Passi risolutivi (30)
Passo 1
Hidden Singles
valore: 5.7
categoria doc: Getting_Started
2 in D3 is last in column/box
2 in E8 is last in row
4 in A6 is last in row/box
4 in F8 is last in column/box
7 in C1 is last in column/box
8 in E2 is last in row
Passo 2
Hidden Singles
valore: 4.8
categoria doc: Getting_Started
4 in D2 is last in row/box
4 in J3 is last in column
6 in F7 is last in row/box
6 in G1 is last in column
Passo 3
Hidden Singles
valore: 4.4
categoria doc: Getting_Started
4 in G4 is last in row/column/box
6 in H5 is last in row/box
Passo 4
Hidden Singles
valore: 3.9
categoria doc: Getting_Started
2 in C5 is last in column
2 in G7 is last in row
2 in H4 is last in box
6 in A2 is last in row
7 in J5 is last in column/box
Passo 5
Hidden Singles
valore: 3.5
categoria doc: Getting_Started
5 in B5 is last in column/box
7 in H8 is last in column
Passo 6
Naked Pair
valore: 16.2
categoria doc: Naked_Candidates
Naked Pair 3/9 on cells {H7|J8} means
- 3 can be removed from G8
- 3 can be removed from G9
- 3/9 can be removed from J7
Last candidate 1 in G8 changed to solution
Passo 7
Hidden Singles
valore: 3
categoria doc: Getting_Started
1 in C9 is last in column/box
Passo 8
Line/Unit Reduction
valore: 58.3
categoria doc: Intersection_Removal
Line/Box Reduction: 1s in box 4 remove the following in the same box:
- 1 can be removed from F3
Passo 9
Chute Remote Pair
valore: 72.2
categoria doc: Chute_Remote_Pairs
8 cannot be set in the yellow cells {D6,E6,F6} and with the Remote Pair in A5 and J4 it means:
- 3 can be removed from C4
Passo 10
Y-Wing
valore: 114.4
categoria doc: Y_Wing_Strategy
Y-Wing pattern. Hinge: J4 (3/8), wings C4 J8, therefore
- 9 can be removed from C8
Passo 11
Rectangle Elimination
valore: 70.8
categoria doc: Rectangle_Elimination
If +3[J1] then -3[J4] forcing +3[F4] which removes all 3s from Box 4, so J1 cannot be 3
Passo 12
Line/Unit Reduction
valore: 56.1
categoria doc: Intersection_Removal
Line/Box Reduction: 3s in box 4 remove the following in the same box:
- 3 can be removed from F3
Passo 13
X-Cycle
valore: 208.4
categoria doc: X_Cycles
X-CYCLE on 8 (Discontinuous Alternating Nice Loop, length 8):
+8[A5]-8[A9]+8[G9]-8[J7]+8[J4]-8[F4]+8[F5]-8[A5]
- Contradiction: When A5 is set to 8 the chain implies it cannot be 8 - it can be removed
Last candidate 3 in A5 changed to solution
Passo 14
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 1 in D5 changed to solution
Passo 15
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 8 in F5 changed to solution
Passo 16
Hidden Singles
valore: 2.3
categoria doc: Getting_Started
1 in F1 is last in row/column/box
Passo 17
Line/Unit Reduction
valore: 45.7
categoria doc: Intersection_Removal
Line/Box Reduction: 3s in box 6 remove the following in the same box:
- 3 can be removed from D7
Passo 18
X-Wing
valore: 67.7
categoria doc: X_Wing_Strategy
(Row->Col) 5 taken off D9, based on DJ17
Passo 19
Chute Remote Pair
valore: 55
categoria doc: Chute_Remote_Pairs
3 cannot be set in the yellow cells {F1,F2,F3} and with the Remote Pair in D6 and E9 it means:
- 9 can be removed from D7
- 9 can be removed from D9
Passo 20
Pointing Pairs
valore: 32.6
categoria doc: Intersection_Removal
Pair: between Box 6 and Col 9:
- 9 can be removed from A9
Passo 21
Rectangle Elimination
valore: 53.6
categoria doc: Rectangle_Elimination
If +3[B2] then -3[B7] forcing +3[H7] which removes all 3s from Box 7, so B2 cannot be 3
Passo 22
XY-Chain
valore: 180.1
categoria doc: XY_Chains
length=6. This XY-Chain is continuous and one value in each cell must be the solution, so all off-chain candidates can be removed
-3[D9]+7[D9]-7[D7]+5[D7]-5[J7]+8[J7]-8[J4]+3[J4]-3[F4]+9[F4]-9[D6]+3[D6]
- 3 can be removed from D1
Passo 23
Hidden Singles
valore: 2.1
categoria doc: Getting_Started
3 in E1 is last in column/box
Passo 24
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 9 in E9 changed to solution
Passo 25
Simple Colouring
valore: 90.8
categoria doc: Singles_Chains
(RULE 7): Two candidates 9[F3] and 9[H7] with the same color can see each end of a Strong Link {A3-A7}, all of that colour can be removed
Last candidate 8 in C4 changed to solution
Last candidate 3 in D6 changed to solution
Last candidate 5 in F3 changed to solution
Last candidate 3 in H7 changed to solution
Last candidate 5 in J1 changed to solution
Passo 26
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 9 in D1 changed to solution
Last candidate 7 in D9 changed to solution
Last candidate 9 in F4 changed to solution
Last candidate 3 in F9 changed to solution
Last candidate 3 in G2 changed to solution
Last candidate 8 in G6 changed to solution
Last candidate 3 in J4 changed to solution
Last candidate 8 in J7 changed to solution
Last candidate 9 in J8 changed to solution
Passo 27
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 8 in A9 changed to solution
Last candidate 9 in B7 changed to solution
Last candidate 5 in D7 changed to solution
Last candidate 5 in G9 changed to solution
Passo 28
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 9 in A3 changed to solution
Last candidate 7 in A7 changed to solution
Last candidate 1 in B2 changed to solution
Last candidate 6 in B6 changed to solution
Passo 29
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 3 in B8 changed to solution
Last candidate 5 in C2 changed to solution
Last candidate 3 in C3 changed to solution
Last candidate 9 in C6 changed to solution
Last candidate 9 in H2 changed to solution
Last candidate 1 in H3 changed to solution
Passo 30
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 8 in B3 changed to solution
Last candidate 6 in C8 changed to solution