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 chess board. Using ~1~'s and ~0~'s for black and white. Although, she also forgot the size of the chess board, so she needs to make a program that generalizes all chess board sizes, given any positive integer for the height and width.
The input will be two integers, the width ~W~ ~(1 \le W \le 100)~ and the height ~H~ ~(1 \le H \le 100)~.
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
Sample Output 1
01010 10101 01010
Sample Input 2
Sample Output 2
010101 101010 010101 101010