Hey Chris, This may be too simple a solution, but wouldn't the 6th in the series for problem 4 be 5211055596?
My reasoning is that the overlap progressively shifts from right to left. The second five of the first with the first five of the second; the second 8 of the third with the first 8 of the fourth; and continuing the shift we overlap the first 9 of the fifth with the last 9 of the sixth (the progressive shift on the overlap would require the first number of the sixth to be previous to the fifth). The doublets are 11, 55, 55 (the triple 555 is actually two doublets; first 5 and second 5, second 5 and third 5). Waiting to feel foolish :) Cheers, bob On -Nov23-2009, at -Nov23-20096:02 PM, Chris Burke wrote: > Just following up on Ian's recent messages, see below. > > Ian tells me the only major items outstanding for publishing the > second > edition are these two questions. > > Any help on them would be much appreciated, thanks. > > > -------- Original Message -------- > Subject: Re: [Jprogramming] APWJ exercises for the reader [3 of 4] > Date: Thu, 19 Nov 2009 03:56:05 +0000 > From: Ian Clark <earthspo...@googlemail.com> > Reply-To: Programming forum <programming@jsoftware.com> > To: Programming forum <programming@jsoftware.com> > References: <45319e520911110355r6b78ebd2paec3ebeb2cb8d...@mail.gmail.com > > > > Almost ready to publish APWJ Edn. Just need answers to these 2 > problems, [3 of 4] and [4 of 4]. > > Ian > > > > > On Wed, Nov 11, 2009 at 11:56 AM, Ian Clark <earthspo...@googlemail.com > > > wrote: >> In At Play With J Edn 1, there were 4 questions left as exercises for >> the reader. In Edn 2 we want to provide the answers in an Appendix. >> >> Just so I don't get them wrong, could the forum please suggest what >> the answers should be? You may have to refer to the Wiki page. >> >> I'm putting each question in a separate thread. >> >> +++++ >> in: Ch 38 The Google Test >> http://www.jsoftware.com/jwiki/Doc/Articles/Play211 [see end-of-page] >> >> Problem 2: Finding the sixth in a series >> >> You are given five 10-digit numbers from the digits of pi, and must >> find the sixth. Here are the numbers: >> >> 4338327950 >> 2795028841 >> 6939937510 >> 3993751058 >> 2110555964 >> >> Here they are, embedded in pi: >> >> 7 30 $ w >> 31415926535897932384626<4338327 >> 95028841>971<693993751058>2097494 >> 459230781640628620899862803482 >> 534211706798214808651328230664 >> 709384460955058223172535940812 >> 84811174502841027019385<2110555 >> 964>462294895493038196442881097 >> >> The first and second overlap, as do the third and fourth. >> >> I'll give two hints, the second vacuous: >> >> Hint 1: Primarily, the sixth number has three doublets and overlaps > the fifth. >> >> Hint 2: Alternately, something for nothing. >> +++++ >> >> >> Ian Clark >> Subeditor, APWJ Edn 2 >> > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
