Passi risolutivi (28)
Passo 1
Hidden Singles
valore: 5
categoria doc: Getting_Started
1 in F1 is last in row/box
2 in A9 is last in row/box
3 in F7 is last in row/column/box
3 in H6 is last in row
3 in J1 is last in column/box
4 in C7 is last in column/box
5 in E9 is last in row/box
Passo 2
Hidden Singles
valore: 4.3
categoria doc: Getting_Started
3 in C4 is last in row/column/box
9 in D9 is last in column/box
9 in E5 is last in row
Passo 3
Hidden Singles
valore: 4
categoria doc: Getting_Started
2 in D4 is last in box
Passo 4
Hidden Singles
valore: 3.9
categoria doc: Getting_Started
2 in J5 is last in row
Passo 5
Hidden Singles
valore: 3.7
categoria doc: Getting_Started
1 in J4 is last in row/box
Passo 6
Hidden Pair
valore: 35.8
categoria doc: Hidden_Candidates
Hidden Pair 4/7 in Box 4, on cells {D3|F2}
- removes 6 from D3
- removes 6/8 from F2
Passo 7
Naked Pair
valore: 17.7
categoria doc: Naked_Candidates
Naked Pair 4/7 on cells {F2|H2} means
- 7 can be removed from J2
Last candidate 6 in J2 changed to solution
Passo 8
Naked Pair
valore: 16.8
categoria doc: Naked_Candidates
Naked Pair 8/9 on cells {A2|B2} means
- 8 can be removed from C1
Passo 9
Pointing Pairs
valore: 49.5
categoria doc: Intersection_Removal
Pair: between Box 5 and Col 6:
- 6 can be removed from A6
- 6 can be removed from C6
Passo 10
Hidden Pair
valore: 32.2
categoria doc: Hidden_Candidates
Hidden Pair 1/6 in Row A, on cells {A5|A8}
- removes 4/8 from A5
- removes 8 from A8
Passo 11
Line/Unit Reduction
valore: 63.3
categoria doc: Intersection_Removal
Line/Box Reduction: 4s in box 8 remove the following in the same box:
- 4 can be removed from G4
- 4 can be removed from G6
Passo 12
Rectangle Elimination
valore: 77.7
categoria doc: Rectangle_Elimination
If either +5[B3] or +5[G4] are ON then both are on because they are strongly linked through the hinge cell B4. If both are ON then this removes all 5s from box 7, so neither can be 5
Passo 13
Hidden Singles
valore: 3.1
categoria doc: Getting_Started
5 in B4 is last in row/column
Passo 14
Hidden Singles
valore: 3
categoria doc: Getting_Started
9 in B2 is last in row
Passo 15
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 8 in A2 changed to solution
Passo 16
Chute Remote Pair
valore: 70.2
categoria doc: Chute_Remote_Pairs
1 cannot be set in the yellow cells {C7,C8,C9} and with the Remote Pair in A5 and B3 it means:
- 6 can be removed from B5
Passo 17
Rectangle Elimination
valore: 69.5
categoria doc: Rectangle_Elimination
If +7[H8] then -7[D8] forcing +7[D3] which removes all 7s from box 7, so H8 cannot be 7
Passo 18
X-Cycle
valore: 206.3
categoria doc: X_Cycles
X-CYCLE on 7 (Discontinuous Alternating Nice Loop, length 8):
+7[H5]-7[J6]+7[J8]-7[D8]+7[F9]-7[F2]+7[H2]-7[H5]
- Contradiction: When H5 is set to 7 the chain implies it cannot be 7 - it can be removed
Passo 19
XY-Chain
valore: 177
categoria doc: XY_Chains
length=4, chain ends: F4 and H5
This proves 8 is the solution at one or possibly both ends of the chain
-8[F4]+4[F4]-4[F2]+7[F2]-7[H2]+4[H2]-4[H5]+8[H5]
- 8 can be removed from G4
Last candidate 9 in G4 changed to solution
Passo 20
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 4 in A4 changed to solution
Last candidate 9 in A6 changed to solution
Last candidate 8 in F4 changed to solution
Passo 21
X-Wing
valore: 70.2
categoria doc: X_Wing_Strategy
(Row->Col) 8 taken off C5, based on CG69
(Row->Col) 8 taken off G5, based on CG69
(Row->Col) 8 taken off G7, based on CG69
Passo 22
XY-Chain
valore: 150.2
categoria doc: XY_Chains
length=4, chain ends: H8 and J6
This proves 5 is the solution at one or possibly both ends of the chain
-5[H8]+8[H8]-8[H5]+4[H5]-4[G5]+7[G5]-7[J6]+5[J6]
- 5 can be removed from J8
Last candidate 7 in J8 changed to solution
Passo 23
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 5 in J6 changed to solution
Passo 24
Hidden Singles
valore: 1.9
categoria doc: Getting_Started
5 in H8 is last in column/box
7 in B7 is last in column
7 in D3 is last in row
7 in F9 is last in box
Passo 25
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 4 in D6 changed to solution
Passo 26
Y-Wing
valore: 57.2
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: E7 (6/8), wings E3 H7, therefore
- 2 can be removed from H3
Last candidate 4 in H3 changed to solution
Last candidate 8 in H5 changed to solution
Last candidate 2 in H7 changed to solution
Passo 27
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 1 in B5 changed to solution
Last candidate 7 in G6 changed to solution
Last candidate 6 in G7 changed to solution
Last candidate 8 in G9 changed to solution
Last candidate 6 in A5 changed to solution
Last candidate 1 in A8 changed to solution
Last candidate 6 in B3 changed to solution
Last candidate 8 in B8 changed to solution
Last candidate 5 in C1 changed to solution
Last candidate 1 in C3 changed to solution
Last candidate 7 in C5 changed to solution
Last candidate 8 in C6 changed to solution
Last candidate 6 in C9 changed to solution
Last candidate 6 in D8 changed to solution
Last candidate 2 in E3 changed to solution
Last candidate 8 in E7 changed to solution
Last candidate 2 in G1 changed to solution
Last candidate 5 in G3 changed to solution
Last candidate 4 in G5 changed to solution
Passo 28
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 8 in D1 changed to solution
Last candidate 6 in E1 changed to solution