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using haskell this is just for problem 4. the tree from the lecture is provided above the question. For Problems 3 and 4, use the

using haskell

image text in transcribed

image text in transcribed

this is just for problem 4. the tree from the lecture is provided above the question.

For Problems 3 and 4, use the following binary tree definition modified from lecture: It takes two type arguments, so nodes and leafs can contain different types of values data Tree a b - Leaf b Node a (Tree a b) (Tree a b) deriving (Read, show, Eq) (12 points) For this problem, let's call an "expression tree" a Tree String b tree where all of the node data are strings from the set "+", "-", "*", and "/", and the leafs hold numbers. Write an eval function routine that evaluates an expression tree. Division requires fractional numbers, so the type of eval is Fractional t => Tree String b-> b. Examples: Let el = Node "+" (Leaf 2) (Leaf 4), e2 = Node "-" (Leaf 11) (Leaf 8), and e3 = Node "/" (Node "*" el e2) (Leaf 36). Then eval el -6.0;eval e2 - 3.0; and eval e3 = 0.5. For Problems 3 and 4, use the following binary tree definition modified from lecture: It takes two type arguments, so nodes and leafs can contain different types of values data Tree a b - Leaf b Node a (Tree a b) (Tree a b) deriving (Read, show, Eq) (12 points) For this problem, let's call an "expression tree" a Tree String b tree where all of the node data are strings from the set "+", "-", "*", and "/", and the leafs hold numbers. Write an eval function routine that evaluates an expression tree. Division requires fractional numbers, so the type of eval is Fractional t => Tree String b-> b. Examples: Let el = Node "+" (Leaf 2) (Leaf 4), e2 = Node "-" (Leaf 11) (Leaf 8), and e3 = Node "/" (Node "*" el e2) (Leaf 36). Then eval el -6.0;eval e2 - 3.0; and eval e3 = 0.5

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