aboutsummaryrefslogtreecommitdiff
path: root/2023
diff options
context:
space:
mode:
Diffstat (limited to '2023')
-rw-r--r--2023/22-Sand_Slabs/example7
-rw-r--r--2023/22-Sand_Slabs/first.hs109
-rw-r--r--2023/22-Sand_Slabs/input1280
3 files changed, 1396 insertions, 0 deletions
diff --git a/2023/22-Sand_Slabs/example b/2023/22-Sand_Slabs/example
new file mode 100644
index 0000000..43a7fc5
--- /dev/null
+++ b/2023/22-Sand_Slabs/example
@@ -0,0 +1,7 @@
+1,0,1~1,2,1
+0,0,2~2,0,2
+0,2,3~2,2,3
+0,0,4~0,2,4
+2,0,5~2,2,5
+0,1,6~2,1,6
+1,1,8~1,1,9
diff --git a/2023/22-Sand_Slabs/first.hs b/2023/22-Sand_Slabs/first.hs
new file mode 100644
index 0000000..91b4d49
--- /dev/null
+++ b/2023/22-Sand_Slabs/first.hs
@@ -0,0 +1,109 @@
+-- requires cabal install --lib megaparsec parser-combinators heap vector
+module Main (main) where
+
+import Control.Applicative.Permutations
+import Control.Monad (void, when)
+import qualified Data.Char as C
+import Data.Either
+import Data.Functor
+import qualified Data.Heap as H
+import qualified Data.List as L
+import qualified Data.Map as M
+import Data.Maybe
+import qualified Data.Set as S
+import qualified Data.Vector as V
+import qualified Data.Vector.Unboxed as VU
+import Data.Void (Void)
+import Text.Megaparsec
+import Text.Megaparsec.Char
+
+import Debug.Trace
+
+exampleExpectedOutput = 5
+
+type Coord = (Int, Int, Int)
+data Brick = Brick Coord Coord deriving (Eq, Show)
+instance Ord Brick where
+ (Brick (_, _, z1) (_, _, z2)) `compare` (Brick (_, _, c1) (_, _, c2)) = min z1 z2 `compare` min c1 c2
+type Input = [Brick]
+
+type Parser = Parsec Void String
+
+parseNumber :: Parser Int
+parseNumber = read <$> some digitChar <* optional (char ',')
+
+parseCoord :: Parser Coord
+parseCoord = (,,) <$> parseNumber
+ <*> parseNumber
+ <*> parseNumber
+
+parseBrick :: Parser Brick
+parseBrick = Brick <$> parseCoord <* char '~'
+ <*> parseCoord <* eol
+
+parseInput' :: Parser Input
+parseInput' = some parseBrick <* eof
+
+parseInput :: String -> IO Input
+parseInput filename = do
+ input <- readFile filename
+ case runParser parseInput' filename input of
+ Left bundle -> error $ errorBundlePretty bundle
+ Right input' -> return input'
+
+type Height = (Int, Maybe Int) -- (Height, BrickId that achieved that height - 1)
