SudoCue Users

Posted: **Fri Aug 17, 2007 8:00 am**

just testing

solution is......[/b]

Posted: **Fri Aug 17, 2007 8:51 am**

Hi goooders,

You've got the bracketing wrong here. Here's how it should be entered to get the "solution is..." part in tiny text (TT):

Code: Select all

just testing

&#91;size=1&#93;solution is......&#91;/size&#93;

Note: The "size=7" tag generated by the "Font size" combo box for "Tiny" font size is still a bit too big, so I would recommend overtyping the 7 with a smaller value (e.g., 1 or 2), as shown above. To be quite honest, I don't use this combo box at all, and just type in the tags manually.

Tip: If you're not sure how something is done, just pick any post from someone else containing the desired formatting feature and press the quote button next to it. This will reveal the formatting tags they used to get the observed effects.

Posted: **Fri Aug 17, 2007 12:39 pm**

Hi all

That was fun. Just being a bit creative on this one. Didn't really take the more conventional opening. Was having some fun with this one. Also used a technique we don't get to use much in Assassins. Guess this assassin rates somewhere between 1.00 and 1.25.

Walk-Through Assassin 64

1. R12C1 = {49/58/67}: no 1,2,3

2. R12C9 = {15/24}: no 3,6,7,8,9

3. 27(4) at R1C5 = {3789/4689/5679}: no 1,2; 9 locked for N2

4. 8(3) at R2C2 = {125/134}: no 6,7,8,9; 1 locked for N1

5. R23C6 = {16/25/34}: no 7,8

6. 30(4) at R3C1 = {6789}

7. 19(3) at R4C9 = {289/379/469/478/568}: no 1

8. 11(3) at R4C1 and R5C6 = {128/137/146/236/245}: no 9

9. 14(4) at R6C2 = {1238/1247/1256/1346/2345}: no 9

10. 13(4) at R6C7 = {1237/1246/1345}: no 8,9

11. 20(3) at R7C3 = {389/479/569/578}: no 1,2

12. R78C4 = {18/27/36/45}: no 9

13. 23(3) at R7C7 = {689} -->> locked for N9

14. R89C1 = {17/26/35}: no 4,8,9
14a. 9 in C1 locked for N1

15. R89C9 = {37} -->> locked for C9 and N9

16. 45 on C9: 2 innies: R37C9 = 10 = [64/82/91] -->> R3C9 = {689}; R7C9 = {124

17. 45 on R89: 4 outies: R7C3467 = 30 = {6789} -->> locked for R7
17a. Clean up: R8C4 = {123}

18. 14(3) at R9C6 = [7]{25}/[8]{15/24}/[9]{14} -->> R9C6 = {789}; R9C78 = {14/15/24/25}= {1|2..},{4|5..}
18a. R7C89 = {14/15/24/25} = {1|2..},{4|5..}

19. 45 on C1: 2 innies: R37C1 = 13 = [94/85] -->> R3C1 = {89}; R3C7 = {45}
19a. Killer Pair {45} in R7C1 + R7C89 -->> locked for R7
19b. R12C1 = {4|5|6..}; R7C1 = {45} -->> 11(3) in R4C1 = {128/137/236} = {6|7|8..}: {146/245} blocked by R12C1 + R7C1 -->> R456C1: no 4,5

20. 45 on R12: 4 outies: R3C3467 = 17 = {1259/1349/1457/2348/2357/2456} = {6|7|8|9..}: {1268/1367} blocked by R3C129
20a. Killer Quad {6789} in R3C129 + R3C3467 -->> locked for R3

