Passi risolutivi (42)
Passo 1
Hidden Singles
valore: 6.1
categoria doc: Getting_Started
3 in J4 is last in row/box
4 in G5 is last in column/box
8 in B3 is last in row/box
8 in D4 is last in row/box
Passo 2
Hidden Singles
valore: 5.6
categoria doc: Getting_Started
1 in E4 is last in column/box
Passo 3
Hidden Singles
valore: 5.4
categoria doc: Getting_Started
1 in G8 is last in column
Passo 4
Naked Pair
valore: 25.6
categoria doc: Naked_Candidates
Naked Pair 2/9 on cells {A5|A8} means
- 2 can be removed from A3
- 2/9 can be removed from A6
- 2/9 can be removed from A7
Passo 5
Naked Pair
valore: 25
categoria doc: Naked_Candidates
Naked Pair 7/9 on cells {J5|J8} means
- 7/9 can be removed from J3
- 7/9 can be removed from J7
Passo 6
Pointing Pairs
valore: 74.3
categoria doc: Intersection_Removal
Pair: between Box 1 and Row C:
- 4 can be removed from C7
- 4 can be removed from C8
Passo 7
Hidden Singles
valore: 4.9
categoria doc: Getting_Started
4 in E8 is last in column
Passo 8
Hidden Singles
valore: 4.5
categoria doc: Getting_Started
4 in C2 is last in column
4 in F3 is last in row/box
Passo 9
Hidden Pair
valore: 43.7
categoria doc: Hidden_Candidates
Hidden Pair 1/3 in Col 2, on cells {A2|D2}
- removes 5/6 from A2
Passo 10
Pointing Pairs
valore: 64.8
categoria doc: Intersection_Removal
Triple: between Box 6 and Col 7:
- 2 can be removed from B7
- 2 can be removed from C7
Passo 11
Pointing Pairs
valore: 64.4
categoria doc: Intersection_Removal
Pair: between Box 5 and Row E:
- 7 can be removed from E7
Passo 12
Line/Unit Reduction
valore: 84.7
categoria doc: Intersection_Removal
Line/Box Reduction: 6s in box 1 remove the following in the same box:
- 6 can be removed from A3
- 6 can be removed from C3
Passo 13
Naked Triple
valore: 82.5
categoria doc: Naked_Candidates
Naked Triple 5/6/8 on cells {G2|J2|J3} means
- 5/6 can be removed from G3
- 5 can be removed from H1
- 5 can be removed from H3
Passo 14
X-Wing
valore: 122.1
categoria doc: X_Wing_Strategy
(Col->Row) 9 taken off E5, based on AJ58
(Col->Row) 9 taken off C8, based on AJ58
Passo 15
Pointing Pairs
valore: 59.8
categoria doc: Intersection_Removal
Pair: between Box 5 and Col 6:
- 9 can be removed from C6
- 9 can be removed from G6
- 9 can be removed from H6
Passo 16
Chute Remote Pair
valore: 97
categoria doc: Chute_Remote_Pairs
2 cannot be set in the yellow cells {A1,A2,A3} and with the Remote Pair in B4 and C8 it means:
- 7 can be removed from B7
- 7 can be removed from B9
- 7 can be removed from C4
- 7 can be removed from C6
Passo 17
Naked Triple
valore: 76.5
categoria doc: Naked_Candidates
Naked Triple 3/4/6 on cells {A7|B7|B9} means
- 3/6 can be removed from C7
Passo 18
Y-Wing
valore: 150.8
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: A5 (2/9), wings B4 J5, therefore
- 7 can be removed from G4
- 7 can be removed from H4
Passo 19
Hidden Singles
valore: 3.7
categoria doc: Getting_Started
7 in B4 is last in column
Passo 20
XY-Chain
valore: 274.4
categoria doc: XY_Chains
length=5, chain ends: F9 and H4
This proves 5 is the solution at one or possibly both ends of the chain
-5[F9]+9[F9]-9[F6]+2[F6]-2[E5]+7[E5]-7[J5]+9[J5]-9[H4]+5[H4]
- 5 can be removed from H9
Passo 21
X-Cycle
valore: 272.4
categoria doc: X_Cycles
X-CYCLE on 5 (Discontinuous Alternating Nice Loop, length 8):
+5[G6]-5[G9]+5[F9]-5[F1]+5[C1]-5[A3]+5[A6]-5[G6]
- Contradiction: When G6 is set to 5 the chain implies it cannot be 5 - it can be removed
Passo 22
Hidden Unique Rectangle
valore: 357.6
categoria doc: Hidden_Unique_Rectangles
Type 2b: removing 3 at D3 because of AD23 and one strong link on 1 between A2 and A3
Type 2b: removing 1 at A3 because of AD23 and one strong link on 3 between D2 and D3
Passo 23
Hidden Singles
valore: 3.5
categoria doc: Getting_Started
1 in A2 is last in row/box
3 in D2 is last in row/box
Passo 24
Y-Wing
