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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:

6064104046

2200220222

0239112833

0356737335

6309142814

6358853782

2069594010

2206117551

2200257131

1984603424

4447983407

4403329424

0342611406

4414118464

7004001427

7688864806

9070729707

2219993921

9392453663

9142395169

3678140692

5407835662

2203330752

5554655669

3361713697

5555555169

9932399263

2732571523

6255961095

5959755749

5827552873

7135875528

4058155269

6949552775

6508453225

5570175073

4695346463

7257325537

3428888984

6662336263

7297520660

4655826573

3458334241

3456358113

3965344729

6435049798

9541688508

0977578352

0013836752

3039979390

8552636582

5787228756

7767070303

7888888788

6356436035

2772472272

4687877848

4978333744

2873365118

6885866024

5877499877

2776428560

4872384438

9820252809

5595553955

7462764075

9339138891

7608034875

6362953001

5390969751

1176708075

2317261871

9990290929

2927525225

0357870338

6463335646

2460365730

2953218865

9927385442

1920330116

0320387746

3579474473

8715074810

3616836681

0205550255

8719567369

3519490541

8715820781

4575362440

0605083999

4293568471

3712163594

4583134642

3682542169

3156151111

4283683647

4713777773

5577665777

3662563662

8231222489

1027424480

2527830810

3697636881

0001130811

8487958489

9800926890

6158163518

7242242720

3120451861

3056571848

8501588226

2063258346

8778376853

3184881848

3727256327

6778878826

6888688268

0897709757

2802838769

4858776717

0802761049

0772373776

5827999987

6858358868

4392734229

0802808808

## The puzzle

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

0433248348

0029251729

8019247601

5351301888

0323333340

2051415124

8499499949

5332255335

0226502205

4401164149

4116381149

1728874769

5908694540

7544574540

1911191161

9359390393

4465969549

5856886458

3868488888

6906101106

5378070675

9281599915

6388544120

3984125466

3354032152

5804797907

6854252374

4042787209

7986736509

3039576709

8750676729

7077977709

5295995522

6566536569

9244686459

0099424209

7798018611

1448858271

6757158461

5751678665

2516552611

8728278285

8632358263

4740478472

6002024160

3444663434

4893484934

1224142421

9887799898

4714744330

2814723430

0794621124

1494480576

4824751041

5111115531

0080337801

7466076408

5771117356

9171411931

7248877431

7885107956

6175516901

5569137338

6669669666

1516611631

9462726747

0794779977

1474340249

0974301403

6412771245

9566344722

1619629635

2996666392

1000001801

0080929068

9518315793

4839018761

8343752797

4496426592

0332209538

0520956598

4906138133

4908197279

4908154715

2218561107

2606110610

4605564464

2248525542

7327117727

7913003960

5902263324

9707162024

7276958034

1096612538

2323552034

1191016001

0026660024

6336663030

5835338578

4071823604

8773155762

7513308662

8761183634

7173993977

9769669999

8479883997

1019301903

4121111111

4069800864

8017161197

3408350621

0414344728

3429338334

4518648681

4617741771

8067606877

0004101410

0569121571

1509665743

4539749682

0563506040

4469196451

4500005000

1533858138

8539538955

0469709476

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