Passi risolutivi (37)
Passo 1
Hidden Singles
valore: 6.1
categoria doc: Getting_Started
7 in B2 is last in box
8 in C9 is last in row/box
Passo 2
Hidden Singles
valore: 5.9
categoria doc: Getting_Started
4 in A9 is last in column/box
Passo 3
Hidden Pair
valore: 55.8
categoria doc: Hidden_Candidates
Hidden Pair 5/9 in Box 6, on cells {E8|F7}
- removes 1/2/3/6 from E8
- removes 2/3 from F7
Passo 4
Pointing Pairs
valore: 83.4
categoria doc: Intersection_Removal
Triple: between Box 3 and Col 8:
- 1 can be removed from D8
Passo 5
Pointing Pairs
valore: 82.5
categoria doc: Intersection_Removal
Pair: between Box 6 and Row D:
- 3 can be removed from D1
- 3 can be removed from D4
Passo 6
Line/Unit Reduction
valore: 108.9
categoria doc: Intersection_Removal
Line/Box Reduction: 2s in box 6 remove the following in the same box:
- 2 can be removed from D7
- 2 can be removed from D8
Passo 7
Line/Unit Reduction
valore: 106.7
categoria doc: Intersection_Removal
Line/Box Reduction: 7s in box 8 remove the following in the same box:
- 7 can be removed from G5
- 7 can be removed from G6
- 7 can be removed from H4
- 7 can be removed from H6
Passo 8
Grouped X-Cycle
valore: 584
categoria doc: Grouped_X_Cycles
X-CYCLE on 6 ((w.Groups) Discontinuous Alternating Nice Loop, length 6):
+6[A8]-6[H8]+6[H6]-6[B6]+6[B7|B8]-6[A8]
- Contradiction: When A8 is set to 6 the chain implies it cannot be 6 - it can be removed
Passo 9
Grouped X-Cycle
valore: 581
categoria doc: Grouped_X_Cycles
X-CYCLE on 6 ((w.Groups) Discontinuous Alternating Nice Loop, length 6):
+6[C8]-6[H8]+6[H6]-6[B6]+6[B7|B8]-6[C8]
- Contradiction: When C8 is set to 6 the chain implies it cannot be 6 - it can be removed
Passo 10
WXYZ Wing
valore: 525.4
categoria doc: WXYZ_Wing
WXYZ Wing Type 1: The four cells {A7,A8,C8,D7} contain in total 1/3/6/9 with the hinge on A7.
Non-Restricted candidate 3 determines the 'wing' cells (in yellow) and one of those 3s must be true. Therefore...
- 3 can be removed from B7
Passo 11
Forcing Nets
valore: 519.9
categoria doc: Forcing_Nets
If A7 is not 9 then all 6s in Col 5 are removed so A7 must be 9
Depth: 10
len: 29
-9[A7]+9[F7]-9[F2]+9[E2]-6[E2]+6[E9]-6[D7]+3[D7]-3[A7]+6[A7]-6[A5]
-9[A7]+9[F7]-9[F2]+9[E2]-6[E2]+6[C2]-6[C5]
-9[A7]+9[F7]-9[F2]+9[E2]-6[E2]+6[E9]-6[G9]+7[G9]-7[G8]+6[G8]-6[G5]
Last candidate 9 in A7 changed to solution
Passo 12
Naked Singles
valore: 2.5
categoria doc: Getting_Started
Last candidate 1 in C8 changed to solution
Last candidate 5 in F7 changed to solution
Passo 13
Naked Singles
valore: 2.3
categoria doc: Getting_Started
Last candidate 3 in A8 changed to solution
Last candidate 5 in C1 changed to solution
Last candidate 6 in C2 changed to solution
Last candidate 9 in E8 changed to solution
Passo 14
Naked Singles
valore: 2.1
categoria doc: Getting_Started
Last candidate 1 in A3 changed to solution
Passo 15
Naked Singles
valore: 2
categoria doc: Getting_Started
Last candidate 2 in F3 changed to solution
Passo 16
Hidden Singles
valore: 3.6
categoria doc: Getting_Started
3 in D7 is last in row/column/box
6 in D3 is last in column/box
6 in E9 is last in row
9 in F2 is last in row/column/box
Passo 17
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 7 in D8 changed to solution
Last candidate 7 in G9 changed to solution
Passo 18
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 1 in F9 changed to solution
