Passi risolutivi (40)
Passo 1
Hidden Singles
valore: 5.5
categoria doc: Getting_Started
3 in F2 is last in box
3 in J5 is last in row/column/box
4 in J9 is last in column/box
9 in E5 is last in row/box
Passo 2
Hidden Singles
valore: 5.2
categoria doc: Getting_Started
5 in E2 is last in column
Passo 3
Hidden Singles
valore: 4.9
categoria doc: Getting_Started
5 in F6 is last in row
Passo 4
Hidden Pair
valore: 47.3
categoria doc: Hidden_Candidates
Hidden Pair 4/7 in Box 8, on cells {G4|G6}
- removes 1/6/9 from G4
- removes 1/9 from G6
Passo 5
Naked Pair
valore: 23.4
categoria doc: Naked_Candidates
Naked Pair 4/7 on cells {G4|G6} means
- 7 can be removed from G2
- 7 can be removed from G3
Passo 6
Hidden Singles
valore: 4.6
categoria doc: Getting_Started
7 in B2 is last in column
Passo 7
Pointing Pairs
valore: 66
categoria doc: Intersection_Removal
Pair: between Box 5 and Row F:
- 1 can be removed from F9
Passo 8
Pointing Pairs
valore: 64.8
categoria doc: Intersection_Removal
Pair: between Box 5 and Row D:
- 2 can be removed from D7
- 2 can be removed from D8
- 2 can be removed from D9
Passo 9
Pointing Pairs
valore: 64.4
categoria doc: Intersection_Removal
Triple: between Box 5 and Row D:
- 4 can be removed from D1
Passo 10
Pointing Pairs
valore: 62.7
categoria doc: Intersection_Removal
Pair: between Box 4 and Col 1:
- 6 can be removed from A1
- 6 can be removed from B1
- 6 can be removed from H1
- 6 can be removed from J1
Passo 11
Pointing Pairs
valore: 61.9
categoria doc: Intersection_Removal
Pair: between Box 8 and Row J:
- 9 can be removed from J1
- 9 can be removed from J7
Passo 12
Hidden Unique Rectangle
valore: 409.9
categoria doc: Hidden_Unique_Rectangles
Type 2: removing 4 at D4 because of DG46 and one strong link on 7 between G6 and D6
Passo 13
Hidden Pair
valore: 40.4
categoria doc: Hidden_Candidates
Hidden Pair 2/4 in Row D, on cells {D5|D6}
- removes 8 from D5
- removes 7 from D6
Passo 14
Hidden Singles
valore: 4
categoria doc: Getting_Started
7 in G6 is last in column
Passo 15
Naked Singles
valore: 2
categoria doc: Getting_Started
Last candidate 4 in G4 changed to solution
Passo 16
Aligned Pair Exclusion
valore: 543.1
categoria doc: Aligned_Pair_Exclusion
Some solution combinations in the two gray cells would empty at least one of the coloured cells. Removing those combinations create eliminations in the gray cells.
