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;

namespace ITP_7_D{
    public class Program{
        static double[][] array1;
        static double[][] array2;

        public static void Main(string[] args){
            string[] temp = Console.ReadLine().Split(' ');
            int n = int.Parse(temp[0]);
            int m = int.Parse(temp[1]);
            int l = int.Parse(temp[2]);
            array1 = new double[n][];
            array2 = new double[m][];
            double[] answer = new double[l];

            //??\?????????????????¢??°????????????
            MakeArray1(n,m);
            MakeArray2(m,l);

            //?¨?????????????
            for(int i=0; i<n; i++){
                for(int k=0; k<m; k++){
                    for(int t=0; t<l; t++){
                        answer[t] += array1[i][k] * array2[k][t];
                    }
                }
                for(int z=0; z<l; z++){
                    if(z!=0) Console.Write(" ");
                    Console.Write(answer[z]);
                }
                answer = new double[l];
                Console.WriteLine();
            }
        }

        private static void MakeArray1(int row,int column){
            for(int i=0; i<row; i++){
                string[] test = Console.ReadLine().Split(' ');
                array1[i] = new double[column];
                for(int k=0; k<column; k++){
                    array1[i][k] = int.Parse(test[k]);
                }
            }
        }

        private static void MakeArray2(int row,int column){
            for(int i=0; i<row; i++){
                string[] test = Console.ReadLine().Split(' ');
                array2[i] = new double[column];
                for(int k=0; k<column; k++){
                    array2[i][k] = int.Parse(test[k]);
                }
            }
        }
    }
}