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.Collections.Generic;
using System.Linq;

class Program {
    static int Main(string[] args) {
        string[] v = Console.ReadLine().Split(' ');

        long n = long.Parse(v[0]);
        long m = long.Parse(v[1]);
        long l = long.Parse(v[2]);

        long[,] A = new long[n, m];
        long[,] B = new long[m, l];
        long[,] C = new long[n, l];

        for (long i = 0; i < n; i++) {
            string[] x = Console.ReadLine().Split(' ');

            for (long k = 0; k < x.Length; k++) {
                A[i, k] = long.Parse(x[k]);
            }
        }

        for (long i = 0; i < m; i++) {
            string[] x = Console.ReadLine().Split(' ');

            for (long k = 0; k < x.Length; k++) {
                B[i, k] = long.Parse(x[k]);
            }
        }


        for (long r = 0; r < n; r++) {
            for (long c = 0; c < l; c++) {

                for (long x = 0; x < m; x++) {
                    C[r, c] += A[r, x] * B[x, c];
                }
            }
        }

        for (long r = 0; r < n; r++) {
            for (long c = 0; c < l; c++) {
                if (c > 0) { Console.Write(" "); }
                Console.Write(C[r, c]);
            }
            Console.WriteLine(string.Empty);
        }

        return 0;
    }
}