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universal-calculator/src/projectEuler/question15.hs

45 lines
866 B
Haskell

{-
https://projecteuler.net/problem=15
Starting in the top left corner of a 2x2 grid, and only being able to move to the right and down, there are exactly 6 routes to the bottom right corner.
How many such routes are there through a 20x20 grid?
-}
module Main where
import Prelude hiding (Right)
main :: IO ()
main = print ans
ans = 42
limit = 2
points = [ (x,y)
| x <- [0..limit]
, y <- [0..limit]
]
data Direction = Right | Down
move Right (x,y) = (x+1, y )
move Down (x,y) = (x , y+1)
-- solve :: (Int, Int) -> [[(Int, Int)]]
{-
λ> [(0,0)]
[(0,0)]
λ> [(0,0),(1,0),(2,0),(2,1),(2,2)]
[(0,0),(1,0),(2,0),(2,1),(2,2)]
λ> [ [(0,0),(1,0),(2,0),(2,1),(2,2)], [(0,0),(1,0),(1,1),(2,1),(2,2)]]
[[(0,0),(1,0),(2,0),(2,1),(2,2)],[(0,0),(1,0),(1,1),(2,1),(2,2)]]
λ>
-}
data Tree a
= Leaf a
| Branch (Tree a) (Tree a)
deriving (Show)