= z foldTree f z (Bin l x r) = f (foldTree f z l) x (foldTree f z r) How would you complete the following function to find the sum of all the items in a folded tree. sumTree :: (Num a) => Tree a -> a sumTree = foldTree f z

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Given the following function in haskell...

data Tree a 
    = Tip
    | Bin (Tree a) a (Tree a)
    deriving (Show, Eq)
foldTree :: (b -> a -> b -> b) -> b -> Tree a -> b
foldTree f z Tip         = z
foldTree f z (Bin l x r) = f (foldTree f z l) x (foldTree f z r)

How would you complete the following function to find the sum of all the items in a folded tree.

sumTree :: (Num a) => Tree a -> a
sumTree = foldTree f z

-- f :: a -> a -> a -> a
    --f = "_" --undefined
    -- z :: a
    --z = "_" --undefined

Hint:You might have to change the form to "f x y z = Something"

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