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| bstCount :: (Int -> Integer) -> Int -> Integer | |
| bstCount rec n | |
| | n <= 1 = 1 | |
| | otherwise = sum [rec i * rec (n-1-i) | i <- [0..n-1]] |
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| {-# LANGUAGE OverloadedStrings #-} | |
| import Data.Monoid((<>)) | |
| import qualified Data.Text.Lazy as T | |
| import qualified Data.Text.Lazy.Builder as B | |
| -- The API of the fizz buzz | |
| type Rule = B.Builder -> Int -> B.Builder |
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| fizzBuzz :: [(Int, String)] -> Int -> String | |
| fizzBuzz rules i = | |
| let r = concatMap (\(n,s) -> if mod i n == 0 then s else "") rules | |
| in if r == "" then show i else r |
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| foldMergeSort :: (Ord a) => [a] -> [a] | |
| foldMergeSort = | |
| foldl1 (flip merge) . map snd . foldl addToCounter [] | |
| where | |
| addToCounter counter x = propagate ((1::Int,[x]) : counter) | |
| propagate [] = [] | |
| propagate [x] = [x] | |
| propagate counter@(x:y:xs) -- x arrived last => combine on right | |
| | fst x == fst y = propagate ((fst x + fst y, merge (snd y) (snd x)) : xs) | |
| | otherwise = counter |
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| foldMonoidTree :: (Monoid a) => [a] -> a | |
| foldMonoidTree = | |
| foldl1 (flip (<>)) . map snd . foldl addToCounter [] | |
| where | |
| addToCounter counter x = propagate ((1::Int,x) : counter) | |
| propagate [] = [] | |
| propagate [x] = [x] | |
| propagate counter@(x:y:xs) -- x arrived last => combine on right | |
| | fst x == fst y = propagate ((fst x + fst y, snd y <> snd x) : xs) | |
| | otherwise = counter |
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| newtype SortedList a = SortedList { unSortedList :: [a] } | |
| instance (Ord a) => Monoid (SortedList a) where | |
| mempty = SortedList [] | |
| mappend (SortedList a) (SortedList b) = SortedList $ merge a b | |
| foldMergeSort :: (Ord a) => [a] -> [a] | |
| foldMergeSort = unSortedList . foldMonoidTree . map (\x -> SortedList [x]) |
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| merge :: (Ord a) => [a] -> [a] -> [a] | |
| merge xs [] = xs | |
| merge [] ys = ys | |
| merge l@(x:xs) r@(y:ys) | |
| | y < x = y : merge l ys -- Keeps it stable | |
| | otherwise = x : merge xs r |
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| template<typename Iterator, typename Value, typename BinaryOp> | |
| Value add_to_counter(Iterator first, Iterator last, | |
| Value carry, Value const &zero, | |
| BinaryOp op) | |
| { | |
| assert(carry != zero); | |
| for (; first != last; ++first) { | |
| if (*first == zero) { | |
| *first = carry; | |
| return zero; |
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| template<typename Iterator> | |
| struct merger | |
| { | |
| using Value = typename std::iterator_traits<Iterator>::value_type; | |
| using SortedRange = std::pair<Iterator, Iterator>; | |
| SortedRange operator()(SortedRange const &lhs, SortedRange const &rhs) const { | |
| assert(lhs.second == rhs.first); | |
| std::vector<Value> tmp(lhs.first, lhs.second); //Copy the left range | |
| std::merge( |
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| template<typename Iterator, typename Value, typename Accumulator> | |
| Value accumulate_iter(Iterator first, Iterator last, | |
| Value val, Accumulator fct) | |
| { | |
| for (; first != last; ++first) | |
| val = fct(val, first); | |
| return val; | |
| }; |
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