-18 sử dụng quan sát từ Peter Taylor (thứ tự 10 giá trị có 1 hoặc 2, trong khi giá trị thứ tự 1 thì không).
<3Ḣ‘_L⁵*×Ḍ
“KẸ⁺dzⱮÑ2⁵İ2ṭ¬⁴²¬¶9°ß°øİẆGẊœ%X(¢ṆḢ/8¬Ɗ’b7µ18,-;_3+\⁺Ṭœṗ“SŒƥŻƭ°}MḋṘḥfyɼ{ṅĊLƝġœ⁺ḟ8ḶhỊDṭ&æ%*ɱ¬ =¦ẉ Qh"¶:ḌĊ€ĖṢė°ġṀƬmẓSṃ÷E⁴Ȥ⁼ḋ#ØĖḂ2øzẸżƈ¥Ȧƥ7¢®|ḳẊṆƙƲɦḟɼṖỊɲṁẉɗ6ẇSɗ⁴ẉİt]ẓeṆHṚƑ½>]ɦ~T¢~ẆẆA`/6ƭṡxṠKG£Ḅ+wḃḣỤw×ḌŻƲF>Ụ]5bJḤḟCḞİḶ|ȥ9Ỵ0ụKṗT⁴ƥƁṖı×ṄtTĊG©ṀḥṬƭʂd½ḊȦуŀṣ¹ʋṖẓYL²ṅṿ&ẏdDṬIɦỵ¹b,ḷṣƭ#P'µ{GTƇẹ¥L8SƥÑṆẈėẎßṀḷƓ⁷ðḳċ¿ḶM_ḲẈg9ḢĠi+LṭẹḲẎ¤g<ṘJJĿßæ⁺(ɲỴ3ɲgkSḃIƙṭ.Ỵ&_:cĿƝı’D¤Ç€
Hãy thử trực tuyến!
Làm sao?
Tạo hai hằng số này (AKA nilads):
- (A) tất cả các chữ số thập phân được sử dụng (nghĩa là tất cả các số được nối đều bỏ qua vị trí chúng tham gia và dấu phân cách vị trí thập phân của chúng) và
- (B) số lượng các số liệu quan trọng được sử dụng bởi mỗi số
Sau đó sử dụng chúng để xây dựng lại các biểu diễn dấu phẩy động của các số.
Chương trình đầy đủ có dạng này:
<3Ḣ‘_L⁵*×Ḍ
“...’b7µ18,-;_3+\⁺Ṭœṗ“...’D¤Ç€
(trong đó ...
các số được mã hóa để xây dựng B và A)
và hoạt động như thế này:
<3Ḣ‘_L⁵*×Ḍ - Link 1, conversion helper: list of digits e.g. [1,2,9,6,7,6,3]
<3 - less than three? [1,1,0,0,0,0,0]
Ḣ - head 1
‘ - increment 2
L - length 7
_ - subtract -5
⁵ - literal ten 10
* - exponentiate 0.00001
Ḍ - undecimal (convert from base 10) 1296763
× - multiply 12.96763
- i.e. go from digits to a number between 3 and 30
“...’b7µ18,-;_3+\⁺Ṭœṗ“...’D¤Ç€ - Main link: no arguments
“...’ - base 250 literal = 16242329089425509505495393436399830365761075941410177200411131173280169129083782003564646
b7 - to base seven = [2,0,4,3,2,4,2,4,3,2,3,3,4,2,3,5,3,3,0,3,4,2,4,4,1,4,3,4,3,2,1,5,3,5,1,5,0,3,3,3,3,3,3,3,4,3,4,2,3,2,4,5,4,0,1,3,2,4,2,5,4,2,2,4,2,3,4,4,3,3,3,2,3,3,3,3,4,4,3,3,2,0,5,3,5,2,3,1,1,6,2,3,3,3,3,3,3,1,3,3,3,3,2,3,3]
µ - start a new monadic chain, call that x
18,- - integer list literal = [18,-1]
; - concatenate with x = [18,-1,2,0,4,3,2,4,2,4,3,2,3,3,4,2,3,5,3,3,0,3,4,2,4,4,1,4,3,4,3,2,1,5,3,5,1,5,0,3,3,3,3,3,3,3,4,3,4,2,3,2,4,5,4,0,1,3,2,4,2,5,4,2,2,4,2,3,4,4,3,3,3,2,3,3,3,3,4,4,3,3,2,0,5,3,5,2,3,1,1,6,2,3,3,3,3,3,3,1,3,3,3,3,2,3,3]
