Passi risolutivi (46)
Passo 1
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 1 in E2 changed to solution
Passo 2
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 3 in E8 changed to solution
Passo 3
Hidden Singles
valore: 5.5
categoria doc: Getting_Started
1 in C3 is last in column/box
Passo 4
Naked Pair
valore: 27.2
categoria doc: Naked_Candidates
Naked Pair 8/9 on cells {E4|E6} means
- 8 can be removed from F4
Passo 5
Hidden Pair
valore: 53.6
categoria doc: Hidden_Candidates
Hidden Pair 1/4 in Box 3, on cells {A8|A9}
- removes 9 from A8
- removes 2/8 from A9
Passo 6
Hidden Singles
valore: 5.3
categoria doc: Getting_Started
8 in C7 is last in box
Passo 7
Naked Pair
valore: 25.4
categoria doc: Naked_Candidates
Naked Pair 1/4 on cells {A8|A9} means
- 4 can be removed from A1
- 4 can be removed from A2
Passo 8
Pointing Pairs
valore: 75.5
categoria doc: Intersection_Removal
Pair: between Box 3 and Row B:
- 2 can be removed from B1
- 2 can be removed from B6
Passo 9
Pointing Pairs
valore: 74.3
categoria doc: Intersection_Removal
Pair: between Box 7 and Row J:
- 2 can be removed from J4
- 2 can be removed from J5
- 2 can be removed from J6
Passo 10
Pointing Pairs
valore: 73.9
categoria doc: Intersection_Removal
Triple: between Box 3 and Row B:
- 5 can be removed from B6
Passo 11
Pointing Pairs
valore: 73
categoria doc: Intersection_Removal
Pair: between Box 3 and Row B:
- 9 can be removed from B3
- 9 can be removed from B6
Passo 12
Pointing Pairs
valore: 72.2
categoria doc: Intersection_Removal
Pair: between Box 1 and Col 2:
- 9 can be removed from H2
- 9 can be removed from J2
Passo 13
Chute Remote Pair
valore: 118.3
categoria doc: Chute_Remote_Pairs
4 cannot be set in the yellow cells {A3,B3,C3} and with the Remote Pair in D2 and H1 it means:
- 6 can be removed from F1
- 6 can be removed from H2
- 6 can be removed from J2
Passo 14
Rectangle Elimination
valore: 117.6
categoria doc: Rectangle_Elimination
If +6[D6] then -6[D2] forcing +6[A2] which removes all 6s from Box 2, so D6 cannot be 6
Passo 15
XYZ Wing
valore: 280.6
categoria doc: XYZ_Wing
XYZ-Wing pattern. Hinge: D3 (4/6/7), wings B3 D2, therefore
- 6 can be removed from F3
Passo 16
Naked Pair
valore: 23.1
categoria doc: Naked_Candidates
Naked Pair 7/8 on cells {F1|F3} means
- 7 can be removed from D3
- 7 can be removed from F8
Passo 17
Hidden Singles
valore: 4.5
categoria doc: Getting_Started
7 in D9 is last in row/box
7 in J8 is last in column
Passo 18
Hidden Singles
valore: 4.2
categoria doc: Getting_Started
2 in B9 is last in column
7 in H4 is last in row/box
Passo 19
Hidden Singles
valore: 4
categoria doc: Getting_Started
3 in H7 is last in row
Passo 20
Hidden Singles
valore: 3.9
categoria doc: Getting_Started
9 in H3 is last in row
Passo 21
Hidden Singles
valore: 3.8
categoria doc: Getting_Started
6 in H1 is last in row
Passo 22
Naked Pair
valore: 18
categoria doc: Naked_Candidates
Naked Pair 4/6 on cells {D2|D3} means
- 6 can be removed from D5
Passo 23
Line/Unit Reduction
valore: 70.4
categoria doc: Intersection_Removal
Line/Box Reduction: 5s in box 9 remove the following in the same box:
- 5 can be removed from G7
- 5 can be removed from G8
- 5 can be removed from J7
Passo 24
W-Wing
valore: 87.3
categoria doc: W_Wings
W-Wing (single). Either there is a 2 in A1 or in D6. They are connected through 3 in B1/B6, therefore
- 2 can be removed from A6
Passo 25
XYZ Wing
valore: 208
categoria doc: XYZ_Wing
XYZ-Wing pattern. Hinge: G9 (4/5/8), wings G3 H9, therefore
- 4 can be removed from G8
Last candidate 9 in G8 changed to solution
Passo 26
Naked Singles
valore: 1.5
categoria doc: Getting_Started
Last candidate 5 in B8 changed to solution
Last candidate 6 in G7 changed to solution
Passo 27
