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.Linq;
using System.Collections.Generic;

namespace Algorithm
{
    class Program
    {
        static void Main(string[] args)
        {
            var line = Console.ReadLine().Split().Select(s => int.Parse(s)).ToArray();

            int n = line[0], m = line[1], l = line[2];

            var firstMatrix = CreateMatrix(n);
            var secondMatrix = CreateMatrix(m);

            var resultMatrix = CreateBlankMatrix(n, l);

            for (var i = 0; i < n; i++)
            {
                for (var j = 0; j < l; j++)
                {
                    var sum = 0L;
                    for (var k = 0; k < m; k++)
                    {
                        sum += firstMatrix[i][k] * secondMatrix[k][j];
                    }

                    resultMatrix[i][j] = sum;

                }
            }

            foreach (var ans in resultMatrix)
            {
                Console.WriteLine(string.Join(" ", ans));
            }

        }

        static int[][] CreateMatrix(int n)
        {
            var array = new int[n][];
            for (var i = 0; i < n; i++)
            {
                array[i] = Console.ReadLine().Split().Select(s => int.Parse(s)).ToArray();
            }

            return array;
        }

        static long[][] CreateBlankMatrix(int n, int m)
        {
            var array = new long[n][];
            for (var i = 0; i < n; i++)
            {
                array[i] = new long[m];
            }

            return array;
        }

    }

}