# 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:

7793491805

7139300015

3323581300

7300766196

8734373883

7320731307

7153531355

2496369634

3304430033

5579054069

4574454742

2779777492

2344336124

7216476169

1596706199

6220536762

2129476762

0342609049

1877718187

8858982918

5287220857

4555556426

2823810820

4469972827

5001850820

8286670825

7197373887

1171130711

7567557566

0018052180

8988918839

7802638569

3575712206

5593150139

5683538111

4856957239

2655222525

1432113423

7521177615

6604111461

2655120487

1698122175

6501290319

1404186273

7524004218

9450889949

5450455455

8934595834

7266996279

1800588150

5806935751

8960856636

8950972375

2202513293

8142327702

0662338709

9003476910

9066340803

3245774421

8062440800

0686008808

7753757777

9168366391

6887197902

1124187480

6076282053

6986901419

6473973996

6023666033

5944245589

1587915787

1146111441

7442964972

9702779027

0770017605

8919118009

3302617107

6102519107

3112514915

9207219067

4580779907

7704794737

1199434491

9909090400

1904114970

1923214401

0222723001

4687533780

3094324400

7718594481

9083996098

5550565605

1138080813

9349391343

9425410343

5273281303

8006086393

6571091193

8079810393

3413797461

3383120717

3053435460

3081167476

0389790888

3513553533

3351713177

3063431660

0061100101

7627587617

5327797087

8508693616

0101695919

5615155416

3937393679

0680087980

7771575517

8998193810

0160906991

7114561765

4430034410

0114194101

7811895761

9528194164

3549104464

3249633901

8726606715

## The puzzle

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

2886568252

8617171865

1319331064

5395590253

3100038255

5399261564

5145361265

1830675262

7598791865

8384137831

0216940625

0265542807

5035634801

7077737817

3858185301

7333384337

5842242853

4060440620

9413300223

8027587395

0413309886

1053349532

9917393791

0014201051

8050250850

1413741714

9523333322

2760976799

7791977727

1099409491

1587175115

7737988171

2137936863

1580166096

1741153254

2791985167

4783975802

4652413899

2789413405

9688835189

8415515804

1790117290

8890110108

5882435482

9337973199

2773272773

5150051702

4734354374

5458959403

8672072773

3674882305

6246252744

6852654373

6629452745

1516772720

2754444346

2596784067

2216729365

8016916106

5764454549

2996767979

2210422440

1551414545

7687878560

1954011950

1100131060

3773735370

5680078359

5790635562

5453437950

9413265950

4160961570

8111441186

0110772901

0755572502

2531130158

8806270511

0311472512

3835370912

3896072109

4990932986

1614278612

8824843628

5696659661

6111116461

3785856316

9973019362

3746414621

3981043402

4335543638

2497339745

7404908886

5804920990

7394349502

2397999797

3877276778

9903393399

7883998388

7434844833

3089290898

5558685555

1217417011

2566156655

5218185768

3518136228

3388186853

2056230207

1886439846

7084031352

4141091256

4658685256

8554471270

7222772802

8622282286

4444444176

5535581356

0152595270

3961945745

7774844757

1464426147

0475874357

5555375355

7744747457

9847424849

6011006721

7424224730

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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