Now that I've peeked at Roger's essay, it's even simpler to provide a counter-example using his code, e.g. 7 = 2 * 4 - 8 % 6 + 10|
On Fri, Jul 5, 2013 at 12:25 PM, Devon McCormick <devon...@gmail.com> wrote: > 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 > -- Devon McCormick, CFA ^me^ at acm. org is my preferred e-mail ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm