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;
using System.Collections.Generic;
using System.Linq;

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

            var inputs = Console.ReadLine().Split(' ').Select(int.Parse).ToList();

            var n = inputs[0];
            var m = inputs[1];
            var l = inputs[2];

            var aVector = new int[n, m];
            var bVector = new int[m, l];

            var cVector = new int[n, l];

            for (int i = 0; i < n; i++)
            {
                var oneLine = Console.ReadLine().Split(' ').Select(int.Parse).ToList();
                for (int j = 0; j < m; j++)
                {
                    aVector[i, j] = oneLine[j];
                }
            }

            for (int i = 0; i < m; i++)
            {
                var oneLine = Console.ReadLine().Split(' ').Select(int.Parse).ToList();
                for (int j = 0; j < l; j++)
                {
                    bVector[i, j] = oneLine[j];
                }
            }

            for (int i = 0; i < n; i++)
            {
                //for (int j = 0; j < l; j++)
                //{
                //    cVector[i, j] += aVector[j, i] * bVector[i, j];
                //}
                for (int j = 0; j < l; j++)
                {
                    for (int k = 0; k < m; k++)
                    {
                        cVector[i, j] += aVector[i, k] * bVector[k, j];
                    }
                }
            }
            Console.WriteLine();

            for (int i = 0; i < n; i++)
            {
                var list = new List<int>();
                for (int j = 0; j < l; j++)
                {
                    list.Add(cVector[i, j]);
                }
                Console.WriteLine($"{string.Join(" ", list)}");
            }
        }
    }
}