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Math Problem

Blogs > FFGenerations
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FFGenerations
Profile Blog Joined April 2011
7088 Posts
April 18 2015 20:02 GMT
#1
I wonder if anyone out there would like to try out this Math Problem.

I have a 2D grid of boxes. The grid can go 4 boxes wide and infinite boxes deep, but the box fills width-wise first and we only want it to be as deep as it has to be.

For a number n of boxes in the grid, how many boxes deep does the grid need to be?


Some people suggested that I use

gridDepth = (numberOfBoxes+4)/4


However I'll show you the problem it causes.........

2 boxes is fine

[image loading]

3 boxes we suddenly leap down and have an unused row

[image loading]

6 boxes we're looking better again

[image loading]

But then back to jumping to the next row prematurely.......

[image loading]


Now I know nothing about math so I thought maybe you guys could take a look :/

Cool BW Music Vid - youtube.com/watch?v=W54nlqJ-Nx8 ~~~~~ ᕤ OYSTERS ᕤ CLAMS ᕤ AND ᕤ CUCKOLDS ᕤ ~~~~~~ ༼ ᕤ◕◡◕ ༽ᕤ PUNCH HIM ༼ ᕤ◕◡◕ ༽ᕤ
micronesia
Profile Blog Joined July 2006
United States24758 Posts
April 18 2015 20:10 GMT
#2
So you need 1 row for 1,2,3,4 boxes; you need 2 rows for 5,6,7,8 boxes, 3 rows for 9,10,11,12 boxes, etc. In other words:

1 --> 1
2 --> 1
3 --> 1
4 --> 1
5 --> 2
6 --> 2
7 --> 2
8 --> 2
9 --> 3
etc

What happens if we divide the number of boxes by the number of boxes per row? We should get rows:

1 --> 1/4
2 --> 1/2
3 --> 3/4
4 --> 1 (correct)
5 --> 5/4
6 --> 3/2
7 --> 7/2
8 --> 2 (correct)
9 --> 9/4

It looks like you can say #rows = ceiling(#boxes/4).
ModeratorThere are animal crackers for people and there are people crackers for animals.
The_Templar
Profile Blog Joined January 2011
your Country52797 Posts
April 18 2015 20:29 GMT
#3
Yeah, all you need for this is the floor/ceiling function instead of rounding to the nearest integer. If you can't do that you could just add two instead of four in your original equation, couldn't you?
Moderatorshe/her
TL+ Member
KingAlphard
Profile Blog Joined August 2012
Italy1705 Posts
Last Edited: 2015-04-18 20:36:39
April 18 2015 20:29 GMT
#4
The grid should have a depth that's an integer number. But I'm confused because, with n=3 the formula returns 7/4, and the grid is 2 boxes deep, so you would guess that rational numbers get rounded upwards.
Instead with n=6 the formula returns 10/4 = 2.5 but it's 2 boxes deep and not 3.

Besides try this formula that already returns the correct integer values:

f(n) = ( n + 3 - [ (n-1) mod 4 ] ) /4

n ; f(n)
0; (0+3-3)/4 = 0
1; (1+3-0)/4 = 1
2; (2+3-1)/4 = 1
3; (3+3-2)/4 = 1
4; (4+3-3)/4 = 1
5; (5+3-0)/4 = 2
6; (6+3-1)/4 = 2
7; (7+3-2)/4 = 2
8; (8+3-3)/4 = 2
9; (9+3-0)/4 = 3

etc.etc.
endy
Profile Blog Joined May 2009
Switzerland8970 Posts
Last Edited: 2015-04-18 20:36:21
April 18 2015 20:35 GMT
#5
I faced the same problem when I needed to return the quarter from a month number, and micronesia is right, I used the CEILING function in SQL.
ॐ
FFGenerations
Profile Blog Joined April 2011
7088 Posts
April 18 2015 21:28 GMT
#6
hey guys, nice responses, thanks ever so much.
someone has written me an answer here but i'm too stupid to figure out what he means to do with it
http://stackoverflow.com/questions/29722589/math-fomrula-for-populating-a-grid-with-boxes

also i'm literally hallucinating from coding nonstop, its pretty scarey
Cool BW Music Vid - youtube.com/watch?v=W54nlqJ-Nx8 ~~~~~ ᕤ OYSTERS ᕤ CLAMS ᕤ AND ᕤ CUCKOLDS ᕤ ~~~~~~ ༼ ᕤ◕◡◕ ༽ᕤ PUNCH HIM ༼ ᕤ◕◡◕ ༽ᕤ
HaRuHi
Profile Blog Joined November 2010
1220 Posts
Last Edited: 2015-04-18 22:13:57
April 18 2015 22:06 GMT
#7
for(String imageURL : imageURLs){

