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# 2012-11-17: Puzzle - First to solve wins

For years I've had an idea in my head about a way to hide some information in a bunch of numbers. I actually got around to coding an implementation and figured I'd run a competition. The first person who figures out what the famous landmark is described by the second set of numbers below and posts the correct answer in the comments wins $100.

## The hint

Here's a hint. The following numbers are a reference to the Eiffel tower:

3814648334

0216826028

6726777766

7395979979

7316925702

9818625606

0386814298

0316657735

7316943819

5011202191

6264343623

4713004103

8302555852

6213322803

4820320443

4964354989

5011633415

6710088331

4928714014

5887914509

2367479786

5765789814

2339733383

4768788777

2985299882

5227929595

1884484814

4677934350

4189661068

4529960704

9129908975

4585954945

4587248227

1322991999

9675699679

6159951269

2915076549

2456735362

2955113307

5816346594

2950150512

9995399559

2845727578

5426026904

7116077176

3938449933

0783030373

1208812258

8680111808

1250147417

0230898606

1635081768

0688181503

8734014334

0229590592

2489882488

9628322333

8621710128

2491764921

8350300135

9398326666

9429351769

1320522797

0507709577

0186068307

4494942949

6454558465

5888859946

3816168406

4082768308

2450782677

2292100446

3404247302

3379797735

2576056302

1099519025

5272297002

6007267745

1661686305

7833259742

1661459701

7295323737

9169391199

5741991416

7211711111

9285780164

9281937993

5715362117

9241933719

2265345602

6562500722

5593691007

3525592625

6588541209

3505533355

7572875728

5983003950

6028666662

0668887668

4578085855

8806108168

6809306106

8120111082

6806146510

8823015338

4100198700

4103498706

8806195521

9933499925

6113756176

7819698628

4523693126

6623593635

9555555929

2644446426

8616898168

7887186176

3391793628

2808136699

2029830989

7483636953

5335933459

2326636902

8839991688

0399030943

6619196691

## The puzzle

Given the above hint, what famous landmark do the numbers below refer to?

6613331936

2353838853

2022122202

4527354773

2623369040

8627542029

2323330010

6513380118

4567136364

4876978496

8140646061

3814214444

9361191391

9891945851

9870808789

3146649451

9266810429

8866902149

1449244144

1915115141

3296939239

0962792077

1915785224

4998717491

0999701063

1265781885

4945291014

3923320933

6196090661

8474242578

8951151748

2170452528

2563632328

5686080728

6587781631

0248452529

2547525225

8963999998

4004504430

4715757174

4914901771

8504547673

4367504619

9963159280

4565574137

3131798464

3402717691

3332742218

9662762364

0638733176

9502122102

6441444461

3362423336

0192822292

9732087258

4316742999

4932555747

4232326979

3767337777

4233632234

9958775978

8136082603

4312334333

8855959555

2331888388

6101616110

2186518526

8805942204

2871540575

7321823470

8809912212

2359548272

5773557757

8632183686

0068500866

2053757038

8661562701

2032569710

2053767676

6572532773

0663551604

3559190355

7343920358

1211448334

6731458334

1331313314

5359559358

8885598555

0241520156

3223362335

5108680150

5019400419

5275450547

4106771476

7076789071

5106756992

4279050017

5109469972

4106410350

9308526998

8432117997

9217515992

0955214247

2692515692

6974424997

4925452949

8555515558

7766626217

7003470044

6666565265

3053550535

1273731772

1626921703

7723706626

6003560704

6666144020

4073522065

3733879738

9594592554

4099940199

0001116204

4647619554

0683196234

4618219998

1933479234

1254773298

Post the answer as a comment below. ~~The first person to answer correctly with an acceptable explanation to how the answer was reached (rather than just a guess) wins $100, so make sure to use your correct e-mail address so I can contact you.~~

**Note #1:** People have noted that the numbers change whenever the page is reloaded. That's as expected. This puzzle is *not* an *encryption* as much as it is an *obfuscation*. That the numbers change is not important, as only the pattern in them will lead to the answer, which is of course constant.

**Note #2:** There was a bug in my post for a short while, which made the hint and puzzle basically the resolve to the same answer. This is fixed now. If you saved a copy the numbers before, just grab a fresh set.

## Solved!

The second landmark was discovered by Batuhan Bozkurt, congratulations! The challenge has not yet been met entirely, though so I've decided to set a new challenge with the same method. ~~The same $100 prize applies~~.

