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: Wrong Answer)

using System;

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

        int[,] A = new int[n, m];
        int[,] B = new int[m, l];

        for (int i=0;i < n;i++)
        {
            string[] str2 = Console.ReadLine().Split(' ');
            for (int j=0;j< m;j++)
            {
                A[i, j] = int.Parse(str2[j]);
            }
        }

        for (int i=0;i < m;i++)
        {
            string[] str3 = Console.ReadLine().Split(' ');
            for (int j = 0; j < l; j++)
            {
                B[i, j] = int.Parse(str3[j]);
            }
        }

        int[,] Answer = MultiMatrix(A, B);

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

    static int[,] MultiMatrix(int[,] x,int[,] y)
    {
        int Row = x.GetLength(0);
        int Colum = y.GetLength(1);

        int[,] Multip = new int[Row, Colum];

        for (int i = 0; i < Row; i++) 
        {
            for (int j = 0; j < Colum; j++) 
            {
                int Sum = 0;

                for (int k =0;k < x.GetLength(1); k++)
                {
                    int Multiplication = x[i, k] * y[k, j];

                    Sum += Multiplication;
                }

                Multip[i, j] = Sum;
            }
        }

        return Multip;
    }

}