+type HeightMap = V.Vector (V.Vector Height)
+type SupportMap = M.Map Int [Int] -- BrickId -> [supports brickIds]
+
+compute :: Input -> Int
+compute input = L.length $ L.filter (not . isSupportBrick) [0..(length input - 1)]
+ where
+ isSupportBrick :: Int -> Bool
+ isSupportBrick brickId = L.any isSoleSupport $ M.elems supportMap
+ where
+ isSoleSupport :: [Int] -> Bool
+ isSoleSupport [l] = brickId == l
+ isSoleSupport _ = False
+ (_, settledInput, heightMap, supportMap) = L.foldl' settle (0, [], startingHeightMap, M.empty) startingInput
+ where
+ settle :: (Int, Input, HeightMap, SupportMap) -> Brick -> (Int, Input, HeightMap, SupportMap)
+ settle (brickId, acc, hm, sm) (Brick (x1, y1, z1) (x2, y2, z2)) = (brickId+1, (Brick (a1, b1, height) (a2, b2, height-c1+c2)):acc, hm', sm')
+ where
+ (a1, a2, b1, b2, c1, c2) = (min x1 x2, max x1 x2, min y1 y2, max y1 y2, min z1 z2, max z1 z2)
+ (height, supports) = V.foldl' heightLine (0, []) (V.ifilter (\i _ -> i>= b1 && i <= b2) hm)
+ where
+ heightLine :: (Int, [Int]) -> V.Vector Height -> (Int, [Int]) -- height, [support]
+ heightLine acc line = V.foldl' heightElt acc (V.ifilter (\i _ -> i >= a1 && i <= a2) line)
+ where
+ heightElt :: (Int, [Int]) -> Height -> (Int, [Int])
+ heightElt a@(hacc, _) (1, Nothing) | hacc > 1 = a
+ | otherwise = (1, [])
+ heightElt a@(hacc, sacc) (h, Just p) | hacc == h = (hacc, if elem p sacc then sacc else p:sacc)
+ | hacc > h = a
+ | otherwise = (h, [p])
+ hm' = V.imap updateLine hm
+ where
+ updateLine :: Int -> V.Vector Height -> V.Vector Height
+ updateLine y line | y < b1 || y > b2 = line
+ | otherwise = V.imap updateElt line
+ where
+ updateElt :: Int -> Height -> Height
+ updateElt x z | x < a1 || x > a2 = z
+ | otherwise = (height+c2-c1+1, Just brickId)
+ sm' = M.insert brickId supports sm
+ startingHeightMap = V.replicate (ymax+1) (V.replicate (xmax+1) (1, Nothing))
+ where
+ (xmax, ymax) = L.foldl' findBounds (xs, ys) input -- xmin and ymin are 0 for both example and input
+ where
+ Brick (xs, ys, _) _ = head input
+ findBounds :: (Int, Int) -> Brick -> (Int, Int)
+ findBounds (a, b) (Brick (x1, y1, _) (x2, y2, _)) = (maximum [a, x1, x2], maximum [b, y1, y2])
+ startingInput = L.sort input
+
+main :: IO ()
+main = do
+ example <- parseInput "example"
