Passi risolutivi (34)
Passo 1
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 2 in C2 changed to solution
Passo 2
Hidden Singles
valore: 5
categoria doc: Getting_Started
2 in D3 is last in row/column/box
2 in G8 is last in column/box
6 in H7 is last in box
8 in H4 is last in column/box
Passo 3
Hidden Singles
valore: 4.5
categoria doc: Getting_Started
3 in B4 is last in column
3 in H6 is last in box
6 in D9 is last in row
Passo 4
Naked Singles
valore: 2.1
categoria doc: Getting_Started
Last candidate 5 in H3 changed to solution
Passo 5
Hidden Singles
valore: 4.2
categoria doc: Getting_Started
6 in B5 is last in row
6 in E4 is last in column
Passo 6
Naked Pair
valore: 19.7
categoria doc: Naked_Candidates
Naked Pair 6/7 on cells {C1|C3} means
- 7 can be removed from A3
- 7 can be removed from C5
- 7 can be removed from C7
- 7 can be removed from C8
- 7 can be removed from C9
Passo 7
Hidden Pair
valore: 38.8
categoria doc: Hidden_Candidates
Hidden Pair 4/8 in Row A, on cells {A3|A7}
- removes 1/7 from A7
Passo 8
Pointing Pairs
valore: 56.9
categoria doc: Intersection_Removal
Pair: between Box 9 and Row G:
- 1 can be removed from G1
- 1 can be removed from G2
- 1 can be removed from G5
Passo 9
Pointing Pairs
valore: 56.5
categoria doc: Intersection_Removal
Pair: between Box 8 and Col 5:
- 7 can be removed from A5
Passo 10
Line/Unit Reduction
valore: 74.3
categoria doc: Intersection_Removal
Line/Box Reduction: 5s in box 6 remove the following in the same box:
- 5 can be removed from E8
- 5 can be removed from E9
Passo 11
Line/Unit Reduction
valore: 73.2
categoria doc: Intersection_Removal
Line/Box Reduction: 9s in box 8 remove the following in the same box:
- 9 can be removed from G5
- 9 can be removed from H5
Passo 12
Rectangle Elimination
valore: 90.8
categoria doc: Rectangle_Elimination
If +9[C7] then -9[D7] forcing +9[D6] which removes all 9s from Box 2, so C7 cannot be 9
Passo 13
Hidden Unique Rectangle
valore: 360.4
categoria doc: Hidden_Unique_Rectangles
Type 1: removing 1 at J5 because of AJ45 and two strong links on 2
Passo 14
WXYZ Wing
valore: 357.6
categoria doc: WXYZ_Wing
WXYZ Wing Type 1: The four cells {E2,D1,E5,E6} contain in total 1/4/5/8 with the hinge on E2.
Non-Restricted candidate 4 determines the 'wing' cells (in yellow) and one of those 4s must be true. Therefore...
- 4 can be removed from E1
Passo 15
Aligned Pair Exclusion
valore: 496.8
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 A5 / C5 reduced from 1/2/5->1/2/5 and 1/5/9->5/9
- Pair 1/2 found in ALS {A4}
- Combinations of 1/4/5/7 found in ALS {E5,G5,H5}
Passo 16
Naked Pair
valore: 17.5
categoria doc: Naked_Candidates
Naked Pair 5/9 on cells {C5|C8} means
- 5/9 can be removed from C9
Passo 17
Naked Pair
valore: 17.3
categoria doc: Naked_Candidates
Naked Pair 1/3 on cells {C7|C9} means
- 1 can be removed from A9
Passo 18
Y-Wing
valore: 136.5
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: C8 (5/9), wings A9 H8, therefore
- 7 can be removed from B8
- 7 can be removed from G9
Passo 19
XY-Chain
valore: 218.2
categoria doc: XY_Chains
length=4, chain ends: H8 and E9
This proves 7 is the solution at one or possibly both ends of the chain
-7[H8]+9[H8]-9[G9]+1[G9]-1[C9]+3[C9]-3[E9]+7[E9]
- 7 can be removed from E8
- 7 can be removed from F8
Passo 20
Hidden Singles
valore: 3.3
categoria doc: Getting_Started
7 in H8 is last in column
Passo 21
Naked Singles
valore: 1.5
categoria doc: Getting_Started
Last candidate 1 in H5 changed to solution
Passo 22
Naked Singles
valore: 1.5
categoria doc: Getting_Started
Last candidate 9 in H2 changed to solution
Passo 23
Hidden Singles
valore: 2.9
categoria doc: Getting_Started
1 in E2 is last in column
1 in J1 is last in row/box
7 in G5 is last in row/column/box
Passo 24
Hidden Singles
valore: 2.5
categoria doc: Getting_Started
1 in A6 is last in column
1 in F4 is last in row/box
5 in D2 is last in column/box
6 in C1 is last in column
6 in J3 is last in row/box
Passo 25
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 2 in A4 changed to solution
Last candidate 7 in C3 changed to solution
Passo 26
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 5 in A5 changed to solution
Last candidate 9 in J4 changed to solution
Passo 27
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 7 in A9 changed to solution
Last candidate 9 in C5 changed to solution
Last candidate 4 in E5 changed to solution
Last candidate 4 in J6 changed to solution
Passo 28
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 7 in B6 changed to solution
Last candidate 5 in C8 changed to solution
Last candidate 9 in D6 changed to solution
Last candidate 5 in E6 changed to solution
Last candidate 8 in E8 changed to solution
Last candidate 3 in E9 changed to solution
Last candidate 2 in J5 changed to solution
Passo 29
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 1 in C9 changed to solution
Last candidate 4 in D7 changed to solution
Last candidate 7 in E1 changed to solution
Passo 30
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 8 in A7 changed to solution
Last candidate 3 in C7 changed to solution
Last candidate 8 in D1 changed to solution
Last candidate 9 in F8 changed to solution
Last candidate 9 in G9 changed to solution
Passo 31
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 4 in A3 changed to solution
Last candidate 9 in B7 changed to solution
Last candidate 4 in B8 changed to solution
Last candidate 7 in F7 changed to solution
Last candidate 5 in F9 changed to solution
Last candidate 1 in G7 changed to solution
Passo 32
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 8 in B2 changed to solution
Last candidate 3 in F3 changed to solution
Passo 33
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 4 in F1 changed to solution
Last candidate 4 in G2 changed to solution
Last candidate 8 in G3 changed to solution
Passo 34
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 3 in G1 changed to solution