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Assuming Perelman's estimates, we give a new proof of uniform $L^\infty$estimate along normalized K\"ahler-Ricci flow on Fano manifolds withK\"ahler-Einstein metrics, using Chen-Cheng's auxiliary Monge-Amp\`ere equationand the Alexandrov-Bakelman-Pucci maximum principle. This proof does not usepluripotential theory.

$L^\infty$ estimates for K\"ahler-Ricci flow on K\"ahler-Einstein Fano manifolds: a new derivation