Passi risolutivi (35)
Passo 1
Hidden Singles
valore: 6
categoria doc: Getting_Started
2 in F6 is last in row/column/box
4 in E8 is last in box
6 in E2 is last in column/box
6 in G5 is last in row/box
Passo 2
Hidden Singles
valore: 5.4
categoria doc: Getting_Started
4 in G2 is last in row
5 in F7 is last in box
5 in H8 is last in column
Passo 3
Hidden Singles
valore: 4.7
categoria doc: Getting_Started
3 in H7 is last in row/box
6 in A7 is last in column
8 in J9 is last in box
Passo 4
Naked Pair
valore: 21.6
categoria doc: Naked_Candidates
Naked Pair 1/3 on cells {E6|E9} means
- 1 can be removed from E1
- 1 can be removed from E4
- 1/3 can be removed from E5
Passo 5
Naked Pair
valore: 21.3
categoria doc: Naked_Candidates
Naked Pair 1/6 on cells {F4|F9} means
- 1 can be removed from F1
- 1 can be removed from F5
Passo 6
Pointing Pairs
valore: 62.3
categoria doc: Intersection_Removal
Pair: between Box 4 and Row D:
- 1 can be removed from D4
- 1 can be removed from D5
- 1 can be removed from D6
- 1 can be removed from D9
Passo 7
Pointing Pairs
valore: 61.1
categoria doc: Intersection_Removal
Pair: between Box 6 and Col 9:
- 1 can be removed from A9
- 1 can be removed from B9
- 1 can be removed from G9
Passo 8
Pointing Pairs
valore: 60.7
categoria doc: Intersection_Removal
Pair: between Box 7 and Row J:
- 2 can be removed from J7
Passo 9
Pointing Pairs
valore: 59.8
categoria doc: Intersection_Removal
Pair: between Box 6 and Col 9:
- 3 can be removed from A9
- 3 can be removed from B9
Passo 10
Pointing Pairs
valore: 58.6
categoria doc: Intersection_Removal
Pair: between Box 4 and Col 1:
- 9 can be removed from A1
- 9 can be removed from C1
- 9 can be removed from J1
Passo 11
Pointing Pairs
valore: 58.2
categoria doc: Intersection_Removal
Pair: between Box 9 and Row G:
- 9 can be removed from G3
Passo 12
Naked Triple
valore: 74.8
categoria doc: Naked_Candidates
Naked Triple 1/7/8 on cells {G3|H1|H2} means
- 1/7 can be removed from J1
- 1 can be removed from J2
- 1/7 can be removed from J3
Passo 13
Chute Remote Pair
valore: 92.8
categoria doc: Chute_Remote_Pairs
1 cannot be set in the yellow cells {D5,E5,F5} and with the Remote Pair in A4 and J6 it means:
- 4 can be removed from B6
Passo 14
Hidden Singles
valore: 3.6
categoria doc: Getting_Started
4 in B7 is last in row
Passo 15
Hidden Singles
valore: 3.5
categoria doc: Getting_Started
2 in G7 is last in column
Passo 16
X-Wing
valore: 103.2
categoria doc: X_Wing_Strategy
(Col->Row) 7 taken off C3, based on BG39
Passo 17
Rectangle Elimination
valore: 85.3
categoria doc: Rectangle_Elimination
If +1[C3] then -1[G3] forcing +1[G8] which removes all 1s from Box 3, so C3 cannot be 1
Passo 18
X-Cycle
valore: 253.8
categoria doc: X_Cycles
X-CYCLE on 8 (Discontinuous Alternating Nice Loop, length 8):
+8[B2]-8[B6]+8[D6]-8[F5]+8[F1]-8[H1]+8[H2]-8[B2]
- Contradiction: When B2 is set to 8 the chain implies it cannot be 8 - it can be removed
Passo 19
Y-Wing
valore: 132
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: B9 (2/7), wings B2 C7, therefore
- 1 can be removed from B8
- 1 can be removed from C1
- 1 can be removed from C2
Passo 20
XY-Chain
valore: 245.5
categoria doc: XY_Chains
length=5, chain ends: F1 and H2
This proves 8 is the solution at one or possibly both ends of the chain
-8[F1]+9[F1]-9[E1]+5[E1]-5[E4]+7[E4]-7[H4]+1[H4]-1[H2]+8[H2]
- 8 can be removed from H1
Passo 21
Hidden Singles
valore: 3.2
categoria doc: Getting_Started
8 in H2 is last in row/box
Passo 22
Naked Singles
valore: 1.5
categoria doc: Getting_Started
Last candidate 9 in C2 changed to solution
Passo 23
Hidden Singles
valore: 3
categoria doc: Getting_Started
9 in J3 is last in row/column/box
Passo 24
Line/Unit Reduction
valore: 57.2
categoria doc: Intersection_Removal
Line/Box Reduction: 1s in box 1 remove the following in the same box:
- 1 can be removed from A1
- 1 can be removed from A3
- 1 can be removed from B3
Passo 25
3D Medusa
valore: 224.5
categoria doc: 3D_Medusa
(RULE 4): Uncoloured candidate 1 in A4 can see two different coloured candidates of 1 elsewhere.
(RULE 4): Uncoloured candidate 1 in J6 can see two different coloured candidates of 1 elsewhere.
Last candidate 4 in A4 changed to solution
Last candidate 4 in J6 changed to solution
Passo 26
Hidden Singles
valore: 2.5
categoria doc: Getting_Started
4 in C1 is last in row/column/box
4 in D5 is last in row/column/box
Passo 27
Hidden Singles
valore: 2.3
categoria doc: Getting_Started
7 in B3 is last in box
7 in C7 is last in row
7 in H1 is last in column
Passo 28
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 2 in B9 changed to solution
Last candidate 1 in G3 changed to solution
Last candidate 1 in H4 changed to solution
Last candidate 1 in J7 changed to solution
Passo 29
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 9 in A9 changed to solution
Last candidate 1 in B2 changed to solution
Last candidate 6 in F4 changed to solution
Last candidate 9 in G8 changed to solution
Last candidate 7 in J5 changed to solution
Passo 30
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 5 in D4 changed to solution
Last candidate 9 in E5 changed to solution
Last candidate 1 in F9 changed to solution
Last candidate 7 in G9 changed to solution
Passo 31
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 8 in D3 changed to solution
Last candidate 5 in E1 changed to solution
Last candidate 7 in E4 changed to solution
Last candidate 3 in E9 changed to solution
Last candidate 8 in F5 changed to solution
Passo 32
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 3 in C3 changed to solution
Last candidate 1 in D1 changed to solution
Last candidate 3 in D6 changed to solution
Last candidate 6 in D9 changed to solution
Last candidate 1 in E6 changed to solution
Last candidate 9 in F1 changed to solution
Last candidate 2 in J1 changed to solution
Passo 33
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 8 in A1 changed to solution
Last candidate 5 in A3 changed to solution
Last candidate 8 in B6 changed to solution
Last candidate 1 in C5 changed to solution
Last candidate 5 in J2 changed to solution
Passo 34
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 2 in A2 changed to solution
Last candidate 3 in A5 changed to solution
Last candidate 3 in B8 changed to solution
Last candidate 8 in C8 changed to solution
Passo 35
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 1 in A8 changed to solution