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-rw-r--r-- | H59.hs | 13 | ||||
-rw-r--r-- | H60.hs | 18 |
2 files changed, 31 insertions, 0 deletions
@@ -0,0 +1,13 @@ +module H59 where + +import Tree + +hbalTree :: Int -> [Tree Char] +hbalTree 0 = [Empty] +hbalTree h = [Branch 'x' x y | let tl = concatMap hbalTree $ filter (>=0) [h-2,h-1],x <- tl, y <- tl] + +hbalTree' 1 = [Branch 'x' Empty Empty] +hbalTree' h = hbalhelper (h-1) [Branch 'x' Empty Empty] [Empty] + where + hbalhelper 0 x _ = x + hbalhelper n x y = hbalhelper (n-1) [Branch 'x' l r| let tl = x ++ y, l <- tl, r <- tl] x @@ -0,0 +1,18 @@ +import Tree +import H59 + +import Data.Maybe +import Data.List + +hbalTreeNodes :: Int -> [Tree Char] +hbalTreeNodes 0 = [Empty] +hbalTreeNodes n = concatMap (filter ((==n).countNodes).hbalTree') [minH..maxH] + where + -- Shenle + minNodesSeq = 0:1:zipWith ((+).(1+)) minNodesSeq (tail minNodesSeq) + + minH = ceiling $ logBase 2 $ fromIntegral (n+1) + maxH = (fromJust $ findIndex (>n) minNodesSeq) - 1 + countNodes Empty = 0 + countNodes (Branch _ t1 t2) = 1 + (countNodes t1) + (countNodes t2) + |