Time for an 2014 update…
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2520 changed files with 34227 additions and 7318 deletions
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import Control.Parallel.Strategies
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mport Control.Parallel.Strategies
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import Control.DeepSeq
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import Data.List
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import Data.Function
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nums :: [Integer]
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nums = [112272537195293
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,112582718962171
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,112272537095293
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@ -10,21 +11,20 @@ nums = [112272537195293
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,115797840077099
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,1099726829285419]
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factors :: Integral a => a -> [a]
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factors n | n `rem` 2 == 0 = [2] ++ factors (n `quot` 2)
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| otherwise = y
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where y = [x | x <- [3,5..ceiling . sqrt $ fromIntegral n]
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++ [n], n `rem` x == 0]
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lowestFactor :: Integral a => a -> a -> a
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lowestFactor s n | n `rem` 2 == 0 = 2
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| otherwise = head $ y
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where y = [x | x <- [s..ceiling . sqrt $ fromIntegral n]
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++ [n], n `rem` x == 0, x `rem` 2 /= 0]
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minPrimes :: [Integer] -> (Integer, [Integer])
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minPrimes ns = (\(x, y) -> (x, y:factors ( x `quot` y))) $
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maximumBy (compare `on` snd)
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(zip ns (parMap rdeepseq (head . factors) ns))
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primeFactors l n = f n l []
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where f n l xs = if n > 1 then f (n `div` l) (lowestFactor (max l 3) (n `div` l)) (l:xs)
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else xs
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minPrimes ns = (\(x,y) -> (x,primeFactors y x)) $
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maximumBy (compare `on` snd) $
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zip ns (parMap rdeepseq (lowestFactor 3) ns)
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main :: IO ()
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main = do
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putStrLn . concat $ ["The number with the "
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, "largest minimum prime factor was:\n"
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, show x, "\nWith factors: "]
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mapM_ print y
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where (x, y) = (minPrimes nums)
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print $ minPrimes nums
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