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:

4462553003
0076577908
0647815357
5601725806
1170818023
2556115826
3383373348
0708557508
0909027907
5137718073
1219858540
2938074443
6228182802
7238895120
1978164951
6218552862
2924882244
4738134808
1967169111
7879888979
8284820941
8789237691
1861512590
6424370941
7359075840
4554175541
0022120141
1743347613
8289882890
7990212990
0339639512
7464204279
2466313584
2030713787
9036749555
8069790898
7376277827
9260662669
2464222664
0237577505
7180155258
7605380409
7917291483
6110296062
7113344813
6615116615
7980287879
7111217712
0163333610
2405149101
0632754995
3936564973
3126770169
8606786539
0740521739
1732137117
3106701336
0824747220
4940544404
9696299689
2342295287
5060089181
7015082672
0997014162
7555610607
5175115187
4299989279
7771190167
1212612632
6616602601
1407516051
8047177448
0168556158
0246406020
7496196719
7447583489
0088430162
0107402251
0447131899
7147173994
9368856513
4018285874
3808955409
0508966400
3873852843
0255552600
4455568545
1511585811
6327456473
1511452124
3968854228
7178831730
9181822189
7978677446
3111508234
3189519118
4948044644
7611671611
6171876666
9471819198
1822882102
2002882240
1511111740
3434342543
9449994990
1265014140
1138749742
8095412793
2250412202
9440181142
2917112949
9487414791
6037482892
3018627742
4563214871
2786712978
8177888791
0804224804
5214616542
8272507852
9455230425
0060306463
1134243012
8498881984
8588555588
4911430963
5014953588
7275706582
3553354464
1469445484
7969687691
8475191587
5554851458
7707057702
8699998698
0701098698
2455257751
6906231451
1588551791
0101951657

The puzzle

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

9956189837
4946075731
1944195260
2946235074
6986703449
4951751475
7950209099
1943149139
9986119896
6934039706
2374237222
2898119878
9274942974
2687286288
3504950505
2877906066
2677245677
2574253940
9674982355
2524231322
8590677779
0844999576
5302874946
7795272416
4574272598
7824979498
2997292799
9959595546
7277774972
0666077606
2383113133
1775959977
8078000788
1695115913
8315333853
1083966403
2715057622
1795050537
8775923748
1175131195
6812212368
3790845988
1461718918
0245423993
3338018995
9855115988
4394943293
8288112988
3881728317
4954616425
7950254078
5462214350
9990918828
7629592448
7999969646
5922552595
9250222220
7499243442
0629906222
5657055775
5868035555
5353156665
2451171099
0354598914
5454103716
0803130010
1394011941
2465116525
5841388811
5850505007
0322350352
2022293722
9922429412
6922216922
4848778484
8576098322
8001874922
1039896382
2573796314
6570279482
8199687487
1817705733
4197366466
8077052383
0818367806
0188771177
8049330931
1212661122
4857777788
7898089879
7333773317
6616857668
7880008887
9335539355
8858338587
7192838587
2528138687
3722233885
4018239363
6947308367
5089929805
5853335382
9952990545
8313380313
5551156551
0027850843
0841280541
7350729545
5989339385
0410050013
8850943218
8558953803
2258880993
3251182056
2255569961
5852999525
9755159595
2238223222
8551555551
3077803706
9601419214
3374444337
4318558833
9623962662
9190399391
3673947257
4624327966
9710440010
9698349847
4320392240
0970059067
9098779507
6066969006
1556112156
4331130143
4053639056
3156569157
8394259113
7082839007
3089679157

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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