1.Naked single
2.naked pair
3.naked triple
4.naked quad
5."45" rule: single innie or single outie on any combination of nonets, rows or columns
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
|A.08 41 0.82| | |
| | | |
|====================================================================|
|====================================================================|
#5
6.hidden single
7.invalid cage combination in a normal cage: with possible redundant candidates
8.invalid cage combination in a hidden cage: with possible redundant candidates
9.hidden pair
10.Locked candidate for a nonet/row/column
11.invalid cage sum in normal 2-cell cage
12. invalid cage sum in
a. split cage with 2-cell split cage remaining
b. 2-cell hidden cage
13. NonCon cells
14."45" Rule Two Innies or two Outies:
a. Single house to find 2-cell outies
b. Multiple houses to find 2-cell outies
c. Single house to find 2-cell innies
d. Multiple houses to find 2-cell innies
e. split cage to find 2-cell outies
f. split cage to find 2-cell innies
g. OR two sINGLE houses to find double hidden 2-cell cage
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
|A..1(0.75)b 13 0.81|A..5(0.75)d 15 0.86|A..9(0.75)c 20 0.83|
|A.10(0.75)e 10 0.86|A.11 c 18 0.89|A.12 b 32 0.85|
|A.13 c 10 0.84|A.14(0.75)c 10 0.82|A.17(1.00)g 13 0.85|
|A.21 c 35 0.85|A.23 d 42 0.87| |
|====================================================================|
|====================================================================|
#14
15.Locked cage
a. cage sum requires a candidate; locked for r/c/n
b. split cage sum requires a candidate
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
| | | |
| | | |
|====================================================================|
|====================================================================|
#15
16. Locked Candidate (House/Cage): A cage that has the last place for a candidate in a house cannot have that candidate in that cage in another house
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
| | | |
| | | |
|====================================================================|
|====================================================================|
#16
17. Forced cage candidate: a cage that has the last place for a candidate in a house -> all combinations must have that candidate with possible redundant candidate
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
|A..2(0.75) 31 0.88|A.20 33 0.91|A.28 16 0.90|
|A.53 46 0.99| | |
|====================================================================|
|====================================================================|
#17
18. Locked Candidates Centre Dot
19.Hidden triple
20. Hidden quad
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
| | | |
| | | |
|====================================================================|
|====================================================================|
#20
21. Locked Cage Extended: all (remaining) combinations in a hidden cage require a candidate which locks that candidate (see A6 step 102)
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
| | | |
| | | |
|====================================================================|
|====================================================================|
#21
22. Cage placement: invalid permutation in n-cell cage with (..) remaining candidates leads to redundant candidates
a. 3-cell cage
b. 3-cell hidden cage
c. 4-cell cage
d. 4-cell hidden cage
e. 5-cell cage
f. 5-cell hidden cage
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
|A.04 (a15)19 0.87|A.19(1.00)(c17)52 0.94|A.25 (c14) 0.91|
|A.37 (a9) 72 0.97|A.40 (c23) 0.97|A.41 (c14) 0.89|
|====================================================================|
|====================================================================|
#22
23. one cell cage block ie candidates remaining in one cell blocks combinations in a cage/split cage completely in the same house
a. 2 remaining candidates in one cell
b. 3 remaining candidates in one cell
d. 4 remaining candidates in one cell
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
| | | |
| | | |
|====================================================================|
|====================================================================|
#23
24. NonConsecutive Cage Combinations
25. NonConsecutive Cage Placement
26. Forced Cage Candidates - Extended;ie redundant combos or candidates since last place for candidate in a house is only in
a.a hidden cage
b.or 4-cell combined cage
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
| | | |
| | | |
|====================================================================|
|====================================================================|
#26
27. Killer pair between
a. one cell + one cage completely in same house
b. 2 normal cages both completely in same house
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
|A.03 a 20 0.95|A.15(0.75)a 26 0.91| |
| | | |
|====================================================================|
|====================================================================|
#27
28. Killer pair (SS calls this kind "Hidden killer pair") between
a. one cell + hidden cage completely in same house
b. one normal cage + one hidden cage both completely in same house
c. one cell + one 4-cell combined cage completely in same house
