Passi risolutivi (43)
Passo 1
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 5 in C4 changed to solution
Passo 2
Hidden Singles
valore: 5.3
categoria doc: Getting_Started
3 in G8 is last in column/box
7 in C5 is last in row/box
7 in E3 is last in row
7 in F8 is last in column/box
9 in E7 is last in column/box
Passo 3
Naked Singles
valore: 2.3
categoria doc: Getting_Started
Last candidate 6 in E1 changed to solution
Passo 4
Hidden Singles
valore: 4.5
categoria doc: Getting_Started
4 in B5 is last in box
9 in A5 is last in column/box
Passo 5
Hidden Singles
valore: 4.1
categoria doc: Getting_Started
2 in A6 is last in box
9 in D1 is last in column
Passo 6
Naked Pair
valore: 19.4
categoria doc: Naked_Candidates
Naked Pair 1/3 on cells {A4|B4} means
- 1/3 can be removed from F4
- 3 can be removed from J4
Passo 7
Pointing Pairs
valore: 57.8
categoria doc: Intersection_Removal
Pair: between Box 6 and Col 9:
- 2 can be removed from J9
Passo 8
Hidden Singles
valore: 3.8
categoria doc: Getting_Started
2 in J7 is last in row/box
Passo 9
Pointing Pairs
valore: 54.9
categoria doc: Intersection_Removal
Pair: between Box 4 and Row F:
- 3 can be removed from F5
Passo 10
Pointing Pairs
valore: 54.5
categoria doc: Intersection_Removal
Pair: between Box 4 and Row F:
- 4 can be removed from F9
Passo 11
Rectangle Elimination
valore: 90.1
categoria doc: Rectangle_Elimination
If +8[J2] then -8[D2] forcing +8[D5] which removes all 8s from Box 8, so J2 cannot be 8
Passo 12
Sword-Fish
valore: 173.3
categoria doc: Sword_Fish_Strategy
(Row->Col) 8 taken off A3, SF=AFJ149
(Row->Col) 8 taken off F2, SF=AFJ149
(Row->Col) 8 taken off F3, SF=AFJ149
(Row->Col) 8 taken off F5, SF=AFJ149
(Row->Col) 8 taken off J5, SF=AFJ149
Passo 13
Hidden Unique Rectangle
valore: 343.9
categoria doc: Hidden_Unique_Rectangles
Type 1: removing 8 at H2 because of CH23 and two strong links on 9
Passo 14
Hidden Unique Rectangle
valore: 341.1
categoria doc: Hidden_Unique_Rectangles
Type 1: removing 1 at F5 because of EF59 and two strong links on 2
Passo 15
WXYZ Wing
valore: 332.9
categoria doc: WXYZ_Wing
WXYZ Wing Type 2: The four cells {A8,A9,B7,A1} contain in total 1/5/6/8.
Hinge cells (orange) contains WXYZ and 'wing' cells (in yellow) contain WY and XZ respectively. Therefore...
5 can be taken off A3 (Row)
1/6 can be taken off B8 (Box)
Passo 16
Aligned Pair Exclusion
valore: 462.2
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 B3 / C3 reduced from 3/5/6->3/5/6 and 8/9->9
- Pair 5/8 found in ALS {A1}
- Combinations of 3/4/6/8 found in ALS {A3,F3,G3}
Last candidate 9 in C3 changed to solution
Passo 17
Hidden Singles
valore: 3.2
categoria doc: Getting_Started
9 in H2 is last in row/column/box
Passo 18
Line/Unit Reduction
valore: 62.2
categoria doc: Intersection_Removal
Line/Box Reduction: 8s in box 7 remove the following in the same box:
- 8 can be removed from G2
- 8 can be removed from J1
Passo 19
Naked Pair
valore: 15.1
categoria doc: Naked_Candidates
Naked Pair 6/7 on cells {G2|J2} means
- 6 can be removed from B2
- 6 can be removed from G3
- 6 can be removed from H3
Passo 20
XY-Chain
valore: 194.9
categoria doc: XY_Chains
length=4, chain ends: D6 and J1
This proves 5 is the solution at one or possibly both ends of the chain
-5[D6]+1[D6]-1[D2]+8[D2]-8[F1]+4[F1]-4[J1]+5[J1]
- 5 can be removed from J6
Passo 21
XY-Chain
valore: 252.5
categoria doc: XY_Chains
length=6, chain ends: C7 and G3
This proves 8 is the solution at one or possibly both ends of the chain
-8[C7]+4[C7]-4[C8]+2[C8]-2[C2]+8[C2]-8[A1]+5[A1]-5[J1]+4[J1]-4[G3]+8[G3]
- 8 can be removed from G7
Passo 22
3D Medusa
valore: 233.3
categoria doc: 3D_Medusa
(RULE 5): Uncoloured candidate 4 in J9 can see coloured 4 elsewhere and an oppositely coloured 8 in its own cell. It can be removed.
