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discrete-maths/appendix-a.md

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## The following is the generalized formula:
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$$f(N) = N_c = C(N) * \sum_{n=0}^N N^{'}\_{c_n} = C(N) * (N^{'}\_{c_0} + N^{'}\_{c_1} + N^{'}\_{c_2} + ... + N^{'}\_{c_{(N-2)}} + N^{'}\_{c_{(N-1)}} + N^{'}\_{c_{(N)}})$$
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$$f(N) = N_c = C(N) * \sum_{n=0}^N {N^{'}}\_{c_n} = C(N) * (N^{'}\_{c_0} + N^{'}\_{c_1} + N^{'}\_{c_2} + ... + N^{'}\_{c_{(N-2)}} + N^{'}\_{c_{(N-1)}} + N^{'}\_{c_{(N)}})$$

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