Passi risolutivi (33)
Passo 1
Hidden Singles
valore: 5.5
categoria doc: Getting_Started
1 in F6 is last in box
4 in C5 is last in column/box
5 in G2 is last in column/box
5 in J6 is last in row
6 in H9 is last in row/box
Passo 2
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 2 in E6 changed to solution
Passo 3
Naked Singles
valore: 2.4
categoria doc: Getting_Started
Last candidate 7 in E5 changed to solution
Passo 4
Naked Singles
valore: 2.3
categoria doc: Getting_Started
Last candidate 5 in E4 changed to solution
Passo 5
Naked Singles
valore: 2.2
categoria doc: Getting_Started
Last candidate 8 in D4 changed to solution
Passo 6
Hidden Singles
valore: 4.3
categoria doc: Getting_Started
2 in A4 is last in box
5 in C9 is last in column
5 in D8 is last in row/box
6 in B5 is last in column/box
Passo 7
Hidden Singles
valore: 4
categoria doc: Getting_Started
1 in D7 is last in row/box
Passo 8
Hidden Singles
valore: 3.9
categoria doc: Getting_Started
6 in E7 is last in column/box
Passo 9
Pointing Pairs
valore: 56.5
categoria doc: Intersection_Removal
Pair: between Box 6 and Row F:
- 2 can be removed from F2
- 2 can be removed from F3
Passo 10
Naked Pair
valore: 18.2
categoria doc: Naked_Candidates
Naked Pair 3/8 on cells {A3|F3} means
- 3/8 can be removed from C3
- 3 can be removed from E3
- 3/8 can be removed from G3
Last candidate 9 in E3 changed to solution
Passo 11
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 7 in G3 changed to solution
Passo 12
Hidden Singles
valore: 3.2
categoria doc: Getting_Started
7 in H4 is last in column/box
Passo 13
Hidden Pair
valore: 31.4
categoria doc: Hidden_Candidates
Hidden Pair 3/9 in Box 8, on cells {G4|H6}
- removes 8 from H6
Passo 14
Rectangle Elimination
valore: 77.7
categoria doc: Rectangle_Elimination
If +3[A9] then -3[A3] forcing +3[F3] which removes all 3s from Box 6, so A9 cannot be 3
Passo 15
Line/Unit Reduction
valore: 60
categoria doc: Intersection_Removal
Line/Box Reduction: 3s in box 1 remove the following in the same box:
- 3 can be removed from B1
- 3 can be removed from B2
- 3 can be removed from C1
- 3 can be removed from C2
Passo 16
XYZ Wing
valore: 178.3
categoria doc: XYZ_Wing
XYZ-Wing pattern. Hinge: G7 (2/3/8), wings F7 J9, therefore
- 3 can be removed from J7
Passo 17
Hidden Unique Rectangle
valore: 294.4
categoria doc: Hidden_Unique_Rectangles
Type 2b: removing 3 at A2 because of AF23 and one strong link on 8 between F3 and F2
Passo 18
X-Cycle
valore: 218.7
categoria doc: X_Cycles
X-CYCLE on 3 (Discontinuous Alternating Nice Loop, length 8):
+3[G9]-3[G4]+3[H6]-3[H2]+3[F2]-3[E1]+3[E9]-3[G9]
- Contradiction: When G9 is set to 3 the chain implies it cannot be 3 - it can be removed
Passo 19
3D Medusa
valore: 231.1
categoria doc: 3D_Medusa
(RULE 4): Uncoloured candidate 8 in A9 can see two different coloured candidates of 8 elsewhere.
Last candidate 1 in A9 changed to solution
Passo 20
Hidden Singles
valore: 2.6
categoria doc: Getting_Started
1 in B1 is last in row/column/box
8 in C7 is last in box
Passo 21
Hidden Singles
valore: 2.4
categoria doc: Getting_Started
7 in J7 is last in column
8 in B6 is last in column/box
Passo 22
Naked Pair
valore: 10.7
categoria doc: Naked_Candidates
Naked Pair 3/7 on cells {B8|C8} means
- 3 can be removed from F8
- 3 can be removed from G8
- 3 can be removed from H8
- 3 can be removed from J8
Passo 23
Hidden Pair
valore: 21.2
categoria doc: Hidden_Candidates
Hidden Pair 6/7 in Col 1, on cells {C1|D1}
- removes 9 from C1
Passo 24
Pointing Pairs
valore: 31.4
categoria doc: Intersection_Removal
Pair: between Box 1 and Col 2:
- 9 can be removed from H2
Passo 25
X-Wing
valore: 61.1
categoria doc: X_Wing_Strategy
(Col->Row) 3 taken off A1, based on EJ19
(Col->Row) 3 taken off G1, based on EJ19
Passo 26
Hidden Singles
valore: 2
categoria doc: Getting_Started
3 in A3 is last in row/box
Passo 27
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 8 in F3 changed to solution
Passo 28
Y-Wing
valore: 74.8
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: G1 (8/9), wings G4 H2, therefore
- 3 can be removed from H6
Last candidate 9 in H6 changed to solution
Passo 29
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 3 in C6 changed to solution
Last candidate 3 in G4 changed to solution
Last candidate 1 in H8 changed to solution
Passo 30
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 9 in B4 changed to solution
Last candidate 7 in C8 changed to solution
Last candidate 2 in G7 changed to solution
Last candidate 8 in H5 changed to solution
Passo 31
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 7 in B2 changed to solution
Last candidate 3 in B8 changed to solution
Last candidate 6 in C1 changed to solution
Last candidate 3 in F7 changed to solution
Last candidate 1 in G5 changed to solution
Last candidate 3 in H2 changed to solution
Last candidate 2 in J5 changed to solution
Last candidate 9 in J8 changed to solution
Passo 32
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 2 in C3 changed to solution
Last candidate 7 in D1 changed to solution
Last candidate 2 in D2 changed to solution
Last candidate 4 in E9 changed to solution
Last candidate 4 in F2 changed to solution
Last candidate 4 in G8 changed to solution
Last candidate 8 in J1 changed to solution
Passo 33
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 4 in A1 changed to solution
Last candidate 8 in A2 changed to solution
Last candidate 9 in C2 changed to solution
Last candidate 6 in D3 changed to solution
Last candidate 3 in E1 changed to solution
Last candidate 2 in F8 changed to solution
Last candidate 9 in G1 changed to solution
Last candidate 8 in G9 changed to solution
Last candidate 3 in J9 changed to solution