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Spoiler for I think I have it
Unless they both start with zero (which would make the game pointless), in which case that both A and B would always have the same amount, then whoever takes the 100th turn will have the most, as they'll have 50% of their opponent's points plus the points they already had.
As B has the 100th turn (which is in the 14th set of turns taken between the two of them), B will have the most points at the end of turn 100.
As B has the 100th turn (which is in the 14th set of turns taken between the two of them), B will have the most points at the end of turn 100.
