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;
using System.Text;

namespace ITP1_7_D
{
    class Program
    {
        static int[,] ReadMatrix(int row, int column)
        {
            int[,] matrix = new int[row, column];
            for (var i = 0; i < row; ++i)
            {
                string[] t = Console.ReadLine().Split(' ');
                for (var j = 0; j < column; ++j)
                {
                    matrix[i, j] = int.Parse(t[j]);
                }
            }

            return matrix;
        }


        static int Multiple(int i, int j, int[,] A, int[,] B)
        {
            var m = 0;
            {
                var mA = A.GetLength(1);
                var mB = B.GetLength(0);
                if (mA != mB)
                {
                    return 0;
                }
                m = mA;
            }

            var sum = 0;
            for (var k = 0; k < m; ++k)
            {
                sum += A[i, k] * B[k, j];
            }
            return sum;
        }


        static void Main(string[] args)
        {
            string[] words = Console.ReadLine().Split(' ');
            var n = int.Parse(words[0]);
            var m = int.Parse(words[1]);
            var l = int.Parse(words[2]);

            var A = ReadMatrix(n, m);
            var B = ReadMatrix(m, l);
            var C = new int[n, l];


            for (var i = 0; i < n; ++i)
            {
                for (var j = 0; j < l; ++j)
                {
                    C[i, j] = Multiple(i, j, A, B);

                    if (j == 0)
                    {
                        Console.Write(C[i, j]);
                    }
                    else
                    {
                        Console.Write(" {0}", C[i, j]);
                    }
                }
                Console.WriteLine();
            }

        }
    }
}