21. LOL on N5: R37C5 = R5C46 = {12345} -->> R5C46: no 6,7,8,9

22. 15(3) at R5C2 = {159/168/249/258/267/348/357/456} -->> {6|7|8|9..} in R5C23(no room for these in R5C4)
22a. Killer Quad {6789} in R4C23 + R456C1 + R5C23 -->> locked for N4
22b. 14(3) at R6C2 = {2345}(last combo): no 1 -->> R6C23 = {2|3..},{4|5..}
22c. 11(3) at R4C1 = {128/137}: {236} blocked by R6C23 : no 6; 1 locked for C1 and N4 R456C1 = {2|3..}
22d. Killer Pair {23} in R456C1 + R6C23 -->> locked for N4
22e. Clean up: R89C1 = {26/35}: no 7 = {2|3..},{5|6..}

23. Killer Pair {23} in R7C2 + R89C1 -->> locked for N7
23a. 20(3) at R7C3 = {479/578} = {4|5..}: {569} blocked by R89C1: no 6; 7 locked for N7
23b. Killer Pair {45} in R7C1 + 20(3) cage at R7C3 -->> locked for N7
23c. R89C1 = {26} -->> locked for C1 and N7
23d. R7C2 = 3
23e. Clean up: R456C1 = {137} -->> locked for C1 and N4
23f. R3C2 = 7(hidden in 30(4) cage at R3C1)
23g. 6 in 30(4) cage locked for R4 and N4

24. 13(3) at R9C2 = {19}[3]/[18}[4] : R9C4 = {34}; 1 locked for R9
24a. 1 in N9 locked for R7 and 13(4) cage at R6C7
24b. R7C5 = 2; R8C1 = 2(hidden); R9C1 = 6
24c. 2 in N4 locked for R6
24d. 2 in N5 locked for R5

25. 13(4) at R6C7 = {1345}(last combo): no 6,7
25a. 3 in 13(4) locked for R6 and N6

26. 45 on N1: 1 innie and 1 outie: R1C4 + 3 = R3C1 -->> R1C4 = {56}
26a. R23C6 = {4|5|6..} -->> 27(4) at R1C5 = {3789}: ({4689/5679} blocked by R1C4 + R23C6) -->> {3789} locked for N2
26b. Clean up: R23C6: ={16/25}: no 4 = {5|6..}
26c. Killer Pair {56} in R1C4 + R23C6 -->> locked for N2
26d. Clean up: R5C46: no 3,5(LOL N5)

Now for the Finish
27. 14(3) at R1C2 = {356}(last combo with R1C4 = {56}) -->> locked for R1; R1C3 = 3(only place in 14(3) cage)
27a. 8(3) at R2C2 = {125}(last combo) -->> locked for N1
27b. R1C24 = [65]; R3C1 = 8(step 26); R4C23 = [96]; R7C1 = 5(hidden)

28. R23C6 = {16}(last combo) -->> locked for N2 and C6
28a. R3C5 = 4; R1C6 = 2; R5C6 = 4; R5C4 = 2(LOL N5)
28b. R9C4 = 4

29. R9C23 = {18}(last combo within 13(3) at R9C2) -->> locked for R9 and N7
29a. R8C2 = 4; R6C23 = [24]

30. 14(3) at R9C6 = [7]{25}(last combo) -->> R9C6 = 7; R9C78 = {25} -->> locked for R9
30a. R89C9 = [73]; R78C3 = [79]; R9C5 = 9; R7C6 = 8; R78C4 = [63]
30b. R3C4 = 9; R3C9 = 6; R8C56 = [15]; R23C6 = [61]; R46C6 = [39]; R7C7 = 9

31. 19(3) at R4C9 = [298](last combo)
31a. R2C9 = 5(hidden)

32. 45 on N3: 1 innie: R3C8 = 3

And the rest is all naked and hidden singles

greetings

Para

Posted: **Fri Aug 17, 2007 7:44 pm**

Hmm - more a 1.5 in my book - quite a challenge. Contrary to Ruud's comment on the puzzle page, I thought the 45(9) cage was quite helpful for some later eliminations. Key move at step 29 - is there a particular name for this?

Edit: Answering my own question! Having gone through this using JSudoku, my step 29 is apparently an xy-loop.

Further edit - see note after step 17.

