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very challenging

 
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Ajò Dimonios



Joined: 01 May 2017
Posts: 339
Location: Sassari Italy
PostPosted: Sat Jun 10, 2017 10:33 pm    Post subject: very challenging Reply with quote
Hi eveyone

Code:

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

Play this puzzle online at the Daily Sudoku site

Ciao a tutti
Paolo
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Ajò Dimonios



Joined: 01 May 2017
Posts: 339
Location: Sassari Italy
PostPosted: Sun Jun 11, 2017 10:49 pm    Post subject: Reply with quote
Hi everyone

If 4 is true in R1C2=>contradiction, R9C9 is empty then 4 is false and can be eliminated.
If 4 is true in R1C3=>contradiction, there are two 8 sure in block 3 then 4 is false and can be eliminated.
If 7 is true in r5C8=>solution stte
Code:

+-------------------+---------------------+-----------------+
| 1     5789  79    | 5678  35678  356789 | 34689 689 2     |
| 289   789   3     | 4     1678   26789  | 689   5   189   |
| 24589 6     249   | 1258  1358   23589  | 7     189 13489 |
+-------------------+---------------------+-----------------+
| 23569 13579 12679 | 5678  5678   5678   | 23689 4   1389  |
| 2469  49    2469  | 3     468    1      | 2689  7   5     |
| 3456  13457 8     | 9     2      4567   | 36    16  13    |
+-------------------+---------------------+-----------------+
| 34689 2     469   | 5678  345678 345678 | 1     89  4789  |
| 7     13489 149   | 1258  13458  23458  | 24589 289 6     |
| 468   148   5     | 12678 9      24678  | 248   3   478   |
+-------------------+---------------------+-----------------+

Play this puzzle online at the Daily Sudoku site
Ciao a tutti
Paolo
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium
PostPosted: Mon Jun 12, 2017 4:42 am    Post subject: Reply with quote
r8c5=5; HP(34)r1c7.r3c9
Code:
+------------------------+------------------------+----------------------+
| 1       4589-7  (479)  | 5678    35678   356789 | 34     (689)   2     |
| (289)   (789)   3      | 4       167-8   267-89 | (689)  5       (189) |
| 4589-2  6       (249)  | 1258    1358    23589  | 7      (189)   34    |
+------------------------+------------------------+----------------------+
| 23569   13579   1267-9 | 5678    5678    5678   | 23689  4       13789 |
| 2469    479     267-49 | 3       4678    1      | 2689   267-89  5     |
| 3456    13457   8      | 9       2       4567   | 36     167     137   |
+------------------------+------------------------+----------------------+
| 3489-6  2       (469)  | 5678    345678  345678 | 1      (789)   489-7 |
| 7       3489-1  (149)  | 128     1348    2348   | 5      (289)   6     |
| (468)   (148)   5      | 1267-8  9       267-48 | (248)  3       (478) |
+------------------------+------------------------+----------------------+
Valid Continuous All Cell Loop A={R29C1279, R1378C38} -> -{1r8c2, 2r3c1, 4r5c3.r9c6, 6r7c1, 7r1c2.r7c9, 8r2c56.r5c8.r9c46, 9r2c6.r5c8.r45c3}

Solving A and the HP(34) :
1a. (27)r78c8 | (27)r9c79 -> 0 solution
1b. (27)r9c6.r7c8 + 4r3c1 -> 0 solution via {4B4, 8B14}, 3 singles and {9B31}
1c. (27)r9c6.r7c8 + 4r3c3 -> 0 solution
1d. Conclusion : r8c8.r9c9=27
2. 3r1c7 + (68)r9c9 -> 0 solution; r1c7=4 and stte
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