Median of Two Sorted Arrays

There are two sorted arrays A and B 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)).

题意：寻找两个有序数组的中位数，要求复杂度为O(log (m+n)).
思路：问题本质其实就是求两个有序数组的第Kth的数，那么我们可以这样考虑，分别求出a,b两个数组中第k/2th的数，这两个数有三种情况

          当a[k/2]<b[k/2]时，那么原kth数肯定不在a[k/2]之前的数内，然后抛弃a[k/2]之前的所有数，再在剩余的数里求k-(k/2)th数，其余两种情况同理，递归二分，所以复杂度降到对数级别

double find_kth(int a[],int m,int b[],int n,int k){    if(m>n)      return find_kth(b,n,a,m,k);    if(m==0)      return b[k-1];    if(k==1)      return min(a[0],b[0]);    int pa=min(k/2,m),pb=k-pa;    if(a[pa-1]<b[pb-1])      return find_kth(a+pa,m-pa,b,n,k-pa);    else if(a[pa-1]>b[pb-1])           return find_kth(a,m,b+pb,n-pb,k-pb);         else           return a[pa-1];}class Solution {public:    double findMedianSortedArrays(int A[], int m, int B[], int n) {        int sum=m+n;        if(sum%2){            return find_kth(A,m,B,n,sum/2+1);        }        else            return (find_kth(A,m,B,n,sum/2)+find_kth(A,m,B,n,sum/2+1))/2;    }};