zaneli

import Zaneli.Euler (fib)

main = print $ fst $ head $ dropWhile (\(_, n) -> n < 10^(1000-1)) $ zip [1..] $ map fib [1..]

zaneli

main = print $ 1 + addDiags [2..1001*1001] 0 1 0

addDiags :: (Num a, Num b, Eq b) => [a] -> a -> Int -> b -> a
addDiags [] sum _ _          =  sum
addDiags list sum step count = let (n:ns) = drop step' list in
                               addDiags ns (sum + n) step' count'
  where
    (step', count') | count == 4 = (step + 2, 1)
                    | otherwise  = (step, count + 1)

zaneli

main = print $ length $ coinSums 200

coinSums :: Integer -> [(Integer, Integer, Integer, Integer, Integer, Integer, Integer, Integer)]
coinSums n = [ (po1, po2, po5, po10, po20, po50, pe1, pe2) |
  po1  <- [0,1..n],
  po2  <- [0,2..n-po1],
  po5  <- [0,5..n-(po1+po2)],
  po10 <- [0,10..n-(po1+po2+po5)],
  po20 <- [0,20..n-(po1+po2+po5+po10)],
  po50 <- [0,50..n-(po1+po2+po5+po10+po20)],

zaneli

import Data.Array (listArray, (!))
import Data.List (find)
import Zaneli.Euler (numToList)

main = print $ sum digitFactorials

digitFactorials :: [Int]
digitFactorials = [n | n <- [3..limit], let ns = map (facts !) $ numToList n, (sum ns) == n]
  where
    facts = let (minIdx, maxIdx) = (0, 9) in listArray (minIdx, maxIdx) $ map fact [minIdx..maxIdx] -- 一桁の値の階乗を予め作っておく

zaneli

import Zaneli.Euler (numToList, listToNum)

main = print $ sum $ trunPrimes 11

trunPrimes :: Int -> [Int]
trunPrimes limit = trunPrimes' 3 [2] []
  where
    trunPrimes' n primes result
      | length result >= limit = result
      | isPrime n              = trunPrimes' (n + 2) (primes ++ [n]) result'

zaneli

import Data.Char (digitToInt)

main = print $ product $ pickUpChampernowne $ map (10^) [0..6]

pickUpChampernowne :: [Int] -> [Int]
pickUpChampernowne targets = pickUp 1 targets 0 []
  where
    pickUp _ [] _ nums = nums
    pickUp n targets@(x:xs) count nums
      | inBetween = pickUp (n+1) xs count' (targetNum:nums)

zaneli

(defn my-last
  "Find the last box of a list."
  [xs]
  (if (>= 1 (count xs))
    xs
    (my-last (rest xs))
  )
)

zaneli

(defn my-palindrome?
  "Find out whether a list is a palindrome."
  [word]
  (let [middle (/ (count word) 2), word1 (take middle word), word2 (reverse (drop middle word))]
   (every? #(= (first %) (second %)) (map list word1 word2))
  )
)

zaneli

(defn my-encode
  "Run-length encoding of a list."
  [xs]
  (map #(list (count %) (first %)) (partition-by identity xs))
)

(defn my-encode-modified
  "Modified run-length encoding."
  [xs]
  (map #(let [[cnt elem] %] (if (== cnt 1) elem (list cnt elem))) (my-encode xs))

zaneli

(defn my-drop
  "Drop every N'th element from a list."
  [xs n]
  (map #(second %) (filter #(not= (mod (first %) n) (dec n)) (map-indexed vector xs)))
)