CF697A Pineapple Incident

Ted has a pineapple. This pineapple is able to bark like a bulldog! At time $ t $ (in seconds) it barks for the first time. Then every $ s $ seconds after it, it barks twice with $ 1 $ second interval. Thus it barks at times $ t $ , $ t+s $ , $ t+s+1 $ , $ t+2s $ , $ t+2s+1 $ , etc. Barney woke up in the morning and wants to eat the pineapple, but he can't eat it when it's barking. Barney plans to eat it at time $ x $ (in seconds), so he asked you to tell him if it's gonna bark at that time.

The first and only line of input contains three integers $ t $ , $ s $ and $ x $ ( $ 0

Print a single "YES" (without quotes) if the pineapple will bark at time $ x $ or a single "NO" (without quotes) otherwise in the only line of output.

In the first and the second sample cases pineapple will bark at moments $ 3 $ , $ 13 $ , $ 14 $ , ..., so it won't bark at the moment $ 4 $ and will bark at the moment $ 3 $ . In the third and fourth sample cases pineapple will bark at moments $ 3 $ , $ 11 $ , $ 12 $ , $ 19 $ , $ 20 $ , $ 27 $ , $ 28 $ , $ 35 $ , $ 36 $ , $ 43 $ , $ 44 $ , $ 51 $ , $ 52 $ , $ 59 $ , ..., so it will bark at both moments $ 51 $ and $ 52 $ .