CF230A Dragons

Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all $ n $ dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals $ s $ . If Kirito starts duelling with the $ i $ -th ( $ 1

The first line contains two space-separated integers $ s $ and $ n $ ( $ 1

On a single line print "YES" (without the quotes), if Kirito can move on to the next level and print "NO" (without the quotes), if he can't.

In the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to $ 2+99=101 $ . Now he can defeat the second dragon and move on to the next level. In the second sample Kirito's strength is too small to defeat the only dragon and win.