CodeGraderBench/CodeGraderBench huggingface dataset:
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
#define MAX 8
void Get_Matrix( int A[][MAX], int m, int n)
               {
                for(int i =0; i<m;i++)
                   {
                   for(int j = 0; j<n;j++)
                      {
                      cin>>A[i][j];
                      }
                    }
               }
void Get_Transpose( int A[][MAX], int AT[][MAX], int m , int n)
                  {
                   for(int i = 0; i<m;i++)
                      {
                       for(int j = 0; j<n;j++)
                          {
                           AT[j][i] = A[i][j];
                          }
                       }
                  }
void compute_matrixtranspose_matrix_product(int A[][MAX],int m,int n,int ATA[][MAX])
                                           {
                                            int AT[MAX][MAX];
                                            Get_Transpose(A,AT,m,n);
                                            for(int i = 0; i<n;i++)
                                               {
                                               for(int j =0; j<n;j++)
                                                   {
                                                    ATA[i][j] = 0;
                                                    for(int k = 0; k<m;k++)
                                                       {
                                                        ATA[i][j] += AT[i][k]*A[k][j];
                                                       }
                                                    }
                                               }
                                            }
void print_matrix( int A[][MAX], int m, int n)
                 {
                 for(int i = 0; i<m;i++)
                    {
                    for(int j  =0; j<n;j++)
                       {
                        if( i == m-1 &&j ==n-1) // Just to tailor it to the output's needs
                          {
                          cout<<A[i][j];
                          }
                        else
                        cout<<A[i][j]<<" ";
                       }
                     cout<<endl;
                    }
                 }
int main()
{
int m, n;
cin>>m>>n;
int A[MAX][MAX],ATA[MAX][MAX];
Get_Matrix(A,m,n);
compute_matrixtranspose_matrix_product(A,m,n,ATA);
print_matrix(ATA,n,n);
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: B
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<simplecpp>
const int MAX=100;
void getarray(int A[MAX][MAX], int m,int n){
cin >> m;
   cin >> n;
   int i,j;
   for(i=0;i<m;i++){
     for(j=0;j<n;j++){
      
        cin >> A[i][j];
        }
        }
   }
 void printarray(int ATA[MAX][MAX], int m){
 int i,j;
   for(i=0;i<m;i++){
     for(j=0;j<m;j++){
          cout << ATA[i][j]  << " ";
          }
          cout << endl;}
   }
void compute_matrixtranspose_matrix_product(int A[MAX][MAX],int m,int n,int ATA[MAX][MAX]){
int i,j,k;  

int AT[MAX][MAX];
 for(i=0;i<n;j++){
   for(j=0;j<m;j++){
    AT[i][j]=A[j][i];
}
}

   for(i=0;i<m;i++){
       for(j=0;j<m;j++){
         ATA[i][j]=0;
         for(k=0;k<n;k++){
           ATA[i][j]+=A[i][k]*AT[k][j];
          }
cout << ATA[i][j] << " ";}
cout << endl;} 
     }
main_program{
const int MAX=100;
int m,n;
int i,j;
int A[MAX][MAX];
int ATA[MAX][MAX];
getarray(A,m,n);
compute_matrixtranspose_matrix_product(A,m,n,ATA);
printarray(ATA,m);
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: C
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
//m=rows; n=column 
int const MAX=100;

void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]){
int B[MAX][MAX];
for(int i=0; i<m ; i++){
	for(int j=0; j<n; j++){
	B[j][i]=A[i][j];
	}
}
	
int i,j,k;

for(i=0;i<n;i++) {
for(j=0;j<n;j++){
   	ATA[i][j] = 0;
	for(k=0;k<m;k++){
		ATA[i][j] += B[i][k]*A[k][j]; // dot product of i-th row of A and j-th column of B
			} // close innermost for loop (on k)
} // close middle for loop (on j)
} // close outer for loop (on i)
}

int main(){
int m,n;
cin >> m >> n;
int A[MAX][MAX] ;
int ATA[MAX][MAX];

for(int i=0; i<m ; i++){
	for(int j=0; j<n; j++){
	cin >> A[i][j];
	}
	}

compute_matrixtranspose_matrix_product (A,m, n, ATA);

