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;
 
class Program
{
    static void Main()
    {
    	string[] s = Console.ReadLine().Split(' ');
		int n = int.Parse(s[0]);
		int m = int.Parse(s[1]);
		int l = int.Parse(s[2]);
    	
    	var A = new int [n, m];
    	var B = new int [m, l];
    	
    	for(int i = 0; i < n; i++) {
    		var t = Console.ReadLine().Split(' ');
    		
    		for(int j = 0; j < m; j++) {
    			A[i, j] = int.Parse(t[j]);
    		}
    	}
    	
    	for(int i = 0; i < m; i++) {
    		var t = Console.ReadLine().Split(' ');
    		
    		for(int j = 0; j < l; j++) {
    			B[i, j] = int.Parse(t[j]);
    		}
    	}

    	for(int i = 0; i < n; i++) {
    		var C = new int[l];
    		for(int j = 0; j < l; j++) {
    			for(int k = 0; k < m; k++) {
    				C[j] += A[i, k] * B[k, j];
    			}
    		}
    		var u = Array.ConvertAll(C, x=>x.ToString());
    		Console.WriteLine(string.Join(" ", u));
    	}
    }
}