--- /dev/null
+import qualified Data.Set as S
+import qualified Data.Map.Strict as M
+import Data.Map.Strict ((!))
+import Data.List
+import Data.Word
+import Data.Bits
+-- import Data.Function
+
+type LetterSet = Word32
+type WordSet = M.Map LetterSet (S.Set String)
+type ScoredSet = M.Map LetterSet Int
+type PartitionedScoredSet = M.Map LetterSet ScoredSet
+
+data Honeycomb = Honeycomb LetterSet LetterSet
+ -- deriving (Show, Eq, Ord)
+ deriving (Eq, Ord)
+
+instance Show Honeycomb where
+ show (Honeycomb m ls) = "Honeycomb " ++ (show $ decode m) ++ " | " ++ (show $ decode ls)
+
+main = do
+ allWords <- readFile "enable1.txt"
+ let validWords = [w | w <- words allWords,
+ length w >= 4,
+ (S.size $ S.fromList w) <= 7,
+ 's' `notElem` w]
+ let wordSets = mkWordSets validWords
+ -- let scoredSets = M.mapWithKey (\ls _ -> scoreLetterSet wordSets ls) wordSets
+ let scoredSets = M.mapWithKey scoreLetterSet wordSets
+ let partScoredSets = mkPartitionedScoredSets scoredSets
+ -- let pangramSets = S.filter (\k -> (S.size k == 7) && (not ('s' `S.member` k))) $ M.keysSet scoredSets
+ let pangramSets = S.filter ((7 == ) . popCount) $ M.keysSet scoredSets
+ let plausibleHoneycombs = mkPlausibleHoneycombs pangramSets
+ -- this takes 6 minutes to execute
+ -- let bestHoneycomb = maximumBy (compare `on` (scoreHoneycombP partScoredSets))
+ -- (S.toList plausibleHoneycombs)
+
+ -- this takes 2 minutes to execute
+ let bestHoneycomb = findBestHoneycomb scoredSets plausibleHoneycombs
+ print bestHoneycomb
+
+
+encode :: String -> LetterSet
+encode letters = foldl' encodeLetter zeroBits ['a' .. 'z']
+ where encodeLetter w l
+ | l `elem` letters = setBit (shift w 1) 0
+ | otherwise = shift w 1
+
+decode :: LetterSet -> S.Set Char
+-- decode letterSet = S.filter present $ S.fromList ['a' .. 'z']
+-- where present l = (encode [l] .&. letterSet) > 0
+decode letterSet = S.fromList $ filter present ['a' .. 'z']
+ where present c = testBit letterSet $ negate (fromEnum c - fromEnum 'z')
+
+(⊂) :: LetterSet -> LetterSet -> Bool
+(⊂) this that = (this .&. that == this)
+
+mkWordSets :: [String] -> WordSet
+mkWordSets = foldr addWord M.empty
+ where addWord w = M.insertWith S.union (encode w) (S.singleton w)
+
+present :: LetterSet -> Honeycomb -> Bool
+present target (Honeycomb mandatory letters) =
+ -- (mandatory .&. target == mandatory) && (target .&. letters == target)
+ mandatory ⊂ target && target ⊂ letters
+
+-- scoreLetterSet :: WordSet -> LetterSet -> Int
+-- scoreLetterSet wordSets letterSet = bonus + (sum $ fmap scoreAWord (S.toList scoringWords))
+-- where scoringWords = wordSets ! letterSet
+-- scoreAWord w = if length w == 4 then 1 else length w
+-- bonus = if (S.size letterSet) == 7 then (S.size scoringWords) * 7 else 0
+scoreLetterSet :: LetterSet -> S.Set String -> Int
+-- scoreLetterSet letterSet scoringWords = bonus + (sum $ fmap scoreAWord (S.toAscList scoringWords))
+scoreLetterSet letterSet scoringWords = bonus + (S.foldr' (\w t -> t + scoreAWord w) 0 scoringWords)
+ where scoreAWord w
+ | length w == 4 = 1
+ | otherwise = length w
+ bonus = if (popCount letterSet) == 7 then (S.size scoringWords) * 7 else 0
+
+mkPartitionedScoredSets scoredSets = M.fromList [(encode [c], scoreSetWithLetter $ encode [c]) | c <- ['a'..'z']]
+ where scoreSetWithLetter c = M.filterWithKey (\k _ -> (c .&. k) == c) scoredSets
+
+
+scoreHoneycombSeparate, scoreHoneycomb :: ScoredSet -> Honeycomb -> Int
+scoreHoneycombSeparate scoredSets honeycomb = sum(validScores)
+ where inHoneycomb = M.filterWithKey (\k _ -> present k honeycomb) scoredSets
+ validScores = M.elems inHoneycomb
+scoreHoneycomb scoredSets honeycomb = M.foldrWithKey scoreLetters 0 scoredSets
+ where scoreLetters letters score total
+ | present letters honeycomb = score + total
+ | otherwise = total
+
+
+
+scoreHoneycombP :: PartitionedScoredSet -> Honeycomb -> Int
+-- scoreHoneycombP scoredSets (Honeycomb mandatory letters) = sum validScores
+-- where hasMand = scoredSets ! mandatory
+-- hasLetters = M.filterWithKey (\k _ -> k `S.⊂` letters) hasMand
+-- validScores = M.elems hasLetters
+scoreHoneycombP scoredSets (Honeycomb mandatory letters) =
+ M.foldrWithKey scoreLetters 0 (scoredSets ! mandatory)
+ where scoreLetters ls score total
+ -- | (ls .&. letters) == ls = score + total
+ | ls ⊂ letters = score + total
+ | otherwise = total
+
+mkPlausibleHoneycombs :: S.Set LetterSet -> S.Set Honeycomb
+mkPlausibleHoneycombs pangramSets = S.foldr S.union S.empty honeycombSets
+ where honeycombSets = S.map honeycombsOfLetters pangramSets
+ honeycombsOfLetters ls = S.map (\l -> Honeycomb (encode [l]) ls) $ decode ls
+
+
+findBestHoneycomb scoredSets honeycombs =
+ S.foldr (betterHc scoredSets) (0, initHc) honeycombs
+ where initHc = Honeycomb (encode "a") (encode "a")
+
+betterHc scoredSets hc (bestScore, bestHc)
+ | thisScore > bestScore = (thisScore, hc)
+ | otherwise = (bestScore, bestHc)
+ where thisScore = scoreHoneycomb scoredSets hc
--- /dev/null
+import qualified Data.Set as S
+import qualified Data.Map.Strict as M
+import Data.Map.Strict ((!))
