Re: Base function

*To*: mathgroup at smc.vnet.net*Subject*: [mg88180] Re: Base function*From*: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>*Date*: Sun, 27 Apr 2008 04:59:35 -0400 (EDT)*Organization*: The Open University, Milton Keynes, UK*References*: <fuumbc$88b$1@smc.vnet.net>

haitomi wrote: > ((1*12 + 4)*11 + 4)*10 + 4 > > 1804 > > I need help with a function find the Calander "base" > > Cbase[1804,{12,11,10}] > > out put will be > {1,4,4,4} Since the above (incomplete) assignment sounds like homework, I shall suggest, without further explanation, one possible coding for such a function. cBase[d_Integer?NonNegative, l : {a_, b_, c_} /; VectorQ[l, IntegerQ@# && Positive@# &]] := Module[{v = {e, f, g, h}}, v /. ToRules@ Reduce[c (a b e + b f + g) + h == d && And @@ Thread[0 <= v <= 9], Integers]] cBase[1804, {12, 11, 10}] {1, 4, 4, 4} Note that the code above does not attempt to handle in any specific way cases where no solution or multiple solutions may arise. Regards, -- Jean-Marc