Prelims
i. n1: 5(2) = {14/23}
ii. n2: 11(3) no 9; 17(2) = {89}
iii. n4: 22(3) no 1..4; 9(2) no 9; 9(3) no 7,8,9
iv. n5: 20(3) no 1,2
v. n6: 12(2) no 1,2,6; 11(3) no 9
vi. n7: 6(2) no 3,6..9; 14(2) no 1..4 nor 7
vii. n8: 22(3) no 1..4
viii. n9: 11(2) no 1; 10(2) no 5
1. 17(2)n2 = {89}: both locked for r3
2. 22(3)n4 = 9{58/67}: 9 locked for n4
3. "45" n1: r4c1 + 5 = r3c23
3a. max. r3c23 = [74] = 11 -> max r4c1 = 6
4. "45" c1: 3 innies r159c1 = h20(3)
4a. = {479/569/578}(no 1,2,3) ({389} blocked by no candidates in r9c1) = [8/9..]
4b. = [4/5] but not both -> no 4 or 5 in r15c1
4c. r8c2 = {12}
5. hidden killer pair {89} in c1. h20(3) has just 1 of 8/9 for c1 (step 4a). The only other place for 8/9 is r2c1
5a. r2c1 = (89)
6. "45" r12: r2c19 = h13(2) = [85/94]
6a. r2c9 = (45)
6b. min. r2c9 = 4 -> max. r34c9 = 8 (cage sum)(no 8,9)
7. "45" n36: 2 innies r3c7 + r6c9 = 15 = [87/96]
7a. r6c9 = (67)
7b. min. r6c9 = 6 -> max. r78c9 = 7 (cage sum) (no 7,8,9)
8. "45" c9: r159c9 = h20(3) and must have 8 & 9 for c9 = {389} only : all locked for c9
8a. 11(3)n6 must have 3/8 = {128/137/236} (no 4,5)
8b. 11(3) = one of 3/8 -> no 3/8 in r56c8
8c. r9c9 = (389) -> r8c8 = (238)
9. complex implied cage block: r9c123 = [4/6] (if 5 in r9c1 -> 14(2)n7 = {68}; if 5 not in r9c1 -> r9c1 = 4)
9a. ->{46} combo blocked from 10(2)n9 = {19/28/37} = [3/8/9]
10. complex hidden single on 9 in n9 in 11(2) & 10(2). (if 9 is not in 11(2)n9 it must be {38} -> 10(2)n9 = {19})
10a. 9 locked for n9 & r9 in r9c789
11. 14(2)n7 = {68}: both locked for n7 & r9
11a. no 2 in 10(2)n9
11b. no 3 in r8c8
12. Killer pair (39) in 10(2)n9 & r9c9: 3 locked for n9 & r9
13. 2 in r9 only in n8: 2 locked for n8
13a. (including!...since I often forget if it's the same cage) no 2 in r8c5
13b. 15(4)n8 must have 2: {1347/1356} blocked
14. Don't know what happened to this step(?)
15. Hidden Killer pair {45} in r9: r9c456 must have one of 4/5 for r9, only other spot is r9c1
15a. ->15(4)n8 must have at least 1 of 4/5 = 2{148/157}(no 3,6,9) ({2346} blocked by 3 & 6 only available in r8c5)
15b. 15(4)n8 = one of 4/5 -> no 4/5 in r8c5
15c. 15(4)n8 = 12{48/57} -> 1 locked for n8
16. "45" r9: r8c258 = h11(3)
16a. only has candidates {1278} which sum to 18
16b. only way to get back to 11 is without the 7
16c. ->h11(3) = {128} only: all locked for r8
17. 13(3)n8 cannot have 1/2 so = {346} only
17a. -> no 6 in r8c4
17b. [missed this one] 3 only in r78c6: 3 locked for n8 & c6
18. 7 & 9 in r8 are only in 22(3)n8 = {679} only
18a. r7c4 = 6
18b. r8c34 = {79}
19. Naked Pair (NP) {34} in r78c6: both locked for n8, c6 & 13(3) cage
19a. ->r8c7 = 6
20. r9c1 = 4 (hsingle r9)
20a. h20(3) r159c1 = {79}[4]: 7 & 9 both locked for c1`
21. r8c2 = 2 (cage sum)
21a. r8c58 = [18]
22. r9c9 = 3 (cage sum)
22a. 10(2)n9 = {19}: 1 locked for n9
23. r7c5 = 8 (hsingle n8)
24. r2c19 = h13(2) = [85]
rest is easy stuff