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Need help. http://www.rcbroughton.co.uk/sudoku/forum/viewtopic.php?f=5&t=408 |
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Author: | Børge [ Tue Feb 10, 2009 8:14 pm ] |
Post subject: | Need help. |
I need help with the following puzzle: 006000207000070050002500004005040001900306005400010300500002400060090000103000900 Using only Basic Techniques (N/H-Subsets and Intersections) I can solve this puzzle as far as follows: Code: +----------------------+----------------------+----------------------+ | 38 5 6 | 14 38 14 | 2 9 7 | | 38 14 14 | 2 7 9 | 6 5 38 | | 7 9 2 | 5 6 38 | 1 38 4 | +----------------------+----------------------+----------------------+ | 6 3 5 | 9 4 78 | 78 2 1 | | 9 178 178 | 3 2 6 | 78 4 5 | | 4 2 78 | 78 1 5 | 3 6 9 | +----------------------+----------------------+----------------------+ | 5 78 9 | 178 38 2 | 4 1378 6 | | 2 6 478 | 1478 9 13478 | 5 1378 38 | | 1 478 3 | 6 5 478 | 9 78 2 | +----------------------+----------------------+----------------------+ To complete the puzzle I need two Advanced Techniques plus Basic Techniques. Almost any combination of two Advanced Techniques cracks the puzzle. Here are a couple of possibilities: Hidden Text: What I am trying to figure out is if it is possible to solve this puzzle using a single Advanced Technique only, plus Basic Techniques. My analysis (which could be flawed) concludes that to solve the puzzle using a single Advanced Technique only, this technique must determine the solution for one of the eight green coloured cells, which all takes either the digit 7 or 8 as its solution. Any bright ideas? |
Author: | tarek [ Fri Feb 13, 2009 8:25 pm ] |
Post subject: | Re: Need help. |
I couldn't find the desired step. Børge, The Players' forum has many players who solve even the impossible ones manually. I'm sure you'll find your answer there. tarek |
Author: | leeo [ Fri Sep 03, 2010 1:16 am ] |
Post subject: | Re: Need help. |
..6...2.7....7..5...25....4..5.4...19..3.6..54...1.3..5....24...6..9....1.3...9.. after applying singles Code: 38 ```5 ```6 | 1489 38 13489 | `2 ``389 ``7 38 1489 1489 | ```2 `7 13489 | `6 ````5 389 `7 ``89 ```2 | ```5 `6 ``389 | `1 ``389 ``4 -------------+---------------+-------------- `6 ```3 ```5 | `789 `4 ``789 | 78 ````2 ``1 `9 `178 `178 | ```3 `2 ````6 | 78 ````4 ``5 `4 ```2 ``78 | `789 `1 ````5 | `3 `6789 689 -------------+---------------+-------------- `5 `789 `789 | 1678 38 ````2 | `4 13678 368 `2 ```6 `478 | 1478 `9 13478 | `5 `1378 `38 `1 `478 ```3 | 4678 `5 ``478 | `9 ``678 ``2 naked pair r1.15 {38}.468// in row 1, col's 1 and 5 the naked pair {38} preempts the same candidates from r1c4, r1c6 and r1c8 assert singles again Code: 38 ```5 ```6 | ``14 38 ```14 | `2 ```9 `7 38 1489 1489 | ```2 `7 13489 | `6 ```5 38 `7 ``89 ```2 | ```5 `6 ``389 | `1 ``38 `4 -------------+---------------+------------ `6 ```3 ```5 | ```9 `4 ```78 | 78 ```2 `1 `9 `178 `178 | ```3 `2 ````6 | 78 ```4 `5 `4 ```2 ``78 | ``78 `1 ````5 | `3 ```6 `9 -------------+---------------+------------ `5 `789 `789 | `178 38 ````2 | `4 1378 `6 `2 ```6 `478 | 1478 `9 13478 | `5 1378 38 `1 `478 ```3 | ```6 `5 ``478 | `9 ``78 `2 naked pair r2.19 {38}.236 naked pair b1.14 {38}.8 // the positions 1 and 4 of box 1 have a naked {38}, preempting it from box 1 position 8 assert singles Code: 38 ``5 ``6 | ``14 38 ```14 | `2 ```9 `7 38 `14 `14 | ```2 `7 ````9 | `6 ```5 38 `7 ``9 ``2 | ```5 `6 ```38 | `1 ``38 `4 -----------+---------------+------------ `6 ``3 ``5 | ```9 `4 ```78 | 78 ```2 `1 `9 178 178 | ```3 `2 ````6 | 78 ```4 `5 `4 ``2 `78 | ``78 `1 ````5 | `3 ```6 `9 -----------+---------------+------------ `5 `78 ``9 | `178 38 ````2 | `4 1378 `6 `2 ``6 478 | 1478 `9 13478 | `5 1378 38 `1 478 ``3 | ```6 `5 ``478 | `9 ``78 `2 ff {3} r1c5 % r37 > c8 // this is a sashimi fish fin, {3} cannot be in r1c5 because then rows three and seven would only have candidate {3}'s in column eight alone. assert singles Code: 3 ``5 ``6 | `14 8 `14 | `2 9 7 8 `14 `14 | ``2 7 ``9 | `6 5 3 7 ``9 ``2 | ``5 6 ``3 | `1 8 4 ----------+-----------+-------- 6 ``3 ``5 | ``9 4 `78 | 78 2 1 9 178 178 | ``3 2 ``6 | 78 4 5 4 ``2 `78 | `78 1 ``5 | `3 6 9 ----------+-----------+-------- 5 `78 ``9 | `78 3 ``2 | `4 1 6 2 ``6 `47 | 147 9 147 | `5 3 8 1 `48 ``3 | ``6 5 `48 | `9 7 2 naked pair c4.67 {78}.8 house innersection claim b7 {8} c2.5 // box 7 claims the {8} out of column 2 position 5 (r5c2) ff {7} r5c2 % r67 > c4 // sashimi fish fin r5c2 cannot be {7} because rows 6 and 7 then only have candidate {7} in column 4 alone Code: 3 `5 ``6 | 14 8 `14 | `2 9 7 8 14 `14 | `2 7 ``9 | `6 5 3 7 `9 ``2 | `5 6 ``3 | `1 8 4 ---------+----------+-------- 6 `3 ``5 | `9 4 `78 | 78 2 1 9 `1 178 | `3 2 ``6 | 78 4 5 4 `2 `78 | 78 1 ``5 | `3 6 9 ---------+----------+-------- 5 78 ``9 | 78 3 ``2 | `4 1 6 2 `6 `47 | 14 9 147 | `5 3 8 1 48 ``3 | `6 5 `48 | `9 7 2 naked singles from here to the end. |
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