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)

import java.util.*;
import java.io.*;

public class Main{
  public static void main(String[] args){
    Scanner scanner = new Scanner(System.in);
    int n = scanner.nextInt();
    int m = scanner.nextInt();
    int l = scanner.nextInt();
    int[][] A = new int[n][m];
    int[][] B = new int[m][l];
    long[][] C = new long[n][l];

      for(int i=0;i<n;i++){
        for(int j=0;j<m;j++){
          A[i][j] = scanner.nextInt();
        }
      }

      for(int i=0;i<m;i++){
        for(int j=0;j<l;j++){
          B[i][j] = scanner.nextInt();
        }
      }

      for(int i=0;i<n;i++){
        for(int j=0;j<l;j++){
          C[i][j] = 0;
          for(int k=0;k<m;k++){
            C[i][j] = C[i][j] + (long)A[i][k]*B[k][j];
          }
        }
      }

      for(int i=0;i<n;i++){
        for(int j=0;j<l;j++){
          if(j==l-1){
            System.out.println(C[i][j]);
          }else{
            System.out.print(C[i][j] + " ");
          }
        }
      }

    }
}