# 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:

5410617505

0163916065

4394196345

5109619027

8196196821

1169519365

1418414008

1992992921

7043097047

1599551922

7474474277

0001607036

7655776573

0455036513

0891431277

1218774912

8614027036

9818907212

0997007998

1442212144

3317361343

5310513450

0556092948

4518826129

1764617490

1708412959

5514817343

7812078122

6310961630

0662002600

4782577205

2062968793

6722038636

7812085577

7317994153

7662064473

3928559598

9318683931

8354333338

9386558325

8327543670

9326516698

9007718303

3358548902

9318225610

5774050544

6969769626

9155001515

2932535325

0975161583

6974059216

2915786839

0984567652

5952006695

9921969192

4868668400

7122767721

9581958955

9985255112

9567567101

2310407159

2605869925

1413965312

6466686604

4535552305

6611276214

3100313073

2737876508

2368673504

9073473304

1097412308

0605756104

6498526651

8938275102

7500595991

7479926533

3926556955

8470998444

7509809705

7192828767

6408248200

8095738806

2820955804

1013838367

4032038820

2522335825

8658885806

8376368394

6087630867

2226062800

8862454162

1881486556

4108196152

8258455182

8883335868

9932396302

5090770957

4466154116

3566558586

2727770217

0387773987

4445545564

0439390340

1002273097

2794075917

7660969097

3843490292

5472873087

2616161661

8691515819

7953173179

9548355433

7258168311

8658148999

2658182076

9908174372

2656170502

8574549237

4154410234

7409840457

1316875237

1030710037

1211919299

6160115634

4454141454

5332372253

## The puzzle

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

5966823255

7916213602

4916859907

4013765309

4049799094

2916818831

8061980896

7703703773

5619099165

3808146408

9822420598

0337740609

5251015951

1323330108

3311113308

2699662999

5545545459

6666626611

3207409048

5867745962

3704442345

6253722263

3706777737

2267422272

6053833453

7028407807

5394034395

6489075548

9651568868

6050503635

7018348749

6431516444

8690509395

7701377073

9018000019

7759474494

1619732881

9580887087

2639496889

6610700782

6680770980

0839638883

2618882116

9688466489

6509900900

5996136429

2893820350

5893170685

5882143994

2593192553

2896888269

1289828909

5922199225

5829685566

3910601903

8158555555

5227020705

6115551661

5008521948

6120018158

5958549889

8225953507

3115522160

7834030003

3284443884

7247074070

7886377681

8286909411

7236039646

8284011036

8884440684

7267952200

0218823366

0817510561

0818122717

0817161262

7894558945

0266402020

5608060000

0617109101

3818188181

1512889890

9306632058

6686039582

2370834960

5015939580

8226222682

9298889082

3880032850

8826824968

2814161071

7000442344

8060142204

6752631891

3830338074

4514441543

6281162691

6336834836

2152245201

1991525804

7954127334

2099404586

1859523962

2649595646

1952292522

3954453444

7889282089

8096109691

1209770764

7988788583

9288371456

9099308127

9098111190

4204746404

3414444133

4289338932

7909179770

8103122699

9504555435

4403744263

7907523449

9147391794

0903505030

8103111301

4471744474

7505557975

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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