TJANDRAS  Tjandra 19th birthday (EASY)
This day (7 February 2013) is my 19th birthday So, I want to celebrate it on SPOJ by making this EASY puzzle problem.
This game/puzzle is about matches, given n matches, your task is to arrange the matches (not necessarily all) such that number of rectangle (any size) is maximum.
Input
First line there is an integer T≤100 then T lines follow, each line contain an integer n<1.000.000.000.
Output
For each test case, output required answer (maximum number of rectangles)
Example
Input:
5
3
4
8
12
15
Output:
0
1
3
9
12
Explanation
>First test case: No rectangle can be formed with only 3 matches
>Second test case: Only one rectangle can be formed with 4 mathes
>Third test case:
there are max 3 rectangles (2 size 1x1, 1 size 2x1) can be formed with number of matches<=8, here is one of the mathes formation:
>Fourth test case:
there are max 9 rectangles (4 size 1x1, 2 size 2x1, 2 size 1x2, 1 size 2x2) can be formed with number of matches <=12, here is one of the formation:
>Fifth test case:
there are max 12 rectangles (5 size 1x1, 3 size 2x1, 1 size 3x1, 2 size 1x2, 1 size 2x2) can be formed with number of matches <=15, here is one of the formation:
Information
Time limit≈150x my program speed, Enjoy this birthday party game, I set this problem such that semi naive solution will pass..
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praveen123:
20130208 14:47:18
Happy Birthday !!! 

abdelkarim:
20130207 22:04:27
happy birthday Tjandra !! .


(Tjandra Satria Gunawan)(æ›¾æ¯…æ˜†):
20130207 18:57:34
@all: Thanks :D 

c[R]@zY f[R]0G:
20130207 17:48:03
Happy birthday, Tjandra!! 

Francky:
20130207 09:07:12
I wish you the best for the coming year ; happy birthday, speedy Tjandra. 

Ikhaduri:
20130207 08:00:15
Happy birthday, man :) 

Ehor Nechiporenko:
20130207 07:07:53
Happy birthday, Tjandra!! 
Added by:  Tjandra Satria Gunawan 
Date:  20130207 
Time limit:  3.263s 
Source limit:  19000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  Just Watch This Video! I Uploaded it 1 year ago 