Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

Matrix Multiplication

Write a program which reads a $n \times m$ matrix $A$ and a $m \times l$ matrix $B$, and prints their product, a $n \times l$ matrix $C$. An element of matrix $C$ is obtained by the following formula:

\[
c_{ij} = \sum_{k=1}^m a_{ik}b_{kj}
\]

where $a_{ij}$, $b_{ij}$ and $c_{ij}$ are elements of $A$, $B$ and $C$ respectively.

Input

In the first line, three integers $n$, $m$ and $l$ are given separated by space characters

In the following lines, the $n \times m$ matrix $A$ and the $m \times l$ matrix $B$ are given.

Output

Print elements of the $n \times l$ matrix $C$ ($c_{ij}$). Print a single space character between adjacent elements.

Constraints

$1 \leq n, m, l \leq 100$

$0 \leq a_{ij}, b_{ij} \leq 10000$

Sample Input

3 2 3
1 2
0 3
4 5
1 2 1
0 3 2

Sample Output

1 8 5
0 9 6
4 23 14

Note

      解説

Solution in C (judge verdict: Accepted)

#include <stdio.h>
 
int main(void)
{
    int n, m, l, i, j, k;
    int a[100][100] = { 0 }, b[100][100] = { 0 };
    long int c;
 
    scanf("%d %d %d", &n, &m, &l);
 
    for (i = 0; i < n; i++)
        for (j = 0; j < m; j++)
            scanf("%d", &a[i][j]);
 
    for (i = 0; i < m; i++)
        for (j = 0; j < l; j++)
            scanf("%d", &b[i][j]);
 
    for (i = 0; i < n; i++)
        for (j = 0; j < l; j++) {
            c = 0;
            for (k = 0; k < m; k++) 
                c += a[i][k] * b[k][j];
 
            printf("%ld%s", c, j == l - 1 ? "\n" : " ");
        }
 
 
    return 0;
}