Passi risolutivi (33)
Passo 1
Hidden Singles
valore: 6.1
categoria doc: Getting_Started
3 in E9 is last in column/box
9 in B1 is last in row/box
Passo 2
Hidden Singles
valore: 5.8
categoria doc: Getting_Started
5 in C1 is last in column/box
Passo 3
Pointing Pairs
valore: 84.6
categoria doc: Intersection_Removal
Pair: between Box 2 and Row A:
- 5 can be removed from A7
- 5 can be removed from A9
Passo 4
Pointing Pairs
valore: 83.4
categoria doc: Intersection_Removal
Pair: between Box 4 and Row E:
- 8 can be removed from E4
- 8 can be removed from E5
- 8 can be removed from E6
Passo 5
Line/Unit Reduction
valore: 108.9
categoria doc: Intersection_Removal
Line/Box Reduction: 4s in box 4 remove the following in the same box:
- 4 can be removed from D2
- 4 can be removed from E2
- 4 can be removed from E3
- 4 can be removed from F3
Last candidate 2 in F3 changed to solution
Passo 6
Hidden Singles
valore: 5
categoria doc: Getting_Started
2 in C2 is last in box
Passo 7
Hidden Singles
valore: 4.8
categoria doc: Getting_Started
3 in H2 is last in column
Passo 8
Naked Singles
valore: 2.3
categoria doc: Getting_Started
Last candidate 9 in J3 changed to solution
Passo 9
Rectangle Elimination
valore: 115.5
categoria doc: Rectangle_Elimination
If +1[D4] then -1[D9] forcing +1[G9] which removes all 1s from Box 8, so D4 cannot be 1
Passo 10
X-Cycle
valore: 344.6
categoria doc: X_Cycles
X-CYCLE on 1 (Discontinuous Alternating Nice Loop, length 8):
+1[E4]-1[E2]+1[D2]-1[D9]+1[G9]-1[J7]+1[J4]-1[E4]
- Contradiction: When E4 is set to 1 the chain implies it cannot be 1 - it can be removed
Passo 11
Forcing Nets
valore: 137
categoria doc: Forcing_Nets
If B9 is not 5 then candidates 1 in Box 6 are both ON so B9 must be 5
Depth: 3 len: 8
-5[B9]+5[G9]-1[G9]+1[D9]
-5[B9]+5[B8]-5[F8]+1[F8]
Last candidate 5 in B9 changed to solution
Passo 12
Hidden Singles
valore: 4.4
categoria doc: Getting_Started
5 in G7 is last in row/box
Passo 13
Hidden Singles
valore: 4.2
categoria doc: Getting_Started
9 in H7 is last in column/box
Passo 14
Hidden Singles
valore: 4.2
categoria doc: Getting_Started
6 in H8 is last in row/box
Passo 15
Naked Singles
valore: 2
categoria doc: Getting_Started
Last candidate 8 in B8 changed to solution
Passo 16
Naked Singles
valore: 1.9
categoria doc: Getting_Started
Last candidate 1 in C8 changed to solution
Passo 17
Naked Singles
valore: 1.9
categoria doc: Getting_Started
Last candidate 5 in F8 changed to solution
Passo 18
Naked Singles
valore: 1.8
categoria doc: Getting_Started
Last candidate 2 in E8 changed to solution
Passo 19
Hidden Pair
valore: 34.7
categoria doc: Hidden_Candidates
Hidden Pair 5/9 in Box 5, on cells {E5|E6}
- removes 6/7 from E5
- removes 1/4/7 from E6
Passo 20
Line/Unit Reduction
valore: 68.8
categoria doc: Intersection_Removal
Line/Box Reduction: 1s in box 5 remove the following in the same box:
- 1 can be removed from D6
Passo 21
Rectangle Elimination
valore: 85.3
categoria doc: Rectangle_Elimination
If +6[D2] then -6[B2] forcing +6[B4] which removes all 6s from Box 5, so D2 cannot be 6
Passo 22
Hidden Pair
valore: 32.7
categoria doc: Hidden_Candidates
Hidden Pair 2/6 in Row D, on cells {D4|D5}
- removes 4/7/8 from D4
- removes 7/8 from D5
Passo 23
Hidden Singles
valore: 3.2
categoria doc: Getting_Started
8 in D6 is last in row/box
Passo 24
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 7 in H6 changed to solution
Passo 25
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 2 in H9 changed to solution
Passo 26
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 4 in A9 changed to solution
Last candidate 8 in H1 changed to solution
Passo 27
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 6 in C7 changed to solution
Last candidate 4 in G3 changed to solution
Passo 28
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 2 in A7 changed to solution
Last candidate 3 in C3 changed to solution
Last candidate 7 in G2 changed to solution
Passo 29
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 6 in A3 changed to solution
Last candidate 4 in C6 changed to solution
Last candidate 1 in D2 changed to solution
Last candidate 1 in G9 changed to solution
Last candidate 2 in J1 changed to solution
Passo 30
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 4 in B2 changed to solution
Last candidate 6 in B4 changed to solution
Last candidate 7 in D9 changed to solution
Last candidate 6 in E2 changed to solution
Last candidate 8 in E3 changed to solution
Last candidate 9 in G6 changed to solution
Last candidate 3 in J5 changed to solution
Last candidate 7 in J7 changed to solution
Passo 31
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 5 in A5 changed to solution
Last candidate 2 in D4 changed to solution
Last candidate 4 in D7 changed to solution
Last candidate 5 in E6 changed to solution
Last candidate 7 in F5 changed to solution
Last candidate 1 in J4 changed to solution
Passo 32
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 3 in A6 changed to solution
Last candidate 8 in C5 changed to solution
Last candidate 6 in D5 changed to solution
Last candidate 4 in E4 changed to solution
Last candidate 9 in E5 changed to solution
Last candidate 1 in E7 changed to solution
Last candidate 4 in F1 changed to solution
Last candidate 8 in G4 changed to solution
Passo 33
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 7 in C4 changed to solution
Last candidate 7 in E1 changed to solution
Last candidate 3 in F4 changed to solution
Last candidate 1 in F6 changed to solution
Last candidate 2 in G5 changed to solution