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"

func readMatrix(n int, m int) *[][]int {
	a := make([][]int, n)
	for i := 0; i < n; i++ {
		a[i] = make([]int, m)
		for j := 0; j < m; j++ {
			fmt.Scan(&a[i][j])
		}
	}
	return &a
}

func main() {
	var n, m, l int
	fmt.Scan(&n, &m, &l)

	a := *readMatrix(n, m)
	b := *readMatrix(m, l)
	// fmt.Println(a, b)

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