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Strategy Coding Exercise

Consider the quadratic equation and its canonical solution - wiki:

ax^{2}+bx+c=0

The part b^2-4ac is called the discriminant. Suppose we want to provide an API with two different strategies for calculating the discriminant:

  1. In OrdinaryDiscriminantStrategy , If the discriminant is negative, we return it as-is. This is OK, since our main API returns Complex numbers anyway.

  2. In RealDiscriminantStrategy , if the discriminant is negative, the return value is NaN (not a number). NaN propagates throughout the calculation, so the equation solver gives two NaN values. In Python, you make such a number with float('nan').

Please implement both of these strategies as well as the equation solver itself. With regards to plus-minus in the formula, please return the + result as the first element and - as the second. Note that the solve() method is expected to return complex values.