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 JAVA (judge verdict: Accepted)

/* ITP1_7_D */;
import java.io.*;

class Main
{
  public static void main(String[] args)
  {
    try{
      BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
      StringBuilder sb = new StringBuilder();

      String[] input = br.readLine().split(" ");
      int n = Integer.parseInt(input[0]);
      int m = Integer.parseInt(input[1]);
      int l = Integer.parseInt(input[2]);

      long[][] matrix_nm = new long[n][m];
      long[][] matrix_ml = new long[m][l];
      long[][] matrix_nl = new long[n][l];

      // input n*m
      for(int i = 0; i < n; i++){
        input = br.readLine().split(" ");
        for(int j = 0; j < m; j++){
          matrix_nm[i][j] = Integer.parseInt(input[j]);
        }
      }
      // input m*l
      for(int i = 0; i < m; i++){
        input = br.readLine().split(" ");
        for(int j = 0; j < l; j++){
          matrix_ml[i][j] = Integer.parseInt(input[j]);
        }
      }

      // calculation
      for(int i = 0; i < n; i++){
        for(int j = 0; j < l; j++){
          for(int k = 0; k < m; k++){
            matrix_nl[i][j] += matrix_nm[i][k] * matrix_ml[k][j];
          }
          sb.append(matrix_nl[i][j]).append(" ");
        }
        sb.deleteCharAt(sb.length() - 1);
        sb.append("\n");
      }
      System.out.print(sb);

    }catch(Exception e){
      System.out.println(e);
    }
  }
}