Passi risolutivi (39)
Passo 1
Naked Singles
valore: 2
categoria doc: Getting_Started
Last candidate 1 in A4 changed to solution
Last candidate 4 in D8 changed to solution
Passo 2
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 5 in F8 changed to solution
Passo 3
Hidden Singles
valore: 5.2
categoria doc: Getting_Started
4 in G7 is last in row/column/box
7 in A5 is last in column/box
9 in F4 is last in column/box
Passo 4
Naked Singles
valore: 2.4
categoria doc: Getting_Started
Last candidate 8 in F2 changed to solution
Passo 5
Naked Singles
valore: 2.3
categoria doc: Getting_Started
Last candidate 1 in F7 changed to solution
Passo 6
Hidden Singles
valore: 4.4
categoria doc: Getting_Started
8 in B3 is last in row/column/box
8 in G9 is last in row
Passo 7
Naked Singles
valore: 2.1
categoria doc: Getting_Started
Last candidate 7 in E9 changed to solution
Passo 8
Naked Singles
valore: 2
categoria doc: Getting_Started
Last candidate 8 in D7 changed to solution
Last candidate 5 in E2 changed to solution
Passo 9
Naked Pair
valore: 19.4
categoria doc: Naked_Candidates
Naked Pair 1/6 on cells {D5|D6} means
- 6 can be removed from D3
- 6 can be removed from F5
Passo 10
Pointing Pairs
valore: 57.4
categoria doc: Intersection_Removal
Pair: between Box 3 and Col 7:
- 3 can be removed from H7
- 3 can be removed from J7
Passo 11
Pointing Pairs
valore: 56.1
categoria doc: Intersection_Removal
Pair: between Box 2 and Row B:
- 5 can be removed from B1
- 5 can be removed from B7
- 5 can be removed from B9
Passo 12
W-Wing
valore: 90.8
categoria doc: W_Wings
W-Wing (single). Either there is a 2 in E1 or in F5. They are connected through 4 in B1/B5, therefore
- 2 can be removed from E5
- 2 can be removed from E6
- 2 can be removed from F1
- 2 can be removed from F3
Last candidate 3 in E6 changed to solution
Passo 13
Hidden Singles
valore: 3.5
categoria doc: Getting_Started
2 in E1 is last in row/box
2 in F5 is last in row/box
Passo 14
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 5 in A1 changed to solution
Passo 15
Chute Remote Pair
valore: 76.3
categoria doc: Chute_Remote_Pairs
6 cannot be set in the yellow cells {D4,E4,F4} and with the Remote Pair in B6 and J5 it means:
- 5 can be removed from B5
- 5 can be removed from G6
- 5 can be removed from J6
Passo 16
Hidden Singles
valore: 3
categoria doc: Getting_Started
5 in B6 is last in row/column/box
5 in G3 is last in row
Passo 17
Rectangle Elimination
valore: 70.8
categoria doc: Rectangle_Elimination
If +9[C3] then -9[C8] forcing +9[H8] which removes all 9s from Box 7, so C3 cannot be 9
Passo 18
X-Cycle
valore: 210.5
categoria doc: X_Cycles
X-CYCLE Rule 3 (Discontinuous Alternating Nice Loop, length 8):
+9[C2]-9[C8]+9[H8]-9[J9]+9[J3]-9[D3]+9[D2]-9[C2]
- Contradiction: When C2 is set to 9 the chain implies it cannot be 9 - it can be removed
Passo 19
XY-Chain
valore: 236.2
categoria doc: XY_Chains
length=6, chain ends: A3 and J4
This proves 3 is the solution at one or possibly both ends of the chain
-3[A3]+2[A3]-2[A7]+3[A7]-3[B7]+6[B7]-6[B5]+4[B5]-4[C4]+6[C4]-6[J4]+3[J4]
- 3 can be removed from J3
Passo 20
Hidden Singles
valore: 2.8
categoria doc: Getting_Started
3 in J4 is last in row
Passo 21
3D Medusa
valore: 213.5
categoria doc: 3D_Medusa
(RULE 4): Uncoloured candidate 2 in C7 can see two different coloured candidates of 2 elsewhere.
Passo 22
W-Wing
valore: 66
categoria doc: W_Wings
W-Wing (single). Either there is a 5 in C7 or in J5. They are connected through 6 in C4/B5, therefore
- 5 can be removed from J7
Passo 23
Aligned Pair Exclusion
valore: 365.9
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 J7 / J9 reduced from 2/6/7->6/7 and 5/6/9->5/6/9
- Combinations of 2/3/9 found in ALS {G8,H8}
- Combinations of 2/5/6 found in ALS {J5,J6}
Passo 24
Hidden Singles
valore: 2.5
categoria doc: Getting_Started
2 in A7 is last in column
2 in G8 is last in box
2 in J6 is last in row
Passo 25
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 3 in A3 changed to solution
Last candidate 9 in C8 changed to solution
Passo 26
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 3 in H8 changed to solution
Passo 27
Hidden Singles
valore: 2
categoria doc: Getting_Started
2 in C3 is last in row/column/box
3 in B7 is last in row/column/box
3 in G2 is last in row/column/box
Passo 28
Hidden Singles
valore: 1.9
categoria doc: Getting_Started
4 in F3 is last in column
Passo 29
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 6 in F1 changed to solution
Passo 30
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 1 in G1 changed to solution
Passo 31
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 6 in G6 changed to solution
Passo 32
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 1 in D6 changed to solution
Last candidate 8 in H4 changed to solution
Last candidate 5 in J5 changed to solution
Passo 33
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 6 in D5 changed to solution
Last candidate 4 in E4 changed to solution
Last candidate 1 in H5 changed to solution
Passo 34
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 4 in B5 changed to solution
Last candidate 6 in C4 changed to solution
Last candidate 8 in E5 changed to solution
Passo 35
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 9 in B1 changed to solution
Last candidate 5 in C7 changed to solution
Passo 36
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 1 in B2 changed to solution
Last candidate 1 in C9 changed to solution
Last candidate 7 in H1 changed to solution
Passo 37
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 6 in B9 changed to solution
Last candidate 4 in C1 changed to solution
Last candidate 7 in C2 changed to solution
Last candidate 6 in H7 changed to solution
Passo 38
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 9 in D2 changed to solution
Last candidate 9 in H3 changed to solution
Last candidate 7 in J7 changed to solution
Last candidate 9 in J9 changed to solution
Passo 39
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 7 in D3 changed to solution
Last candidate 5 in H9 changed to solution
Last candidate 6 in J3 changed to solution