SudokuSolver Forum :: View topic - ORC Only V1 and RK2

Author:

Andrew [ Mon Dec 12, 2016 4:36 am ]

Post subject:

Re: ORC Only V1 and RK2

And then I did the Repeat Killer V2. At first I struggled, because I'd overlooked one of the rules (see my walkthrough). So I started again and it was fairly straightforward.

Here is my walkthrough:

Author:	HATMAN [ Wed Nov 23, 2016 5:30 am ]
Post subject:	ORC Only V1 and RK2
ORC only NN AK NC FNC: V1 and RK2 So it is: ORC: odd rows and columns are 1-9 no repeat; even ones are not (i.e. they can repeat). NN: no nonets AK: Anti-King - diagonally adjacent are not equal FNC: Ferz Non-concecutive - diagonally adjacent are not consecutive NC: adjacent cells are not consecutive Vanilla Puzzle ORC 1: Solution: 468135792 813579246 357924681 792469135 246813579 691357914 135792468 579146813 924186357 Repeat Killer ORC 2: All cages are repeat, either AAA or {ABB}. Solution: 586429137 222975551 647519283 819937466 364751928 911197755 758641392 113181664 475163829 Solution to V1 corrected - thanks Andrew. Take care if you solve these in JSudoku take care - recursively solve works but some of the solvers (e.g. X=wing) make mistakes.

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ORC Only V1 and RK2 http://www.rcbroughton.co.uk/sudoku/forum/viewtopic.php?f=13&t=1392	Page 1 of 1

Author:	Andrew [ Mon Dec 12, 2016 4:32 am ]
Post subject:	Re: ORC Only V1 and RK2
The Vanilla V1 was straightforward, just applying the AK, FNC and NC rules, so I didn't write a walkthrough for this puzzle.