_3 - subtract three = [15,-4,-1,-3,1,0,-1,1,-1,1,0,-1,0,0,1,-1,0,2,0,0,-3,0,1,-1,1,1,-2,1,0,1,0,-1,-2,2,0,2,-2,2,-3,0,0,0,0,0,0,0,1,0,1,-1,0,-1,1,2,1,-3,-2,0,-1,1,-1,2,1,-1,-1,1,-1,0,1,1,0,0,0,-1,0,0,0,0,1,1,0,0,-1,-3,2,0,2,-1,0,-2,-2,3,-1,0,0,0,0,0,0,-2,0,0,0,0,-1,0,0]
\ - cumulative reduce with:
+ - addition = [15,11,10,7,8,8,7,8,7,8,8,7,7,7,8,7,7,9,9,9,6,6,7,6,7,8,6,7,7,8,8,7,5,7,7,9,7,9,6,6,6,6,6,6,6,6,7,7,8,7,7,6,7,9,10,7,5,5,4,5,4,6,7,6,5,6,5,5,6,7,7,7,7,6,6,6,6,6,7,8,8,8,7,4,6,6,8,7,7,5,3,6,5,5,5,5,5,5,5,3,3,3,3,3,2,2,2]
- ("B" significant figures, with 1 extra for the very first entry and a missing last entry)
⁺ - repeat (the cumulative addition to get
- partition positions) = [15,26,36,43,51,59,66,74,81,89,97,104,111,118,126,133,140,149,158,167,173,179,186,192,199,207,213,220,227,235,243,250,255,262,269,278,285,294,300,306,312,318,324,330,336,342,349,356,364,371,378,384,391,400,410,417,422,427,431,436,440,446,453,459,464,470,475,480,486,493,500,507,514,520,526,532,538,544,551,559,567,575,582,586,592,598,606,613,620,625,628,634,639,644,649,654,659,664,669,672,675,678,681,684,686,688,690]
Ṭ - untruth (1s at those indices) = [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1]
¤ - nilad followed by link(s) as a nilad:
“...’ - base 250 literal = 1359843400513624587387936539171476193226998298019011260296145341313618054174228221564540513907677646235598576881516831048668610360011296763157596112434066354611315520656149682812674618767665174340187902467878810176398777726380939419905999301878994359788697523921181381139996049417712856948672062172666339067588570924371193873605074589083368675762348993822578635527343917860838990096610451261212984313893905548521166455769553865473552505582564371567038561498058638593905602156107761843162541595425871682506975495717864037833528438238967028958839225553104375046108287174166796728551684149317511074854072740952784245380226630675896194056265560258597385991461978628176367665065866549060168787776
