Square It Up

Problem code: AD5

All submissions for this problem are available.

A square piece of paper with integer dimensions NxN is placed with a corner at the origin and two of its sides along the x- and y-axes. Then, we cut it up respecting the following rules:

1.We only make straight cuts between two points lying on different sides of the square, and having integer coordinates.

2.Two cuts cannot cross, but several cuts can meet at the same border point.

3.Proceed until no more legal cuts can be made.

Counting any reflections or rotations as distinct, we call C(N) the number of ways to cut an NxN square.

Input

First line contains the number of test cases t(1<=t<=1000) and followed by t lines which contain various values of n(1<=n<=330).

Output

For each value of n, print value of C(n) MOD (10^8)

Example

Input:
2
1
2

Output:
2
30

Explanation
For n=2, answer is

Author: killer17
Date Added: 28-02-2010
Time Limit: 2 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC


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