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:

7229750143
7236117545
5728397553
0905510333
8911410262
5592558253
5510110545
6806810168
7767447165
7227292732
6622258646
0720966778
8522843728
7350889772
1640946816
7782977988
8662228282
0240999042
1350935345
3522882232
3319092401
3861246112
2609331019
8476890011
9003675119
2403332009
6886636810
9749995477
1123131112
0900170901
4770040137
5583858325
6066660267
1152115092
4238979428
0010259338
4111468035
7856675117
4315310395
4955668128
2455199721
5571420535
5628575684
5418517132
2688184623
5478175742
5688486848
2628525255
8315351535
5561851686
0205467924
3626963453
0093063392
0609667924
1674217094
3727717328
9299161992
3417767914
9109918093
0553563057
2760751848
6805297149
0132971543
6095303248
9554657823
1351551573
7565576245
9963757389
0122160128
0404403843
1949336916
8959368603
4233121891
3239310668
9239120859
9949779979
1633663613
3629133173
3257111531
4234323444
8474474444
4457111415
5886665655
7517615586
4136556344
8486186892
8886499686
5576679530
7887146392
7017604301
9969390593
5663303695
2323137129
4717557741
6515516145
1345037695
6720827145
7920117545
6504813141
7258197645
4686923058
4028931548
4044991450
1785041649
0737920899
4437998349
4688222668
0125950952
7746967676
7094047070
3307593066
8290584764
2331322480
3531930730
2790329394
3307553733
2893992389
5537457354
6791397567
2290555252
3985339595
0008808048
9415311413
2067327777
2735573223
2785307266
0405394484
0708380102
2907323276
3185807234
8204787042
9999933959
7264246722
5777555587
8377757653
2369237929
3470746542
9401757025
0956753627
7545157752

The puzzle

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

2042285586
5197286527
5598225871
2016940015
1148727313
5122155411
2098282998
2567777657
7395257753
1646966966
2829312784
1432302694
5252202994
7586840620
3722212992
6541151690
9711712794
0622602676
4524465422
9400040997
4600884086
2333113123
0056994606
4040346034
5562535265
1203296283
4616396085
9599916043
1070893036
2957493236
5419017458
3148734241
7656533944
7536610441
8408017441
4476717446
7207170241
6883133981
5929225954
4414154441
0259335530
0477207777
9421624499
0721117411
3994793474
0421724264
9924620617
0429740516
3923613817
0279746283
5032575323
4457712455
3972526725
5017376358
7738474668
6722716725
5323215328
6633653683
6646224463
8754575654
4898389839
8393888333
9323732747
3595955995
1746575776
4325324536
4395886590
1323894328
6323815953
1523960767
8875888151
1197137119
9889489964
9333333190
7777996731
5852038960
9265237951
3890497790
0201130739
4048836161
5024000455
4517711741
4212440444
4354115451
2571377317
2074780546
2214150286
4056303131
4311105524
4527733901
0880808407
5543453434
7857845887
0266662648
8218112884
5834812404
1828112457
6260158804
3609768437
3230512484
4523653835
4213990951
4479949675
4935777343
6843986388
1579111971
4949149949
6805763087
4433943444
0223623266
7238529758
6904725387
0434425347
6000383646
9694213056
9964119462
1115013340
2856625685
5009929057
5575685756
1831148755
9762788731
4759039956
0001359235
4502634751
3325939258
1181989135
4999494955
1444544751
7668698546
9942449228
6002868890
9191414849
6665991653
8814991984
2308219858
8744519884
8625199889
5641291954
2424121844

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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