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:

1911811988
3317111137
1459747597
0220720026
2718777171
1721783005
0410786683
0219738502
2751728896
2718520890
4982375083
6250078234
0481674030
8331075893
4258278284
8478774884
8051128195
7575575233
7730779032
1900878019
7892084355
2736954374
8488876540
3005052750
6364279574
5085352380
5444556454
0325506542
5595779755
3437434374
8889336798
9404668858
2918998662
2159303284
9189386871
8129998191
9185511569
4418334313
2988682889
3854343485
0816852310
5711384172
6800282142
5274153135
5807657046
4554557145
8111182116
4223224332
5376563052
8778680674
2009473766
1559078097
4715406122
2059009032
7691343505
4085998850
1713433413
2959395393
7511997115
8699081996
9062285381
4934109740
9956306872
7534920510
7564345534
3501933505
9764344443
4034340000
6956226656
7292479425
4414141439
5867080587
5638855368
4156615642
6644114476
1389811469
6992554638
9003181470
5920810349
3113210388
6389666668
6564766756
2773737877
5241414441
2008990000
2003944441
2983701033
2388604956
2569757284
6044995272
3248983637
3225782633
3485788730
3219902286
6268923055
0445155144
3266962963
6288728128
3785758375
1629792797
5430653550
6875262860
8419791889
4177311437
7580115075
4430706047
6480358971
7437745743
6539175061
6910674761
5460450640
9073575597
5119899111
4729244222
5848335753
5729347647
4769885953
9028460160
5849852409
9099335776
5053281928
3709821524
2797671521
3539259463
1999070464
1896151968
9294229984
7571771581
9229772967
8038680426
8115151815
8017606218
6711717376
3037700357
6766336376
2016617377
9088706376
5182231317
4738710377
9449654276

The puzzle

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

6817112544
9930428724
2810028252
0572614211
9527274744
7714717714
1414114442
8734478834
2419126241
5477572524
0048293761
8432343463
8595943731
1107700931
0991613739
4493793743
9909609969
2243442132
3334403734
5052510351
2675756276
9500009800
8483323840
5516116055
9369396183
7628259053
4982423103
8294656150
5231823283
9978813023
7074659745
3004533177
3994198446
7688698708
2990329044
7600171012
2084688408
3793999997
0901550950
7058308050
1043544030
9684486694
8488333384
9710916099
7519717755
1048788342
1643929479
7013960245
9413563644
9910768636
7188811888
6535773567
1013211213
6891880886
9887798898
6181722429
6593808647
9485894564
9593712549
6887760301
8255875568
8147831113
7313349008
5504139578
0530255071
1508151068
4354443573
1616929106
5552851598
3310035011
6666364563
7000160710
3223513225
3111133611
5551959830
8902019210
3141359610
6349863210
8231669615
8140836711
5973364016
3566860011
3703760519
9795760799
5354859749
4795759746
0602160210
0065861809
9616064091
4404420044
5713575375
5486008563
4221022024
5762255672
0421310311
0416549443
5423038133
5464390071
5782527897
5721295879
2827136428
3025010921
3703612027
9468935424
4862236621
3022332028
8804487453
1202280021
3339936991
1122515624
6318325960
9321590455
7668819405
5851600484
7198613368
8888119861
5543530354
4050505405
6696926960
8049493448
6009996009
1493636939
5467166115
5681000880
1903139129
5681985195
6604055209
1489193547
6403926674
1901957200
7468722319
0864999084
6512416110
0042746033
6648786108
1647376743
7712977773
6564776667
6418488441
0043903404

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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