G. Going to the kiosk
time limit per test
1 second
memory limit per test
1024 megabytes
input
standard input
output
standard output

Darío wants to buy an alfajor at the kiosk, which costs $$$A$$$ pesos (the Argentinian currency). He only has a $$$B$$$ peso bill, which is enough to buy it. However, the kiosk owner does not like to give change in pesos and prefers to give it in candies. Each candy costs $$$C$$$ pesos.

In the following figure, we can see alfajores and candies similar to those available at the kiosk.

Can the kiosk owner give Darío the exact change with candies?

Input

A line with three integers $$$A$$$, $$$B$$$, and $$$C$$$ ($$$1 \leq A,B,C \leq 1000$$$ and $$$A \lt B$$$), which indicate respectively the price of the alfajor, the value of Darío's bill, and the price of each candy.

Output

A line with the uppercase letter "S" if the kiosk owner can give Darío the exact change with candies, or the uppercase letter "N" otherwise.

Examples
Input
10 20 5
Output
S
Input
6 10 3
Output
N
Note

In the first example, the kiosk owner can give Darío two candies as change.

In the second example, the kiosk owner cannot give the full change with candies. If he gives one candy to Darío, he falls short, while if he gives two candies, he goes over.