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;

namespace AizuOnlineJudge
{
    class Program
    {
        static void Main(string[] args)
        {
            var arr = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
            var n = arr[0];
            var m = arr[1];
            var l = arr[2];

            arr.Select(e => e.ToString());

            var res = new long[n][];
            for(var i = 0; i < res.Length; ++i)
            {
                res[i] = new long[l];
            }

            var a = Enumerable.Range(0, n).Select(e => Console.ReadLine().Split(' ').Select(long.Parse).ToArray()).ToArray();
            var b = Enumerable.Range(0, m).Select(e => Console.ReadLine().Split(' ').Select(long.Parse).ToArray()).ToArray();

            for(var i = 0; i < n; ++i)
            {
                for(var k = 0; k < l; ++k)
                {
                    for(var p = 0; p < m; ++p)
                    {
                        res[i][k] += a[i][p] * b[p][k];
                    }
                }
            }

            Console.WriteLine(string.Join("\n", res.Select(e => string.Join(" ", e))));
        }

        /*private static bool IsInput(out int[] arr)
        {
            var s = Console.ReadLine();
            if (s == "0 0") { arr = null; return false; }

            arr = s.Split(' ').Select(int.Parse).ToArray();
            return true;
        }
        // */
    }
}