+ let exampleOutput = compute example
+ when (exampleOutput /= exampleExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show exampleExpectedOutput)
+ input <- parseInput "input"
+ print $ compute input
diff --git a/2023/22-Sand_Slabs/input b/2023/22-Sand_Slabs/input
new file mode 100644
index 0000000..30e822f
--- /dev/null
+++ b/2023/22-Sand_Slabs/input
@@ -0,0 +1,1280 @@
+7,0,231~7,2,231
+3,8,44~4,8,44
+4,2,331~4,4,331
+4,3,236~4,4,236
+4,6,155~4,8,155
+7,5,141~7,7,141
+7,7,72~7,9,72
+4,8,190~6,8,190
+6,2,107~8,2,107
+0,4,122~0,5,122
+6,1,177~6,3,177
+5,5,247~5,8,247
+0,1,184~3,1,184
+5,3,306~5,4,306
+1,2,13~3,2,13
+0,7,198~2,7,198
+5,7,333~8,7,333
+5,6,281~5,6,282
+3,6,8~5,6,8
+2,2,277~2,3,277
+2,4,229~3,4,229
+1,3,121~2,3,121
+5,4,317~7,4,317
+4,4,103~5,4,103
+3,6,200~3,8,200
+3,2,248~3,2,250
+3,4,162~3,7,162
+6,7,169~6,9,169
+0,9,148~1,9,148
+6,0,190~7,0,190
+6,3,247~6,5,247
+0,0,289~0,1,289
+0,2,228~3,2,228
+8,8,230~8,8,233
+2,4,221~2,6,221
+4,0,215~4,0,217
+3,4,250~6,4,250
+9,3,205~9,3,205
+1,2,227~1,4,227
+1,5,322~4,5,322
+7,4,18~7,5,18
+7,9,220~8,9,220
+0,9,326~1,9,326
+9,6,90~9,8,90
+0,1,62~0,3,62
+4,6,264~6,6,264
+5,0,100~7,0,100
+4,0,212~7,0,212
+2,5,289~2,7,289
+8,6,67~9,6,67
+7,5,20~7,5,22
+6,4,27~7,4,27
+0,3,225~0,4,225
+3,2,161~5,2,161
+4,8,269~5,8,269
+3,9,115~4,9,115
+6,7,222~6,7,224
+8,1,78~8,1,80
+9,3,301~9,5,301
+4,6,35~6,6,35
+0,6,14~0,8,14
+3,6,9~3,7,9
+6,6,99~8,6,99
+2,1,150~2,4,150
+5,5,248~5,7,248
+3,4,110~6,4,110
+5,6,65~5,8,65
+8,6,46~8,8,46
+6,7,168~8,7,168
+0,4,23~1,4,23
+9,3,14~9,5,14
+4,2,30~4,2,32
+7,1,244~7,2,244
+2,5,179~2,8,179
+0,2,44~0,3,44
+6,2,7~6,5,7
+3,8,39~5,8,39
+3,7,117~5,7,117
+2,7,196~5,7,196
+2,4,84~2,7,84
+4,2,150~4,5,150
+1,3,8~2,3,8
+7,7,136~7,8,136
+3,3,238~6,3,238
+3,1,25~5,1,25
+6,5,9~6,5,11
+0,9,109~2,9,109
+3,7,44~3,7,46
+5,7,37~5,9,37
+5,1,132~5,4,132
+6,8,100~7,8,100
+3,0,186~5,0,186
+2,3,305~2,5,305
+1,6,81~1,8,81
+1,0,325~3,0,325
+0,7,145~0,9,145
+3,5,135~4,5,135
+4,0,24~4,2,24
+0,0,188~0,0,190
+7,6,170~7,8,170
+5,1,186~7,1,186
+1,2,11~4,2,11
+5,1,271~8,1,271
+1,3,171~3,3,171
+2,0,187~2,3,187
+1,0,71~4,0,71
+1,7,295~1,8,295
+9,2,74~9,3,74
+3,7,233~3,9,233
+4,8,118~7,8,118
+2,7,24~2,9,24
+9,1,68~9,2,68
+2,9,144~3,9,144
+6,7,284~8,7,284
+6,9,95~6,9,96
+1,6,54~4,6,54
