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What is the centi pawn loss cap? Lets see...

This thread is a delight...good work from everyone :)
Here’s my attempt, using Rise’s 2... Qg5!! technique. I made sure that starting from move 5, the entire game oscillates between #1 and #−1, and ended it at exactly 100th move to avoid dividing by too much when averaging. Still 1970/1980, this appears to be the max, not even helped by the fact Stockfish now considers 1. g4 to be a mistake (which wasn’t the case for Rise’s game).

Also my final position is prettier than all of yours :−P

en.lichess.org/gRL5liCv#200
nice ones guys! special mentions to @Abnew123 for finding a different mechanism to 1970/1980 and @rdaysky for the most beautiful 1970/1980 game :o
In antichess it’s much easier :-)

en.lichess.org/yM9XFgJr#4

Though the game-losing 1. e4 apparently only contributes 1k cp, so more moves are necessary. Stockfish must have missed the memo that the score for the initial position is something like #50 rather than +1.1 :-)

(The longest path in the recent proof that 1. e3 wins is this: en.lichess.org/xAL228IE — though it can be shortened by quite some amount.)

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