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Author:	Andrew [ Mon Dec 12, 2016 4:36 am ]
Post subject:	Re: ORC Only V1 and RK2
And then I did the Repeat Killer V2. At first I struggled, because I'd overlooked one of the rules (see my walkthrough). So I started again and it was fairly straightforward. Here is my walkthrough: Odd rows and columns normal, even ones can have repeat numbers, no nonets, anti-king, Ferz non-consecutive, regular non-consecutive. So adjacent numbers in any direction cannot be consecutive; adjacent numbers cannot be the same diagonally or in odd rows and columns. All cages repeat, either {AAA} or {ABB} I was struggling at first because I’d forgotten that NC also applies within the cages, so I started again. Prelims (not taking account of interactions between cages) a) 23(3) cage at R1C6 = {599/977} (cannot be {788} because of NC) b) 6(3) cage at R2C1 = {114/222} c) 23(3) cage at R2C4 = {599/977} (cannot be {788} because of NC) d) 11(3) cage at R2C7 = {119/227/335/551} (cannot be {443} because of NC), no 4,6,8 e) 19(3) cage at R4C2 = {199/388/577/955} (cannot be {766} because of NC), no 2,4,6 f) 8(3) cage at R4C2 = {116/224} (cannot be {332} because of NC) g) 16(3) cage at R4C7 = {277/466/844} (cannot be {655} because of NC), no 1,3,5 h) 11(3) cage at R6C1 = {119/227/335/551} (cannot be {443} because of NC), no 4,6,8 i) 8(3) cage at R6C4 = {116/224} (cannot be {332} because of NC) j) 23(3) cage at R6C5 = {599/977} (cannot be {788} because of NC) k) 9(3) cage at R6C6 = {117/225/333/441}, no 6,8,9 l) 5(3) cage at R8C1 = {113} (cannot be {221} because of NC) m) 13(3) cage at R8C6 = {229/337/553/661} (cannot be {445} because of NC), no 4,8 1. R4C2 = 1 -> 19(3) cage at R4C2 = [199], 8(3) cage at R4C2 = [161], 9 placed for C3, 6 placed for R5 1a. R4C2 = 1 -> no 2 in R3C123+R4C1+R5C13 (FNC+NC), no 1 in R35C13 (AK) 1b. R4C34 = [99] -> no 8 in R3C235+R4C5+R5C345 (FNC+NC), no 9 in R3C245+R5C45 (AK) 1c. R5C2 = 6 -> no 5,7 in R4C1+R56C13 (FNC+NC), no 6 in R4C1 (NC) 1d. R6C2 = 1 -> no 2 in R6C13+R7C123 (FNC+NC), no 1 in R7C13 (AK) 1e. R6C2 = 1 -> 11(3) cage at R6C1 = [911], 9 placed for C1, 1 placed for C3 1f. R6C1 = 9 -> no 8 in R5C1+R7C12 (FNC+NC), no 9 in R7C2 (AK) 1g. R6C3 = 1 -> no 2 in R567C4 (FNC+NC), no 1 in R5C4+R7C24 (AK) 2. R8C3 = 3 -> 5(3) cage at R8C1 = [113], 1 placed for C1, 3 placed for C3 2a. R5C13 = [34], placed for R5, 3 placed for C1, 4 placed for C3 2b. R2C3 = 2 -> 6(3) cage at R2C1 = [222], 2 placed for C1 and C3 2c. R2C1 = 2 -> no 1,3 in R13C2 (FNC), no 2 in R1C2 (AK) 2d. R2C3 = 2 -> no 1,2,3 in R1C4 (AK+FNC) 2e. R5C1 = 3 -> no 4 in R4C1 (NC) 2f. R5C3 = 4 -> no 5 in R5C4 (NC) -> R5C4 = 7, placed for R5 2g. R5C4 = 7 -> no 6 in R4C5+R6C4 (FNC+NC), no 7 in R46C5 (AK) 2h. R8C1 = 1 -> no 1,2 in R9C2 (AK+FNC) 2i. R8C3 = 3 -> no 2,4 in R7C24+R8C4+R9C24 (FNC+NC), no 3 in R7C2+R9C24 (AK) 2j. R4C1 = 8, placed for C1 2k. R4C1 = 8 -> no 7 in R3C12 (FNC+NC) 3. R7C4 = 6, placed for R7 -> 8(3) cage at R6C4 = [161] 3a. R6C4 = 1 -> no 1,2 in R57C5 (AK+FNC) 3b. R7C4 = 6 -> no 5,7 in R6C5+R7C35+R8C5 (FNC+NC), no 6 in R8C5 (AK) 3c. R8C4 = 1 -> no 2 in R89C5 (FNC+NC), no 1 in R9C5 (AK) 3d. R5C5 = 5, placed for R5 and C5 3e. R5C5 = 5 -> no 4,6 in R4C56 (FNC+NC), no 5 in R46C6 (AK) 3f. R6C5 = 9, placed for C5, R6C6 = 7 -> R6C7 = 7 (cage sum), placed for C7 3g. R6C5 = 9 -> no 8 in R5C6+R7C5 (FNC+NC), no 9 in R5C6 (AK) 3h. R6C67 = [77] -> no 6,8 in R57C7+R567C8 (FNC+NC), no 7 in R7C6 (AK) 4. R6C6 = 7 -> 9(3) cage at R6C6 = [711], 1 placed for R7 4a. R78C6 = [11] -> no 2 in R789C7 (FNC/NC), no 1 in R8C57+R9C7 (AK) 5. Naked quad {4567} in R3C1234, locked for R3 -> R3C6 = 9, placed for R3 5a. R3C6 = 9 -> no 8 in R2C5+R3C7+R4C67 (FNC+NC), no 9 in R4C7 (AK) 6. R5C9 = 8 (hidden single in R5), placed for C9 6a. R5C9 = 8 -> no 7,9 in R4C89+R5C8+R6C89 (FNC+NC), no 8 in R4C8 (AK) 6b. R5C7 = 9 (hidden single in R5), placed for C7 6c. R5C7 = 9 -> no 9 in R4C6 (AK) 7. 16(3) cage at R4C7 = {466} (only remaining combination) 7a. R3C8 = 8 (hidden single in R3) 7b. R3C8 = 8 -> no 7 in R2C89 (FNC+NC) 8. R5C6 = {12} -> no 1,2 in R4C56 (FNC+NC) -> R4C5 = 3, placed for C5 8a. R4C5 = 3 -> no 2 in R3C5 (NC) -> R3C5 = 1, placed for R3 and C5 8b. R3C5 = 1 -> no 2 in R2C5 (NC) 8c. R7C5 = 4, placed for R7 and C5 8d. R1C5 = 2 (hidden single in C5), placed for R1 8e. R7C3 = 8, placed for C3, no 7 in R7C2 (NC) -> R7C12 = [75], placed for R7, 7 placed for C1 8f. R7C7 = 3, placed for R7 and C7 -> R3C79 = [23], 2 placed for C7, 3 placed for C9 8g. R7C7 = 3 -> no 2,4 in R678C8 (NC) -> R7C89 = [92], 2 placed for C9 8g. R3C7 = 2 -> no 1,3 in R2C8 (FNC), no 1 in R2C7 (NC), no 2 in R2C8 (AK) 8h. R7C7 = 3 -> no 3 in R68C8 (AK) 8i. R7C9 = 2 -> no 1 in R68C89 (FNC+NC) 8j. R7C8 = 9 -> no 9 in R8C9 (AK) 9. R8C6 = 1 -> 13(3) cage at R8C6 = [166], 6 placed for C7 9a. R8C6 = 1 -> no 2 in R9C6 (NC) 9b. R8C78 = [66] -> no 5,7 in R8C9+R9C6789 (FNC+NC), no 6 in R9C689 (AK) 10. R2C7 = 5 -> 11(3) cage at R2C7 = [551], 5 placed for C7, 1 placed for C9 10a. R2C78 = [55] -> no 4,6 in R1C789 (FNC+NC), no 5 in R1C689 (AK) 10b. R2C9 = 1 -> no 1 in R1C8 (AK+FNC) 10c. Naked pair {46} in R48C9, locked for C9 -> R1C9 = 7, placed for R1 10d. R1C6 = 9, placed for R1, R3C6 = 9 -> R2C6 = 5 (cage sum) 10e. R2C6 = 5 -> no 6 in R2C5 (NC) -> R2C5 = 7 10f. R2C5 = 7 -> no 6,8 in R1C4 (FNC), no 7 in R3C4 (AK) 10g. R3C4 = 5, placed for R3, R4C4 = 9 -> R2C4 = 9 (cage sum) 10h. R3C4 = 5 -> no 6 in R3C3 -> R3C3 = 7, placed for C3 10i. R3C3 = 7 -> no 6 in R3C2 -> R3C12 = [64], 6 placed for C1 11. R4C7 = 4, placed for C7 -> 16(3) cage at R4C7 = [466], 6 placed for C9 11a. R9C79 = [89], placed for R9, 8 placed for C7 11b. R8C9 = 4 -> no 3,4 in R9C8 (AK+FNC) 11c. R1C9 = 7 -> no 8 in R1C8 (NC) 11d. R9C7 = 8, placed for R9 and C7 12. R8C5 = 8, placed for C5 -> R9C5 = 6, placed for R9, R9C13 = [45], placed for R9, 4 placed for C1, 5 placed for C3, R9C2468 = [7132] 12a. R1C1234 = [5864] 12b. R3C7 = 2 -> no 3 in R4C6 (FNC) -> R4C6 = 7 12c. R4C5 = 3 -> no 2 in R5C6 (FNC) -> R5C68 = [12] 12d. R1C8 = 3, R6C89 = [55]