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101 changes: 101 additions & 0 deletions Half_diagonal_matrix.cpp
Original file line number Diff line number Diff line change
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#include<iostream>

using namespace std;

int main()
{
int a[50][50], n, i, sum[4]={0,0,0,0}, b=1, j;

cout<<"Checking whether center element of matrix equals sum of half diagonals"<<endl<<endl;
cout<<"Enter value of order of matrix is an odd ordered matrix : ";
cin>>n;

for(i=0; i<n; i++)
{
for(int j=0; j<n; j++)
cin>>a[i][j];
}
cout<<endl<<endl;

for(i=0; i<n; i++)
{
for(int j=0; j<n; j++)
cout<<a[i][j]<<" ";

cout<<endl;
}

for(i=0; i<n/2; i++)
{
sum[0]+=a[i][i];
}

cout<<endl<<"Sum of half diagonal 1 : "<<sum[0]<<endl;

i=n;
j=-1;
do
{
i--;
j++;
sum[1]+=a[i][j];
b++;
}while(b<=n/2);

cout<<endl<<"Sum of half diagonal 2 : "<<sum[1]<<endl;

i=-1;
j=n;
b=1;
do
{
i++;
j--;
sum[2]+=a[i][j];
b++;
}while(b<=n/2);

cout<<endl<<"Sum of half diagonal 3 : "<<sum[2]<<endl;

i=n;
j=n;
b=1;
do
{
i--;
j--;
sum[3]+=a[i][j];
b++;
}while(b<=n/2);

cout<<endl<<"Sum of half diagonal 4 : "<<sum[3]<<endl<<endl;

if(sum[0]==sum[1] && sum[1]==sum[2] && sum[2]==sum[3])
cout<<"Yes";

else
cout<<"No";

return 0;
}