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Below is a grammar for expressions involving operator $+$ and integer or floating-point operands. Floating-point numbers are distinguished by having a decimal point.

• $E\rightarrow E+T\mid T$
• $T\rightarrow num.num\mid num$
1. Give an SDD to determine the type of each term $T$ and expression $E$.
2. Extend your SDD of $(a)$ to translate expressions into postfix notation.Use the unary operator intToFloat to turn an integer into an equivalent float.
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