SPOJ.com - Problem SUMUP

SUMUP - Sum the Series

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Nilendu is a brilliant student of Mathematics and always scores A+ in it. His professor RamjiLal is quite impressed seeing his mathematical skills and asks him to sum the following series:

1/3 + 2/21 + 3/91 + 4/273 + .....

But the fact is Nilendu is quite lazy to do his assignment. He has to watch a film and many other activities to do. So he asks you for your help. Will you be able to solve it ??

Input

Input consists of t (number of test cases), then t line follows, each containing an integer N (1 <= N <= 10,000).

Output

A single line containing the sum upto Nth integer (rounded upto 5 digits)

Example

Input:
5
1
2
3
4
5

 Output:
0.33333
0.42857
0.46154
0.47619
0.48387

Edit: The score is your source length. The smaller your code is, the more point you will get. All the solutions have been rejudged !!!

Submit solution!

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	Mostafa 36a2: 2013-08-09 15:41:18 I told you @Mitch :) I'm afraid of 34-byte code :D Thank God
	Mostafa 36a2: 2013-08-07 06:44:59 @Ouditchya Sinha Thanks Man ,wish you do better :) I'm stuck now in SQDIFF ,it's nice but 42 byte is a bit tough there :p
	Ouditchya Sinha: 2013-08-06 18:35:39 Oh! I wish I could cut down the last couple bytes & make it 35B. @ Mostafa 36a2 (Al3ayesh) : Congratulations Again Man! You are on fire. :)
	Mostafa 36a2: 2013-08-01 10:57:12 OK,sorry for this ,i'm just afraid of 34-byte code :D the 35 one is on :) also i'm sure you can do it :) Enjoy Last edit: 2013-08-01 11:01:17
	Mitch Schwartz: 2013-08-01 10:24:29 @Mostafa: I also prefer you to resubmit the 35-byte solution, but of course it's your choice. (Unless you have a reason for disqualifying other than what you mentioned, e.g. relying on broken test data.) Last edit: 2013-08-02 02:35:13
	Mostafa 36a2: 2013-08-01 09:03:22 Actually , I only want the points :p so my 36-byte will be enough for now :) good job @ওয়াসী (Wasi) ;) (Edit): I've disqualified it , I don't want to be alone in the rank list :p any way, there is a 35-byte if some buddy reach it i'll resubmit my code . Last edit: 2013-08-01 09:33:41
	ওয়াসী (Wasi): 2013-08-01 08:05:05 oh man! after trying hard when i managed a 36B solution,now the best score is 35B! thank you Mostafa. Edit: Strange, 35 B solution vanished! Mostafa please keep your 35B solution buddy. Its a motivation for me. I will try harder to reach it No problem at all :) Last edit: 2013-08-01 09:10:37
	Mostafa 36a2: 2013-08-01 06:05:53 @Mitch :D following your steps Boss ;)
	Mitch Schwartz: 2013-08-01 05:59:24 @Mostafa: Congrats! :) Intrigued...
	Mostafa 36a2: 2013-08-01 02:22:49 Thank GOD :)

Submit solution!

Added by:	Better late than never !!!
Date:	2012-06-20
Time limit:	1s
Source limit:	50000B
Memory limit:	1536MB
Cluster:	Cube (Intel G860)
Languages:	All except: ASM64
Resource:	RamjiLal Sir