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.Linq;
using System.Collections.Generic;
using static System.Console;

class P
{
    static void Main()
    {
        var a = ReadLine().Split().Select(int.Parse).ToList();
        int n = a[0], m = a[1], l = a[2];
        var A = new List<List<long>>();
        var B = new List<List<long>>();
        var C = new List<List<long>>();
        for (int i = 0; i < n; i++)
        {
            A.Add(ReadLine().Split().Select(long.Parse).ToList());
        }
        for (int i = 0; i < m; i++)
        {
            B.Add(ReadLine().Split().Select(long.Parse).ToList());
        }
        for (int ni = 0; ni < n; ni++)
        {
            for (int li = 0; li < l; li++)
            {
                long inner = 0;
                for (int mi = 0; mi < m; mi++)
                {
                    inner += A[ni][mi] * B[mi][li];
                }
                if (li > 0) Write(" ");
                Write(inner);
            }
            WriteLine();
        }
    }
}