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:

7162290151
1577790159
5601046645
0254578683
1545696889
5695598655
5146474611
8990870889
0091090191
2426646244
4945072898
1713214809
3599142049
4692833570
1558434040
0393333040
4004937049
7271312372
5999444598
0086686809
7852377727
2729772722
9785788178
6054006550
8673573666
9879768547
9653087380
9055011333
8762082843
8782320160
3223222331
2829234582
9191818912
9698698326
9330990503
4691098326
1449698383
4759990921
0862494522
6085816383
9924522555
5473174477
3797444773
8828686888
8268778270
8968727945
7897555571
8727459124
3427597160
5793699307
3281183711
9546226229
6135131161
2409194944
9770377993
9285382241
6179156751
1476330328
2700226801
9131111709
1654690593
3584724393
5069120444
5970244380
1611694320
1228112623
9733537593
8990090480
3432324344
5550454140
6737699496
7683500054
6676693335
3687990034
6687946851
3577535355
8637038376
4768046977
6036993960
7687678867
9102304919
9028277829
3747074928
0474888212
8094096222
8127996728
2892283229
9890868909
0102004812
7525275252
1531611553
4171075100
4405144014
8236422863
4459554459
4451182775
8503512103
8431025749
4471105026
1235470472
6000767590
0680589085
9244222941
2320332204
1101350361
7028652381
4195588385
6755182990
6915059065
4603089941
8719467765
8747751345
8749186095
8741588695
7760722789
7399559773
1041611040
8760700786
1717311171
8748188084
9933413419
9568965895
2444444127
8411178921
9096757096
8120073026
8996874917
7303434199
9427277825
5511753027
3859591519
3589665532
2962061134
5363292114
2379495134
9993999139
2133662113
5545365534
2155592519
1993191619

The puzzle

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

4725173605
5866133356
9825528540
4264182133
3655184004
9866199669
7655156561
5224992992
3706000377
4026646448
8583358417
0593179120
3574124220
2727071120
4512458926
6444552416
8227889277
2388128138
9795957929
5471074110
7410233225
7180577539
6718236637
6618290417
7983544425
7273555355
6438224684
5980282809
0618600866
0760770068
8834797794
9597733411
3537754319
1815750135
1831784425
9291717797
1867776788
8574044473
3235833538
0637136166
7237828772
9959499349
5186211628
7544175444
6244999499
7934162855
6286171911
6229829895
5534955280
5546231735
7727775477
4484084104
9244352943
9333939964
2888118082
2488839904
0172954073
0147178387
1044319072
3487258972
3118384755
2138248269
3061221057
2218764650
2251724261
2168716882
3851253551
6860200080
5411334103
2236826222
4095190122
8293445910
4572245460
7853627020
5509417229
1291110920
7741447114
0561216260
2492525429
5363593065
6288768687
4129325149
9873113181
4994099994
3835953339
4824187055
9885039049
4895363096
6973748965
9197163624
0775171035
9020050294
7681796847
3432824983
8335335840
7555634947
2351096287
7795190933
3261253034
3947151280
2918395308
3284216129
8609784159
2016194856
3558474108
6909771609
2462296225
6848584156
1858185158
1109316309
2876796487
0827759978
2070873431
7049183098
0050505330
7896599795
2729479274
2077777778
0950899058
2477147212
3723372235
9882262938
5575157115
6866636306
7797979971
0793252978
6514377935
8097377835
0218036916
4170976975
4132436628
6661733922
6388865937
9063763348
8409035636
4744774928
2266664622
0378683667
7333373337
3966535946

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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