When does the OED3 think "Hamlet" was written?

[Joel S. Berson]

Under "Polack, n. and adj.", updated September 2006, there are two
quotations from "Hamlet":

1603   Shakespeare Hamlet II. ii. 63   His nephews leuies..a
preparation gainst the Polacke.  (Under A. n. 1.)
1604   Shakespeare Hamlet V. ii. 330   You from the Pollack warres,
and you from England Are heere arriued.   (Under B. adj.)

Did it take Shakespeare a year to write Acts III, IV, and V, after he
published Acts I and II?

Joel

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