Rectangles (1) X26853

Statement

Write a program that prints rectangles with $n\times m$ values $(n+m)\mod 5$ ’s.

Input

Input consists of several pairs of natural numbers.

For every pair $(n,m)$ , print a rectangle of size $n \times m$ full of $(n+m)\mod 5$ ’s. Separate two rectangles with an empty line.

Public test cases

Input

3 3
2 5
6 4

Output

Input

Output

Input

5 5
7 5
5 7

Output

Information