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)

using System;

class Program
{
    static void Main()
    {
        string[] s1 = Console.ReadLine().Split(' ');

        int n = int.Parse(s1[0]);
        int m = int.Parse(s1[1]);
        int l = int.Parse(s1[2]);

        long[,] A = new long[n, m];
        long[,] B = new long[m, l];
        long[,] C = new long[n, l];

        for(int i = 0; i < n; i++)
        {
            string[] s2 = Console.ReadLine().Split(' ');
            for(int j=0; j<m; j++)
            {
                A[i, j] = int.Parse(s2[j]);
            }
        }

        for(int i = 0; i < m; i++)
        {
            string[] s3 = Console.ReadLine().Split(' ');
            for(int j=0; j<l; j++)
            {
                B[i, j] = int.Parse(s3[j]);
            }
        }

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

        for (int i = 0; i < n; i++)
        {
            for (int j = 0; j < l; j++)
            {
                if (j == l - 1)
                    Console.WriteLine(C[i, j]);
                else
                    Console.Write(C[i, j] + " ");
            }
        }
    }
}