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.IO;
using System.Linq;
using System.Text;

namespace _20170409_AOJ
{
    class Program
    {
        static void Main(string[] args)
        {
            int[] iArr = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            int n = iArr[0];
            int m = iArr[1];
            int l = iArr[2];
            int[,] arrA = new int[n, m];
            for(int i=0; i<n;i++)
            {
                int[] rArr = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
                for(int j=0; j<m;j++)
                {
                    arrA[i, j] = rArr[j];
                }
            }

            int[,] arrB = new int[m, l];
            for(int i=0;i<m;i++)
            {
                int[] rArr = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
                for(int j=0;j<l;j++)
                {
                    arrB[i, j] = rArr[j];
                }
            }

            long[,] arrC = new long[n, l];
            for(int i=0;i<n;i++)
            {
                for(int j=0;j<l;j++)
                {
                    for(int k=0;k<m;k++)
                    {
                        arrC[i, j] += arrA[i, k] * arrB[k, j];
                    }
                }
            }

            for(int i=0;i<n;i++)
            {
                for(int j=0;j<l-1;j++)
                {
                    Console.Write("{0} ", arrC[i, j]);
                }
                Console.WriteLine(arrC[i, l - 1]);
            }


            Console.ReadLine();
        }
    }
}