Passi risolutivi (46)
Passo 1
Hidden Singles
valore: 5.7
categoria doc: Getting_Started
3 in E2 is last in column
3 in G3 is last in row/box
6 in E9 is last in box
Passo 2
Hidden Singles
valore: 5.4
categoria doc: Getting_Started
6 in C7 is last in row
Passo 3
Naked Pair
valore: 26.1
categoria doc: Naked_Candidates
Naked Pair 1/7 on cells {C3|C6} means
- 1/7 can be removed from C5
- 1/7 can be removed from C9
Passo 4
Naked Pair
valore: 25.3
categoria doc: Naked_Candidates
Naked Pair 1/5 on cells {F1|F3} means
- 5 can be removed from E1
- 5 can be removed from F4
- 1/5 can be removed from F5
- 1 can be removed from F6
- 5 can be removed from F8
Passo 5
Naked Pair
valore: 25
categoria doc: Naked_Candidates
Naked Pair 2/9 on cells {F5|F8} means
- 9 can be removed from F4
- 2 can be removed from F6
Passo 6
Pointing Pairs
valore: 73.5
categoria doc: Intersection_Removal
Pair: between Box 6 and Col 8:
- 2 can be removed from A8
- 2 can be removed from B8
- 2 can be removed from H8
- 2 can be removed from J8
Passo 7
Pointing Pairs
valore: 72.6
categoria doc: Intersection_Removal
Pair: between Box 8 and Row J:
- 5 can be removed from J1
- 5 can be removed from J3
Passo 8
Pointing Pairs
valore: 71.8
categoria doc: Intersection_Removal
Pair: between Box 8 and Row J:
- 6 can be removed from J1
- 6 can be removed from J2
Passo 9
Rectangle Elimination
valore: 119
categoria doc: Rectangle_Elimination
If +9[D9] then -9[C9] forcing +9[C5] which removes all 9s from Box 5, so D9 cannot be 9
Last candidate 7 in D9 changed to solution
Passo 10
X-Cycle
valore: 269.1
categoria doc: X_Cycles
X-CYCLE on 9 (Discontinuous Alternating Nice Loop, length 6):
+9[A8]-9[C9]+9[C5]-9[F5]+9[F8]-9[A8]
- Contradiction: When A8 is set to 9 the chain implies it cannot be 9 - it can be removed
Passo 11
X-Cycle
valore: 267.4
categoria doc: X_Cycles
X-CYCLE on 9 (Discontinuous Alternating Nice Loop, length 6):
+9[B8]-9[C9]+9[C5]-9[F5]+9[F8]-9[B8]
- Contradiction: When B8 is set to 9 the chain implies it cannot be 9 - it can be removed
Passo 12
XY-Chain
valore: 376.5
categoria doc: XY_Chains
length=6, chain ends: D7 and G1
This proves 9 is the solution at one or possibly both ends of the chain
-9[D7]+5[D7]-5[E8]+2[E8]-2[F8]+9[F8]-9[F5]+2[F5]-2[G5]+4[G5]-4[G1]+9[G1]
- 9 can be removed from G7
Passo 13
Hidden Singles
valore: 4.4
categoria doc: Getting_Started
9 in G1 is last in row
Passo 14
Hidden Pair
valore: 41.5
categoria doc: Hidden_Candidates
Hidden Pair 1/9 in Box 9, on cells {J8|J9}
- removes 7/8 from J8
- removes 2/8 from J9
Passo 15
Pointing Pairs
valore: 61.5
categoria doc: Intersection_Removal
Pair: between Box 9 and Row H:
- 7 can be removed from H1
- 7 can be removed from H3
Passo 16
Pointing Pairs
valore: 60.7
categoria doc: Intersection_Removal
Pair: between Box 9 and Row H:
- 8 can be removed from H1
- 8 can be removed from H2
Passo 17
Sword-Fish
valore: 196.7
categoria doc: Sword_Fish_Strategy
(Col->Row) 9 taken off A5, SF=CFJ589
(Col->Row) 9 taken off D5, SF=CFJ589
(Col->Row) 9 taken off A9, SF=CFJ589
(Col->Row) 9 taken off B9, SF=CFJ589
Passo 18
XY-Chain
valore: 293
categoria doc: XY_Chains
length=5, chain ends: C5 and H9
This proves 8 is the solution at one or possibly both ends of the chain
-8[C5]+9[C5]-9[F5]+2[F5]-2[G5]+4[G5]-4[G7]+2[G7]-2[H9]+8[H9]
- 8 can be removed from C9
Last candidate 9 in C9 changed to solution
Passo 19
Naked Singles
valore: 1.8
categoria doc: Getting_Started
Last candidate 8 in C5 changed to solution
Last candidate 1 in J9 changed to solution
Passo 20
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 9 in J8 changed to solution
Passo 21
Naked Singles
valore: 1.7
categoria doc: Getting_Started
Last candidate 2 in F8 changed to solution
Passo 22
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 5 in E8 changed to solution
Last candidate 9 in F5 changed to solution
Passo 23
Naked Singles
valore: 1.6
categoria doc: Getting_Started
Last candidate 9 in D7 changed to solution
Passo 24
Hidden Singles
valore: 3.1