Passo 19
Naked Singles
valore: 1.5
categoria doc: Getting_Started
Last candidate 2 in D9 changed to solution
Passo 20
Hidden Singles
valore: 2.9
categoria doc: Getting_Started
2 in E5 is last in row/column/box
7 in H1 is last in row/column/box
Passo 21
Naked Pair
valore: 13.9
categoria doc: Naked_Candidates
Naked Pair 2/6 on cells {B7|B8} means
- 6 can be removed from B6
Passo 22
Naked Pair
valore: 13.8
categoria doc: Naked_Candidates
Naked Pair 5/8 on cells {H3|J3} means
- 8 can be removed from G1
Passo 23
Pointing Pairs
valore: 40.9
categoria doc: Intersection_Removal
Pair: between Box 4 and Col 1:
- 4 can be removed from G1
Passo 24
W-Wing
valore: 67.4
categoria doc: W_Wings
W-Wing (single). Either there is a 1 in B6 or in E2. They are connected through 3 in B4/E4, therefore
- 1 can be removed from E6
Passo 25
W-Wing
valore: 66.7
categoria doc: W_Wings
W-Wing (single). Either there is a 1 in B6 or in G1. They are connected through 3 in F6/F1, therefore
- 1 can be removed from G6
Passo 26
3D Medusa
valore: 211.3
categoria doc: 3D_Medusa
(RULE 5): Uncoloured candidate 4 in G6 can see coloured 4 elsewhere and an oppositely coloured 8 in its own cell. It can be removed.
Passo 27
Naked Triple
valore: 51.7
categoria doc: Naked_Candidates
Naked Triple 5/6/8 on cells {G6|G7|G8} means
- 5/6 can be removed from G5
Passo 28
Hidden Singles
valore: 2.5
categoria doc: Getting_Started
6 in A5 is last in column
Passo 29
Hidden Singles
valore: 2.4
categoria doc: Getting_Started
5 in J5 is last in column
Passo 30
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 8 in J3 changed to solution
Passo 31
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 5 in H3 changed to solution
Last candidate 2 in J7 changed to solution
Passo 32
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 6 in B7 changed to solution
Last candidate 6 in H8 changed to solution
Last candidate 1 in J2 changed to solution
Passo 33
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 2 in B8 changed to solution
Last candidate 3 in E2 changed to solution
Last candidate 3 in G1 changed to solution
Last candidate 8 in G7 changed to solution
Last candidate 5 in G8 changed to solution
Last candidate 7 in J6 changed to solution
Passo 34
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 5 in A6 changed to solution
Last candidate 4 in F1 changed to solution
Last candidate 4 in G2 changed to solution
Last candidate 6 in G6 changed to solution
Last candidate 9 in J4 changed to solution
Passo 35
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 7 in A4 changed to solution
Last candidate 4 in C4 changed to solution
Last candidate 8 in E6 changed to solution
Last candidate 7 in F5 changed to solution
Last candidate 3 in F6 changed to solution
Last candidate 1 in G5 changed to solution
Last candidate 2 in H2 changed to solution
Passo 36
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 1 in B6 changed to solution
Last candidate 9 in C5 changed to solution
Last candidate 1 in D4 changed to solution
Last candidate 4 in D5 changed to solution
Last candidate 1 in E1 changed to solution
Last candidate 8 in H4 changed to solution
Last candidate 4 in H6 changed to solution
Passo 37
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 3 in B4 changed to solution
Last candidate 8 in D1 changed to solution
Last candidate 5 in E4 changed to solution