对于 euler 59 项目,我想出这个来返回一个包含解密字符串和使用的密钥的元组列表(是的,我知道Data.Bits
):
module XOR where
import Data.List
import Data.Char
decToBin :: Integer -> [Integer]
decToBin x = reverse $ decToBin' x
where
decToBin' 0 = []
decToBin' y = let (a,b) = quotRem y 2 in [b] ++ decToBin' a
binToDec :: [Integer] -> Integer
binToDec xs = foldl (+) 0 $ map (\(x,y) -> x*(2^y) ) $reverse $ zip (reverse xs) [0..]
bitwise f x y = zipWith f x y
lenBin :: Integer -> Integer
lenBin x= length$ decToBin x
xor :: Integer -> Integer -> Bool
xor x y | x == y = 0
| x /= y = 1
| otherwise = error "Impossible"
bitwiseXOR :: Integer -> Integer -> Integer
bitwiseXOR a b | (lenBin a) > (lenBin b) = binToDec $ bitwise xor ((replicate ((lenBin a) - (lenBin b)) 0)++(decToBin b)) (decToBin a)
| (lenBin a) < (lenBin b) = binToDec $ bitwise xor ((replicate ((lenBin b) - (lenBin a)) 0)++(decToBin a)) (decToBin b)
| otherwise =binToDec $ bitwise xor (decToBin b) (decToBin a)
decyph :: [char] -> [char]
decyph key = map chr $ map (\(x,y)-> bitwiseXOR x (ord y) ) $ zip numbers $ cycle key
brute :: [([Char],[Char])]
brute = [(n,k)|k<- (sequence $ replicate 3 ['a'..'z']) ,n <- decyph k, "the" `isInfixOf` n]
numbers :: [Integer]
numbers = [79,59,12,2,79,35,8...]
问题是当我无法运行时,decyph
因为它生成的元组在第一部分只包含一个字符,而在第二部分包含密钥,而不是使用密钥的整个解密文本。我怎样才能解决这个问题?
PS:假设文本将包含字符串“the”是否合理?