categoria doc: Getting_Started
5 in A7 is last in row/column/box
Passo 25
Naked Pair
valore: 15.3
categoria doc: Naked_Candidates
Naked Pair 4/8 on cells {E1|E4} means
- 4 can be removed from E5
- 4 can be removed from E6
Passo 26
Chute Remote Pair
valore: 75
categoria doc: Chute_Remote_Pairs
Neither 1/7 can be set in the yellow cells {B4,B5,B6} and with the Remote Pair in A8 and C3 it means:
- 1/7 can be removed from A1
Passo 27
Rectangle Elimination
valore: 74.3
categoria doc: Rectangle_Elimination
If +4[A1] then -4[E1] forcing +4[E4] which removes all 4s from Box 2, so A1 cannot be 4
Last candidate 6 in A1 changed to solution
Passo 28
Hidden Singles
valore: 2.8
categoria doc: Getting_Started
6 in H2 is last in row/column/box
Passo 29
XY-Chain
valore: 261.3
categoria doc: XY_Chains
length=7, chain ends: C3 and F1
This proves 1 is the solution at one or possibly both ends of the chain
-1[C3]+7[C3]-7[C6]+1[C6]-1[D6]+4[D6]-4[E4]+8[E4]-8[E1]+4[E1]-4[H1]+5[H1]-5[F1]+1[F1]
- 1 can be removed from B1
- 1 can be removed from F3
Last candidate 5 in F3 changed to solution
Passo 30
Naked Singles
valore: 1.3
categoria doc: Getting_Started
Last candidate 1 in F1 changed to solution
Passo 31
Hidden Singles
valore: 2.6
categoria doc: Getting_Started
5 in H1 is last in row/column/box
Passo 32
XY-Chain
valore: 191.9
categoria doc: XY_Chains
length=5, chain ends: B1 and C6
This proves 7 is the solution at one or possibly both ends of the chain
-7[B1]+4[B1]-4[E1]+8[E1]-8[D2]+4[D2]-4[D6]+1[D6]-1[C6]+7[C6]
- 7 can be removed from C3
Last candidate 1 in C3 changed to solution
Passo 33
Naked Singles
valore: 1.2
categoria doc: Getting_Started
Last candidate 7 in C6 changed to solution
Passo 34
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 2 in E6 changed to solution
Passo 35
Naked Singles
valore: 1.1
categoria doc: Getting_Started
Last candidate 7 in E5 changed to solution
Passo 36
Hidden Singles
valore: 2.2
categoria doc: Getting_Started
1 in B8 is last in row
7 in A8 is last in row
Passo 37
Naked Singles
valore: 0.9
categoria doc: Getting_Started
Last candidate 2 in B7 changed to solution
Last candidate 8 in H8 changed to solution
Passo 38
Naked Singles
valore: 0.8
categoria doc: Getting_Started
Last candidate 3 in A9 changed to solution
Last candidate 4 in G7 changed to solution
Last candidate 2 in H9 changed to solution
Passo 39
Naked Singles
valore: 0.7
categoria doc: Getting_Started
Last candidate 8 in B9 changed to solution
Last candidate 2 in G5 changed to solution
Last candidate 4 in H3 changed to solution
Last candidate 7 in H7 changed to solution
Passo 40
Naked Singles
valore: 0.6
categoria doc: Getting_Started
Last candidate 7 in B3 changed to solution
Passo 41
Naked Singles
valore: 0.5
categoria doc: Getting_Started
Last candidate 4 in B1 changed to solution
Last candidate 2 in J3 changed to solution
Passo 42
Naked Singles
valore: 0.4
categoria doc: Getting_Started
Last candidate 9 in B2 changed to solution
Last candidate 8 in E1 changed to solution
Last candidate 8 in J2 changed to solution
Passo 43
Naked Singles
valore: 0.3
categoria doc: Getting_Started
Last candidate 2 in A2 changed to solution
Last candidate 3 in B4 changed to solution
Last candidate 4 in D2 changed to solution
Last candidate 4 in E4 changed to solution
Last candidate 7 in J1 changed to solution
Passo 44
Naked Singles
valore: 0.2
categoria doc: Getting_Started
Last candidate 9 in A4 changed to solution
Last candidate 1 in D6 changed to solution
Last candidate 6 in F4 changed to solution
Passo 45
Naked Singles
valore: 0.1
categoria doc: Getting_Started
Last candidate 4 in A6 changed to solution
Last candidate 5 in D5 changed to solution
Last candidate 3 in F6 changed to solution
Last candidate 5 in J4 changed to solution
Passo 46
Naked Singles
valore: 0
categoria doc: Getting_Started
Last candidate 1 in A5 changed to solution
Last candidate 8 in D4 changed to solution
Last candidate 4 in J5 changed to solution
Last candidate 6 in J6 changed to solution