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