double findMedianSortedArrays(int* nums1, int nums1Size, int* nums2, int nums2Size) {
int m = nums1Size + nums2Size;
if(m==0) return 0;
if(m%2) {
return findkth(nums1, nums1Size, nums2, nums2Size, m/2+1);
}
return (findkth(nums1, nums1Size, nums2, nums2Size, m/2) +
findkth(nums1, nums1Size, nums2, nums2Size, m/2+1)) / 2.0;
}
double findMedianSortedArrays(int* nums1, int nums1Size, int* nums2, int nums2Size) {
if((nums1Size+nums2Size)%2){
return findkth(nums1,nums1Size,nums2,nums2Size,(nums1Size+nums2Size)/2+1)*1.0;
}else{
return (findkth(nums1,nums1Size,nums2,nums2Size,(nums1Size+nums2Size)/2)
+findkth(nums1,nums1Size,nums2,nums2Size,(nums1Size+nums2Size)/2+1))/2.0;
}
}
double findMedianSortedArrays(int A[], int m, int B[], int n) {
// Start typing your C/C++ solution below
// DO NOT write int main() function
int len = m+n;
if (len%2==1){
return findkth(A,m,B,n,len/2+1);
}
else{
return (findkth(A,m,B,n,len/2+1) + findkth(A,m,B,n,len/2))/2;
}
}
double findMedianSortedArrays(vector<int> A, vector<int> B) {
// write your code here
int total_size = A.size() + B.size();
// if the total size is odd
if (total_size & 0x1) {
return findkth(A, B, total_size / 2 + 1, 0, 0);
}
else {
return (findkth(A, B, total_size / 2, 0, 0) +
findkth(A, B, total_size / 2 + 1, 0, 0) ) / 2;
}
}
double findkth(double array[],int low,int high, int k){
double kth;
if(low == high) kth = array[low];
else{
double pivot = array[low];
int splitpoint = partition(array,low,high);
if(k-1 == splitpoint) kth = pivot;
else if(k-1<splitpoint) kth = findkth(array,low,splitpoint-1,k);
else if(k-1>splitpoint) kth = findkth(array,splitpoint+1,high,k);
}
return kth;
}
double findMedianSortedArrays(vector<int>& nums1, vector<int>& nums2) {
int m = nums1.size();
int n = nums2.size();
int k = (m + n + 1) /2;
double med = (double) findkth(nums1, nums2, 0, m , 0, n , k);
cout<<med<<endl;
if((m + n) % 2 == 0){
double med2 = (double) findkth(nums1, nums2, 0, m , 0, n , k+1);
cout << med2 <<endl;
med = (med + med2)/2;
}
return med;
}
int findkth(int* v1, int sz1, int* v2, int sz2, int k){
if(sz1 < sz2)
return findkth(v2, sz2, v1, sz1, k);
// assert(sz1 >= sz2);
if(sz2 == 0) return v1[k-1];
if(k == 1) return min(v1[0], v2[0]);
int j = min(sz2, k/2);
int i = k-j;
if(v1[i-1] < v2[j-1])
return findkth(v1+i, sz1-i, v2, sz2, k-i);
return findkth(v1, sz1, v2+j, sz2-j, k-j);
}
double findkth(int a[], int m, int b[], int n, int k)
{
if (m > n) return findkth(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 findkth(a+pa, m-pa, b, n, k - pa);
else if (a[pa-1]>b[pb-1]) findkth(a, m, b+pb, n-pb, k-pb);
else {
printf("equal %d\n", a[pa-1]);
return a[pa-1];
}
/* same as
if (a[pa-1] < b[pb-1]) return findkth(a+pa, m-pa, b, n, k - pa);
else return findkth(a, m, b+pb, n-pb, k-pb);
*/
}
double findkth(int A[], int m, int B[], int n, int k)
{
// make sure A is no bigger than B
if(m>n) return findkth(B,n,A,m,k);
// if A empty, find in B
if(m==0) return B[k-1];
// if to find the smallest, find between A[0] and B[0]
if(k==1) return min(A[0],B[0]);
// both A and B non-empty and to find at least the second smallest
int apart = min(k/2,m);
int bpart = k-apart;
if(A[apart-1] < B[bpart-1])
return findkth(A+apart,m-apart,B,n,k-apart);
else
return findkth(A,m,B+bpart,n-bpart,k-bpart);
}
// find the kth min in sorted array A, B; k is the order.
// each time when one middle value less than the other one, skip all these till mid + 1
double findkth(vector<int> &A, vector<int> &B, int k, int index_a, int index_b) {
if (A.size() - index_a > B.size() - index_b)
return findkth(B, A, k, index_b, index_a);
if (A.size() - index_a == 0)
return B[k - 1];
if (k == 1) {
return min(A[index_a], B[index_b]);
}
int mid_a = min((int)A.size() - index_a, k/2);
int mid_b = k - mid_a;
if (A[index_a + mid_a - 1] < B[index_b + mid_b - 1]) {
return findkth(A, B, k - mid_a, index_a + mid_a, index_b);
}
else if (A[index_a + mid_a - 1] > B[index_b + mid_b - 1]) {
return findkth(A, B, k - mid_b, index_a, index_b + mid_b);
}
else
return A[mid_a - 1];
}
int main(int argc, char* argv[]) {
//int a[]={3,4,5,6,7};
//int b[]={1,2,3};
int a[]= {100001};
int b[]= {100000};
int m=1,n=1;
int median=(m+n)/2;
printf("median %d\n", median);
if((m+n)%2) {
int r= findkth(a,m,b,n,median+1);
printf("odd %d\n", r);
} else {
int p= findkth(a,m,b,n,median);
int q= findkth(a,m,b,n,median+1);
printf("even %d %d %f\n", p,q,(p+q)/2.0);
}
return 1;
}
int findkth(vector<int> & nums1, vector<int>& nums2, int begin1, int size1, int begin2, int size2, int k){
cout << size1 << " "<< size2<<endl;
if(size1 > size2){
return findkth(nums2, nums1, begin2, size2, begin1, size1, k);
}
if(size1 == 0) // if its the end of the nums1 then we find the kth smallest num in nums2
//cout<<nums2[0]<<endl;
return nums2[k-1];
if(k == 1)
return min(nums1[begin1], nums2[begin2]);
int k1 = min(k/2, size1); // k1 n -k1
int k2 = k - k1; // k - k1 m - ( k - k1)
// left k right m + n - k
if(nums1[begin1 + k1 - 1] < nums2[begin2 + k2 - 1]) // then the kth smallest is in the right sid
return findkth(nums1, nums2, begin1 + k1, size1 - k1, begin2, size2, k - k1);
return findkth(nums1, nums2, begin1, size1, begin2 + k2, size2 - k2, k - k2);
}
int findkth(int* a,int aSize,int*b,int bSize,int k) {
int aPos,bPos;
if(aSize>bSize){
return findkth(b,bSize,a,aSize,k);
}
if(aSize==0){
return b[k-1];
}
if(k==1){
return a[0]<b[0] ? a[0] : b[0];
}
aPos = k/2<aSize ? k/2 : aSize;
bPos = k-aPos;
if(a[aPos-1]==b[bPos-1]){
return a[aPos-1];
}else if(a[aPos-1]<b[bPos-1]){
return findkth(a+aPos,aSize-aPos,b,bSize,k-aPos);
}else{
return findkth(a,aSize,b+bPos,bSize-bPos,k-bPos);
}
}