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();
        long[][] A = new long[N][M];
        long[][] B = new long[M][L];
        long[][] C = new long[N][L];
        for (int n = 0; n < N; n++) {
            for (int m = 0; m < M; m++) {
                A[n][m] = sc.nextInt();
            }
        }
        for (int m = 0; m < M; m++) {
            for (int l = 0; l < L; l++) {
                B[m][l] = sc.nextInt();
            }
        }
        for (int n = 0; n < N; n++) {
            StringBuilder sb = new StringBuilder();
            for (int l = 0; l < L; l++) {
                for (int m = 0; m < M; m++) {
                    C[n][l] += A[n][m] * B[m][l];
                }
                sb.append(C[n][l]);
                if (l < L - 1) sb.append(' ');
                else System.out.println(sb);
            }
        }
    }
}