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Unique Rectangles (Nightmare March 1, 2006)

 
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keith



Joined: 19 Sep 2005
Posts: 3150
Location: near Detroit, Michigan, USA

PostPosted: Mon Mar 20, 2006 10:50 pm    Post subject: Unique Rectangles (Nightmare March 1, 2006) Reply with quote

The Nightmare of March 1 is very interesting. No matter which way you go, it is dripping with unique rectangles. I think it is a great tutorial. This is the starting position:
Code:


+----------------------+----------------------+----------------------+
| 237    2357   235    | 236    2678   4      | 9      568    1      |
| 12349  1234   239    | 5      12689  3689   | 7      468    3468   |
| 8      6      359    | 139    179    379    | 2      45     345    |
+----------------------+----------------------+----------------------+
| 36     358    358    | 69     5679   1      | 4      2      356789 |
| 1246   12458  258    | 2469   3      5679   | 1568   156789 56789  |
| 12346  9      7      | 8      2456   56     | 1356   156    356    |
+----------------------+----------------------+----------------------+
| 79     78     6      | 149    14589  589    | 158    3      2      |
| 379    378    1      | 3469   45689  2      | 568    456789 456789 |
| 5      238    4      | 7      1689   3689   | 168    1689   689    |
+----------------------+----------------------+----------------------+



You can solve it with basic techniques until a couple of rectangles are needed to finish. Or, you can find rectangles almost immediately.

Best wishes,

Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5127
Location: Rochester, NY, USA

PostPosted: Wed Mar 22, 2006 5:47 pm    Post subject: Reply with quote

Yep, rectangles all over the place. Eventually, I was able to use three of them en route to completion.

By the way, I like puzzles served up with candidates already filled in; sure saves a lot of grunt work! Very Happy
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