• Log InLog In
  • Register
Liquid`
Team Liquid Liquipedia
EDT 15:14
CEST 21:14
KST 04:14
  • Home
  • Forum
  • Calendar
  • Streams
  • Liquipedia
  • Features
  • Store
  • EPT
  • TL+
  • StarCraft 2
  • Brood War
  • Smash
  • Heroes
  • Counter-Strike
  • Overwatch
  • Liquibet
  • Fantasy StarCraft
  • TLPD
  • StarCraft 2
  • Brood War
  • Blogs
Forum Sidebar
Events/Features
News
Featured News
Serral wins HomeStory Cup 2914Serral wins Maestros of the Game 243ByuL, and the Limitations of Standard Play3Team Liquid Map Contest #22: Results and Winners7Code S Season 2 (2026): RO4 and Finals Preview12
Community News
IntoTheTV X SOOP SC2 League : Weekly & Monthly4Clem: "I don't have that much hope in Blizzard"2ZeroSpace Early Access is Now Live!25Weekly Cups (July 13-19): Terran & Protoss rise; Zerg falters2Balance hotfix patch 5.0.16b (July 16)90
StarCraft 2
General
What's the best tug of war? Reynor: GSL Loss Wasn't About Preparation Format Balance hotfix patch 5.0.16b (July 16) How would you feel about frequent/monthly balance patches for SC2? Clem: "I don't have that much hope in Blizzard"
Tourneys
IntoTheTV X SOOP SC2 League : Weekly & Monthly INu's Battles#18 - Cure, herO, Rogue & ByuN RSL Revival: Season 6 - Qualifiers and Main Event Master Swan Open (Global Bronze-Master 2) WardiTV Summer Cup 2026
Strategy
[G] Having the right mentality to improve
Custom Maps
[M] (2) Industrial Park New Map Maker - Looking for Advice - Love or Hate
External Content
Mutation # 535 Assembly of Vengeance The PondCast: SC2 News & Results Mutation # 534 Burning Evacuation Mutation # 533 Die Together
Brood War
General
BGH Auto Balance -> http://bghmmr.eu/ ASL22 General Discussion BW General Discussion How Famous was FlaSh before his Debut? Animated Gateway
Tourneys
Escore Tournament - Season 3 Small VOD Thread 2.0 [Megathread] Daily Proleagues [IPSL] Spring 2026 Grand Finals - This Weekend!
Strategy
Simple Questions, Simple Answers PvT advise for noobs Fighting Spirit mining rates Creating a full chart of Zerg builds
Other Games
General Games
ZeroSpace Early Access is Now Live! Path of Exile General RTS Discussion Thread Nintendo Switch Thread Diablo IV
Dota 2
Looking for a Dota Mentor Official 'what is Dota anymore' discussion
League of Legends
TSM pausing esports and CLG Dead
Heroes of the Storm
Heroes of the Storm 2.0
Hearthstone
Deck construction bug
TL Mafia
TL Mafia Community Thread TL Mafia Power Rank NeO.D_StephenKing vs This Guy From 1 Million Dance Vanilla Mini Mafia
Community
General
US Politics Mega-thread Artificial Intelligence Thread Russo-Ukrainian War Thread How to buy a book - shipping from Korea to Europe The Games Industry And ATVI
Fan Clubs
The IdrA Fan Club The HerO Fan Club!
Media & Entertainment
Anime Discussion Thread Series you have seen recently... Movie Discussion! [Req][Books] Good Fantasy/SciFi books
Sports
TeamLiquid Health and Fitness Initiative For 2023 2024 - 2026 Football Thread Formula 1 Discussion MLB/Baseball 2023 McBoner: A hockey love story
World Cup 2022
Tech Support
Computer Build, Upgrade & Buying Resource Thread Simple Questions Simple Answers FPS when play League Of Legend on laptop
TL Community
Northern Ireland Global Starcraft The Automated Ban List
Blogs
How Games can Help with Majo…
TrAiDoS
Hello guys!
LIN1s
ASL S22 English Commentary…
namkraft
Poker (part 2)
Nebuchad
An Exploration of th…
waywardstrategy
Customize Sidebar...

Website Feedback

Closed Threads



Active: 4026 users

[SC2B Key Contest]Supply Depot Forts

Blogs > yh8c4
Post a Reply
yh8c4
Profile Blog Joined July 2009
108 Posts
Last Edited: 2010-04-13 12:51:57
April 13 2010 09:40 GMT
#1
CONTEST IS OVER! WINNER: forti

I have a unused friend invite key, which you are able to win by being the first to answer the following question:

First we need some definitions:

A supply depot fort is a square center area surrounded by an arbitrary number of supply depot rings. A ring either completely surrounds the center area or another ring.

