Median in a row-wise sorted Matrix
// C++ program to find median of a matrix
// sorted row wise
#include<bits/stdc++.h>
using namespace std;
const int MAX = 100;
// function to find median in the matrix
int binaryMedian(int m[][MAX], int r ,int c)
{
int min = INT_MAX, max = INT_MIN;
for (int i=0; i<r; i++)
{
// Finding the minimum element
if (m[i][0] < min)
min = m[i][0];
// Finding the maximum element
if (m[i][c-1] > max)
max = m[i][c-1];
}
int desired = (r * c + 1) / 2;
while (min < max)
{
int mid = min + (max - min) / 2;
int place = 0;
// Find count of elements smaller than mid
for (int i = 0; i < r; ++i)
place += upper_bound(m[i], m[i]+c, mid) - m[i];
if (place < desired)
min = mid + 1;
else
max = mid;
}
return min;
}
// driver program to check above functions
int main()
{
int r = 3, c = 3;
int m[][MAX]= { {1,3,5}, {2,6,9}, {3,6,9} };
cout << "Median is " << binaryMedian(m, r, c) << endl;
return 0;
}