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Killer Swordfish example
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Nick70

Joined: 08 Jun 2005
Posts: 160
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Items
PostPosted: Thu Aug 04, 2005 10:22 pm    Post subject: Reply with quote

AMcK wrote:
Thanks to you both for assistance. I see that my "simple logic" pre-solver had missed the N=2 pair in column 6 and I was colouring from {3,6}=348 rather than your 48.

??? The 3 in r3c6 is removed by the swordfish. That was the whole point of the puzzle!

AMcK wrote:
but I'm still looking for a logically solvable puzzles that supercolouring can't solve.

Actually you were looking for a swordfish that supercoloring couldn't solve--which is the puzzle above.

If you want logically solvable puzzles that cannot be solved by supercoloring, I can give you plenty. Here are two:

Code:
..8.2.7.1
.356.....
9........
.....5...
..2.1.8..
...4.....
........4
.....752.
7.1.8.3..

..4.8.6.1
.356.....
7........
.....5...
..6.1.8..
...4.....
........7
.....752.
5.8.6.3..

The coloring algorithm can however be extended to deal with them.
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