Example 1 (just treat submerged depots as if there were no depots at that location)

Let's say your fort must be made of exactly eight supply depots, then the only valid configuration is this one:

[image loading]

---

Example 2:
If you use 32 depots, there are two valid configurations:

[image loading]

[image loading]

---

We define s to be the number of used supply depots and nC(s) to be the number of valid supply depot fort configurations made of s supply depots (e.g. nC(32) = 2).

Furthermore let's say you have exactly one million supply depots at your disposal and you can choose any amount x of those supply depots to build a fort.

We define f(n) to be the number of different x for which nC(x) = n.

Example:
+ Show Spoiler +

'f(13) = 123' means: there are 123 different values for x, so that for each of those x there are exactly 13 distinct, valid supply depot fort configurations.

f(13) is not necessarily 123, I just made that up, but to check if you're on the right way, here is a hint:

+ Show Spoiler +

Calculate f(15). edit: f(15) = 832
Multiply the result with 123456.
Go here
Enter this text:

GxD4AhayOeDnC8oY7wKGVhRJ3BTPYiTxfomXV4SLiWTpSHmxa3C7+/v3ONNbTbeRZ7ZEhG0xHMV6R5aU0CL1gA==

Use what you calculated as password and decrypt.
Decrypted text should be 'correct'




Here comes the questions worth the beta key:

What is the sum of f(1)+ f(2) + ... + f(9) + f(10)?

Answer
+ Show Spoiler +

209566

forti's (annotated) c++ solution

#include <stdio.h>
#include <string.h>
#include <stdlib.h>
//standard C libraries

int array[1000005];
//array that stores the number of solutions using 1-1000000 supply depots

int main()
{
memset(array,0,sizeof(array));
//setting everything to 0 initially

for(int i=1;i<=249999;i++)
//the width of center blank square AKA, i am assuming an
//i x i square. 249999 is the maximum width possible with
//1000000 supply depots used (1000000-4)/4
{
int sum=0;
//the number of boxes used at the moment

//the following section of the code basically adds
//"supply depot layers" to the center square 1 by 1
for(int j=i;;j+=2)
{
int k=j*4+4;
sum+=k;
if(sum>1000000) break;
array[sum]++;
}
}
int temp,c;
c=0;

//the final part computes f(1) to f(10) from what was
// found previously
for(temp=1;temp<=10;temp++)
{
for(int i=1;i<=1000000;i++)
{
if(array[i]==temp)c++;
}
}
printf("%d\n",c);
system("PAUSE");
}



---

Some details:

- My bnet account is on Europe and I don't know if the person using the friend key will also have to use a european account. Maybe someone can clarify that for me.

- I not only want the correct answer, I also want a little explanation why your answer is correct (source code, or just a short text describing the way you arrived at the solution)

- You can either post your entry in this blog or send me a pm.

- You are not limited to one guess, but please be reasonable and don't just bomb me with all integers from 1-100000 or something

- I will check this thread and pms periodically and let you know when I checked a possible solution

- The problem is kinda difficult, but I'm rather mediocre at maths and I was able to solve it after (quite) some time so I'm confident someone will find the solution.

Good luck!

edit1: just some definition clarifications
edit2: we have a winner. edited in the solution

***
CaucasianAsian
Profile Blog Joined September 2005
Korea (South)11598 Posts
Last Edited: 2010-04-13 09:50:01
April 13 2010 09:49 GMT
#2
why'd you close your other blog? meaning what was the answer to the other question?
Calendar@ Fish Server: `iOps]..Stark
Moletrap
Profile Blog Joined July 2007
United States1297 Posts
April 13 2010 10:05 GMT
#3
Awesome contest!
aka Moletrap
forti
Profile Blog Joined April 2010
Singapore9 Posts
April 13 2010 10:14 GMT
#4
+ Show Spoiler +

my answer is 209566
using:

#include <stdio.h>
#include <string.h>
#include <stdlib.h>

int array[1000005];
int main()
{
memset(array,0,sizeof(array));
for(int i=1;i<=249999;i++)//center square
{
int sum=0;
for(int j=i;;j+=2)
{
int k=j*4+4;
sum+=k;
if(sum>1000000) break;
array[sum]++;
}
}
int temp,c;
c=0;
for(temp=1;temp<=10;temp++)
{
for(int i=1;i<=1000000;i++)
{
if(array[i]==temp)c++;
}
}
printf("%d\n",c);
system("PAUSE");
}

yh8c4
Profile Blog Joined July 2009
108 Posts
Last Edited: 2010-04-13 10:54:56
April 13 2010 10:41 GMT
#5
the contest is already over, forti is the new owner of the beta key.

For anyone still interested in solving the question:

The described problem is a obfuscated version of this, so if you open an account there you can check your solution there (or you could just peek into forti's spoiler)

Seems like i kinda underestimated the possibility to brute force, but when I worked on that problem, my main difficulties were understanding and abstracting the problem and coming up with an algorithm. forti was much faster on that part, and thus is a worthy winner imo. Have fun playing sc2.

