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module Much.MappedSets (invert, mk) where

import Control.Arrow
import Data.Map.Strict (Map)
import Data.Map.Strict qualified as Map
import Data.Maybe
import Data.Set (Set)
import Data.Set qualified as Set


mk :: (Ord a, Ord b) => [(a, [b])] -> Map a (Set b)
mk =
    Map.fromList . map (second Set.fromList)


invert :: (Ord a, Ord b) => Map a (Set b) -> Map b (Set a)
invert =
    Map.foldrWithKey invert1 Map.empty


invert1 :: (Ord a, Ord b) => a -> Set b -> Map b (Set a) -> Map b (Set a)
invert1 k v a =
    Set.foldr (upsert k) a v


upsert :: (Ord a, Ord b) => a -> b -> Map b (Set a) -> Map b (Set a)
upsert k =
    Map.alter (Just . Set.insert k . fromMaybe Set.empty)