Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

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.io.*;
import java.util.*;

public class Main{
  public static void main(String[] args){
    Scanner sc=new Scanner(System.in);
    int n=sc.nextInt();
    int m=sc.nextInt();
    int l=sc.nextInt();
    long A[][];
    long B[][];
    long C[][];
    A=new long [n][m];
    B=new long [m][l];
    C=new long [n][l];
    for(int i=0;i<n;i++){
      for(int j=0;j<m;j++){
        A[i][j]=(long)sc.nextInt();
      }
    }
    for(int i=0;i<m;i++){
      for(int j=0;j<l;j++){
        B[i][j]=(long)sc.nextInt();
      }
    }
    for(int i=0;i<n;i++){
      for(int j=0;j<l;j++){
        for(int k=0;k<m;k++){
          C[i][j]+=A[i][k]*B[k][j];
        }
      }
    }
    for(int i=0;i<n;i++){
      for(int j=0;j<l;j++){
        System.out.print(C[i][j]);
        if(j!=l-1) System.out.print(" ");
        else System.out.println();
      }
    }
  }
}