(RULE 5): Uncoloured candidate 6 in J5 can see coloured 6 elsewhere and an oppositely coloured 5 in its own cell. It can be removed.
Passo 23
Hidden Singles
valore: 2.9
categoria doc: Getting_Started
4 in D9 is last in column
Passo 24
Naked Pair
valore: 13.9
categoria doc: Naked_Candidates
Naked Pair 6/8 on cells {J4|J9} means
- 6 can be removed from J2
Last candidate 7 in J2 changed to solution
Passo 25
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 6 in G2 changed to solution
Passo 26
Hidden Singles
valore: 2.6
categoria doc: Getting_Started
7 in G6 is last in row/column/box
Passo 27
Chute Remote Pair
valore: 62.6
categoria doc: Chute_Remote_Pairs
1 cannot be set in the yellow cells {G9,H9,J9} and with the Remote Pair in B7 and D8 it means:
- 6 can be removed from A8
Passo 28
XY-Chain
valore: 159.1
categoria doc: XY_Chains
length=4, chain ends: A4 and B2
This proves 3 is the solution at one or possibly both ends of the chain
-3[A4]+1[A4]-1[A8]+5[A8]-5[B8]+2[B8]-2[B2]+3[B2]
- 3 can be removed from A3
- 3 can be removed from B4
Last candidate 6 in A3 changed to solution
Last candidate 1 in B4 changed to solution
Passo 29
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 3 in A4 changed to solution
Last candidate 6 in B7 changed to solution
Passo 30
Line/Unit Reduction
valore: 43.5
categoria doc: Intersection_Removal
Line/Box Reduction: 1s in box 9 remove the following in the same box:
- 1 can be removed from H8
Passo 31
X-Wing
valore: 64.4
categoria doc: X_Wing_Strategy
(Col->Row) 6 taken off F5, based on DH58
Last candidate 2 in F5 changed to solution
Passo 32
Hidden Singles
valore: 2
categoria doc: Getting_Started
2 in E9 is last in row/column/box
Passo 33
Naked Pair
valore: 9.8
categoria doc: Naked_Candidates
Naked Pair 1/3 on cells {E5|E6} means
- 1 can be removed from D5
- 1 can be removed from D6
Last candidate 5 in D6 changed to solution
Passo 34
Y-Wing
valore: 73.7
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: G5 (1/8), wings G3 H6, therefore
- 4 can be removed from H3
Passo 35
XY-Chain
valore: 118
categoria doc: XY_Chains
length=4, chain ends: C7 and H3
This proves 8 is the solution at one or possibly both ends of the chain
-8[C7]+4[C7]-4[G7]+1[G7]-1[G5]+8[G5]-8[G3]+8[H3]
- 8 can be removed from H7
Passo 36
Hidden Singles
valore: 1.8
categoria doc: Getting_Started
8 in C7 is last in column
8 in J9 is last in box
Passo 37
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 1 in A9 changed to solution
Last candidate 2 in C2 changed to solution
Last candidate 6 in J4 changed to solution
Passo 38
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 5 in A8 changed to solution
Last candidate 3 in B2 changed to solution
Last candidate 4 in C8 changed to solution
Last candidate 8 in F4 changed to solution
Last candidate 6 in F9 changed to solution
Passo 39
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 8 in A1 changed to solution
Last candidate 5 in B3 changed to solution
Last candidate 2 in B8 changed to solution
Last candidate 6 in D5 changed to solution
Last candidate 1 in D8 changed to solution
Last candidate 4 in F1 changed to solution
Last candidate 1 in F2 changed to solution
Last candidate 6 in H8 changed to solution
Passo 40
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 8 in D2 changed to solution
Last candidate 3 in F3 changed to solution
Last candidate 8 in H3 changed to solution
Last candidate 5 in J1 changed to solution
Passo 41
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 4 in G3 changed to solution
Last candidate 3 in J5 changed to solution
Passo 42
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 1 in E5 changed to solution
Last candidate 1 in G7 changed to solution
Last candidate 4 in J6 changed to solution
Passo 43
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 3 in E6 changed to solution
Last candidate 8 in G5 changed to solution
Last candidate 5 in H5 changed to solution
Last candidate 1 in H6 changed to solution
Last candidate 4 in H7 changed to solution