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Utilizing the dataset corresponding to an integrated luminosity of fb at GeV collected by the BESIII detector, we report the first amplitude analysis and branching fraction measurement of the decay. We investigate the sub-structures and determine the relative fractions and the phases among the different intermediate processes. Our results are used to provide an accurate detection efficiency and allow measurement of ${\cal B}(D^0\rightarrow K^-\pi^+\pi^0\pi^0) ,=, (8.86 \pm 0.13() \pm 0.19())%$.

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