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:

8767117965
5410617505
0163916065
4394196345
5109619027
8196196821
1169519365
1418414008
1992992921
7043097047
2233237218
1599551922
7474474277
0001607036
7655776573
0455036513
0891431277
1218774912
8614027036
9818907212
8669296829
0997007998
1442212144
3317361343
5310513450
0556092948
4518826129
1764617490
1708412959
5514817343
2028308882
7812078122
6310961630
0662002600
4782577205
2062968793
6722038636
7812085577
7317994153
7662064473
9007770790
3928559598
9318683931
8354333338
9386558325
8327543670
9326516698
9007718303
3358548902
9318225610
0188111008
5774050544
6969769626
9155001515
2932535325
0975161583
6974059216
2915786839
0984567652
5952006695
1515505317
9921969192
4868668400
7122767721
9581958955
9985255112
9567567101
2310407159
2605869925
1413965312
0580817508
6466686604
4535552305
6611276214
3100313073
2737876508
2368673504
9073473304
1097412308
0605756104
6402980372
6498526651
8938275102
7500595991
7479926533
3926556955
8470998444
7509809705
7192828767
6408248200
8709332800
8095738806
2820955804
1013838367
4032038820
2522335825
8658885806
8376368394
6087630867
2226062800
6128434312
8862454162
1881486556
4108196152
8258455182
8883335868
9932396302
5090770957
4466154116
3566558586
0722079092
2727770217
0387773987
4445545564
0439390340
1002273097
2794075917
7660969097
3843490292
5472873087
9258182329
2616161661
8691515819
7953173179
9548355433
7258168311
8658148999
2658182076
9908174372
2656170502
6399370283
8574549237
4154410234
7409840457
1316875237
1030710037
1211919299
6160115634
4454141454
5332372253

The puzzle

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

5709727032
5966823255
7916213602
4916859907
4013765309
4049799094
2916818831
8061980896
7703703773
5619099165
0220343118
3808146408
9822420598
0337740609
5251015951
1323330108
3311113308
2699662999
5545545459
6666626611
3063431265
3207409048
5867745962
3704442345
6253722263
3706777737
2267422272
6053833453
7028407807
5394034395
9659081599
6489075548
9651568868
6050503635
7018348749
6431516444
8690509395
7701377073
9018000019
7759474494
9888656692
1619732881
9580887087
2639496889
6610700782
6680770980
0839638883
2618882116
9688466489
6509900900
2823039248
5996136429
2893820350
5893170685
5882143994
2593192553
2896888269
1289828909
5922199225
5829685566
6006300800
3910601903
8158555555
5227020705
6115551661
5008521948
6120018158
5958549889
8225953507
3115522160
8715981111
7834030003
3284443884
7247074070
7886377681
8286909411
7236039646
8284011036
8884440684
7267952200
5217136417
0218823366
0817510561
0818122717
0817161262
7894558945
0266402020
5608060000
0617109101
3818188181
9138589550
1512889890
9306632058
6686039582
2370834960
5015939580
8226222682
9298889082
3880032850
8826824968
9476841046
2814161071
7000442344
8060142204
6752631891
3830338074
4514441543
6281162691
6336834836
2152245201
3954270449
1991525804
7954127334
2099404586
1859523962
2649595646
1952292522
3954453444
7889282089
8096109691
4209127054
1209770764
7988788583
9288371456
9099308127
9098111190
4204746404
3414444133
4289338932
7909179770
0577565910
8103122699
9504555435
4403744263
7907523449
9147391794
0903505030
8103111301
4471744474
7505557975

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.

Post a comment