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 area#################
def zero(n,m):
	A=list()
	for i in range(n):
		A+=[[0]*m]
	return A
##########################

k=map(int,raw_input().split(" "))

A=zero(k[0],k[1])
B=zero(k[1],k[2])
C=zero(k[0],k[2])

#A_set
for i in range(k[0]):
	ipt=map(int,raw_input().split(" "))
	for j in range(k[1]):
		A[i][j]+=ipt[j]
#B_set
for i in range(k[1]):
	ipt=map(int,raw_input().split(" "))
	for j in range(k[2]):
		B[i][j]+=ipt[j]
#C_set
for i in range(k[0]):
	for j in range(k[2]):
		for l in range(k[1]):
			C[i][j]+=A[i][l]*B[l][j]
#print_C
for i in range(k[0]):
	for j in range(k[2]):
		if j==k[2]-1:
			print C[i][j]
		else:
			print C[i][j],