+import Data.List
+import Data.Word
+import Data.Bits
+-- import Data.Function
+
+type LetterSet = Word32
+type WordSet = M.Map LetterSet (S.Set String)
+type ScoredSet = M.Map LetterSet Int
+type PartitionedScoredSet = M.Map LetterSet ScoredSet
+
+data Honeycomb = Honeycomb LetterSet LetterSet
+ -- deriving (Show, Eq, Ord)
+ deriving (Eq, Ord)
+
+instance Show Honeycomb where
+ show (Honeycomb m ls) = "Honeycomb " ++ (show $ decode m) ++ " | " ++ (show $ decode ls)
+
+main = do
+ allWords <- readFile "enable1.txt"
+ let validWords = [w | w <- words allWords,
+ length w >= 4,
+ (S.size $ S.fromList w) <= 7,
+ 's' `notElem` w]
+ let wordSets = mkWordSets validWords
+ -- let scoredSets = M.mapWithKey (\ls _ -> scoreLetterSet wordSets ls) wordSets
+ let scoredSets = M.mapWithKey scoreLetterSet wordSets
+ let partScoredSets = mkPartitionedScoredSets scoredSets
+ -- let pangramSets = S.filter (\k -> (S.size k == 7) && (not ('s' `S.member` k))) $ M.keysSet scoredSets
+ let pangramSets = S.filter ((7 == ) . popCount) $ M.keysSet scoredSets
+ let plausibleHoneycombs = mkPlausibleHoneycombs pangramSets
+ -- this takes 6 minutes to execute
+ -- let bestHoneycomb = maximumBy (compare `on` (scoreHoneycombP partScoredSets))
+ -- (S.toList plausibleHoneycombs)
+
+ -- this takes 2 minutes to execute
+ let bestHoneycomb = findBestHoneycomb partScoredSets plausibleHoneycombs
+ print bestHoneycomb
+
+
+encode :: String -> LetterSet
+encode letters = foldl' encodeLetter zeroBits ['a' .. 'z']
+ where encodeLetter w l
+ | l `elem` letters = setBit (shift w 1) 0
+ | otherwise = shift w 1
+
+decode :: LetterSet -> S.Set Char
+-- decode letterSet = S.filter present $ S.fromList ['a' .. 'z']
+-- where present l = (encode [l] .&. letterSet) > 0
+decode letterSet = S.fromList $ filter present ['a' .. 'z']
+ where present c = testBit letterSet $ negate (fromEnum c - fromEnum 'z')
+
+(⊂) :: LetterSet -> LetterSet -> Bool
+(⊂) this that = (this .&. that == this)
+
+mkWordSets :: [String] -> WordSet
+mkWordSets = foldr addWord M.empty
+ where addWord w = M.insertWith S.union (encode w) (S.singleton w)
+
+present :: LetterSet -> Honeycomb -> Bool
+present target (Honeycomb mandatory letters) =
+ -- (mandatory .&. target == mandatory) && (target .&. letters == target)
+ mandatory ⊂ target && target ⊂ letters
+
+-- scoreLetterSet :: WordSet -> LetterSet -> Int
+-- scoreLetterSet wordSets letterSet = bonus + (sum $ fmap scoreAWord (S.toList scoringWords))
+-- where scoringWords = wordSets ! letterSet
+-- scoreAWord w = if length w == 4 then 1 else length w
+-- bonus = if (S.size letterSet) == 7 then (S.size scoringWords) * 7 else 0
+scoreLetterSet :: LetterSet -> S.Set String -> Int
+-- scoreLetterSet letterSet scoringWords = bonus + (sum $ fmap scoreAWord (S.toAscList scoringWords))
+scoreLetterSet letterSet scoringWords = bonus + (S.foldr' (\w t -> t + scoreAWord w) 0 scoringWords)
+ where scoreAWord w
+ | length w == 4 = 1
+ | otherwise = length w
+ bonus = if (popCount letterSet) == 7 then (S.size scoringWords) * 7 else 0
+
+mkPartitionedScoredSets scoredSets = M.fromList [(encode [c], scoreSetWithLetter $ encode [c]) | c <- ['a'..'z']]
+ where scoreSetWithLetter c = M.filterWithKey (\k _ -> (c .&. k) == c) scoredSets
+
+
+scoreHoneycombSeparate, scoreHoneycomb :: ScoredSet -> Honeycomb -> Int
+scoreHoneycombSeparate scoredSets honeycomb = sum(validScores)
+ where inHoneycomb = M.filterWithKey (\k _ -> present k honeycomb) scoredSets
+ validScores = M.elems inHoneycomb
+scoreHoneycomb scoredSets honeycomb = M.foldrWithKey scoreLetters 0 scoredSets
+ where scoreLetters letters score total
+ | present letters honeycomb = score + total
+ | otherwise = total
+
+
+
+scoreHoneycombP :: PartitionedScoredSet -> Honeycomb -> Int
+-- scoreHoneycombP scoredSets (Honeycomb mandatory letters) = sum validScores
+-- where hasMand = scoredSets ! mandatory
+-- hasLetters = M.filterWithKey (\k _ -> k `S.isSubsetOf` letters) hasMand
+-- validScores = M.elems hasLetters
+scoreHoneycombP scoredSets (Honeycomb mandatory letters) =
+ M.foldrWithKey scoreLetters 0 (scoredSets ! mandatory)
+ where scoreLetters ls score total
+ -- | (ls .&. letters) == ls = score + total
+ | ls ⊂ letters = score + total
+ | otherwise = total
+
+mkPlausibleHoneycombs :: S.Set LetterSet -> S.Set Honeycomb
+mkPlausibleHoneycombs pangramSets = S.foldr S.union S.empty honeycombSets
+ where honeycombSets = S.map honeycombsOfLetters pangramSets
+ honeycombsOfLetters ls = S.map (\l -> Honeycomb (encode [l]) ls) $ decode ls
+
+
+findBestHoneycomb partScoredSets honeycombs =
+ S.foldr (betterHc partScoredSets) (0, initHc) honeycombs
+ where initHc = Honeycomb (encode "a") (encode "a")
+
+betterHc partScoredSets hc (bestScore, bestHc)
+ | thisScore > bestScore = (thisScore, hc)
+ | otherwise = (bestScore, bestHc)
+ where thisScore = scoreHoneycombP partScoredSets hc
--- /dev/null
+import qualified Data.Set as S
+import qualified Data.Map.Strict as M
+import Data.Map.Strict ((!))
+import Data.List
+-- import Data.Function
+
+type LetterSet = S.Set Char
+type WordSet = M.Map LetterSet (S.Set String)
+type ScoredSet = M.Map LetterSet Int
+type PartitionedScoredSet = M.Map Char ScoredSet
+
+data Honeycomb = Honeycomb Char LetterSet
+ deriving (Show, Eq, Ord)
+
+main = do
+ allWords <- readFile "enable1.txt"
+ let validWords = [w | w <- words allWords,
+ length w >= 4,
+ (S.size $ S.fromList w) <= 7,
+ 's' `notElem` w]
+ let wordSets = mkWordSets validWords
+ -- let scoredSets = M.mapWithKey (\ls _ -> scoreLetterSet wordSets ls) wordSets
+ let scoredSets = M.mapWithKey scoreLetterSet wordSets
+ let partScoredSets = mkPartitionedScoredSets scoredSets
+ -- let pangramSets = S.filter (\k -> (S.size k == 7) && (not ('s' `S.member` k))) $ M.keysSet scoredSets
+ let pangramSets = S.filter ((7 == ) . S.size) $ M.keysSet scoredSets
+ let plausibleHoneycombs = mkPlausibleHoneycombs pangramSets
+ -- this takes 6 minutes to execute
+ -- let bestHoneycomb = maximumBy (compare `on` (scoreHoneycombP partScoredSets))
+ -- (S.toList plausibleHoneycombs)
+
+ -- this takes 2 minutes to execute
+ let bestHoneycomb = findBestHoneycomb scoredSets plausibleHoneycombs
+ print bestHoneycomb
+
+
+mkWordSets :: [String] -> WordSet
+mkWordSets = foldr addWord M.empty
+ where addWord w = M.insertWith S.union (S.fromList w) (S.singleton w)
+
+present :: LetterSet -> Honeycomb -> Bool
+present target (Honeycomb mandatory letters) =
+ (mandatory `S.member` target) && ({-# SCC "present_subset" #-} target `S.isSubsetOf` letters)
+
+-- scoreLetterSet :: WordSet -> LetterSet -> Int
+-- scoreLetterSet wordSets letterSet = bonus + (sum $ fmap scoreAWord (S.toList scoringWords))
+-- where scoringWords = wordSets ! letterSet
+-- scoreAWord w = if length w == 4 then 1 else length w
+-- bonus = if (S.size letterSet) == 7 then (S.size scoringWords) * 7 else 0
+scoreLetterSet :: LetterSet -> S.Set String -> Int
+-- scoreLetterSet letterSet scoringWords = bonus + (sum $ fmap scoreAWord (S.toAscList scoringWords))
+scoreLetterSet letterSet scoringWords = bonus + (S.foldr' (\w t -> t + scoreAWord w) 0 scoringWords)
+ where scoreAWord w
+ | length w == 4 = 1
+ | otherwise = length w
+ bonus = if (S.size letterSet) == 7 then (S.size scoringWords) * 7 else 0
+
+mkPartitionedScoredSets scoredSets = M.fromList [(c, scoreSetWithLetter c) | c <- ['a'..'z']]
+ where scoreSetWithLetter c = M.filterWithKey (\k _ -> c `S.member` k) scoredSets
+
+
+scoreHoneycombSeparate, scoreHoneycomb :: ScoredSet -> Honeycomb -> Int
+scoreHoneycombSeparate scoredSets honeycomb = sum(validScores)
+ where inHoneycomb = M.filterWithKey (\k _ -> present k honeycomb) scoredSets
+ validScores = M.elems inHoneycomb
+scoreHoneycomb scoredSets honeycomb = M.foldrWithKey scoreLetters 0 scoredSets
+ where scoreLetters letters score total
+ | present letters honeycomb = score + total
+ | otherwise = total
+
+
+mkPlausibleHoneycombs :: S.Set LetterSet -> S.Set Honeycomb
+mkPlausibleHoneycombs pangramSets = S.foldr S.union S.empty honeycombSets
+ where honeycombSets = S.map honeycombsOfLetters pangramSets
+ honeycombsOfLetters ls = S.map (\l -> Honeycomb l ls) ls
+
+
+findBestHoneycomb scoredSets honeycombs =
+ S.foldr (betterHc scoredSets) (0, initHc) honeycombs
+ where initHc = Honeycomb 'a' $ S.singleton 'a'
+
+betterHc scoredSets hc (bestScore, bestHc)
+ | thisScore > bestScore = (thisScore, hc)
+ | otherwise = (bestScore, bestHc)
+ where thisScore = scoreHoneycomb scoredSets hc
import qualified Data.Map.Strict as M
import Data.Map.Strict ((!))