valore: 137.6
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: A3 (3/5), wings A7 J3, therefore
- 6 can be removed from J7
Passo 25
Pointing Pairs
valore: 51.2
categoria doc: Intersection_Removal
Pair: between Box 9 and Row G:
- 6 can be removed from G2
Passo 26
Unique Rectangle 2+
valore: 167.8
categoria doc: Unique_Rectangles
Uniqueness Type 5: removing 5 from E2 and J3 because if true it would create a Deadly Rectangle with E3 and J3
Last candidate 6 in E2 changed to solution
Last candidate 6 in J3 changed to solution
Passo 27
Unique Rectangle Type 1
valore: 63.8
categoria doc: Unique_Rectangle
Uniqueness Type 1 removing 5/8 at G7 because of G2,J2,J7
Passo 28
WXYZ Wing
valore: 316.4
categoria doc: WXYZ_Wing
WXYZ Wing Type 1: The four cells {G9,F9,G7,J8} contain in total 5/6/7/9 with the hinge on G9.
Non-Restricted candidate 9 determines the 'wing' cells (in yellow) and one of those 9s must be true. Therefore...
- 9 can be removed from H9
Passo 29
3D Medusa
valore: 250.9
categoria doc: 3D_Medusa
(RULE 5): Uncoloured candidate 7 in G7 can see coloured 7 elsewhere and an oppositely coloured 6 in its own cell. It can be removed.
Passo 30
XY-Chain
valore: 198.5
categoria doc: XY_Chains
length=4, chain ends: B9 and G7
This proves 6 is the solution at one or possibly both ends of the chain
-6[B9]+4[B9]-4[H9]+7[H9]-7[J8]+9[J8]-9[G7]+6[G7]
- 6 can be removed from A7
- 6 can be removed from B7
- 6 can be removed from G9
Last candidate 3 in A7 changed to solution
Passo 31
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 5 in A3 changed to solution
Last candidate 4 in B7 changed to solution
Passo 32
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 6 in A6 changed to solution
Last candidate 6 in B9 changed to solution
Passo 33
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 2 in B1 changed to solution
Passo 34
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 3 in B6 changed to solution
Last candidate 6 in C1 changed to solution
Last candidate 3 in C3 changed to solution
Passo 35
Hidden Singles
valore: 2.1
categoria doc: Getting_Started
4 in H9 is last in row/column/box
5 in E7 is last in row
5 in F1 is last in column/box
6 in G7 is last in row/column/box
Passo 36
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 9 in F9 changed to solution
Last candidate 8 in J7 changed to solution
Passo 37
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 7 in D9 changed to solution
Last candidate 2 in F6 changed to solution
Last candidate 5 in J2 changed to solution
Passo 38
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 5 in C6 changed to solution
Last candidate 7 in E5 changed to solution
Last candidate 1 in F7 changed to solution
Last candidate 8 in G2 changed to solution
Last candidate 5 in G9 changed to solution
Passo 39
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 2 in D7 changed to solution
Last candidate 9 in E6 changed to solution
Last candidate 7 in G6 changed to solution
Last candidate 9 in J5 changed to solution
Passo 40
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 2 in A5 changed to solution
Last candidate 2 in E3 changed to solution
Last candidate 9 in G3 changed to solution
Last candidate 2 in G4 changed to solution
Last candidate 5 in H4 changed to solution
Last candidate 8 in H6 changed to solution
Last candidate 7 in J8 changed to solution
Passo 41
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 9 in A8 changed to solution
Last candidate 9 in C4 changed to solution
Last candidate 2 in C8 changed to solution
Last candidate 1 in D3 changed to solution
Last candidate 1 in H1 changed to solution
Last candidate 9 in H7 changed to solution
Passo 42
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 7 in C7 changed to solution
Last candidate 9 in D1 changed to solution
Last candidate 7 in H3 changed to solution