Passi risolutivi (49)
Passo 1
Hidden Singles
valore: 6.2
categoria doc: Getting_Started
3 in G5 is last in column
4 in F6 is last in row/box
Passo 2
Hidden Singles
valore: 5.9
categoria doc: Getting_Started
5 in A5 is last in column
Passo 3
Hidden Singles
valore: 5.6
categoria doc: Getting_Started
4 in A7 is last in row
4 in C5 is last in column/box
5 in B3 is last in row/column/box
Passo 4
Hidden Singles
valore: 5.2
categoria doc: Getting_Started
4 in B1 is last in row/column/box
4 in H9 is last in row/column/box
Passo 5
Hidden Pair
valore: 50.1
categoria doc: Hidden_Candidates
Hidden Pair 5/8 in Row F, on cells {F4|F8}
- removes 2/3/9 from F4
- removes 2 from F8
Passo 6
Hidden Singles
valore: 4.9
categoria doc: Getting_Started
3 in D4 is last in column/box
Passo 7
Pointing Pairs
valore: 71.8
categoria doc: Intersection_Removal
Pair: between Box 6 and Row D:
- 2 can be removed from D2
- 2 can be removed from D6
Passo 8
Pointing Pairs
valore: 71
categoria doc: Intersection_Removal
Pair: between Box 5 and Row E:
- 2 can be removed from E1
- 2 can be removed from E3
Passo 9
Pointing Pairs
valore: 70.2
categoria doc: Intersection_Removal
Pair: between Box 7 and Row J:
- 7 can be removed from J7
- 7 can be removed from J8
Passo 10
Line/Unit Reduction
valore: 91.9
categoria doc: Intersection_Removal
Line/Box Reduction: 9s in box 4 remove the following in the same box:
- 9 can be removed from D2
- 9 can be removed from E1
- 9 can be removed from E3
Passo 11
X-Wing
valore: 136.2
categoria doc: X_Wing_Strategy
(Col->Row) 5 taken off G4, based on FH48
(Col->Row) 5 taken off D8, based on FH48
Passo 12
Rectangle Elimination
valore: 112.8
categoria doc: Rectangle_Elimination
If +1[C6] then -1[C1] forcing +1[E1] which removes all 1s from Box 5, so C6 cannot be 1
Passo 13
Rectangle Elimination
valore: 112.1
categoria doc: Rectangle_Elimination
If +6[G4] then -6[A4] forcing +6[A8] which removes all 6s from Box 9, so G4 cannot be 6
Passo 14
Rectangle Elimination
valore: 111.4
categoria doc: Rectangle_Elimination
If +8[J8] then -8[J5] forcing +8[E5] which removes all 8s from Box 6, so J8 cannot be 8
Passo 15
Aligned Pair Exclusion
valore: 620.1
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 2/3/6/8/9->2/3/6/8/9 and 2/6/7/8/9->6/7/8/9
- Pair 6/7 found in ALS {E3}
- Pair 2/6 found in ALS {G1}
- Combinations of 2/3/8/9 found in ALS {A3,C3,F3}
Passo 16
Forcing Nets
valore: 218.7
categoria doc: Forcing_Nets
If D9 is not 5 then candidates 8 in Box 8 are both ON so D9 must be 5
Depth: 5
len: 12
-5[D9]+5[D6]-5[F4]+8[F4]-8[G4]+8[G6]
-5[D9]+5[D6]-5[F4]+8[F4]-8[E5]+8[J5]
Last candidate 5 in D9 changed to solution
Passo 17
Naked Singles
valore: 2
categoria doc: Getting_Started
Last candidate 8 in F8 changed to solution
Passo 18
Naked Singles
valore: 2
categoria doc: Getting_Started
Last candidate 5 in F4 changed to solution
Passo 19
Hidden Singles
valore: 3.9
categoria doc: Getting_Started
5 in G6 is last in row/column/box
5 in H8 is last in row/column/box
Passo 20
Rectangle Elimination
valore: 94.9
categoria doc: Rectangle_Elimination
If +6[J8] then -6[A8] forcing +6[A4] which removes all 6s from Box 8, so J8 cannot be 6
Passo 21
Hidden Singles
valore: 3.7
categoria doc: Getting_Started
6 in G9 is last in box
Passo 22
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 2 in G1 changed to solution
Passo 23
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 8 in G4 changed to solution
Passo 24
Naked Singles
valore: 1.5
categoria doc: Getting_Started
Last candidate 7 in G7 changed to solution
Last candidate 9 in J5 changed to solution
Passo 25
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 8 in E5 changed to solution
Passo 26
Hidden Singles
valore: 2.7
categoria doc: Getting_Started
2 in C3 is last in row/box
2 in F2 is last in column
Passo 27
Pointing Pairs
valore: 39.2
categoria doc: Intersection_Removal
Pair: between Box 9 and Col 7:
- 8 can be removed from B7
Passo 28
Line/Unit Reduction
