Project Euler 解答

Project Euler Problem 010

Project Euler Problem 010

import Control.Monad import Control.Monad.ST import Data.Array.ST import Data.Array.Unboxed import Data.List --無限リストを使ったエラトステネスの篩a primes :: [Int] primes = 2: f[3] [3,5..] where f (x:xs) ys = ps ++ f (xs++ps) [z| z<-qs,z`rem`x/=0] where (ps,qs) = span (< x*x) ys n :: Int n=2000000 :: Int ans1 :: Int ans1 = sum $ takeWhile ( UArray Int Bool era n = runSTUArray( do{ a <- newArray (1,n) True :: ST s (STUArray s Int Bool); writeArray a 1 False; sequence_[do{ prime <- readArray a i; when prime (sequence_[do{writeArray a k False} | k<-[i+i,i*3..n]]); } |i<-[1..n]]; return a; }) -- 003より。O(n^1.2)の篩 primes2 :: [Integer] --このアノテーションはずすとバグるので注意する primes2 = 2 : ([3,5..] `minus` join [[p*p, p*p+2*p..] | p <- primes']) where primes' = 3 : ([5,7..] `minus` join [[p*p, p*p+2*p..] | p <- primes']) join ((x:xs):t) = x : union xs (join (pairs t)) pairs ((x:xs):ys:t) = (x : union xs ys) : pairs t union (x:xs) (y:ys) = case (compare x y) of LT -> x : union xs (y:ys) EQ -> x : union xs ys GT -> y : union (x:xs) ys union xs [] = xs union [] ys = ys minus (x:xs) (y:ys) = case (compare x y) of LT -> x : minus xs (y:ys) EQ -> minus xs ys GT -> minus (x:xs) ys minus xs _ = xs

since 2013