# 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:

5191588954

8208574955

0370383950

8475271453

3939933987

8464484494

9559888954

3354561453

0777575830

3689752246

4486085440

2283766993

7476782833

3267737272

2679099292

7453673255

7286078728

7846787778

3067503775

3407249334

5936896955

1458111111

5456183904

1936256570

1908958395

3437425140

7007103033

3582468749

7904278258

8049665652

2546501603

7034533377

3986668686

3579773397

2041410472

8132282122

9835054466

0428586471

9861039519

9671327463

8401518051

8831313878

9678888979

0675057065

2825885822

2782354586

2781340336

2782328836

2729566822

9022772277

2782575878

4779374737

2881982838

4910304493

1865036370

6782739087

5815325810

5814326512

0842338435

1711771111

5884758887

4218314232

6355055555

0339529929

1300946407

9380511956

0179964916

6430990463

0372973902

1406660416

9189991941

3970573759

4403198180

0612269082

0919703562

6977923451

6489776646

7662266276

4977999994

0613110061

8412148416

0014621015

7281223695

2628435895

3240493239

0300330094

2056220615

0089990809

0353333235

0801001805

5550305352

1491010154

2230220037

3474337406

2205414055

2810736156

3348824952

7313015452

6181917054

8364948469

4796179113

1694229249

7896378999

1793385313

7604336407

8696119540

1894390748

7396385157

7820388738

9798009988

6280008600

7696336717

7891308659

6650867299

9680020131

7250392934

0281353833

0932931249

1203234748

8670331631

3543091648

2009794702

9144141938

0761131601

6264797246

3340430204

## The puzzle

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

6487340995

7502474053

5095009153

2665679999

3333313393

0910220198

7795779059

8855525958

6246644635

7120079569

1920678987

8321527955

1822149710

7905999507

7829122989

1191591591

1392010282

8120686862

9798563952

7817604929

7097709729

7343259910

2852553782

0029204920

4449949949

7666161135

4441428414

9092909592

2303333207

1831188313

8383333383

3379039383

9050833537

0751003303

0978838383

5963033593

3995972359

8886262698

2088022086

5661191366

2901652088

8520822698

9051371096

8451522326

7296555089

1727441172

2598759955

3235952328

0517337100

1817788909

6519666984

1519330391

4817744698

4827931522

9052629099

0181688511

2214922424

5870959758

9180968272

6470933574

3871972115

0214969361

5071975607

0004929094

4944646967

1391133119

1851516551

8745616921

1320116514

5082889584

5211183017

7092686016

4221262074

2120107960

6254190752

6231548864

0342114061

0453830838

6224566642

4731881418

2170221117

4148148418

1588565308

2422240622

7771777710

1830070418

9595887420

1355777816

8627165128

4595060618

4119889641

2718176821

5493637694

6353535566

4591434226

6557564564

0982047641

3365964264

3344135541

5446146651

1693090694

3487994479

6559995595

3645101036

5463007658

5497910849

6496003704

1646813114

7427073083

1828997467

2457761484

2427942533

7422772747

2179412929

7857666768

2957977475

1438228188

5161155168

4439306439

9799990391

3414931149

6508035169

5057105361

6029896149

4314996738

4480905721

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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