Passi risolutivi (24)
Passo 1
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 3 in C2 changed to solution
Last candidate 2 in C4 changed to solution
Passo 2
Hidden Singles
valore: 4.7
categoria doc: Getting_Started
4 in D8 is last in column/box
5 in B6 is last in row
5 in C9 is last in column/box
5 in H2 is last in row/column/box
6 in A4 is last in row/column/box
7 in B3 is last in column/box
7 in F9 is last in row/box
9 in A1 is last in box
9 in F4 is last in box
Passo 3
Hidden Singles
valore: 3.6
categoria doc: Getting_Started
5 in D5 is last in row/column/box
7 in A8 is last in row/column/box
7 in J6 is last in row/column/box
Passo 4
Hidden Singles
valore: 3.5
categoria doc: Getting_Started
3 in B8 is last in column
Passo 5
Hidden Singles
valore: 3.3
categoria doc: Getting_Started
3 in J4 is last in column
Passo 6
Naked Pair
valore: 15.4
categoria doc: Naked_Candidates
Naked Pair 4/8 on cells {A2|B2} means
- 8 can be removed from G2
- 4/8 can be removed from J2
Passo 7
Hidden Pair
valore: 30
categoria doc: Hidden_Candidates
Hidden Pair 8/9 in Box 9, on cells {H7|J9}
- removes 1/2 from H7
- removes 2 from J9
Passo 8
Pointing Pairs
valore: 43.7
categoria doc: Intersection_Removal
Pair: between Box 5 and Col 5:
- 1 can be removed from A5
- 1 can be removed from G5
- 1 can be removed from J5
Passo 9
XY-Chain
valore: 216.6
categoria doc: XY_Chains
length=5, chain ends: D6 and H8
This proves 2 is the solution at one or possibly both ends of the chain
-2[D6]+3[D6]-3[A6]+1[A6]-1[B4]+4[B4]-4[H4]+1[H4]-1[H8]+2[H8]
- 2 can be removed from H6
Passo 10
XY-Chain
valore: 266.6
categoria doc: XY_Chains
length=7. This XY-Chain is continuous and one value in each cell must be the solution, so all off-chain candidates can be removed
-8[B7]+1[B7]-1[B4]+4[B4]-4[A5]+3[A5]-3[A6]+1[A6]-1[H6]+9[H6]-9[H7]+9[J9]-8[J9]+8[A9]-8[B7]
- 1 can be removed from G6
- 9 can be removed from H3
- 8 can be removed from A7
Passo 11
Pointing Pairs
valore: 41.3
categoria doc: Intersection_Removal
Pair: between Box 8 and Row H:
- 1 can be removed from H3
- 1 can be removed from H8
Last candidate 2 in H8 changed to solution
Passo 12
Y-Wing
valore: 104.5
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: A6 (1/3), wings A7 D6, therefore
- 2 can be removed from D7
Passo 13
XY-Chain
valore: 191.9
categoria doc: XY_Chains
length=5, chain ends: G5 and H3
This proves 8 is the solution at one or possibly both ends of the chain
-8[G5]+2[G5]-2[G6]+9[G6]-9[H6]+1[H6]-1[H4]+4[H4]-4[H3]+8[H3]
- 8 can be removed from G1
- 8 can be removed from G3
Passo 14
Hidden Singles
valore: 2.5
categoria doc: Getting_Started
8 in G5 is last in row
Passo 15
Rectangle Elimination
valore: 61.2
categoria doc: Rectangle_Elimination
If +2[J3] then -2[D3] forcing +2[D6] which removes all 2s from box 8, so J3 cannot be 2
Passo 16
XY-Chain
valore: 205.8
categoria doc: XY_Chains
length=6, chain ends: E9 and J5
This proves 2 is the solution at one or possibly both ends of the chain
-2[E9]+9[E9]-9[J9]+8[J9]-8[H7]+9[H7]-9[H6]+1[H6]-1[H4]+4[H4]-4[J5]+2[J5]
- 2 can be removed from E5
Passo 17
3D Medusa
valore: 189.3
categoria doc: 3D_Medusa
(RULE 5): Uncoloured candidate 4 in J3 can see coloured 4 elsewhere and an oppositely coloured 9 in its own cell. It can be removed.
(RULE 5): Uncoloured candidate 8 in D3 can see coloured 8 elsewhere and an oppositely coloured 2 in its own cell. It can be removed.
Passo 18
Hidden Singles
valore: 2.3
categoria doc: Getting_Started
8 in D1 is last in row/box
Passo 19
Hidden Singles
valore: 2.2
categoria doc: Getting_Started
6 in D7 is last in row
6 in F2 is last in box
Passo 20
Naked Pair
valore: 9.8
categoria doc: Naked_Candidates
Naked Pair 1/2 on cells {G2|J2} means
- 1/2 can be removed from G3
- 1 can be removed from J3
Passo 21
Chute Remote Pair
valore: 48.1
categoria doc: Chute_Remote_Pairs
2 cannot be set in the yellow cells {E4,E5,E6} and with the Remote Pair in D3 and F7 it means:
- 3 can be removed from F3
Passo 22
Y-Wing
valore: 75.9
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: G3 (3/9), wings D3 G6, therefore
- 2 can be removed from D6
Last candidate 3 in D6 changed to solution
Last candidate 1 in E5 changed to solution
Last candidate 2 in F5 changed to solution
Last candidate 3 in F7 changed to solution
Last candidate 4 in J5 changed to solution
Passo 23
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 3 in A5 changed to solution
Last candidate 1 in A6 changed to solution
Last candidate 2 in A7 changed to solution
Last candidate 8 in A9 changed to solution
Last candidate 4 in B4 changed to solution
Last candidate 1 in B7 changed to solution
Last candidate 2 in D3 changed to solution
Last candidate 9 in E7 changed to solution
Last candidate 2 in E9 changed to solution
Last candidate 1 in F3 changed to solution
Last candidate 1 in H4 changed to solution
Last candidate 9 in H6 changed to solution
Last candidate 8 in H7 changed to solution
Last candidate 6 in J1 changed to solution
Last candidate 1 in J8 changed to solution
Last candidate 9 in J9 changed to solution
Last candidate 4 in A2 changed to solution
Last candidate 8 in B2 changed to solution
Last candidate 3 in G1 changed to solution
Last candidate 9 in G3 changed to solution
Last candidate 2 in G6 changed to solution
Last candidate 6 in G8 changed to solution
Last candidate 4 in H3 changed to solution
Last candidate 2 in J2 changed to solution
Last candidate 8 in J3 changed to solution
Passo 24
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 4 in E1 changed to solution
Last candidate 3 in E3 changed to solution
Last candidate 1 in G2 changed to solution