Jack has a machine. At time T (in seconds) it runs for the first time. Then every D seconds after it, it runs twice with 1 second interval. Thus it runs at times T, T + D, T + D + 1, T + 2D, T + 2D + 1, etc.

now due to some reasons he wants to destroy the machine but he can not do it in running state of machine Jack plans to destroy it at time x (in seconds), so he asked you to tell him if it's in running state at that time.

Input

• The first and only line of input contains three integers T, D and x (0≤ T, x ≤ 10^9,2 ≤ D ≤ 10^9) — the time the machine runs for the first time, the machine running interval, and the time at which Jack wants to destroy the machine respectively.

Output

• Print a single "YES" (without quotes) if the machine is running at time x or a single "NO" (without quotes) otherwise in the only line of output.