Btw, the first problem i posted i didn't paraphrase at all (just screenshotted this), and didn't realize that because of that the solution was just one google search away, and that's why the first contest was cancelled.

Anyways, I'm out of beta keys, so I guess this can also be closed now
tyCe
Profile Joined March 2010
Australia2542 Posts
April 13 2010 10:46 GMT
#6
Damn it! I chose dinner over this and I paid the price.
Betrayed by EG.BuK
tarpman
Profile Joined February 2009
Canada723 Posts
April 13 2010 10:55 GMT
#7
I spent some time thinking about an elegant mathematical solution. Then I put that aside and wrote a bruteforce version very similar to forti's in Python... but it was still running when forti won damn Python's slowness!

forti, gg! nice first post!
Saving the world, one kilobyte at a time.
Zona
Profile Blog Joined May 2007
40426 Posts
April 13 2010 10:59 GMT
#8
heh, I was watching KT vs STX and only saw this after the second set - like tarpman, had something in python going.

But then again I don't really crave a beta key close to as much as others here, so it's fine.
"If you try responding to those absurd posts every day, you become more damaged. So I pay no attention to them at all." Jung Myung Hoon (aka Fantasy), as translated by Kimoleon
yh8c4
Profile Blog Joined July 2009
108 Posts
April 13 2010 11:07 GMT
#9
i'm quite surprised there are still so many people around here wanting a beta key. I had this key sitting in my inbox for quite some time, but for some reason i thought there wasn't much demand anymore
madnessman
Profile Blog Joined May 2009
United States1581 Posts
April 13 2010 11:17 GMT
#10
On April 13 2010 20:07 yh8c4 wrote:
i'm quite surprised there are still so many people around here wanting a beta key. I had this key sitting in my inbox for quite some time, but for some reason i thought there wasn't much demand anymore


You should probably donate it to one of those poor starcraft players who didn't get a key *cough madnessman cough*....
yh8c4
Profile Blog Joined July 2009
108 Posts
Last Edited: 2010-04-13 11:19:31
April 13 2010 11:18 GMT
#11
On April 13 2010 20:07 yh8c4 wrote:
i'm quite surprised there are still so many people around here wanting a beta key. I had this key sitting in my inbox for quite some time, but for some reason i thought there wasn't much demand anymore


Perguvious
Profile Blog Joined November 2008
United States1783 Posts
April 13 2010 11:53 GMT
#12
On April 13 2010 19:14 forti wrote:
+ Show Spoiler +

my answer is 209566
using:

#include <stdio.h>
#include <string.h>
#include <stdlib.h>

int array[1000005];
int main()
{
memset(array,0,sizeof(array));
for(int i=1;i<=249999;i++)//center square
{
int sum=0;
for(int j=i;;j+=2)
{
int k=j*4+4;
sum+=k;
if(sum>1000000) break;
array[sum]++;
}
}
int temp,c;
c=0;
for(temp=1;temp<=10;temp++)
{
for(int i=1;i<=1000000;i++)
{
if(array[i]==temp)c++;
}
}
printf("%d\n",c);
system("PAUSE");
}


*sigh* I just didn't understand any of that
krndandaman
Profile Joined August 2009
Mozambique16569 Posts
April 13 2010 12:06 GMT
#13
--- Nuked ---
josemb40
Profile Blog Joined March 2009
Peru611 Posts
April 13 2010 14:19 GMT
#14
congrats
wiiiiiiiiiiiiiiiii
GreEny K
Profile Joined February 2008
Germany7312 Posts
April 13 2010 15:07 GMT
#15
On April 13 2010 21:06 krndandaman wrote:
i've entered around 10 competitions for a sc2 beta key rofl


Ditto, maybe even more... Everyone's getting keys except me!! I even know people who won more than one some ever 3 but I still don't have one
Why would you ever choose failure, when success is an option.
krndandaman
Profile Joined August 2009
Mozambique16569 Posts
April 13 2010 15:11 GMT
#16
--- Nuked ---
ReketSomething
Profile Blog Joined November 2008
United States6012 Posts
April 13 2010 18:16 GMT
#17
One of my favorite contests so far ^^
Jaedong :3
jimminy_kriket
Profile Blog Joined February 2007
Canada5537 Posts
April 13 2010 18:47 GMT
#18
pretty neat
life of lively to live to life of full life thx to shield battery
3FFA
Profile Blog Joined February 2010
United States3931 Posts
Last Edited: 2010-04-13 21:07:41
April 13 2010 21:06 GMT
#19
wtf. This seems like a contest at school. I don't get to know about it until its already over/too late.

