# Function in Function in Function in Function in Function

Algebra Level pending

Let $$f: \mathbb{Z}^{+} \times \mathbb{Z} \rightarrow \mathbb{Z}$$ such that

1. $$f(0,y) = -y$$
2. $$f(x+1,y) = f(x,f(x,f(x,f(x,f(x,-y)))))$$

Find the value of $$f(31415,92653)$$

This problem is adapted from Thailand 8th Mathematics POSN (1st round preceding 2nd round).

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