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 JavaScript (judge verdict: Runtime Error)

var n, m, l, a = [], b = [];

process.stdin.setEncoding('ascii');
process.stdin.on('data', function (chunk) {
	var line, ary, i, j, k, ai, bk;
	line = chunk.toString().split(/\r?\n/);
	for (i in line) {
		ary = line[i].split(' ');
		if (ary.length !== 0) line[i] = ary.map(Number);
	}

	ary = line.shift();
	n = ary[0];
	m = ary[1];
	l = ary[2];

	for (i = 0; i < n; i++) {
		ary = line.shift();
		ai = new Int16Array(m);
		for (k in ary) ai[k] = ary[k];
		a.push(ai);
	}

	for (j = 0; j < l; j++) b.push(new Int16Array(m));
	for (k = 0; k < m; k++) {
		bk = line.shift();
		for (j = 0; j < l; j++) b[j][k] = bk[j];
	}

	process.stdin.close();
});

process.stdin.on('close', function() {
	var i, j, k, ci;

	for (i in a) {
		ci = "";
		for (j in b) {
			ci = ci + inner_product(a[i], b[j]) + " ";
		}
		console.log(ci.trim());
	}
});

function inner_product(a, b) {
	var k, res = 0;
	for (k = m - 1; k >= 0; k--) res += a[k] * b[k];
	return res;
}