H. How Far have You been?
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Farha loves to play hopscotch games. But if you do not know how to play, don't worry!

Suppose there is a large $$$10 \times 10$$$ grid, where each cell is numbered from $$$1$$$ to $$$100$$$. Initially, she is in the cell marked $$$1$$$ with a dice (a dice is a cube that has six faces containing distinct integers from $$$1$$$ to $$$6$$$) that she has to throw and move forward in the cells until she reaches $$$100^{th}$$$. But it has some ladders to climb up and some snakes to fall down. It's similar to what we see in a ludo board game!

The game continues in the following way:

Farha throws the dice and gets a number $$$k$$$. If she is at $$$i^{th}$$$ cell, she will reach at $$$(i+k)^{th}$$$ cell. In the continuation, she may catch a ladder top/bottom, be bitten by a snake or she may win reaching $$$100^{th}$$$ cell.

Currently, Farha is at $$$\textbf{94}$$$$$$^{th}$$$ cell. At this point, she'll throw the dice for once. And you'll be given a number $$$k$$$ that she is obtained by throwing the dice. Now, your task is to tell the condition of her after moving $$$k$$$ steps forward.

Input

The first (and only) line contains one integer $$$k$$$ $$$(1 \le k \le 6)$$$.

Output

If she reaches $$$100^{th}$$$, print "Yay! Farha has won the game. She is now at 100."

If she catches a ladder top/bottom, print "Farha is on ladder."

If she is bitten by a snake, print "Alas! Farha is bitten by snake. She is now at X." Here, X is the cell number she belongs to after she has been bitten.

Otherwise, print "Nothing happened to her."

Do not print quotation marks.

Examples
Input
1
Output
Alas! Farha is bitten by snake. She is now at 75.
Input
6
Output
Yay! Farha has won the game. She is now at 100.
Input
5
Output
Farha is on ladder.