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: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
namespace CsProgramSpace
{
    class Program
    {
        static void Main(string[] args)
        {
            int[] temp;
            temp = Console.ReadLine().Split(' ').Select(_ => int.Parse(_)).ToArray();
            int n = temp[0], m = temp[1], l = temp[2];
            int[][] a = new int[n][], b = new int[m][], c = new int[n][];
            for (int i = 0; i < n; i++)
            {
                a[i] = (Console.ReadLine().Split(' ').Select(_ => int.Parse(_)).ToArray());
            }
            for (int i = 0; i < m; i++)
            {
                b[i] = (Console.ReadLine().Split(' ').Select(_ => int.Parse(_)).ToArray());
            }
            string s = "";
            for (int i = 0; i < n; i++)
            {
                c[i] = new int[l];
                for (int j = 0; j < l; j++)
                {
                    for (int k = 0; k < m; k++)
                    {
                        c[i][j] += a[i][k] * b[k][j];
                    }
                }
            }
            for (int i = 0; i < n; i++)
            {
                for (int j = 0; j < l; j++)
                {
                    s += c[i][j] + " ";
                }
                s = s.Remove(s.Length - 1);
                Console.WriteLine(s);
                s = "";
            }
        }
    }
}