Assassin 91
Posted: Fri Feb 22, 2008 5:47 pm
This was a fun assassin since I got to use Killer triples and Killer quads. It took me more time than it should have to solve it since I didn't see step 7a which is a basic move.
A91 Walkthrough:
1. R123
a) 16(2) = {79} locked for C6+N2
b) 9(2) @ N2 <> 2
c) Innies N2 = 6(2) = {15/24}
d) Killer pair (45) locked in 14(3) + Innies N2 for N2
e) Innies N3 = 27(4) <> 1,2
f) 9(2) @ N3 <> 3,6 since (36) is a Killer pair of 9(3)
2. C789
a) 23(3) = {689} locked for R5, 9 locked for N6
b) 27(4) = 9{378/468/567} -> 9 locked for N3
c) Innies C89 = 13(3): R28C8 <> 6,7,8,9 because R5C8 = (689)
d) Outies C789 = 14(3) must have 6 xor 8 and R5C6 = (68) -> R7C6 <> 6,8
e) 1 locked in R9C789 for N9
f) Outies N9 = 9(2+1) <> 8
3. R6789
a) Innies R9 = 6(2) = [42/51]
b) Innies R89 = 5(2) = [14/23/32]
c) 9(2) <> {45} since it's blocked by R9C3 = (45)
d) 20(3) = {479/569/578} because R9C3 = (45) -> R8C23 <> 3,4,5
e) 12(3) <> {345} because R9C7 = (12)
f) 12(3) must have 6,7,8 xor 9 and it's only possible @ R8C7 -> R8C7 = (6789)
g) Innies N7 = 14(4) <> 9
h) Outies N7 = 19(2+1) -> R7C4 <> 1
i) Innies = 10(2) <> 5; R6C1 <> 1
j) 19(3): R9C45 <> 3 because R9C6 <> 7,9
4. C123
a) Innies C12 = 19(3) <> 1; R2C2 <> 2 because R5C2 <> 8,9
b) Outies C123 = 12(3) <> 8 because {138} blocked by Killer pair (13) of 9(2) @ C4
c) Innies+Outies N1: -3 = R4C2 - R3C3 -> R4C2 <> 7,8,9; R3C3 <> 1,2,3
d) Innies+Outies N7: 4 = R6C2 - R7C3 -> R6C2 = (56789); R7C3 <> 6,7,8
5. N9 !
a) Innies+Outies: -5 = R6C8 - R7C7 -> R6C8 = (1234); R7C7 = (6789)
b) 19(4) must have 2 of (56789) and they are only possible @ R7C89 -> R7C89 <> 2,3,4
c) 4 locked in R8C89 for R8
d) ! 19(4) can only have one of (6789) because of Killer quad (6789) in R78C7 and 9(2)
-> 19(4) = 5{149/239/248/347} -> 5 locked R7+N9
6. R789
a) 5 locked in 14(3) @ N8 = 5{18/27/36} for N8
b) 15(3): R6C3 <> 1 because R7C34 <= 13
c) Innies+Outies N7: 4 = R6C2 - R7C3 -> R6C2 <> 9
7. N58 !
a) Innies+Outies N5: -8 = R7C5 - R5C46 -> R7C5 <> 8,9 because R5C46 <= 15
b) ! 14(3) @ N8 <> 2,7 since {257} is a Killer triple of Innies N8
8. R789
a) Killer pair (13) locked in 14(3) + Innies R89 for R8
b) 12(3) = {129/147/246} <> 8
c) 9(2) <> 2,7 since (27) is a Killer pair of 12(3)
d) Killer pair (16) locked in 9(2) + 12(3) for N9
e) 11(2) <> {38} because it's a Killer pair of 9(2)
