Contemplating the truth that the variety of alternatives for the most important seize is 9, the most important variety of strikes ought to come from positions with no captures accessible, the place there are as many kings as potential.
I simply self performed from the preliminary place a recreation the place white has managed to create 7 kings, leaving it 7 * 4 = 28 authorized strikes on this place W:B28,K32:WK6,K7,K8,K14,K15,K16,K22.
If there exists a sequence of strikes the place white creates 8 kings and locations the eighth king on sq. 23 earlier than the 40-moves rule kicks in, then white would have 8 * 4 = 32 authorized strikes.
Going even additional, if white creates 9 or 10 kings and locations them in the identical vogue, aside from ninth and tenth kings someplace on the sting, then white would have 8 * 4 + 1 * 2 = 34 or 8 * 4 + 2 * 2 = 36 authorized strikes.
If I can show that white or black can by no means create greater than 7, 8 or 9 kings from the preliminary place (as a result of the opposite aspect is compelled to seize), then I’d have a solution.
36 strikes appears an affordable higher sure, since that may imply that the opposite aspect has solely captured 2 items, which seems to be not possible. Even capturing solely 3 items appears not possible.
My very own reply does not fulfill me a lot, so I am nonetheless in search of information.
