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.Scanner;

public class Main {
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);

        int n = sc.nextInt();
        int m = sc.nextInt();
        int l = sc.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 < l; j++)
                C[i][j] = 0;
        }

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

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

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

        sc.close();
    }
}