edit: I mean, this happened when I was asleep.... well I guess I've taken "you snooze you loose" to a new level lol.
"As long as it comes from a pure place and from a honest place, you know, you can write whatever you want."
Kenpachi
Profile Blog Joined August 2009
United States9908 Posts
April 13 2010 22:39 GMT
#20
On April 14 2010 00:11 krndandaman wrote:
Show nested quote +
On April 14 2010 00:07 GreEny K wrote:
On April 13 2010 21:06 krndandaman wrote:
i've entered around 10 competitions for a sc2 beta key rofl


Ditto, maybe even more... Everyone's getting keys except me!! I even know people who won more than one some ever 3 but I still don't have one


facebook's about to release a few more keys in 2hours on the starcraft fan page.

it's a F5 refreshing fest.

join the club. Were all Beta key contest failures
Nada's body is South Korea's greatest weapon.
Please log in or register to reply.
Live Events Refresh
Next event in 2h 46m
[ Submit Event ]
Live Streams
Refresh
StarCraft 2
RotterdaM 1055
ProTech111
BRAT_OK 97
RushiSC 41
ZombieGrub38
StarCraft: Brood War
Mong 214
ggaemo 119
Bale 35
Hyun 33
JYJ 23
Counter-Strike
fl0m4219
Heroes of the Storm
Liquid`Hasu339
KnowMe72
Other Games
Grubby2587
tarik_tv2186
singsing1854
shahzam600
B2W.Neo400
C9.Mang0174
UpATreeSC170
CosmosSc2 125
ArmadaUGS122
JuggernautJason83
QueenE76
Trikslyr47
Livibee41
XcaliburYe29
SteadfastSC19
Rex17
Organizations
StarCraft 2
angryscii 24
Blizzard YouTube
StarCraft: Brood War
BSLTrovo
[ Show 15 non-featured ]
StarCraft 2
• intothetv
• AfreecaTV YouTube
• Kozan
• IndyKCrew
• LaughNgamezSOOP
• Migwel
• sooper7s
StarCraft: Brood War
• blackmanpl 41
• FirePhoenix14
• BSLYoutube
• STPLYoutube
• ZZZeroYoutube
League of Legends
• Jankos1454
Other Games
• imaqtpie476
• Shiphtur437
Upcoming Events
OSC
2h 46m
Replay Cast
5h 16m
Korean StarCraft League
7h 46m
Afreeca Starleague
8h 46m
RSL Revival
13h 46m
Serral vs SHIN
herO vs Solar
Online Event
19h 46m
RSL Revival
1d 13h
Clem vs ByuN
Rogue vs Lambo
OSC
1d 16h
WardiTV Weekly
2 days
Sparkling Tuna Cup
3 days
[ Show More ]
INu's Battles
3 days
Cure vs herO
ByuN vs Rogue
PiGosaur Cup
4 days
The PondCast
4 days
Kung Fu Cup
4 days
Patches Events
4 days
Replay Cast
5 days
CrankTV Team League
5 days
Replay Cast
6 days
CrankTV Team League
6 days
Liquipedia Results

Completed

Proleague 2026-07-22
HSC XXIX
Eternal Conflict S2 E3

Ongoing

CSL 2026 Summer (S21)
KCM Race Survival 2026 Season 3
Escore Tournament S3: W4
RSL Revival: Season 6
CranK Gathers Season 4: BW vs SC2 Team League
SCTL 2026 Spring
BLAST Bounty Summer Qual
Stake Ranked Episode 3
XSE Pro League 2026
IEM Cologne Major 2026
Stake Ranked Episode 2
CS Asia Championships 2026
Asian Champions League 2026
IEM Atlanta 2026
PGL Astana 2026

Upcoming

ASL S22 SEASON OPEN Day 2
Escore Tournament S3: W5
ASL Season 22: Qualifier #1
ASL Season 22: Qualifier #2
CSLAN 4
ASL Season 22
Blizzard Classic Cup 2026
HSC XXX
SC4ALL II: StarCraft II
Kung Fu Cup 2026 Grand Finals
Light Tournament 2026
Eternal Conflict S2 Finale
ESL Pro League Season 24
Stake Ranked Episode 4
Logitech G Connect 2026
SL StarSeries Fall 2026
FISSURE Playground #5
BLAST Open Fall 2026
Esports World Cup 2026
BLAST Bounty Summer 2026
TLPD

1. ByuN
2. TY
3. Dark
4. Solar
5. Stats
6. Nerchio
7. sOs
8. soO
9. INnoVation
10. Elazer
1. Rain
2. Flash
3. EffOrt
4. Last
5. Bisu
6. Soulkey
7. Mini
8. Sharp
Sidebar Settings...

Advertising | Privacy Policy | Terms Of Use | Contact Us

Original banner artwork: Jim Warren
The contents of this webpage are copyright © 2026 TLnet. All Rights Reserved.