URL url = new URL(imageURL);

BufferedImage bi = ImageIO.read(url);
g.drawImage(bi, x, y, w, h, null);

x += 150;

here you increase x , and therefore with the if y aswell, wether or not another image has to be drawn, your loop logic is faulty, it might be enough to write x+= 150 at the end of the loop, after the if. edit: I think you acutally have to put it in an else

if(x >= result.getWidth()){
x = 0;
y += 200;
}

}

for(String imageURL : imageURLs){

URL url = new URL(imageURL);

BufferedImage bi = ImageIO.read(url);
g.drawImage(bi, x, y, w, h, null);

if(x >= result.getWidth()){
x = 0;
y += 200;
}else x += 150;

}
Maybe?
FFGenerations
Profile Blog Joined April 2011
7088 Posts
April 18 2015 22:20 GMT
#8
the problem with that (i think) is that the grid is drawn before everything else and set in stone, then the boxes come after
Cool BW Music Vid - youtube.com/watch?v=W54nlqJ-Nx8 ~~~~~ ᕤ OYSTERS ᕤ CLAMS ᕤ AND ᕤ CUCKOLDS ᕤ ~~~~~~ ༼ ᕤ◕◡◕ ༽ᕤ PUNCH HIM ༼ ᕤ◕◡◕ ༽ᕤ
FFGenerations
Profile Blog Joined April 2011
7088 Posts
Last Edited: 2015-04-18 22:30:09
April 18 2015 22:27 GMT
#9
OH YEAH WHOS THE MATHS GENIUS WHOS SO TIRED HES SEEING SPIDERS AND SHIT EVERYWHERE

int totalHeight = ((int) Math.ceil(((double)numberOfBoxes-1)/4))*200;

DAT -1 BABY
the power of elimination <- what the fuck is that term i can never fucking remember it

love it when i go to write my report and im like "yeah i totally asked someone for help and then put this -1 in there 5 hours later"
Cool BW Music Vid - youtube.com/watch?v=W54nlqJ-Nx8 ~~~~~ ᕤ OYSTERS ᕤ CLAMS ᕤ AND ᕤ CUCKOLDS ᕤ ~~~~~~ ༼ ᕤ◕◡◕ ༽ᕤ PUNCH HIM ༼ ᕤ◕◡◕ ༽ᕤ
HaRuHi
Profile Blog Joined November 2010
1220 Posts
Last Edited: 2015-04-18 22:47:48
April 18 2015 22:45 GMT
#10
Yeah, that would make a lot more sense^^. Other than that, this is defnitly a code-problem (not really math related), there is a big programming thread here on TL aswell.

edit: GZ^^
Cyx.
Profile Joined November 2010
Canada806 Posts
April 19 2015 00:08 GMT
#11
On April 19 2015 07:45 HaRuHi wrote:
Yeah, that would make a lot more sense^^. Other than that, this is defnitly a code-problem (not really math related), there is a big programming thread here on TL aswell.

edit: GZ^^

haha he's been spamming the programming thread with this shit for like a week now
FFGenerations
Profile Blog Joined April 2011
7088 Posts
Last Edited: 2015-04-19 16:12:53
April 19 2015 01:07 GMT
#12
speaking of which i am stuck again sitting here for an hour not knowing what to do about it completely mystified and at a loss

ive just got today now to connect the (working) imageuploader to the (working) image generator but suddenly even the simplest test function doesnt work when i put it on the spot where i want it to go

fixed (probably), need to call from a control function
Cool BW Music Vid - youtube.com/watch?v=W54nlqJ-Nx8 ~~~~~ ᕤ OYSTERS ᕤ CLAMS ᕤ AND ᕤ CUCKOLDS ᕤ ~~~~~~ ༼ ᕤ◕◡◕ ༽ᕤ PUNCH HIM ༼ ᕤ◕◡◕ ༽ᕤ
JieXian
Profile Blog Joined August 2008
Malaysia4677 Posts
April 20 2015 04:04 GMT
#13
homework thread disguised as a "math problem"

ahhh programming (along with several similar fields) can be so frustrating because there's an honest feedback loop and you can NOT be deluded into thinking you are great. If it doesn't work, it doesn't.

As compared to certain fields... "oh you don't like it because you just don't get it. Your opinion is subjective."

good luck
Please send me a PM of any song you like that I most probably never heard of! I am looking for people to chat about writing and producing music | https://www.youtube.com/watch?v=noD-bsOcxuU |
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