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: Wrong Answer)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintStream;
import java.io.StreamTokenizer;
import java.util.InputMismatchException;


public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in); 
		Printer pr = new Printer(System.out); 

		int n = sc.nextInt();
		int m = sc.nextInt();
		int l = sc.nextInt();
		
		int[][] a = new int[n][m];
		int[][] b = new int[m][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();
			}
		}

//		int[][] c = new int[n][l];
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < l; j++) {
				int c = 0;
				for (int k = 0; k < m; k++) {
//					c[i][j] += a[i][k] * b[k][j];
					c += a[i][k] * b[k][j];
				}
				if (j != 0) {
					pr.print(" ");
				}
				pr.print(c);
			}
			pr.println("");
		}

		pr.close();
		sc.close();
	}

	@SuppressWarnings("unused")
	private static class Scanner {
		InputStreamReader isr;
		BufferedReader br;
		StreamTokenizer st;

		private Scanner() {
		}

		Scanner (InputStream in) {
			isr = new InputStreamReader(in);
			br = new BufferedReader(isr);
			st = new StreamTokenizer(br);
		}

		String next() throws RuntimeException  {
			try {
				if (st.nextToken() != StreamTokenizer.TT_WORD) {
				}
			} catch (IOException e) {
				throw new IllegalStateException();
			}

			return st.sval;
		}

		int nextInt() throws RuntimeException {
			try {
				if (st.nextToken() != StreamTokenizer.TT_NUMBER) {
					throw new InputMismatchException();
				}
			} catch (IOException e) {
				throw new IllegalStateException();
			}

			return (int)st.nval;
		}

		void close() {
		}
	}

	@SuppressWarnings("unused")
	private static class Printer {
		PrintStream out;
		StringBuffer strbuf;
		int bufSize;
		final String CR;

		Printer(PrintStream out) {
			this.out = out;
			strbuf = new StringBuffer();
			bufSize = 64 * 1024;
			CR = System.getProperty("line.separator");
		}

		void println(String str) {
			strbuf.append(str);
			strbuf.append(CR);
			checkStringBuffer();
		}

		void print(String str) {
			strbuf.append(str);
			checkStringBuffer();
		}

		void println(int n) {
			strbuf.append(n);
			strbuf.append(CR);
			checkStringBuffer();
		}

		void print(int n) {
			strbuf.append(n);
			checkStringBuffer();
		}

		void print(char c) {
			strbuf.append(c);
			checkStringBuffer();
		}

		void printArray(int[] array) {
			for (int i = 0; i < array.length; i++) {
				checkStringBuffer();
				strbuf.append(array[i]);
				strbuf.append(" ");
			}
			strbuf.delete(strbuf.length() - 1, strbuf.length());
			strbuf.append(CR);
		}

		void close() {
			flashStringBuffer();
		}

		private void flashStringBuffer() {
			if (strbuf.length() > 0) {
				out.print(strbuf);
				strbuf.setLength(0);
			}
		}

		private void checkStringBuffer() {
			if (strbuf.length() > bufSize) {
				out.print(strbuf);
				strbuf.setLength(0);
			}
		}
	}
}