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:

0672162882
9814784899
2697735547
4695140783
2685741687
9178791981
0614014100
2207172710
2685457245
7892228882
6845874350
4348203928
0379268891
4475260743
4315747047
3048730747
6349849469
0085255890
7619261192
4875888878
7702222701
1695121649
3980838990
9069980396
7586770865
4812438309
8918882495
2600220896
1803922896
8695680696
8355853535
6026333367
4260062040
6811081601
5999999959
5911989735
6026382975
9355933525
5096376104
6219956512
3433030236
2518128521
0444508054
0563506530
8001110186
8255438026
0320808220
7167725580
6046506131
5304700520
0273023942
4837331405
5686133503
0550548705
2020433268
4814558148
2202721712
9355043905
6822861268
3433333543
9763721673
8595795887
2271217202
7969797676
3631331674
3589697674
0952511684
6129931687
4034837683
0903991077
8507625278
7367884835
3046583676
1795706868
9550019865
1166116644
6882624866
2778782778
5015215205
3288809833
6923660006
3927553538
0912298394
0957682950
6350548376
6957577599
6916010196
3112238113
0330300033
3927636292
7181412841
6093202936
5598888595
5048141400
5194591955
6093181012
6083263259
7182142940
5094598937
6193195666
5643753015
9883529777
5762907414
1448572310
1081783744
5843554445
1042700704
5468555896
9681911999
7343333733
9885898548
5505505256
5759375379
0780457054
3363993364
9810857354
1901297368
9451257064
6073473084
9406198068
0403442034
7610110827
1331183113
4433400344
9333338499
1767010114
3612640314
0893438034
0373543827
7310738914
8185981958
8899899899
7449559954
8930580897
3192911911
3192942021
3145844100
8939509575
8132803924
8896975469

The puzzle

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

2247942294
6170676710
5971495071
0221412441
8080998888
5270909091
5081465086
6144405050
2180906248
6221698355
4311290269
3831483562
3321446194
4881289031
8394706143
8263733826
3893433441
4281212124
3324232422
3819331133
8817818834
0088088070
6633634563
5857881557
1777734017
5593618073
4377638834
0819688552
1062018567
3723014564
9578489843
8778982911
9785708724
8155675021
8197721626
8785958588
9297429447
8558480455
1191211111
8172777187
7484888447
4932249299
8284848484
7784347733
7355730575
7485323133
7284256642
7255325374
7334345938
0784738043
2388843727
4741214187
1361851637
9395243455
4550419125
9587759187
1711717735
4454543457
3633753637
7162341623
5628966921
7691997991
0006306000
4976699679
6668996989
7608380779
0028662728
0006310430
6028643949
4686624775
3101037303
0867178887
1447674744
3562123352
4346334333
3547124881
3001190725
3846050182
0101190395
4466146015
0950005970
8806868458
2882009280
7994474954
2494939429
5006039450
4931135824
0062638259
7248378284
8983568950
9436535944
3373737392
1318372813
0414409412
8855151889
1458637914
8652851982
7340871384
7621833313
3478502844
3719123024
2304145032
1131603624
0709201024
0613035404
4343333401
6554395434
0206000062
3224043024
3366623625
8382433844
2497115442
8692339229
7240927204
5772112527
8482923748
2690941311
5272977315
8262918510
5270486755
7984855248
4407135116
9014708158
7613935199
5952830290
2965935299
3554535140
1111118111
5150550251
8480004988
1604691342
7257999241
2164221408
2414256208
8496253290
1999193991
3221222203
4866456348
9919891498
0444049240

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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