Here's my WT - a bit longer than Para's!

Prelims:

a) 8(3) N1 = {125/134} 1 not elsewhere in N1
b) 30(4) r3c12+r4c23 = {6789}
c) 13(2) N1 = {49/58/67}
d) 27(4) N2 = {3789/4689/5679} 9 not elsewhere in N2
e) 7(2) N2 = {16/25/34}
f) 6(2) N3 = {15/24}
g) 13(4) r6c78+r7c89 = {1237/1246/1345} must have 1
h) 23(3) N9 = {689} not elsewhere in N9 -> 10(2) N9 = {37} not elsewhere in N9/c9
-> r7c89+r9c78 = {1245}
-> 14(3) r9c678 = {149/248/158/257} -> r9c6 = (789)
i) 8(2) N7 = {17/26/35}
j) 11(3) r456c1 and r5c678: no 9
k) 20(3) N7: no 1 or 2

1. Innies c1: r37c1 = 13 = [67/76/85/94]: r7c1 = (4567) -> 9 locked r123c1, not elsewhere in N1

2. Innies c9: r37c9 = 10 = [91/82/64] -> r7c9 <> 5
-> 19(3) r456c9 = {289/469/568}

3. Innies r1: r1c159 = 13 = [931/832/841/751/742/634/652/571/562/472/481] -> r1c9 <> 5 -> r2c9 <> 1
Edit: Andrew noted I could also have had r1c5 <> 9 here

4. Innies r5: r5c159 = 19 (no 1) = {289/379/469/478/568}

5. Innies r9: r9c159 = 18 = [693/783/297/387/567/657]
-> r9c1 <> 1 -> r8c1 <> 7
-> r9c5 = (5689)

6. Innies N2: r1c46 + r3c5 = 11 = {128/137/146/236/245}

7. Innies N8: r9c46 + r7c5 = 13
r9c6 = (789) -> r9c4 + r7c5 = 4 or 5 or 6 = {13} or {14/23} or {15/24}
-> r9c4 + r7c5 = (1…5)

8. Outies N1: r1c4 + r4c23 = 20 = {677/686/695/785/794/893}
-> r1c4 = (34567)

9. Outies N3: r1c6 + r4c78 = 13

10. Outies N7: r9c4 + r6c23 = 10 = [127/136/145/217/226/235/316/325/334/415/424/514/523]
({118} blocked by r7c1 min 4) -> r6c23 <> 8

11. Outies N9: r6c78 + r9c6 = 15 = {17/26/35}7; {16/25/34}8; {15/24}9

12. Innies c1234: r2346c4 = 25 = {1789/2689/3589/3679/4579/4678}

13. Innies c6789: r4678c6 = 25 (same options as above!)
(Andrew noted that actually {1789} is not possible for this split cage)
14. Outies r12: r3c3467 = 17 -> r3c12589 = 28
Min from r3c129 is 21 {678} -> r3c58 is max 7 -> r3c58 = (1…6)

15. Outies r89: r7c3467 = 30 = {6789}
-> r8c4 = (123)
-> r7c1 = (45) -> r3c1 = (89)
-> pointing cells: r56c2 <> 6,7

16. Outies c123: r159c4 = 11
r1c4 min 3, r9c4 min 1 -> r5c4 max 7
r1c4 max 7, r9c4 max 5 -> r5c4 min 1
-> r5c4 = (1…7)

17. Outies c789: r159c6 = 13
r9c6 min 7 -> r15c6 max 6 -> r15c6 = (1…5) -> r1c78 = (4…9)
-> 27(4) N2 must have both 89 = {3789/4689}
-> split 11(3) N2 must have one of 3 or 4 {137/146/245} ({236} blocked by 27(4))
-> 7(2) N2 <> {34}

Edit: Evidently when I did this, I neglected to remove the 5s from the 27(4) cage which affects step 19 and leads to a naked quad in c1.
Sorry - I don't have the inclination to rework the rest of this WT!

