Passi risolutivi (38)
Passo 1
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 4 in F2 changed to solution
Passo 2
Hidden Singles
valore: 5.7
categoria doc: Getting_Started
2 in E5 is last in column/box
3 in A2 is last in column
3 in D3 is last in row/box
4 in H4 is last in column/box
6 in E2 is last in row/box
Passo 3
Hidden Singles
valore: 5.1
categoria doc: Getting_Started
2 in B1 is last in box
3 in B4 is last in column
Passo 4
Hidden Singles
valore: 4.8
categoria doc: Getting_Started
6 in C1 is last in column/box
Passo 5
Hidden Singles
valore: 4.7
categoria doc: Getting_Started
4 in G1 is last in column
Passo 6
Pointing Pairs
valore: 68.1
categoria doc: Intersection_Removal
Triple: between Box 8 and Col 6:
- 7 can be removed from B6
Passo 7
Pointing Pairs
valore: 67.7
categoria doc: Intersection_Removal
Pair: between Box 1 and Col 3:
- 9 can be removed from E3
Passo 8
Pointing Pairs
valore: 67.3
categoria doc: Intersection_Removal
Pair: between Box 5 and Col 6:
- 9 can be removed from B6
Passo 9
Line/Unit Reduction
valore: 88.6
categoria doc: Intersection_Removal
Line/Box Reduction: 4s in box 3 remove the following in the same box:
- 4 can be removed from B7
- 4 can be removed from B8
Passo 10
W-Wing
valore: 110
categoria doc: W_Wings
W-Wing (single). Either there is a 7 in A4 or in E3. They are connected through 1 in F4/F1, therefore
- 7 can be removed from A3
Last candidate 9 in A3 changed to solution
Passo 11
Hidden Singles
valore: 4.2
categoria doc: Getting_Started
9 in B5 is last in row/column/box
Passo 12
3D Medusa
valore: 334.5
categoria doc: 3D_Medusa
(RULE 5): Uncoloured candidate 9 in F7 can see coloured 9 elsewhere and an oppositely coloured 5 in its own cell. It can be removed.
Passo 13
XY-Chain
valore: 350.8
categoria doc: XY_Chains
length=6, chain ends: D6 and F7
This proves 5 is the solution at one or possibly both ends of the chain
-5[D6]+9[D6]-9[D1]+7[D1]-7[E3]+1[E3]-1[F1]+9[F1]-9[F9]+8[F9]-8[F7]+5[F7]
- 5 can be removed from D8
- 5 can be removed from F4
Passo 14
Hidden Singles
valore: 4
categoria doc: Getting_Started
5 in C4 is last in column
5 in D6 is last in row/box
5 in F7 is last in row/box
Passo 15
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 7 in C2 changed to solution
Passo 16
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 4 in C3 changed to solution
Passo 17
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 5 in B3 changed to solution
Passo 18
Hidden Singles
valore: 3.2
categoria doc: Getting_Started
4 in B9 is last in row/column/box
7 in A4 is last in column/box
9 in E6 is last in column/box
Passo 19
Hidden Singles
valore: 2.9
categoria doc: Getting_Started
9 in H7 is last in column
Passo 20
Hidden Pair
valore: 27.2
categoria doc: Hidden_Candidates
Hidden Pair 3/5 in Row G, on cells {G5|G8}
- removes 1/8 from G5
- removes 1/7/8 from G8
Passo 21
Pointing Pairs
valore: 40
categoria doc: Intersection_Removal
Pair: between Box 2 and Col 5:
- 1 can be removed from H5
- 1 can be removed from J5
Passo 22
XYZ Wing
valore: 158.5
categoria doc: XYZ_Wing
XYZ-Wing pattern. Hinge: G9 (1/7/8), wings C9 G7, therefore
- 8 can be removed from H9
Passo 23
XY-Chain
valore: 160.9
categoria doc: XY_Chains
length=4. This XY-Chain is continuous and one value in each cell must be the solution, so all off-chain candidates can be removed
-2[A8]+1[A8]-1[C9]+8[C9]-8[B8]+7[B8]-7[D8]+2[D8]
- 8 can be removed from B7
- 7 can be removed from E8
- 7 can be removed from H8
- 7 can be removed from J8
- 2 can be removed from H8
- 2 can be removed from J8
Passo 24
Y-Wing
valore: 97.9
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: B7 (6/7), wings B6 G7, therefore
- 8 can be removed from G6
Passo 25
Line/Unit Reduction
valore: 47.3
categoria doc: Intersection_Removal
Line/Box Reduction: 8s in box 9 remove the following in the same box:
- 8 can be removed from H8
- 8 can be removed from J7
- 8 can be removed from J8
Passo 26
XY-Chain
valore: 175.4
categoria doc: XY_Chains
length=5, chain ends: C9 and G7
This proves 8 is the solution at one or possibly both ends of the chain
-8[C9]+1[C9]-1[A8]+2[A8]-2[A7]+6[A7]-6[B7]+7[B7]-7[G7]+8[G7]
- 8 can be removed from G9
Passo 27
Hidden Singles
valore: 2.3
categoria doc: Getting_Started
8 in G7 is last in row/box
Passo 28
Y-Wing
valore: 88
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: E8 (4/8), wings B8 E7, therefore
- 7 can be removed from B7
- 7 can be removed from D8
Last candidate 6 in B7 changed to solution
Last candidate 2 in D8 changed to solution
Passo 29
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 2 in A7 changed to solution
Last candidate 1 in A8 changed to solution
Last candidate 8 in B6 changed to solution
Passo 30
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 6 in A5 changed to solution
Last candidate 7 in B8 changed to solution
Last candidate 1 in C5 changed to solution
Last candidate 8 in C9 changed to solution
Passo 31
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 9 in F9 changed to solution
Passo 32
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 7 in D9 changed to solution
Last candidate 1 in F1 changed to solution
Passo 33
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 9 in D1 changed to solution
Last candidate 7 in E3 changed to solution
Last candidate 4 in E7 changed to solution
Last candidate 8 in F4 changed to solution
Last candidate 1 in G9 changed to solution
Last candidate 7 in H1 changed to solution
Passo 34
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 1 in E4 changed to solution
Last candidate 8 in E8 changed to solution
Last candidate 7 in G6 changed to solution
Last candidate 2 in H9 changed to solution
Last candidate 7 in J7 changed to solution
Passo 35
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 5 in H2 changed to solution
Last candidate 1 in J6 changed to solution
Passo 36
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 6 in H6 changed to solution
Last candidate 3 in H8 changed to solution
Last candidate 2 in J2 changed to solution
Last candidate 8 in J3 changed to solution
Passo 37
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 5 in G8 changed to solution
Last candidate 1 in H3 changed to solution
Last candidate 8 in H5 changed to solution
Last candidate 5 in J5 changed to solution
Passo 38
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 3 in G5 changed to solution
Last candidate 4 in J8 changed to solution