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(),m=sc.nextInt(),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<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++) {
				long tmp=0;
				for(int k=0; k<m; k++) {
					tmp+= A[i][k]*B[k][j];
				}
				C[i][j]=tmp;
			}
		}

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

	}
}