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 $*t*$, $*t* + *s*$, $*t* + *s* + 1$, $*t* + 2*s*$, $*t* + 2*s* + 1$, 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.

Input

The first and only line of input contains three integers $*t*$, $*s*$ and $*x*$ ($0 ≤ *t*, *x* ≤ 10^{9}$, $2 ≤ *s* ≤ 10^{9}$) — the time the pineapple barks for the first time, the pineapple barking interval, and the time Barney wants to eat the pineapple respectively.

Output

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.

Note

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 $52$.