - 1, B, lowB, highB, k) : this.findKth(A, lowA, highA, B, midB + 1, highB, k - (midB - lowB + 1)); } } }