18. Outies – Innies / Law of Leftovers N5: r5c46 = r37c5
-> r3c5, r5c4 = (1…6); r5c6, r7c5 = (1…5)

19. 9 locked to r3456c9 -> r4c78 <> 9
> 9 locked to r456c9 -> r3c9 <> 9 -> r7c9 <> 1
-> 6(2) r12c9 = [15] -> r3c6 <> 2, r1c1 <> 8
-> r1c15 = [48/57/75/93] (r1c1 <> 6, r1c5 <> 4,6,9) -> r2c1 <> 7
-> r3c3 <> 2
-> 14(3) N3 = {239/248/347} no 6
-> Options for split 13(3) r1c6+r4c78 = {157/247/337/355/445}

20. 1 locked to r23c6/r3c5 in N2 -> r46c6 <> 1

21. 2 locked to r12c6/r3c5 in N2 -> r46c6 <> 2

22. 1 locked to r6c78+r7c8 of 13(4) -> r45c8 <> 1

23. 2 and 4 locked to r4567c9 -> r6c78 <> 2, 4

24. 6 and 8 locked to r3456c9 -> r4c78 <> 6, 8

25. 3 locked to r7c25
a) r7c2 = 3 -> r5c2 <> 3
b) r7c5 = 3 -> one of r5c46 = 3 -> r5c2 <> 3
Either case, r5c2 <> 3

26. 14(4) r6c23+r7c12: Max from r6c2+r7c12 = 12 {345} -> r6c3 <> 1

27. 8 locked to cage 30(4) r3c12+r4c23 and r23456c1
If one of r456c1 = 8 -> r3c2 = 8 -> r1c23 <> 8
If one of r4c23 = 8 -> r2c1 = 8 -> r1c23 <> 8
If one of r2c1,r3c12 = 8 -> r1c23 <> 8
All options r1c23 <> 8 -> 14(3) r1c234 = {257/347/356}

28. Killer pair {12} in c6: 7(2) r23c6 = {16}/[25]; split 13(3) r159c6 = {157/247/148/238/139}
-> r8c6 <> 1,2

29. a) r7c1 = 4 -> r3c1 = 9
-> r7c9 = 2 -> r3c9 = 8 -> r2c1 = 8
b) r7c1 = 5 -> r3c1 = 8
-> r3c9 = 6 -> r7c9 = 4
Either case r3c247 <> 8; r7c258 <> 4
-> 8 locked to r23c1 -> r456c1 <> 8

30. Split 11(3) N2 = {137/146/245} Combo analysis: r3c5 = (1245); r1c4 <> 3
-> r5c4 <> 6

31. Combo analysis of split 13(3) r159c6: r5c6 <> 5

32. 13(4) r6c78+r7c89: r7c89 can’t be [12] (forces {45} to r9c78 not possible for 14(3))
-> combination {1237} not possible -> r6c78 <> 7
-> options now: {1246/1345} -> r7c9 = 4
-> r3c9 = 6 -> r3c1 = 8 -> r7c1 = 5
-> 19(3) r456c9 = {289} 2,8 not elsewhere in N6
-> r3c2 = 7 -> r4c23 = {69} not elsewhere in N4/r4
-> 13(2) N1 = {49} not elsewhere in N1/c1
-> 8(3) N1 = {125} -> r3c3 = 5 -> r3c6 = 1 -> r2c6 = 6

Fairly straightforward singles and cage combinations from here

Posted: **Sat Aug 18, 2007 10:07 pm**

Here is a V2

JSudoku needs a lot of steps to solve this version.

3x3::k

4353:4353:4353:5124

3845

3080

4106:4106:5124:5124

4367:4367

3602

4106:5124

2062:4367:4121:4121:5147

3602

11542

4121:4121

5147

2341

11542:5673:5673:5673

5147:5934:5934

11542

3891

3107:5934:5934

1593

6459:4412

3891

2872

1593:6459:6459:4412:4412

2367:6217:6217:6217:6459

2637:2637

Have fun!

