[r-t] 8-spliced touch

[Martin Cansdale]

2008/8/7 Philip Earis <pje24 at cantab.net>:
> On a different point, I have a problem that should be fairly simple to
> solve.  Much as I dislike them, I'm interested in the most musical short
> touch of the so-called "standard" 8 surprise major methods. The
> constraints are:
>
> - The touch should contain all 8 methods, with a change of method only at
> the leadhead.
>
> - Bobs (14) and Singles (1234) at the leadhead are fine.
>
> - The length of the touch should be between 253 changes (ie comes round at
> handstroke snap just before 8 leads) and 258 changes (comes round at
> backstroke snap).
>
> - Music is defined by occurance of <4-runs> - each appearance of 1234,
> 2345, 3456, 4567 or 5678 (or their reverses) in a row scores 1. (So rounds
> scores 5, the row 56784321 scores 2 etc).
>
> - Truth is not essential, but should ideally be recorded so a sub-list of
> true touches can be compared.
>
> - As a supplement, I'd also be interested in the results of touches up to
> both 9 leads (+ 2 changes), and 10 leads (+ 2 changes).
>
> The problem is so constrained that I would have thought it should be
> possible to solve exhuastively without too much trouble.  Can anybody do
> this and supply the results?  Indeed, has anyone done this before?

Right, I've finally got round to finishing this. All touches are in
the format of method/call pairs (p=plain, -= bob, s=single), length,
truth, score. As you'll see and probably unsurprisingly, all of the
highest scoring touches are trivially false. I might introduce a
same-leadend-twice check at some point. Here are the overall and true
top tens, from the 406,992 touches of the desired length:

MJC

All touches:
ppnpbpsplpcpyprp 256 false 65
bpypnppplpcpsprp 256 false 65
bpspnppplpcpyprp 256 false 65
ppnpbpyplpcpsprp 256 false 64
ppcpbpsplpnpyprp 256 false 64
bpypnpsplpcppprp 256 false 64
bpppnpsplpcpyprp 256 false 64
ppcpbpyplpnpsprp 256 false 63
npppbpsplpcpyprp 256 false 63
bpypnplpppcpsprp 256 false 63
bpypcppplpnpsprp 256 false 63
bpspnpyplpcppprp 256 false 63
bpspnplpppcpyprp 256 false 63
bpspcppplpnpyprp 256 false 63
bpppnpyplpcpsprp 256 false 63

True touches:
npcprpyppsb-lpspc 258 true 46
npcprpsppsb-lpypc 258 true 46
cpnprpyppsb-lpspc 258 true 46
cpnprpsppsb-lpypc 258 true 46
spnprpyppsb-lpcpc 258 true 44
spnpcpyplsb-rpppc 258 true 44
spcprpyppsb-lpnpc 258 true 44
ppnpcpyplsb-sprpc 258 true 44
bsrpypcpnpp-lpspc 258 true 44
spppcpyplsb-rpnpc 258 true 43
spnpcpyplsb-pprpc 258 true 43
spnpcplppsb-rpypc 258 true 43
spcprpnppsb-lpypc 258 true 43
spcpnpyplsb-rpppc 258 true 43
rpspnpypl-cpp-bss 258 true 43
ppnprpypssb-lpcpc 258 true 43
ppcprpypssb-lpnpc 258 true 43
ppcpnpyplsb-sprpc 258 true 43
bsrpypnpppc-lpspc 258 true 43
bsrpypnpcpp-lpspc 258 true 43
bsrpypcpppn-lpspc 258 true 43
bsrpcpnpypp-lpspc 258 true 43