+8,2,204~8,3,204
+2,4,30~4,4,30
+2,2,42~3,2,42
+5,4,209~7,4,209
+8,6,24~8,8,24
+6,7,106~8,7,106
+6,7,181~6,9,181
+6,5,213~6,6,213
+5,1,75~5,2,75
+6,8,95~8,8,95
+6,4,230~7,4,230
+2,7,207~4,7,207
+2,0,100~3,0,100
+0,5,234~0,7,234
+0,7,226~0,7,228
+1,5,154~1,7,154
+1,3,297~1,5,297
+5,0,263~5,2,263
+9,7,288~9,8,288
+0,8,276~2,8,276
+1,3,47~3,3,47
+5,0,53~8,0,53
+5,4,264~7,4,264
+4,2,75~4,4,75
+3,0,312~3,3,312
+8,7,34~8,9,34
+7,0,101~9,0,101
+1,6,55~1,8,55
+0,7,205~1,7,205
+6,6,210~8,6,210
+1,9,272~3,9,272
+3,8,74~6,8,74
+4,8,286~6,8,286
+2,6,144~5,6,144
+7,5,23~7,5,24
+9,0,42~9,2,42
+3,5,131~5,5,131
+5,9,311~6,9,311
+0,7,207~0,7,207
+4,5,51~4,7,51
+9,6,40~9,8,40
+6,2,133~8,2,133
+9,4,233~9,4,233
+6,5,92~6,7,92
+0,4,326~3,4,326
+6,7,207~6,9,207
+6,4,166~6,7,166
+4,0,38~5,0,38
+5,3,252~7,3,252
+0,1,69~3,1,69
+5,1,69~7,1,69
+6,5,83~6,6,83
+8,8,218~8,9,218
+4,2,129~6,2,129
+7,0,233~7,2,233
+9,5,28~9,8,28
+1,7,232~4,7,232
+1,9,270~3,9,270
+6,7,220~6,7,221
+3,1,33~6,1,33
+5,6,102~7,6,102
+5,2,164~6,2,164
+9,4,110~9,6,110
+1,9,317~4,9,317
+8,0,109~8,3,109
+0,5,61~0,7,61
+1,4,225~1,6,225
+4,3,328~4,3,330
+1,8,280~3,8,280
+0,3,321~0,7,321
+2,8,72~3,8,72
+4,5,60~5,5,60
+4,3,195~4,5,195
+8,5,319~8,7,319
+4,4,149~5,4,149
+3,7,52~3,7,53
+7,5,67~9,5,67
+4,0,282~6,0,282
+6,6,192~6,7,192
+6,4,151~6,7,151
+3,2,106~6,2,106
+7,7,56~7,9,56
+7,2,1~7,4,1
+4,2,325~4,5,325
+0,3,51~2,3,51
+6,1,131~6,3,131
+8,0,241~8,3,241
+3,4,245~6,4,245
+6,7,286~9,7,286
+4,2,159~4,4,159
+3,5,299~3,7,299
+6,4,171~6,6,171
+7,0,238~9,0,238
+3,5,254~3,7,254
+6,3,86~6,5,86
+2,5,201~2,8,201
+1,8,274~2,8,274
+7,3,100~7,4,100
+4,8,192~5,8,192
+5,3,207~7,3,207
+7,4,316~8,4,316
+0,6,52~0,7,52
+7,7,101~9,7,101
+6,0,254~8,0,254
+2,6,245~6,6,245
+1,4,139~3,4,139
+9,3,305~9,4,305
+3,6,108~5,6,108
+1,6,249~1,6,250
+1,9,275~2,9,275
+0,4,292~0,6,292
+5,2,109~6,2,109
+3,7,256~3,7,259
+4,5,59~4,7,59
+1,5,27~1,8,27
+3,2,53~5,2,53
+5,9,26~7,9,26
+3,3,180~3,5,180
+6,3,24~6,5,24
+6,6,283~6,8,283
+9,1,289~9,3,289
+2,4,56~2,4,58
+6,4,97~9,4,97
+2,4,206~2,6,206
+4,9,277~5,9,277
+1,0,227~2,0,227
+6,6,121~6,8,121
+4,6,136~5,6,136
+3,1,55~6,1,55
+7,3,295~9,3,295
+5,6,122~5,9,122
+3,7,239~3,8,239
+1,5,235~1,7,235
+7,4,214~7,6,214
+5,6,21~7,6,21
+6,1,99~6,1,102
+7,2,323~8,2,323
+5,4,252~7,4,252
