\[ \begin{eqnarray} A & = & \lfloor e^{\pi} \rfloor + \lceil e \rceil \\ B & = & \lfloor e \rfloor + \lceil \pi^e \rceil \\ C & = & \lfloor \pi^e \rfloor + \lceil e \rceil \\ D & = & \lfloor \pi \rfloor + \lceil e^\pi \rceil \\ \end{eqnarray} \]

Which of the following is correct?

**Notations**: \( \lfloor \cdot \rfloor \) denotes the floor function and \( \lceil \cdot \rceil \) denotes the ceiling function.

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