Passi risolutivi (41)
Passo 1
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 4 in J4 changed to solution
Passo 2
Hidden Singles
valore: 5.6
categoria doc: Getting_Started
5 in E4 is last in column/box
6 in C4 is last in column/box
Passo 3
Hidden Singles
valore: 5.3
categoria doc: Getting_Started
7 in C6 is last in row/box
7 in D4 is last in column
Passo 4
Hidden Singles
valore: 5
categoria doc: Getting_Started
8 in C2 is last in row
8 in D8 is last in row
Passo 5
Hidden Singles
valore: 4.6
categoria doc: Getting_Started
8 in G9 is last in column/box
Passo 6
Naked Singles
valore: 2.2
categoria doc: Getting_Started
Last candidate 9 in G4 changed to solution
Passo 7
Naked Singles
valore: 2.2
categoria doc: Getting_Started
Last candidate 8 in H4 changed to solution
Passo 8
Naked Singles
valore: 2.1
categoria doc: Getting_Started
Last candidate 1 in H5 changed to solution
Passo 9
Hidden Singles
valore: 4.2
categoria doc: Getting_Started
9 in H8 is last in row/box
Passo 10
Naked Pair
valore: 19.3
categoria doc: Naked_Candidates
Naked Pair 2/9 on cells {A5|A6} means
- 2/9 can be removed from A1
- 2 can be removed from A8
- 9 can be removed from A9
- 2/9 can be removed from B5
- 2/9 can be removed from B6
Passo 11
Naked Pair
valore: 19
categoria doc: Naked_Candidates
Naked Pair 4/8 on cells {B5|B6} means
- 4 can be removed from B7
- 4 can be removed from B9
Passo 12
Pointing Pairs
valore: 56.5
categoria doc: Intersection_Removal
Pair: between Box 5 and Row F:
- 9 can be removed from F3
Passo 13
Rectangle Elimination
valore: 93.5
categoria doc: Rectangle_Elimination
If +1[C9] then -1[J9] forcing +1[J1] which removes all 1s from Box 1, so C9 cannot be 1
Passo 14
Unique Rectangle 2+
valore: 181.6
categoria doc: Unique_Rectangles
Uniqueness Type 2 (Row) at BE56
The 3 in the roof cells (orange) stops a Deadly Pattern forming, so it must be placed in either E5 or E6. So..
The 3 in the roof cells (orange) stops a Deadly Pattern forming, so it must be placed in either E5 or E6. So..
The 3 in the roof cells (orange) stops a Deadly Pattern forming, so it must be placed in either E5 or E6. So..
The 3 in the roof cells (orange) stops a Deadly Pattern forming, so it must be placed in either E5 or E6. So..
- 3 can be removed from E8
- 3 can be removed from E9
- 3 can be removed from F5
- 3 can be removed from F6
Passo 15
Naked Pair
valore: 17.3
categoria doc: Naked_Candidates
Naked Pair 4/9 on cells {F5|F6} means
- 4 can be removed from E5
- 4 can be removed from E6
- 4 can be removed from F2
- 4 can be removed from F7
- 4 can be removed from F8
- 4 can be removed from F9
Passo 16
Rectangle Elimination
valore: 86
categoria doc: Rectangle_Elimination
If +4[E1] then -4[H1] forcing +4[H7] which removes all 4s from Box 6, so E1 cannot be 4
Passo 17
WXYZ Wing
valore: 341.1
categoria doc: WXYZ_Wing
WXYZ Wing Type 1: The four cells {D1,C1,D2,J1} contain in total 1/2/4/9 with the hinge on D1.
Non-Restricted candidate 2 determines the 'wing' cells (in yellow) and one of those 2s must be true. Therefore...
- 2 can be removed from E1
Passo 18
Aligned Pair Exclusion
valore: 473.7
categoria doc: Aligned_Pair_Exclusion
Some solution combinations in the two gray cells would empty at least one of the coloured cells. Removing those combinations create eliminations in the gray cells.
