# nayuki/Project-Euler-solutions

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 {- - Solution to Project Euler problem 11 - Copyright (c) Project Nayuki. All rights reserved. - - https://www.nayuki.io/page/project-euler-solutions - https://github.com/nayuki/Project-Euler-solutions -} main = putStrLn (show ans) ans = foldl1 max (concat [ lineProducts 1 0 4, lineProducts 0 1 4, lineProducts 1 1 4, lineProducts 1 (-1) 4]) lineProducts dx dy n = [product [square !! (y + i * dy) !! (x + i * dx) | i <- [0 .. n - 1]] | y <- [0 .. (length square) - 1], x <- [0 .. (length (square !! y)) - 1], inBounds (x + (n - 1) * dx) (y + (n - 1) * dy)] inBounds x y = y >= 0 && y < (length square) && x >= 0 && x < (length (square !! y)) square = [[ 8,02,22,97,38,15,00,40,00,75,04,05,07,78,52,12,50,77,91, 8], [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, 8,40,91,66,49,94,21], [24,55,58,05,66,73,99,26,97,17,78,78,96,83,14,88,34,89,63,72], [21,36,23, 9,75,00,76,44,20,45,35,14,00,61,33,97,34,31,33,95], [78,17,53,28,22,75,31,67,15,94,03,80,04,62,16,14, 9,53,56,92], [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, 8,83,97,35,99,16,07,97,57,32,16,26,26,79,33,27,98,66], [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, 8,46,29,32,40,62,76,36], [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]]