Posted: **Sun Aug 19, 2007 3:08 pm**

According to Ed's rating list from Sudoku Solver given in the A61 thread, the V2 has a marginally lower rating than the V1 - 1.28 compared to 1.29 presumably indicating that it shouldn't be any more difficult. But I beg to differ - completely stumped after 26 steps.

If anyone would like to play tag here's my steps so far. For now I'm going to stop

A64V2

Prelims

a) 24(3) r9c234 = {789) not elsewhere in r9 -> r8c1 <> 1,2; r8c9 <> 2,3,4
b) 22(3) r5c678 = {589/679} 9 not elsewhere in r5
c) 11(2) N1 and N9 – no 1
d) 8(2) N2 = {17/26/35}
e) 12(2) N3 = {39/48/57}
f) 20(3) r456c1 = {389/479/469/578} – no 1,2
g) 9(2) N7 = [36/45/54/63/72/81]
h) 6(2) N8 = {15/24}

1. Innies c1: r37c1 = 5 = {14/23} -> max 4 in r7c1 -> r6c23, r7c2 <> 1

2. Innies c9: r37c9 = 10 = {19/28/37/46}

3. Outies r12: r3c3467 = 26 -> r3c3467 <> 1 -> r2c6 <> 7

4. Outies r89: r7c3467 = 23

5. Outies N1: r1c4 + r4c23 = 13

6. Outies N3: r1c6 + r4c78 = 15

7. Outies N7: r6c23 + r9c4 = 22 = {499/589/679/688/778}

8. Outies N9: r6c78 + r9c6 = 8 = {116/125/134/224/233} -> r9c6 <> 6

9. Innies r1: r1c159 = 13 -> r1c5 <> 9 (no 1 in r1c19)

10. Innies r5: r5c159 = 14

11. Innies r9: r9c159 = 11 = {146/236/245} -> 10(3) r9 = {235/145/136}

12. LOL N5: r37c5 = r5c46

13. r9c5 max 6 -> r7c6 + r8c56 of 25(4) <> 1

14. 25(4) N8 = {1789/2689/3589/3679/4579/4678} Must have at least two of 7,8,9
-> Killer triple with r9c4 -> r7c5 <> 7,8,9

15. Innies N2: r1c46 + r3c5 = 17

16. Innies N8: r7c5 + r9c46 = 14 = {167/257/347/158/248/149/239}

17. Outies c123: r159c4 = 19 -> r15c4 <> 1
Max from r59c4 = 6+9 = 15 -> r1c4 <> 2,3
Options for split 19(3): [469/568/649/658/739/748/829/847/928/937]

18. Outies c789: r159c6 = 12
Min from r59c6 = 5+1 = 6 -> r1c6 max 6

19. no 1 in r5c46 -> r37c5 <> 1

20. Innies c1234: r2346c4 = 20

21. Innies c6789: r4678c6 = 25

22. 6(2) r78c4 = {15/24} -> r23c4 of 20(4) and r46c4 of 45(9) can’t have both 12/14/25/45

