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.Text;
using System.Linq;

namespace ConsoleApplication2
{
    class Program
    {

        static void Main(string[] args)
        {
            int[] data = Console.ReadLine()
                .Split(' ')
                .Select(x => int.Parse(x))
                .ToArray();
            int n = data[0];
            int m = data[1];
            int l = data[2];

            long[,] a = new long[n, m];
            long[,] b = new long[m, l];
            long[,] c = new long[n, l];

            for (int i = 0; i < n; i++)
            {
                int[] input = Console.ReadLine()
                    .Split(' ')
                    .Select( x => int.Parse(x))
                    .ToArray() ;
                for (int j = 0; j < m; j++)
                {
                    a[i, j] = input[j];
                }
            }

            for (int i = 0; i < m; i++)
            {
                int[] input = Console.ReadLine()
                    .Split(' ')
                    .Select( x => int.Parse(x))
                    .ToArray() ;
                for (int j = 0; j < l; j++)
                {
                    b[i, j] = input[j];
                }
            }

            for (int i = 0; i < n; i++)
            {
                for (int j = 0; j < m; j++)
                {
                    for (int k = 0; k < l; k++)
                    {
                        c[i, k] += a[i, j] * b[j, k];
                    }
                }
            }

            for (int i = 0; i < n; i++)
            {
                StringBuilder sb = new StringBuilder();
                for (int j = 0; j < l; j++)
                {
                    sb.Append(c[i, j] + " ");
                }
                Console.WriteLine(sb.ToString().Trim());
            }

        }
    }
}