Passi risolutivi (46)
Passo 1
Hidden Singles
valore: 5.9
categoria doc: Getting_Started
8 in A9 is last in column
8 in H7 is last in row/box
Passo 2
Hidden Singles
valore: 5.6
categoria doc: Getting_Started
5 in H3 is last in row
5 in J7 is last in column/box
Passo 3
Hidden Singles
valore: 5.3
categoria doc: Getting_Started
9 in H8 is last in row
Passo 4
Naked Pair
valore: 24.5
categoria doc: Naked_Candidates
Naked Pair 5/9 on cells {D1|D2} means
- 9 can be removed from D3
- 5 can be removed from D4
- 5/9 can be removed from D5
- 9 can be removed from D6
- 9 can be removed from D9
- 9 can be removed from E2
- 9 can be removed from E3
- 5/9 can be removed from F1
Last candidate 1 in E2 changed to solution
Passo 5
Naked Singles
valore: 2.2
categoria doc: Getting_Started
Last candidate 2 in F1 changed to solution
Passo 6
Naked Pair
valore: 22
categoria doc: Naked_Candidates
Naked Pair 5/9 on cells {B2|D2} means
- 5/9 can be removed from A2
- 9 can be removed from J2
Passo 7
Hidden Pair
valore: 43.2
categoria doc: Hidden_Candidates
Hidden Pair 1/6 in Row B, on cells {B3|B7}
- removes 2/9 from B3
- removes 9 from B7
Passo 8
Pointing Pairs
valore: 64.4
categoria doc: Intersection_Removal
Pair: between Box 3 and Col 7:
- 1 can be removed from G7
Passo 9
Pointing Pairs
valore: 63.5
categoria doc: Intersection_Removal
Pair: between Box 6 and Row E:
- 4 can be removed from E5
- 4 can be removed from E6
Passo 10
Line/Unit Reduction
valore: 83.6
categoria doc: Intersection_Removal
Line/Box Reduction: 1s in box 8 remove the following in the same box:
- 1 can be removed from G5
- 1 can be removed from J6
Passo 11
Line/Unit Reduction
valore: 82
categoria doc: Intersection_Removal
Line/Box Reduction: 2s in box 2 remove the following in the same box:
- 2 can be removed from A4
- 2 can be removed from A6
- 2 can be removed from C5
Passo 12
Line/Unit Reduction
valore: 78.7
categoria doc: Intersection_Removal
Line/Box Reduction: 3s in box 5 remove the following in the same box:
- 3 can be removed from D4
- 3 can be removed from D6
- 3 can be removed from E4
- 3 can be removed from E6
- 3 can be removed from F4
- 3 can be removed from F6
Passo 13
Line/Unit Reduction
valore: 77.6
categoria doc: Intersection_Removal
Line/Box Reduction: 6s in box 8 remove the following in the same box:
- 6 can be removed from J4
- 6 can be removed from J6
Passo 14
Line/Unit Reduction
valore: 75.9
categoria doc: Intersection_Removal
Line/Box Reduction: 7s in box 8 remove the following in the same box:
- 7 can be removed from G5
- 7 can be removed from J4
- 7 can be removed from J6
Passo 15
Chute Remote Pair
valore: 92.8
categoria doc: Chute_Remote_Pairs
6 cannot be set in the yellow cells {A8,B8,C8} and with the Remote Pair in D9 and G7 it means:
- 7 can be removed from F7
- 7 can be removed from G9
- 7 can be removed from J9
Passo 16
Hidden Singles
valore: 3.7
categoria doc: Getting_Started
7 in G7 is last in column/box
Passo 17
Naked Pair
valore: 17.6
categoria doc: Naked_Candidates
Naked Pair 1/6 on cells {B3|G3} means
- 1 can be removed from A3
- 6 can be removed from C3
- 1/6 can be removed from J3
Passo 18
Hidden Unique Rectangle
valore: 349.4
categoria doc: Hidden_Unique_Rectangles
Type 1: removing 7 at F6 because of FH56 and two strong links on 1
Passo 19
WXYZ Wing
valore: 346.6
categoria doc: WXYZ_Wing
WXYZ Wing Type 1: The four cells {A3,A2,A8,J3} contain in total 2/4/7/9 with the hinge on A3.
Non-Restricted candidate 7 determines the 'wing' cells (in yellow) and one of those 7s must be true. Therefore...
