Problem 1: Homework

Alice is a student at H.S. High School. Right now, she's not the happiest student in the world, as she has a whole bunch of math homework due tomorrow!

Her homework consists of A (1 ≤ A ≤ 100) math questions, which Alice is supposed to complete one after another. Each question takes M (1 ≤ M ≤ 100) minutes to complete.

As important as Alice's homework is, she's had some more important shows to watch first, leaving her with only T (1 ≤ T ≤ 100) minutes now remaining before her strict bedtime! She'd like to figure out whether she can complete all A homework questions within at most T minutes, or if they would require a combined total of strictly more than T minutes (in which case she'll use that time to come up with an excuse instead). Output "`Y`" (without quotes) if she still has time to finish her homework today, or "`N`" if she doesn't.

Input Format

The first line of input consists of a single integer, A.
The next line consists of a single integer, M.
The next line consists of a single integer, T.

Output Format

Output a single character, either "`Y`" if Alice can complete all A assignments within at most T minutes, or "`N`" otherwise.

```2
3
9
```

```Y
```

```4
3
11
```

```N
```

Sample Explanation

In the first case, the 2 assignments would require a total of 6 minutes, which is less than or equal to 9, meaning that Alice has time to complete them.

In the second case, the 4 assignments would require a total of 12 minutes, which is greater than 11, meaning that Alice won't have time to complete them.

Point Value: 3 (partial)
Time Limit: 2.00s
Memory Limit: 16M