# 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:

2066666109

6666462654

2424461241

1444714786

4757692689

0437091201

0074367100

1276496741

4648464242

8607008368

5454479485

3702037026

1664114640

9628038466

5220707448

4655838465

8924710426

4857439320

4430617092

0992513794

8322283236

7882816932

2055156102

7229947292

1977616716

0349473094

8923983932

2697896873

2772002792

9222298428

2202112120

1634638778

5389432728

5930718429

1480336698

2869692622

5043707447

8184695369

2281707572

0612055599

8577555877

5033305434

7677997346

9155665599

1451151542

1893509494

6253244843

8891396968

2051307194

1811558185

5057750077

8164226241

6093303393

2056355024

0662262060

3503882033

0374040340

4892777477

4512522204

0392765521

3006050587

0602512454

0503535842

4990717293

4441000213

2741321513

1397217212

1122110212

5007307503

2232562253

2612621619

1148404110

1424292834

4242632264

6330390436

4905954906

5216290504

0215232106

2890594806

8773592534

0804732564

2442269213

0028585231

1095877631

7920657250

3777777231

2962529653

1557157951

1124885251

9066069660

2719535214

6714058899

2759947248

2719960130

2718978822

2129811228

3554004415

6419191164

1715917951

4717530948

1987537685

1114330909

8442057249

8883338738

5267727605

1931030119

8206256281

9894980949

5322201770

4352052733

2359956499

4551989956

4359993544

5252255229

2321333212

6258355222

8563056005

1177116178

9292992910

7572575025

9547799477

7230873670

4403002917

9565612170

2963692877

2420409408

## The puzzle

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

8622825940

8622349286

2684860813

3234789222

8632772632

0634330333

3731314333

2424824222

1231010103

4402395951

4314827999

2921635483

8408239923

1991137991

8984498954

9399525893

2349335499

8298989623

9412120950

0402113083

0348496092

0368901723

9301131191

5462754562

0014990109

3318313133

0442141062

3129625817

8547655444

3527919272

3049984752

0682997880

8907489978

3047660737

3529452233

8449666844

5635535663

4535045059

9448644664

6821916996

9848502963

4645949947

5235968068

4638085383

5545049551

4612423164

2520226072

0191339501

3222553283

2002857383

5670337101

0114656071

0654426373

2423157152

5719589048

5701049599

1160410854

3077908928

1171311111

3011931110

2707072077

5150555505

5089498578

1287642440

1252419968

9831319405

7089368991

7232573535

5281882228

7079797996

1912321919

9857448847

3039503633

8584384558

2876566876

7106979679

7004741773

7471556328

3121774194

3846786360

2479534484

7330970033

5277255227

9703000008

4972999492

7730965318

0772242081

9977246060

5052587001

4973075549

2622742716

3177777371

6004701647

3370370113

2840630617

6776707673

1642934716

0209672076

6133647747

7681551846

3154331433

7677577775

9157917995

7057925662

8034175187

7667591379

8151513953

8057351042

6158766152

3048542740

7148534686

7170703001

3070777773

5048505855

4081800408

6100771011

7459555787

6036213888

8974719505

8145645825

4431654625

5489754087

4555845825

8088880508

6626868428

3552113625

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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