+0,7,25~2,7,25
+3,0,278~4,0,278
+2,6,91~2,9,91
+5,2,133~5,3,133
+4,3,152~6,3,152
+2,5,232~4,5,232
+3,1,181~3,4,181
+1,1,152~1,2,152
+4,4,251~6,4,251
+3,4,324~4,4,324
+5,3,60~5,3,60
+4,7,189~5,7,189
+5,2,36~7,2,36
+3,6,315~3,9,315
+6,8,104~6,8,106
+8,1,110~9,1,110
+2,8,42~2,9,42
+5,9,34~7,9,34
+7,0,288~7,3,288
+8,8,37~9,8,37
+5,7,90~5,9,90
+6,4,307~6,7,307
+9,5,233~9,8,233
+0,2,293~0,2,294
+9,2,45~9,2,45
+5,5,15~7,5,15
+1,2,41~3,2,41
+5,0,166~5,3,166
+6,5,105~6,7,105
+5,3,173~8,3,173
+4,6,115~4,8,115
+1,1,237~1,4,237
+6,5,194~9,5,194
+0,7,107~0,8,107
+5,1,142~6,1,142
+4,4,254~4,6,254
+4,6,134~6,6,134
+5,4,259~5,4,261
+4,3,297~4,4,297
+9,3,65~9,5,65
+1,3,52~2,3,52
+3,5,2~3,7,2
+7,2,270~7,4,270
+5,4,323~5,7,323
+3,1,150~3,2,150
+7,0,56~7,2,56
+9,0,35~9,3,35
+2,3,181~2,3,184
+2,7,185~5,7,185
+7,7,123~8,7,123
+8,4,294~8,7,294
+0,0,222~2,0,222
+4,0,254~5,0,254
+7,2,228~7,4,228
+5,1,260~5,2,260
+1,3,329~3,3,329
+9,5,153~9,7,153
+6,7,194~8,7,194
+4,4,32~4,6,32
+6,9,42~8,9,42
+1,7,294~1,8,294
+0,7,210~0,7,211
+8,8,49~8,9,49
+6,0,97~6,1,97
+0,6,140~1,6,140
+0,7,204~3,7,204
+7,9,227~9,9,227
+3,2,242~3,2,243
+5,0,193~7,0,193
+0,5,47~0,5,50
+7,9,136~9,9,136
+0,4,293~0,4,297
+9,5,303~9,6,303
+7,4,146~7,5,146
+5,2,335~7,2,335
+1,9,322~4,9,322
+7,7,75~7,9,75
+9,9,140~9,9,141
+1,3,120~3,3,120
+4,1,324~4,2,324
+8,7,297~8,9,297
+2,6,279~4,6,279
+1,4,312~1,6,312
+5,1,52~5,3,52
+6,5,62~9,5,62
+3,6,271~3,8,271
+1,2,184~4,2,184
+2,7,62~5,7,62
+2,2,130~3,2,130
+3,0,98~6,0,98
+3,7,236~4,7,236
+6,3,15~9,3,15
+6,1,268~7,1,268
+9,3,298~9,5,298
+3,4,230~3,6,230
+7,3,182~7,7,182
+9,3,308~9,6,308
+7,9,37~7,9,39
+4,5,193~4,7,193
+2,3,327~2,4,327
+2,8,94~4,8,94
+7,1,269~9,1,269
+4,5,246~4,5,250
+1,5,208~1,6,208
+4,1,74~6,1,74
+0,2,9~3,2,9
+0,4,56~0,6,56
+3,9,294~5,9,294
+7,0,52~9,0,52
+5,6,289~5,6,290
+0,3,13~0,4,13
+5,1,169~7,1,169
+3,5,59~3,8,59
+1,4,248~1,7,248
+0,4,88~2,4,88
+3,1,235~3,4,235
+0,3,28~0,6,28
+2,9,7~3,9,7
+1,8,211~1,9,211
+1,5,296~3,5,296
+1,8,221~2,8,221
+0,8,49~0,8,52
+7,0,6~7,3,6
+2,5,31~4,5,31
+6,5,260~6,6,260
+4,4,285~7,4,285
+6,4,313~8,4,313
+3,3,149~3,6,149
+2,6,272~4,6,272
+7,1,182~9,1,182
+6,4,215~9,4,215
+7,1,181~7,1,181
+3,6,92~3,6,92
+3,7,263~6,7,263
+0,0,38~1,0,38
+0,4,226~0,4,228
+7,1,234~7,1,234
+5,8,18~8,8,18
+9,4,232~9,5,232
