Assassin 59
Posted: Fri Jul 13, 2007 6:50 pm
Strangely, I found this one easier than 58.
1. 10(4) r123c6 + r1c7 = {1234}
-> r1c45 see all cells of 10(4) thus min 5 -> r2c5 <> 9
2. 18(5) N4 must have 1,2; no 9 -> r3c12 of 12(3) <> 9
3. Outies N5: r37c5 = 10 (no 5)
4. Outies r12: r3c46 = 6 = [51]/{24}
5. Outies r89: r7c46 = 16 = {79} not elsewhere in N8/r7
-> r3c5 <> 1,3; r6c3 <> 3,5; r6c7 <> 1,3; r89c5 <> 1
6. Innies r34: r4c19 = 11 (no 1)
7. Innies r67: r6c19 = 9 -> r6c9 <> 9
8. Innies r2: r2c456 = 12 -> r2c4 = (1.7)
9. Innies r8: r8c456 = 15 = {168/258/348/456}. Analysis: r8c46 <> 3
10. Outies - Innies N1: r4c23 - r1c3 = 10
r1c3 max 7, r4c23 min 11, max 17 -> r4c2 <> 1
11. O-I N7: r6c23 - r9c3 = 8 -> r6c2 <> 8
r9c3 = (1.9), r6c23 min 9, max 17
12. Innies N4: r46c23 = 27 -> r6c23 min 10, max 16 -> r9c3 <> 1,9
13. O-I N3: r4c78 - r1c7 = 7 -> r4c8 <> 7
r1c7 = (1234), r4c78 min 8, max 11
14. O-I N9: r6c78 - r9c7 = 4 -> r6c8 <> 4
r9c3 = (1.9), r6c78 min 5, max 13
15. Innies N6: r46c78 = 16
Since r4c78 is min 8 -> r6c78 is max 8 (no 8,9) -> r7c7 <> 1,2
16. O-I N2: r3c5 - r1c37 = 4
-> r3c5 = (789), r1c37 = (1234)
-> r7c5 = (123)
17. O-I N8: r9c37 - r7c5 = 8
18. 1 locked to r4567c5 -> r6c46 <> 1
19. Outies c12: r258c3 = 11 (no 9)
20. Innies c123: r19c3 = 9 = [18/27/36/45]
21. Outies c89: r258c7 = 20 (no 1,2)
22. Innies c789: r19c7 = 5 = {14/23}
23. 25(4) r789c6 + r9c7 = 7{68}4 / 9{68}2 / 9{58}3
-> r9c7 <> 1 -> r1c7 <> 4
-> r89c6 = {58/68} 8 not elsewhere in N8/c6
24. Killer Pair r89c6 and 8(2) r89c5 -> r89c4 <> 5,6
-> 4 required for 10(4) thus locked to r123c6 not elsewhere in N2/c6 -> r3c6 <> 2, r1c5 <> 9
-> 4 locked to r89c4 not elsewhere in c4
-> KP 13(2) and 8(2) in c5 -> r456c5 <> 5,6
25. Split 6(2) r3c46:
If [24] -> r1c7 = 2 -> CONFLICT: No place for 2 in N1
-> r3c4 = 5, r3c6 = 1
-> r1c7 = (23) -> r9c7 = (23) not elsewhere in c7
-> r12c5 = {67} -> r1c4, r3c5 = (89)
-> r89c5 = {35} not elsewhere in N8/c5
-> 10(2) r67c7 = {46} not elsewhere in c7
-> 10(2) r34c7 = [91]
-> r3c5 = 8, r7c5 = 2, r1c4 = 9 .
Straightforward combinations and singles from here
1. 10(4) r123c6 + r1c7 = {1234}
-> r1c45 see all cells of 10(4) thus min 5 -> r2c5 <> 9
2. 18(5) N4 must have 1,2; no 9 -> r3c12 of 12(3) <> 9
3. Outies N5: r37c5 = 10 (no 5)
4. Outies r12: r3c46 = 6 = [51]/{24}
5. Outies r89: r7c46 = 16 = {79} not elsewhere in N8/r7
-> r3c5 <> 1,3; r6c3 <> 3,5; r6c7 <> 1,3; r89c5 <> 1
6. Innies r34: r4c19 = 11 (no 1)
7. Innies r67: r6c19 = 9 -> r6c9 <> 9
8. Innies r2: r2c456 = 12 -> r2c4 = (1.7)
9. Innies r8: r8c456 = 15 = {168/258/348/456}. Analysis: r8c46 <> 3
10. Outies - Innies N1: r4c23 - r1c3 = 10
r1c3 max 7, r4c23 min 11, max 17 -> r4c2 <> 1
11. O-I N7: r6c23 - r9c3 = 8 -> r6c2 <> 8
r9c3 = (1.9), r6c23 min 9, max 17
12. Innies N4: r46c23 = 27 -> r6c23 min 10, max 16 -> r9c3 <> 1,9
13. O-I N3: r4c78 - r1c7 = 7 -> r4c8 <> 7
r1c7 = (1234), r4c78 min 8, max 11
14. O-I N9: r6c78 - r9c7 = 4 -> r6c8 <> 4
r9c3 = (1.9), r6c78 min 5, max 13
15. Innies N6: r46c78 = 16
Since r4c78 is min 8 -> r6c78 is max 8 (no 8,9) -> r7c7 <> 1,2
16. O-I N2: r3c5 - r1c37 = 4
-> r3c5 = (789), r1c37 = (1234)
-> r7c5 = (123)
17. O-I N8: r9c37 - r7c5 = 8
18. 1 locked to r4567c5 -> r6c46 <> 1
19. Outies c12: r258c3 = 11 (no 9)
20. Innies c123: r19c3 = 9 = [18/27/36/45]
21. Outies c89: r258c7 = 20 (no 1,2)
22. Innies c789: r19c7 = 5 = {14/23}
23. 25(4) r789c6 + r9c7 = 7{68}4 / 9{68}2 / 9{58}3
-> r9c7 <> 1 -> r1c7 <> 4
-> r89c6 = {58/68} 8 not elsewhere in N8/c6
24. Killer Pair r89c6 and 8(2) r89c5 -> r89c4 <> 5,6
-> 4 required for 10(4) thus locked to r123c6 not elsewhere in N2/c6 -> r3c6 <> 2, r1c5 <> 9
-> 4 locked to r89c4 not elsewhere in c4
-> KP 13(2) and 8(2) in c5 -> r456c5 <> 5,6
25. Split 6(2) r3c46:
If [24] -> r1c7 = 2 -> CONFLICT: No place for 2 in N1
-> r3c4 = 5, r3c6 = 1
-> r1c7 = (23) -> r9c7 = (23) not elsewhere in c7
-> r12c5 = {67} -> r1c4, r3c5 = (89)
-> r89c5 = {35} not elsewhere in N8/c5
-> 10(2) r67c7 = {46} not elsewhere in c7
-> 10(2) r34c7 = [91]
-> r3c5 = 8, r7c5 = 2, r1c4 = 9 .
Straightforward combinations and singles from here