# 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:

2877767287

5377237652

3157191537

1899319939

4164011982

4597517557

7123239959

6769819237

3084697207

6656678665

9799666979

4112024106

0873779008

8143279409

0827876475

5155464665

9064824446

7771066106

8863573907

7162700511

2169253315

4069253911

1353553315

9922202901

0710050410

4734847384

3055373504

7556276776

7297279022

7927191777

2453755332

8257748964

7227195664

7273286453

6455794599

7756114289

7727927777

5358778633

8028338028

9405350595

9057706872

7488215143

8308391514

5027331823

7308933191

8348680363

1241817482

9858709785

7556575706

8544237385

5365687083

9484930365

9801500362

1730913706

7424420456

8840580116

7036177055

0031568122

1040111410

0334339344

7456647646

4721444442

6861551665

9808008899

3044848344

2763977727

1266111611

2844103580

9256995109

1063163278

9246492815

5703040645

9873111898

2941111849

1740202114

5693151551

2493167109

9291113018

2843260810

9773238187

9443131808

8888182999

4837926628

7751996535

0780704137

0608770006

8731217888

7888070788

4750105067

8226992296

7215373353

2237772372

7373837373

8193911880

7233308776

7362212851

8397257793

2132741745

7375992161

2462442626

0110410145

9072500277

3741713174

0716703881

9146443573

2510855528

3312883637

2172553562

0334119477

6371124177

1335459172

3305362021

3378373387

0941692400

1735177137

6008460000

2334662264

9998378049

1318349089

6391444903

1489368511

5399350933

1428343388

6088288828

9985449489

5391699953

## The puzzle

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

5691581203

0636670253

3882589968

7291471903

9977971921

6545441658

0228062208

5322369223

6824284263

4408007044

5711511771

1582828888

6517317116

4388500183

4772080741

4587634072

1568502976

1318811327

2494689073

6571689072

9313114577

1661637191

2144114492

9017700177

9911119071

5333636053

7776787671

1430461267

8165899284

9141015441

3483019210

5617595067

0110818010

4246646260

4114499441

4261461284

0360330630

1947992999

4240940924

3626772323

6770322652

4077758125

3745984534

0646958426

6747946495

9110011380

3865446583

4599589645

2922999282

7799019382

5747381500

4315816445

6565899206

0248519380

6125737587

8975737928

1531617228

7130635513

1718717188

0707001507

3953110523

3852535328

8846684916

9506162812

8759012816

6920011710

4715832612

7177717896

1900771910

2022272802

3321232612

6665669866

2303923978

0855680605

2356552536

9985999558

6567090556

1903692576

7634259156

0750552974

3661999978

3799440579

6860008086

4248428144

4411511584

6090411174

9730160586

8754400584

6927608079

1505500974

4757756705

4934679974

1953499596

1961787341

1854318435

3173553333

2961766579

4737637336

9657445569

9659575803

9720083895

9650409231

4719308108

4659595955

1810110118

8914333034

9731479744

9129619911

0400279964

2631199942

0587118330

8612899444

5399339340

4236426437

9908098490

4644647962

7790779034

6766791867

7204007422

8610829608

5707750637

5977093125

3333350427

8906467638

2468157162

5542460834

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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