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

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: A
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
# define MAX 8
void compute_matrixtranspse_matrix_product(int A[][MAX],int m,int n,int ATA[][MAX]){
int C[MAX][MAX];
for(int i=0;i<n;i++){
for (int j=0;j<m;j++){
ATA[i][j]=A[j][i];	
C[i][j]=0;	
}					
}	
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
for (int k=0;k<m;k++){
C[i][j]=C[i][j]+ATA[i][k]*A[k][j];					 
}						
}	
}
for (int i=0;i<n;i++){for(int j=0;j<n;j++){
cout<<C[i][j]<<" ";											 
}
cout<<endl;}																			   
}
int main(){
int m,n;cin>>m>>n;
int A[MAX][MAX];int ATA[MAX][MAX];int C[MAX][MAX];	
for(int i=0;i<m;i++){for(int j=0;j<n;j++){cin>>A[i][j];}}	
compute_matrixtranspse_matrix_product(A,m,n,ATA);	
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: C
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
#define MAX 9

void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int AT[][MAX],int M[][MAX]){
	for(int i=0;i<m;i++){
		for(int j=0;j<n;j++){
		AT[j][i]=A[i][j];
		}
	}
	for(int i=0;i<n;i++){
		for(int j=0;j<n;j++){
		M[i][j]=0;
			for(int k=0;k<m;k++){
			M[i][j]=M[i][j]+AT[i][k]*A[k][j];
			}
		}
	}
}

int main(void){
int m,n;
cin>>m;
cin>>n;
int A[m][MAX];
int AT[n][MAX];
int M[n][MAX];
	for(int i=0;i<m;i++){
		for(int j=0;j<n;j++){cin>>A[i][j];}
	}
compute_matrixtranspose_matrix_product(A,m,n,AT,M);
	for(int i=0;i<n;i++){
		for (int j=0;j<n;j++){cout<<M[i][j]<<" ";}
	cout<<endl;
	}
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: A
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
#define MAX 100
using namespace std;
void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int X[][MAX]){
for(int i=0;i<n;i++){ 
for(int j=0;j<n;j++){ 
X[i][j]=0;
for(int k=0;k<m;k++){
X[i][j]+=A[k][i]*A[k][j]; 
}
}
}
}  
int main(){
int m,n;
int A[MAX][MAX],X[MAX][MAX];
cin>>m>>n;
for(int i=0;i<m;i++){
for(int j=0;j<n;j++){
cin>>A[i][j];
}
}
compute_matrixtranspose_matrix_product (A,m,n,X);
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
cout<<X[i][j]<<" ";
}
cout<<endl;
}
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: C
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include <iostream>
#define max 100
using namespace std;


void compute_matrixtranspose_matrix_product(int a[][max],int m,int n,int ata[][max]){
int at[n][m];
for(int i=0;i<m;i++){
for(int j=0;j<n;j++){
at[j][i]=a[i][j];}}
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
ata[i][j]=0;
for(int x=0;x<m;x++){
ata[i][j] +=at[i][x]*a[x][j];}}}}


int main(){
int m,n;
cin>>m>>n;
int a[m][max];
int b[n][max];
for(int i=0;i<m;i++){
for(int j=0;j<n;j++){
cin>>a[i][j];}}
compute_matrixtranspose_matrix_product(a,m,n,b);
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
cout<<b[j][i]<<" ";}
cout<<endl;}
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: B
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
#define MAX 100
void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]){
int AT[n][m];
for(int i=0;i<m;i++){
for(int j=0;j<n;j++){AT[j][i]=A[i][j];}}
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
for(int k=0;k<m;k++){ATA[j][i]=ATA[j][i]+AT[j][k]*A[k][i];}}}}
int main(){
int m,n;
cin>>m>>n;
int A[m][MAX];int ATA[n][MAX];
for(int i=0;i<m;i++){
for(int j=0;j<n;j++){cin>>A[i][j];}}
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){ATA[i][j]=0;}}
compute_matrixtranspose_matrix_product (A,m,n,ATA);
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){cout<<ATA[i][j]<<" ";}cout<<endl;}
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: B
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include <iostream>
using namespace std;

void compute_matrixtranspose_matrix_product (int a[][8], int m, int n, int ata[][8]){
	for (int i = 0; i < n; i++){
		for (int j = 0; j < n; j++){
			ata[i][j] = 0;
			for (int k = 0; k < m; k++){
				ata[i][j] += a[k][i]*a[k][j];
			}
		}
	}
}

int main(){
	int m = 0, n = 0;
	cin >> m >> n;
	int a[m][8], ata[n][8];