+6,3,288~6,6,288
+6,3,325~7,3,325
+4,2,122~4,3,122
+4,1,102~4,4,102
+4,1,105~5,1,105
+6,8,3~6,9,3
+3,1,155~6,1,155
+2,3,118~2,5,118
+5,5,209~8,5,209
+6,1,229~6,3,229
+2,4,122~4,4,122
+2,8,111~2,9,111
+3,5,126~3,7,126
+7,9,36~9,9,36
+7,0,210~9,0,210
+3,2,241~5,2,241
+1,7,56~1,9,56
+1,7,60~1,9,60
+4,2,120~4,4,120
+2,7,177~4,7,177
+1,2,232~2,2,232
+2,0,38~2,2,38
+5,9,4~7,9,4
+6,5,265~6,7,265
+2,8,5~4,8,5
+0,0,9~2,0,9
+3,7,42~3,9,42
+7,1,241~7,2,241
+4,7,216~7,7,216
+2,8,311~5,8,311
+2,1,9~3,1,9
+8,4,15~9,4,15
+5,3,94~5,3,97
+1,0,77~3,0,77
+1,9,202~5,9,202
+3,6,313~3,9,313
+2,8,45~4,8,45
+3,4,322~5,4,322
+1,3,182~1,5,182
+6,3,201~9,3,201
+2,5,291~2,5,292
+5,7,91~5,8,91
+3,0,318~5,0,318
+3,1,245~3,3,245
+3,7,30~3,9,30
+3,4,65~3,4,67
+3,8,20~6,8,20
+6,3,226~9,3,226
+4,0,276~4,2,276
+7,9,205~9,9,205
+7,8,43~9,8,43
+3,8,157~3,8,160
+6,6,320~9,6,320
+0,7,82~0,7,82
+3,6,57~5,6,57
+1,7,79~4,7,79
+6,2,206~6,4,206
+2,0,14~2,0,17
+5,1,26~7,1,26
+8,4,318~8,5,318
+8,5,176~8,6,176
+5,5,328~7,5,328
+0,0,315~3,0,315
+6,7,23~6,9,23
+7,1,294~7,3,294
+6,1,92~6,3,92
+9,1,213~9,4,213
+1,0,150~1,2,150
+3,2,68~6,2,68
+6,5,205~6,8,205
+0,6,241~2,6,241
+2,5,211~4,5,211
+2,7,27~2,8,27
+4,9,94~7,9,94
+2,6,290~4,6,290
+4,3,206~4,3,208
+5,2,67~8,2,67
+3,7,159~5,7,159
+4,6,295~6,6,295
+0,8,22~0,8,24
+4,1,307~6,1,307
+7,8,89~9,8,89
+1,7,182~2,7,182
+2,9,43~3,9,43
+2,1,280~2,4,280
+3,8,148~5,8,148
+0,6,9~2,6,9
+9,4,211~9,4,211
+0,7,237~0,9,237
+3,5,106~3,6,106
+3,1,129~5,1,129
+6,1,323~6,3,323
+1,4,17~1,7,17
+5,5,329~5,6,329
+2,7,147~2,9,147
+9,7,105~9,8,105
+5,7,328~5,7,329
+6,2,54~7,2,54
+4,6,275~7,6,275
+8,3,286~9,3,286
+5,0,304~5,3,304
+4,2,186~6,2,186
+0,7,44~0,8,44
+9,4,16~9,7,16
+0,2,148~3,2,148
+8,3,20~8,5,20
+2,0,221~2,3,221
+0,0,297~0,2,297
+0,5,119~2,5,119
+1,3,228~1,5,228
+2,5,105~2,7,105
+6,6,106~8,6,106
+3,2,45~3,3,45
+5,6,84~5,8,84
+6,4,319~8,4,319
+6,0,147~8,0,147
+1,0,41~1,1,41
+7,7,289~7,9,289
+3,7,219~5,7,219
+7,7,173~9,7,173
+7,5,205~9,5,205
+3,5,10~3,7,10
+5,4,326~5,7,326
+5,2,58~5,4,58
+7,5,199~7,8,199
+3,0,27~5,0,27
+1,3,142~1,6,142
+1,2,299~1,3,299
+5,6,88~5,8,88
+5,2,332~5,5,332
+7,9,215~8,9,215
+2,0,224~5,0,224
+2,3,74~2,5,74
+0,2,108~2,2,108
+1,8,271~2,8,271
+4,1,71~4,3,71
+7,3,151~8,3,151
+2,5,57~2,6,57
+5,5,145~5,8,145
+7,6,209~8,6,209
+4,3,49~7,3,49