valore: 51.7
categoria doc: Intersection_Removal
Line/Box Reduction: 8s in box 1 remove the following in the same box:
- 8 can be removed from B2
Passo 29
XY-Chain
valore: 166.3
categoria doc: XY_Chains
length=4, chain ends: B7 and D2
This proves 1 is the solution at one or possibly both ends of the chain
-1[B7]+9[B7]-9[D7]+2[D7]-2[D8]+7[D8]-7[D2]+1[D2]
- 1 can be removed from B2
Passo 30
XY-Chain
valore: 235.2
categoria doc: XY_Chains
length=7, chain ends: H7 and J2
This proves 8 is the solution at one or possibly both ends of the chain
-8[H7]+2[H7]-2[D7]+9[D7]-9[E9]+7[E9]-7[E3]+6[E3]-6[E1]+1[E1]-1[D2]+7[D2]-7[J2]+8[J2]
- 8 can be removed from H2
- 8 can be removed from H3
- 8 can be removed from J7
Passo 31
Hidden Singles
valore: 2.4
categoria doc: Getting_Started
8 in H7 is last in row/column/box
Passo 32
Hidden Singles
valore: 2.4
categoria doc: Getting_Started
2 in H4 is last in row
Passo 33
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 6 in J6 changed to solution
Passo 34
Hidden Singles
valore: 2.2
categoria doc: Getting_Started
2 in E6 is last in row/column/box
Passo 35
Naked Pair
valore: 10.6
categoria doc: Naked_Candidates
Naked Pair 3/9 on cells {B2|H2} means
- 9 can be removed from A2
Passo 36
Chute Remote Pair
valore: 52.3
categoria doc: Chute_Remote_Pairs
3 cannot be set in the yellow cells {A3,B3,C3} and with the Remote Pair in F1 and H2 it means:
- 9 can be removed from H1
Passo 37
Rectangle Elimination
valore: 51.6
categoria doc: Rectangle_Elimination
If +1[A4] then -1[A2] forcing +1[D2] which removes all 1s from Box 5, so A4 cannot be 1
Passo 38
Y-Wing
valore: 80.3
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: A8 (1/6), wings A4 B7, therefore
- 9 can be removed from B4
- 9 can be removed from B6
Passo 39
Y-Wing
valore: 79.2
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: B6 (1/8), wings B7 C6, therefore
- 9 can be removed from C9
Passo 40
Pointing Pairs
valore: 29.3
categoria doc: Intersection_Removal
Pair: between Box 3 and Row B:
- 9 can be removed from B2
Last candidate 3 in B2 changed to solution
Passo 41
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 9 in H2 changed to solution
Passo 42
Hidden Singles
valore: 1.7
categoria doc: Getting_Started
3 in C8 is last in row/column/box
Passo 43
X-Wing
valore: 50.3
categoria doc: X_Wing_Strategy
(Col->Row) 1 taken off B4, based on CE14
Passo 44
Y-Wing
valore: 66
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: C6 (8/9), wings B6 C1, therefore
- 1 can be removed from C4
Passo 45
Hidden Singles
valore: 1.6
categoria doc: Getting_Started
1 in B6 is last in box
1 in C1 is last in row
1 in E4 is last in column
Passo 46
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 8 in A2 changed to solution
Last candidate 9 in B7 changed to solution
Last candidate 9 in D6 changed to solution
Last candidate 6 in E1 changed to solution
Passo 47
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 9 in A3 changed to solution
Last candidate 8 in C6 changed to solution
Last candidate 2 in D7 changed to solution
Last candidate 7 in E3 changed to solution
Last candidate 3 in H1 changed to solution
Last candidate 7 in J2 changed to solution
Passo 48
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 6 in A4 changed to solution
Last candidate 7 in C9 changed to solution
Last candidate 1 in D2 changed to solution
Last candidate 7 in D8 changed to solution
Last candidate 9 in E9 changed to solution
Last candidate 9 in F1 changed to solution
Last candidate 3 in F3 changed to solution
Last candidate 6 in H3 changed to solution
Last candidate 8 in J3 changed to solution
Last candidate 1 in J7 changed to solution
Passo 49
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 1 in A8 changed to solution
Last candidate 7 in B4 changed to solution
Last candidate 6 in B8 changed to solution
Last candidate 8 in B9 changed to solution
Last candidate 9 in C4 changed to solution
Last candidate 2 in J8 changed to solution