• Log InLog In
  • Register
Liquid`
Team Liquid Liquipedia
EDT 05:07
CEST 11:07
KST 18:07
  • 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
[ASL22] Ro16 Preview: Rough Waters9[ASL22] Ro24 Preview: Siren's Call8[ASL22] Ro24 Preview: Summer's End9Serral wins HomeStory Cup 2915Serral wins Maestros of the Game 244
Community News
Weekly Cups (Aug 30-Sep 7): herO thrives amid growing schism8Official StarCraft website teases new content ahead of BlizzCon?124Stellar Fest TWO the Moon (Dec 16-20)9Weekly Cups (August 24-30): Patches' balance mod takes over3New 3v3 BGH Ladder (and more) on ShieldBattery!46
StarCraft 2
General
Weekly Cups (Aug 30-Sep 7): herO thrives amid growing schism SC4ALL: II Winner will earn a spot at HSC 30! SC4ALL II: StarCraft 2 Player Announcement 7/8 Nexon wins bid to develop StarCraft IP content, distribute Overwatch mobile game Balance hotfix patch 5.0.16b (July 16)
Tourneys
IntoTheTV X SOOP SC2 League : Weekly & Monthly 2026 GSTL Announcement Sparkling Tuna Cup - Weekly Open Tournament Sea Duckling Open (Global, Bronze-Diamond) Stellar Fest TWO the Moon (Dec 16-20)
Strategy
[G] Having the right mentality to improve
Custom Maps
Nexus Wars 2021 GUIDE [M] (2) Industrial Park
External Content
Mutation # 542 The Ascended Mutation # 541 Binary Choice The PondCast: SC2 News & Results Mutation # 540 Dodge This
Brood War
General
[D] Brainstorming a balance patch for Brood war Terran or Protoss Practice Partners (Official) BW General Discussion Official StarCraft website teases new content ahead of BlizzCon?
Tourneys
Escore Tournament - Season 3 Small VOD Thread 2.0 [Megathread] Daily Proleagues [ASL22] Ro16 Group A
Strategy
Replay Review Process - What do you do? Simple Questions, Simple Answers Odyssey Mineral Stack Saturation Game Theory for Starcraft
Other Games
General Games
Nintendo Switch Thread EVE Corporation Diablo IV [Maplestory Hardcore] Let's Play~!! General RTS Discussion Thread
Dota 2
Official 'what is Dota anymore' discussion
League of Legends
[TL LoL EUW IHs] Teemo shall perish 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
Community
General
US Politics Mega-thread Things Aren’t Peaceful in Palestine Russo-Ukrainian War Thread European Politico-economics QA Mega-thread Trading/Investing Thread
Fan Clubs
MarineLorD Fan Club The Creator Fan Club The ShoWTimE Fan Club
Media & Entertainment
Movie Discussion! Anime Discussion Thread
Sports
Football (Soccer) Thread TeamLiquid Health and Fitness Initiative For 2023 MLB/Baseball 2023
World Cup 2022
Tech Support
Computer Build, Upgrade & Buying Resource Thread
TL Community
The Automated Ban List Northern Ireland Global Starcraft
Blogs
Virtual Romance, Real-Life C…
TrAiDoS
Regacy Esports:Our Goa…
regacyesports
Dreaming of BW patches (mod…
c3rberUs
LOCKPICKING NOOB
LUCKY_NOOB
Customize Sidebar...

Website Feedback

Closed Threads



Active: 6141 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)11601 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
Canada5541 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 53m
[ Submit Event ]
Live Streams
Refresh
StarCraft 2
OGKoka 112
StarCraft: Brood War
Soma 203
EffOrt 164
Dewaltoss 75
yabsab 30
hero 24
NotJumperer 12
ajuk12(nOOB) 10
ZerO 9
Counter-Strike
olofmeister1042
byalli982
shoxiejesuss955
Other Games
summit1g18318
ceh9606
singsing570
KnowMe149
ZerO(Twitch)0
[ Show 13 non-featured ]
StarCraft 2
• LUISG 21
• StrangeGG 1
• AfreecaTV YouTube
• intothetv
• Kozan
• IndyKCrew
• Migwel
StarCraft: Brood War
• iopq 3
• BSLYoutube
• STPLYoutube
• ZZZeroYoutube
Dota 2
• lizZardDota2126
League of Legends
• Stunt301
Upcoming Events
Escore
53m
IntoTheTV X SOOP
1h 53m
CranKy Ducklings
1d
WardiTV Invitational
1d 1h
Cure vs Zoun
SHIN vs Classic
ByuN vs MaxPax
Percival vs YoungYakov
OSC
1d 11h
Sparkling Tuna Cup
2 days
WardiTV Invitational
2 days
Shopify Rebellion Sundays
2 days
Spirit vs Mixu
Clem vs TBD
RSL Revival
2 days
Serral vs Rogue
BlizzCon
2 days
IdrA vs MC
[ Show More ]
Replay Cast
2 days
Afreeca Starleague
3 days
WardiTV Weekly
3 days
Monday Night Weeklies
3 days
Afreeca Starleague
4 days
GSL
4 days
PiGosaur Cup
4 days
The PondCast
5 days
Kung Fu Cup
5 days
Replay Cast
5 days
KCM Race Survival
6 days
IntoTheTV X SOOP
6 days
Replay Cast
6 days
Liquipedia Results

Completed

Proleague 2026-09-10
PiG Sty Festival 8.0
Big Dog Cup 2026 Div 1

Ongoing

KCM Race Survival 2026 Season 3
K-JUNGMAN
ASL Season 22
Super Anchor Qualifying S3
CSL 2026 AUTUMN (S22)
Acropolis #5
Acropolis #5 - TRS
Escore Tournament S3: King of Kings
RSL Revival: Season 6
Calamity Invitational
FISSURE Playground #3
BLAST Open Fall 2026
Esports World Cup 2026
BLAST Bounty Summer 2026
BLAST Bounty Summer Qual
Stake Ranked Episode 3
XSE Pro League 2026

Upcoming

Acropolis #5 - GSA
Blizzard Classic Cup 2026
Acropolis #5 - GSB
Acropolis #5 - GSC
SC4ALL II: Brood War
HSC XXX
Stellar Fest 2: Lunar Cup
SC4ALL II: StarCraft II
Kung Fu Cup 2026 Grand Finals
RSL Offline Finals
Blizzard Classic Cup 2026
Stake Ranked Episode 6
BLAST Rivals Fall 2026
IEM Beijing 2026
Stake Ranked Episode 5
PGL Masters Bucharest 2026
1win Private Club #2
Thunderpick World Champ. '26
ESL Pro League Season 24
Stake Ranked Episode 4
1win Private Club #1
Logitech G Play Connect 2026
SL StarSeries Fall 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.