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;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace _1_7_D
{
    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]);
            long[,] arrayA = new long[n, m];
            long[,] arrayB = new long[m, l];
            long[,] arrayC = new long[n, l];
            string[] strA = new string[m];
            long sumC = 0;
            for(int i = 0; i < n; i++)
            {
                strA = Console.ReadLine().Split(' ');
                for (int j = 0; j <m; j++)
                {
                    arrayA[i, j] = long.Parse(strA[j]);
                }
            }
            for (int i = 0; i < m; i++)
            {
                strA = Console.ReadLine().Split(' ');
                for (int j = 0; j < l; j++)
                {
                    arrayB[i, j] = long.Parse(strA[j]);
                }
            }
            for (int i = 0; i < n; i++)
            {
                for (int j = 0; j < l; j++)
                {
                    for (int g = 0; g < m; g++)
                    {
                        sumC = sumC + (arrayA[i, g] * arrayB[g, j]);
                    }
                    arrayC[i, j] = sumC;
                    sumC = 0;
                }
            }
            for (int i = 0; i < n; i++)
            {
                for (int j = 0; j < l-1; j++)
                {
                    Console.Write("{0} ", arrayC[i, j]);
                }
                Console.Write(arrayC[i, l-1]);
                Console.Write("\n");
            }
        }
    }
}