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..
hide comments
Mostafa 36a2:
20130529 06:17:45
another discussion can break the problem by using the 0.5*0.5 rectangles and so on


Mostafa 36a2:
20130528 15:19:01
Before Try to Submit i have a question


abdou_93:
20130518 20:26:29
please any test caes ..!!


abdou_93:
20130518 19:51:44
please @Tjandra ..can you look at my submission (id>9294435)...


Hardik Rakholiya:
20130414 21:44:37
it says wrong answer though for all the no i entered i feel it gave right output on my computer... i used long long int for all the variables... so plz help!!


Goldie:
20130211 07:10:36
Happy Birthday bro :) :) .. Will try ur birthday puzzle ;) 

Kevin Sebastian:
20130211 05:19:30
will long long int suffice


:C++::
20130209 19:33:22
Happy b'dy... Tjandra 

Francky:
20130209 16:01:16
Python3 feasible check : OK.


Thotsaphon Thanatipanonda:
20130209 08:28:24
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 