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cases:
SN
1:12
Use the corner commutator or the algs below to solve CP.
Divide the probability by 12 to get the odds for pure CP.
3-Cycles / A-Permutantions
A1 +
1:144
R2' F2 (R2' bR' R2) F2' (R2' bR R')
9
15
y
R' U' R F' L' F R' F' L F U R
12
12
A1 -
1:144
(R bR' R2) F2 (R2' bR R2) F2' R2
9
15
y
R' U' F' L' F R F' L F R' U R
12
12
A2 +
1:144
bR' R' U L U' R' U L' U' R2 bR
11
12
A2 -
1:144
bR' R2' U L U' R U L' U' R bR
11
12
2+2 Swaps / E-Permutations
E1
1:144
(R- U' R' U L U' R U) xy' (R bR R' F R bR' R' F')
16
16
y'
(R' U' R') z' (R' U L' U') (R U L U') (R' U L U') (R U2)
16
17
E2
1:144
(F R' F' R+ U bR U' R-) y' (R bR R' F R bR' R' F)
16
16
F:U
(U L' U') R (U L U') R' (U L U') R (U L' U') R'
16
16
E3
1:144
y2
(bR' R' F R bR R' F' R)(F R' F' R+ U bR U' R-)
16
16
(R' L') U2 L U R U (y) (R L) U2' R' U' L'
13
15
5-Cycles
Q +
1:144
L2 U2 L2' U L2 U' L2' U L2 U' L2' U L2 U2 L2'
15
25
Q -
1:144
R2' U2' R2 U' R2' U R2 U' R2' U R2 U' R2' U2' R2
15
25
Q2 +
1:144
(R2' U2' R2 U' R2' U2' R2) (R U R' U' R' F R2 U' R' U' R U R' F')
20
27
Q2 -
1:144
(L2 U2 L2' U L2 U2 L2') (L' U' L U L F' L2 U L U L' U' L F)
20
27
Q = PS++/-- x3; Q2 = PS++/-- plus TH++/--
O +
1:720
(R2' U' R2 F2 R2' F2') U' (F2 R2 F2' R2' U2 R2)
13
24
O -
1:720
(R2' U2' R2 F2 R2' F2') U (F2 R2 F2' R2' U R2)
13
24
O2 + / Star +
1:720
(R2 U2' R2' F2' U' F2) U' (R2 U' R2' F2' U2' F2)
13
23
O2 - / Star -
1:720
(F2' U2 F2 R2 U R2') U (F2' U F2 R2 U2 R2')
13
23
Page checked & updated 12/jun/2013.