Solution (272 points) (20 evens + 16 odds)
I forgot to write "Same numbers can not be on neighbouring squares", like in the example. So I apologize, the puzzle
became less competitive.
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272: 322332, 245443, 255443, 344552, 344542, 233223
20 answers with a score of 272,
4 answers with a score of 268,
1 answer with a score of 264.
Rated 7.80 by 84 competitors who attended PQRST 04.
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