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-- Author: Yuchen Pei (me@ypei.me)
import Data.List (elemIndex)
import Data.Maybe (fromJust)
import Data.List.Split (splitOn)
spin :: Int -> [Char] -> [Char]
spin n xs = let (ys, zs) = splitAt (length xs - n) xs in zs ++ ys
exchange :: Int -> Int -> [Char] -> [Char]
exchange m n xs
| n > m = ys ++ [y] ++ zs ++ [x] ++ ws
| n == m = xs
| otherwise = exchange n m xs
where (ys, x:xs') = splitAt m xs
(zs, y:ws) = splitAt (n - m - 1) xs'
partner :: Char -> Char -> [Char] -> [Char]
partner x y xs = exchange m n xs
where m = fromJust $ elemIndex x xs
n = fromJust $ elemIndex y xs
parseInput :: [Char] -> [[Char]]
parseInput xs = splitOn "," xs
parseIns :: [Char] -> ([Char] -> [Char])
parseIns (x:xs)
| x == 's' = spin (read xs)
| x == 'x' = exchange (read m) (read n)
| x == 'p' = partner (head m) (head n)
where [m, n] = splitOn "/" xs
solve1' :: [Char] -> [Char] -> [Char]
solve1' xs = foldr1 (.) (reverse $ parseIns <$> parseInput xs)
solve1 :: [Char] -> [Char]
solve1 xs = solve1' xs ['a'..'p']
iterateWithCount :: (Int, [Char]) -> (Int, [Char])
iterateWithCount (n, xs) = (n + 1, solve1' input xs)
oneCycle :: Int
oneCycle = fst $ until ((==['a'..'p']) . snd) iterateWithCount (1, res1) -- oneCycle == 60
where res1 = solve1 input
solve2 :: [Char]
solve2 = iterate (solve1' input) ['a'..'p'] !! (1000000000 `rem` oneCycle)
input0 = "s1,x3/4,pe/b"
input = 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