Cook the Homework

Sakurako is preparing for her next programming lesson, which starts today at $14:00$, but she needs to finish her unfinished homework. The lesson starts in $a$ minutes, and completing the homework will take $b$ minutes. Fortunately, Sakurako worked on the homework for $c$ minutes yesterday.

Your task is to determine whether Sakurako can finish the remaining homework before the lesson starts.

For example, suppose the lesson starts in $5$ minutes, Sakurako's homework requires $6$ minutes to complete, and she has already worked on it for $2$ minutes. In this case, she needs $6-2=4$ minutes to finish it. Therefore, if she starts preparing for the lesson right away, she will complete her homework (and even have one extra minute left).

Input

A single line contains three integers $a$, $b$, and $c$ $(0\le a,b,c\le 360)$.

Output

Print "YES", if Sakurako has a chance to finish her homework before the lesson starts, or "NO" otherwise.

Examples

Note

The first example was explained in the legend.

In the second example, the lesson starts in $5$ minutes. Sakurako needs $8-3=5$ minutes to finish her homework. Therefore, she fits perfectly into her schedule.

In the fourth example, the lesson has already started, but the homework requires zero minutes to complete (was it oral homework?).

Scoring

You will receive a certain number of points if your solution works correctly for $c=0$; that is, Sakurako did not work on her homework yesterday.