Redditor Bearasaurus has solved the final challenge too! For hints, check the followup post.

## Comments

Big Ben

I'm afraid Big Ben is not it. But be sure to include some explanation as to how the answer was reached, so I know it isn't just a random guess.

I "solved" your puzzle, but I assume not in the way you wanted.

After giving it quite some hours, I failed to find any specific pattern (with a reasonable kolmogorov complexity) that would lead me to an answer. But in Reddit, you mentioned that you would be interested in statistical approaches that would lead to an answer (which I assume you are interested for increasing the security of the obfuscation?) so I exploited the fact that your website gives fresh batch of numbers at each reload so I grabbed about 1000 sets (with intervals in between, hopefully not causing trouble to your website, it handled the requests like a champ) and got to cracking.

Now your HTML formatting implies 10x10 blocks of data for each set. So that was a starting point when I first began looking at the problem. The grid is 70 x 20 so that implies 14 secret codes, 7 for each row.

I looked for what was common for each 10x10 block in each of the samples I gathered from your site. I found out that for each 10x10 block some digits occasionally never appears; for example in block 0x 0y, not all digits have to appear but one always appears at least once.

Once I looked at the remaining digits (that are common in all blocks at a particular coordinate), for the "hint", I was faced by these digits:

0485130

0021739

These are the coordinates in the form of degrees-minutes-seconds (dddmmss as you gave away generously in Reddit) of Eiffel Tower.

Once I ran the same process for the puzzle, the result was:

0295845

0310804

Which is the coordinates for the Great Pyramid of Giza.

Maybe this is disappointing, I don't know. If the website hadn't provided fresh batch of numbers, this method would not work. I assume, to strengthen the obfuscation, you could make sure one digit always appears at least once; but as long as the distribution isn't random, I suppose the answer could be extracted.

I've tried many approaches before this; I'm pretty confident that the pattern is not based on neighborhood relationships (as the answer can appear on edges, though wrapping around could be employed but still with it I failed to detect any patterns). I think it doesn't have anything (or much) to do with arithmetic on the digits (like summing / subtracting them). I tried various row/column patterns and couldn't come up with anything.

I also analyzed the 10x10 blocks containing the answer digits only once (so if the answer is 0 for that block, 0 appears only once in that block). But saw no obvious pattern at all. So this beats me in that regard.

If I am eligible for the prize for my answer, I would kindly ask you to donate it to the Doctors Without Borders foundation. If you are uncomfortable about it for some reason, you can choose to donate it somewhere else you see fit.

Thanks for the challenge, and although my curiosity has been partly satisfied, I'm still waiting for the answer that will allow me to solve this using a pen and paper using a single set of numbers.

Batuhan, the answer is indeed correct. The Great Pyramid of Giza is the one I was looking for. The method you used is indeed not the one I was hoping for, as you haven't actually figured out the way the coordinates are encoded into the sets of numbers.

Still, I'm not one to dictate how the problem should be solved. I will make a donation to Doctors Without Borders for $100 in your name and post proof that I have done so.

Since I would very much like for somebody to solve the method, I'm including this static problem for a second attempt, and another $100. Being in a comment, the following set obviously does not change and encodes a third landmark.

2626513077384364666346599932245309032974209496921885110948315551555613

6549028370497764766953274173448611231555969009312435020244378244262894

9308377132331493394457637801172312372974892873367485438142538547446457

5987478672136633636156339295109196283474021313920015080695500005010510

9318473400638833698356337893287640679475088481921818727043921551931599

5758758671181690400516397336912974972974211231362065019596695870416497

1701226107698865022553554534544375771374969996927993180831110067651597

3203310324331357320447629709425333533533932743923435767555759732852649

0008077080336367751344339394399228589625005440340517458583553308156594

7467243472134765226056779555595344734475199118911888022882025906466417

0332300493776667648725560571112261196221231229957486429403779342535143

1366338577707417047142278890548676887286598087756091175002210326130060

5863902088494574497542911473583959753975898054668946115111760583633056

3673921092972792959782223331128568968982838265801286279605628360969080

5301986352763553665223261861393193111359891776463941295493449120391390

0463999640662807648743557375531417213379281451584481179187119326988940

4352555243298062697573961379660934698929891289118894828988929160129317

1871110111741174649945428445570098658283038728302510575750510526949009

3326333663020967498782260828822839081251556075505536114445618120357157

5602990599311067698721073220721651596922796029092045295295550390501233

The challenge now is to find the answer and a step by step description of how to extract the correct digits from it.

## Post a comment