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: Runtime Error)

# coding: utf-8
def main():
    n, m, l = map(int, raw_input().split())
    mat_A = [] # (n, m)
    mat_B = [] # (m, l)
    for i in range(n):
        mat_A.append(map(int, raw_input().split()))

    for j in range(m):
        mat_B.append(map(int, raw_input().split()))

    for i in range(n):
        c = [0 for g in range(n)]
        for j in range(l):
            for k in range(m):
              #  print "n:{}, m:{}, l:{}".format(i,k,j)
                c[j] += mat_A[i][k] * mat_B[k][j]
        print " ".join(map(str, c))
if __name__ == "__main__":
    main()