From 31fce4ecf330b9c4c749bce5d435705639911b13 Mon Sep 17 00:00:00 2001 From: Amneesh Singh Date: Mon, 7 Nov 2022 15:59:40 +0530 Subject: [PATCH] haskell: add p11 Signed-off-by: Amneesh Singh --- haskell/p11.hs | 59 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 59 insertions(+) create mode 100644 haskell/p11.hs diff --git a/haskell/p11.hs b/haskell/p11.hs new file mode 100644 index 0000000..def67ea --- /dev/null +++ b/haskell/p11.hs @@ -0,0 +1,59 @@ +import Lib (primes) + +main :: IO () +main = putStr $ show $ solve rawData 4 + +solve :: [[Int]] -> Int -> Int +solve raw n = + maximum $ + concat + [ products 1 0, + products 0 1, + products 1 1, + products (-1) 1 + ] + where + products :: Int -> Int -> [Int] + products dirX dirY = + [ product z + | y <- [0 .. lenY - 1], + x <- [0 .. lenX y - 1], + let z = + [ raw !! y' !! x' + | z <- [0 .. n - 1], + let x' = x + dirX * z, + let y' = y + dirY * z, + checkBounds x' y' + ], + length z == n + ] + checkBounds :: Int -> Int -> Bool + checkBounds x y = y >= 0 && y < lenY && x >= 0 && x < lenX y + lenY :: Int + lenY = length raw + lenX :: Int -> Int + lenX y = length $ raw !! y + +rawData :: [[Int]] +rawData = + [ [08, 02, 22, 97, 38, 15, 00, 40, 00, 75, 04, 05, 07, 78, 52, 12, 50, 77, 91, 08], + [49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 04, 56, 62, 00], + [81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 03, 49, 13, 36, 65], + [52, 70, 95, 23, 04, 60, 11, 42, 69, 24, 68, 56, 01, 32, 56, 71, 37, 02, 36, 91], + [22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80], + [24, 47, 32, 60, 99, 03, 45, 02, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50], + [32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70], + [67, 26, 20, 68, 02, 62, 12, 20, 95, 63, 94, 39, 63, 08, 40, 91, 66, 49, 94, 21], + [24, 55, 58, 05, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72], + [21, 36, 23, 09, 75, 00, 76, 44, 20, 45, 35, 14, 00, 61, 33, 97, 34, 31, 33, 95], + [78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 03, 80, 04, 62, 16, 14, 09, 53, 56, 92], + [16, 39, 05, 42, 96, 35, 31, 47, 55, 58, 88, 24, 00, 17, 54, 24, 36, 29, 85, 57], + [86, 56, 00, 48, 35, 71, 89, 07, 05, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58], + [19, 80, 81, 68, 05, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 04, 89, 55, 40], + [04, 52, 08, 83, 97, 35, 99, 16, 07, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66], + [88, 36, 68, 87, 57, 62, 20, 72, 03, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69], + [04, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 08, 46, 29, 32, 40, 62, 76, 36], + [20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 04, 36, 16], + [20, 73, 35, 29, 78, 31, 90, 01, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 05, 54], + [01, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 01, 89, 19, 67, 48] + ]