(rewrite a little shorter and (imho) clearer)
Revision as of 06:35, 22 November 2010
Collect the nodes at a given level in a list
A node of a binary tree is at level N if the path from the root to the node has length N-1. The root node is at level 1. Write a predicate atlevel/3 to collect all nodes at a given level in a list.
atlevel :: Tree a -> Int -> [a] atlevel Empty _ =  atlevel (Branch v l r) n | n == 1 = [v] | n > 1 = atlevel l (n-1) ++ atlevel r (n-1) | otherwise = 
Another possibility is to decompose the problem:
levels :: Tree a -> [[a]] levels Empty = repeat  levels (Branch a l r) = [a] : zipWith (++) (levels l) (levels r) atlevel :: Tree a -> Int -> [a] atlevel t n = levels t !! (n-1)