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: Wrong Answer)

using System;
//using System.Collections.Generic;
//using System.Linq;
//using System.Text;
//using System.Threading;
using System.IO;

namespace Sweet
{
    class Program
    {
        static StreamWriter writer = null;
        private static int MAXARY=200;

        static void setstdio(string[] args)
        {
            if (0 < args.Length)
            {
                // Redirect standard input from the console to the input file.
                Console.SetIn(new StreamReader(args[0]));
                if (args.Length == 2)
                {
                    // Attempt to open output file.
                    writer = new StreamWriter(args[1]);
                    // Redirect standard output from the console to the output file.
                    Console.SetOut(writer);
                }
            }

        }
        static void fillmatrix(int m, int n, int[,] ary)
        {
            int i, j,a;

            for (i = 0; i < m; i++)
            {
                string str = Console.ReadLine();
                for (j = 0; j < n; j++)
                {
                    a = str.IndexOf(" ");
                    if (0 <= a)
                    {
                        ary[i, j] = int.Parse(str.Substring(0, a));
                        str = str.Substring(a + 1);
                    }
                    else
                        ary[i, j] = int.Parse(str.Substring(0));
                }
            }
        }
        private static int Sweep()
        {
            Int32 m, n, l,i, j, k, sum;
            Int32[,] first=new Int32[MAXARY, MAXARY], second = new Int32[MAXARY, MAXARY], multiply = new Int32[MAXARY, MAXARY];

            string str = Console.ReadLine();
            m = int.Parse(str.Substring(0, str.IndexOf(" ")));
            str=str.Substring(str.IndexOf(" ")+1);
            n = int.Parse(str.Substring(0, str.IndexOf(" ")));
            str = str.Substring(str.IndexOf(" ") + 1);
            l = int.Parse(str);
            fillmatrix(m, n, first);
            fillmatrix(n, l, second);
            for (i = sum = 0; i < m; i++)
            {
                for (j = 0; j < l; j++)
                {
                    for (k = 0; k < n; k++)
                    {
                        sum = sum + (first[i, k] * second[k, j]);
                    }

                    multiply[i, j] = sum;
                    sum = 0;
                }
            }
            for (i = 0; i < m; i++)
            {
                for (j = 0; j < l; j++)
                {
                    if (j != 0)
                        Console.Write(" ");
                    Console.Write("{0}", multiply[i, j]);
                }
                        Console.WriteLine();
            }

            return 0;
        }
        static void Main(string[] args)
        {
            setstdio(args);

            Sweep();
            if (writer != null)
                writer.Close();
            //Console.ReadLine();
        }
    }
}