Red to move - win/lose division

On nx2 the removed men should be in different rows. If they are adjacent, blue wins by symmetry, but most of the time blue doesn't need that to win just the same. The shadow of this initial behaviour seems to extend over all boardsizes. Note that red, if he wins, can't lose.

Red win	Blue win	can he lose?
		no
		no
		no

Red win	Blue win	can he lose?
		no
		no
		no
		no

Red win	Blue win	can he lose?
		no
		no
		no
		no
		no
		no
		no

Red win	Blue win	can he lose?
		no
		yes
		no
		no
		no
		yes
		no
		no
		no
		no
		no

2nx1 boards
nx3 boards
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