f) 3 locked in Innies N7 = 14(4) = 13{28/46} <> 7
g) Innies+Outies N9: -5 = R6C8 - R7C7 -> R6C8 <> 1
9. C789 !
a) ! Killer quad (6789) locked in 14(3) @ N3 + R578C7 for C7
b) 9(3) = 3{15/24} -> 3 locked for N3
c) 9(2) <> 4,5 since (45) is a Killer pair of 9(3)
d) Innies+Outies N3: R3C7 = R4C8 <> 3
e) R6C8 <> 4 since it sees all 4 of N9
f) Innies+Outies N9: -5 = R6C8 - R7C7 -> R7C7 <> 9
10. C789
a) Innies C89 = 13(3) <> 9 because R8C8 = (24)
b) Hidden Single: R5C7 = 9 @ N6
c) 12(3) = 4{17/26} -> R8C8 = 4
d) 19(4) = {2359} -> 9 locked for R7; {23} locked between N6 and C9 -> 13(3) <> 2,3
e) 13(3) = 1{48/57} -> 1 locked for C9+N6
f) Both 9(2): R19C8 <> 8
11. R789
a) Innies R89 = 5(4) = {23} locked for R8
b) 14(3) @ R8 = {158} locked for R8+N8
c) 19(3) = 9{37/46} -> 9 locked for R9
d) 11(2) <> 2
e) Killer pair (45) locked in 11(2) + R9C3 for R9+N7
f) 2 locked in Innies N7 = 14(4) = {1238}
h) 19(3) = {379} -> R9C6 = 3; 7 locked for R9+N8
i) Hidden Single: R9C9 = 8 @ R9 -> R9C8 = 1
j) 14(3) @ N9 = 7{25/34} -> R7C7 = 7; R6C7 = (35)
12. C456
a) Outies C789 = 14(3) = {248} because R7C6 = (24) -> R5C6 = 8; {24} locked for C6
b) Innies N2 = 6(2) = {24} locked for R3+N2
c) Outies C123 = 12(3) = {246} -> R7C4 = 6; {24} locked for C4
d) 9(2) = {18} locked for C4+N2
e) 12(3) must have 2 xor 4 because R5C4 = (24) -> R5C23 <> 2,4
13. R123
a) 9(2) @ N3 = {27} locked for R1+N3
b) 9(3) = {135} locked for N3
c) 1 locked in R3C12 for N1
d) 10(2) = {46} locked for R1+N2
e) 14(3) @ N1 = 2{39/57} -> R2C3 = 2
f) R1C6 = 9, R2C6 = 7
g) 14(3) @ N1 = {239} -> R1C3 = 3, R2C2 = 9
14. N45
a) 15(3) @ N7 = {168} -> R6C3 = 8, R7C3 = 1
b) 15(3) @ N1 = 6{27/45} because R3C3 = (57) -> R4C3 = 6
c) 18(4) @ N5 = {1359} because 24{39/57} blocked by R5C4 = (24)
15. Rest is singles.
Rating: Hard 1.25. I used some Killer triples and Killer quads.
A91 Walkthrough:
1. R123
a) 16(2) = {79} locked for C6+N2
b) 9(2) @ N2 <> 2
c) Innies N2 = 6(2) = {15/24}
d) Killer pair (45) locked in 14(3) + Innies N2 for N2
e) Innies N3 = 27(4) <> 1,2
f) 9(2) @ N3 <> 3,6 since (36) is a Killer pair of 9(3)
2. C789
a) 23(3) = {689} locked for R5, 9 locked for N6
b) 27(4) = 9{378/468/567} -> 9 locked for N3
c) Innies C89 = 13(3): R28C8 <> 6,7,8,9 because R5C8 = (689)
d) Outies C789 = 14(3) must have 6 xor 8 and R5C6 = (68) -> R7C6 <> 6,8
e) 1 locked in R9C789 for N9
f) Outies N9 = 9(2+1) <> 8
3. R6789
a) Innies R9 = 6(2) = [42/51]
b) Innies R89 = 5(2) = [14/23/32]
c) 9(2) <> {45} since it's blocked by R9C3 = (45)
d) 20(3) = {479/569/578} because R9C3 = (45) -> R8C23 <> 3,4,5
e) 12(3) <> {345} because R9C7 = (12)
f) 12(3) must have 6,7,8 xor 9 and it's only possible @ R8C7 -> R8C7 = (6789)
g) Innies N7 = 14(4) <> 9
h) Outies N7 = 19(2+1) -> R7C4 <> 1
i) Innies = 10(2) <> 5; R6C1 <> 1
j) 19(3): R9C45 <> 3 because R9C6 <> 7,9
4. C123
a) Innies C12 = 19(3) <> 1; R2C2 <> 2 because R5C2 <> 8,9
b) Outies C123 = 12(3) <> 8 because {138} blocked by Killer pair (13) of 9(2) @ C4
