HMMT 2018 U32

How many 48-tuples of positive integers $\left(a_{1}, a_{2}, \ldots, a_{48}\right)$ between 0 and 100 inclusive have the property that for all $1 \leq i<j \leq 48, a_{i} \notin\left\{a_{j}, a_{j}+1\right\}$ ?