Lost Prisoner Tally
Keywords: Theory
Is it possible to restore both prisoner tallies, or at least their difference, by only looking at the final position (provided both players passed equally often, as in most cases) ?
The answer is, no.
The (trivial) proof:
This (non-seki)
The problem, of course, is that one does not know who played the last stone:
NB + PB = NW + PW + X <=> PB - PW = NW - NB + X
(with N on board, P off board, and X either 0 or 1)
I wouldn't have cared to add this go triviality if the tally master himself hadn't ignored it once ;-)
-- Robert Pauli