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"
   "os"
   "bufio"
   "strconv"
)
var sc = bufio.NewScanner(os.Stdin)

func main() {
  sc.Split(bufio.ScanWords)
  n := nextInt()
  m := nextInt()
  l := nextInt()
  vector1 := make([][]int, n)
  for i := 0; i < n; i++ {
    vector1[i] = make([]int, m)
    for j := 0; j < m; j++ {
      vector1[i][j] = nextInt()
	}
  }

  vector2 := make([][]int, m)
  for i := 0; i < m; i++ {
    vector2[i] = make([]int, l)
    for j := 0; j < l; j++ {
      vector2[i][j] = nextInt()
	}
  }

  for i := 0; i < n; i++ {
      for r := 0; r < l; r++ {
		sum := 0
        for q := 0; q < m; q++ {
			  sum = sum +vector1[i][q] * vector2[q][r]
        }
        fmt.Print(sum)
		if r != l - 1{
          fmt.Print(" ")
	    }
      }
      fmt.Println()
  }

}

func getStdin() (string) {
	sc.Scan()
	v := sc.Text()
	return v
}

func nextInt() (int) {
	sc.Scan()
	v, e := strconv.Atoi(sc.Text())
    if e != nil { panic(e) }
    return v
}

func nextFloat() (float64) {
	sc.Scan()
	v, e := strconv.ParseFloat(sc.Text(), 64)
    if e != nil { panic(e) }
    return v
}