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;

namespace AizuOnLine
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] str = Console.ReadLine().Split(' ');
            int n = int.Parse(str[0]);
            int m = int.Parse(str[1]);
            int l = int.Parse(str[2]);

            int[,] a = GetData(n, m);
            int[,] b = GetData(m, l);
            string[,] c = new string[n, l];

            for (int rowA = 0; rowA < n; rowA++) 
            { 
                for (int colB = 0; colB < l; colB++)
                {
                    int sum = 0;
                    for (int rowB = 0; rowB < m; rowB++)
                    {
                        sum += b[rowB, colB] * a[rowA, rowB];
                        //Console.WriteLine(string.Format("{0} * {1}", b[rowB, colB], a[rowA, rowB]));
                    }

                    c[rowA, colB] = sum.ToString();
                }
            }

            for (int row = 0; row < n; row++)
            {
                for (int col = 0; col < l - 1; col++)
                {
                    Console.Write(c[row, col] + " ");
                }

                Console.WriteLine(c[row, l - 1]);
            }
        }

        static int[,] GetData(int a, int b)
        {
            int[,] data = new int[a, b];

            for (int i = 0; i < a; i++)
            {
                string[] str = Console.ReadLine().Split(' ');
                for (int j = 0; j < b; j++)
                {
                    data[i, j] = int.Parse(str[j]);
                }
            }

            return data;
        }
    }
}