d. one cage + one 4-cell combined cage both completely in the same house
e. two 4-cell combined cages completely in the same house
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
|A.31(H1.0)a 32 1.10|A.32 e 62 1.16|A.52 c 39 0.97|
| | | |
|====================================================================|
|====================================================================|
#28
29. Jigsaw LOL
30. Killer Law of Leftovers
31."45" Rule Simple Single House
a. 3 cell outies hidden cage
b. 3 cell innies hidden cage
c. 3 cells: mix of outies with innies on a single house (but don't see each other)
d. double hidden 3 cell hidden cage
e. locks a candidate
f. IOU
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
|A.06 a 24 1.01|A.07 b 21 0.92|A.18(1.25)a 44 1.16|
|A.22 c 39 0.95|A.27 d 22 0.95|A.29 f 35 0.99|
|A.30 b 24 0.88|A.35 e 16c 0.88|A.39 d 23 1.00|
|A.51 f 65 1.09|A.54 e 60 1.13| |
|====================================================================|
|====================================================================|
#31
32. Cage Blocks
a. killer halves in one cage blocks combinations in another cage
b. killer halves in one cage blocks combinations in a hidden cage/split cage, or vice versa
c. killer halves in a hidden cage blocks combinations in a hidden cage
d. killer halves in one cage partially in a house blocks combinations in another cage
e. killer halves in a hidden cage partially in a house blocks combinations in a cage
f. killer halves in one hidden cage partially in a house blocks combinations in a hidden cage
g. killer thirds in one cage blocks combinations in another cage
h. killer thirds in one cage blocks combinations in a hidden cage
i. killer thirds in one hidden cage blocks combinations in another hidden cage
j. killer thirds in one cage partially in a house blocks combinations in another cage
k. killer thirds in a hidden cage partially in a house blocks combinations in a cage
l. killer thirds in one hidden cage partially in a house blocks combinations in another hidden cage
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
|A.24(H1.25)k 98 1.24|A.33(1.25)h 72 1.17|A36 d 35 0.98|
|A.42 g 38 1.06|A.45 b 31 1.08|A.49 a 90 1.24|
|====================================================================|
|====================================================================|
#32
33. simple Common Peer Elimination; 2 cells that must have a candidate for a house which eliminates that candidate from any common peers
42. Dependent Cage Sums: (AKA Locking Cages)
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|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
| | | |
| | | |
|====================================================================|
|====================================================================|
#42
34."45" Rule Simple Multiple Houses: 3 innies or 3 outies in multiple nonets that are not rectangular (eg n124)
a. 3 innies
b. 3 outies
c. mix of innies with outies of 3 cell in total
d. locks a candidate
e. IOU
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
|A.38 a 62 1.36| | |
| | | |
|====================================================================|
|====================================================================|
#
...invalid permutations in 3-cell hidden cage with possible candidate eliminations (see 116 step 51)
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
| | | |
| | | |
|====================================================================|
|====================================================================|
#3
...2 cells block (not ALS block): permutations in a 3-cell cage restricted by (see A107 step 87)
a. one 2-candidate cell in another house, plus
b. another 2-candidate cell in another house
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
| | | |
| | | |
|====================================================================|
|====================================================================|
#3
38. "45" Rule: Single House:
a. 4 cell innies or 4 cell outies on a single house or multiple house (except nonets around corners)
b. 4 cell for outer 2 columns: r12, etc
c. 4 cell innies on multiple houses (not nonets around corners)
d. 4 cell hidden cage killer halves blocks combinations in a cage in the same house
e. 4 cell hidden cage killer halves blocks combinations in a hidden cage in the same house
f. 4 cell hidden cage killer thirds blocks combination in a cage in the same house
g. 4 cell hidden cage killer thirds blocks combination in a hidden cage in the same house
h. mix of innies with outies of 4 cells around a single house
i. candidate locked from innies with outies on single house
j. candidate locked from innies or outies (not both) in multiple nonets
k. candidate locked from innies with outies in multiple nonets
======================================================================
|A ## Rate step # ALT|A ## Rate step # ALT|A ## Rate step # ALT|
|----------------------+----------------------+----------------------|
|A.16 c 36 1.05|A.26(H1.25)h 94 1.39|A46 h 65 1.24|
|A.47 j 77 1.19|A.48 k 111 1.18| |
|====================================================================|
|====================================================================|
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