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parse = map (map read . words) . lines
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f x y z = x + max y z
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g xs ys = zipWith3 f xs ys $ tail ys
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solve = head . foldr1 g
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main = readFile "triangle.txt" >>= print . solve . parse
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---------------- MAXIMUM TRIANGLE PATH SUM ---------------
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maxPathSum :: [[Int]] -> Int
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maxPathSum =
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head
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. foldr1
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((<*> tail) . zipWith3 (\x y z -> x + max y z))
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--------------------------- TEST -------------------------
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main :: IO ()
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main =
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print $
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maxPathSum
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[ [55],
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[94, 48],
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[95, 30, 96],
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[77, 71, 26, 67],
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[97, 13, 76, 38, 45],
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[07, 36, 79, 16, 37, 68],
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[48, 07, 09, 18, 70, 26, 06],
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[18, 72, 79, 46, 59, 79, 29, 90],
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[20, 76, 87, 11, 32, 07, 07, 49, 18],
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[27, 83, 58, 35, 71, 11, 25, 57, 29, 85],
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[14, 64, 36, 96, 27, 11, 58, 56, 92, 18, 55],
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[02, 90, 03, 60, 48, 49, 41, 46, 33, 36, 47, 23],
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[92, 50, 48, 02, 36, 59, 42, 79, 72, 20, 82, 77, 42],
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[56, 78, 38, 80, 39, 75, 02, 71, 66, 66, 01, 03, 55, 72],
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[44, 25, 67, 84, 71, 67, 11, 61, 40, 57, 58, 89, 40, 56, 36],
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[85, 32, 25, 85, 57, 48, 84, 35, 47, 62, 17, 01, 01, 99, 89, 52],
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[06, 71, 28, 75, 94, 48, 37, 10, 23, 51, 06, 48, 53, 18, 74, 98, 15],
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[27, 02, 92, 23, 08, 71, 76, 84, 15, 52, 92, 63, 81, 10, 44, 10, 69, 93]
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]
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@ -0,0 +1,51 @@
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import Control.Applicative (ZipList (ZipList, getZipList))
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---------------- MAXIMUM TRIANGLE PATH SUM ---------------
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maxPathSum :: [[Int]] -> Int
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maxPathSum [] = 0
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maxPathSum triangleRows =
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head
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( foldr1
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( \xs ->
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( \ys zs ->
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getZipList
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( ( ( (\x y z -> x + max y z)
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<$> ZipList xs
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)
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<*> ZipList ys
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)
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<*> ZipList zs
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)
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)
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<*> tail
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)
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triangleRows
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)
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--------------------------- TEST -------------------------
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main :: IO ()
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main =
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print $
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maxPathSum
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[ [55],
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[94, 48],
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[95, 30, 96],
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[77, 71, 26, 67],
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[97, 13, 76, 38, 45],
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[07, 36, 79, 16, 37, 68],
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[48, 07, 09, 18, 70, 26, 06],
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[18, 72, 79, 46, 59, 79, 29, 90],
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[20, 76, 87, 11, 32, 07, 07, 49, 18],
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[27, 83, 58, 35, 71, 11, 25, 57, 29, 85],
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[14, 64, 36, 96, 27, 11, 58, 56, 92, 18, 55],
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[02, 90, 03, 60, 48, 49, 41, 46, 33, 36, 47, 23],
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[92, 50, 48, 02, 36, 59, 42, 79, 72, 20, 82, 77, 42],
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[56, 78, 38, 80, 39, 75, 02, 71, 66, 66, 01, 03, 55, 72],
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[44, 25, 67, 84, 71, 67, 11, 61, 40, 57, 58, 89, 40, 56, 36],
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[85, 32, 25, 85, 57, 48, 84, 35, 47, 62, 17, 01, 01, 99, 89, 52],
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[06, 71, 28, 75, 94, 48, 37, 10, 23, 51, 06, 48, 53, 18, 74, 98, 15],
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[27, 02, 92, 23, 08, 71, 76, 84, 15, 52, 92, 63, 81, 10, 44, 10, 69, 93]
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]
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