D - decimal (to base 10) = [1,3,5,9,8,4,3,4,0,0,5,1,3,6,2,4,5,8,7,3,8,7,9,3,6,5,3,9,1,7,1,4,7,6,1,9,3,2,2,6,9,9,8,2,9,8,0,1,9,0,1,1,2,6,0,2,9,6,1,4,5,3,4,1,3,1,3,6,1,8,0,5,4,1,7,4,2,2,8,2,2,1,5,6,4,5,4,0,5,1,3,9,0,7,6,7,7,6,4,6,2,3,5,5,9,8,5,7,6,8,8,1,5,1,6,8,3,1,0,4,8,6,6,8,6,1,0,3,6,0,0,1,1,2,9,6,7,6,3,1,5,7,5,9,6,1,1,2,4,3,4,0,6,6,3,5,4,6,1,1,3,1,5,5,2,0,6,5,6,1,4,9,6,8,2,8,1,2,6,7,4,6,1,8,7,6,7,6,6,5,1,7,4,3,4,0,1,8,7,9,0,2,4,6,7,8,7,8,8,1,0,1,7,6,3,9,8,7,7,7,7,2,6,3,8,0,9,3,9,4,1,9,9,0,5,9,9,9,3,0,1,8,7,8,9,9,4,3,5,9,7,8,8,6,9,7,5,2,3,9,2,1,1,8,1,3,8,1,1,3,9,9,9,6,0,4,9,4,1,7,7,1,2,8,5,6,9,4,8,6,7,2,0,6,2,1,7,2,6,6,6,3,3,9,0,6,7,5,8,8,5,7,0,9,2,4,3,7,1,1,9,3,8,7,3,6,0,5,0,7,4,5,8,9,0,8,3,3,6,8,6,7,5,7,6,2,3,4,8,9,9,3,8,2,2,5,7,8,6,3,5,5,2,7,3,4,3,9,1,7,8,6,0,8,3,8,9,9,0,0,9,6,6,1,0,4,5,1,2,6,1,2,1,2,9,8,4,3,1,3,8,9,3,9,0,5,5,4,8,5,2,1,1,6,6,4,5,5,7,6,9,5,5,3,8,6,5,4,7,3,5,5,2,5,0,5,5,8,2,5,6,4,3,7,1,5,6,7,0,3,8,5,6,1,4,9,8,0,5,8,6,3,8,5,9,3,9,0,5,6,0,2,1,5,6,1,0,7,7,6,1,8,4,3,1,6,2,5,4,1,5,9,5,4,2,5,8,7,1,6,8,2,5,0,6,9,7,5,4,9,5,7,1,7,8,6,4,0,3,7,8,3,3,5,2,8,4,3,8,2,3,8,9,6,7,0,2,8,9,5,8,8,3,9,2,2,5,5,5,3,1,0,4,3,7,5,0,4,6,1,0,8,2,8,7,1,7,4,1,6,6,7,9,6,7,2,8,5,5,1,6,8,4,1,4,9,3,1,7,5,1,1,0,7,4,8,5,4,0,7,2,7,4,0,9,5,2,7,8,4,2,4,5,3,8,0,2,2,6,6,3,0,6,7,5,8,9,6,1,9,4,0,5,6,2,6,5,5,6,0,2,5,8,5,9,7,3,8,5,9,9,1,4,6,1,9,7,8,6,2,8,1,7,6,3,6,7,6,6,5,0,6,5,8,6,6,5,4,9,0,6,0,1,6,8,7,8,7,7,7,6]
- ("A" all the required digits in order)
œṗ - partition at truthy indices = [[1,3,5,9,8,4,3,4,0,0,5,1,3,6],[2,4,5,8,7,3,8,7,9,3,6],[5,3,9,1,7,1,4,7,6,1],[9,3,2,2,6,9,9],[8,2,9,8,0,1,9,0],[1,1,2,6,0,2,9,6],[1,4,5,3,4,1,3],[1,3,6,1,8,0,5,4],[1,7,4,2,2,8,2],[2,1,5,6,4,5,4,0],[5,1,3,9,0,7,6,7],[7,6,4,6,2,3,5],[5,9,8,5,7,6,8],[8,1,5,1,6,8,3],[1,0,4,8,6,6,8,6],[1,0,3,6,0,0,1],[1,2,9,6,7,6,3],[1,5,7,5,9,6,1,1,2],[4,3,4,0,6,6,3,5,4],[6,1,1,3,1,5,5,2,0],[6,5,6,1,4,9],[6,8,2,8,1,2],[6,7,4,6,1,8,7],[6,7,6,6,5,1],[7,4,3,4,0,1,8],[7,9,0,2,4,6,7,8],[7,8,8,1,0,1],[7,6,3,9,8,7,7],[7,7,2,6,3,8,0],[9,3,9,4,1,9,9,0],[5,9,9,9,3,0,1,8],[7,8,9,9,4,3,5],[9,7,8,8,6],[9,7,5,2,3,9,2],[1,1,8,1,3,8,1],[1,3,9,9,9,6,0,4,9],[4,1,7,7,1,2,8],[5,6,9,4,8,6,7,2,0],[6,2,1,7,2,6],[6,6,3,3,9,0],[6,7,5,8,8,5],[7,0,9,2,4,3],[7,1,1,9,3,8],[7,3,6,0,5,0],[7,4,5,8,9,0],[8,3,3,6,8,6],[7,5,7,6,2,3,4],[8,9,9,3,8,2,2],[5,7,8,6,3,5,5,2],[7,3,4,3,9,1,7],[8,6,0,8,3,8,9],[9,0,0,9,6,6],[1,0,4,5,1,2,6],[1,2,1,2,