CF755B PolandBall and Game

Description

PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally?

Input Format

The first input line contains two integers $ n $ and $ m $ ( $ 1

Output Format

In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally.

Explanation/Hint

In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.