+0,1,174~2,1,174
+1,2,320~3,2,320
+0,4,287~2,4,287
+1,2,46~4,2,46
+1,7,289~1,9,289
+8,6,228~8,8,228
+1,3,239~1,4,239
+6,6,137~6,8,137
+4,0,105~6,0,105
+7,0,36~7,0,39
+4,5,321~4,7,321
+0,9,141~2,9,141
+2,4,147~5,4,147
+2,2,3~2,4,3
+5,2,29~5,2,30
+0,5,223~0,7,223
+6,6,93~6,8,93
+0,4,54~3,4,54
+8,3,143~8,3,143
+7,5,84~8,5,84
+7,7,3~7,9,3
+3,5,174~3,5,177
+3,8,21~5,8,21
+1,6,15~1,8,15
+2,3,82~2,6,82
+8,6,288~8,8,288
+2,2,289~2,2,289
+9,0,209~9,2,209
+3,0,324~6,0,324
+8,0,58~9,0,58
+9,1,16~9,3,16
+7,3,197~7,6,197
+6,9,82~8,9,82
+2,3,185~3,3,185
+6,1,153~6,3,153
+8,2,229~8,4,229
+0,2,327~2,2,327
+5,3,91~8,3,91
+3,4,74~5,4,74
+4,8,259~7,8,259
+4,0,168~7,0,168
+4,4,117~4,6,117
+2,3,169~5,3,169
+3,0,314~5,0,314
+9,7,156~9,8,156
+9,6,92~9,6,93
+0,2,224~0,4,224
+6,3,102~7,3,102
+4,8,147~6,8,147
+8,4,125~8,7,125
+4,0,21~4,2,21
+9,1,302~9,3,302
+3,2,282~4,2,282
+7,3,59~7,5,59
+5,6,19~5,8,19
+7,7,137~8,7,137
+1,0,45~2,0,45
+5,7,104~9,7,104
+2,5,235~2,7,235
+2,0,6~2,2,6
+6,4,185~7,4,185
+4,2,60~6,2,60
+2,8,212~5,8,212
+1,9,203~2,9,203
+7,4,283~9,4,283
+6,4,126~8,4,126
+5,7,22~7,7,22
+3,3,204~6,3,204
+6,5,291~9,5,291
+0,7,143~0,9,143
+4,6,234~4,6,236
+6,6,190~8,6,190
+1,0,21~2,0,21
+1,0,74~3,0,74
+3,1,151~3,1,154
+2,2,105~4,2,105
+6,6,48~8,6,48
+8,4,141~8,4,143
+2,6,10~2,8,10
+0,9,31~3,9,31
+3,7,73~5,7,73
+0,3,31~0,6,31
+4,5,270~6,5,270
+1,7,266~3,7,266
+6,1,31~8,1,31
+7,8,84~7,8,87
+7,1,104~7,3,104
+0,8,142~0,9,142
+6,4,310~8,4,310
+4,0,285~7,0,285
+7,7,129~7,7,132
+0,9,284~1,9,284
+7,4,322~8,4,322
+2,4,12~2,7,12
+3,5,3~5,5,3
+4,2,127~4,4,127
+7,9,216~9,9,216
+7,6,201~9,6,201
+5,5,179~8,5,179
+6,0,338~6,2,338
+2,6,7~5,6,7
+2,2,29~2,3,29
+5,1,36~7,1,36
+3,2,113~3,4,113
+0,4,229~0,4,232
+4,1,187~4,1,189
+9,0,75~9,2,75
+4,6,276~6,6,276
+7,4,150~7,5,150
+6,6,270~8,6,270
+5,5,121~6,5,121
+7,7,28~7,7,28
+5,0,60~8,0,60
+5,4,263~5,6,263
+2,8,234~4,8,234
+6,3,89~6,5,89
+8,6,222~9,6,222
+5,5,95~8,5,95
+9,0,243~9,0,244
+5,4,203~7,4,203
+2,7,267~2,9,267
+8,3,285~8,5,285
+0,7,273~0,9,273
+5,5,154~5,8,154
+4,9,280~6,9,280
+9,1,38~9,1,41
+6,0,180~6,1,180
+1,8,322~3,8,322
+2,2,152~2,3,152
+9,2,218~9,6,218
+1,9,5~1,9,6
+4,8,162~6,8,162
+0,5,271~0,8,271
+0,2,101~0,4,101
+6,7,97~6,8,97
+1,2,66~1,5,66
+3,7,49~6,7,49
+5,7,308~5,8,308
+7,3,37~9,3,37
+5,3,4~5,3,5
