# 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:

0076577908

0647815357

5601725806

1170818023

2556115826

3383373348

0708557508

0909027907

5137718073

2938074443

6228182802

7238895120

1978164951

6218552862

2924882244

4738134808

1967169111

7879888979

8789237691

1861512590

6424370941

7359075840

4554175541

0022120141

1743347613

8289882890

7990212990

7464204279

2466313584

2030713787

9036749555

8069790898

7376277827

9260662669

2464222664

0237577505

7605380409

7917291483

6110296062

7113344813

6615116615

7980287879

7111217712

0163333610

2405149101

3936564973

3126770169

8606786539

0740521739

1732137117

3106701336

0824747220

4940544404

9696299689

5060089181

7015082672

0997014162

7555610607

5175115187

4299989279

7771190167

1212612632

6616602601

8047177448

0168556158

0246406020

7496196719

7447583489

0088430162

0107402251

0447131899

7147173994

4018285874

3808955409

0508966400

3873852843

0255552600

4455568545

1511585811

6327456473

1511452124

7178831730

9181822189

7978677446

3111508234

3189519118

4948044644

7611671611

6171876666

9471819198

2002882240

1511111740

3434342543

9449994990

1265014140

1138749742

8095412793

2250412202

9440181142

9487414791

6037482892

3018627742

4563214871

2786712978

8177888791

0804224804

5214616542

8272507852

0060306463

1134243012

8498881984

8588555588

4911430963

5014953588

7275706582

3553354464

1469445484

8475191587

5554851458

7707057702

8699998698

0701098698

2455257751

6906231451

1588551791

0101951657

## The puzzle

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

4946075731

1944195260

2946235074

6986703449

4951751475

7950209099

1943149139

9986119896

6934039706

2898119878

9274942974

2687286288

3504950505

2877906066

2677245677

2574253940

9674982355

2524231322

0844999576

5302874946

7795272416

4574272598

7824979498

2997292799

9959595546

7277774972

0666077606

1775959977

8078000788

1695115913

8315333853

1083966403

2715057622

1795050537

8775923748

1175131195

3790845988

1461718918

0245423993

3338018995

9855115988

4394943293

8288112988

3881728317

4954616425

5462214350

9990918828

7629592448

7999969646

5922552595

9250222220

7499243442

0629906222

5657055775

5353156665

2451171099

0354598914

5454103716

0803130010

1394011941

2465116525

5841388811

5850505007

2022293722

9922429412

6922216922

4848778484

8576098322

8001874922

1039896382

2573796314

6570279482

1817705733

4197366466

8077052383

0818367806

0188771177

8049330931

1212661122

4857777788

7898089879

6616857668

7880008887

9335539355

8858338587

7192838587

2528138687

3722233885

4018239363

6947308367

5853335382

9952990545

8313380313

5551156551

0027850843

0841280541

7350729545

5989339385

0410050013

8558953803

2258880993

3251182056

2255569961

5852999525

9755159595

2238223222

8551555551

3077803706

3374444337

4318558833

9623962662

9190399391

3673947257

4624327966

9710440010

9698349847

4320392240

9098779507

6066969006

1556112156

4331130143

4053639056

3156569157

8394259113

7082839007

3089679157

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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