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: Wrong Answer)

using System;
using System.Linq;

class Problem {
    public static void Main() {
        var nml = Console.ReadLine().Split().Select(int.Parse).ToArray();
        var a = new int[nml[0], nml[1]];
        for (var i = 0; i < nml[0]; i++) {
            var data = Console.ReadLine().Split().Select(int.Parse).ToArray();
            for (var j = 0; j < nml[1]; j++)
                a[i, j] = data[j];
        }
        var b = new int[nml[1], nml[2]];
        for (var i = 0; i < nml[1]; i++) {
            var data = Console.ReadLine().Split().Select(int.Parse).ToArray();
            for (var j = 0; j < nml[2]; j++)
                b[i, j] = data[j];
        }
        var c = new int[nml[0], nml[2]];
        for (var i = 0; i < nml[0]; i++)
            for (var k = 0; k < nml[1]; k++)
                for (var j = 0; j < nml[2]; j++)
                    c[i, j] += a[i, k] * b[k, j];
        for (var i = 0; i < nml[0]; i++)
            for (var j = 0; j < nml[2]; Console.Write(++j != nml[2] ? " " : "\n"))
                Console.Write(c[i, j]);
                
    }
}