Passi risolutivi (36)
Passo 1
Hidden Singles
valore: 6
categoria doc: Getting_Started
3 in H5 is last in box
7 in A4 is last in box
Passo 2
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 9 in A8 changed to solution
Passo 3
Hidden Singles
valore: 5.2
categoria doc: Getting_Started
7 in C8 is last in column
9 in B5 is last in box
Passo 4
Naked Pair
valore: 24.1
categoria doc: Naked_Candidates
Naked Pair 2/6 on cells {B6|C6} means
- 6 can be removed from D6
- 2/6 can be removed from E6
- 2 can be removed from F6
- 2/6 can be removed from J6
Last candidate 5 in J6 changed to solution
Passo 5
Naked Singles
valore: 2.2
categoria doc: Getting_Started
Last candidate 1 in D6 changed to solution
Last candidate 2 in G4 changed to solution
Passo 6
Naked Singles
valore: 2.1
categoria doc: Getting_Started
Last candidate 6 in H4 changed to solution
Passo 7
Hidden Singles
valore: 4
categoria doc: Getting_Started
1 in E3 is last in row/box
5 in D4 is last in row/column/box
Passo 8
Pointing Pairs
valore: 57.8
categoria doc: Intersection_Removal
Pair: between Box 4 and Col 2:
- 7 can be removed from G2
- 7 can be removed from J2
Passo 9
Pointing Pairs
valore: 56.9
categoria doc: Intersection_Removal
Pair: between Box 6 and Row E:
- 8 can be removed from E2
- 8 can be removed from E4
Last candidate 9 in E4 changed to solution
Passo 10
Naked Singles
valore: 1.8
categoria doc: Getting_Started
Last candidate 8 in F4 changed to solution
Passo 11
Pointing Pairs
valore: 53.6
categoria doc: Intersection_Removal
Pair: between Box 6 and Col 9:
- 9 can be removed from J9
Last candidate 2 in J9 changed to solution
Passo 12
Naked Triple
valore: 64.4
categoria doc: Naked_Candidates
Naked Triple 4/6/9 on cells {C9|D9|F9} means
- 6 can be removed from A9
- 4/6 can be removed from B9
- 4 can be removed from G9
Passo 13
3D Medusa
valore: 255.3
categoria doc: 3D_Medusa
(RULE 5): Uncoloured candidate 3 in F2 can see coloured 3 elsewhere and an oppositely coloured 7 in its own cell. It can be removed.
Passo 14
WXYZ Wing
valore: 310.9
categoria doc: WXYZ_Wing
WXYZ Wing Type 1: The four cells {G9,G1,G2,H8} contain in total 1/3/4/5 with the hinge on G9.
Non-Restricted candidate 4 determines the 'wing' cells (in yellow) and one of those 4s must be true. Therefore...
- 4 can be removed from G7
- 4 can be removed from H1
- 4 can be removed from H2
Passo 15
Aligned Pair Exclusion
valore: 427.5
categoria doc: Aligned_Pair_Exclusion
Some solution combinations in the two gray cells would empty at least one of the coloured cells. Removing those combinations create eliminations in the gray cells.
Pair A1 / C1 reduced from 2/3/6->2/3/6 and 2/4/6/8/9->2/4/6
- Combinations of 6/8/9 found in ALS {D1,J1}
- Combinations of 2/3/8/9 found in ALS {A3,B3,C3}
Passo 16
Hidden Singles
valore: 3
categoria doc: Getting_Started
9 in C3 is last in row/box
Passo 17
Hidden Singles
valore: 2.8
categoria doc: Getting_Started
8 in C7 is last in row
Passo 18
Hidden Singles
valore: 2.7
categoria doc: Getting_Started
8 in E8 is last in row/column/box
Passo 19
XY-Chain
valore: 193.9
categoria doc: XY_Chains
length=5, chain ends: A3 and B9
This proves 3 is the solution at one or possibly both ends of the chain
-3[A3]+2[A3]-2[H3]+5[H3]-5[H8]+4[H8]-4[B8]+5[B8]-5[B9]+3[B9]
- 3 can be removed from A9
- 3 can be removed from B2
- 3 can be removed from B3
Last candidate 1 in A9 changed to solution
Passo 20
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 5 in G9 changed to solution
Passo 21
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 3 in B9 changed to solution
Last candidate 4 in H8 changed to solution
Passo 22
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 5 in B8 changed to solution
Passo 23
Hidden Singles
valore: 2.2
categoria doc: Getting_Started
5 in H3 is last in row/column/box
Passo 24
Line/Unit Reduction
valore: 42.4
categoria doc: Intersection_Removal
Line/Box Reduction: 2s in box 1 remove the following in the same box:
- 2 can be removed from A1
- 2 can be removed from B2
- 2 can be removed from C1
Passo 25
Hidden Singles
valore: 2.1
categoria doc: Getting_Started
2 in C6 is last in row
Passo 26
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 6 in B6 changed to solution
Passo 27
Hidden Singles
valore: 1.9
categoria doc: Getting_Started
6 in J2 is last in column
Passo 28
Naked Pair
valore: 8.9
categoria doc: Naked_Candidates
Naked Pair 8/9 on cells {D1|J1} means
- 9 can be removed from F1
- 9 can be removed from H1
Passo 29
Naked Pair
valore: 8.8
categoria doc: Naked_Candidates
Naked Pair 2/3 on cells {E2|F1} means
- 2 can be removed from F2
Passo 30
XY-Chain
valore: 112.7
categoria doc: XY_Chains
length=4, chain ends: A1 and E7
This proves 6 is the solution at one or possibly both ends of the chain
-6[A1]+3[A1]-3[F1]+2[F1]-2[E2]+2[E5]-6[E5]+6[E7]
- 6 can be removed from A7
Last candidate 2 in A7 changed to solution
Passo 31
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 3 in A3 changed to solution
Last candidate 4 in B7 changed to solution
Passo 32
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 6 in A1 changed to solution
Last candidate 8 in B2 changed to solution
Last candidate 6 in C9 changed to solution
Last candidate 6 in E7 changed to solution
Last candidate 7 in G3 changed to solution
Passo 33
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 2 in B3 changed to solution
Last candidate 4 in C1 changed to solution
Last candidate 9 in D9 changed to solution
Last candidate 2 in E5 changed to solution
Last candidate 1 in G7 changed to solution
Last candidate 8 in J3 changed to solution
Passo 34
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 8 in D1 changed to solution
Last candidate 7 in D2 changed to solution
Last candidate 3 in E2 changed to solution
Last candidate 7 in F5 changed to solution
Last candidate 4 in F9 changed to solution
Last candidate 3 in G1 changed to solution
Last candidate 9 in H7 changed to solution
Last candidate 9 in J1 changed to solution
Passo 35
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 6 in D5 changed to solution
Last candidate 4 in E6 changed to solution
Last candidate 2 in F1 changed to solution
Last candidate 9 in F2 changed to solution
Last candidate 3 in F6 changed to solution
Last candidate 4 in G2 changed to solution
Last candidate 2 in H2 changed to solution
Last candidate 7 in J7 changed to solution
Passo 36
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 1 in H1 changed to solution