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Given is the following EBNF grammar: < float > [+ | ] { < digit >} . { < digit >}+ [ (E | e)

Given is the following EBNF grammar:

< float > [+ | ] {< digit >} "." {< digit >}+ [ (E | e) [+ | ] {< digit >}+ ]

Construct a DFA that accepts the strings in < float >. Note that according to this grammar, the integer part may be empty.

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