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XY chains

 
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audrey88



Joined: 12 Aug 2007
Posts: 1
PostPosted: Sun Aug 12, 2007 10:46 pm    Post subject: XY chains Reply with quote
Can you explain to me what is meant by an XY chain? Once I get that figured out, maybe more complicated terminology will become clear.
Thanks.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sun Aug 12, 2007 11:45 pm    Post subject: Reply with quote
Welcome to the forum. Here's one explanation of the XY-Chain.

http://www.sudokuonline.us/xy-chains.php
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
PostPosted: Mon Aug 13, 2007 12:23 am    Post subject: Reply with quote
The puzzle below is helpful for practicing the XY Chain technique. Posted recently on another thread, from the position shown the remainder of the puzzle can be solved using nothing but XY Chains.
Code:
+---------------+--------+---------------+
| 345  1345 8   | 9  7 6 | 2   1345 135  |
| 249  47   129 | 3  5 8 | 146 479  69   |
| 3579 6    59  | 4  1 2 | 35  8    3579 |
+---------------+--------+---------------+
| 68   2    7   | 16 4 5 | 9   13   1368 |
| 1    9    56  | 8  3 7 | 56  2    4    |
| 4568 45   3   | 16 2 9 | 7   15   1568 |
+---------------+--------+---------------+
| 357  8    15  | 2  9 4 | 135 6    357  |
| 269  35   269 | 7  8 1 | 345 3459 2359 |
| 29   17   4   | 5  6 3 | 8   179  129  |
+---------------+--------+---------------+
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