From 39772d8b2b12abb89c3e4d819966cee0fd2f1973 Mon Sep 17 00:00:00 2001
From: Jesse McDonald <nybble41@gmail.com>
Date: Sun, 30 Aug 2015 14:35:33 -0500
Subject: [PATCH] Add solution for problem 59.

---
 Problem059.hs   |   53 ++
 p059_cipher.txt |    1 +
 p059_gsl.txt    | 2284 +++++++++++++++++++++++++++++++++++++++++++++++
 3 files changed, 2338 insertions(+)
 create mode 100644 Problem059.hs
 create mode 100644 p059_cipher.txt
 create mode 100644 p059_gsl.txt

diff --git a/Problem059.hs b/Problem059.hs
new file mode 100644
index 0000000..8e2e135
--- /dev/null
+++ b/Problem059.hs
@@ -0,0 +1,53 @@
+-- Each character on a computer is assigned a unique code and the preferred
+-- standard is ASCII (American Standard Code for Information Interchange). For
+-- example, uppercase A = 65, asterisk (*) = 42, and lowercase k = 107.
+--
+-- A modern encryption method is to take a text file, convert the bytes to
+-- ASCII, then XOR each byte with a given value, taken from a secret key. The
+-- advantage with the XOR function is that using the same encryption key on the
+-- cipher text, restores the plain text; for example, 65 XOR 42 = 107, then 107
+-- XOR 42 = 65.
+--
+-- For unbreakable encryption, the key is the same length as the plain text
+-- message, and the key is made up of random bytes. The user would keep the
+-- encrypted message and the encryption key in different locations, and without
+-- both "halves", it is impossible to decrypt the message.
+--
+-- Unfortunately, this method is impractical for most users, so the modified
+-- method is to use a password as a key. If the password is shorter than the
+-- message, which is likely, the key is repeated cyclically throughout the
+-- message. The balance for this method is using a sufficiently long password
+-- key for security, but short enough to be memorable.
+--
+-- Your task has been made easy, as the encryption key consists of three lower
+-- case characters. Using cipher.txt (right click and 'Save Link/Target
+-- As...'), a file containing the encrypted ASCII codes, and the knowledge that
+-- the plain text must contain common English words, decrypt the message and
+-- find the sum of the ASCII values in the original text.
+
+import Euler
+import Data.Attoparsec.Text
+import Data.Bits
+import Data.Char
+import Debug.Trace
+
+import qualified Data.Set     as S
+import qualified Data.Text    as T
+import qualified Data.Text.IO as T
+
+numbersP = decimal `sepBy` char ',' <* optional endOfLine
+
+data GSLWord = GSL { gslIndex :: Int, gslFrequency :: Int, gslWord :: T.Text }
+gslWordP = GSL <$> decimal <* skipSpace <*> decimal <* skipSpace <*> takeWhile1 isPrint
+gslListP = gslWordP `sepBy` endOfLine <* optional endOfLine
+
+main = do
+   Right xs  <- parseOnly numbersP <$> T.readFile "p059_cipher.txt"
+   Right gsl <- parseOnly (S.fromList . map gslWord <$> gslListP) <$> T.readFile "p059_gsl.txt"
+   let lcChars = map fromEnum ['a'..'z']
+   print $ snd $ maximumBy (compare `on` fst) $ do
+      key <- sequenceA $ replicate 3 lcChars
+      let ys = zipWith (xor) (cycle key) xs
+      guard $ all (\c -> c >= 1 && c <= 127) ys
+      let yt = T.pack $ map toEnum ys
+      return (length $ filter (`S.member` gsl) $ map (T.filter isAlpha) $ T.words yt, sum ys)
diff --git a/p059_cipher.txt b/p059_cipher.txt
new file mode 100644
index 0000000..c3ce21e
--- /dev/null
+++ b/p059_cipher.txt
@@ -0,0 +1 @@
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diff --git a/p059_gsl.txt b/p059_gsl.txt
new file mode 100644
index 0000000..9297a06
--- /dev/null
+++ b/p059_gsl.txt
@@ -0,0 +1,2284 @@
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