Passi risolutivi (43)
Passo 1
Hidden Singles
valore: 5.7
categoria doc: Getting_Started
1 in D9 is last in column/box
2 in B5 is last in column/box
5 in H3 is last in column/box
7 in D4 is last in box
8 in J5 is last in column/box
Passo 2
Hidden Singles
valore: 5.1
categoria doc: Getting_Started
6 in E4 is last in box
9 in H5 is last in column
Passo 3
Hidden Singles
valore: 4.6
categoria doc: Getting_Started
1 in E5 is last in row/box
3 in A5 is last in column
Passo 4
Hidden Singles
valore: 4.4
categoria doc: Getting_Started
1 in A6 is last in row/box
Passo 5
Naked Pair
valore: 21.2
categoria doc: Naked_Candidates
Naked Pair 4/5 on cells {F5|F7} means
- 4 can be removed from F1
- 4/5 can be removed from F8
- 4 can be removed from F9
Passo 6
Naked Pair
valore: 20.5
categoria doc: Naked_Candidates
Naked Pair 6/8 on cells {F8|F9} means
- 8 can be removed from E8
- 6/8 can be removed from F1
- 6/8 can be removed from F3
Passo 7
Naked Pair
valore: 20.4
categoria doc: Naked_Candidates
Naked Pair 3/7 on cells {F3|J3} means
- 3 can be removed from C3
Passo 8
Pointing Pairs
valore: 60.2
categoria doc: Intersection_Removal
Pair: between Box 7 and Col 2:
- 2 can be removed from D2
- 2 can be removed from E2
Passo 9
Pointing Pairs
valore: 59.8
categoria doc: Intersection_Removal
Pair: between Box 2 and Row C:
- 5 can be removed from C8
Passo 10
Hidden Singles
valore: 3.9
categoria doc: Getting_Started
5 in A8 is last in column
Passo 11
Unique Rectangle Type 1
valore: 75.9
categoria doc: Unique_Rectangle
Uniqueness Type 1 removing 4/5 at D7 because of D5,F5,F7
Passo 12
Hidden Singles
valore: 3.7
categoria doc: Getting_Started
5 in D5 is last in row
5 in F7 is last in column/box
Passo 13
Naked Singles
valore: 1.8
categoria doc: Getting_Started
Last candidate 4 in F5 changed to solution
Passo 14
Pointing Pairs
valore: 54.1
categoria doc: Intersection_Removal
Pair: between Box 6 and Row E:
- 4 can be removed from E2
Passo 15
Unique Rectangle Type 1
valore: 71
categoria doc: Unique_Rectangle
Uniqueness Type 1 removing 3/7 at J1 because of F1,F3,J3
Passo 16
W-Wing
valore: 88
categoria doc: W_Wings
W-Wing (single). Either there is a 8 in C3 or in F9. They are connected through 6 in A2/A9, therefore
- 8 can be removed from C9
Passo 17
Rectangle Elimination
valore: 87.3
categoria doc: Rectangle_Elimination
If +7[G1] then -7[B1] forcing +7[B8] which removes all 7s from Box 9, so G1 cannot be 7
Passo 18
X-Cycle
valore: 260
categoria doc: X_Cycles
X-CYCLE Rule 3 (Discontinuous Alternating Nice Loop, length 8):
+7[H1]-7[H6]+7[G6]-7[G7]+7[A7]-7[B8]+7[B1]-7[H1]
- Contradiction: When H1 is set to 7 the chain implies it cannot be 7 - it can be removed
Passo 19
Hidden Unique Rectangle
valore: 343.9
categoria doc: Hidden_Unique_Rectangles
Type 2: removing 6 at B8 because of BF89 and one strong link on 8 between F9 and B9
Passo 20
WXYZ Wing
valore: 341.1
categoria doc: WXYZ_Wing
WXYZ Wing Type 1: The four cells {B9,A9,B4,F9} contain in total 4/6/8/9 with the hinge on B9.
Non-Restricted candidate 4 determines the 'wing' cells (in yellow) and one of those 4s must be true. Therefore...
- 4 can be removed from B8
Passo 21
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 G6 / H9 reduced from 5/7->5 and 2/3/4->2/3/4
- Combinations of 2/7/9 found in ALS {G7,G8}
- Combinations of 3/4/7 found in ALS {H4,H6}
Last candidate 5 in G6 changed to solution
Passo 22
Hidden Singles
valore: 3.2
categoria doc: Getting_Started
5 in C4 is last in row/column/box
7 in H6 is last in column/box
Passo 23
Hidden Singles
valore: 3.1
categoria doc: Getting_Started
9 in B4 is last in column/box
Passo 24
Hidden Pair
valore: 28.9
categoria doc: Hidden_Candidates
Hidden Pair 2/9 in Box 3, on cells {C8|C9}
- removes 4/6/8 from C8
- removes 4/6 from C9
Passo 25
Hidden Singles
valore: 2.9
categoria doc: Getting_Started
6 in F8 is last in column
Passo 26
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 8 in F9 changed to solution
Passo 27
Hidden Singles
valore: 2.7
categoria doc: Getting_Started
8 in B8 is last in column/box
Passo 28
Hidden Singles
valore: 2.6
categoria doc: Getting_Started
7 in A7 is last in box
7 in B1 is last in row
Passo 29
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 3 in F1 changed to solution
Passo 30
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 7 in F3 changed to solution
Last candidate 6 in H1 changed to solution
Passo 31
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 3 in J3 changed to solution
Passo 32
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 2 in H2 changed to solution
Passo 33
Hidden Singles
valore: 1.8
categoria doc: Getting_Started
3 in C2 is last in row/column/box
4 in E7 is last in column
Passo 34
Hidden Singles
valore: 1.7
categoria doc: Getting_Started
4 in J8 is last in column
Passo 35
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 3 in H9 changed to solution
Last candidate 1 in J4 changed to solution
Passo 36
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 3 in G4 changed to solution
Last candidate 4 in H4 changed to solution
Last candidate 9 in J1 changed to solution
Passo 37
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 4 in D1 changed to solution
Last candidate 7 in J2 changed to solution
Passo 38
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 8 in C1 changed to solution
Last candidate 8 in G2 changed to solution
Passo 39
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 6 in C3 changed to solution
Last candidate 9 in E2 changed to solution
Last candidate 1 in G1 changed to solution
Passo 40
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 4 in A2 changed to solution
Last candidate 4 in C6 changed to solution
Last candidate 6 in D2 changed to solution
Last candidate 2 in D3 changed to solution
Last candidate 2 in E8 changed to solution
Passo 41
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 6 in A9 changed to solution
Last candidate 6 in B6 changed to solution
Last candidate 9 in C8 changed to solution
Last candidate 9 in D7 changed to solution
Last candidate 8 in E3 changed to solution
Passo 42
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 4 in B9 changed to solution
Last candidate 2 in C9 changed to solution
Last candidate 2 in G7 changed to solution
Last candidate 7 in G8 changed to solution
Passo 43
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 9 in G9 changed to solution