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)

using System;

class Program
{
    static void Main(string[] args)
    {
        String[] aryInput = Console.ReadLine().Split(' ');
        int n = int.Parse(aryInput[0]);
        int m = int.Parse(aryInput[1]);
        int l = int.Parse(aryInput[2]);

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

        //配列A代入
        for (int i = 0; i < n; i++)
        {
            String[] tmp1 = Console.ReadLine().Split(' ');

            for (int j = 0; j < m; j++)
            {
                A[i, j] = int.Parse(tmp1[j]);
            }

        }

        //配列B代入
        for (int i = 0; i < m; i++)
        {
            String[] tmp2 = Console.ReadLine().Split(' ');

            for (int j = 0; j < l; j++)
            {
                B[i, j] = int.Parse(tmp2[j]);
            }

        }

        //Cの配列に整数入力
        for (int i = 0; i < n; i++)
        {
            for (int j = 0; j < l; j++)
            {
                for (int k = 0; k < m; k++)
                {
                    C[i,j] += A[i,k] * B[k,j];
                }
            }
        }

        //Cの中身出力
        for (int i = 0; i < n; i++)
        {
            for (int j = 0; j < l - 1; j++)
            {
                Console.Write(C[i, j] + " ");
            }
            Console.WriteLine(C[i, l - 1]);
        }

    }
}