#include <iostream>
using namespace std;
#define FOR(i,a,n) for(int i=(a); i<=(n); i++)
#define FORD(i,n,a) for(int i=(n); i>=(a); i--)
#define REP(i,n) FOR (i, 0, (n)-1)
#define REPD(i,n) FORD(i, (n)-1, 0)
#define DBG_PRINT 1
//typedef vector<int> vi;
//typedef vector<vector<int> > vii;
int main()
{
double A[3][8] = {{2, 5, -1, 9, -3, 6, 1, 1}, {7, 4, 2, 4, 2, 10, 1, 1}, {3, -2, -10, 1, 4, 2, 1, 1}};
const int M = 3; // Changing this to 3 gives the original matrix
const int N = 6; // Changing this to 6 gives the original matrix
double res[M][N];
// Write code below that uses M, N and A as input so that it will work
// for any M X N matrix (M < N). Verify output is correct for the initialized A matrix
// Condition M < N strictly required
// Total number of diagonal elements
int ND = N + M -1;
double vals[ND];
int cnt = 0; // Index for forward iteration
int cnt_b = ND-1; // Index for reverse iteration
REP(j, ND)
{
vals[cnt]= vals[cnt_b]= 0;
FORD(i, min(M-1,j), 0)
{
vals[cnt] += A[i][j-i];
vals[cnt_b] += A[M-1-i][N-1-(j-i)];
}
double num = min( (double)M, (double)(cnt+1));
vals[cnt] /= num;
vals[cnt_b] /= num;
cnt++;
cnt_b--;
if(cnt > cnt_b)
break;
}
// Final henkel matrix
REP(i,M)
REP(j,N)
res[i][j] = vals[i+j];
// Print the results
#if DBG_PRINT
cout << endl << endl;
cout << "Original Matrix" << endl;
REP(i, M)
{
REP(j, N)
cout << A[i][j] << "\t";
cout << endl;
}
cout << endl << endl;
cout << "Values" << endl;
REP(i, ND)
{
cout << vals[i] << "\t";
}
cout << endl << endl;
cout << "Henkel Matrix" << endl;
REP(i, M)
{
REP(j, N)
cout << res[i][j] << "\t";
cout << endl;
}
#endif
return 0;
}
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