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.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[][] mat_A = new int[n][m];
		int[] mat_B = new int[m];
		int[] mat_C = new int[n];
		for(int i = 0; i<n; i++){
			for(int j = 0;j<m;j++){
				int mat_element = sc.nextInt();
				mat_A[i][j] = mat_element;
			}
		}

		for(int i=0;i<m;i++){
			int mat_element2 = sc.nextInt();
			mat_B[i] = mat_element2;
		}

		for(int i = 0;i<n; i++){
			for(int j = 0; j<m; j++){
				mat_C[i] += mat_A[i][j] * mat_B[j];
			}
		}

		for(int i = 0; i<mat_C.length; i++){
			System.out.println(mat_C[i]);
		}
	}
}