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# 2012-11-17: 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:

5201994703

7361131671

6281631233

8928439231

1373131773

3212301231

6168155611

6390339601

0309194301

1546646111

8418681818

6312231238

0474777077

1318788380

8216840709

0414291532

4272637024

6416606341

9066727609

2212221880

4469664639

7777776877

5826671087

4938067477

1136177839

3293027889

7602471837

7714048264

7613332120

7010039229

7213301559

2614916462

7095359555

1323004313

7730500073

9217291227

2313393767

3413192170

1752493743

9097697577

5735593570

4779743779

5577002577

9626792667

3477797140

2749442447

6209009900

2874671684

3811993113

4607900615

3801098651

6479453291

2609092783

4679926711

8513728731

4019910940

2353332353

9568596586

7875496583

8090332764

4495120936

1381222550

2469380750

7364736735

1338231212

8733083778

1500350133

1600322366

9730350678

7330049037

1630718716

7038010350

2416722104

2314760493

2014841157

8132945318

2464774242

2305622565

2336823225

7017870871

8152981929

5872856383

2096010305

5318050356

3256417102

0057957905

2177667122

5650110356

0029050262

8335850383

8650032468

8010006811

8950517380

5814329399

2910797222

8680568085

5850000083

5114614144

7862378662

9169713132

5865713031

4228529071

2829019150

7313111032

6125626152

9957219725

3181613861

4474444070

9669164691

5255307235

8398909383

0117771151

1745877238

2674409631

4652461681

0020267283

3885009239

7229824696

1801525690

2909525696

3345071906

0705971690

6399669396

6040044606

9668885946

7207627060

## The puzzle

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

0764474560

7254554477

6844666846

5188352318

6785876460

3339896777

8076738878

9246458477

7169068848

9065065069

1892591152

1527575732

5889599858

1882567244

9866540127

1869080324

5687521452

1680694686

9972012194

0803872442

9637352997

9291472907

1212111121

4242772944

1977912497

6232110312

9190998501

7997979999

7414947444

7313939999

7885555188

8499988876

7894907801

7383925658

7685972531

7313558453

0493909993

6691010996

8866282676

5732557755

8396543485

8632467420

0463251627

9438911885

5366252380

8777677688

2629979226

9700700079

3335553533

7594455188

8215743629

7570855078

4462270983

4831877188

9891488353

6792786337

5525183886

7312494487

9334394433

8867886887

6267646325

6880101856

8909008957

9479363471

8509012171

1211456371

1998637472

3257756723

1771734371

4744473442

1637167711

1112112201

5181691132

6354686099

6481084524

4389722980

0151758010

4319009443

1494849444

5481658885

6596006696

1275878812

0271884779

1622351223

3727940108

0256995999

1202512555

5774353757

3657863567

1621020692

0705708057

5030203852

4967009479

2662554626

4557858876

0718504602

8100909053

7499404473

8306051753

3305223705

7778778777

4977747976

0000110100

9649413975

6146317770

9808943016

6667473176

3952988727

5781085107

0765777650

2653360325

3337738377

5217030677

3149335855

9164508155

3703485867

8420170604

2362462743

2224742222

7327837782

7756576657

2736743841

2251561464

7224552979

8327545906

8324158774

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.

## Post a comment