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Daily Jigsaw 49 Sunday April 29: Ultra Hard tag

 
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sudokuEd
Grandmaster
Grandmaster


Joined: 19 Jun 2006
Posts: 257
Location: Sydney Australia

PostPosted: Thu May 03, 2007 12:03 pm    Post subject: Daily Jigsaw 49 Sunday April 29: Ultra Hard tag Reply with quote

Been a hevvie week. Wink

Have last Sunday's ultra-hard to here. Anyone else want to work on it? If we get stuck for 24 hours, someone gets a hint from SumoCue and runs with it.

Kept track of the steps below.

Cheers
Ed
Code:
.--------.--------.--------.--------.--------.--------.--------.--------.--------.
| 235    | 9      | 2356   | 256    | 1      | 4      | 7      | 238    | 58     |
:--------+--------+--------+--------+--------+--------+--------+--------+--------:
| 1      | 23456  | 23456  | 2457   | 359    | 23569  | 238    | 479    | 4578   |
:--------+--------+--------+--------+--------+--------+--------+--------+--------:
| 23     | 2347   | 8      | 457    | 349    | 59     | 1459   | 1479   | 6      |
:--------+--------+--------+--------+--------+--------+--------+--------+--------:
| 58     | 45678  | 4569   | 45     | 2      | 159    | 1569   | 479    | 3      |
:--------+--------+--------+--------+--------+--------+--------+--------+--------:
| 7      | 3456   | 34569  | 1      | 3459   | 8      | 3569   | 369    | 2      |
:--------+--------+--------+--------+--------+--------+--------+--------+--------:
| 4      | 1235   | 359    | 8      | 6      | 1359   | 12359  | 12379  | 157    |
:--------+--------+--------+--------+--------+--------+--------+--------+--------:
| 6      | 12358  | 1235   | 9      | 7      | 23     | 238    | 1234   | 145    |
:--------+--------+--------+--------+--------+--------+--------+--------+--------:
| 238    | 238    | 1245   | 2456   | 45     | 7      | 123468 | 123468 | 9      |
:--------+--------+--------+--------+--------+--------+--------+--------+--------:
| 9      | 124    | 7      | 3      | 8      | 26     | 1246   | 5      | 14     |
'--------'--------'--------'--------'--------'--------'--------'--------'--------'

Code:
.--.--.--.--.--.--.--.--.--.
|1 |1 |1 |2 |2 |2 |2 |2 |3 |
:--+--+--+--+--+--+--+--+--:
|1 |1 |1 |1 |2 |2 |2 |3 |3 |
:--+--+--+--+--+--+--+--+--:
|4 |4 |1 |1 |5 |2 |3 |3 |3 |
:--+--+--+--+--+--+--+--+--:
|4 |4 |4 |5 |5 |5 |6 |3 |3 |
:--+--+--+--+--+--+--+--+--:
|7 |4 |4 |4 |5 |6 |6 |6 |3 |
:--+--+--+--+--+--+--+--+--:
|7 |7 |4 |5 |5 |5 |6 |6 |6 |
:--+--+--+--+--+--+--+--+--:
|7 |7 |7 |8 |5 |9 |9 |6 |6 |
:--+--+--+--+--+--+--+--+--:
|7 |7 |8 |8 |8 |9 |9 |9 |9 |
:--+--+--+--+--+--+--+--+--:
|7 |8 |8 |8 |8 |8 |9 |9 |9 |
'--'--'--'--'--'--'--'--'--'



1. 1 in r3 only in n3: no 1 r4c8

2. 1 in n5 only in c6: 1 locked for c6

3. 7 in n4 only in c2: 7 locked for c2

4. 7 in n1 only in c4:7 locked for c4

5. 7 in r8 only in n9: 7 locked for n9

6. 8 in c9 only in n3: 8 locked for n3

7. 8 in n5 onlyh in c4: 8 locked c4

8. 8 in n23 only in r12: X-Wing: 8 locked r12
8a. r3c3 = 8

9. 7 in n36 only in c89: X-Wing: 7 locked c89
9a. r8c6 = 7

10. 7 in r6 only in n6: 7 locked n6
10a. r7c5 = 7

11. 8 in n4 only in r4:8 locked r4
11a. r6c4 = 8

12. Combined Peer Elimination (CPE) for n8: no 1 r8c2

13. 2 in r12 only in n12: X-Wing -> no 2 r3c46

14. 2 in r3 only in n4: 2 locked n4

15. 3 in r12 only in n12: X-wing -> 3 locked n12 (no 3 r3c6)

