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)).
class Solution {
public:
double findMedianSortedArrays(int A[], int m, int B[], int n) {
if((m+n)%2==1)
return find(A,m,B,n,(m+n)/2+1);
else
return (find(A,m,B,n,(m+n)/2)+find(A,m,B,n,(m+n)/2+1))/2.0;
}
double find(int* A,int m,int* B,int n,int order)
{
if(m==0)
return B[order-1];
if(n==0)
return A[order-1];
if(order==1)
return A[0]<B[0]?A[0]:B[0];
int mcheck=m>(order/2)?order/2:m;
int ncheck=n>(order/2)?order/2:n;
if(A[mcheck-1]<B[ncheck-1])
return find(A+mcheck,m-mcheck,B,n,order-mcheck);
else
return find(A,m,B+ncheck,n-ncheck,order-ncheck);
}
};
public:
double findMedianSortedArrays(int A[], int m, int B[], int n) {
if((m+n)%2==1)
return find(A,m,B,n,(m+n)/2+1);
else
return (find(A,m,B,n,(m+n)/2)+find(A,m,B,n,(m+n)/2+1))/2.0;
}
double find(int* A,int m,int* B,int n,int order)
{
if(m==0)
return B[order-1];
if(n==0)
return A[order-1];
if(order==1)
return A[0]<B[0]?A[0]:B[0];
int mcheck=m>(order/2)?order/2:m;
int ncheck=n>(order/2)?order/2:n;
if(A[mcheck-1]<B[ncheck-1])
return find(A+mcheck,m-mcheck,B,n,order-mcheck);
else
return find(A,m,B+ncheck,n-ncheck,order-ncheck);
}
};