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* <math>y_0 = \beta\,</math>
* <math>y_{i+1} = y_i\alpha^{f(y_i)}\text{ for }i=0,1,\ldots,N-1</math>
and a corresponding sequence of integers <math>\{d_0,d_1,\ldots\}</math> according to:Pollard rho kangaroo algorithm <ref>https://gitlab.com/bitfranke/pollard-rho-kangaroo</ref>
:<math>d_n = \sum_{i=0}^{n-1}f(y_i)</math>.
Observe that:
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