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;
using System.Collections.Generic;
using System.Text;

namespace ConsoleApplication9
{
    class Program
    {
        static void Main(string[] args)
        {
           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];
            int[,] c = new int[n, l];
            for (int i = 0; i < n; i++)
            {
                str = Console.ReadLine().Split(' ');
                for (int j = 0; j < m; j++)
                {
                    
                    a[i,j] = int.Parse(str[j]);
 
                    }
            }
            for (int i = 0; i < m; i++)
            {
                str = Console.ReadLine().Split(' ');
                for (int j = 0; j < l; j++)
                {
                   
                    b[i, j] = int.Parse(str[j]);

                }
            }
            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];
                    }

                    if (j != l - 1)
                    {
                        Console.Write(c[i, j]+" ");
                    }
                    else
                    {
                        Console.Write(c[i, j]);
                    }
                }
                Console.WriteLine();
            }
        }
    }
}