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, bt;

process.stdin.setEncoding('ascii');
process.stdin.on('data', function (chunk) {
	var line, ary;
	line = chunk.toString().split(/\r?\n/);
	for (i in line) {
		ary = line[i].split(' ');
		if (ary.length !== 0) line[i] = ary.map(Number);
	}
	n = line[0][0];
	m = line[0][1];
	l = line[0][2];
	a = line.slice(1, n+1);
	b = line.slice(n+1, n+m+1);
});

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

	make_b_transpose();

	for (i in a) {
		ci = [];
		for (j in bt) {
			ci.push(inner_product(a[i], bt[j]));
		}
		console.log(ci.join(' '));
	}
});

function make_b_transpose() {
	var j, k, bj;
	bt = [];
	for (j = 0; j < l; j++) {
		bj = new Int16Array(m);
		for (k = m - 1; k >= 0; k--)
			bj[k] = b[k][j];
		bt.push(bj);
	}
}

function inner_product(a, b) {
	var res = 0;
	for (var i in a) res += a[i] * b[i];
	return res;
}