Pair D1 / E1 reduced from 2/4/9->2/4/9 and 1/7->7
- Combinations of 1/2/4 found in ALS {D2,E2}
Note: some ALSs share cells and cannot be fully colour indicated
Last candidate 7 in E1 changed to solution
Passo 19
Hidden Singles
valore: 3.2
categoria doc: Getting_Started
7 in F9 is last in row/column/box
7 in H3 is last in row/column/box
Passo 20
Hidden Singles
valore: 3.1
categoria doc: Getting_Started
6 in F7 is last in row/box
Passo 21
Rectangle Elimination
valore: 74.3
categoria doc: Rectangle_Elimination
If +1[C1] then -1[C7] forcing +1[G7] which removes all 1s from Box 7, so C1 cannot be 1
Passo 22
Rectangle Elimination
valore: 73.6
categoria doc: Rectangle_Elimination
If +1[G1] then -1[G7] forcing +1[C7] which removes all 1s from Box 1, so G1 cannot be 1
Passo 23
Rectangle Elimination
valore: 72.2
categoria doc: Rectangle_Elimination
If either +5[A1] or +5[G8] are ON then both are on because they are strongly linked through the hinge cell A8. If both are ON then this removes all 5s from Box 7, so neither can be 5
Passo 24
Hidden Singles
valore: 2.9
categoria doc: Getting_Started
5 in A8 is last in row/column
Passo 25
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 2 in B7 changed to solution
Passo 26
Hidden Singles
valore: 2.6
categoria doc: Getting_Started
2 in E8 is last in column/box
Passo 27
Line/Unit Reduction
valore: 49.5
categoria doc: Intersection_Removal
Line/Box Reduction: 5s in box 7 remove the following in the same box:
- 5 can be removed from G2
- 5 can be removed from G3
Passo 28
Naked Pair
valore: 12
categoria doc: Naked_Candidates
Naked Pair 1/2 on cells {G3|J1} means
- 2 can be removed from G1
- 1/2 can be removed from G2
Passo 29
Hidden Singles
valore: 2.4
categoria doc: Getting_Started
2 in D2 is last in column
Passo 30
Line/Unit Reduction
valore: 45.1
categoria doc: Intersection_Removal
Line/Box Reduction: 1s in box 4 remove the following in the same box:
- 1 can be removed from F3
Passo 31
Hidden Pair
valore: 22.3
categoria doc: Hidden_Candidates
Hidden Pair 1/2 in Col 3, on cells {C3|G3}
- removes 9 from C3
Passo 32
X-Wing
valore: 66
categoria doc: X_Wing_Strategy
(Col->Row) 1 taken off E9, based on AJ19
Last candidate 4 in E9 changed to solution
Passo 33
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 3 in D7 changed to solution
Last candidate 1 in E2 changed to solution
Passo 34
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 9 in D3 changed to solution
Last candidate 5 in F2 changed to solution
Last candidate 1 in F8 changed to solution
Passo 35
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 6 in B2 changed to solution
Last candidate 5 in B3 changed to solution
Last candidate 4 in D1 changed to solution
Last candidate 3 in F3 changed to solution
Passo 36
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 1 in A1 changed to solution
Last candidate 9 in B9 changed to solution
Last candidate 4 in G2 changed to solution
Last candidate 5 in H1 changed to solution
Passo 37
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 6 in A9 changed to solution
Last candidate 2 in C3 changed to solution
Last candidate 3 in C9 changed to solution
Last candidate 6 in G1 changed to solution
Last candidate 3 in G8 changed to solution
Last candidate 4 in H7 changed to solution
Last candidate 2 in J1 changed to solution
Passo 38
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 9 in C1 changed to solution
Last candidate 1 in C7 changed to solution
Last candidate 4 in C8 changed to solution
Last candidate 1 in G3 changed to solution
Last candidate 2 in G6 changed to solution
Last candidate 3 in J5 changed to solution
Last candidate 1 in J9 changed to solution
Passo 39
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 9 in A6 changed to solution
Last candidate 8 in E5 changed to solution
Last candidate 5 in G7 changed to solution
Passo 40
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 2 in A5 changed to solution
Last candidate 4 in B5 changed to solution
Last candidate 3 in E6 changed to solution
Last candidate 4 in F6 changed to solution
Passo 41
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 8 in B6 changed to solution
Last candidate 9 in F5 changed to solution