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
-- 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 10100.
The submit project tag for this assignment is wave. For your convenience, here is a submission form for this assignment.