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: Accepted)

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

namespace ConsoleApplication2
{
    class Program
    {
        static void Main(string[] args)
        {

            //それぞれの行列の長さを読取。
            string strNML = Console.ReadLine();
            string[] strNMLArray = strNML.Split(' ');
            int intN = int.Parse(strNMLArray[0]);
            int intM = int.Parse(strNMLArray[1]);
            int intL = int.Parse(strNMLArray[2]);

            //行列Aを読取。
            int[,] matrixA = new int[intN, intM];
            for (int nIndex = 0; nIndex < intN; nIndex++)
            {
                string strNM = Console.ReadLine();
                string[] strNMArray = strNM.Split(' ');
                for (int mIndex = 0; mIndex < intM; mIndex++)
                {
                    matrixA[nIndex, mIndex] = int.Parse(strNMArray[mIndex]);
                }
            }

            //行列Bを読取。
            int[,] matrixB = new int[intM, intL];
            for (int mIndex = 0; mIndex < intM; mIndex++)
            {
                string strML = Console.ReadLine();
                string[] strMLArray = strML.Split(' ');
                for (int lIndex = 0; lIndex < intL; lIndex++)
                {
                    matrixB[mIndex, lIndex] = int.Parse(strMLArray[lIndex]);
                }
            }

            //行列Cを生成。
            long[,] matrixC = new long[intN, intL];
            long ingSum = 0;
            for (int rowC = 0; rowC < intN; rowC++)
            {
                for (int colC = 0; colC < intL; colC++)
                {
                    for (int mIndex = 0; mIndex < intM; mIndex++)
                    {
                        ingSum += matrixA[rowC, mIndex] * matrixB[mIndex, colC];
                    }
                    matrixC[rowC, colC] = ingSum;
                    ingSum = 0;
                }
            }

            //出力
            for (int row = 0; row < intN; row++)
            {
                for (int col = 0; col < intL; col++)
                {
                    if (col < intL - 1)
                    {
                        Console.Write("{0} ", matrixC[row, col]);
                    }
                    else
                    {
                        Console.Write(matrixC[row, col]);
                    }
                }
                Console.WriteLine();
            }
        }
    }

}