Created
January 26, 2023 20:58
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Raadsel oplossen met een SMT solver via SBV
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| module Main (main) where | |
| import Data.SBV | |
| raadsel :: Symbolic SBool | |
| raadsel = do | |
| vars@[s, e, n, d, m, o, r, y] <- sIntegers ["s", "e", "n", "d", "m", "o", "r", "y"] | |
| -- Helper, maakt bvb. (100 * a + 10 * b + c) uit [a, b, c] | |
| let woord w = sum (zipWith (*) (reverse w) (iterate (* 10) 1)) | |
| send = woord [s, e, n, d] | |
| more = woord [m, o, r, e] | |
| money = woord [m, o, n, e, y] | |
| solve [ | |
| -- Elke letter is een getal tussen 0 en 9 (inclusief) | |
| sAll (\v -> v .>= 0 .&& v .<= 9) vars | |
| -- Alle letters zijn een ander getal | |
| , distinct vars | |
| -- 's' en 'm' zijn niet 0 | |
| , s ./= 0 | |
| , m ./= 0 | |
| -- Opgave | |
| , send + more .== money | |
| ] | |
| main :: IO () | |
| main = allSat raadsel >>= print | |
| {- | |
| Solution #1: | |
| s = 9 :: Integer | |
| e = 5 :: Integer | |
| n = 6 :: Integer | |
| d = 7 :: Integer | |
| m = 1 :: Integer | |
| o = 0 :: Integer | |
| r = 8 :: Integer | |
| y = 2 :: Integer | |
| This is the only solution. | |
| -} |
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