GAIC Math 2024 Problem 78

Sequence $\left\{a_{n}\right\}$ satisfy $a_{0}=0, a_{1}=1$, and for any positive integer $\mathrm{n}$, we have $a_{2 n}=a_{n^{\prime}} a_{2 n+1}=a_{n}+1$, then $a_{2024}=$_____.