Passi risolutivi (34)
Passo 1
Hidden Singles
valore: 5.6
categoria doc: Getting_Started
2 in C8 is last in row/column/box
4 in C2 is last in column/box
5 in J9 is last in column
Passo 2
Hidden Singles
valore: 5.1
categoria doc: Getting_Started
4 in G5 is last in column
5 in B8 is last in column/box
5 in G3 is last in row/box
9 in C3 is last in row/box
Passo 3
Hidden Singles
valore: 4.5
categoria doc: Getting_Started
4 in J7 is last in row/column/box
5 in C5 is last in column
7 in H3 is last in box
Passo 4
Hidden Singles
valore: 4.2
categoria doc: Getting_Started
2 in H4 is last in row
Passo 5
Hidden Singles
valore: 4
categoria doc: Getting_Started
3 in H2 is last in row
Passo 6
Naked Pair
valore: 19.1
categoria doc: Naked_Candidates
Naked Pair 3/6 on cells {A3|B3} means
- 3 can be removed from A1
- 3 can be removed from B1
- 6 can be removed from E3
Passo 7
Naked Pair
valore: 19
categoria doc: Naked_Candidates
Naked Pair 7/8 on cells {A1|B1} means
- 8 can be removed from J1
Passo 8
Pointing Pairs
valore: 56.5
categoria doc: Intersection_Removal
Pair: between Box 6 and Col 9:
- 3 can be removed from A9
Passo 9
Pointing Pairs
valore: 56.1
categoria doc: Intersection_Removal
Pair: between Box 9 and Row H:
- 6 can be removed from H5
Last candidate 8 in H5 changed to solution
Passo 10
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 6 in B5 changed to solution
Passo 11
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 3 in B3 changed to solution
Passo 12
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 6 in A3 changed to solution
Passo 13
Hidden Singles
valore: 3
categoria doc: Getting_Started
6 in C7 is last in row/box
8 in J2 is last in row
Passo 14
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 9 in H7 changed to solution
Passo 15
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 6 in H9 changed to solution
Passo 16
Hidden Singles
valore: 2.6
categoria doc: Getting_Started
3 in A7 is last in column/box
Passo 17
Naked Pair
valore: 12.2
categoria doc: Naked_Candidates
Naked Pair 3/7 on cells {C4|C6} means
- 7 can be removed from A4
- 7 can be removed from A6
- 7 can be removed from B6
Passo 18
Line/Unit Reduction
valore: 46.8
categoria doc: Intersection_Removal
Line/Box Reduction: 6s in box 5 remove the following in the same box:
- 6 can be removed from D4
- 6 can be removed from D6
- 6 can be removed from F4
- 6 can be removed from F6
Passo 19
XYZ Wing
valore: 138.7
categoria doc: XYZ_Wing
XYZ-Wing pattern. Hinge: D8 (6/7/8), wings D6 F8, therefore
- 7 can be removed from D9
Passo 20
XY-Chain
valore: 171.3
categoria doc: XY_Chains
length=5, chain ends: C4 and F8
This proves 7 is the solution at one or possibly both ends of the chain
-7[C4]+3[C4]-3[G4]+1[G4]-1[G2]+9[G2]-9[F2]+6[F2]-6[F8]+7[F8]
- 7 can be removed from F4
Last candidate 4 in F4 changed to solution
Passo 21
Hidden Singles
valore: 2.1
categoria doc: Getting_Started
4 in A6 is last in row/column/box
Passo 22
W-Wing
valore: 52.3
categoria doc: W_Wings
W-Wing (single). Either there is a 8 in A4 or in E7. They are connected through 1 in A9/B7, therefore
- 8 can be removed from E4
Passo 23
X-Cycle
valore: 154.7
categoria doc: X_Cycles
X-CYCLE Rule 3 (Discontinuous Alternating Nice Loop, length 8):
+1[J4]-1[J3]+1[G2]-1[D2]+1[D9]-1[A9]+1[A4]-1[J4]
- Contradiction: When J4 is set to 1 the chain implies it cannot be 1 - it can be removed
Last candidate 6 in J4 changed to solution
Passo 24
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 5 in E4 changed to solution
Passo 25
Hidden Singles
valore: 1.8
categoria doc: Getting_Started
5 in D1 is last in row/column/box
6 in E6 is last in row/column/box
Passo 26
Hidden Singles
valore: 1.6
categoria doc: Getting_Started
2 in F6 is last in column/box
3 in D9 is last in row
3 in F1 is last in column/box
8 in E7 is last in row
Passo 27
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 7 in G7 changed to solution
Passo 28
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 1 in B7 changed to solution
Last candidate 8 in G8 changed to solution
Passo 29
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 7 in A9 changed to solution
Last candidate 8 in B6 changed to solution
Passo 30
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 8 in A1 changed to solution
Last candidate 1 in A4 changed to solution
Last candidate 7 in B1 changed to solution
Last candidate 7 in D6 changed to solution
Last candidate 9 in F9 changed to solution
Passo 31
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 3 in C6 changed to solution
Last candidate 8 in D4 changed to solution
Last candidate 6 in D8 changed to solution
Last candidate 1 in E9 changed to solution
Last candidate 6 in F2 changed to solution
Last candidate 3 in G4 changed to solution
Passo 32
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 7 in C4 changed to solution
Last candidate 1 in D2 changed to solution
Last candidate 2 in E3 changed to solution
Last candidate 7 in F8 changed to solution
Passo 33
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 9 in E1 changed to solution
Last candidate 9 in G2 changed to solution
Last candidate 1 in J3 changed to solution
Passo 34
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 1 in G6 changed to solution
Last candidate 2 in J1 changed to solution
Last candidate 9 in J6 changed to solution