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.IO;
using System.Linq;

namespace Structured_Program_II
{
    class Matrix_Multiplication
    {
        static void Main(string[] args)
        {
            var size = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();

            var mat1 = new int[size[0]][];
            for (int i = 0; i < mat1.Length; i++)
                mat1[i] = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            var mat2 = new int[size[1]][];
            for (int i = 0; i < mat2.Length; i++)
                mat2[i] = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();

            var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush=false};
            Console.SetOut(sw);

            for (int i = 0; i < size[0]; i++)
                for (int j = 0; j < size[2]; j++)
                {
                    long res = 0;
                    for (int k = 0; k < size[1]; k++)
                        res += mat1[i][k] * mat2[k][j];
                    Console.Write(res);
                    if (j != size[2] - 1) Console.Write(" ");
                    else Console.WriteLine();
                }
            Console.Out.Flush();
        }
    }
}