Passi risolutivi (37)
Passo 1
Hidden Singles
valore: 6.2
categoria doc: Getting_Started
7 in G4 is last in row/box
9 in E3 is last in column
9 in H2 is last in row
9 in J9 is last in column/box
Passo 2
Hidden Singles
valore: 5.6
categoria doc: Getting_Started
4 in J7 is last in box
8 in F3 is last in box
9 in A4 is last in column
9 in D6 is last in row/box
Passo 3
Naked Pair
valore: 25.6
categoria doc: Naked_Candidates
Naked Pair 1/2 on cells {F1|F8} means
- 1/2 can be removed from F4
- 1/2 can be removed from F5
Passo 4
Pointing Pairs
valore: 75.9
categoria doc: Intersection_Removal
Pair: between Box 1 and Row A:
- 3 can be removed from A8
- 3 can be removed from A9
Passo 5
Pointing Pairs
valore: 75.1
categoria doc: Intersection_Removal
Pair: between Box 5 and Row E:
- 3 can be removed from E7
- 3 can be removed from E9
Passo 6
Pointing Pairs
valore: 74.3
categoria doc: Intersection_Removal
Pair: between Box 6 and Col 9:
- 7 can be removed from A9
- 7 can be removed from C9
Passo 7
Naked Pair
valore: 23.9
categoria doc: Naked_Candidates
Naked Pair 4/8 on cells {A9|C9} means
- 8 can be removed from A8
- 8 can be removed from B7
- 8 can be removed from B8
- 8 can be removed from C7
- 8 can be removed from E9
- 8 can be removed from G9
Passo 8
Hidden Singles
valore: 4.8
categoria doc: Getting_Started
8 in E7 is last in row/box
Passo 9
Line/Unit Reduction
valore: 91.9
categoria doc: Intersection_Removal
Line/Box Reduction: 4s in box 2 remove the following in the same box:
- 4 can be removed from A5
- 4 can be removed from A6
- 4 can be removed from C4
- 4 can be removed from C6
Passo 10
Line/Unit Reduction
valore: 90.2
categoria doc: Intersection_Removal
Line/Box Reduction: 7s in box 1 remove the following in the same box:
- 7 can be removed from A1
- 7 can be removed from A2
- 7 can be removed from B2
Passo 11
Chute Remote Pair
valore: 112.1
categoria doc: Chute_Remote_Pairs
1 cannot be set in the yellow cells {E7,E8,E9} and with the Remote Pair in D5 and F1 it means:
- 2 can be removed from D2
Passo 12
Hidden Singles
valore: 4.5
categoria doc: Getting_Started
2 in J2 is last in column
Passo 13
Rectangle Elimination
valore: 105.9
categoria doc: Rectangle_Elimination
If +1[G1] then -1[F1] forcing +1[F8] which removes all 1s from Box 9, so G1 cannot be 1
Passo 14
Rectangle Elimination
valore: 105.2
categoria doc: Rectangle_Elimination
If +1[G8] then -1[F8] forcing +1[F1] which removes all 1s from Box 7, so G8 cannot be 1
Passo 15
XYZ Wing
valore: 250.9
categoria doc: XYZ_Wing
XYZ-Wing pattern. Hinge: H8 (1/2/3), wings F8 G9, therefore
- 2 can be removed from G8
Passo 16
Rectangle Elimination
valore: 103.9
categoria doc: Rectangle_Elimination
If +2[H5] then -2[D5] forcing +2[D9] which removes all 2s from Box 9, so H5 cannot be 2
Passo 17
Line/Unit Reduction
valore: 82
categoria doc: Intersection_Removal
Line/Box Reduction: 2s in box 5 remove the following in the same box:
- 2 can be removed from E4
- 2 can be removed from E6
Passo 18
X-Cycle
valore: 279.2
categoria doc: X_Cycles
X-Cycle Rule 1 (Continuous Alternating Nice Loop, length 7):
-1[D7]+1[G7]-1[G3]+1[J1]-1[F1]+1[F8]-1[D7]
- Off-chain 1 taken off G6 - weak link: (1)G7 - to (1)G3 =
- Off-chain 1 taken off A1 - weak link: (1)J1 - to (1)F1 =
- Off-chain 1 taken off C1 - weak link: (1)J1 - to (1)F1 =
- Off-chain 1 taken off E1 - weak link: (1)J1 - to (1)F1 =
Passo 19
Naked Pair
valore: 19.8
categoria doc: Naked_Candidates
Naked Pair 2/7 on cells {E1|E9} means
- 2 can be removed from E5
Passo 20
Hidden Singles
valore: 3.9
categoria doc: Getting_Started
2 in D5 is last in column/box
Passo 21
3D Medusa
valore: 308.1
categoria doc: 3D_Medusa
(RULE 5): Uncoloured candidate 3 in G3 can see coloured 3 elsewhere and an oppositely coloured 1 in its own cell. It can be removed.
Passo 22
Hidden Singles
valore: 3.8
categoria doc: Getting_Started
3 in A3 is last in column
Passo 23
XY-Chain
valore: 315.7
categoria doc: XY_Chains
length=6, chain ends: D7 and G3
This proves 1 is the solution at one or possibly both ends of the chain
-1[D7]+3[D7]-3[D9]+7[D9]-7[E9]+2[E9]-2[G9]+3[G9]-3[G1]+5[G1]-5[G3]+1[G3]
- 1 can be removed from G7
Passo 24
Hidden Singles
valore: 3.7
categoria doc: Getting_Started
1 in D7 is last in column
1 in G3 is last in row
Passo 25
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 5 in C3 changed to solution
Last candidate 7 in D2 changed to solution
Last candidate 2 in F8 changed to solution
Passo 26
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 4 in A1 changed to solution
Last candidate 6 in C7 changed to solution
Last candidate 3 in D9 changed to solution
Last candidate 2 in E1 changed to solution
Last candidate 7 in E9 changed to solution
Last candidate 1 in F1 changed to solution
Passo 27
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 7 in A8 changed to solution
Last candidate 8 in A9 changed to solution
Last candidate 7 in C1 changed to solution
Last candidate 3 in G7 changed to solution
Last candidate 2 in G9 changed to solution
Passo 28
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 5 in B7 changed to solution
Last candidate 3 in B8 changed to solution
Last candidate 4 in C9 changed to solution
Last candidate 5 in G1 changed to solution
Last candidate 1 in H8 changed to solution
Passo 29
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 4 in H5 changed to solution
Last candidate 3 in J1 changed to solution
Passo 30
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 5 in F5 changed to solution
Passo 31
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 4 in F4 changed to solution
Passo 32
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 6 in B4 changed to solution
Passo 33
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 1 in A5 changed to solution
Last candidate 8 in B2 changed to solution
Passo 34
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 6 in A2 changed to solution
Last candidate 5 in A6 changed to solution
Last candidate 7 in B5 changed to solution
Last candidate 4 in B6 changed to solution
Last candidate 1 in C2 changed to solution
Last candidate 2 in C4 changed to solution
Last candidate 6 in E5 changed to solution
Passo 35
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 8 in C6 changed to solution
Last candidate 3 in H4 changed to solution
Last candidate 8 in J5 changed to solution
Passo 36
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 1 in E4 changed to solution
Last candidate 6 in G6 changed to solution
Last candidate 2 in H6 changed to solution
Last candidate 6 in J8 changed to solution
Passo 37
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 3 in E6 changed to solution
Last candidate 8 in G8 changed to solution
Last candidate 5 in J4 changed to solution
Last candidate 1 in J6 changed to solution