CF112B Petya and Square
Description
Little Petya loves playing with squares. Mum bought him a square $ 2n×2n $ in size. Petya marked a cell inside the square and now he is solving the following task.
The task is to draw a broken line that would go along the grid lines and that would cut the square into two equal parts. The cutting line should not have any common points with the marked cell and the resulting two parts should be equal up to rotation.
Petya wants to determine whether it is possible to cut the square in the required manner given the sizes of the square side and the coordinates of the marked cell. Help him.
Input Format
The first line contains three space-separated integers $ 2n $ , $ x $ and $ y $ ( $ 2
Output Format
If the square is possible to cut, print "YES", otherwise print "NO" (without the quotes).
Explanation/Hint
A sample test from the statement and one of the possible ways of cutting the square are shown in the picture:
