The Flooble Code (Posted on 2003-03-18)

B  4771 0.016744
E 36232 0.127157
F  7167 0.025153
L  9563 0.033562
O 22486 0.078915

	Submitted by Charlie
Rating: 3.5000 (6 votes)
Solution:	(Hide)
First we calculate how many quasi-random 7-letter sequences can be gotten from the text. There is a choice of 284,939 places to start. There would be a choice of 284,939 places to end, except for the fact that the difference between the starting and ending position must be a multiple of 6. So there are 284,939*(284,939/6) combinations of valid beginning and ending pairs (in such a large number we can ignore the fact that the size is not exactly divisible by 6--we've still got 6 significant digits). In general if the text length is L and the word length is W, the number of random sequences we have to choose from is L˛/(W-1). In this instance we have about 13,531,705,620 seven-random-letter sequences to choose from. Then we consider the probability that any given 7-letter sequence is FLOOBLE. We multiply together the relative frequencies at each position: .025153*.033562*.078915˛*.016744*.033562*.127157. That product is 3.7567 x 10^-10. Then multiply that by 13,531,705,620, giving 5.08, so we’d expect 5 occurrences of FLOOBLE as an ELS in the text. As this is the result of a large number of chances each with small probability, we’d expect the result to be Poisson distributed so the probabilities of finding given numbers in the text are (if we use 5.08 instead of 5): 0 0.0062199 1 0.0315971 2 0.0802567 3 0.1359014 4 0.1725948 5 0.1753563 6 0.1484683 7 0.1077456 8 0.0684184 9 0.0386184 A search program actually found 8 occurrences. The Poisson distribution gives a 14% chance of it being this many or higher. The shortest skip distance among these occurrences was 382 backward, in a downloaded text of Thomas Paine’s The Age of Reason, which had the length and letter frequencies mentioned. The occurrences are (the letters of FLOOBLE capitalized): Start: 3012 skip: 40916 dandunadulteratedbeliefoFonegodandnomoreeverynati ightytoperfectionnonotonLybecausethepowerandwisdo iteverwillbeinallthingscOnsistentwiththeeverexist nsanddescendantsofesauwhOarecallededomitesandalso thisnameismentionedintheBibleinalaterworkpainenot houghattheriskoftheirownLivesfortheaccountsaysnev newtestamentandshowedothErwritingsquitedifferentt Start: 44861 skip: 33729 versialandthegloominessoFthesubjecttheydwellupont tfromthesunandconsequentLymovesroundinacirclegrea avethesamemerittheyhavenOwweretheyanonymousnobody oughtdowntobc1056thatistOthedeathofsaulwhichwasno thisromanticbookofschoolBoyseloquencebendtothemon entthenewtestamenttheyteLlusisfoundedupontheproph eumaugustinehavingentitlEdhisbookcontrafsustumman Start: 57965 skip:-3363 sasifheweretosaythouknowEstnotsowellasibutsomeper encethatitdidnotmakeitseLfeverymanisanevidencetoh rstifthefirstquestionhadBeenanswerednegativelythe ywhichtheheavenlybodiesmOvebutitwouldbesomethingw fthatagencysoastobeabletOapplyitinpracticewemight stobetterstudiestheschooLsofthegreekswereschoolso ertomakeanexcusetohimselFfornotexecutinghissuppos Start: 192146 skip:-26506 thedisagreementofthewritErsbutbecauserevelationca earthwasaglobeandhabitabLeineverypartwheretherewa notforeseethatitcouldnotBemaintainedagainsttheevi sinourestimationbutanimpOsterastotheancienthistor ustohavesaidsothenextdayOrthenextweekorthenextmon ththevicissitudesofhumanLifeandbyturnssinkingunde ndofthefalsepredictionsoFjeremiahishallmentiontwo Start: 193730 skip:-15099 civilitybutwithrespectthEkeeperoftheluxembourgben thewriterofthosebooksiwiLlaftermakingafewobservat rsbytheaccountgivenintheBookofjoshuaafterthechild ichasthosebooksareanonymOusandasweknownothingofth orrapinshistoryofenglandOrthehistoryofanyothercou dthejewstoreturntojerusaLemfromthebabyloniancapti peaceandwiththeburningsoFthyfatherstheformerkings Start: 208825 skip:-13751 ypersonwhodiedbeforetherEwasacongressintheonecoun estheinhabitantsofjerusaLemthechildrenofjudahcoul countalsoisgiveninkingsaBoutelijahitrunsthroughse edinsciencewhichthejewssOfarfrombeingfamousforwer ththewindinthissituationOfthingsisaiahaddresseshi nthecharacterofthemenstyLedprophetsintheformerpar loneweretherenootherissuFficienttoindicatethatthe Start: 240759 skip:-28476 onofgodafterthesermonwasEndediwentintothegardenan thereforeisacharacteruseLessandunnecessaryandthes yunderstoodandintendedtoBeunderstoodthathehasbeen theirexistencehintedatthOughaccordingtothebiblech orthislyingprophetandimpOsterisaiahandthebookoffa eciallyliabletotheridicuLeofsuperficialreadersand dofbelievingthereismuchoFthatwhichiscalledwilfull Start: 248258 skip:-382 ngthepeoplethencallingthEmselveschristiansnotonly munderthenamesoftheapostLesandwhicharesofullofsot edthatthesethingshavenotBeenwrittenbyhimselfnorby boulangerhasquotedthemfrOmthewritingsofaugustinea theywerevotedtobethewordOfgodbuttheinterestofthec lhersaintstoworkonemiracLesincetherevolutionbegan eeitwasvotedtobethewordoFgodthefollowingextractsa

	Subject	Author	Date
	re(4): incorrect solution?	Charlie	2003-03-26 14:00:29
	re(3): incorrect solution?	Charlie	2003-03-26 13:59:28
	re(2): incorrect solution?	Cheradenine	2003-03-25 22:55:01
	re: to Cheradenine	Charlie	2003-03-25 15:33:51
	to Cheradenine	Cory Taylor	2003-03-25 10:45:44
	my error	Cory Taylor	2003-03-25 10:36:37
	re: incorrect solution?	Charlie	2003-03-25 10:24:42
	incorrect solution?	Cheradenine	2003-03-25 09:19:22
	re: remaining solution	Charlie	2003-03-21 03:36:56
	remaining solution	Cory Taylor	2003-03-20 09:33:49
	partial solution	Cory Taylor	2003-03-20 09:21:46
	No Subject	Cory Taylor	2003-03-20 09:04:52