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

	compute_matrixtranspose_matrix_product(a, m, n, ata);

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

	return 0;
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: A
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
void compute_matrixtranspose_matrix_product (int A[][100],int m,int n,int ATA[][100])
{
for(int h=0;h<m;h++){
for (int r=0;r<n;r++){
cin>>A[h][r];
}}
int C[m][100];
for(int d=0;d<m;d++){
        for(int s=0;s<n;s++){
            ATA[s][d]=A[d][s];
        }
int i,j,k;
for(int i=0;i<m;i++) {
for(int j=0;j<m;j++){
			C[i][j] = 0;
	for(int k=0;k<n;k++){
			C[i][j] += A[i][k]*ATA[k][j]; 
		}
}}
  for (int p=0;p<m;p++){
	for(int q=0;q<m;q++){
	cout<<C[p][q]<<" ";
}
cout<<endl;

} 
 }   }
int main(){
    int m,n;
    cin>>m;cin>>n;
    int A[m][100];
int ATA[n][100];
	compute_matrixtranspose_matrix_product ( A, m, n, ATA);

}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: B
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include <iostream>
using namespace std;
#define MAX 1000
void input_array(int arr[][MAX], int p, int q){
	for(int k=0; k<p; k++){
		for(int j=0; j<q; j++){
			cin>>arr[k][j];
		}
	}	
}
void print_array(int A[][MAX], int p, int q){
	for(int k=0; k<p; k++){
		for(int j=0; j<q; j++){
			cout<<A[k][j]<<" ";
		}
		cout<<endl;
	}	
}

void transpose(int A[][MAX], int ATranspose[][MAX], int n1, int n2){
	for(int i=0; i<n1; i++){
		for(int j =0; j<n2; j++){
			ATranspose[j][i]=A[i][j];
		}
	}
}
void multiply(int A[][MAX], int ATranspose[][MAX], int Af[][MAX], int n1, int n2){
	for(int i=0; i<n2;i++){
		for(int j=0; j<n2; j++){
			Af[i][j] = 0;
			for(int k =0; k<n1; k++){
				Af[i][j]= Af[i][j]+ ATranspose[i][k]*A[k][j];
			}
		}
	}
}
int main(){

