Passi risolutivi (29)
Passo 1
Hidden Singles
valore: 5.8
categoria doc: Getting_Started
7 in F4 is last in row/box
8 in A4 is last in box
8 in G5 is last in column
Passo 2
Hidden Singles
valore: 5.3
categoria doc: Getting_Started
3 in C5 is last in column
3 in G6 is last in box
5 in F1 is last in row
Passo 3
Hidden Singles
valore: 4.9
categoria doc: Getting_Started
1 in F5 is last in row
Passo 4
Naked Pair
valore: 23.8
categoria doc: Naked_Candidates
Naked Pair 2/6 on cells {D5|E5} means
- 6 can be removed from D6
- 6 can be removed from E4
- 6 can be removed from E6
Passo 5
Naked Pair
valore: 23
categoria doc: Naked_Candidates
Naked Pair 2/9 on cells {F8|F9} means
- 2/9 can be removed from D9
- 2/9 can be removed from E7
- 2/9 can be removed from E8
Passo 6
Hidden Pair
valore: 44.6
categoria doc: Hidden_Candidates
Hidden Pair 3/5 in Row H, on cells {H2|H3}
- removes 1/8 from H2
- removes 1/7/8 from H3
Passo 7
Naked Pair
valore: 22
categoria doc: Naked_Candidates
Naked Pair 3/5 on cells {H2|H3} means
- 5 can be removed from J2
- 5 can be removed from J3
Passo 8
Pointing Pairs
valore: 65.2
categoria doc: Intersection_Removal
Pair: between Box 2 and Row C:
- 6 can be removed from C8
- 6 can be removed from C9
Passo 9
Pointing Pairs
valore: 64.4
categoria doc: Intersection_Removal
Pair: between Box 7 and Col 1:
- 7 can be removed from A1
- 7 can be removed from B1
Passo 10
Pointing Pairs
valore: 63.5
categoria doc: Intersection_Removal
Pair: between Box 7 and Row J:
- 8 can be removed from J7
- 8 can be removed from J9
Passo 11
3D Medusa
valore: 327.9
categoria doc: 3D_Medusa
(RULE 6): Both candidates 4/9 in cell B1 (which are not coloured) can see the same colour elsewhere. If that colour were true it would leave B1 empty. So all candidates of that colour can be removed.
Last candidate 2 in D1 changed to solution
Last candidate 9 in D6 changed to solution
Passo 12
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 7 in A6 changed to solution
Last candidate 8 in D3 changed to solution
Last candidate 6 in D5 changed to solution
Last candidate 5 in E4 changed to solution
Passo 13
Naked Singles
valore: 1.5
categoria doc: Getting_Started
Last candidate 6 in C6 changed to solution
Last candidate 4 in D9 changed to solution
Last candidate 1 in E3 changed to solution
Last candidate 2 in E5 changed to solution
Last candidate 4 in E6 changed to solution
Passo 14
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 9 in C4 changed to solution
Last candidate 9 in E2 changed to solution
Last candidate 5 in J6 changed to solution
Passo 15
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 3 in B2 changed to solution
Passo 16
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 5 in H2 changed to solution
Passo 17
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 3 in H3 changed to solution
Passo 18
Hidden Singles
valore: 2.3
categoria doc: Getting_Started
3 in A9 is last in row/column/box
4 in G8 is last in row/column/box
8 in J2 is last in row/column/box
Passo 19
Naked Pair
valore: 11
categoria doc: Naked_Candidates
Naked Pair 1/2 on cells {C2|C9} means
- 2 can be removed from C3
- 2 can be removed from C8
Passo 20
Rectangle Elimination
valore: 54.3
categoria doc: Rectangle_Elimination
If +1[G7] then -1[A7] forcing +1[A1] which removes all 1s from Box 7, so G7 cannot be 1
Passo 21
Rectangle Elimination
valore: 53.6
categoria doc: Rectangle_Elimination
If +2[A7] then -2[A3] forcing +2[J3] which removes all 2s from Box 9, so A7 cannot be 2
Passo 22
Naked Pair
valore: 10.6
categoria doc: Naked_Candidates
Naked Pair 1/9 on cells {A1|A7} means
- 9 can be removed from A8
Passo 23
Line/Unit Reduction
valore: 41.8
categoria doc: Intersection_Removal
Line/Box Reduction: 2s in box 9 remove the following in the same box:
- 2 can be removed from J9
Passo 24
Y-Wing
valore: 82.5
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: C9 (1/2), wings A7 F9, therefore
- 9 can be removed from B9
Passo 25
X-Cycle
valore: 152.7
categoria doc: X_Cycles
X-CYCLE on 1 (Discontinuous Alternating Nice Loop, length 8):
+1[J7]-1[J4]+1[G4]-1[G2]+1[C2]-1[A1]+1[A7]-1[J7]
- Contradiction: When J7 is set to 1 the chain implies it cannot be 1 - it can be removed
Passo 26
3D Medusa
valore: 125.4
categoria doc: 3D_Medusa
(RULE 1): Two candidates in J7 have the same color - all yellow coloured candidates can be removed
Last candidate 1 in A1 changed to solution
Last candidate 5 in A3 changed to solution
Last candidate 9 in A7 changed to solution
Last candidate 2 in A8 changed to solution
Last candidate 9 in B1 changed to solution
Last candidate 4 in B3 changed to solution
Last candidate 2 in C2 changed to solution
Last candidate 7 in C3 changed to solution
Last candidate 5 in C8 changed to solution
Last candidate 1 in C9 changed to solution
Last candidate 9 in F8 changed to solution
Last candidate 2 in F9 changed to solution
Last candidate 1 in G2 changed to solution
Last candidate 2 in J3 changed to solution
Last candidate 6 in J7 changed to solution
Passo 27
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 8 in E7 changed to solution
Last candidate 6 in G4 changed to solution
Last candidate 8 in H9 changed to solution
Last candidate 4 in J1 changed to solution
Last candidate 1 in J4 changed to solution
Last candidate 9 in J9 changed to solution
Passo 28
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 7 in B7 changed to solution
Last candidate 6 in B9 changed to solution
Last candidate 6 in E8 changed to solution
Last candidate 7 in G1 changed to solution
Last candidate 7 in H8 changed to solution
Passo 29
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 8 in B8 changed to solution
Last candidate 2 in G7 changed to solution
Last candidate 6 in H1 changed to solution
Last candidate 1 in H7 changed to solution