# 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:

9814784899

2697735547

4695140783

2685741687

9178791981

0614014100

2207172710

2685457245

7892228882

4348203928

0379268891

4475260743

4315747047

3048730747

6349849469

0085255890

7619261192

4875888878

1695121649

3980838990

9069980396

7586770865

4812438309

8918882495

2600220896

1803922896

8695680696

6026333367

4260062040

6811081601

5999999959

5911989735

6026382975

9355933525

5096376104

6219956512

2518128521

0444508054

0563506530

8001110186

8255438026

0320808220

7167725580

6046506131

5304700520

4837331405

5686133503

0550548705

2020433268

4814558148

2202721712

9355043905

6822861268

3433333543

8595795887

2271217202

7969797676

3631331674

3589697674

0952511684

6129931687

4034837683

0903991077

7367884835

3046583676

1795706868

9550019865

1166116644

6882624866

2778782778

5015215205

3288809833

3927553538

0912298394

0957682950

6350548376

6957577599

6916010196

3112238113

0330300033

3927636292

6093202936

5598888595

5048141400

5194591955

6093181012

6083263259

7182142940

5094598937

6193195666

9883529777

5762907414

1448572310

1081783744

5843554445

1042700704

5468555896

9681911999

7343333733

5505505256

5759375379

0780457054

3363993364

9810857354

1901297368

9451257064

6073473084

9406198068

7610110827

1331183113

4433400344

9333338499

1767010114

3612640314

0893438034

0373543827

7310738914

8899899899

7449559954

8930580897

3192911911

3192942021

3145844100

8939509575

8132803924

8896975469

## The puzzle

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

6170676710

5971495071

0221412441

8080998888

5270909091

5081465086

6144405050

2180906248

6221698355

3831483562

3321446194

4881289031

8394706143

8263733826

3893433441

4281212124

3324232422

3819331133

0088088070

6633634563

5857881557

1777734017

5593618073

4377638834

0819688552

1062018567

3723014564

8778982911

9785708724

8155675021

8197721626

8785958588

9297429447

8558480455

1191211111

8172777187

4932249299

8284848484

7784347733

7355730575

7485323133

7284256642

7255325374

7334345938

0784738043

4741214187

1361851637

9395243455

4550419125

9587759187

1711717735

4454543457

3633753637

7162341623

7691997991

0006306000

4976699679

6668996989

7608380779

0028662728

0006310430

6028643949

4686624775

0867178887

1447674744

3562123352

4346334333

3547124881

3001190725

3846050182

0101190395

4466146015

8806868458

2882009280

7994474954

2494939429

5006039450

4931135824

0062638259

7248378284

8983568950

3373737392

1318372813

0414409412

8855151889

1458637914

8652851982

7340871384

7621833313

3478502844

2304145032

1131603624

0709201024

0613035404

4343333401

6554395434

0206000062

3224043024

3366623625

2497115442

8692339229

7240927204

5772112527

8482923748

2690941311

5272977315

8262918510

5270486755

4407135116

9014708158

7613935199

5952830290

2965935299

3554535140

1111118111

5150550251

8480004988

7257999241

2164221408

2414256208

8496253290

1999193991

3221222203

4866456348

9919891498

0444049240

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.

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