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 Python (judge verdict: Runtime Error)

import sys

n, m, l = map(int, raw_input().split())
a = []
b = []
for i in range(n):
	a.append(map(int, raw_input().split()))
for i in range(m):
	b.append(map(int, raw_input().split()))

c = [[0 for i in xrange(n)] for j in xrange(l)]

for i in xrange(n):
	for j in xrange(l):
		for k in xrange(m):
			c[i][j] += a[i][k] * b[k][j]

for i in xrange(n):
	for j in xrange(l-1):
		sys.stdout.write(str(c[i][j])+" ")
	print c[i][l-1]