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 Post subject: Mean 38 and Mean ORC 39
PostPosted: Mon Jul 27, 2020 5:59 am 
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Grand Master
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Joined: Wed Apr 30, 2008 9:45 pm
Posts: 634
Mean ORC (not AK) A-S & OL

Meandoku the following colour clues apply:
Green: the sum of the two adjacent cells is 8 or 9 only
Blue: the sum of the two adjacent cells is ten
Red: the sum of the two adjacent cells is 11 or 12 only
Yellow: the sum of the two cells is below eight
Black: the sum of the two cells is above twelve

Odd Row and Column - ORC - so it is:
ORC: odd rows and columns are 1-9 no repeat; even ones are not (i.e. they can repeat).
NN: no nonets

For all cells:
FNC: Ferz Non-consecutive - diagonally adjacent are not consecutive
NC: adjacent cells are not consecutive

It is not Anti-King
There is the old lace group in the centre and the two reverse snakes that overlap with it.
This is hard or perhaps more correctly intricate, as no individual move is too hard.



Image

Mean 38 LS AK NC FNC OL

This one started life as an ORC but my preferred solution had no repeats in the even rows and columns, so an ordinary Latin square.

For all cells:
AK: Anti-King - diagonally adjacent are not equal
FNC: Ferz Non-consecutive - diagonally adjacent are not consecutive
NC: adjacent cells are not consecutive

Note that (although I did not use it)
it is 1 to 9 NC and wrap NC

There are 72 solutions so essentially one; given nine numbers and three symmetries (left-right, top-bottom and increasing-decreasing). In one sloped direction there are keima (knights move) repeats and in the other there is a keima one to nine climb.

Image


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