import Data.List
-import Data.Function
+-- import Data.Function
type LetterSet = S.Set Char
type WordSet = M.Map LetterSet (S.Set String)
deriving (Show, Eq, Ord)
main = do
- lines <- readFile "enable1.txt"
- let allWords = [w | w <- words lines,
+ allWords <- readFile "enable1.txt"
+ let validWords = [w | w <- words allWords,
length w >= 4,
(S.size $ S.fromList w) <= 7,
's' `notElem` w]
- let wordSets = mkWordSets allWords
- let scoredSets = M.mapWithKey (\ls _ -> scoreLetterSet wordSets ls) wordSets
+ let wordSets = mkWordSets validWords
+ -- let scoredSets = M.mapWithKey (\ls _ -> scoreLetterSet wordSets ls) wordSets
+ let scoredSets = M.mapWithKey scoreLetterSet wordSets
let partScoredSets = mkPartitionedScoredSets scoredSets
- let pangramSets = S.filter (\k -> (S.size k == 7) && (not ('s' `S.member` k))) $ M.keysSet scoredSets
+ -- let pangramSets = S.filter (\k -> (S.size k == 7) && (not ('s' `S.member` k))) $ M.keysSet scoredSets
+ let pangramSets = S.filter ((7 == ) . S.size) $ M.keysSet scoredSets
let plausibleHoneycombs = mkPlausibleHoneycombs pangramSets
-- this takes 6 minutes to execute
-- let bestHoneycomb = maximumBy (compare `on` (scoreHoneycombP partScoredSets))
mkWordSets :: [String] -> WordSet
-mkWordSets ws = foldr addWord M.empty ws
+mkWordSets = foldr addWord M.empty
where addWord w = M.insertWith S.union (S.fromList w) (S.singleton w)
present :: LetterSet -> Honeycomb -> Bool
present target (Honeycomb mandatory letters) =
(mandatory `S.member` target) && (target `S.isSubsetOf` letters)
-scoreLetterSet :: WordSet -> LetterSet -> Int
-scoreLetterSet wordSets letterSet = bonus + (sum $ fmap scoreAWord (S.toList scoringWords))
- where scoringWords = wordSets ! letterSet
- scoreAWord w = if length w == 4 then 1 else length w
+-- scoreLetterSet :: WordSet -> LetterSet -> Int
+-- scoreLetterSet wordSets letterSet = bonus + (sum $ fmap scoreAWord (S.toList scoringWords))
+-- where scoringWords = wordSets ! letterSet
+-- scoreAWord w = if length w == 4 then 1 else length w
+-- bonus = if (S.size letterSet) == 7 then (S.size scoringWords) * 7 else 0
+scoreLetterSet :: LetterSet -> S.Set String -> Int
+-- scoreLetterSet letterSet scoringWords = bonus + (sum $ fmap scoreAWord (S.toAscList scoringWords))
+scoreLetterSet letterSet scoringWords = bonus + (S.foldr' (\w t -> t + scoreAWord w) 0 scoringWords)
+ where scoreAWord w
+ | length w == 4 = 1
+ | otherwise = length w
bonus = if (S.size letterSet) == 7 then (S.size scoringWords) * 7 else 0
mkPartitionedScoredSets scoredSets = M.fromList [(c, scoreSetWithLetter c) | c <- ['a'..'z']]
where scoreSetWithLetter c = M.filterWithKey (\k _ -> c `S.member` k) scoredSets
-scoreHoneycomb :: ScoredSet -> Honeycomb -> Int
-scoreHoneycomb scoredSets (Honeycomb mandatory letters) = sum(validScores)
- where hasMand = M.filterWithKey (\k _ -> mandatory `S.member` k) scoredSets
- hasLetters = M.filterWithKey (\k _ -> k `S.isSubsetOf` letters) hasMand
- validScores = M.elems hasLetters
+
+scoreHoneycombSeparate, scoreHoneycomb :: ScoredSet -> Honeycomb -> Int
+scoreHoneycombSeparate scoredSets honeycomb = sum(validScores)
+ where inHoneycomb = M.filterWithKey (\k _ -> present k honeycomb) scoredSets
+ validScores = M.elems inHoneycomb
+scoreHoneycomb scoredSets honeycomb = M.foldrWithKey scoreLetters 0 scoredSets
+ where scoreLetters letters score total
+ | present letters honeycomb = score + total
+ | otherwise = total
+
+
scoreHoneycombP :: PartitionedScoredSet -> Honeycomb -> Int
-scoreHoneycombP scoredSets (Honeycomb mandatory letters) = sum(validScores)
- where hasMand = scoredSets ! mandatory
- hasLetters = M.filterWithKey (\k _ -> k `S.isSubsetOf` letters) hasMand
- validScores = M.elems hasLetters
+-- scoreHoneycombP scoredSets (Honeycomb mandatory letters) = sum validScores
+-- where hasMand = scoredSets ! mandatory
+-- hasLetters = M.filterWithKey (\k _ -> k `S.isSubsetOf` letters) hasMand
+-- validScores = M.elems hasLetters
+scoreHoneycombP scoredSets (Honeycomb mandatory letters) =
+ M.foldrWithKey scoreLetters 0 (scoredSets ! mandatory)
+ where scoreLetters ls score total
+ | ls `S.isSubsetOf` letters = score + total
+ | otherwise = total
mkPlausibleHoneycombs :: S.Set LetterSet -> S.Set Honeycomb
mkPlausibleHoneycombs pangramSets = S.foldr S.union S.empty honeycombSets
S.foldr (betterHc partScoredSets) (0, initHc) honeycombs
where initHc = Honeycomb 'a' $ S.singleton 'a'
-betterHc partScoredSets hc (bestScore, bestHc) =
- if thisScore > bestScore
- then (thisScore, hc)
- else (bestScore, bestHc)
+betterHc partScoredSets hc (bestScore, bestHc)
+ | thisScore > bestScore = (thisScore, hc)
+ | otherwise = (bestScore, bestHc)
where thisScore = scoreHoneycombP partScoredSets hc
},
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": 45,
"id": "6f6fa3e7",
"metadata": {},
"outputs": [],
"import string\n",
"import collections\n",
"from dataclasses import dataclass\n",
- "import itertools"
+ "import itertools\n",
+ "import cProfile"
]
},
{
"cell_type": "code",
- "execution_count": 2,
- "id": "7f00bc22",
- "metadata": {},
- "outputs": [],
- "source": [
- "def only_letters(text):\n",
- " return ''.join([c.lower() for c in text if c in string.ascii_letters])"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "cb0b4230",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "'hello'"
- ]
- },
- "execution_count": 3,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "only_letters('Hell!o')"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "id": "9546868c",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "101924"
- ]
- },
- "execution_count": 4,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "with open('/usr/share/dict/british-english') as f:\n",
- " words = [line.rstrip() for line in f]\n",
- "len(words)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 79,
+ "execution_count": 5,
"id": "88f00e4c",
"metadata": {},
"outputs": [
"172820"
]
},
- "execution_count": 79,
+ "execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"with open('enable1.txt') as f:\n",
- " words = [line.rstrip() for line in f]\n",
- "len(words)"
+ " words = [line.strip() for line in f]"
]
},
{
"cell_type": "code",
- "execution_count": 80,
+ "execution_count": 6,
"id": "1e75fba2",
"metadata": {},
"outputs": [],
"source": [
- "words = set(only_letters(w) \n",
- " for w in words \n",
- " if len(only_letters(w)) >= 4\n",
- " if len(frozenset(only_letters(w))) <= 7\n",
+ "words = set(w for w in words \n",
+ " if len(w) >= 4\n",
+ " if len(frozenset(w)) <= 7\n",
" if 's' not in w)"
]
},
{
"cell_type": "code",
- "execution_count": 81,
- "id": "49473123",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "44585"
- ]
- },
- "execution_count": 81,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "len(words)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 82,
+ "execution_count": 8,
"id": "e1f9b35e",
"metadata": {},
"outputs": [
"21661"
]
},
- "execution_count": 82,
+ "execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
"word_sets = collections.defaultdict(set)\n",
"for w in words:\n",
" letters = frozenset(w)\n",
- " word_sets[letters].add(w)\n",
- "len(word_sets)"
+ " word_sets[letters].add(w)"
]
},
{
"cell_type": "code",
- "execution_count": 86,
- "id": "63121d2b",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "{'elephant', 'naphthalene', 'pentathlete'}"
- ]
- },
- "execution_count": 86,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "word_sets[frozenset('elephant')]"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 87,
+ "execution_count": 11,
"id": "267130ba",
"metadata": {},
"outputs": [],
},
{
"cell_type": "code",
- "execution_count": 88,
- "id": "0ca00165",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "g|aelmpx"
- ]
- },
- "execution_count": 88,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "honeycomb = Honeycomb(mandatory='g', letters=frozenset('apxmelg'))\n",
