[r-t] Long Lengths of Other Methods

[Richard Smith]

I've also been looking at long lengths of some other
methods, in particular, what the largest sets of
mutually-true leads or courses are for different methods.
I've looked at 23 different methods, most of which are
fairly standard, though there are a few which just seemed
like a good idea at the time.

To look at this, I've been using a perturbative algorithm,
randomly adding leads (courses) and removing anything that's
false against it.  The following data is generated using the
best of five 1,000,000 step runs.  (This is not really
enough to provide good figures in the first column (one-part
compositions in leads) as is demonstrated by the fact that
for several of the methods the first column is *not* the
maximum result found.)

                           In leads                  In whole courses
                ------------------------------    ----------------------
Name            1-part  3-part  5-part  7-part    1-part  3-part  5-part
------------------------------------------------------------------------
Belfast            650     657     645     637       441     441     420
Bendigo            392     405     390     399       168     168     105
Bristol            973     963     965     980       840     840     805
Cambridge          636     636     635     616       315     273     280
Cassiobury         900     900     865     777       665     651     595
Cornwall          1063    1068    1060    1064       756     756     700
Derwent           1260    1260    1260    1260       903     882     875
Double Dublin      945     927     905     945       756     756     700
Gemini             525     507     505     525       294     294     245
Glasgow            569     600     600     560       378     378     315
Isambard           675     660     655     672       406     399     385
Kent TB           1008    1008    1000     840       490     504     490
Lessness           917     894     895     917       588     567     455
Lincolnshire       672     618     595     672       273     252     175
London             614     606     605     581       448     462     455
Oxford TB         1008    1008    1000     840       504     504     490
Peterborough       973     963     965     980       840     840     805
Pudsey             756     732     730     756       420     399     350
Rutland            662     675     720     658       378     378     315
Superlative        672     627     620     672       420     504     420
Uxbridge           917     894     895     917       588     567     455
York               738     738     690     700       490     462     490
Yorkshire          783     783     755     728       665     651     595
------------------------------------------------------------------------

In general, the sets of courses can usually (though not
always) be joined up by using 14 bobs (in seconds place
methods) or 16 bobs (in eighths place methods).  By
comparison, the sets of individual leads usually cannot be
joined up as they stand.

Richard