16. 4 in r89 only in n89: X-Wing -> 4 locked for n89 (no 4 r7c47)

17. 4 in r7 only in n6: 4 locked n6

18. 5 in n36 only in c79: X-Wing -> no 5 r2c7

19. 9 in n78 only in r79: X-Wing -> no 9 r7c8

20. 9 in n36 only in c78: X-Wing -> no 9 r2c7

21. LoL r123: r3c125 = r4c89+r5c9 -> no 5 r3c125

22. LoL r89: r7c467 = r8c12 + r9c1 -> no 1 r7c7

23. LoL c789: r12c7+r1c8 = r578c6 -> no 6 r1c8 and r2c7

24. CPE 6's n2 -> no 6 r2c4

25. 6 in n14 only in c23: X-Wing -> no 6 r8c3 and r9c2

26. 2 7's n4 -> no 9 r4c1
26a. 7 r4c2 -> 8 r4c1 -> no 9 r4c1
26b. 7 r3c2 -> 2 r3c1 -> 9 r9c1 -> no 9 r4c1

27. no 9 r4c4 because of 9's in c1
27a. 9 in r3c1 -> 9 in n2 in r2 -> 9 in n3 in r4c8 -> no 9 r4c4
27b. 9 in r9c1 -> 9 in n8 in r7c4 -> no 9 r4c4

28. r7c4 = 9 (hsingle c4)
28a. r9c1 = 9

29. 5 in n8 only in r8:5 locked for r8
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Para
Yokozuna
Yokozuna


Joined: 08 Nov 2006
Posts: 384
Location: The Netherlands

PostPosted: Thu May 03, 2007 1:46 pm    Post subject: Reply with quote

30. R1C4 <> 5
30a. R9C6 = 6 -> R1C4 = 6
30b. R9C6 = 2 -> 2 in Nonets 69 loced for C78 -> R1C4 = 2
30c Conclusion R1C4 = {26}

31. R7C6 <> 2 because of 2's in R9
31a. R9C7 = 2: R7C6 <> 2
31b. R9C6 = 2: R7C6 <> 2
31c. R9C2 = 2 -> R3C1 = 2 -> R7C3 = 2: R7C6 <> 2

32. R7C6 = 3
32a. 3 in R8 locked for N7: R6C2 <> 3
32b. 3 in N5 locked for C5: R2C5 <> 3
32c. Hidden pair {38} in R1C8+R2C7 in N2

33. R2C4 <> 2: sees all 2's in N2.

34. Naked triple {457} in R234C4: locked for C4

35. Naked triple {159} in R346C6: locked for C6

36. Naked Pair {26} in R8C4 + R9C6: locked for N8

37. Naked Pair {59} in R2C5 + R3C6: R3C5 <> 9

38. LOL R123: R3C125 = R4C89+R5C9: R4C8 <> 9

39. Naked Pair {14} in R9C29: locked for R9

40. Empty rectangle on 1: R7C9 <> 1
40a. R9C9 = 1: R7C9 <> 1
40b. R9C2 = 1 -> R7C3 = 1: R8C9 <> 1

41. R4C2367 <> 5 because of 5's in C1.
41a. R4C1 = 5: R4C2367 <> 5
41b. R1C1 = 5 -> R4C4 = 5: R4C2367 <> 5

42. R1C3 + R2C23 <> 5 because of 5's in C4.
42a. R4C4 = 5 -> R1C1 = 5: R1C3 + R2C23 <> 5
42b. R23C4 = 5: R1C3 + R2C23 <> 5

43. R3C7 <> 5 because of 5's in C6.
43a. R3C6 = 5: R3C7 <> 5
43b. R6C6 = 5-> R7C2/3 = 5 -> R5C7 = 5: R3C7 <> 5

44. 5 in N3 locked for C9

And the rest is all singles.

greetings

Para
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