Passi risolutivi (45)
Passo 1
Hidden Pair
valore: 59.1
categoria doc: Hidden_Candidates
Hidden Pair 2/5 in Row D, on cells {D4|D5}
- removes 1 from D4
- removes 9 from D5
Passo 2
Naked Pair
valore: 28.9
categoria doc: Naked_Candidates
Naked Pair 2/5 on cells {D4|D5} means
- 2/5 can be removed from E4
- 2/5 can be removed from E5
- 5 can be removed from E6
Passo 3
Pointing Pairs
valore: 85.8
categoria doc: Intersection_Removal
Pair: between Box 5 and Row E:
- 1 can be removed from E8
- 1 can be removed from E9
Passo 4
Pointing Pairs
valore: 85.4
categoria doc: Intersection_Removal
Pair: between Box 8 and Row G:
- 1 can be removed from G3
Passo 5
Pointing Pairs
valore: 84.2
categoria doc: Intersection_Removal
Triple: between Box 6 and Row E:
- 6 can be removed from E4
- 6 can be removed from E5
- 6 can be removed from E6
Passo 6
Pointing Pairs
valore: 83.4
categoria doc: Intersection_Removal
Triple: between Box 6 and Row E:
- 7 can be removed from E1
- 7 can be removed from E3
Passo 7
Line/Unit Reduction
valore: 109.5
categoria doc: Intersection_Removal
Line/Box Reduction: 3s in box 6 remove the following in the same box:
- 3 can be removed from E7
- 3 can be removed from E8
- 3 can be removed from E9
Passo 8
Line/Unit Reduction
valore: 108.4
categoria doc: Intersection_Removal
Line/Box Reduction: 9s in box 6 remove the following in the same box:
- 9 can be removed from E7
- 9 can be removed from E9
Passo 9
Hidden Pair
valore: 53.1
categoria doc: Hidden_Candidates
Hidden Pair 1/9 in Col 9, on cells {B9|D9}
- removes 5/6/7 from B9
- removes 3 from D9
Passo 10
Hidden Singles
valore: 5.2
categoria doc: Getting_Started
5 in A9 is last in column/box
Passo 11
Pointing Pairs
valore: 75.5
categoria doc: Intersection_Removal
Pair: between Box 3 and Col 8:
- 4 can be removed from H8
- 4 can be removed from J8
Passo 12
Line/Unit Reduction
valore: 99.6
categoria doc: Intersection_Removal
Line/Box Reduction: 3s in box 9 remove the following in the same box:
- 3 can be removed from G7
- 3 can be removed from H8
Passo 13
Naked Triple
valore: 97.9
categoria doc: Naked_Candidates
Naked Triple 4/5/7 on cells {J4|J6|J9} means
- 4/7 can be removed from J1
- 7 can be removed from J8
Passo 14
Hidden Singles
valore: 4.8
categoria doc: Getting_Started
4 in H1 is last in column/box
Passo 15
Hidden Singles
valore: 4.6
categoria doc: Getting_Started
1 in H3 is last in row/box
7 in F1 is last in column
Passo 16
Naked Singles
valore: 2.1
categoria doc: Getting_Started
Last candidate 3 in F3 changed to solution
Passo 17
Hidden Singles
valore: 4.2
categoria doc: Getting_Started
3 in E6 is last in row/column/box
7 in G3 is last in column/box
Passo 18
Hidden Singles
valore: 3.9
categoria doc: Getting_Started
1 in E4 is last in row/box
1 in G6 is last in column
Passo 19
Hidden Singles
valore: 3.8
categoria doc: Getting_Started
4 in E5 is last in row/box
Passo 20
Pointing Pairs
valore: 55.7
categoria doc: Intersection_Removal
Pair: between Box 7 and Col 2:
- 3 can be removed from A2
Passo 21
W-Wing
valore: 92.2
categoria doc: W_Wings
W-Wing (single). Either there is a 2 in C3 or in D5. They are connected through 5 in B2/B5, therefore
- 2 can be removed from C5
Passo 22
3D Medusa
valore: 292.7
categoria doc: 3D_Medusa
(RULE 5): Uncoloured candidate 4 in A4 can see coloured 4 elsewhere and an oppositely coloured 7 in its own cell. It can be removed.