c) Innies+Outies N1: -3 = R4C2 - R3C3 -> R4C2 <> 7,8,9; R3C3 <> 1,2,3
d) Innies+Outies N7: 4 = R6C2 - R7C3 -> R6C2 = (56789); R7C3 <> 6,7,8
5. N9 !
a) Innies+Outies: -5 = R6C8 - R7C7 -> R6C8 = (1234); R7C7 = (6789)
b) 19(4) must have 2 of (56789) and they are only possible @ R7C89 -> R7C89 <> 2,3,4
c) 4 locked in R8C89 for R8
d) ! 19(4) can only have one of (6789) because of Killer quad (6789) in R78C7 and 9(2)
-> 19(4) = 5{149/239/248/347} -> 5 locked R7+N9
6. R789
a) 5 locked in 14(3) @ N8 = 5{18/27/36} for N8
b) 15(3): R6C3 <> 1 because R7C34 <= 13
c) Innies+Outies N7: 4 = R6C2 - R7C3 -> R6C2 <> 9
7. N58 !
a) Innies+Outies N5: -8 = R7C5 - R5C46 -> R7C5 <> 8,9 because R5C46 <= 15
b) ! 14(3) @ N8 <> 2,7 since {257} is a Killer triple of Innies N8
8. R789
a) Killer pair (13) locked in 14(3) + Innies R89 for R8
b) 12(3) = {129/147/246} <> 8
c) 9(2) <> 2,7 since (27) is a Killer pair of 12(3)
d) Killer pair (16) locked in 9(2) + 12(3) for N9
e) 11(2) <> {38} because it's a Killer pair of 9(2)
f) 3 locked in Innies N7 = 14(4) = 13{28/46} <> 7
g) Innies+Outies N9: -5 = R6C8 - R7C7 -> R6C8 <> 1
9. C789 !
a) ! Killer quad (6789) locked in 14(3) @ N3 + R578C7 for C7
b) 9(3) = 3{15/24} -> 3 locked for N3
c) 9(2) <> 4,5 since (45) is a Killer pair of 9(3)
d) Innies+Outies N3: R3C7 = R4C8 <> 3
e) R6C8 <> 4 since it sees all 4 of N9
f) Innies+Outies N9: -5 = R6C8 - R7C7 -> R7C7 <> 9
10. C789
a) Innies C89 = 13(3) <> 9 because R8C8 = (24)
b) Hidden Single: R5C7 = 9 @ N6
c) 12(3) = 4{17/26} -> R8C8 = 4
d) 19(4) = {2359} -> 9 locked for R7; {23} locked between N6 and C9 -> 13(3) <> 2,3
e) 13(3) = 1{48/57} -> 1 locked for C9+N6
f) Both 9(2): R19C8 <> 8
11. R789
a) Innies R89 = 5(4) = {23} locked for R8
b) 14(3) @ R8 = {158} locked for R8+N8
c) 19(3) = 9{37/46} -> 9 locked for R9
d) 11(2) <> 2
e) Killer pair (45) locked in 11(2) + R9C3 for R9+N7
f) 2 locked in Innies N7 = 14(4) = {1238}
h) 19(3) = {379} -> R9C6 = 3; 7 locked for R9+N8
i) Hidden Single: R9C9 = 8 @ R9 -> R9C8 = 1
j) 14(3) @ N9 = 7{25/34} -> R7C7 = 7; R6C7 = (35)
12. C456
a) Outies C789 = 14(3) = {248} because R7C6 = (24) -> R5C6 = 8; {24} locked for C6
b) Innies N2 = 6(2) = {24} locked for R3+N2
c) Outies C123 = 12(3) = {246} -> R7C4 = 6; {24} locked for C4
d) 9(2) = {18} locked for C4+N2
e) 12(3) must have 2 xor 4 because R5C4 = (24) -> R5C23 <> 2,4
13. R123
a) 9(2) @ N3 = {27} locked for R1+N3
b) 9(3) = {135} locked for N3
c) 1 locked in R3C12 for N1
d) 10(2) = {46} locked for R1+N2
e) 14(3) @ N1 = 2{39/57} -> R2C3 = 2
f) R1C6 = 9, R2C6 = 7
g) 14(3) @ N1 = {239} -> R1C3 = 3, R2C2 = 9
14. N45
a) 15(3) @ N7 = {168} -> R6C3 = 8, R7C3 = 1
b) 15(3) @ N1 = 6{27/45} because R3C3 = (57) -> R4C3 = 6
c) 18(4) @ N5 = {1359} because 24{39/57} blocked by R5C4 = (24)
15. Rest is singles.
Rating: Hard 1.25. I used some Killer triples and Killer quads.