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:

5775665570
4553646346
7163137311
4444444444
3533111353
7144180895
7554606920
4434600814
7464570980
7163467974
3792669589
0219310519
7950817691
5184417729
7425410889
8416910894
9683869683
5181105841
9921217329
7711707519
8134661131
5522255221
7283683678
6351431634
0880550085
8284542671
8180641529
1583298708
6382210450
0884411780
7576444776
8395118896
4321914924
6755565555
8040114081
6795106458
8555514328
7036572955
8571951791
7055417910
1863746349
6211020186
3766902289
6615501362
7885290157
9609996376
2222222182
7007701647
1211383251
9002040829
3594018426
0827967720
6253765670
6387775389
4621018370
7777977779
5550875485
4048668410
0831881300
2331611326
9634430181
9810417552
9639365723
5684458045
9219346694
9264556599
9910391319
0889488380
2621421666
3039430433
5464344443
6606866066
1647276442
3018836303
7929577557
5924502135
6660820050
3616220506
3627394521
6946354448
9382453227
8553533699
8263393761
6993513804
9359366517
6283336323
8932523822
9563835579
9049449404
4355353553
5193652405
6883495205
1385972454
6379472763
0383949556
1593753551
0333443333
6305965050
5189119519
6873002700
6248242682
4454454453
5146591451
1881118881
4427774742
0039854653
3436991881
3674778781
5076978682
5101868852
8782775822
3506505636
6646111646
7208838702
9571355713
4917635623
4658011846
2766858612
6165155612
7970474626
7419074469
3419121409
7249120838
7268493396
9365162207
3245132152
6915111116
9319090113
7068004800
3461114641
9591599999
3196261169
0148556554
7617261767
9772777777
3148566764
3491559762
9518733453
9541517028
9791701576

The puzzle

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

9361922208
7819920991
0382807057
9822860091
9019944629
7268972869
7061970606
9689196999
0814207182
9382838888
7484496542
4547034742
4061557423
3288299540
2120897402
0222334202
5709459704
6544997643
6446446422
3393433549
7433376656
4270976786
1977803402
3741273019
1711476716
1190991005
7719571659
7630578350
1777303716
4666846082
6925959666
7597997997
9151991995
6519596695
4207993297
9225566199
4597901087
4515993600
6599572123
9299155361
5851932946
2556129887
5563917407
3857110206
0553907397
7753135711
0366733377
5558252555
1827982139
3551353335
0521294190
0643119370
3543154931
7531035676
3533928034
7557997755
3533113313
4641046164
0848287808
3943223343
2522728785
0112524501
0064631760
7777878768
6293390362
6675038700
4605074391
6735978781
1724038788
0972028702
2630882622
3435833834
5044554515
0291711299
1109999191
5490967630
1645813636
7404930502
2639582465
3409856093
1126601787
5227670208
8530553335
8177010505
0540121189
1534113143
0177078077
8320603033
5846055504
1256756712
9681555582
5742959559
0914491110
8333738888
5074555575
5044703314
0084969005
0012980966
9011530603
2084564221
2477327099
1633998451
1995936672
4075871312
2171948562
4195313943
0223922033
1017411114
8671998496
2933883299
1660786468
2161780029
6141762415
2627793347
1627780833
6127572751
2647777444
3161888619
9125757251
1283727238
5418296705
9495886249
8403884439
9992568021
8415700641
0702772107
9445225442
9493893949
5918281522
8015800880
4010205620
0376733615
4444616210
4062406845
3688835835
0011310130
6652685625
0957507645
3101003718
6666836828

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.

Tags:

Comments

Colin Edward

Big Ben

Steven Don

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.

Batuhan Bozkurt

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.

Steven Don

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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