	int n1, n2;
	cin>>n1>>n2;
	int A[n1][MAX];
	int ATranspose[n2][MAX];
	int Af[n2][MAX];
	input_array(A, n1, n2);
	transpose(A, ATranspose, n1, n2);
	multiply(A, ATranspose, Af, n1,n2);
	print_array(Af, n2, n2);
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: B
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
//Matrix
void matrix(int a[10][10], int m, int n){
for (int i=0; i<m; i++){
for (int j=0; j<n; j++){
cin >> a[i][j];
}}}
//Printing the matrix
void print_matrix(int a[10][10], int m, int n){
for (int i=0; i<m; i++){
for (int j=0; j<n; j++){
cout << a[i][j] << " ";}
cout << endl;
}}
//transpose
void transpose(int a[10][10],int b[10][10], int m, int n){
for (int i=0; i<m; i++){
for (int j=0; j<n; j++){
b[j][i]=a[i][j];
}}}
//matrix multiplication
void matrix_multiplication(int c[10][10], int a[10][10], int b[10][10], int m, int n){
for (int i=0; i<n; i++){
for (int j=0; j<m; j++){
c[i][j]=0;
for (int k=0; k<m; k++){
c[i][j]=c[i][j]+b[i][k]*a[k][j];
}}}}
int main(){
int a[10][10];
int b[10][10];
int c[10][10];
int m;
int n;
cin >> m >> n;
matrix(a,m,n);
transpose(a,b,m,n);
matrix_multiplication(c,a,b,m,n);
print_matrix(c,n,n);
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: B
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
#define MAX 100
using namespace std;
void input(int A[][MAX],int m,int n){
for(int i=0;i<m;i++){
for(int j=0;j<n;j++)cin>>A[i][j];
}
}
void output(int A[][MAX],int m,int n){
for(int i=0;i<m;i++){
for(int j=0;j<n;j++){cout<<A[i][j]<<" ";}
cout<<endl;
}
}
void compute_matrixtranspose_matrix_product(int A[][MAX],int m,int n,int ATA[][MAX]){
for(int i=0;i<n;i++){
for(int j=0;j<n;j++)ATA[i][j]=0;
}
int AT[n][m];
for(int i=0;i<n;i++){
for(int j=0;j<m;j++) AT[i][j]=A[j][i];
}
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
for(int k1=0;k1<m;k1++){
ATA[i][j]=ATA[i][j]+ AT[i][k1]*A[k1][j];
}
}
}
}
int main(){
int m,n;
cin>>m>>n;
int A[m][MAX];
input(A,m,n);
int ATA[n][MAX];
compute_matrixtranspose_matrix_product(A,m,n,ATA);
output(ATA,n,n);
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: B
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
#define MAX 100
using namespace std;
void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]){
int i,j;
for(i=0;i<n;i++){
for(j=0;j<m;j++){
ATA[i][j]=A[j][i];
}
}
int k=0;
int c[n][n];
for(i=0;i<n;i++){
for(j=0;j<n;j++){
c[i][j]=0;
for(k=0;k<m;k++){
c[i][j]=c[i][j]+ATA[i][k]*A[k][j];
}
}
}
for(i=0;i<n;i++){
for(j=0;j<n;j++){
cout<<c[i][j]<<" ";
}
cout<<endl;
}
}
int main(){
int m,n,i,j;
cin>>m;
cin>>n;
int A[m][MAX],ATA[n][MAX];
for(i=0;i<m;i++){
for(j=0;j<n;j++){
cin>>A[i][j];
}
}
compute_matrixtranspose_matrix_product (A,m,n,ATA);
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: B
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;

void transposematrix_matrix_product(int a[][100],int m,int n,int at[][100]){
for(int i=0;i<n;i++){
for(int j=0;j<m;j++){
at[i][j]=a[j][i];
}
}
int p[n][n];
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
p[i][j]=0;
for(int k=0;k<m;k++){p[i][j] = p[i][j] + at[i][k]*a[k][j];}
}
}
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
cout<<p[i][j]<<" ";}
cout<<endl;}

}


int main(){
int m,n;
cin>>m>>n;
int a[100][100];
for(int i=0;i<m;i++){
for(int j=0;j<n;j++){cin>>a[i][j];}
}

int at[100][100];

transposematrix_matrix_product(a,m,n,at);

}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: B
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
#define MAX 20
using namespace std;
void compute_matrixtranspose_matrix_product(int A[][MAX],int m,int n,int AtA[][MAX])
{int At[MAX][MAX];
 for(int i=0;i<m;i++)
  {for(int j=0;j<n;j++)
     {At[j][i]=A[i][j];}
  }
for(int i=0;i<n;i++)
 {for(int j=0;j<n;j++)
   {for(int h=0;h<m;h++)
     {AtA[i][j]+=At[i][h]*A[h][j];}
   }
 }
for(int i=0;i<n;i++)
{for(int j=0;j<n;j++)
  {cout << AtA[i][j] << " ";}
  cout << endl;
}
}//end of function
int main()
{int A[MAX][MAX];int AtA[MAX][MAX];
int m,n;
cin >> m;
cin >> n;
for(int i=0;i<n;i++)
 {for(int j=0;j<n;j++) AtA[i][j]=0;}
for(int i=0;i<m;i++)
{for(int j=0;j<n;j++)
 {cin >> A[i][j];}
}
compute_matrixtranspose_matrix_product(A,m,n,AtA);
}

Grading criterion: quality of variable names
Rating A: good variable names
Rating B: ok variablenames
Rating C: poor naming of variables
Rating D: 0
Assigned grade: A