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7

A quick calculation first Parity argument Slightly more detail Answer


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4

As there are quite a few possible solutions and seeing that it is "A Bishop's Walk" here is one that tries to use as many bishopy (aka diagonal) moves as possible:


6

Like so? The beginning seems almost forced (apart from symmetries), and the rest just fell in place on the first attempt.


5

This is possible precisely for the Proof: Necessity: Sufficiency:


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