AMC 10 2021a Problem 20

In how many ways can the sequence $1,2,3,4,5$ be rearranged so that no three consecutive terms are increasing and no three consecutive terms are decreasing? $\textbf{(A)} ~10 \textbf{(B)} ~18 \textbf{(C)} ~24 \textbf{(D)} ~32 \textbf{(E)} ~44$