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.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Test
{
    class ForStudy
    {
        public static void Main(string[] args)
        {
            int[] nums = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();

             int n = nums[0];
            int m = nums[1];
            int l = nums[2];

            var a = ReadMatrix(n, m);
            var b = ReadMatrix(m, l);
            var c = MatrixMultiply(a, b);
            ShowMatrix(c);
            
        }
        public static int[,] ReadMatrix(int row, int column)
        {
            var matrix = new int[row, column];
            for (int i = 0; i < row; i++)
            {
                int[] rowVector = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
                for(int j= 0; j < column; j++)
                {
                    matrix[i, j] = rowVector[j];
                }

            }
            return matrix;
        }
        public static long[,] MatrixMultiply(int[,] a,int[,] b)
        {
            int row = a.GetLength(0);
            int indexNum = a.GetLength(1);
            int column = b.GetLength(1);
            long[,] result = new long[row,column];

            for(int i=0; i < row; i++)
            {
                for(int j = 0; j < column; j++)
                {
                    for(int k = 0; k < indexNum; k++)
                    {
                        result[i, j] += a[i, k] * b[k, j];
                    }
                }

            }

            return result;
        }
        public static void ShowMatrix(long[,] m)
        {
            for(int i = 0; i < m.GetLength(0); i++)
            {
                for(int j=0;j<m.GetLength(1); j++)
                {
                    Console.Write(m[i, j]);
                    if (j + 1 != m.GetLength(1))
                    {
                        Console.Write(" ");
                    }
                    else
                    {
                        Console.WriteLine();
                    }
                }
            }
        }
    }
}