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| {-# OPTIONS_GHC -Wall -Werror #-} | |
| -- | Solve the Advent-of-code, 2021, day 24: https://adventofcode.com/2021/day/24 | |
| -- | |
| -- Load it to ghci as: | |
| -- ghci -package mtl ALU.hs | |
| -- | |
| -- Boolean specifies if we maximize (True) or minimize (False) | |
| -- | |
| -- >>> puzzle True | |
| -- 96918996924991 | |
| -- >>> puzzle False | |
| -- 91811241911641 | |
| module ALU where | |
| import Control.Monad.State.Lazy | |
| import Data.Maybe | |
| import Data.List | |
| import Data.SBV | |
| import Data.SBV.Internals (cvVal, CVal(CInteger)) | |
| import qualified Data.Map.Strict as M | |
| import Prelude hiding (read, mod, div) | |
| type Register = String | |
| type Value = SInt64 | |
| data Data = Reg Register | Imm Integer | |
| type Env = M.Map Register Value | |
| type ALU = StateT Env Symbolic | |
| w, x, y, z, c :: Data | |
| w = Reg "w" | |
| x = Reg "x" | |
| y = Reg "y" | |
| z = Reg "z" | |
| c = Reg "c" | |
| read :: Data -> ALU Value | |
| read (Reg r) = get >>= \env -> pure $ fromJust (r `M.lookup` env) | |
| read (Imm i) = pure $ literal (fromIntegral i) | |
| write :: Data -> Value -> ALU () | |
| write (Reg r) v = modify' $ M.insert r v | |
| write Imm{} _ = error "Writing to an immediate!" | |
| input :: Bool -> Data -> ALU () | |
| input shouldMaximize a = do | |
| cnt <- read c | |
| let sh2 i | i < 10 = '0' : show i | |
| | True = show i | |
| v <- lift $ free $ "d" ++ sh2 (fromJust (unliteral cnt)) | |
| write c (1+cnt) | |
| lift $ constrain $ inRange v (1, 9) | |
| lift $ (if shouldMaximize then maximize else minimize) "goal" v | |
| write a v | |
| instance Num Data where | |
| fromInteger = Imm | |
| (+) = error "+ : unimplemented" | |
| (*) = error "* : unimplemented" | |
| negate (Imm i) = Imm (-i) | |
| negate Reg{} = error "negate: unimplemented" | |
| abs = error "abs : unimplemented" | |
| signum = error "signum: unimplemented" | |
| add, mul, div, mod, eql :: Data -> Data -> ALU () | |
| add a b = write a =<< (+) <$> read a <*> read b | |
| mul a b = write a =<< (*) <$> read a <*> read b | |
| div a b = write a =<< sDiv <$> read a <*> read b | |
| mod a b = write a =<< sMod <$> read a <*> read b | |
| eql a b = write a . oneIf =<< (.==) <$> read a <*> read b | |
| run :: ALU () -> Symbolic Value | |
| run pgm = evalStateT (pgm >> read z) (M.fromList [(r, 0) | Reg r <- [w, x, y, z, c]]) | |
| puzzle :: Bool -> IO () | |
| puzzle shouldMaximize = do | |
| LexicographicResult r <- optimizeWith z3{isNonModelVar = ("goal" `isPrefixOf`)} | |
| Lexicographic $ do zVal <- run (monad shouldMaximize) | |
| constrain $ zVal .== 0 | |
| let sh (CInteger i) = show i | |
| sh _ = error "unexpected output" | |
| putStrLn $ concatMap (sh . cvVal . snd) $ sort $ M.toList (getModelDictionary r) | |
| monad :: Bool -> ALU () | |
| monad shouldMaximize = do | |
| let inp = input shouldMaximize | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 1 | |
| add x 11 | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 5 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 1 | |
| add x 13 | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 5 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 1 | |
| add x 12 | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 1 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 1 | |
| add x 15 | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 15 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 1 | |
| add x 10 | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 2 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 26 | |
| add x (-1) | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 2 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 1 | |
| add x 14 | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 5 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 26 | |
| add x (-8) | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 8 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 26 | |
| add x (-7) | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 14 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 26 | |
| add x (-8) | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 12 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 1 | |
| add x 11 | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 7 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 26 | |
| add x (-2) | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 14 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 26 | |
| add x (-2) | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 13 | |
| mul y x | |
| add z y | |
| inp w | |
| mul x 0 | |
| add x z | |
| mod x 26 | |
| div z 26 | |
| add x (-13) | |
| eql x w | |
| eql x 0 | |
| mul y 0 | |
| add y 25 | |
| mul y x | |
| add y 1 | |
| mul z y | |
| mul y 0 | |
| add y w | |
| add y 6 | |
| mul y x | |
| add z y |
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