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 Go (judge verdict: Accepted)

package main

import "fmt"

/*
 <url:http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ITP1_7_D&lang=jp>
 */

func init() {
}

func main() {
	var n, m, l int
	fmt.Scanf("%d %d %d", &n, &m, &l)

	a := make([][]int, n)
	b := make([][]int, m)
	c := make([][]int, n)

	for i := 0; i < n; i++ {
		a[i] = make([]int, m)
		for j := 0; j < m; j++ {
			fmt.Scanf("%d", &a[i][j])
		}
	}
	for j := 0; j < m; j++ {
		b[j] = make([]int, l)
		for k := 0; k < l; k++ {
			fmt.Scanf("%d", &b[j][k])
		}
	}
	for i := 0; i < n; i++ {
		c[i] = make([]int, l)
		for k := 0; k < l; k++ {
			for j := 0; j < m; j++ {
				c[i][k] += a[i][j] * b[j][k]
			}
		}
	}
	for i := 0; i < n; i++ {
		for k:=0;k < l;k++ {
			fmt.Print(c[i][k])
			if k != l-1{
				fmt.Print(" ")
			}
		}
		fmt.Println("")
	}
}