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:

6922997602
2066666109
6666462654
2424461241
1444714786
4757692689
0437091201
0074367100
1276496741
4648464242
6111262168
8607008368
5454479485
3702037026
1664114640
9628038466
5220707448
4655838465
8924710426
4857439320
3873093732
4430617092
0992513794
8322283236
7882816932
2055156102
7229947292
1977616716
0349473094
8923983932
6853836658
2697896873
2772002792
9222298428
2202112120
1634638778
5389432728
5930718429
1480336698
2869692622
5501755546
5043707447
8184695369
2281707572
0612055599
8577555877
5033305434
7677997346
9155665599
1451151542
2013769985
1893509494
6253244843
8891396968
2051307194
1811558185
5057750077
8164226241
6093303393
2056355024
1015500551
0662262060
3503882033
0374040340
4892777477
4512522204
0392765521
3006050587
0602512454
0503535842
9751707203
4990717293
4441000213
2741321513
1397217212
1122110212
5007307503
2232562253
2612621619
1148404110
9992239532
1424292834
4242632264
6330390436
4905954906
5216290504
0215232106
2890594806
8773592534
0804732564
3900679251
2442269213
0028585231
1095877631
7920657250
3777777231
2962529653
1557157951
1124885251
9066069660
3528896951
2719535214
6714058899
2759947248
2719960130
2718978822
2129811228
3554004415
6419191164
1715917951
6373330401
4717530948
1987537685
1114330909
8442057249
8883338738
5267727605
1931030119
8206256281
9894980949
8952923003
5322201770
4352052733
2359956499
4551989956
4359993544
5252255229
2321333212
6258355222
8563056005
0433603604
1177116178
9292992910
7572575025
9547799477
7230873670
4403002917
9565612170
2963692877
2420409408

The puzzle

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

8632815966
8622825940
8622349286
2684860813
3234789222
8632772632
0634330333
3731314333
2424824222
1231010103
8166839953
4402395951
4314827999
2921635483
8408239923
1991137991
8984498954
9399525893
2349335499
8298989623
9311949704
9412120950
0402113083
0348496092
0368901723
9301131191
5462754562
0014990109
3318313133
0442141062
3907494422
3129625817
8547655444
3527919272
3049984752
0682997880
8907489978
3047660737
3529452233
8449666844
0952002000
5635535663
4535045059
9448644664
6821916996
9848502963
4645949947
5235968068
4638085383
5545049551
3357857378
4612423164
2520226072
0191339501
3222553283
2002857383
5670337101
0114656071
0654426373
2423157152
2080920784
5719589048
5701049599
1160410854
3077908928
1171311111
3011931110
2707072077
5150555505
5089498578
9087835656
1287642440
1252419968
9831319405
7089368991
7232573535
5281882228
7079797996
1912321919
9857448847
3421713471
3039503633
8584384558
2876566876
7106979679
7004741773
7471556328
3121774194
3846786360
2479534484
0058600068
7330970033
5277255227
9703000008
4972999492
7730965318
0772242081
9977246060
5052587001
4973075549
4484334503
2622742716
3177777371
6004701647
3370370113
2840630617
6776707673
1642934716
0209672076
6133647747
8067161166
7681551846
3154331433
7677577775
9157917995
7057925662
8034175187
7667591379
8151513953
8057351042
3851513109
6158766152
3048542740
7148534686
7170703001
3070777773
5048505855
4081800408
6100771011
7459555787
7880985087
6036213888
8974719505
8145645825
4431654625
5489754087
4555845825
8088880508
6626868428
3552113625

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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