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;
class matrix{
    public static void Main(){
        String[] str = Console.ReadLine().Split(' ');
        int n = int.Parse(str[0]);
        int m = int.Parse(str[1]);
        int l = int.Parse(str[2]);
        int[,] m1 = new int[n,m];
        int[,] m2 = new int[m,l];
        for(int i=0; i<n; i++){
            str = Console.ReadLine().Split(' ');
            for(int j=0; j<m; j++){
                m1[i,j] = int.Parse(str[j]);
            }
        }
        for(int i=0; i<m; i++){
            str = Console.ReadLine().Split(' ');
            for(int j=0; j<l; j++){
                m2[i,j] = int.Parse(str[j]);
            }
        }
        for(int i=0; i<n; i++){
            for(int j=0; j<l; j++){
                long sum = 0;
                for(int k=0; k<m; k++){
                    sum+=m1[i,k]*m2[k,j];
                }
                if(j==(l-1)){
                    Console.WriteLine(sum);
                }
                else{
                    Console.Write(sum+" ");
                }
            }
        }
    }
}