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;

class Main {
  public static void main(String args[]) {
	  	Scanner scanner = new Scanner(System.in);
	  	int  matrixALine = scanner.nextInt();
	  	int  matrixARow = scanner.nextInt();
	  	int  matrixBRow = scanner.nextInt();
	  	long[][] arrayA;//配列確保
	  	long[][] arrayB;//配列確保
	  	long[][] arrayC;//配列確保
		arrayA = new long[matrixALine + 10][matrixARow + 10];
		arrayB = new long[matrixARow + 10][matrixBRow + 10];
		arrayC = new long[matrixALine + 10][matrixBRow + 10];
		long sum = 0;
  	
		//初期化
		
		// Aのデータ入力
		for (int i = 0; i < matrixALine; i++) {
			for (int j = 0; j < matrixARow; j++) {
				arrayA[i][j] = scanner.nextInt();
		    }
		}
		// Bのデータ入力
		for (int i = 0; i < matrixARow; i++) {
			for (int j = 0; j < matrixBRow; j++) {
				arrayB[i][j] = scanner.nextInt();
		    }
		}
		
		// Cのデータ作成
		for(int i = 0; i < matrixALine; i ++){
			for(int k  = 0; k <matrixBRow; k ++){
				for(int j = 0; j < matrixARow; j ++){
					sum += arrayA[i][j] * arrayB[j][k];
				}
				arrayC[i][k] = sum;
				sum = 0;
			}
		}
  		
		//出力
		for (int i = 0; i < matrixALine; i++) {
			for (int j = 0; j < matrixBRow; j++) {
		        if(j == (matrixBRow -1) )
					System.out.println(arrayC[i][j] );
		        else
					System.out.print(arrayC[i][j] + " ");
		    }
		}
		scanner.close();
	}
}