Problem:
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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: Wrong Answer)

#include <stdio.h>
static int n, m, l, a[100][100], b[100][100], c[100][100];
int main(void) {
    int i, j, k;
    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)
            for (k = 0; k < m; ++k)
                c[i][j] += a[i][k] * b[k][j];
    for (i = 0; i < n; ++i) {
        for (j = 0; j < l; ++j) {
            if (j) putchar(' ');
            printf("%d", c[i][j]);
        }
        putchar('\n');
    }
    return 0;
}