*A delta wave is a high amplitude brain wave in
humans with a frequency of 1 - 4 hertz which can be recorded with an
electroencephalogram (EEG) and is usually associated with slow-wave
sleep (SWS).
*

*-- from Wikipedia*

Researchers have discovered a new kind of species called "otaku",
whose brain waves are quite strange.
The delta brain waves for the otaku
can be approximated by a polygonal line in the 2D coordinate system.
The line is a route from point (0, 0) to (*N*, 0), and it
is moves only to the right (up, down or straight) at every
step. It never dips below the x axis.

For example, here are all 9 kinds of delta waves for *N* = 4:

Given *N*, you are asked to find out how many kinds of different delta waves an otaku has.

There will be no more than 20 test cases.
There is only one line for each case, containing an integer *N* (2 < *N* ≤ 10000)

Output one line for each test case. Because the answer may be quite large,
you need only output the answer modula 10^{100}.

3 4

4 9

The submit project tag for this assignment is `wave`.
For your convenience, here is a submission form for this assignment.

file 1=wave.hsCourse=funProject=wave |