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Extra groups in windoku

 
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Pete

Joined: 09 Jun 2008
Posts: 18
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Location: Somerset, NJ

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PostPosted: Fri Aug 08, 2008 6:20 pm    Post subject: Extra groups in windoku Reply with quote

I've been playing with windoku lately. For those of you who have not seem windoku, it's a standard sudoku with 4 extra groups added:

Code:
.........
.aaa.bbb.
.aaa.bbb.
.aaa.bbb.
.........
.ccc.ddd.
.ccc.ddd.
.ccc.ddd.
.........


So each cell marked 'a' above belongs to another nonet. The same applies to the cells marked 'b', 'c', and 'd'.

It turns out that there are extra groups that are not so obvious. In fact, every cell belongs to an extra group:

Code:
ieeeifffi
gaaagbbbg
gaaagbbbg
gaaagbbbg
ieeeifffi
hccchdddh
hccchdddh
hccchdddh
ieeeifffi


I've noticed a similar pattern in 16x16 windoku.

These extra groups make the puzzles a good deal easier to solve.
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