- "honeycomb"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 89,
+ "execution_count": 13,
"id": "bb848e88",
"metadata": {},
"outputs": [],
"source": [
- "def present(honeycomb, target):\n",
- " return (honeycomb.mandatory in target) and target.issubset(honeycomb.letters)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 90,
- "id": "add4f445",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "14"
- ]
- },
- "execution_count": 90,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "present_sets = [s for s in word_sets if present(honeycomb, s)]\n",
- "len(present_sets)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 91,
- "id": "3354f6d7",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[frozenset({'a', 'e', 'g', 'p'}),\n",
- " frozenset({'a', 'e', 'g', 'm'}),\n",
- " frozenset({'a', 'g', 'm'}),\n",
- " frozenset({'a', 'e', 'g', 'l', 'p'}),\n",
- " frozenset({'a', 'e', 'g', 'l'}),\n",
- " frozenset({'a', 'e', 'g'}),\n",
- " frozenset({'a', 'g', 'l'}),\n",
- " frozenset({'a', 'g', 'l', 'm'}),\n",
- " frozenset({'a', 'e', 'g', 'l', 'm'}),\n",
- " frozenset({'a', 'g'}),\n",
- " frozenset({'a', 'g', 'l', 'x'}),\n",
- " frozenset({'e', 'g', 'l'}),\n",
- " frozenset({'a', 'g', 'l', 'p'}),\n",
- " frozenset({'a', 'g', 'm', 'p'})]"
- ]
- },
- "execution_count": 91,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "present_sets"
+ "def present(target, honeycomb):\n",
+ " return ( (honeycomb.mandatory in target) \n",
+ " and target.issubset(honeycomb.letters)\n",
+ " )"
]
},
{
"cell_type": "code",
- "execution_count": 92,
- "id": "2e85ce06",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "{'peag', 'agapae', 'peage', 'gape', 'agape', 'page'}\n",
- "{'game', 'gemmae', 'mage', 'gemma'}\n",
- "{'magma', 'agma', 'agama', 'gamma', 'gama'}\n",
- "{'pelage', 'plage'}\n",
- "{'eagle', 'algae', 'galeae', 'aglee', 'allege', 'legal', 'galea', 'gale', 'gaggle', 'egal'}\n",
- "{'gage', 'agee'}\n",
- "{'gala', 'gall', 'alga', 'algal'}\n",
- "{'amalgam'}\n",
- "{'agleam', 'gleam'}\n",
- "{'gaga'}\n",
- "{'galax'}\n",
- "{'glee', 'gelee', 'gleg'}\n",
- "{'plagal'}\n",
- "{'gamp'}\n"
- ]
- }
- ],
- "source": [
- "for s in present_sets:\n",
- " print(word_sets[s])"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 93,
+ "execution_count": 17,
"id": "3c6f212e",
"metadata": {},
"outputs": [],
},
{
"cell_type": "code",
- "execution_count": 94,
- "id": "01c3743c",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "153"
- ]
- },
- "execution_count": 94,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "sum(score(present_set) for present_set in present_sets)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 95,
- "id": "1f45f6f5",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "False"
- ]
- },
- "execution_count": 95,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "set('megaplex') in words"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 96,
- "id": "979d9ed5",
- "metadata": {},
- "outputs": [],
- "source": [
- "scored_sets = {s: score(s) for s in word_sets}"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 97,
- "id": "790b7303",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "frozenset({'e', 'a', 'p', 'g'}) {'peag', 'agapae', 'peage', 'gape', 'agape', 'page'} 19 19\n",
- "frozenset({'m', 'a', 'e', 'g'}) {'game', 'gemmae', 'mage', 'gemma'} 13 13\n",
- "frozenset({'m', 'a', 'g'}) {'magma', 'agma', 'agama', 'gamma', 'gama'} 17 17\n",
- "frozenset({'p', 'l', 'a', 'g', 'e'}) {'pelage', 'plage'} 11 11\n",
- "frozenset({'a', 'l', 'e', 'g'}) {'eagle', 'algae', 'galeae', 'aglee', 'allege', 'legal', 'galea', 'gale', 'gaggle', 'egal'} 45 45\n",
- "frozenset({'a', 'e', 'g'}) {'gage', 'agee'} 2 2\n",
- "frozenset({'a', 'l', 'g'}) {'gala', 'gall', 'alga', 'algal'} 8 8\n",
- "frozenset({'m', 'a', 'l', 'g'}) {'amalgam'} 7 7\n",
- "frozenset({'m', 'a', 'l', 'g', 'e'}) {'agleam', 'gleam'} 11 11\n",
- "frozenset({'a', 'g'}) {'gaga'} 1 1\n",
- "frozenset({'a', 'l', 'x', 'g'}) {'galax'} 5 5\n",
- "frozenset({'l', 'e', 'g'}) {'glee', 'gelee', 'gleg'} 7 7\n",
- "frozenset({'l', 'a', 'p', 'g'}) {'plagal'} 6 6\n",
- "frozenset({'m', 'a', 'p', 'g'}) {'gamp'} 1 1\n"
- ]
- }
- ],
- "source": [
- "for s in present_sets:\n",
- " print(s, word_sets[s], score(s), scored_sets[s])"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 98,
+ "execution_count": 22,
"id": "78d423a5",
"metadata": {},
"outputs": [],
"source": [
"def score_honeycomb(honeycomb):\n",
" return sum(sc for letters, sc in scored_sets.items() \n",
- " if honeycomb.mandatory in letters\n",
- " if letters.issubset(honeycomb.letters)\n",
- "# if present(honeycomb, letters)\n",
+ " # if honeycomb.mandatory in letters\n",
+ " # if letters.issubset(honeycomb.letters)\n",
+ " if present(letters, honeycomb)\n",
" )"
]
},
{
"cell_type": "code",
- "execution_count": 99,
- "id": "3c7c7a83",
+ "execution_count": 30,
+ "id": "febee1c1",
"metadata": {},
"outputs": [
{
- "data": {
- "text/plain": [
- "153"
- ]
- },
- "execution_count": 99,
- "metadata": {},
- "output_type": "execute_result"
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "pangram sets: 7986\n"
+ ]
}
],
"source": [
- "score_honeycomb(honeycomb)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 100,
- "id": "d53c4d64",
- "metadata": {},
- "outputs": [],
- "source": [
- "# hcs = []\n",
- "\n",
- "# for mand in 'abcde':\n",
- "# remaining = set('abcde') - set(mand)\n",
- "# for others in itertools.combinations(remaining, r=3):\n",
- "# hcs.append(Honeycomb(mandatory=mand, letters=frozenset(others) | frozenset(mand)))\n",
- "\n",
- "# print(len(hcs))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 101,
- "id": "d967a3df",
- "metadata": {},
- "outputs": [],
- "source": [
- "# hcs"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 102,
- "id": "4a07a6b7",
- "metadata": {},
- "outputs": [],
- "source": [
- "# honeycombs = []\n",
- "\n",
- "# for mand in string.ascii_lowercase:\n",
- "# remaining = set(string.ascii_lowercase) - set(mand)\n",
- "# for others in itertools.combinations(remaining, r=6):\n",
- "# honeycombs.append(Honeycomb(mandatory=mand, letters=frozenset(others) | frozenset(mand)))\n",
- "\n",
- "# print(len(honeycombs))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 103,
- "id": "14c38054",
- "metadata": {},
- "outputs": [],
- "source": [
- "# honeycombs = []\n",
- "\n",
- "# candidate_letters = set(string.ascii_lowercase)\n",
- "# candidate_letters.remove('s')\n",
- "# candidate_letters = frozenset(candidate_letters)\n",
- "\n",
- "# for mand in candidate_letters:\n",
- "# remaining = candidate_letters - set(mand)\n",
- "# for others in itertools.combinations(remaining, r=6):\n",
- "# honeycombs.append(Honeycomb(mandatory=mand, letters=frozenset(others) | frozenset(mand)))\n",
- "\n",
- "# print(len(honeycombs))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 104,
- "id": "f8ea5307",
- "metadata": {},
- "outputs": [],
- "source": [
- "# [(h, score_honeycomb(h)) for h in honeycombs[:5]]"
+ "pangram_sets = [s for s in word_sets.keys() if len(s) == 7 if 's' not in s]\n",
+ "print(\"pangram sets:\", len(pangram_sets))"
]
},
{
"cell_type": "code",
- "execution_count": 105,
- "id": "4f2118dc",
+ "execution_count": 31,
+ "id": "54a06bdf",
"metadata": {},
"outputs": [],
"source": [
- "# %%timeit\n",
- "# max(honeycombs, key=score_honeycomb)"
+ "with open('pangaram_words.txt', 'w') as f:\n",
+ " for s in pangram_sets:\n",
+ " for w in word_sets[s]:\n",
+ " f.write(f'{w}\\n')"
]
},
{
"cell_type": "code",
- "execution_count": 106,
- "id": "febee1c1",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "7986"
- ]
- },
- "execution_count": 106,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "pangram_sets = [s for s in word_sets.keys() if len(s) == 7 if 's' not in s]\n",
- "len(pangram_sets)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 107,
- "id": "54a06bdf",
