Consider the expression \( N = a + \frac{b}{c} - \left( d^2 - e^2 \right) \), where \(a, b, c, d,\) and \(e\) are distinct digits from 1 to 9. What values of \(a, b, c, d,\) and \(e\) maximize \(N\)? Let's think step by step and output the final answer within \boxed{}.
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