Pair H3 / J3 reduced from 1/5/6/7->1/6/7 and 1/5/6/8->1/5/6/8
- Pair 5/8 found in ALS {J1}
- Combinations of 1/3/4/5/6 found in ALS {A3,B3,C3,G3}
Passo 17
Grouped X-Cycle
valore: 423.7
categoria doc: Grouped_X_Cycles
X-CYCLE on 9 ((w.Groups) Discontinuous Alternating Nice Loop, length 6):
+9[A9]-9[H9]+9[H1]-9[B1]+9[B7|B9]-9[A9]
- Contradiction: When A9 is set to 9 the chain implies it cannot be 9 - it can be removed
Passo 18
Forcing Nets
valore: 150.8
categoria doc: Forcing_Nets
If D7 is not 5 then all 3s in Box 1 are removed so D7 must be 5
Depth: 4 len: 10
-5[D7]+5[J7]-5[J3]+5[A3]-3[A3]
-5[D7]+5[D8]-3[D8]+3[C8]-3[C3]
Last candidate 5 in D7 changed to solution
Passo 19
Hidden Singles
valore: 3.7
categoria doc: Getting_Started
5 in H8 is last in column/box
Passo 20
Hidden Pair
valore: 35.5
categoria doc: Hidden_Candidates
Hidden Pair 5/8 in Box 7, on cells {J1|J3}
- removes 1/6 from J3
Passo 21
Forcing Nets
valore: 173.3
categoria doc: Forcing_Nets
If A7 is not 7 then both candidates in H5 are ON so A7 must be 7
Depth: 5 len: 12
-7[A7]+7[E7]-7[E3]+7[H3]-1[H3]+1[H5]
-7[A7]+7[A9]-7[F9]+6[F9]-6[H9]+6[H5]
Last candidate 7 in A7 changed to solution
Passo 22
Forcing Nets
valore: 201.4
categoria doc: Forcing_Nets
If J3 is not 8 then all candidates in G2 are removed so J3 must be 8
Depth: 6 len: 14
-8[J3]+8[E3]-8[E8]+2[E8]-2[G8]+6[G8]-6[G2]
-8[J3]+8[E3]-7[E3]+7[H3]-7[H1]+9[H1]-9[G2]
Last candidate 8 in J3 changed to solution
Passo 23
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 5 in J1 changed to solution
Passo 24
Hidden Singles
valore: 3.2
categoria doc: Getting_Started
5 in A3 is last in row/column/box
Passo 25
Hidden Singles
valore: 3
categoria doc: Getting_Started
3 in A9 is last in row
3 in C3 is last in column/box
Passo 26
Hidden Singles
valore: 2.8
categoria doc: Getting_Started
3 in D8 is last in row/column/box
4 in C6 is last in row
Passo 27
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 2 in D6 changed to solution
Passo 28
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 4 in D5 changed to solution
Passo 29
Naked Pair
valore: 12.5
categoria doc: Naked_Candidates
Naked Pair 6/7 on cells {D9|F9} means
- 6 can be removed from B9
- 7 can be removed from E9
- 6 can be removed from H9
Passo 30
Hidden Pair
valore: 24.8
categoria doc: Hidden_Candidates
Hidden Pair 4/7 in Row E, on cells {E1|E3}
- removes 8 from E1
Passo 31
Naked Pair
valore: 12.1
categoria doc: Naked_Candidates
Naked Pair 4/7 on cells {E1|E3} means
- 7 can be removed from D1
- 7 can be removed from F1
Passo 32
Line/Unit Reduction
valore: 47.3
categoria doc: Intersection_Removal
Line/Box Reduction: 2s in box 3 remove the following in the same box:
- 2 can be removed from B7
- 2 can be removed from B9
Last candidate 9 in B9 changed to solution
Passo 33
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 1 in H9 changed to solution
Passo 34
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 2 in E9 changed to solution
Last candidate 6 in H5 changed to solution
Last candidate 6 in J7 changed to solution
Passo 35
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 8 in B7 changed to solution
Last candidate 8 in E8 changed to solution
Last candidate 2 in G8 changed to solution
Last candidate 7 in H3 changed to solution
Passo 36
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 2 in B5 changed to solution
Last candidate 2 in C7 changed to solution
Last candidate 6 in C8 changed to solution
Last candidate 4 in E3 changed to solution
Last candidate 1 in E7 changed to solution
Last candidate 9 in G7 changed to solution
Last candidate 9 in H1 changed to solution
Passo 37
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 2 in A1 changed to solution
Last candidate 1 in A5 changed to solution
Last candidate 4 in B1 changed to solution
Last candidate 6 in B3 changed to solution
Last candidate 9 in C2 changed to solution
Last candidate 7 in E1 changed to solution
Last candidate 6 in G2 changed to solution
Passo 38
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 9 in A6 changed to solution
Last candidate 8 in C4 changed to solution
Last candidate 8 in F5 changed to solution
Last candidate 1 in G3 changed to solution
Passo 39
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 6 in A4 changed to solution
Last candidate 7 in D4 changed to solution
Last candidate 6 in F1 changed to solution
Last candidate 1 in J6 changed to solution
Passo 40
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 8 in D1 changed to solution
Last candidate 6 in D9 changed to solution
Last candidate 1 in F4 changed to solution
Last candidate 7 in F9 changed to solution
Last candidate 9 in J4 changed to solution