+ "execution_count": 32,
+ "id": "007d3404",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "55902\n"
+ "55902 honeycombs\n"
]
}
],
"source": [
- "ps_honeycombs = []\n",
+ "# ps_honeycombs = []\n",
"\n",
- "for ps in pangram_sets:\n",
- " for mand in ps:\n",
- " ps_honeycombs.append(Honeycomb(mandatory=mand, letters=ps))\n",
+ "# for ps in pangram_sets:\n",
+ "# for mand in ps:\n",
+ "# ps_honeycombs.append(Honeycomb(mandatory=mand, letters=ps))\n",
"\n",
- "print(len(ps_honeycombs))"
+ "ps_honeycombs = [Honeycomb(mandatory=mand, letters=ps) \n",
+ " for ps in pangram_sets\n",
+ " for mand in ps]\n",
+ "print(len(ps_honeycombs), \"honeycombs\")"
]
},
{
"cell_type": "code",
- "execution_count": 108,
- "id": "301b3cd0",
- "metadata": {},
- "outputs": [],
- "source": [
- "# %%timeit\n",
- "# max(ps_honeycombs, key=score_honeycomb)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 109,
- "id": "653613ac",
- "metadata": {},
- "outputs": [],
- "source": [
- "## 1 a,e,g,i,n,r,t r 3898\n",
- "## 2 a,e,g,i,n,r,t n 3782\n",
- "## 3 a,e,g,i,n,r,t e 3769"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 110,
- "id": "3cdbd956",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "3898"
- ]
- },
- "execution_count": 110,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "score_honeycomb(Honeycomb('r', frozenset('aeginrt')))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 111,
- "id": "5f06f87b",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "3782"
- ]
- },
- "execution_count": 111,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "score_honeycomb(Honeycomb('n', frozenset('aeginrtn')))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 112,
- "id": "ab6bc64e",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "3769"
- ]
- },
- "execution_count": 112,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "score_honeycomb(Honeycomb('e', frozenset('aeginrte')))"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 113,
+ "execution_count": 38,
"id": "914fece8",
"metadata": {},
"outputs": [
"26"
]
},
- "execution_count": 113,
+ "execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"partitioned_scored_sets = {l: {s: scored_sets[s] for s in scored_sets if l in s} \n",
- " for l in string.ascii_lowercase}\n",
- "len(partitioned_scored_sets)"
+ " for l in string.ascii_lowercase}"
]
},
{
"cell_type": "code",
- "execution_count": 114,
+ "execution_count": 39,
"id": "f1454ccd",
"metadata": {},
"outputs": [],
},
{
"cell_type": "code",
- "execution_count": 115,
+ "execution_count": 40,
"id": "7380dbd6",
"metadata": {},
"outputs": [
"name": "stdout",
"output_type": "stream",
"text": [
- "r|aegint\n"
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "1min 25s ± 2.51 s per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
- "# %%timeit\n",
- "print(max(ps_honeycombs, key=partitioned_score_honeycomb))"
+ "# # %%timeit\n",
+ "# best_honyecomb = max(ps_honeycombs, key=partitioned_score_honeycomb)\n",
+ "# print(best_honyecomb, partitioned_score_honeycomb(best_honyecomb))"
]
},
{
"cell_type": "code",
- "execution_count": 74,
- "id": "51d0317c",
+ "execution_count": 44,
+ "id": "0239b444-1240-4744-8547-c41367527785",
"metadata": {},
"outputs": [
{
- "data": {
- "text/plain": [
- "13"
- ]
- },
- "execution_count": 74,
- "metadata": {},
- "output_type": "execute_result"
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "r|aegint 3898\n",
+ "5min 38s ± 4.58 s per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
+ ]
}
],
"source": [
- "# partitioned_score_honeycomb(Honeycomb('a', 'abc'))"
+ "# %%timeit\n",
+ "best_honyecomb = max(ps_honeycombs, key=score_honeycomb)\n",
+ "print(best_honyecomb, partitioned_score_honeycomb(best_honyecomb))"
]
},
{
"cell_type": "code",
- "execution_count": 76,
- "id": "77d74a74-55e9-498b-abdf-b02c1f7f01a3",
- "metadata": {},
+ "execution_count": 46,
+ "id": "7e4173b4-26a9-4198-b572-d57db321fe94",
+ "metadata": {
+ "lines_to_next_cell": 2
+ },
"outputs": [
{
- "data": {
- "text/plain": [
- "19941"
- ]
- },
- "execution_count": 76,
- "metadata": {},
- "output_type": "execute_result"
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " 1612136594 function calls in 589.284 seconds\n",
+ "\n",
+ " Ordered by: standard name\n",
+ "\n",
+ " ncalls tottime percall cumtime percall filename:lineno(function)\n",
+ " 55902 0.316 0.000 589.070 0.011 1101428662.py:1(score_honeycomb)\n",
+ " 1846420 257.034 0.000 588.167 0.000 1101428662.py:2(<genexpr>)\n",
+ "1210893222 276.103 0.000 331.132 0.000 1250517269.py:1(present)\n",
+ " 1 0.000 0.000 589.284 589.284 <string>:1(<module>)\n",
+ " 1 0.000 0.000 589.284 589.284 {built-in method builtins.exec}\n",
+ " 1 0.214 0.214 589.284 589.284 {built-in method builtins.max}\n",
+ " 55902 0.567 0.000 588.733 0.011 {built-in method builtins.sum}\n",
+ " 1 0.000 0.000 0.000 0.000 {method 'disable' of '_lsprof.Profiler' objects}\n",
+ "399229242 55.030 0.000 55.030 0.000 {method 'issubset' of 'frozenset' objects}\n",
+ " 55902 0.021 0.000 0.021 0.000 {method 'items' of 'dict' objects}\n",
+ "\n",
+ "\n"
+ ]
}
],
"source": [
- "# max(len(partitioned_scored_sets[k]) for k in partitioned_scored_sets)"
+ "# cProfile.run('max(ps_honeycombs, key=score_honeycomb)')"
]
},
{
"cell_type": "code",
- "execution_count": 77,
- "id": "35b58dec-7138-4fdb-86cc-80f3eb6a555a",
- "metadata": {},
+ "execution_count": 47,
+ "id": "8f2de1b8-6a09-44eb-af7b-3e16c902859f",
+ "metadata": {
+ "lines_to_next_cell": 2
+ },
"outputs": [
{
- "data": {
- "text/plain": [
- "37313"
- ]
- },
- "execution_count": 77,
- "metadata": {},
- "output_type": "execute_result"
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " 401243372 function calls in 150.954 seconds\n",
+ "\n",
+ " Ordered by: standard name\n",
+ "\n",
+ " ncalls tottime percall cumtime percall filename:lineno(function)\n",
+ " 55902 0.226 0.000 150.835 0.003 346452243.py:1(partitioned_score_honeycomb)\n",
+ " 1846420 86.829 0.000 150.189 0.000 346452243.py:2(<genexpr>)\n",
+ " 1 0.000 0.000 150.954 150.954 <string>:1(<module>)\n",
+ " 1 0.000 0.000 150.954 150.954 {built-in method builtins.exec}\n",
+ " 1 0.119 0.119 150.954 150.954 {built-in method builtins.max}\n",
+ " 55902 0.407 0.000 150.596 0.003 {built-in method builtins.sum}\n",
+ " 1 0.000 0.000 0.000 0.000 {method 'disable' of '_lsprof.Profiler' objects}\n",
+ "399229242 63.360 0.000 63.360 0.000 {method 'issubset' of 'frozenset' objects}\n",
+ " 55902 0.013 0.000 0.013 0.000 {method 'items' of 'dict' objects}\n",
+ "\n",
+ "\n"
+ ]
}
],
"source": [
- "# len(scored_sets)"
+ "# cProfile.run('max(ps_honeycombs, key=partitioned_score_honeycomb)')"
]
},
{
"cell_type": "code",
"execution_count": null,
- "id": "7e4173b4-26a9-4198-b572-d57db321fe94",
+ "id": "4c3a5684-346b-4cf7-b238-391f9a6ba2dd",
"metadata": {},
"outputs": [],
"source": []
],
"metadata": {
"jupytext": {
- "formats": "ipynb,auto:light"
+ "formats": "ipynb,py:light"
},
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
import collections
from dataclasses import dataclass
import itertools
-
-
-def only_letters(text):
- return ''.join([c.lower() for c in text if c in string.ascii_letters])
-
-
-only_letters('Hell!o')
-
-with open('/usr/share/dict/british-english') as f:
- words = [line.rstrip() for line in f]
-len(words)
+import cProfile
with open('enable1.txt') as f:
- words = [line.rstrip() for line in f]
-len(words)
+ words = [line.strip() for line in f]
-words = set(only_letters(w)
- for w in words
- if len(only_letters(w)) >= 4
- if len(frozenset(only_letters(w))) <= 7
+words = set(w for w in words
+ if len(w) >= 4
+ if len(frozenset(w)) <= 7
if 's' not in w)
-len(words)
-
word_sets = collections.defaultdict(set)
for w in words:
letters = frozenset(w)
word_sets[letters].add(w)
-len(word_sets)
-
-word_sets[frozenset('elephant')]
@dataclass(frozen=True)
return f'{self.mandatory}|{"".join(sorted(self.letters - set(self.mandatory)))}'
