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16 lines (13 loc) · 646 Bytes
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{-
- Solution to Project Euler problem 15
- Copyright (c) Project Nayuki. All rights reserved.
-
- https://www.nayuki.io/page/project-euler-solutions
- https://github.com/nayuki/Project-Euler-solutions
-}
import qualified EulerLib
-- This is a classic combinatorics problem. To get from the top left corner to the bottom right corner of an N*N grid,
-- it involves making exactly N moves right and N moves down in some order. Because each individual down or right move
-- is indistinguishable, there are exactly 2N choose N (binomial coefficient) ways of arranging these moves.
main = putStrLn (show ans)
ans = EulerLib.binomial 40 20