Solve for x
\left\{\begin{matrix}x=e^{-\frac{y^{1-r}}{r}}\text{, }&\left(y>0\text{ and }r<0\right)\text{ or }\left(y>0\text{ and }y^{1-r}<0\text{ and }r>0\right)\text{ or }\left(y<0\text{ and }Denominator(r)\text{bmod}2=1\text{ and }y^{1-r}>0\text{ and }r<0\right)\text{ or }\left(y<0\text{ and }Denominator(r)\text{bmod}2=1\text{ and }y^{1-r}<0\text{ and }r>0\right)\\x>1\text{, }&y=0\text{ and }r>0\end{matrix}\right.
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