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October 8, 2014 20:11
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tree balance
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| {-# LANGUAGE GADTs, KindSignatures #-} | |
| data Tree :: * where | |
| Leaf :: Int -> Tree | |
| Node :: Tree -> Tree -> Tree | |
| deriving (Show,Eq,Ord) | |
| -- Write a function that sums the leaf values in a tree | |
| summation :: Tree -> Int | |
| summation (Leaf v) = v | |
| summation (Node l r) = (summation l) + (summation r) | |
| -- Write a function that finds the depth of a tree | |
| depth :: Tree -> Int | |
| depth (Leaf _) = 0 | |
| depth (Node l r) = 1 + max (depth l) (depth r) | |
| list :: Tree -> [Int] | |
| list (Leaf v) = [v] | |
| list (Node l r) = list l ++ list r | |
| -- Write a function that balances a binary tree | |
| balance :: Tree -> Tree | |
| balance t = genBalancedTree $ map Leaf $ list t | |
| where genBalancedTree [x] = x | |
| genBalancedTree (x:y:zs) = genBalancedTree $ reverse $ Node x y : zs | |
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