Passi risolutivi (40)
Passo 1
Hidden Singles
valore: 6.3
categoria doc: Getting_Started
5 in H6 is last in column/box
8 in F1 is last in row/box
Passo 2
Hidden Singles
valore: 5.7
categoria doc: Getting_Started
5 in F3 is last in row/box
7 in F6 is last in column
7 in H5 is last in box
Passo 3
Hidden Singles
valore: 5.1
categoria doc: Getting_Started
3 in H4 is last in row/box
4 in F4 is last in row
6 in D6 is last in column/box
7 in E8 is last in row/box
Passo 4
Hidden Singles
valore: 4.6
categoria doc: Getting_Started
1 in G4 is last in box
3 in D5 is last in row/box
Passo 5
Naked Pair
valore: 21.5
categoria doc: Naked_Candidates
Naked Pair 2/9 on cells {C3|G3} means
- 2/9 can be removed from B3
- 2 can be removed from E3
- 2/9 can be removed from H3
Passo 6
Naked Pair
valore: 20.8
categoria doc: Naked_Candidates
Naked Pair 2/8 on cells {J4|J5} means
- 2 can be removed from J1
- 2/8 can be removed from J2
- 2/8 can be removed from J9
Passo 7
Hidden Pair
valore: 40.7
categoria doc: Hidden_Candidates
Hidden Pair 8/9 in Box 2, on cells {B4|B5}
- removes 2 from B4
- removes 1/2 from B5
Passo 8
Naked Pair
valore: 19.5
categoria doc: Naked_Candidates
Naked Pair 8/9 on cells {B4|B5} means
- 9 can be removed from B1
- 8/9 can be removed from B7
- 9 can be removed from B8
- 8/9 can be removed from B9
Passo 9
Pointing Pairs
valore: 57.4
categoria doc: Intersection_Removal
Pair: between Box 9 and Row H:
- 4 can be removed from H1
- 4 can be removed from H2
- 4 can be removed from H3
Passo 10
Hidden Singles
valore: 3.8
categoria doc: Getting_Started
4 in B3 is last in column
Passo 11
Hidden Singles
valore: 3.5
categoria doc: Getting_Started
4 in A8 is last in row/box
4 in H7 is last in column
Passo 12
Naked Pair
valore: 16.5
categoria doc: Naked_Candidates
Naked Pair 2/9 on cells {A1|C3} means
- 2 can be removed from B1
- 2 can be removed from B2
- 2/9 can be removed from C1
Passo 13
Pointing Pairs
valore: 48.7
categoria doc: Intersection_Removal
Pair: between Box 9 and Col 9:
- 5 can be removed from B9
- 5 can be removed from C9
Passo 14
Rectangle Elimination
valore: 80.5
categoria doc: Rectangle_Elimination
If +9[G9] then -9[A9] forcing +9[A1] which removes all 9s from Box 7, so G9 cannot be 9
Passo 15
Rectangle Elimination
valore: 79.8
categoria doc: Rectangle_Elimination
If +9[H1] then -9[H8] forcing +9[C8] which removes all 9s from Box 1, so H1 cannot be 9
Passo 16
Pointing Pairs
valore: 47.5
categoria doc: Intersection_Removal
Pair: between Box 7 and Row G:
- 9 can be removed from G7
Passo 17
XYZ Wing
valore: 186.5
categoria doc: XYZ_Wing
XYZ-Wing pattern. Hinge: C8 (2/5/9), wings B8 C3, therefore
- 2 can be removed from C7
- 2 can be removed from C9
Passo 18
Hidden Unique Rectangle
valore: 308.1
categoria doc: Hidden_Unique_Rectangles
Type 1: removing 2 at B9 because of AB69 and two strong links on 3
Passo 19
Aligned Pair Exclusion
valore: 427.5
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 C7 / C8 reduced from 1/8/9->8/9 and 2/5/9->2/5/9
- Combinations of 1/2/5 found in ALS {B7,B8}
- Combinations of 1/2/9 found in ALS {C3,C6}
Passo 20
Y-Wing
valore: 121
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: C7 (8/9), wings C3 G7, therefore
- 2 can be removed from G3
Last candidate 9 in G3 changed to solution
Passo 21
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 2 in C3 changed to solution
Passo 22
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 9 in A1 changed to solution
Last candidate 1 in C6 changed to solution
Passo 23
XY-Chain
valore: 171.7
categoria doc: XY_Chains
length=4, chain ends: B8 and G7
This proves 2 is the solution at one or possibly both ends of the chain
-2[B8]+5[B8]-5[C8]+9[C8]-9[C7]+8[C7]-8[G7]+2[G7]
- 2 can be removed from B7
- 2 can be removed from H8
Last candidate 1 in B7 changed to solution
Passo 24
Chute Remote Pair
valore: 62.6
categoria doc: Chute_Remote_Pairs
2 cannot be set in the yellow cells {F1,F2,F3} and with the Remote Pair in D4 and E7 it means:
- 9 can be removed from D9
- 9 can be removed from E5
Passo 25
Hidden Singles
valore: 2.4
categoria doc: Getting_Started
9 in B5 is last in column
9 in D4 is last in row/box
9 in E7 is last in row/box
Passo 26
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 8 in B4 changed to solution
Last candidate 8 in C7 changed to solution
Passo 27
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 2 in G7 changed to solution
Last candidate 2 in J4 changed to solution
Passo 28
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 8 in J5 changed to solution
Passo 29
Naked Pair
valore: 9.2
categoria doc: Naked_Candidates
Naked Pair 5/7 on cells {C1|G1} means
- 5/7 can be removed from B1
- 5 can be removed from J1
Last candidate 6 in B1 changed to solution
Passo 30
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 4 in J1 changed to solution
Passo 31
Hidden Singles
valore: 1.6
categoria doc: Getting_Started
4 in D2 is last in row/column/box
Passo 32
XY-Chain
valore: 117.6
categoria doc: XY_Chains
length=5, chain ends: B2 and J9
This proves 5 is the solution at one or possibly both ends of the chain
-5[B2]+7[B2]-7[C1]+5[C1]-5[C8]+9[C8]-9[H8]+6[H8]-6[J9]+5[J9]
- 5 can be removed from J2
Last candidate 6 in J2 changed to solution
Passo 33
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 2 in E2 changed to solution
Last candidate 1 in H3 changed to solution
Last candidate 5 in J9 changed to solution
Passo 34
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 1 in D1 changed to solution
Last candidate 6 in E3 changed to solution
Last candidate 1 in E5 changed to solution
Last candidate 8 in G9 changed to solution
Last candidate 2 in H1 changed to solution
Last candidate 8 in H2 changed to solution
Passo 35
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 2 in D9 changed to solution
Last candidate 2 in F5 changed to solution
Passo 36
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 3 in A9 changed to solution
Last candidate 6 in F8 changed to solution
Passo 37
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 2 in A6 changed to solution
Last candidate 7 in B9 changed to solution
Last candidate 1 in F9 changed to solution
Last candidate 9 in H8 changed to solution
Passo 38
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 5 in B2 changed to solution
Last candidate 3 in B6 changed to solution
Last candidate 5 in C8 changed to solution
Last candidate 9 in C9 changed to solution
Last candidate 6 in H9 changed to solution
Passo 39
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 2 in B8 changed to solution
Last candidate 7 in C1 changed to solution
Last candidate 7 in G2 changed to solution
Passo 40
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 5 in G1 changed to solution