I think it's because the letters here represent digits, rather than numbers, isn't it?
Thanks, -- Raul On Sun, Nov 1, 2020 at 3:00 PM 'Michael Day' via Programming <[email protected]> wrote: > > Thanks, David > > Why these singletons and pairs of letters? > It looks as if some permutation of the 4x4 square of letter groups might > form words across and down. Then again, perhaps not, given pv and nx > and that there are only 3 solo (semi)vowels! > > Mike > > On 01/11/2020 17:17, David Lambert wrote: > > NB. puzzle: substitute the digits 0-9 for the the letters > > NB. to form a magic square of sum 99 > > > > NB. (published puzzle hinted that y is 8 should you try it with > > pen and paper) > > > > _4 [\ ;:'ph h ne th na tc he e pn nx y pp a pt pv nc' > > ┌──┬──┬──┬──┐ > > │ph│h │ne│th│ > > ├──┼──┼──┼──┤ > > │na│tc│he│e │ > > ├──┼──┼──┼──┤ > > │pn│nx│y │pp│ > > ├──┼──┼──┼──┤ > > │a │pt│pv│nc│ > > └──┴──┴──┴──┘ > > > > > > NB. a solution with Engine: j902/j64avx2/linux Beta-j: > > commercial/2020-10-29T16:04:59 > > NB. !10 is small enough to try all permutations. > > > > NB. method: select solutions from all literal puzzle substitutions > > > > A=:'ph h ne th na tc he e pn nx y pp a pt pv nc' > > S=: ' ' ([ ,~ (-.~ ~.)) A NB. 'phnetacxyv ' the set of puzzle > > character with space at index 10 > > > > NB. I is the puzzle converted to indices, > > I=: S i. A > > > > NB. w computes to 1 iff all rows, columns, and diagonals sum to 99 > > w=: (0 -.@e. 99 = +/ , +/"1 , +/@:((<0 1)&|:) , +/@:((<0 > > 1)&|:)@:|:)@:(_4 [\ 0&".) > > > > NB. P is a table of all permutations of the digits, followed by the > > space character > > P=:' ' ,.~ ({~ (A.&i.~ !)@:#) Num_j_ > > > > NB. literal table J are all substitutions > > J=:I {"1 P > > NB. for example here are the head and tail rows > > ({. ,: {:) J > > 01 1 23 41 25 46 13 3 02 27 8 00 5 04 09 26 > > 98 8 76 58 74 53 86 6 97 72 1 99 4 95 90 73 > > > > NB. filter solutions > > SOLUTIONS=: (#~ w"1) J > > > > $ SOLUTIONS > > 1 43 > > > > datatype SOLUTIONS > > literal > > > > A, SOLUTIONS > > ph h ne th na tc he e pn nx y pp a pt pv nc > > 21 1 46 31 47 30 16 6 24 45 8 22 7 23 29 40 > > > > (_4 ]\ ".)"1 SOLUTIONS > > 21 1 46 31 > > 47 30 16 6 > > 24 45 8 22 > > 7 23 29 40 > > > > ---------------------------------------------------------------------- > > For information about J forums see http://www.jsoftware.com/forums.htm > > > -- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
