Rahma has been getting really rusty at chess, so when some others asked to verse her online, she decided to make a program to play chess for her instead. Although, she's also rusty at programming, so she'll only be simulating the chessboard. Using $1$'s and $0$'s for black and white. Although, she also forgot the size of the chessboard, so she needs to make a program that generalizes all chessboard sizes, given any positive integer for the height and width.

Input Specification

The input will be two integers, the width $W$ $(1\le W\le 100)$ and the height $H$ $(1\le H\le 100)$.

Output Specification

Output a checkerboard pattern with a width of $W$ and a height of $H$. Let the top left square be a $0$.

Sample Input 1

5
3

Sample Output 1

01010
10101
01010

Sample Input 2

6
4

Sample Output 2

010101
101010
010101
101010