Passi risolutivi (42)
Passo 1
Hidden Singles
valore: 6.2
categoria doc: Getting_Started
3 in D5 is last in box
5 in A5 is last in column/box
8 in A1 is last in column
8 in F3 is last in row/box
Passo 2
Hidden Pair
valore: 55.6
categoria doc: Hidden_Candidates
Hidden Pair 1/4 in Col 2, on cells {D2|J2}
- removes 6/7 from D2
- removes 2/6/9 from J2
Passo 3
Hidden Pair
valore: 54.2
categoria doc: Hidden_Candidates
Hidden Pair 5/9 in Box 4, on cells {E1|E3}
- removes 4/6 from E1
- removes 1/6/7 from E3
Passo 4
Hidden Singles
valore: 5.3
categoria doc: Getting_Started
1 in E7 is last in row
Passo 5
Hidden Singles
valore: 5
categoria doc: Getting_Started
1 in A8 is last in column/box
4 in E9 is last in row
Passo 6
Hidden Singles
valore: 4.7
categoria doc: Getting_Started
7 in A9 is last in row/box
Passo 7
Pointing Pairs
valore: 68.5
categoria doc: Intersection_Removal
Pair: between Box 1 and Col 3:
- 3 can be removed from H3
- 3 can be removed from J3
Passo 8
Hidden Singles
valore: 4.5
categoria doc: Getting_Started
3 in H1 is last in row
Passo 9
W-Wing
valore: 110.7
categoria doc: W_Wings
W-Wing (single). Either there is a 6 in C2 or in D7. They are connected through 2 in A2/A7, therefore
- 6 can be removed from C7
Passo 10
W-Wing
valore: 110
categoria doc: W_Wings
W-Wing (single). Either there is a 6 in C2 or in H8. They are connected through 2 in C9/J9, therefore
- 6 can be removed from H2
Passo 11
Rectangle Elimination
valore: 109.4
categoria doc: Rectangle_Elimination
If +8[C7] then -8[C4] forcing +8[J4] which removes all 8s from Box 9, so C7 cannot be 8
Passo 12
Hidden Triple
valore: 104.5
categoria doc: Hidden_Candidates
Hidden Triple 4/8/9 in Col 7, on cells {B7|G7|H7}
- removes 3/6 from B7
- removes 2/5/6 from G7
- removes 2/6 from H7
Passo 13
Rectangle Elimination
valore: 103.9
categoria doc: Rectangle_Elimination
If +9[H5] then -9[H2] forcing +9[A2] which removes all 9s from Box 2, so H5 cannot be 9
Passo 14
X-Cycle
valore: 309.5
categoria doc: X_Cycles
X-CYCLE Rule 3 (Discontinuous Alternating Nice Loop, length 8):
+9[G5]-9[G7]+9[H7]-9[H2]+9[A2]-9[B3]+9[B5]-9[G5]
- Contradiction: When G5 is set to 9 the chain implies it cannot be 9 - it can be removed
Passo 15
Aligned Pair Exclusion
valore: 573.9
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 A2 / C4 reduced from 2/6/9->2/6/9 and 1/3/6/8->1/6/8
- Combinations of 2/3/6 found in ALS {C2,C3}
Note: some ALSs share cells and cannot be fully colour indicated
Passo 16
Aligned Pair Exclusion
valore: 570
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 A2 / C6 reduced from 2/6/9->2/6/9 and 1/3/6->1/6
- Combinations of 2/3/6 found in ALS {C2,C3}
Note: some ALSs share cells and cannot be fully colour indicated
Passo 17
Pointing Pairs
valore: 60.7
categoria doc: Intersection_Removal
Pair: between Box 2 and Row A:
- 3 can be removed from A7
Passo 18
Naked Pair
valore: 19.9
categoria doc: Naked_Candidates
Naked Pair 2/6 on cells {A7|D7} means
- 2 can be removed from C7
- 6 can be removed from F7
Passo 19
Chute Remote Pair
valore: 99
categoria doc: Chute_Remote_Pairs
2 cannot be set in the yellow cells {D9,E9,F9} and with the Remote Pair in A7 and H8 it means:
- 6 can be removed from B8
Passo 20
Rectangle Elimination
valore: 98.3
categoria doc: Rectangle_Elimination
If +6[A2] then -6[A7] forcing +6[D7] which removes all 6s from Box 4, so A2 cannot be 6
Passo 21
XY-Chain
valore: 368.5
categoria doc: XY_Chains
length=7, chain ends: B8 and F7
This proves 3 is the solution at one or possibly both ends of the chain
-3[B8]+4[B8]-4[B7]+8[B7]-8[B9]+6[B9]-6[A7]+2[A7]-2[D7]+6[D7]-6[F9]+5[F9]-5[F7]+3[F7]
- 3 can be removed from C7
- 3 can be removed from F8
Last candidate 5 in C7 changed to solution
Passo 22
Naked Singles
valore: 1.9
categoria doc: Getting_Started
Last candidate 3 in F7 changed to solution
