Given the "search tree" datatype, write Haskell program "paths"

5. Given the following search tree" datatype data STree a = Sn ( STree a) a (Stree a) | Tp deriving (Show, Eq) The fold for search trees is: foldst gt (Tp) = t foldst g t (Sn si a s2) = g (foldst g t sl) a (foldst g t s2) (b) Use foldst to write a program, paths::STree Int -> [[int]], to find the list of all the paths of a search tree of integers. Thus, for example: paths (Sn (Sn Tp 5 Tp) 6 (Sn (Sn Tp 3 Tp) 1 (Sn Tp 2 Tp)) = [[6,5], [6,1,3], [6,1,2]]