23. Innies N1: r1c23 + r3c12 = 18

24. Innies N3: r1c78 + r3c89 = 16

25. Innies N7: r7c12 + r9c23 = 25 -> r7c1 max 4 -> r7c2 min 5

26. Innies N9: r7c89 + r9c78 = 17

Code: Select all

+------------------------------+-------------------------------+-------------------------------+
| 23456789 123456789 123456789 |   456789   1234678    123456  | 123456789 123456789   345789  |
| 23456789 123456789 123456789 | 123456789 123456789   12356   | 123456789 123456789   345789  |
|   1234    12345678  23456789 |  23456789  23456789   23567   |  23456789 123456789  12346789 |
+------------------------------+-------------------------------+-------------------------------+
|  3456789  12345678  12345678 | 123456789 123456789 123456789 | 123456789 123456789 123456789 |
|  345678    123456    123456  |   23456    12345678   56789   |   56789     56789    12345678 |
|  3456789   456789    456789  | 123456789 123456789 123456789 |   123456    123456  123456789 |
+------------------------------+-------------------------------+-------------------------------+
|   1234     56789    12345678 |    1245     23456    23456789 | 123456789 123456789  12346789 |
|  345678   12345678  12345678 |    1245    23456789  23456789 | 123456789 123456789   56789   |
|  123456     789       789    |    789      123456    12345   |   123456    123456    23456   |
+------------------------------+-------------------------------+-------------------------------+

At this stage I cannot see any useful locked candidates, pointing cells, killer pairs, normal fish (I've never quite understood the finned variety!), or even any eliminations from cage combinations.

Suggestions or next steps welcome.

Posted: **Mon Aug 20, 2007 1:27 pm**

Hi Cathy,

Thanks for starting this off.

CathyW wrote:According to Ed's rating list from Sudoku Solver given in the A61 thread, the V2 has a marginally lower rating than the V1 - 1.28 compared to 1.29 presumably indicating that it shouldn't be any more difficult.

No question about it IMHO. This V2 is significantly harder than the V1. Just shows that there's some more tweaking for Ed to do before we can replace the manual ratings with the automatic ones. In particular, as I mentioned before, ratings typically do not consider one very important factor, namely the narrowness of the solving path. The V1 clearly had quite a wide solving path, otherwise Para would not have been able to have so much fun playing around with it. For this V2, the solution path is probably much narrower. It may be that it's not much more difficult in retrospect, once one has eventually stumbled across the critical move(s), but one has to spend ages finding 'em first! Even so, I cannot believe the V2's solving path is easier than the V1's.

On the other hand, here's some lateral thinking for you:

(i) The low (1.28) rating for this puzzle comes from SudokuSolver, right?
(ii) Computer programs take after their "masters" (i.e., programmers), right?

==> Ergo: Richard should find this V2 a breeze!

However, whilst I'm at it, I can give you a few more moves to keep you going for a while:

Edit: incorporated Cathy's suggestions re:step 28 and updated marks pic.

Assassin V64 V2 Tag Walkthrough (continued)

27. Revisit step 14: {1789} combo blocked by r9c4
27a. -> no 1 in r9c5

28. Outies n6: r37c89+r5c6 = 20(5)
28a. from step 2: r37c9 = 10(2)
28b. -> r37c8+r5c6 = 10(3)
28c. -> no 8,9 in r5c6; r37c8 = {1234}
28d. Combos for split 10(3) r5c6+r37c8 = {127/136/145/235} (no repeated digits, thus can be treated as if all cells were peers of each other)

29. Revisit step 18: {237/156} both blocked by 8(2)n2; 8,9 no longer available
29a. -> 12/3 at r159c6 = {147/246/345}
29b. -> must have 2 of {1234}, only available in r19c6
29c. -> no 5,6 in r19c6
29d. 4 locked in r19c6 for c6

30. 9 of 22(3) locked in r5c78 for n6
30a. {89} only available in r5c78
30b. -> no 5 in r5c78

31. LoL(n5) (step 12): no 8,9 in r3c5

32. Revisit step 11: 10(3)r9 must contain 1 of {56}, only available within n9
32a. -> 11(2)n9 <> {56}

New marks pic after step 32a:

Code: Select all

.-----------.-----------------------------------.-----------.-----------------------------------.-----------.
| 23456789  | 123456789   123456789   456789    | 12345678  | 1234        123456789   123456789 | 345789    |
|           &#58;-----------------------.-----------'           &#58;-----------.-----------------------&#58;           |
| 23456789  | 123456789   123456789 | 123456789   123456789 | 12356     | 123456789   123456789 | 345789    |
&#58;-----------'-----------.           |           .-----------&#58;           |           .-----------'-----------&#58;
| 1234        12345678  | 23456789  | 23456789  | 234567    | 23567     | 23456789  | 1234        12346789  |
&#58;-----------.           '-----------+-----------'           '-----------+-----------'           .-----------&#58;
| 3456789   | 12345678    12345678  | 123456789   123456789   12356789  | 12345678    12345678  | 12345678  |
|           &#58;-----------------------'-----------.           .-----------'-----------------------&#58;           |
| 345678    | 123456      123456      23456     | 12345678  | 567         6789        6789      | 12345678  |
|           &#58;-----------------------.-----------'           '-----------.-----------------------&#58;           |
| 3456789   | 456789      456789    | 123456789   123456789   12356789  | 123456      123456    | 12345678  |
&#58;-----------'           .-----------+-----------.           .-----------+-----------.           '-----------&#58;
| 1234        56789     | 12345678  | 1245      | 23456     | 2356789   | 123456789 | 1234        12346789  |
&#58;-----------.-----------'           |           &#58;-----------'           |           '-----------.-----------&#58;
| 345678    | 12345678    12345678  | 1245      | 23456789    2356789   | 123456789   123456789 | 789       |
|           &#58;-----------------------'-----------&#58;           .-----------'-----------------------&#58;           |
| 123456    | 789         789         789       | 23456     | 1234        123456      123456    | 234       |
'-----------'-----------------------------------'-----------'-----------------------------------'-----------'

Edit: Just noticed that I've been promoted to "Master". Seems like I've got a lot of expectations to live up to now!

Posted: **Mon Aug 20, 2007 3:17 pm**

Excellent! Real progress there Mike. You deserve your Master status!

I would add to your step 28: The combination options for the split 10(3) r5c6+ r37c8 are {145/235/136/127} -> r37c8 = (1234)

Hopefully will post more later - I've also been getting some suggestions from Howard S (a regular on the DJape forum who will shortly be joining us here!)

Cathy x

Posted: **Mon Aug 20, 2007 4:03 pm**

CathyW wrote:I would add to your step 28: The combination options for the split 10(3) r5c6+ r37c8 are {145/235/136/127} -> r37c8 = (1234)

Thanks, Cathy. How could I miss that?

Maybe it's a hint fom above not to get too cocky just because of the new Master status?!

I've modified my post (incl. marks pic) above to incorporate your addition.

CathyW wrote:I've also been getting some suggestions from Howard S (a regular on the DJape forum who will shortly be joining us here!)

I don't visit the DJApe forum very often, but when I do (every now and again) I see Howard's name everywhere! So it will be a real boost to have him on the team. Look forward to that.

Posted: **Mon Aug 20, 2007 4:24 pm**

A few more:

Acknowledging assistance of Howard S for steps 33 and 34

33. r7c12 = 8, 9 or 10 (because r7c12 + r9c23 = 25)
-> r6c23 = 13, 14, or 15
-> r45c23 = 10,11 or 12
-> r4c23 <> 7,8

34. Combination options for split 17(3) N2: {179/269/278/359/368/458/467}
Analysis: r1c4 <> 4,5, r3c5 <> 2,3,4

35. Outies N4: r37c2 + r5c4 = 16

36. Revisit step 6: r1c6 + r4c78 = 15 = {168/258/267/348/357/447/456}
Analysis: r4c78 <> 1,2
-> 1,2 locked to r45c9, r6c789 -> r7c9 <> 1,2 -> r3c9 <> 8,9

37. 15(3) r1c678: r1c6 is max 4 -> r1c78 min 11 -> r1c78 <> 1

38. Split 19(3) r159c4 = {289/379/469/478/568}
Analysis: r5c4 <> 6
-> (from step 35) max from r5c4+r7c2 = 5+9 = 14 -> r3c2 <> 1

39. 6 locked to r12346c4 -> r3c5 <> 6
-> split 17(3) N2 must now have one of 5,7. If combo includes 7 it must go in r3c5 -> r1c4 <> 7