-honeycomb = Honeycomb(mandatory='g', letters=frozenset('apxmelg'))
-honeycomb
-
-
-def present(honeycomb, target):
- return (honeycomb.mandatory in target) and target.issubset(honeycomb.letters)
-
-
-present_sets = [s for s in word_sets if present(honeycomb, s)]
-len(present_sets)
-
-present_sets
-
-for s in present_sets:
- print(word_sets[s])
+def present(target, honeycomb):
+ return ( (honeycomb.mandatory in target)
+ and target.issubset(honeycomb.letters)
+ )
def score(present_set):
return score
-sum(score(present_set) for present_set in present_sets)
-
-set('megaplex') in words
-
-scored_sets = {s: score(s) for s in word_sets}
-
-for s in present_sets:
- print(s, word_sets[s], score(s), scored_sets[s])
-
-
def score_honeycomb(honeycomb):
return sum(sc for letters, sc in scored_sets.items()
- if honeycomb.mandatory in letters
- if letters.issubset(honeycomb.letters)
-# if present(honeycomb, letters)
+ # if honeycomb.mandatory in letters
+ # if letters.issubset(honeycomb.letters)
+ if present(letters, honeycomb)
)
-score_honeycomb(honeycomb)
-
-# +
-# hcs = []
-
-# for mand in 'abcde':
-# remaining = set('abcde') - set(mand)
-# for others in itertools.combinations(remaining, r=3):
-# hcs.append(Honeycomb(mandatory=mand, letters=frozenset(others) | frozenset(mand)))
-
-# print(len(hcs))
-
-# +
-# hcs
-
-# +
-# honeycombs = []
-
-# for mand in string.ascii_lowercase:
-# remaining = set(string.ascii_lowercase) - set(mand)
-# for others in itertools.combinations(remaining, r=6):
-# honeycombs.append(Honeycomb(mandatory=mand, letters=frozenset(others) | frozenset(mand)))
-
-# print(len(honeycombs))
-
-# +
-# honeycombs = []
-
-# candidate_letters = set(string.ascii_lowercase)
-# candidate_letters.remove('s')
-# candidate_letters = frozenset(candidate_letters)
-
-# for mand in candidate_letters:
-# remaining = candidate_letters - set(mand)
-# for others in itertools.combinations(remaining, r=6):
-# honeycombs.append(Honeycomb(mandatory=mand, letters=frozenset(others) | frozenset(mand)))
-
-# print(len(honeycombs))
-
-# +
-# [(h, score_honeycomb(h)) for h in honeycombs[:5]]
-
-# +
-# # %%timeit
-# max(honeycombs, key=score_honeycomb)
-# -
-
pangram_sets = [s for s in word_sets.keys() if len(s) == 7 if 's' not in s]
-len(pangram_sets)
+print("pangram sets:", len(pangram_sets))
-# +
-ps_honeycombs = []
-
-for ps in pangram_sets:
- for mand in ps:
- ps_honeycombs.append(Honeycomb(mandatory=mand, letters=ps))
-
-print(len(ps_honeycombs))
+with open('pangaram_words.txt', 'w') as f:
+ for s in pangram_sets:
+ for w in word_sets[s]:
+ f.write(f'{w}\n')
# +
-# # %%timeit
-# max(ps_honeycombs, key=score_honeycomb)
-
-# +
-## 1 a,e,g,i,n,r,t r 3898
-## 2 a,e,g,i,n,r,t n 3782
-## 3 a,e,g,i,n,r,t e 3769
-# -
-
-score_honeycomb(Honeycomb('r', frozenset('aeginrt')))
+# ps_honeycombs = []
-score_honeycomb(Honeycomb('n', frozenset('aeginrtn')))
+# for ps in pangram_sets:
+# for mand in ps:
+# ps_honeycombs.append(Honeycomb(mandatory=mand, letters=ps))
-score_honeycomb(Honeycomb('e', frozenset('aeginrte')))
+ps_honeycombs = [Honeycomb(mandatory=mand, letters=ps)
+ for ps in pangram_sets
+ for mand in ps]
+print(len(ps_honeycombs), "honeycombs")
+# -
partitioned_scored_sets = {l: {s: scored_sets[s] for s in scored_sets if l in s}
for l in string.ascii_lowercase}
-len(partitioned_scored_sets)
def partitioned_score_honeycomb(honeycomb):
)
+# +
+# # # %%timeit
+best_honyecomb = max(ps_honeycombs, key=partitioned_score_honeycomb)
+print(best_honyecomb, partitioned_score_honeycomb(best_honyecomb))
+# -
+
# # %%timeit
-print(max(ps_honeycombs, key=partitioned_score_honeycomb))
+# best_honyecomb = max(ps_honeycombs, key=score_honeycomb)
+# print(best_honyecomb, partitioned_score_honeycomb(best_honyecomb))
# +
-# partitioned_score_honeycomb(Honeycomb('a', 'abc'))
+# cProfile.run('max(ps_honeycombs, key=score_honeycomb)')
-# +
-# max(len(partitioned_scored_sets[k]) for k in partitioned_scored_sets)
# +
-# len(scored_sets)
+# cProfile.run('max(ps_honeycombs, key=partitioned_score_honeycomb)')
# -
+
--- /dev/null
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "951180ec",
+ "metadata": {},
+ "source": [
+ "# Honeycomb letter puzzle\n",
+ "Solving the puzzle as posted on [FiveThirtyEight](https://fivethirtyeight.com/features/can-you-solve-the-vexing-vexillology/), also solved by [David Robinson](http://varianceexplained.org/r/honeycomb-puzzle/).\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "6f6fa3e7",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import string\n",
+ "import collections\n",
+ "from dataclasses import dataclass\n",
+ "import itertools\n",
+ "import ctypes\n",
+ "import cProfile"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "88f00e4c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "172820"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "with open('enable1.txt') as f:\n",
+ " words = [line.strip() for line in f]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "1e75fba2",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "words = set(w for w in words \n",
+ " if len(w) >= 4\n",
+ " if len(frozenset(w)) <= 7\n",
+ " if 's' not in w)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "e1f9b35e",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "21661"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "word_sets = collections.defaultdict(set)\n",
+ "for w in words:\n",
+ " letters = frozenset(w)\n",
+ " word_sets[letters].add(w)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "95dc0eed-c759-481e-8598-9b861e3def8f",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def encode(letters):\n",
+ " encoded = 0\n",
+ " for l in string.ascii_lowercase:\n",
+ " encoded <<= 1\n",
+ " if l in letters:\n",
+ " encoded |= 1\n",
+ " return encoded"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "53d9ae67-a5b5-4d01-9e69-930acca023bc",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def decode(letter_bits):\n",
+ " letters = set()\n",
+ " for l in string.ascii_lowercase:\n",
+ " e = encode(l)\n",
+ " if (e & letter_bits):\n",
+ " letters.add(l)\n",
+ " return letters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "ab295a0a-6cb0-4f24-b57b-cb9f99517067",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def subset(this, that):\n",
+ " return this & that == this"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "267130ba",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@dataclass(frozen=True, init=False)\n",
+ "class Honeycomb():\n",
+ " mandatory: int\n",
+ " letters: int\n",
+ " \n",
+ " def __init__(self, mandatory, letters):\n",
+ " object.__setattr__(self, 'mandatory', encode(mandatory))\n",
+ " object.__setattr__(self, 'letters', encode(letters))\n",
+ " \n",
+ " def __repr__(self):\n",
+ " return f'{\"\".join(decode(self.mandatory))}|{\"\".join(sorted(decode(self.letters) - set(decode(self.mandatory))))}'"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "bb848e88",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def present(target, honeycomb):\n",
+ " return (subset(honeycomb.mandatory, target)\n",
+ " and subset(target, honeycomb.letters))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "id": "3c6f212e",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def score(present_set):\n",
+ " score = 0\n",
+ " for w in word_sets[present_set]:\n",
+ " if len(w) == 4:\n",
+ " score += 1\n",
+ " else:\n",
+ " score += len(w)\n",
+ " if len(present_set) == 7:\n",
+ " score += len(word_sets[present_set]) * 7\n",
+ " return score"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "id": "979d9ed5",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "scored_sets = {s: score(s) for s in word_sets}\n",
+ "encoded_scored_sets = {encode(s): scored_sets[s] for s in scored_sets}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "id": "78d423a5",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def raw_score_honeycomb(honeycomb):\n",
