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\item \self Given a state space of size $|S| = 64$, find a symbolic binary encoding for this state space and compute the formulas that symbolically represent the sets of states $$B = \{s_{16}, s_{17}, s_{18}, ..., s_{32}\} \enspace \text{and} \enspace C = \{s_{24}, s_{25},, s_{26}, ..., s_{64}.\}$$ Then compute the formulas that symbolically represent the sets $D = B \cap C$ and $E = B \cup C$.
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