9,8,4,3,1],[3,8,9,3,9,0,5,5,4,8],[5,2,1,1,6,6,4],[5,5,7,6,9],[5,5,3,8,6],[5,4,7,3],[5,5,2,5,0],[5,5,8,2],[5,6,4,3,7,1],[5,6,7,0,3,8,5],[6,1,4,9,8,0],[5,8,6,3,8],[5,9,3,9,0,5],[6,0,2,1,5],[6,1,0,7,7],[6,1,8,4,3,1],[6,2,5,4,1,5,9],[5,4,2,5,8,7,1],[6,8,2,5,0,6,9],[7,5,4,9,5,7,1],[7,8,6,4,0,3],[7,8,3,3,5,2],[8,4,3,8,2,3],[8,9,6,7,0,2],[8,9,5,8,8,3],[9,2,2,5,5,5,3],[1,0,4,3,7,5,0,4],[6,1,0,8,2,8,7,1],[7,4,1,6,6,7,9,6],[7,2,8,5,5,1,6],[8,4,1,4],[9,3,1,7,5,1],[1,0,7,4,8,5],[4,0,7,2,7,4,0,9],[5,2,7,8,4,2,4],[5,3,8,0,2,2,6],[6,3,0,6,7],[5,8,9],[6,1,9,4,0,5],[6,2,6,5,5],[6,0,2,5,8],[5,9,7,3,8],[5,9,9,1,4],[6,1,9,7,8],[6,2,8,1,7],[6,3,6,7,6],[6,5,0],[6,5,8],[6,6,5],[4,9,0],[6,0,1],[6,8],[7,8],[7,7],[7,6]]
Ç€ - call the last link (1) as a monad for €ach = [13.598434005136,24.587387936000002,5.391714761,9.322699,8.298019,11.260295999999999,14.534129999999998,13.618053999999999,17.422819999999998,21.56454,5.1390766999999995,7.646235,5.985767999999999,8.151683,10.486686,10.360009999999999,12.96763,15.759611200000002,4.34066354,6.1131552000000005,6.561490000000001,6.82812,6.746187,6.76651,7.434018,7.902467799999999,7.881010000000001,7.639876999999999,7.72638,9.394199,5.9993018,7.8994349999999995,9.7886,9.752392,11.81381,13.9996049,4.177128,5.6948672,6.2172600000000005,6.633900000000001,6.758850000000001,7.09243,7.1193800000000005,7.360500000000001,7.458900000000001,8.336860000000001,7.5762339999999995,8.993822,5.7863552,7.343916999999999,8.608388999999999,9.00966,10.45126,12.129843099999999,3.893905548,5.211664,5.5769,5.538600000000001,5.473,5.525,5.582,5.6437100000000004,5.670385,6.149800000000001,5.8638,5.939050000000001,6.0215000000000005,6.1077,6.184310000000001,6.254159,5.425871,6.825069,7.549570999999999,7.8640300000000005,7.833520000000001,8.43823,8.967020000000002,8.95883,9.225553,10.437504,6.1082871,7.416679599999999,7.285515999999999,8.414,9.31751,10.7485,4.072740899999999,5.278423999999999,5.3802259999999995,6.3067,5.89,6.194050000000001,6.2655,6.0258,5.973800000000001,5.9914000000000005,6.1978,6.281700000000001,6.3676,6.5,6.58,6.65,4.9,6.01,6.800000000000001,7.800000000000001,7.7,7.6000000000000005]