Passo 23
Hidden Unique Rectangle
valore: 363.1
categoria doc: Hidden_Unique_Rectangles
Type 1: removing 2 at J2 because of EJ12 and two strong links on 9
Passo 24
Hidden Unique Rectangle
valore: 360.4
categoria doc: Hidden_Unique_Rectangles
Type 2: removing 6 at C5 because of CF56 and one strong link on 9 between F6 and C6
Passo 25
XY-Chain
valore: 230.7
categoria doc: XY_Chains
length=4, chain ends: B9 and C5
This proves 9 is the solution at one or possibly both ends of the chain
-9[B9]+1[B9]-1[B1]+2[B1]-2[C3]+5[C3]-5[C5]+9[C5]
- 9 can be removed from B5
- 9 can be removed from C7
Passo 26
Forcing Nets
valore: 140.9
categoria doc: Forcing_Nets
If J6 is not 5 then all 6s in Box 1 are removed so J6 must be 5
Depth: 4 len: 10
-5[J6]+4[J6]-4[A6]+6[A6]-6[A2]
-5[J6]+5[C6]-5[C3]+5[B2]-6[B2]
Last candidate 5 in J6 changed to solution
Passo 27
Pointing Pairs
valore: 51.2
categoria doc: Intersection_Removal
Pair: between Box 8 and Col 4:
- 4 can be removed from C4
Passo 28
Hidden Unique Rectangle
valore: 338.4
categoria doc: Hidden_Unique_Rectangles
Type 1: removing 6 at C8 because of AC68 and two strong links on 4
Passo 29
WXYZ Wing
valore: 335.6
categoria doc: WXYZ_Wing
WXYZ Wing Type 1: The four cells {C5,C3,C4,F5} contain in total 2/5/6/9 with the hinge on C5.
Non-Restricted candidate 6 determines the 'wing' cells (in yellow) and one of those 6s must be true. Therefore...
- 6 can be removed from B5
Passo 30
Forcing Nets
valore: 166.4
categoria doc: Forcing_Nets
If C5 is not 9 then candidates 1 in Box 1 are both ON so C5 must be 9
Depth: 5 len: 12
-9[C5]+5[C5]-5[C3]+2[C3]-2[B1]+1[B1]
-9[C5]+9[C6]-4[C6]+4[C8]-1[C8]+1[C1]
Last candidate 9 in C5 changed to solution
Passo 31
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 6 in F5 changed to solution
Passo 32
Naked Singles
valore: 1.5
categoria doc: Getting_Started
Last candidate 9 in F6 changed to solution
Last candidate 8 in G5 changed to solution
Passo 33
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 7 in H5 changed to solution
Passo 34
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 4 in J4 changed to solution
Passo 35
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 6 in G4 changed to solution
Last candidate 7 in J9 changed to solution
Passo 36
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 6 in E9 changed to solution
Last candidate 2 in G7 changed to solution
Passo 37
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 3 in G2 changed to solution
Last candidate 3 in H9 changed to solution
Last candidate 8 in J8 changed to solution
Passo 38
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 7 in E8 changed to solution
Last candidate 4 in G9 changed to solution
Last candidate 8 in H2 changed to solution
Last candidate 6 in H8 changed to solution
Last candidate 9 in J2 changed to solution
Passo 39
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 8 in E7 changed to solution
Last candidate 2 in J1 changed to solution
Passo 40
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 1 in B1 changed to solution
Last candidate 9 in E1 changed to solution
Passo 41
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 2 in B8 changed to solution
Last candidate 9 in B9 changed to solution
Last candidate 3 in C1 changed to solution
Passo 42
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 8 in A1 changed to solution
Last candidate 5 in B5 changed to solution
Last candidate 6 in C7 changed to solution
Last candidate 1 in D9 changed to solution
Passo 43
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 6 in B2 changed to solution
Last candidate 7 in B7 changed to solution
Last candidate 2 in C4 changed to solution
Last candidate 4 in C6 changed to solution
Last candidate 2 in D5 changed to solution
Last candidate 3 in D8 changed to solution
Passo 44
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 2 in A2 changed to solution
Last candidate 7 in A4 changed to solution
Last candidate 6 in A6 changed to solution
Last candidate 3 in A7 changed to solution
Last candidate 4 in A8 changed to solution
Last candidate 5 in C3 changed to solution
Last candidate 1 in C8 changed to solution
Last candidate 5 in D4 changed to solution
Last candidate 9 in D7 changed to solution
Passo 45
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 5 in E2 changed to solution
Last candidate 2 in E3 changed to solution