Passi risolutivi (40)
Passo 1
Hidden Singles
valore: 6
categoria doc: Getting_Started
5 in C9 is last in row
5 in H1 is last in row/box
7 in E3 is last in column
Passo 2
Hidden Singles
valore: 5.4
categoria doc: Getting_Started
5 in E7 is last in column/box
7 in C8 is last in row/box
7 in D5 is last in row/column/box
Passo 3
Hidden Singles
valore: 5.1
categoria doc: Getting_Started
5 in D2 is last in column/box
8 in H8 is last in column
Passo 4
Hidden Pair
valore: 48.1
categoria doc: Hidden_Candidates
Hidden Pair 2/9 in Col 2, on cells {B2|E2}
- removes 1/6/8 from B2
- removes 6/8 from E2
Passo 5
Hidden Singles
valore: 4.7
categoria doc: Getting_Started
8 in E1 is last in row
Passo 6
Hidden Singles
valore: 4.5
categoria doc: Getting_Started
8 in J2 is last in row/box
Passo 7
Naked Singles
valore: 2.1
categoria doc: Getting_Started
Last candidate 1 in C2 changed to solution
Passo 8
Naked Singles
valore: 2
categoria doc: Getting_Started
Last candidate 6 in G2 changed to solution
Passo 9
Naked Singles
valore: 1.9
categoria doc: Getting_Started
Last candidate 4 in H3 changed to solution
Passo 10
Pointing Pairs
valore: 56.9
categoria doc: Intersection_Removal
Triple: between Box 6 and Col 9:
- 2 can be removed from G9
- 2 can be removed from H9
Passo 11
Pointing Pairs
valore: 56.5
categoria doc: Intersection_Removal
Pair: between Box 2 and Row A:
- 3 can be removed from A1
Passo 12
Pointing Pairs
valore: 55.7
categoria doc: Intersection_Removal
Pair: between Box 6 and Col 9:
- 3 can be removed from G9
- 3 can be removed from J9
Passo 13
Hidden Pair
valore: 36.6
categoria doc: Hidden_Candidates
Hidden Pair 2/3 in Row G, on cells {G4|G7}
- removes 4 from G4
- removes 1 from G7
Passo 14
Pointing Pairs
valore: 54.5
categoria doc: Intersection_Removal
Triple: between Box 8 and Row J:
- 4 can be removed from J9
Passo 15
Pointing Pairs
valore: 53.2
categoria doc: Intersection_Removal
Pair: between Box 9 and Col 9:
- 6 can be removed from D9
- 6 can be removed from E9
- 6 can be removed from F9
Passo 16
Unique Rectangle 2+
valore: 174.7
categoria doc: Unique_Rectangles
Uniqueness Type 4 (Col) removing 1 from roof because of G1,J1,G9,J9
Passo 17
WXYZ Wing
valore: 341.1
categoria doc: WXYZ_Wing
WXYZ Wing Type 1: The four cells {B3,A1,B7,B9} contain in total 1/6/8/9 with the hinge on B3.
Non-Restricted candidate 9 determines the 'wing' cells (in yellow) and one of those 9s must be true. Therefore...
