Contemplating that the variety of attainable choices for the most important seize is 9, the most important variety of strikes ought to come from positions with no captures out there, the place there are as many kings as attainable.
I merely performed from the beginning place a sport during which White managed to create 7 kings, leaving him 7 * 4 = 28 authorized strikes on this place W:B28,K32:WK6,K7,K8,K14,K15,K16,K22.
If there’s a sequence of strikes during which White creates 8 kings and locations the eighth king on the sq. 23 Earlier than the 40-move rule comes into impact, White would have 8 * 4 = 32 authorized actions.
Going even additional, if White creates 9 or 10 kings and locations them in the identical means, besides kings 9 and 10 someplace on the sting, then White would have 8 * 4 + 1 * 2 = 34 both 8 * 4 + 2 * 2 = 36 authorized actions.
If I can show that white or black can by no means create greater than 7, 8 or 9 kings from the beginning place (as a result of the opposite facet is compelled to seize), then I might have a solution.
36 strikes looks as if an affordable higher restrict, since that will imply that the opposite facet has solely captured 2 items, which appears not possible. Even capturing simply 3 items appears not possible.
My very own reply would not fulfill me very a lot, so I maintain searching for info.
