Question

Consider the following type of binary trees: data Tree a = Leaf a | Node (Tree a) (Tree a) Let us say that such a tree is balanced if the number of leaves in the left and right subtree of every node differs by at most one, with leaves themselves being trivially balanced. Define a function balanced : : Tree a $\rightarrow$ Bool that decides if a binary tree is balanced or not.

   Consider the following type of binary trees:
data Tree a = Leaf a | Node (Tree a) (Tree a)
Let us say that such a tree is balanced if the number of leaves in the left and right subtree of every node differs by at most one, with leaves themselves being trivially balanced. Define a function balanced : : Tree a $\rightarrow$ Bool that decides if a binary tree is balanced or not.

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Programming in Haskell

Programming in Haskell

Graham Hutton 2nd Edition

Chapter 8, Problem 3

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Step 1

First, we need to define the Tree data type in Haskell: ```haskell data Tree a = Leaf a | Node (Tree a) (Tree a) ``` Show more…

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Consider the following type of binary trees: data Tree a = Leaf a | Node (Tree a) (Tree a) Let us say that such a tree is balanced if the number of leaves in the left and right subtree of every node differs by at most one, with leaves themselves being trivially balanced. Define a function balanced : : Tree a $\rightarrow$ Bool that decides if a binary tree is balanced or not.

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