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Advantage Increase on the computer analysis

Ok i had this game recently.
http://tr.lichess.org/analyse/99th3mso

in 32th move of black, computer suggests h5 which was right and advantage of white increases to 4.3 when he didn't do that. ok till now it was fine but after i made the obvious g4 pawn push check, advantage suddenly doubles to 8.

till now i was thinking advantage of players increases or decreases because of the moves they didn't do. isn't this interesting i mean after he didn't move h5 and goes for Kf5 advantage shoud have been 8 not 4.3. i mean the g4 check isn't a hidden super killer move to find. it was obvious.

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