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Problem 4(b) Please code in language: OCAML Starter Code: type 'a binTree = | Leaf | Node of 'a * ('a binTree) * ('a binTree)

Problem 4(b)

Please code in language: OCAML

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Starter Code:

type 'a binTree = | Leaf | Node of 'a * ('a binTree) * ('a binTree)

let rec foldT (f: 'a -> 'b -> 'b -> 'b) (t: 'a binTree) (base: 'b) : 'b =

Problem 4. Define a polymorphic data type called 'a binTree as follows: type 'a binTree = | Leaf | Node of 'a * ('a binTree) * l'a binTree) Trees of this type will contain a single piece of data of type 'a at each node, and no data at their leaves. (b) Define an OCaml function foldt : l'a -> 'b -> 'b -> 'b) -> 'a binTree -> ' -> 'b which operates on trees the same way that foldr operates on lists. In other words, the base item of type 'b should replace the leaf constructor in the tree, and the function of type 'a -> 'b -> 'b -> 'b should replace the node constructor in the tree.3 Problem 4. Define a polymorphic data type called 'a binTree as follows: type 'a binTree = | Leaf | Node of 'a * ('a binTree) * l'a binTree) Trees of this type will contain a single piece of data of type 'a at each node, and no data at their leaves. (b) Define an OCaml function foldt : l'a -> 'b -> 'b -> 'b) -> 'a binTree -> ' -> 'b which operates on trees the same way that foldr operates on lists. In other words, the base item of type 'b should replace the leaf constructor in the tree, and the function of type 'a -> 'b -> 'b -> 'b should replace the node constructor in the tree.3

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