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: Wrong Answer)

import java.io.*;

class Main{
  public static void main(String[] args) throws IOException{
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    String str1 = br.readLine();
    String[] str2 = str1.split(" ");
    int n = Integer.parseInt(str2[0]);
    int m = Integer.parseInt(str2[1]);
    int l = Integer.parseInt(str2[2]);

    int[][] matrixA = new int[n][m];
    int[][] matrixB = new int[m][l];
    int[][] matrixC = new int[n][l];

    for (int i = 0; i < n; i++){
      String[] str3 = br.readLine().split(" ");
      for(int j = 0; j < m; j++){
        matrixA[i][j] = Integer.parseInt(str3[j]);
      }
    }
    for (int i = 0; i < m; i++){
      String[] str4 = br.readLine().split(" ");
      for(int j = 0; j < l; j++){
        matrixB[i][j] = Integer.parseInt(str4[j]);
      }
    }
    for (int i = 0; i < n; i++){
      for (int j = 0; j < l; j++){
        for(int k = 0; k < m; k++){
          matrixC[i][j] += (matrixA[i][k] * matrixB[k][j]);
        }
      }
    }
    StringBuilder sb = new StringBuilder();
    for (int i = 0; i < n; i++){
      for (int j = 0; j < l; j++){
        if(j != l - 1)
          sb.append(matrixC[i][j]).append(" ");
        else{
          sb.append(matrixC[i][j]).append("\n");
        }  
      }
    }
    System.out.print(sb);
  }
}