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: WA: Presentation Error)

//????????????
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

class Main {
	public static void main(String[] args) throws IOException{
		BufferedReader br =
				new BufferedReader(new InputStreamReader(System.in));
		StringBuilder sb = new StringBuilder();
		
		//??????A??¨??????B????????°????????°?????????
		String[] matrixStr = br.readLine().split(" ");
		
		int rowA = Integer.parseInt(matrixStr[0]);		//??????A????????°rowA
		int colA = Integer.parseInt(matrixStr[1]);		//??????A????????°colA
		int rowB = colA;								//??????B????????°rowB
		int colB = Integer.parseInt(matrixStr[2]);		//??????A????????°colA
		int[][] arrayA = new int[rowA][colA];
		int[][] arrayB = new int[rowB][colB];
		int[][] arrayC = new int[colB][rowA];
		
		//??????A???????´??????????
		for(int i=0; i<rowA; i++) {
			String[] arrayStrA = br.readLine().split(" ");
			for(int j=0; j<colA; j++) {
				arrayA[i][j] = Integer.parseInt(arrayStrA[j]);
			}
		}
		
		//??????B???????´??????????
		for(int i=0; i<rowB; i++) {
			String[] arrayStrB = br.readLine().split(" ");
			for(int j=0; j<colB; j++) {
				arrayB[i][j] = Integer.parseInt(arrayStrB[j]);
			}
		}
		
		for(int i=0; i<rowA; i++) {
			for(int j=0; j<colB; j++) {
				for(int k=0; k<colA; k++) {
					arrayC[i][j]= arrayC[i][j]+ (arrayA[i][k]*arrayB[k][j]);
				}
			}
		}
		for(int i=0; i<colB; i++) {
			for(int j=0; j<rowA; j++) {
				if(j==(rowA-1)) {
					sb.append(arrayC[i][j]);
				}
				else {
					sb.append(arrayC[i][j] + " ");
				}
			}
			sb.append("\n");
		}
		System.out.println(new String(sb));
	}

}