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 Python (judge verdict: Accepted)

def set_matrix (num,matrix):
    for i in xrange(num):
        x = map(int,raw_input().split(" "))
        matrix.append(x)

n,m,l = map(int, raw_input().split())

a = []
b = []
set_matrix(n,a)
set_matrix(m,b)

b_t = list(map(list,zip(*b)))

for i in xrange(n):

    result = []
    for j in xrange(l):
        result.append( sum([x*y for x,y in zip(a[i], b_t[j]) ]))
    print " ".join(map(str,result))