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;

namespace Test
{
    class MainClass
    {
        public static void Main(string[] args)
        {
            var inputs = Console.ReadLine().Split();
            var n = int.Parse(inputs[0]);
            var m = int.Parse(inputs[1]);
            var A = new int[n][];
            for (int i = 0; i < A.Length; i++)
            {
                A[i] = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
            }
            var B = new int[m][];
            for (int i = 0; i < B.Length; i++)
            {
                B[i] = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
            }
            var C = new int[A.Length, B[0].Length];

            for (int y = 0; y < C.GetLength(0); y++)
            {
                for (int x = 0; x < C.GetLength(1); x++)
                {
                    var temp = 0;
                    for (int i = 0; i < B.Length; i++)
                    {
                        temp += A[y][i] * B[i][x];
                    }
                    C[y, x] = temp;
                }
            }

            for (int y = 0; y < C.GetLength(0); y++)
            {
                for (int x = 0; x < C.GetLength(1); x++)
                {
                    Console.Write("{0}", C[y, x]);
                    if (x == (C.GetLength(1) - 1)) break;
                    Console.Write(" ");
                }
                Console.WriteLine();
            }
        }
    }
}