I coded this along with my girlfriend who's learning python, but not motivated to share her solution. The program reads from stdin, because I usually invoke it like so: runhaskell Main.hs < input or runhaskell Main.hs < example. I think this is quite handy because I don't have to change the source code to check the example input again.

I struggled with Part 3, where I suddenly forgot I could've simply used mod, which I ended up doing anyway. I immediately recognized that Part 3 needs Mutable Arrays if I care to avoid Index hell, which is not what I wanted to with Haskell but oh well.

{-# OPTIONS_GHC -Wall #-}
{-# LANGUAGE PatternSynonyms #-}
module Main (main) where

import qualified Data.Text as Text
import qualified Data.Text.IO as TextIO
import Control.Monad ((<$!>), forM_)
import Data.Text (Text, pattern (:<))
import qualified Data.List as List
import qualified Data.Array.MArray as MutableArray
import Control.Monad.ST (runST, ST)
import Data.Array.ST (STArray)

commaSepLine :: IO [Text.Text]
commaSepLine = Text.split (== ',') <$!> TextIO.getLine

readInstruction :: Text -> Int
readInstruction ('R' :< n) = read . Text.unpack $ n
readInstruction ('L' :< n) = negate . read . Text.unpack $ n
readInstruction _ = undefined

myName :: (Foldable t, Ord b, Enum b, Num b) => b -> t b -> b
myName maxPosition = List.foldl' (\ pos offset -> min (pred maxPosition) . max 0 $ pos + offset) 0

parentName1 :: [Int] -> Int
parentName1 = List.sum

newSTArray :: [e] -> ST s (STArray s Int e)
newSTArray xs = MutableArray.newListArray (0, length xs - 1) xs

swap :: (MutableArray.MArray a e m, MutableArray.Ix i) => a i e -> i -> i -> m ()
swap array i0 i1 = do
  e0 <- MutableArray.readArray array i0
  e1 <- MutableArray.readArray array i1
  MutableArray.writeArray array i0 e1
  MutableArray.writeArray array i1 e0

parentName2 :: [Text] -> [Int] -> Text
parentName2 nameList instructions = runST $ do
  names <- newSTArray nameList
  arrayLength <- succ . snd <$> MutableArray.getBounds names
  forM_ instructions $ \ offset -> do
    let arrayOffset = offset `mod` arrayLength
    swap names 0 arrayOffset
  MutableArray.readArray names 0

main :: IO ()
main = do
  names <- commaSepLine
  _ <- TextIO.getLine
  instructions <- fmap readInstruction <$> commaSepLine

  let namesLength = length names
  print $ names !! myName namesLength instructions
  print . (names !!) . (`mod` namesLength) $ parentName1 instructions
  print $ parentName2 names instructions