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: Wrong Answer)

using System;


namespace ConsoleApplication22
{
    class Program
    {
        static void Main(string[] args)
        {
            String[] input = Console.ReadLine().Split(' ');
            int n = int.Parse(input[0]);
            int m = int.Parse(input[1]);
            int l = int.Parse(input[2]);
            if (n < 1 && m < 1 && l < 1)
                n = m = l = 1;
            else if (n > 101 && m > 101 && l > 101)
                n = m = l = 100;

            int[,] A = new int[n, m];
            int[,] B = new int[m, l];

            for (int y = 0; y < n; y++)
            {
                String[] input2 = Console.ReadLine().Split(' ');
                for (int x = 0; x < m; x++)
                {
                    int an = int.Parse(input2[x]);
                    if (an < 0)
                        an = 0;
                    else if (an > 10000)
                        an = 10000;
                    A[y, x] = an;
                }
            }
            for (int y = 0; y < m; y++)
            {
                String[] input3 = Console.ReadLine().Split(' ');
                for (int x = 0; x < l; x++)
                {
                    int bn = int.Parse(input3[x]);
                    if (bn < 0)
                        bn = 0;
                    else if (bn > 10000)
                        bn = 10000;
                    B[y, x] = bn;
                }
            }
            int[,] C = new int[n, l];
            int cn = 0;
            for (int z = 0; z < n; z++)
            {
                for (int y = 0; y < l; y++)
                {
                    for (int x = 0; x < m; x++)
                    {
                        cn = A[z, x] * B[x, y];
                        C[z, y] = C[z, y] + cn;
                    }
                }
            }
            for (int y = 0; y < n; y++)
            {
                for (int x = 0; x < l; x++)
                {
                    Console.Write(C[y, x]);
                    if (x != l-1)
                        Console.Write(" ");
                }
                    Console.WriteLine("");
            }
        }
    }
}