- 9 can be removed from A9
- 9 can be removed from B1
- 9 can be removed from B2
Last candidate 2 in B2 changed to solution
Passo 18
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 9 in E2 changed to solution
Passo 19
Hidden Singles
valore: 3.2
categoria doc: Getting_Started
2 in E9 is last in row
9 in A1 is last in row/column/box
Passo 20
Pointing Pairs
valore: 45.4
categoria doc: Intersection_Removal
Pair: between Box 1 and Row B:
- 6 can be removed from B4
- 6 can be removed from B5
Passo 21
Naked Triple
valore: 57.2
categoria doc: Naked_Candidates
Naked Triple 2/4/6 on cells {D4|D6|E5} means
- 2 can be removed from D1
- 2/6 can be removed from F4
- 6 can be removed from F5
- 2/6 can be removed from F6
Passo 22
Hidden Singles
valore: 2.8
categoria doc: Getting_Started
2 in F1 is last in row/column/box
Passo 23
XYZ Wing
valore: 165.1
categoria doc: XYZ_Wing
XYZ-Wing pattern. Hinge: B4 (4/5/8), wings C6 F4, therefore
- 8 can be removed from A4
Passo 24
Hidden Pair
valore: 27.2
categoria doc: Hidden_Candidates
Hidden Pair 5/8 in Col 4, on cells {B4|F4}
- removes 4 from B4
Passo 25
XY-Chain
valore: 229.2
categoria doc: XY_Chains
length=6, chain ends: A9 and C6
This proves 8 is the solution at one or possibly both ends of the chain
-8[A9]+1[A9]-1[F9]+3[F9]-3[F3]+6[F3]-6[D1]+3[D1]-3[C1]+4[C1]-4[C6]+8[C6]
- 8 can be removed from A6
Passo 26
Hidden Singles
valore: 2.7
categoria doc: Getting_Started
8 in A9 is last in row
Passo 27
Naked Pair
valore: 12.9
categoria doc: Naked_Candidates
Naked Pair 1/9 on cells {B7|B9} means
- 1 can be removed from B5
Passo 28
XY-Chain
valore: 217.5
categoria doc: XY_Chains
length=6, chain ends: C6 and D9
This proves 4 is the solution at one or possibly both ends of the chain
-4[C6]+8[C6]-8[B4]+5[B4]-5[B5]+4[B5]-4[B1]+6[B1]-6[D1]+3[D1]-3[D9]+4[D9]
- 4 can be removed from D6
Passo 29
XY-Chain
valore: 212.8
categoria doc: XY_Chains
length=6, chain ends: E5 and D1
This proves 6 is the solution at one or possibly both ends of the chain
-6[E5]+4[E5]-4[B5]+5[B5]-5[B4]+8[B4]-8[C6]+8[C3]-3[C3]+3[F3]-6[F3]+6[D1]
- 6 can be removed from D4
- 6 can be removed from D6
Last candidate 2 in D6 changed to solution
Passo 30
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 4 in D4 changed to solution
Passo 31
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 3 in D9 changed to solution
Last candidate 6 in E5 changed to solution
Passo 32
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 6 in D1 changed to solution
Last candidate 4 in E8 changed to solution
Last candidate 1 in F9 changed to solution
Passo 33
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 4 in B1 changed to solution
Last candidate 9 in B9 changed to solution
Last candidate 3 in F3 changed to solution
Last candidate 6 in F8 changed to solution
Last candidate 1 in G8 changed to solution
Passo 34
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 5 in B5 changed to solution
Last candidate 1 in B7 changed to solution
Last candidate 3 in C1 changed to solution
Last candidate 8 in C3 changed to solution
Last candidate 7 in G1 changed to solution
Last candidate 6 in H9 changed to solution
Passo 35
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 6 in B3 changed to solution
Last candidate 8 in B4 changed to solution
Last candidate 4 in C6 changed to solution
Last candidate 9 in F5 changed to solution
Last candidate 4 in G9 changed to solution
Last candidate 1 in J1 changed to solution
Last candidate 7 in J9 changed to solution
Passo 36
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 5 in F4 changed to solution
Last candidate 8 in F6 changed to solution
Last candidate 1 in H5 changed to solution
Passo 37
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 3 in A5 changed to solution
Last candidate 9 in H6 changed to solution
Passo 38
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 6 in A4 changed to solution
Last candidate 2 in H7 changed to solution
Last candidate 4 in J5 changed to solution
Last candidate 6 in J6 changed to solution
Passo 39
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 1 in A6 changed to solution
Last candidate 3 in G7 changed to solution
Last candidate 3 in J4 changed to solution
Passo 40
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 2 in G4 changed to solution
Last candidate 9 in J7 changed to solution