It may be possible to come up with an impossible-to-solve combination, but it's easy to find a counter-example to the scenario you propose:
obj=. 7 NB. a prime cc=. 2 4 6 8 10 NB. all even cards (10%2)+4%8-6 7 On Fri, Jul 5, 2013 at 12:17 PM, <penny1...@comcast.net> wrote: > > > I have not written to this group in 4-5 years. Am still on J402 (I think), > and have not fired it up in years. > > (many reasons, none really good, but, that's life) > > > > Never-the-less, Krypto captured my attention. > > > > I ask, is it possible to "deal" a Krypto hand that cannot be solved? > > > > I think so, and posit, a prime "objective card", and the remaining five, > even numbers. > > > > Can someone please critique my query & self-response ? > > > > Thanks. > > > > Dick Penny > > > > ----- Original Message ----- > > > From: "Roger Hui" <rogerhui.can...@gmail.com> > To: "Programming forum" <programm...@jsoftware.com> > Sent: Thursday, July 4, 2013 1:37:45 PM > Subject: [Jprogramming] Krypto > > Happy Fourth of July to our American colleagues. > > A new essay "Krypto" <http://www.jsoftware.com/jwiki/Essays/Krypto> has > been added. It's an amusing puzzle which you may want to try your hand at > before looking at the solution. > > Krypto <http://en.wikipedia.org/wiki/Krypto_(game)> is a mathematical card > game. The Krypto deck has 56 cards: 3 each of numbers 1-6, 4 each of the > numbers 7-10, 2 each of 11-17, 1 each of 18-25. > > Six cards are dealt: an objective card and five other cards. A player must > use all five of the latter cards' numbers exactly once, using any > combination of arithmetic operations (+, -, *, and %) to form the objective > card's number. The first player to come up with a correct formula is the > winner. The more strict "International Rules" specify the use of positive > integers only; fractional and negative intermediate results are not > permitted. > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > -- Devon McCormick, CFA ^me^ at acm. org is my preferred e-mail ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm