[r-t] Out-of-course Surprise Minor
Alexander Holroyd
holroyd at math.ubc.ca
Mon Sep 29 05:44:27 UTC 2014
I've now had a chance to address the issue of arranging "plans" of true
leads into extents. (It is possible to use the exact cover algorithm for
this phase as well, which makes it very fast to run). In particular I
have found all out-of-course extents that use only one type of single,
where the single can be any one of the 4 possible treble-fixed single
changes.
There are some interesting splices. I include below a fairly
representative sample of extents. The ones that appear not to come round
are 3-parts and 5-parts. I have not made any attempt to choose the
best starting points. Calls are:
$ 1234
% 1456
# 1256
@ 1236
Bm$ 46235
Bm- 52463
Bm- 34526
Bc 65234
Bm$ 24653
Bm$ 63245
Bm- 52634
Bm- 46523
Bm- 35462
Bm$ 42356
Bm$ 46235
Bc 52346
Bm 35624
Bm$ 64352
Bm$ 32645
Bm 63524
Bm 56432
Bm- 24563
Bm- 35246
Bm$ 26354
Ak 64523
Ak- 23564
Ak$ 46523
Lf 23654
Lf$ 53462
Ak$ 26453
Lf 53642
Lf 42365
Lf- 26534
Lf$ 36452
Nw- 56423
Nw$ 32456
St 25364
St 56243
Wm 43625
Wm- 32564
St 26345
Wm 45632
Wm- 53264
Wm$ 63425
Nw$ 65423
Wm 23546
Wm 46352
Wm 52634
Wm$ 32465
Nw$ 56432
Wm 32645
Wm 45263
Wm- 56324
Wm$ 26435
Sa 42635
Sa- 56423
Sa$ 43562
Ws 36425
Ws$ 63254
Sa 26435
Sa 42563
Sa$ 53426
Ws 32564
Ws$ 23645
Sa 42635
Sa$ 65423
Ws- 65234
Ws 53642
Ws$ 35426
Sa 43652
Sa$ 62435
Ws 23654
Ws 35246
Ws$ 53462
Sa 42635 Sa- 36524 Ws- 63524
Sa 64523 Sa 53462 Ws 32645
Sa 56342 Sa 45236 Ws- 32456
Sa- 23564 Sa- 62453 Ws- 32564
Sa 52436 Sa 46325 Ws 26345
Sa 45623 Sa 34562 Ws- 26453
Sa- 36452 Sa 53246 Ws$ 62534
Sa 43265 Sa$ 26534 Sa 56423
Sa 24536 Ws 63245 Sa 45362
Sa 52643 Ws- 63452 Sa- 23456
Sa$ 46235
Ws$ 64352
Ws$ 46523
Ws$ 64235
Sa 26543
Sa$ 53264
Ws$ 35642
Ws$ 53426
Ws 32564
Ws$ 23645
Wo 64523
Sa- 35642
Wo 26435
Sa 42563
Sa 54326
Wo 63254
Sa- 42635
Wo 56342
Sa$ 32564
Ws$ 23645
Ak 64523
Nw 35264
Nw 42635
Ak$ 53642
Lf$ 43265
Ak- 65243
Nw 32465
Nw 54632
Ak$ 23654
Lf$ 53462
Ak- 56423
Ak$ 32456
Lf- 25643
Lf 43562
St 36425
Lf- 62543
Wm 43256
St 35462
Ro 56324
Lf$ 26435
Ak$ 65423
Lf 23546
Wm 46352
Wm- 65234
Lf$ 35426
Ak$ 62435
Lf 35246
Wm 46523
Wm 23654
Lf$ 53462
Ak 64523
Nw$ 32564
Wm$ 62453
Nw 34562
Ak 25634
Ak- 34625
Nw$ 52634
Wm$ 32465
Nw 54632
Ak 26354
Bo$ 65423
Sa 46352
Sa- 23465
Sa 42536
Sa$ 56423
Hu 23645
No- 62345
No- 36245
No 23564
No 52436
Cm$ 53642 Pr 64352 Cm- 42356
Cu$ 35426 Pr 45623 Nf 63542
Ip 43652 Cm- 52364 Nf 25463
Ip- 26435 Ip- 43526 Nf 34625
Ip 42563 Nf 65243 Ip- 56342
Nf 35642 Nf 32465 Cm- 64235
Ip 63254 Nf 54632 Ip$ 25643
Ip- 42635 Ip- 26543 Cu$ 52436
Cm- 23564 Ip- 35264 Cm$ 32645
Pr 36245 Cm 64523 Cu$ 23456
St 35264
Wm$ 65423
Nw- 23465
Nw$ 56423
Wm- 62345
Wm 45236
Ro 53462
Wm- 36245
Lf 45623
Ro 52436
Ne$ 65423
Sa 46352
Sa- 23465
Sa 42536
Sa$ 56423
Ab 23645
No- 62345
No- 36245
No 23564
No 52436
Ak 64523
Ak$ 32564
Ne 45632
Ne- 32645
Ne 56432
Ne- 32456
Lf 56243
Lf 43625
Lf$ 23564
Nb- 36452
Ak 64523 Lf 43625 Ne 63245
Ak- 23564 Lf- 32564 Ne 52463
Nb- 36452 Ne 45632 Ne- 63452
Ak 24536 Ne 26345 Lf 52346
Ak- 36524 Ne 53426 Lf 46235
Nb- 62453 Ne- 26453 Lf- 63524
Ak 34562 Lf 53642 Ne 45263
Ak- 62534 Lf 42365 Ne 32645
Nb$ 32456 Lf- 26534 Ne 56432
Lf 56243 Ne 45326 Ne$ 23456
Ak 64523
Ak- 23564
Nw$ 46523
Wm 23654
Wm$ 53462
Nw$ 26453
Wm 53642
Lf 42365
Wm- 26534
Lf$ 36452
Ak$ 65423
Lf 23546
Lf$ 43652
Ak$ 25643
Lf 43562
Wm 62354
Lf- 25436
Wm$ 35642
Nw 26435
Nw- 35426
Nw$ 65423
Wm- 52346
Wm 46235
Ro 63452
Lf- 35246
Lf 46523
Ro 62435
St 23654
Lf$ 53462
Ak- 62453
Bo 64523
Ws$ 46235
Sa- 52463
Sa 45326
Sa$ 36452
Hu 52643
No- 65243
No- 26543
No 52364
No 35426
Bo- 56423 Hu 63542 Cm- 64523
Hu 23645 Pr 34625 Ip$ 53642
Cm 45362 Ip- 56342 Cu$ 35426
Cm 62534 Cm 42635 Hu 26543
Ip- 45623 Cm- 23564 Pr 64235
Cm- 52364 Ip- 45236 Ip$ 25643
Nf 43652 Pr 53462 Cu$ 52436
Cm- 35264 Hu 62345 Bo 64352
Ip- 42356 Pr 24653 Ip$ 32645
Pr 25463 Ip- 36245 Cu$ 23456
Cm 56342 Ip- 64352 Cu$ 36524
Cm 42635 Cm 52436 Ab 24653
Ip- 56423 Cm- 23645 Pr 45236
Cm- 62345 Ip- 56234 Ip$ 26453
Nf 53462 Pr 63542 Cu$ 62534
Cm- 36245 Ab 42356 Ne 45362
Ip- 52364 Pr 25463 Ip$ 32456
Pr 26543 Ip- 34256 Cu$ 23564
Ab 43652 Cm- 45623 Ne- 64523
Pr 35426 Ip$ 63452 Ab 23456
Ne 64523
Ws$ 46235
Sa- 52463
Sa 45326
Sa$ 36452
Ab 52643
No- 65243
No- 26543
No 52364
No 35426
Ab 56342
No 35264
No- 23564
No- 52364
No 35426
Ne 64235
Ws- 64352
Ws- 64523
Ws$ 46235
Sa$ 25463
Ak 64523 Wm 43625 Ne 63245
Ak- 23564 Lf- 32564 Ne 52463
Nb- 36452 Ne 45632 Ne- 63452
Ak 24536 Ne 26345 Lf 52346
Ak- 36524 Ne 53426 Wm 46235
Nb- 62453 Ne- 26453 Lf- 63524
Ak 34562 Lf 53642 Ne 45263
Ak- 62534 Wm 42365 Ne 32645
Nb$ 32456 Lf- 26534 Ne 56432
Lf 56243 Ne 45326 Ne$ 23456
Ak 64523
Ak- 23564
Nb$ 63452
Lf 52346
Wm 46235
Lf- 63524
Ne 45263
Ne- 63245
Ne 52463
Ne$ 36452
Ak- 56423
Ak% 23465
Ro 36254
Ro 65342
Lf 42536
Lf- 23654
Ro 35246
Lf 46523
Lf- 62354
Lf% 25463
Cu% 23546 Nf 53642 Ip 43562
Ip 52634 Ip% 26543 Ip- 25436
Ip- 46523 Cu% 26453 Ip 42653
Ip 54362 Nf 34526 Ip% 36452
Ip 35246 Ip- 65342 Cu% 36542
Ip 23654 Nf 23465 Ip 53264
Ip 62435 Ip- 54236 Ip- 42536
Ip- 54623 Ip 25643 Ip- 65423
Nf 36254 Ip 62354 Ip 46352
Ip- 42365 Ip 36425 Ip% 23456
Bv 56342 We% 52643 Bv 42563
Bv- 64235 Du- 52436 Bv 63254
Bv- 43526 Du 23564 Bv- 35426
Du- 43265 Du- 23645 Bk 52364
Du% 43625 Du% 23465 Bk 26543
We% 56423 We% 54263 Bv 43652
Du- 56234 Du- 54632 Bv- 35264
Du 63542 Du- 54326 Bv 64523
Du- 63425 Bv 26435 Bk 42635
Du% 63245 Bv 35642 Bk 23456
Bo- 56423 Cm- 64523 Cm 43652
Bo% 23465 Nf 35264 Cm 52364
Cu% 23645 Ip- 42356 Ip 35426
Cm 45362 Cm% 25643 Bo- 26435
Cm 62534 Cu% 25463 Bo% 35462
Ip- 45623 Hu 63542 Cu% 35642
Cm 23564 Pr 34625 Cm 42563
Ip 52436 Ip- 56342 Cm 63254
Bo 64352 Cm- 64235 Ip- 42635
Ip 36245 Ip 26543 Pr 23456
Bv- 35642 Du- 54632 Yo- 52436
Bv 42563 Du 43526 Yo- 52364
Bk 26435 Yo- 43265 Yo 26543
Bk 63254 Yo% 43625 Du 64235
Bv 54326 We% 56423 Du 43652
Bv- 42635 Du- 56234 Yo 35426
Bv- 23564 Du 63542 Du- 35264
Du- 23645 Du- 63425 Bk 56342
Du% 23465 Du% 63245 Bk 64523
We% 54263 We% 52643 Bv 23456
Cm- 35642 Cm% 63452 Ne 65243
Nf 26435 Cu% 63542 Ip 26354
Ip- 54263 Ne- 42563 Cm 54632
Cm 63425 Ab 63254 Cm 32465
Ip 46532 Cm- 35426 Ip- 54326
Ne 25346 Ip 43652 Cm- 42635
Ip 32654 Cm 52364 Nf 56342
Cm- 25463 Cm% 26453 Pr 64523
Ip 42356 Cu% 26543 Ne% 23546
Cm 56234 Ne- 43526 Cu% 23456
Bo- 56423 Du- 23645 Bv- 26435
Du- 56234 Du 34256 Bv- 63542
Du- 56342 Du 45362 Du- 63425
Bv- 64235 Du# 56432 Du- 63254
Bv 35426 We 45263 Bo 42563
Du# 52346 We- 32456 Bv# 63245
We# 35642 We# 43652 We# 26543
Du 54326 Bo- 52643 Bv# 43625
Bv- 42635 Du- 52436 We# 64523
Bv- 23564 Du- 52364 Bv 23456
Bo- 56423 We- 32456 Bv 26435
Du- 56234 We# 43652 Bv- 63542
Du- 56342 Bo- 52643 Du- 63425
Bv 42635 Du- 52436 Du- 63254
Bv- 23564 Du- 52364 Bo 42563
Du- 23645 Bv 64235 Bv# 63245
Du 34256 Bv 35426 We# 26543
Du 45362 Yo# 52346 Bv# 43625
Du# 56432 Lo# 35642 We# 64523
We 45263 Yo 54326 Bv 23456
Cu 35264
Cu 56342
Cu@ 65342
Ip 36254
Ip 23465
Ip@ 45623
Du 35264
Du 56342
Du@ 65342
We 36254
We 23465
We@ 45623
Lo 42635
Lo 64523
Lo@ 53264
Yo 36542
Yo 64325
Yo@ 46325
Ak 64523
Nw@ 32456
Wm@ 52364
Nw- 64352
Ak 23564
Ak 45623
Nw@ 32564
Wm@ 62345
Nw 53462
Ak 24653
Cl 35264
Cl@ 53264
Ip@ 24653
Cu 45236
Cu 53462
Cl 36524
Cl@ 63524
Ip@ 54263
Cu@ 45263
Ip@ 23645
Pr 35264 Cu 52463 Cu@ 64235
Pr 56342 Cu@ 25463 Ip 26543
Pr 64523 Ip 42356 Ip@ 53426
Pr 42635 Ip 34625 Cu 32564
Cm- 23564 Ip@ 65234 Cu- 32645
Ip 52436 Cu 53642 Cu@ 23645
Ip 45623 Cu@ 35642 Ip@ 65423
Ip@ 63245 Ip 63254 Cu@ 56423
Cu 34652 Ip@ 24563 Ip 45362
Cu 45326 Cu 46235 Ip- 23456
Du 35264
Yo 56342
Du@ 65342
Lo 36254
We 23465
Lo@ 45623
Du 35264
Yo@ 53264
We 25436
Lo 42653
We@ 63542
Yo 34625
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