40. split 17(4) r7c89+r9c78 = {1259/1268/1349/1358/1367/1457/2348/2357/2456}
Analysis: r7c9 <> 3 -> r3c9 <> 7

41. 9 locked to r3c347 within split 26(4) -> 26(4) r3c3467 = {9...}
Options: {2789/3689/4589/4679}
If {4589} r3c6 = 5 -> r3c347 <> 5

Updated marks pic:

Code: Select all

+------------------------------+------------------------------+------------------------------+
| 23456789 123456789 123456789 |    689     1234678    1234   |  23456789  23456789  345789  |
| 23456789 123456789 123456789 | 123456789 123456789   12356  | 123456789 123456789  345789  |
|   1234    2345678   2346789  |  2346789      57      23567  |  2346789     1234     12346  |
+------------------------------+------------------------------+------------------------------+
|  3456789   123456    123456  | 123456789 123456789 12356789 |   345678    345678  12345678 |
|  345678    123456    123456  |    2345    12345678    567   |    6789      6789   12345678 |
|  3456789   456789    456789  | 123456789 123456789 12356789 |   123456    123456  12345678 |
+------------------------------+------------------------------+------------------------------+
|   1234     56789    12345678 |    1245     23456    2356789 | 123456789    1234     46789  |
|  345678   12345678  12345678 |    1245    23456789  2356789 | 123456789 123456789    789   |
|  123456     789       789    |    789      23456     1234   |   123456    123456     234   |
+------------------------------+------------------------------+------------------------------+

Some progress but still a long way to go ...

Posted: **Mon Aug 20, 2007 5:03 pm**

One small new piece of info

If R9C4=7 R6C23=15
If R9C4=8 R6C23=14
If R9C4=9 R6C23=13=> R7C12=46I19 => R6C23<>94
=> R6C23<>4

Posted: **Mon Aug 20, 2007 6:15 pm**

Might as well jump in for a couple of quick moves:

43. 45 on n3 - outies total 15.
43a. r4c78 max is 13 to fit with the 16(4) cage
43b. so cannot have 1 at r1c6

44. 45 on n9 - outies r6c78+r9c6 total 8.
44a. only possibility with 6 is {16}1 but {16} would block all possibilities in 12(3)n6
44b. so cannot have 6 at r6c78

45. 15(4)n69 - only combinations with a 4 also require an 8, 7 or 6 which only occur at r7c9
45a. cannot have a 4 at r7c9
45b. innies of c9 =10 - so no 6 at r3c9

Posted: **Mon Aug 20, 2007 7:20 pm**

Welcome Howard! Glad you could join us.

Just to clarify Richard's step 44 the options for the 12(3) r456c9 are {138/147/156/246}
{237} is blocked by the 11(2) in N9, {345} is blocked by the 12(2) in N3.
Don't think this has been specified previously.

and a couple more minor steps:

46. Split 25(4) in r4678c6 must have 8 and 9. Options: {1789/2689/3589}

47. Innies r123: r3c12589 = 19. Max from r1589 = 2+3+4+7 = 16 -> r3c2 <> 2

Posted: **Mon Aug 20, 2007 10:05 pm**

Building on 47 innies

48. Innies = 19(5)={12349}/{12358}/{12367}/{13457}/{13456}
48a. {12349} - no 9 so not poss
48b. {12358} - r3c5=5 r3c189={123} - r3c2=8
48c. {12367} - r3c5=7 r3c189={123} - r3c2=6
48d. {13457} - r3c5=5/7 r3c189={134} - r3c2=7/5
48e. {13456} - r3c5=5 r3c189={134} - r3c2=6
48f. So no 3, 4 at r3c2

Posted: **Mon Aug 20, 2007 10:11 pm**

Hi all

I am/was still trying to solve it by myself.
I haven't run through all steps but from the last marks pic and the steps afterwards these eliminations are still valid.

[edit] Guess i have nothing to add then

greetings

Para

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