Passi risolutivi (35)
Passo 1
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 1 in D3 changed to solution
Passo 2
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 2 in H3 changed to solution
Passo 3
Hidden Singles
valore: 5.3
categoria doc: Getting_Started
1 in F5 is last in row/box
2 in A1 is last in column/box
4 in E3 is last in row
9 in B7 is last in row
9 in D2 is last in row/column/box
Passo 4
Hidden Singles
valore: 4.6
categoria doc: Getting_Started
4 in J2 is last in row/column/box
7 in A2 is last in row/box
9 in H9 is last in row
Passo 5
Hidden Singles
valore: 4.3
categoria doc: Getting_Started
1 in C2 is last in box
7 in H8 is last in row
Passo 6
Naked Pair
valore: 19.9
categoria doc: Naked_Candidates
Naked Pair 1/3 on cells {A7|H7} means
- 3 can be removed from E7
- 1/3 can be removed from J7
Last candidate 8 in E7 changed to solution
Passo 7
Naked Pair
valore: 17.5
categoria doc: Naked_Candidates
Naked Pair 2/3 on cells {G5|G6} means
- 3 can be removed from G2
- 2/3 can be removed from G4
- 2/3 can be removed from G8
- 2/3 can be removed from J4
- 2/3 can be removed from J5
- 2/3 can be removed from J6
Last candidate 1 in G4 changed to solution
Passo 8
Naked Pair
valore: 16.9
categoria doc: Naked_Candidates
Naked Pair 5/6 on cells {G2|J3} means
- 6 can be removed from J1
Passo 9
Hidden Pair
valore: 32.7
categoria doc: Hidden_Candidates
Hidden Pair 4/8 in Row B, on cells {B4|B8}
- removes 3/5 from B4
- removes 3/6 from B8
Passo 10
Pointing Pairs
valore: 48.3
categoria doc: Intersection_Removal
Pair: between Box 6 and Row D:
- 3 can be removed from D4
- 3 can be removed from D5
Passo 11
Pointing Pairs
valore: 47.9
categoria doc: Intersection_Removal
Pair: between Box 5 and Row D:
- 5 can be removed from D8
Passo 12
Pointing Pairs
valore: 47.5
categoria doc: Intersection_Removal
Pair: between Box 4 and Row F:
- 6 can be removed from F6
Passo 13
Pointing Pairs
valore: 47
categoria doc: Intersection_Removal
Triple: between Box 8 and Row J:
- 8 can be removed from J1
Passo 14
Line/Unit Reduction
valore: 61.6
categoria doc: Intersection_Removal
Line/Box Reduction: 7s in box 5 remove the following in the same box:
- 7 can be removed from D4
- 7 can be removed from F6
Passo 15
W-Wing
valore: 76.3
categoria doc: W_Wings
W-Wing (single). Either there is a 3 in B1 or in J9. They are connected through 6 in B3/J3, therefore
- 3 can be removed from J1
Last candidate 1 in J1 changed to solution
Passo 16
Hidden Singles
valore: 2.9
categoria doc: Getting_Started
1 in A8 is last in column
1 in H7 is last in row/box
Passo 17
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 3 in A7 changed to solution
Passo 18
XY-Chain
valore: 219.8
categoria doc: XY_Chains
length=6, chain ends: B3 and F2
This proves 6 is the solution at one or possibly both ends of the chain
-6[B3]+5[B3]-5[J3]+6[J3]-6[J9]+3[J9]-3[D9]+7[D9]-7[D1]+8[D1]-8[F2]+6[F2]
- 6 can be removed from B2
Passo 19
XY-Chain
valore: 217.5
categoria doc: XY_Chains
length=6, chain ends: C8 and E5
This proves 6 is the solution at one or possibly both ends of the chain
-6[C8]+8[C8]-8[B8]+4[B8]-4[B4]+8[B4]-8[J4]+7[J4]-7[E4]+3[E4]-3[E5]+6[E5]
- 6 can be removed from C5
Passo 20
XY-Chain
valore: 212.8
categoria doc: XY_Chains
length=6. This XY-Chain is continuous and one value in each cell must be the solution, so all off-chain candidates can be removed
-8[D1]+7[D1]-7[D9]+3[D9]-3[J9]+6[J9]-6[G8]+5[G8]-5[G2]+6[G2]-6[F2]+8[F2]
- 6 can be removed from J8
- 8 can be removed from F1
Passo 21
3D Medusa
valore: 193.7
categoria doc: 3D_Medusa
(RULE 5): Uncoloured candidate 2 in C6 can see coloured 2 elsewhere and an oppositely coloured 6 in its own cell. It can be removed.
(RULE 5): Uncoloured candidate 2 in D4 can see coloured 2 elsewhere and an oppositely coloured 5 in its own cell. It can be removed.
(RULE 5): Uncoloured candidate 8 in D5 can see coloured 8 elsewhere and an oppositely coloured 5 in its own cell. It can be removed.
Passo 22
Hidden Singles
valore: 2.4
categoria doc: Getting_Started
2 in C4 is last in column
Passo 23
Hidden Singles
valore: 2.3
categoria doc: Getting_Started
3 in E4 is last in column
Passo 24
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 6 in E5 changed to solution
Passo 25
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 7 in E6 changed to solution
Passo 26
Hidden Singles
valore: 2
categoria doc: Getting_Started
7 in J4 is last in row/column/box
Passo 27
XY-Chain
valore: 128.7
categoria doc: XY_Chains
length=4, chain ends: B4 and J5
This proves 8 is the solution at one or possibly both ends of the chain
-8[B4]+4[B4]-4[A4]+5[A4]-5[A5]+9[A5]-9[J5]+8[J5]
- 8 can be removed from C5
Last candidate 3 in C5 changed to solution
Passo 28
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 2 in G5 changed to solution
Passo 29
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 5 in D5 changed to solution
Last candidate 3 in G6 changed to solution
Passo 30
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 9 in A5 changed to solution
Last candidate 8 in D4 changed to solution
Passo 31
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 6 in A6 changed to solution
Last candidate 4 in B4 changed to solution
Last candidate 7 in D1 changed to solution
Last candidate 2 in F6 changed to solution
Last candidate 8 in J5 changed to solution
Passo 32
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 5 in A4 changed to solution
Last candidate 4 in A9 changed to solution
Last candidate 8 in B8 changed to solution
Last candidate 8 in C6 changed to solution
Last candidate 3 in D9 changed to solution
Last candidate 6 in F1 changed to solution
Last candidate 5 in F7 changed to solution
Last candidate 9 in J6 changed to solution
Passo 33
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 3 in B1 changed to solution
Last candidate 6 in C8 changed to solution
Last candidate 2 in D8 changed to solution
Last candidate 8 in F2 changed to solution
Last candidate 4 in F8 changed to solution
Last candidate 7 in F9 changed to solution
Last candidate 2 in J7 changed to solution
Last candidate 6 in J9 changed to solution
Passo 34
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 5 in B2 changed to solution
Last candidate 5 in G8 changed to solution
Last candidate 8 in H1 changed to solution
Last candidate 3 in H2 changed to solution
Last candidate 5 in J3 changed to solution
Passo 35
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 6 in B3 changed to solution
Last candidate 6 in G2 changed to solution
Last candidate 3 in J8 changed to solution