Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

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: WA: Presentation Error)

using System;

    class Program
    {
        static void Main(string[] args)
        {
            int n, m, l, i, j, k;
            int subTotal = 0;
            int total = 0;

            //整数受け取り
            string[] str1 = Console.ReadLine().Split(' ');
            n = int.Parse(str1[0]);
            m = int.Parse(str1[1]);
            l = int.Parse(str1[2]);


            //2次元配列数値受け取り(n * m)
            int[,] array1 = new int[n, m];

            for (i = 0; i < n; i++)
            {
                string[] str2 = Console.ReadLine().Split(' ');

                for (j = 0; j < m; j++)
                {
                    array1[i, j] = int.Parse(str2[j]);        
                }
            }

            //2次元配列数値受け取り(m * l)
            int[,] array2 = new int[m, l];
            

            for (i = 0; i < m; i++)
            {
                string[] str3 = Console.ReadLine().Split(' ');

                for (j = 0; j < l; j++)
                {   
                    array2[i, j] = int.Parse(str3[j]);
                }
            }

            //計算&出力
            for (i = 0; i < n; i++)
            {
                for (j = 0; j < l; j++)
                {
                    for (k = 0; k < m; k++)
                    {
                        subTotal = array1[i, k] * array2[k, j];
                        total += subTotal;
                        subTotal = 0;
                    }
                    Console.Write(total);
                    total = 0;

                    if (!(n <= l - 1))
                    {
                        Console.Write(" ");
                    }
                  
                    
                }
                Console.WriteLine("");
            }
        }
    }