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{-# LANGUAGE BangPatterns #-} | |
import Control.Applicative | |
import Prelude hiding (minimum, sum) | |
import Data.List (permutations) | |
import Control.Monad.ST | |
import Data.Bifunctor (second) | |
-- import Control.Monad | |
-- import Data.Array.ST | |
-- import Data.Array.Unboxed | |
import Data.Vector.Unboxed (Vector) | |
import qualified Data.Vector.Unboxed as U | |
import Data.Vector.Unboxed.Mutable (STVector) | |
import qualified Data.Vector.Unboxed.Mutable as UM | |
import Data.Foldable | |
data Exp = IfGt Int Int Block Block -- if a[i] > a[j] then blk1 else blk2 | |
| Swap Int Int -- a[i] <-> a[j] (i,j < 8) | |
| Copy Int Int -- a[i] <- a[j] (i > 7) | |
deriving Show | |
type Block = [Exp] | |
eval :: STVector s Int -> Exp -> ST s Int | |
eval a (IfGt i j b1 b2) = do | |
ai <- a `UM.unsafeRead` i | |
aj <- a `UM.unsafeRead` j | |
let b = if ai > aj then b1 else b2 | |
n <- evalBlock a b | |
return (n+1) | |
eval a (Swap i j) = do | |
ai <- a `UM.unsafeRead` i | |
aj <- a `UM.unsafeRead` j | |
UM.unsafeWrite a i aj | |
UM.unsafeWrite a j ai | |
return 1 | |
eval a (Copy i j) = do | |
aj <- a `UM.unsafeRead` j | |
UM.unsafeWrite a i aj | |
return 1 | |
evalBlock :: STVector s Int -> Block -> ST s Int | |
evalBlock a = foldlM f 0 where | |
f !cnt exp = (+cnt) <$> eval a exp | |
numSteps :: Block -> Vector Int -> Int | |
numSteps blk ua = runST $ do | |
a <- U.thaw ua | |
n <- evalBlock a blk | |
r1 <- a `UM.unsafeRead` 1 | |
r6 <- a `UM.unsafeRead` 6 | |
return $ if r1 == 2 && r6 == 7 then n else 25000 | |
inputs :: [Vector Int] | |
inputs = let ps = permutations [1..8] | |
zs = [0,0,0,0] | |
in [ U.fromListN 12 (p ++ zs) | p <- ps] | |
calcScore :: Block -> Int | |
calcScore blk = sum $ map (numSteps blk) inputs | |
cmp_swap i j = IfGt i j [Swap i j] [] | |
mksornet cmp = | |
[cmp 0 1, cmp 2 3, cmp 4 5, cmp 6 7, | |
cmp 0 2, cmp 1 3, cmp 4 6, cmp 5 7, | |
cmp 1 2, cmp 5 6, cmp 0 4, cmp 3 7, | |
cmp 1 5, cmp 2 6, | |
cmp 1 4, cmp 3 6] | |
sornet :: Block | |
sornet = mksornet cmp_swap | |
main = print $ minimum $ replicate 40 (calcScore sornet) |
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