HF RL Explorer

Task 310

Task 310: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. We define a function $f(x)$ such that $f(11)=34$, and if there exists an integer $a$ such that $f(a)=b$, then $f(b)$ is defined and $f(b)=3b+1$ if $b$ is odd $f(b)=\frac{b}{2}$ if $b$ is even. What is…

The task

We define a function $f(x)$ such that $f(11)=34$, and if there exists an integer $a$ such that $f(a)=b$, then $f(b)$ is defined and $f(b)=3b+1$ if $b$ is odd $f(b)=\frac{b}{2}$ if $b$ is even. What is the smallest possible number of integers in the domain of $f$?