Question

In: Computer Science

Consider the following type of binary trees: data Tree a = Leaf a | Node (Tree...

Consider the following type of binary trees:

data Tree a = Leaf a | Node (Tree a) (Tree a)

A tree is balanced if the number of leaves in the left and right subtree of every node differ by at most one. Write a Haskell function balanced that returns whether a tree is balanced or not.

balanced :: Tree a -> Bool

Expert Solution

Solution:

balanced:: Tree a-> Bool

int leftHeight //height of the left subtree

int rightHeight //height of the right subtree

if Tree a==NULL

return 1;

//calculating the height of the subtree

leftHeight = height(Tree->left);

rightHeight = height(Tree->right);

if( abs(leftHeight -rightHeight ) <= 1 &&

balanced(Tree->left) && balanced(Tree->right))

return 1;

return 0;

}

max:: a-> int, b-> int

{

return (a >= b)? a: b;

}

height:: Tree a-> int //function to calculate the height of the tree

{

if(Tree == NULL)

return 0;

else

return 1 + max(height(Tree->left), height(Tree->right));

}

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venereology answered 10 months ago

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