The maximum shaded squares of a hitori of area A approaches A/3 (!)
The maximum shaded squares of a yajilin of area A approaches A/3 (!!!!!)
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That second one really doesn't seem correct. Also, what's the proof of the first one?
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I agree the second seems wrong. Here's my logic: gyazo.com/4cef4172d23eba. I haven't formally proven either though.
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I think I see the arrangement for the (2^n)+1 by (2^n)+1 Hitori now; it's similar to this: puzzlepicnic.com/puzzle?4567
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yes, that alone is enough to show that hitori and yajilin can get A/3 black squares at least as a limit