#include<bits/stdc++.h>
using namespace std;
int maximum(int a, int b);
int minimum(int a, int b);
/*double findMedianSortedArrays(int *a, int n,
int *b, int m)
{
int min_index = 0, max_index = n, i, j, median;
while (min_index <= max_index)
{
i = (min_index + max_index) / 2;
j = ((n + m + 1) / 2) - i;
if (i < n && j > 0 && b[j - 1] > a[i])
min_index = i + 1;
else if (i > 0 && j < m && b[j] < a[i - 1])
max_index = i - 1;
else
{
if (i == 0)
median = b[j - 1];
else if (j == 0)
median = a[i - 1];
else
median = maximum(a[i - 1], b[j - 1]);
break;
}
}
if ((n + m) % 2 == 1)
return (double)median;
if (i == n)
return (median+b[j]) / 2.0;
if (j == m)
return (median + a[i]) / 2.0;
return (median + minimum(a[i], b[j])) / 2.0;
}
int maximum(int a, int b)
{
return a > b ? a : b;
}
int minimum(int a, int b)
{
return a < b ? a : b;
}*/
/*double findMedianSortedArrays(int *a, int n, int *b, int m, int left_val = 0, int right_val = -1) {
if (right_val == -1) {
right_val = n;
}
cout << left_val << " " << right_val << "\n";
int i = (left_val + right_val) / 2;
int j = (n + m + 1) / 2 - i;
int median = 0;
if (left_val <= right_val) {
if (i < n && j > 0 && b[j - 1] > a[i])
return findMedianSortedArrays(a, n, b, m, i + 1, right_val);
else if (i > 0 && j < m && b[j] < a[i - 1])
return findMedianSortedArrays(a, n, b, m, left_val, i - 1);
if (i == 0)
median = b[j - 1];
else if (j == 0)
median = a[i - 1];
else
median = max(a[i - 1], b[j - 1]);
}
if ((n + m) % 2 == 1)
return (double)median;
if (i == n)
return (median + b[j]) / 2.0;
if (j == m)
return (median + a[i]) / 2.0;
return (median + min(a[i], b[j])) / 2.0;
}*/
double findMedianSortedArrays(int *a, int n, int *b, int m, int left_pos = 0, int right_poz = -1) {
if (right_poz == -1) {
right_poz = n;
}
int i = (left_pos + right_poz) / 2;
int j = (n + m + 1) / 2 - i;
if (left_pos <= right_poz) {
if (i > 0 && j < m && b[j] < a[i - 1]) {
return findMedianSortedArrays(a, n, b, m, left_pos, i - 1);
}
if (j > 0 && i < n && a[i] < b[j - 1]) {
return findMedianSortedArrays(a, n, b, m, i + 1, right_poz);
}
}
double median = 0;
if (i == 0) {
median = b[j - 1];
}
else if (j == 0) {
median = a[i - 1];
} else {
median = max(a[i - 1], b[j - 1]);
}
if ((n + m) % 2 == 1) return median;
if (i == n) {
return (median + b[j]) / 2.0;
}
if (j == m) {
return (median + a[i]) / 2.0;
}
return (median + double(min(a[i], b[j]))) / 2.0;
}
class Solution {
private:
double binSearch(vector<int>& a, vector<int>& b, int left_pos, int right_pos) {
int n = a.size();
int m = b.size();
int i = (left_pos + right_pos) / 2;
int j = (n + m + 1) / 2 - i;
if (left_pos <= right_pos) {
if (i > 0 && j < m && a[i - 1] > b[j]) {
return binSearch(a, b, left_pos, i - 1);
}
if (j > 0 && i < n && a[i] < b[j - 1]) {
return binSearch(a, b, i + 1, right_pos);
}
}
double median = 0.0;
if (i == 0) {
median = b[j - 1];
} else if (j == 0) {
median = a[i - 1];
} else {
median = max(a[i - 1], b[j - 1]);
}
if ((n + m) % 2 == 1) return median;
if (i == n) {
return (median + double(b[j])) / 2.0;
}
if (j == m) {
return (median + double(a[i])) / 2.0;
}
return (median + min(a[i], b[j])) / 2.0;
}
public:
double findMedianSortedArrays(vector<int>& nums1, vector<int>& nums2) {
if (nums2.size() == 0) {
if (nums1.size() % 2 == 1) {
return nums1[nums1.size() / 2];
} else {
return (nums1[nums1.size() / 2] + nums1[nums1.size() / 2 - 1]) / 2.0;
}
}
if (nums1.size() == 0) {
if (nums2.size() % 2 == 1) {
return nums2[nums2.size() / 2];
} else {
return (nums2[nums2.size() / 2] + nums2[nums2.size() / 2 - 1]) / 2.0;
}
}
return binSearch(nums1, nums2, 0, nums1.size());
}
};
int main()
{
int a[] = {1, 2, 3, 5, 6};
int b[] = {4};
int n = sizeof(a) / sizeof(int);
int m = sizeof(b) / sizeof(int);
if (n < m)
cout << "The median is : "
<< findMedianSortedArrays(a, n, b, m);
else
cout << "The median is : "
<< findMedianSortedArrays(b, m, a, n);
return 0;
}