- 7 can be removed from C3
Passo 20
Hidden Singles
valore: 3.4
categoria doc: Getting_Started
7 in C5 is last in row
Passo 21
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 1 in H5 changed to solution
Passo 22
Hidden Singles
valore: 3.2
categoria doc: Getting_Started
1 in F6 is last in row/column/box
Passo 23
XY-Chain
valore: 295.3
categoria doc: XY_Chains
length=7, chain ends: D5 and F7
This proves 3 is the solution at one or possibly both ends of the chain
-3[D5]+4[D5]-4[G5]+2[G5]-2[J4]+3[J4]-3[A4]+5[A4]-5[F4]+7[F4]-7[F9]+9[F9]-9[F7]+3[F7]
- 3 can be removed from F5
Passo 24
Hidden Singles
valore: 3.1
categoria doc: Getting_Started
3 in F7 is last in row
Passo 25
XY-Chain
valore: 224.9
categoria doc: XY_Chains
length=5, chain ends: D9 and H4
This proves 6 is the solution at one or possibly both ends of the chain
-6[D9]+7[D9]-7[F9]+9[F9]-9[F5]+5[F5]-5[F4]+7[F4]-7[H4]+6[H4]
- 6 can be removed from D4
Passo 26
XY-Chain
valore: 277
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
-2[G5]+4[G5]-4[D5]+3[D5]-3[D3]+8[D3]-8[D4]+7[D4]-7[F4]+5[F4]-5[A4]+3[A4]-3[J4]+2[J4]
- 7 can be removed from D6
- 7 can be removed from H4
- 2 can be removed from J6
Last candidate 6 in H4 changed to solution
Passo 27
Naked Singles
valore: 1.4
categoria doc: Getting_Started
Last candidate 7 in H6 changed to solution
Passo 28
XY-Chain
valore: 180.6
categoria doc: XY_Chains
length=4, chain ends: A6 and J3
This proves 9 is the solution at one or possibly both ends of the chain
-9[A6]+3[A6]-3[J6]+4[J6]-4[J2]+7[J2]-7[J3]+9[J3]
- 9 can be removed from A3
Passo 29
Naked Triple
valore: 54.5
categoria doc: Naked_Candidates
Naked Triple 2/4/7 on cells {A2|A3|A8} means
- 4 can be removed from A1
- 4 can be removed from A7
Passo 30
XY-Chain
valore: 229.2
categoria doc: XY_Chains
length=6, chain ends: B6 and E4
This proves 2 is the solution at one or possibly both ends of the chain
-2[B6]+9[B6]-9[A6]+3[A6]-3[A4]+5[A4]-5[F4]+7[F4]-7[D4]+8[D4]-8[E4]+2[E4]
- 2 can be removed from E6
Passo 31
Hidden Singles
valore: 2.7
categoria doc: Getting_Started
2 in B6 is last in column
Passo 32
Naked Pair
valore: 12.9
categoria doc: Naked_Candidates
Naked Pair 5/9 on cells {B5|F5} means
- 9 can be removed from E5
Passo 33
XY-Chain
valore: 243.1
categoria doc: XY_Chains
length=7, chain ends: A2 and J6
This proves 4 is the solution at one or possibly both ends of the chain
-4[A2]+7[A2]-7[A3]+2[A3]-2[C3]+9[C3]-9[B2]+5[B2]-5[B5]+9[B5]-9[A6]+3[A6]-3[J6]+4[J6]
- 4 can be removed from J2
Last candidate 7 in J2 changed to solution
Passo 34
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 4 in A2 changed to solution
Last candidate 9 in J3 changed to solution
Passo 35
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 2 in A8 changed to solution
Last candidate 2 in C3 changed to solution
Passo 36
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 7 in A3 changed to solution
Last candidate 6 in J8 changed to solution
Passo 37
Naked Singles
valore: 1
categoria doc: Getting_Started
Last candidate 4 in E8 changed to solution
Passo 38
Hidden Singles
valore: 1.9
categoria doc: Getting_Started
4 in C7 is last in row/column/box
Passo 39
X-Wing
valore: 55.3
categoria doc: X_Wing_Strategy
(Row->Col) 9 taken off A1, based on AE67
Passo 40
Bi-value Universal Grave
valore: 53.6
categoria doc: BUG
BUG+1 found in G1, 1 must be the solution
All other incomplete cells contain two candidates apart from G1. Other candidates in G1 would lead to zero, two or more solutions so they can be removed.
Last candidate 1 in G1 changed to solution
Passo 41
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 5 in A1 changed to solution
Last candidate 6 in G3 changed to solution
Last candidate 2 in G9 changed to solution
Last candidate 4 in J1 changed to solution
Passo 42
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 3 in A4 changed to solution
Last candidate 9 in B2 changed to solution
Last candidate 1 in B3 changed to solution
Last candidate 9 in D1 changed to solution
Last candidate 4 in G5 changed to solution
Last candidate 3 in J6 changed to solution
Last candidate 1 in J9 changed to solution
Passo 43
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 9 in A6 changed to solution
Last candidate 5 in B5 changed to solution
Last candidate 6 in B7 changed to solution
Last candidate 6 in C1 changed to solution
Last candidate 5 in D2 changed to solution
Last candidate 3 in D5 changed to solution
Last candidate 2 in J4 changed to solution
Passo 44
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 1 in A7 changed to solution
Last candidate 9 in C9 changed to solution
Last candidate 8 in D3 changed to solution
Last candidate 8 in E4 changed to solution
Last candidate 2 in E5 changed to solution
Last candidate 6 in E6 changed to solution
Last candidate 9 in E7 changed to solution
Last candidate 9 in F5 changed to solution
Passo 45
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 7 in D4 changed to solution
Last candidate 4 in D6 changed to solution
Last candidate 3 in E3 changed to solution
Last candidate 7 in F9 changed to solution
Passo 46
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 6 in D9 changed to solution
Last candidate 5 in F4 changed to solution