Passi risolutivi (36)
Passo 1
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 8 in E6 changed to solution
Passo 2
Naked Singles
valore: 2
categoria doc: Getting_Started
Last candidate 2 in E4 changed to solution
Last candidate 4 in G6 changed to solution
Passo 3
Naked Singles
valore: 2.4
categoria doc: Getting_Started
Last candidate 9 in C6 changed to solution
Last candidate 1 in D4 changed to solution
Last candidate 6 in E7 changed to solution
Last candidate 1 in H6 changed to solution
Passo 4
Hidden Singles
valore: 4.7
categoria doc: Getting_Started
5 in C4 is last in column
Passo 5
Naked Pair
valore: 22.1
categoria doc: Naked_Candidates
Naked Pair 2/8 on cells {D7|D8} means
- 8 can be removed from D1
- 8 can be removed from D2
- 8 can be removed from F8
- 8 can be removed from F9
Last candidate 6 in D1 changed to solution
Passo 6
Hidden Singles
valore: 4.2
categoria doc: Getting_Started
8 in F2 is last in row/box
Passo 7
Y-Wing
valore: 161.8
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: B4 (6/8), wings B7 C5, therefore
- 4 can be removed from B5
- 4 can be removed from C8
Passo 8
Rectangle Elimination
valore: 100.4
categoria doc: Rectangle_Elimination
If +8[B8] then -8[H8] forcing +8[H5] which removes all 8s from Box 2, so B8 cannot be 8
Passo 9
X-Cycle
valore: 299.2
categoria doc: X_Cycles
X-CYCLE Rule 3 (Discontinuous Alternating Nice Loop, length 8):
+8[B7]-8[B4]+8[G4]-8[H5]+8[H8]-8[D8]+8[D7]-8[B7]
- Contradiction: When B7 is set to 8 the chain implies it cannot be 8 - it can be removed
Last candidate 4 in B7 changed to solution
Passo 10
Pointing Pairs
valore: 56.5
categoria doc: Intersection_Removal
Triple: between Box 3 and Row A:
- 8 can be removed from A5
Passo 11
XY-Chain
valore: 243.2
categoria doc: XY_Chains
length=4, chain ends: B4 and G1
This proves 8 is the solution at one or possibly both ends of the chain
-8[B4]+6[B4]-6[C5]+4[C5]-4[C1]+7[C1]-7[G1]+8[G1]
- 8 can be removed from G4
Last candidate 6 in G4 changed to solution
Passo 12
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 8 in B4 changed to solution
Passo 13
Naked Triple
valore: 67.1
categoria doc: Naked_Candidates
Naked Triple 3/8/9 on cells {G8|G9|J7} means
- 8 can be removed from H8
- 8/9 can be removed from J8
- 8 can be removed from J9
Passo 14
Hidden Singles
valore: 3.3
categoria doc: Getting_Started
8 in H5 is last in row
Passo 15
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 2 in G5 changed to solution
Passo 16
Naked Singles
valore: 1.5
categoria doc: Getting_Started
Last candidate 5 in J5 changed to solution
Passo 17
Hidden Singles
valore: 3
categoria doc: Getting_Started
5 in A1 is last in column
Passo 18
XY-Chain
valore: 306.2
categoria doc: XY_Chains
length=8, chain ends: A9 and G1
This proves 8 is the solution at one or possibly both ends of the chain
-8[A9]+6[A9]-6[J9]+1[J9]-1[F9]+7[F9]-7[F5]+9[F5]-9[D5]+3[D5]-3[D2]+9[D2]-9[G2]+7[G2]-7[G1]+8[G1]
- 8 can be removed from G9
Last candidate 3 in G9 changed to solution
Passo 19
Hidden Singles
valore: 2.8
categoria doc: Getting_Started
8 in A9 is last in column
Passo 20
Hidden Pair
valore: 25.9
categoria doc: Hidden_Candidates
Hidden Pair 2/3 in Row C, on cells {C2|C8}
- removes 4/6/7 from C2
- removes 6/7 from C8
Passo 21
XY-Chain
valore: 262.9
categoria doc: XY_Chains
length=8, chain ends: H8 and J1
This proves 4 is the solution at one or possibly both ends of the chain
-4[H8]+6[H8]-6[J9]+1[J9]-1[F9]+7[F9]-7[C9]+6[C9]-6[C5]+4[C5]-4[C1]+7[C1]-7[G1]+8[G1]-8[J1]+4[J1]
- 4 can be removed from H2
- 4 can be removed from H3
- 4 can be removed from J8
Passo 22
Hidden Singles
valore: 2.5
categoria doc: Getting_Started
4 in H8 is last in row/column/box
Passo 23
Naked Pair
valore: 12
categoria doc: Naked_Candidates
Naked Pair 5/6 on cells {H2|H3} means
- 6 can be removed from J2
- 6 can be removed from J3
Passo 24
XY-Chain
valore: 150.2
categoria doc: XY_Chains
length=4, chain ends: B3 and D2
This proves 3 is the solution at one or possibly both ends of the chain
-3[B3]+6[B3]-6[H3]+5[H3]-5[F3]+9[F3]-9[D2]+3[D2]
- 3 can be removed from B2
- 3 can be removed from C2
- 3 can be removed from E3
Last candidate 2 in C2 changed to solution
Passo 25
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 3 in C8 changed to solution
Passo 26
Hidden Singles
valore: 2
categoria doc: Getting_Started
2 in J3 is last in row/column/box
3 in B3 is last in row/column/box
Passo 27
Hidden Singles
valore: 2
categoria doc: Getting_Started
9 in F3 is last in column
Passo 28
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 3 in D2 changed to solution
Last candidate 7 in F5 changed to solution
Passo 29
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 9 in D5 changed to solution
Last candidate 3 in E5 changed to solution
Last candidate 1 in F9 changed to solution
Passo 30
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 5 in F8 changed to solution
Last candidate 6 in J9 changed to solution
Passo 31
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 7 in C9 changed to solution
Last candidate 7 in E8 changed to solution
Last candidate 1 in J8 changed to solution
Passo 32
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 6 in B8 changed to solution
Last candidate 4 in C1 changed to solution
Passo 33
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 6 in A3 changed to solution
Last candidate 1 in B5 changed to solution
Last candidate 6 in C5 changed to solution
Last candidate 8 in J1 changed to solution
Passo 34
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 1 in A2 changed to solution
Last candidate 4 in A5 changed to solution
Last candidate 7 in B2 changed to solution
Last candidate 7 in G1 changed to solution
Last candidate 5 in H3 changed to solution
Last candidate 9 in J7 changed to solution
Passo 35
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 2 in A7 changed to solution
Last candidate 4 in E3 changed to solution
Last candidate 9 in G2 changed to solution
Last candidate 8 in G8 changed to solution
Last candidate 6 in H2 changed to solution
Last candidate 4 in J2 changed to solution
Passo 36
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 9 in A8 changed to solution
Last candidate 8 in D7 changed to solution
Last candidate 2 in D8 changed to solution
Last candidate 5 in E2 changed to solution