# 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:

3402444444

6935753376

3986233822

4386556563

4286709830

5413552960

3203410489

3266140604

3906266315

5995334733

2092439241

3829478999

3671322671

8065338580

5621611266

6079477446

3382021228

2895598898

4498172198

0324586949

8977775129

1058479199

1931313199

8399373839

9999996999

4858525148

9625289226

1028297882

0628821885

5728868334

5218305621

5853353538

4228824842

8755225725

9000600990

1618881813

0019002301

8998699886

6699792767

0996795670

9227892377

0829790707

3124092388

9329629787

1061825750

0354294246

1726296448

6997296946

8202854946

8999596958

1412881142

8545956946

4222194251

9689890486

5669028722

3994587724

9672527573

9059238578

3842338224

6682786712

5535335558

2227327273

5866168861

3837481032

9537401394

9857880346

4739549284

2837132782

3535885538

9167477477

4229892498

2730528700

4452535245

5915335129

7277477724

9491919394

7404879724

9103870649

8563215224

4189339644

4128833294

3313694394

4538692394

2246691505

5304070999

2639372396

3244934499

9035590835

0608198601

4979971994

3071737430

3921029290

1021202202

4506354030

1927105246

2951012199

4071286954

3501746143

3526350315

7133127632

7243150908

7210931415

2110145624

2680990802

6113713174

3145114515

6136113663

7210992922

2574664072

9406700777

4237377723

9830399383

9990362567

9501794141

2471715096

2596352263

2200124324

9025020055

2526725272

4389739396

1054999050

4506920387

2367004559

2059958716

4025741031

1007008151

## The puzzle

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

6469649750

6494677207

7081830245

6509549208

3404532050

6461818848

0079697969

7897597979

7562527557

2994222496

7554115497

9199774967

1131350321

1793414467

7086575427

4900528997

1354610525

5232219497

3088065659

3305385326

0405368117

5466302495

0305350530

5106215210

7488338738

3529353930

7061576106

2200661078

2318345656

2210157136

8613162630

8290191978

8648968894

5803385088

2927474977

2210666021

3158913883

3918363705

0944908821

1958985483

0153350355

3938993939

0154909015

3908292203

1616313861

9851999881

3817373381

5306235606

0832998983

0816909819

7806323520

3652434033

9816273314

0816969937

8562131595

3522925581

5710330840

1562308292

4481914449

5112353523

1760601612

8564954684

3522122322

3189495199

2528669802

2578832354

4529769014

4129799119

3580000553

2778424978

8829888828

4549644466

9353780576

6382021484

7040429286

3234016934

3117111371

9333949934

8288826288

2651125516

4748881484

2062280622

3660013206

4272442546

5199114959

3432612522

7117580955

6468812556

1701180927

3029810652

8094279670

9432174464

0210904478

2793276658

5077777750

8581785478

4496496664

5659669453

8485454418

1189286089

0634381286

0180938240

3989940030

7183993193

7970272279

3134331333

0683262686

7429929417

8475873196

3673302630

8578385628

9331383391

8505333358

9379139794

7733333337

3438333383

8871881178

2186809922

4675406305

4186840189

7886563129

4386336361

5875887588

2879373293

7118511151

4685446458

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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