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){
        
        int[][] A=new int[100][100];
        int[][] B=new int[100][100];
        long[][] C=new long[100][100];
        int[] a=new int[100];
        int[] b=new int[100];
        long c=0;
        
        Scanner scan=new Scanner(System.in);
        
        int n=scan.nextInt();
        int m=scan.nextInt();
        int l=scan.nextInt();
        
        for(int i=0;i<n;i++){
            for(int j=0;j<m;j++){
                A[i][j]=scan.nextInt();
            }
        }        
        
        for(int i=0;i<m;i++){
            for(int j=0;j<l;j++){
                B[i][j]=scan.nextInt();
            }
        }
        
        for(int i=0;i<n;i++){
            for(int j=0;j<m;j++){
                a[j]=A[i][j];
            }
            
            for(int j=0;j<l;j++){
                for(int k=0;k<m;k++){
                    b[k]=B[k][j];
                }
                c=0;
                for(int k=0;k<m;k++){
                    c+=a[k]*b[k];
                }
                C[i][j]=c;
            }
        }
        
        for(int i=0;i<n;i++){
            for(int j=0;j<l-1;j++){
                System.out.print(C[i][j]+" ");
            }
            System.out.print(C[i][l-1]+"\n");
        }
        
    }   
     
}