+ " return sum(sc for letters, sc in scored_sets.items() \n",
+ " # if honeycomb.mandatory in letters\n",
+ " # if letters.issubset(honeycomb.letters)\n",
+ " if present(letters, honeycomb)\n",
+ " )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "id": "eb0d2af1-437b-4be5-8736-0a18022e9de2",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def score_honeycomb(honeycomb):\n",
+ " return sum(sc for letters, sc in encoded_scored_sets.items() \n",
+ " # if honeycomb.mandatory in letters\n",
+ " # if letters.issubset(honeycomb.letters)\n",
+ " if present(letters, honeycomb)\n",
+ " )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "id": "febee1c1",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "pangram sets: 7986\n"
+ ]
+ }
+ ],
+ "source": [
+ "pangram_sets = [s for s in word_sets.keys() if len(s) == 7 if 's' not in s]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "id": "54a06bdf",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "with open('pangaram_words.txt', 'w') as f:\n",
+ " for s in pangram_sets:\n",
+ " for w in word_sets[s]:\n",
+ " f.write(f'{w}\\n')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 42,
+ "id": "c0b0807c",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "55902 honeycombs\n"
+ ]
+ }
+ ],
+ "source": [
+ "# ps_honeycombs = []\n",
+ "\n",
+ "# for ps in pangram_sets:\n",
+ "# for mand in ps:\n",
+ "# ps_honeycombs.append(Honeycomb(mandatory=mand, letters=ps))\n",
+ "\n",
+ "ps_honeycombs = [Honeycomb(mandatory=mand, letters=ps) \n",
+ " for ps in pangram_sets\n",
+ " for mand in ps]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 48,
+ "id": "914fece8",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "26"
+ ]
+ },
+ "execution_count": 48,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "partitioned_scored_sets = {encode(l): {s: encoded_scored_sets[s] \n",
+ " for s in encoded_scored_sets \n",
+ " if subset(encode(l), s)}\n",
+ " for l in string.ascii_lowercase}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 50,
+ "id": "f1454ccd",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def partitioned_score_honeycomb(honeycomb):\n",
+ " return sum(sc for letters, sc in partitioned_scored_sets[honeycomb.mandatory].items() \n",
+ " if subset(letters, honeycomb.letters)\n",
+ " )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 51,
+ "id": "7380dbd6",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "r|aegint 3898\n",
+ "r|aegint 3898\n"
+ ]
+ },
+ {
+ "ename": "KeyboardInterrupt",
+ "evalue": "",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m/tmp/ipykernel_1590851/2427168464.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mget_ipython\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun_cell_magic\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'timeit'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m''\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'best_honyecomb = max(ps_honeycombs, key=partitioned_score_honeycomb)\\nprint(best_honyecomb, partitioned_score_honeycomb(best_honyecomb))\\n'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+ "\u001b[0;32m~/anaconda3/lib/python3.8/site-packages/IPython/core/interactiveshell.py\u001b[0m in \u001b[0;36mrun_cell_magic\u001b[0;34m(self, magic_name, line, cell)\u001b[0m\n\u001b[1;32m 2401\u001b[0m \u001b[0;32mwith\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbuiltin_trap\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2402\u001b[0m \u001b[0margs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mmagic_arg_s\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcell\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2403\u001b[0;31m \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2404\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2405\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;32m~/anaconda3/lib/python3.8/site-packages/decorator.py\u001b[0m in \u001b[0;36mfun\u001b[0;34m(*args, **kw)\u001b[0m\n\u001b[1;32m 230\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mkwsyntax\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 231\u001b[0m \u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkw\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfix\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkw\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msig\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 232\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mcaller\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfunc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mextras\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0margs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 233\u001b[0m \u001b[0mfun\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__name__\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__name__\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 234\u001b[0m \u001b[0mfun\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__doc__\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__doc__\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;32m~/anaconda3/lib/python3.8/site-packages/IPython/core/magic.py\u001b[0m in \u001b[0;36m<lambda>\u001b[0;34m(f, *a, **k)\u001b[0m\n\u001b[1;32m 185\u001b[0m \u001b[0;31m# but it's overkill for just that one bit of state.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 186\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mmagic_deco\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0marg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 187\u001b[0;31m \u001b[0mcall\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mlambda\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 188\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 189\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mcallable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0marg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;32m~/anaconda3/lib/python3.8/site-packages/IPython/core/magics/execution.py\u001b[0m in \u001b[0;36mtimeit\u001b[0;34m(self, line, cell, local_ns)\u001b[0m\n\u001b[1;32m 1171\u001b[0m \u001b[0;32mbreak\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1172\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1173\u001b[0;31m \u001b[0mall_runs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtimer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrepeat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrepeat\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnumber\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1174\u001b[0m \u001b[0mbest\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mall_runs\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mnumber\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1175\u001b[0m \u001b[0mworst\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mall_runs\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mnumber\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;32m~/anaconda3/lib/python3.8/timeit.py\u001b[0m in \u001b[0;36mrepeat\u001b[0;34m(self, repeat, number)\u001b[0m\n\u001b[1;32m 203\u001b[0m \u001b[0mr\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 204\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrepeat\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 205\u001b[0;31m \u001b[0mt\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtimeit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnumber\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 206\u001b[0m \u001b[0mr\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 207\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mr\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;32m~/anaconda3/lib/python3.8/site-packages/IPython/core/magics/execution.py\u001b[0m in \u001b[0;36mtimeit\u001b[0;34m(self, number)\u001b[0m\n\u001b[1;32m 167\u001b[0m \u001b[0mgc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdisable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 168\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 169\u001b[0;31m \u001b[0mtiming\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minner\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mit\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtimer\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 170\u001b[0m \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 171\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mgcold\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;32m<magic-timeit>\u001b[0m in \u001b[0;36minner\u001b[0;34m(_it, _timer)\u001b[0m\n",