Passo 23
Hidden Singles
valore: 3.7
categoria doc: Getting_Started
3 in B8 is last in column/box
3 in C3 is last in row
Passo 24
Hidden Singles
valore: 3.6
categoria doc: Getting_Started
4 in B7 is last in row/box
Passo 25
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 9 in G7 changed to solution
Passo 26
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 8 in H7 changed to solution
Passo 27
Hidden Pair
valore: 32.2
categoria doc: Hidden_Candidates
Hidden Pair 8/9 in Col 5, on cells {B5|J5}
- removes 6 from B5
- removes 2/6 from J5
Passo 28
Hidden Pair
valore: 31.1
categoria doc: Hidden_Candidates
Hidden Pair 3/9 in Col 6, on cells {A6|J6}
- removes 6 from A6
- removes 1/2/6 from J6
Passo 29
Pointing Pairs
valore: 46.2
categoria doc: Intersection_Removal
Pair: between Box 1 and Col 2:
- 2 can be removed from H2
Passo 30
Pointing Pairs
valore: 45.4
categoria doc: Intersection_Removal
Pair: between Box 8 and Row J:
- 9 can be removed from J1
- 9 can be removed from J3
Passo 31
Hidden Singles
valore: 3
categoria doc: Getting_Started
9 in E1 is last in column
Passo 32
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 5 in E3 changed to solution
Passo 33
Hidden Pair
valore: 27.8
categoria doc: Hidden_Candidates
Hidden Pair 4/5 in Row G, on cells {G1|G8}
- removes 6 from G1
- removes 2/6 from G8
Passo 34
Hidden Triple
valore: 68.1
categoria doc: Hidden_Candidates
Hidden Triple 3/8/9 in Box 8, on cells {J4|J5|J6}
- removes 1/6 from J4
Passo 35
Pointing Pairs
valore: 40.4
categoria doc: Intersection_Removal
Pair: between Box 8 and Row G:
- 1 can be removed from G3
Passo 36
Chute Remote Pair
valore: 66
categoria doc: Chute_Remote_Pairs
6 cannot be set in the yellow cells {B4,B5,B6} and with the Remote Pair in A7 and C2 it means:
- 2 can be removed from A2
- 2 can be removed from C9
Last candidate 9 in A2 changed to solution
Passo 37
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 3 in A6 changed to solution
Last candidate 6 in B3 changed to solution
Last candidate 7 in H2 changed to solution
Passo 38
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 6 in A4 changed to solution
Last candidate 8 in B9 changed to solution
Last candidate 2 in C2 changed to solution
Last candidate 6 in F2 changed to solution
Last candidate 2 in G3 changed to solution
Last candidate 9 in J6 changed to solution
Passo 39
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 2 in A7 changed to solution
Last candidate 9 in B5 changed to solution
Last candidate 1 in C6 changed to solution
Last candidate 6 in C9 changed to solution
Last candidate 4 in D1 changed to solution
Last candidate 7 in E4 changed to solution
Last candidate 5 in F9 changed to solution
Last candidate 9 in H3 changed to solution
Last candidate 1 in J3 changed to solution
Last candidate 8 in J5 changed to solution
Passo 40
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 8 in C4 changed to solution
Last candidate 1 in D2 changed to solution
Last candidate 7 in D3 changed to solution
Last candidate 6 in D7 changed to solution
Last candidate 7 in F8 changed to solution
Last candidate 5 in G1 changed to solution
Last candidate 1 in G4 changed to solution
Last candidate 6 in G6 changed to solution
Last candidate 4 in J2 changed to solution
Last candidate 3 in J4 changed to solution
Last candidate 2 in J9 changed to solution
Passo 41
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 2 in D8 changed to solution
Last candidate 2 in E6 changed to solution
Last candidate 7 in G5 changed to solution
Last candidate 4 in G8 changed to solution
Last candidate 2 in H5 changed to solution
Last candidate 6 in H8 changed to solution
Last candidate 6 in J1 changed to solution
Passo 42
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 6 in E5 changed to solution
Last candidate 5 in J8 changed to solution