Parenthesis

Problem code: DCE03

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The captain of TITANIC is a mathematics freak. He has recently been given a problem that he is unable to solve. And he has asked your help to solve it.
There are n numbers in a given expression.
X1 X2 X3 .... Xn
What is the number of ways to put parenthesis in the expression.
For n=4, the different ways are

(((x1.x2).x3).x4)
((x1.x2).(x3.x4))
(x1.((x2.x3).x4))
(x1.(x2.(x3.x4)))
((x1.(x2.x3)).x4)

Hence the required answer would be 5.

Input

The first line contains the number of test cases t <=10. Each of the next t lines contain single integers <=1000 denoting n.

Output

Display t lines containg the number of ways to put parenthesis in the expression of length n modulo 10000.

Example

Input:
2
4
5


Output:
5
14

Author:	uploader0
Date Added:	14-10-2009
Time Limit:	8 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, 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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Comments

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Please ignore any submissions

sally11 @ 27 Oct 2009 06:12 PM

Please ignore any submissions made by Sailesh Mittal.

Could you please check your

rahulakaneo @ 27 Oct 2009 06:51 PM

Could you please check your output file. I am quite sure my algorithm is correct but I am constantly getting WA.

The output is correct.

sally11 @ 27 Oct 2009 06:58 PM

The output is correct.

what is the answer for n=1?

delgoog @ 27 Oct 2009 07:15 PM

what is the answer for n=1?

output for n=1 is 1

sally11 @ 27 Oct 2009 07:30 PM

output for n=1 is 1

Can you give us one or two

jatinmehra @ 27 Oct 2009 08:56 PM

Can you give us one or two more sample cases.??

Because as far as i see my logic is quite right.

eg for 6 or 7..

I will help us understand problem well..

@admin some test cases plz

himz @ 27 Oct 2009 09:04 PM

@admin

some test cases plz

One more test case- input:

sally11 @ 27 Oct 2009 09:07 PM

One more test case-

input: 7

output: 132

Can any1 tel me wat wud b o/p

ashish_v_p @ 28 Oct 2009 01:10 AM

Can any1 tel me wat wud b o/p 4 n = 1000?

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