+ "\u001b[0;32m/tmp/ipykernel_1590851/3736129931.py\u001b[0m in \u001b[0;36mpartitioned_score_honeycomb\u001b[0;34m(honeycomb)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mpartitioned_score_honeycomb\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mhoneycomb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m return sum(sc for letters, sc in partitioned_scored_sets[honeycomb.mandatory].items() \n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0msubset\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mletters\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhoneycomb\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mletters\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m )\n",
+ "\u001b[0;32m/tmp/ipykernel_1590851/3736129931.py\u001b[0m in \u001b[0;36m<genexpr>\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mpartitioned_score_honeycomb\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mhoneycomb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m return sum(sc for letters, sc in partitioned_scored_sets[honeycomb.mandatory].items() \n\u001b[0;32m----> 3\u001b[0;31m \u001b[0;32mif\u001b[0m \u001b[0msubset\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mletters\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhoneycomb\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mletters\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m )\n",
+ "\u001b[0;32m/tmp/ipykernel_1590851/3073138769.py\u001b[0m in \u001b[0;36msubset\u001b[0;34m(this, that)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0msubset\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mthis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mthat\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mthis\u001b[0m \u001b[0;34m&\u001b[0m \u001b[0mthat\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mthis\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+ "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
+ ]
+ }
+ ],
+ "source": [
+ "# %%timeit\n",
+ "# best_honyecomb = max(ps_honeycombs, key=partitioned_score_honeycomb)\n",
+ "# print(best_honyecomb, partitioned_score_honeycomb(best_honyecomb))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "0ecd0647-11df-4b5b-a487-cb30cfa080c0",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# %%timeit\n",
+ "best_honyecomb = max(ps_honeycombs, key=score_honeycomb)\n",
+ "print(best_honyecomb, score_honeycomb(best_honyecomb))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "7e4173b4-26a9-4198-b572-d57db321fe94",
+ "metadata": {
+ "lines_to_next_cell": 2
+ },
+ "outputs": [],
+ "source": [
+ "# cProfile.run('max(ps_honeycombs, key=score_honeycomb)')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "9a9070b7-a866-499e-a910-82337ecbd052",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# cProfile.run('max(ps_honeycombs, key=partitioned_score_honeycomb)')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "a77ce9b1-d5d8-4c8f-8666-5840af23c265",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "jupytext": {
+ "formats": "ipynb,py:light"
+ },
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.8"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
--- /dev/null
+# ---
+# jupyter:
+# jupytext:
+# formats: ipynb,py:light
+# text_representation:
+# extension: .py
+# format_name: light
+# format_version: '1.5'
+# jupytext_version: 1.11.1
+# kernelspec:
+# display_name: Python 3 (ipykernel)
+# language: python
+# name: python3
+# ---
+
+# # Honeycomb letter puzzle
+# Solving the puzzle as posted on [FiveThirtyEight](https://fivethirtyeight.com/features/can-you-solve-the-vexing-vexillology/), also solved by [David Robinson](http://varianceexplained.org/r/honeycomb-puzzle/).
+#
+
+import string
+import collections
+from dataclasses import dataclass
+import itertools
+import ctypes
+import cProfile
+
+with open('enable1.txt') as f:
+ words = [line.strip() for line in f]
+
+words = set(w for w in words
+ if len(w) >= 4
+ if len(frozenset(w)) <= 7
+ if 's' not in w)
+
+word_sets = collections.defaultdict(set)
+for w in words:
+ letters = frozenset(w)
+ word_sets[letters].add(w)
+
+
+def encode(letters):
+ encoded = 0
+ for l in string.ascii_lowercase:
+ encoded <<= 1
+ if l in letters:
+ encoded |= 1
+ return encoded
+
+
+def decode(letter_bits):
+ letters = set()
+ for l in string.ascii_lowercase:
+ e = encode(l)
+ if (e & letter_bits):
+ letters.add(l)
+ return letters
+
+
+def subset(this, that):
+ return this & that == this
+
+
+@dataclass(frozen=True, init=False)
+class Honeycomb():
+ mandatory: int
+ letters: int
+
+ def __init__(self, mandatory, letters):
+ object.__setattr__(self, 'mandatory', encode(mandatory))
+ object.__setattr__(self, 'letters', encode(letters))
+
+ def __repr__(self):
+ return f'{"".join(decode(self.mandatory))}|{"".join(sorted(decode(self.letters) - set(decode(self.mandatory))))}'
+
+
+def present(target, honeycomb):
+ return (subset(honeycomb.mandatory, target)
+ and subset(target, honeycomb.letters))
+
+
+def score(present_set):
+ score = 0
+ for w in word_sets[present_set]:
+ if len(w) == 4:
+ score += 1
+ else:
+ score += len(w)
+ if len(present_set) == 7:
+ score += len(word_sets[present_set]) * 7
+ return score
+
+
+scored_sets = {s: score(s) for s in word_sets}
+encoded_scored_sets = {encode(s): scored_sets[s] for s in scored_sets}
+
+
+def raw_score_honeycomb(honeycomb):
+ return sum(sc for letters, sc in scored_sets.items()
+ # if honeycomb.mandatory in letters
+ # if letters.issubset(honeycomb.letters)
+ if present(letters, honeycomb)
+ )
+
+
+def score_honeycomb(honeycomb):
+ return sum(sc for letters, sc in encoded_scored_sets.items()
+ # if honeycomb.mandatory in letters
+ # if letters.issubset(honeycomb.letters)
+ if present(letters, honeycomb)
+ )
+
+
+pangram_sets = [s for s in word_sets.keys() if len(s) == 7 if 's' not in s]
+
+with open('pangaram_words.txt', 'w') as f:
+ for s in pangram_sets:
+ for w in word_sets[s]:
+ f.write(f'{w}\n')
+
+# +
+# ps_honeycombs = []
+
+# for ps in pangram_sets:
+# for mand in ps:
+# ps_honeycombs.append(Honeycomb(mandatory=mand, letters=ps))
+
+ps_honeycombs = [Honeycomb(mandatory=mand, letters=ps)
+ for ps in pangram_sets
+ for mand in ps]
+# -
+
+partitioned_scored_sets = {encode(l): {s: encoded_scored_sets[s]
+ for s in encoded_scored_sets
+ if subset(encode(l), s)}
+ for l in string.ascii_lowercase}
+
+
+def partitioned_score_honeycomb(honeycomb):
+ return sum(sc for letters, sc in partitioned_scored_sets[honeycomb.mandatory].items()
+ if subset(letters, honeycomb.letters)
+ )
+
+
+# +
+# # %%timeit
+best_honyecomb = max(ps_honeycombs, key=partitioned_score_honeycomb)
+print(best_honyecomb, partitioned_score_honeycomb(best_honyecomb))
+# -
+
+# # %%timeit
+# best_honyecomb = max(ps_honeycombs, key=score_honeycomb)
+# print(best_honyecomb, score_honeycomb(best_honyecomb))
+
+# +
+# cProfile.run('max(ps_honeycombs, key=score_honeycomb)')
+
+
+# +
+# cProfile.run('max(ps_honeycombs, key=partitioned_score_honeycomb)')
+# -
+
+
--- /dev/null
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projects / honeycomb-puzzle.git / commitdiff