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: Accepted)

#include <stdio.h>

int main(void)
{
    int n, m, l;
    scanf("%d %d %d", &n, &m, &l);

    long long A[100][100], B[100][100], C[100][100] = {0};

    int i, j;
    for(i = 0; i < n; ++i)
    {
        for(j = 0; j < m; ++j)
        {
            scanf("%lld", &A[i][j]);
        }
    }

    for(i = 0; i < m; ++i)
    {
        for(j = 0; j < l; ++j)
        {
            scanf("%lld", &B[i][j]);
        }
    }

    int k;
    for(i = 0; i < n; ++i)
    {
        for(j = 0; j < m; ++j)
        {
            for(k = 0; k < l; ++k)
            {
                C[i][k] += A[i][j] * B[j][k];
            }
        }
    }

    for(i = 0; i < n; ++i)
    {
        for(j = 0; j < l; ++j)
        {
            printf("%lld%s", C[i][j], j + 1 != l ? " " : "\n");
        }
    }

    return 0;
}