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 9 in B7 changed to solution
Last candidate 1 in F8 changed to solution
Last candidate 1 in J7 changed to solution
Passo 28
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 4 in A8 changed to solution
Last candidate 2 in D7 changed to solution
Passo 29
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 1 in A9 changed to solution
Last candidate 3 in D6 changed to solution
Last candidate 5 in F7 changed to solution
Passo 30
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 1 in D5 changed to solution
Passo 31
Hidden Singles
valore: 2.4
categoria doc: Getting_Started
3 in B1 is last in row
Passo 32
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 2 in A1 changed to solution
Passo 33
Hidden Singles
valore: 2.1
categoria doc: Getting_Started
2 in J2 is last in row/column/box
Passo 34
Hidden Singles
valore: 2.1
categoria doc: Getting_Started
5 in H2 is last in column/box
Passo 35
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 4 in H9 changed to solution
Passo 36
XY-Chain
valore: 196.4
categoria doc: XY_Chains
length=8, chain ends: C4 and G6
This proves 2 is the solution at one or possibly both ends of the chain
-2[C4]+9[C4]-9[C2]+4[C2]-4[C1]+7[C1]-7[B3]+6[B3]-6[D3]+4[D3]-4[G3]+8[G3]-8[G9]+5[G9]-5[G6]+2[G6]
- 2 can be removed from C6
- 2 can be removed from G4
Passo 37
Hidden Singles
valore: 1.8
categoria doc: Getting_Started
2 in G6 is last in column
Passo 38
3D Medusa
valore: 138.7
categoria doc: 3D_Medusa
(RULE 5): Uncoloured candidate 6 in A4 can see coloured 6 elsewhere and an oppositely coloured 3 in its own cell. It can be removed.
(RULE 5): Uncoloured candidate 9 in A5 can see coloured 9 elsewhere and an oppositely coloured 3 in its own cell. It can be removed.
Passo 39
XY-Chain
valore: 162
categoria doc: XY_Chains
length=7. This XY-Chain is continuous and one value in each cell must be the solution, so all off-chain candidates can be removed
-6[A5]+3[A5]-3[G5]+5[G5]-5[G9]+8[G9]-8[G3]+4[G3]-4[D3]+6[D3]-6[B3]+7[B3]-7[B6]+6[B6]
- 6 can be removed from A6
Passo 40
Naked Pair
valore: 8.3
categoria doc: Naked_Candidates
Naked Pair 8/9 on cells {A6|E6} means
- 9 can be removed from C6
- 9 can be removed from J6
Passo 41
Unique Rectangle Type 1
valore: 31.9
categoria doc: Unique_Rectangle
Uniqueness Type 1 removing 8/9 at A4 because of A6,E6,E4
Last candidate 3 in A4 changed to solution
Passo 42
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 6 in A5 changed to solution
Last candidate 4 in G4 changed to solution
Passo 43
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 9 in A2 changed to solution
Last candidate 7 in B6 changed to solution
Last candidate 2 in F5 changed to solution
Last candidate 8 in G3 changed to solution
Passo 44
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 8 in A6 changed to solution
Last candidate 6 in B3 changed to solution
Last candidate 4 in C2 changed to solution
Last candidate 5 in C6 changed to solution
Last candidate 7 in F3 changed to solution
Last candidate 6 in F4 changed to solution
Last candidate 5 in G9 changed to solution
Last candidate 4 in J1 changed to solution
Passo 45
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 7 in C1 changed to solution
Last candidate 9 in C5 changed to solution
Last candidate 6 in D2 changed to solution
Last candidate 4 in D3 changed to solution
Last candidate 9 in E6 changed to solution
Last candidate 8 in F1 changed to solution
Last candidate 3 in G5 changed to solution
Last candidate 9 in J4 changed to solution
Last candidate 6 in J6 changed to solution
Last candidate 8 in J9 changed to solution
Passo 46
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 2 in C4 changed to solution
Last candidate 8 in E4 changed to solution
Last candidate 5 in J5 changed to solution