From: Rob Biedenharn Date: 2009-11-12T01:03:26+09:00 Subject: Re: Roman Numerals (Arrgh!) On Nov 11, 2009, at 10:56 AM, Paul Smith wrote: > On Wed, Nov 11, 2009 at 3:51 PM, Gennady Bystritsky > wrote: >> >> On Nov 11, 2009, at 5:35 AM, Rob Biedenharn wrote: >> >>>>> >>>>> And with an appropriately formed $numerals array, the "subtraction >>>>> rule" is already covered. ;-) >>>> >>>> Would you please elaborate? You mean same algorithm and "better" >>>> $numerals would cover mapping of 4 => "IV", 9 => "IX", etc.? >>>> >>>>> >>>>> -Rob >>> >>> >>> Yes, that's it exactly. Testing/using 9 before 5, you find IX (and >>> stop) before you go to VIIII. You can't repeat one of the >>> "subtraction >>> groups" the way that you can repeat the individual numerals: 8 is >>> always VIII and never IVIV or IIX >> >> Now you intrigued me ;-). So I am asking directly -- given the >> following $numerals: >> $numerals = [[1000, "M"], [500, "D"], [100, "C"], [50, "L"], [10, >> "X"], [5, "V"], [1, "I"]] > > $numerals = [[1000, "M"], [900, "CM"], [500, "D"], [400, "CD"], [100, > "C"], [90, "XC"], [50, "L"], [40, "XL"], [10, "X"], [9, "IX"], [5, > "V"], [4, "IV"], [1, "I"]] > >> >> ...how one can transform it so that the original algorithm would >> produced shortened roman numbers? Please present the exact value of >> $numerals satisfying the above condition. >> >> Gennady. > -- > Paul Smith > http://www.nomadicfun.co.uk > > paul@pollyandpaul.co.uk Oh, sorry. I meant "What Paul said" -Rob Rob Biedenharn http://agileconsultingllc.com Rob@AgileConsultingLLC.com