+1,3,180~1,5,180
+0,0,42~2,0,42
+3,1,309~3,4,309
+4,5,13~6,5,13
+7,6,77~7,6,79
+9,1,153~9,3,153
+2,2,162~4,2,162
+7,2,295~9,2,295
+6,6,261~6,7,261
+2,5,116~5,5,116
+7,1,28~7,2,28
+8,1,70~8,2,70
+4,4,125~4,5,125
+0,7,231~1,7,231
+5,6,269~8,6,269
+4,2,25~4,5,25
+2,9,234~4,9,234
+5,8,268~7,8,268
+3,4,323~3,7,323
+4,1,277~4,1,279
+1,3,310~1,5,310
+3,8,146~4,8,146
+8,7,212~8,9,212
+3,3,108~3,5,108
+3,7,249~6,7,249
+6,0,96~6,2,96
+8,6,55~8,8,55
+4,2,319~4,4,319
+8,4,64~8,6,64
+3,0,339~6,0,339
+2,5,14~2,8,14
+3,4,55~3,5,55
+8,1,231~8,3,231
+5,4,21~6,4,21
+0,0,40~0,3,40
+4,7,238~5,7,238
+9,0,241~9,1,241
+4,9,38~5,9,38
+5,7,252~5,7,256
+2,6,95~2,9,95
+2,6,187~2,8,187
+2,0,80~5,0,80
+5,1,135~7,1,135
+0,1,220~0,4,220
+3,0,104~5,0,104
+5,9,74~7,9,74
+8,7,227~8,8,227
+5,1,340~7,1,340
+6,7,52~6,8,52
+0,4,213~2,4,213
+2,1,310~2,4,310
+5,4,288~5,7,288
+8,1,177~8,2,177
+1,0,35~5,0,35
+9,5,63~9,8,63
+1,2,234~2,2,234
+0,9,204~1,9,204
+7,1,10~7,2,10
+3,5,91~3,8,91
+8,4,85~8,5,85
+0,3,83~0,6,83
+7,1,148~7,4,148
+3,8,96~3,8,98
+2,7,218~4,7,218
+1,4,135~1,6,135
+7,4,280~7,6,280
+2,6,223~3,6,223
+6,0,171~9,0,171
+3,1,325~3,4,325
+6,7,100~8,7,100
+6,1,56~6,3,56
+3,4,68~3,4,69
+8,1,257~8,4,257
+7,5,260~7,5,260
+7,0,51~7,3,51
+6,5,316~8,5,316
+4,4,296~6,4,296
+5,1,243~5,2,243
+1,2,230~3,2,230
+0,3,314~2,3,314
+9,2,79~9,4,79
+9,2,202~9,3,202
+0,4,298~0,6,298
+0,5,92~3,5,92
+7,6,172~7,8,172
+0,1,193~0,4,193
+9,4,302~9,7,302
+3,1,247~3,1,249
+6,3,11~7,3,11
+4,6,250~6,6,250
+3,5,222~6,5,222
+4,2,231~6,2,231
+4,4,114~4,7,114
+0,6,11~1,6,11
+1,7,90~1,8,90
+1,3,155~1,4,155
+1,4,89~3,4,89
+1,1,27~3,1,27
+3,1,58~5,1,58
+6,3,8~6,4,8
+6,5,255~6,8,255
+3,6,292~3,9,292
+1,5,294~2,5,294
+0,2,48~2,2,48
+3,9,204~5,9,204
+1,9,283~4,9,283
+0,9,33~0,9,35
+8,3,218~8,6,218
+1,2,186~1,4,186
+5,0,65~7,0,65
+2,5,142~2,6,142
+7,9,137~9,9,137
+5,6,175~8,6,175
+6,7,258~6,9,258
+4,0,146~6,0,146
+7,6,236~8,6,236
+8,0,11~8,0,13
+5,7,258~5,8,258
+0,4,277~3,4,277
+2,7,222~4,7,222
+1,3,317~3,3,317
+0,8,41~3,8,41
+5,4,254~7,4,254
+9,1,216~9,1,218
+2,3,5~2,6,5
+7,9,290~7,9,292
+7,6,291~9,6,291
+6,7,219~6,9,219
+4,4,162~4,6,162
+4,6,161~4,9,161
+0,8,21~2,8,21
+5,3,223~6,3,223
+2,3,38~2,5,38
+3,3,220~6,3,220
+1,5,19~1,8,19
+0,3,176~1,3,176
+2,1,159~4,1,159
+6,2,238~9,2,238
+3,5,153~5,5,153
+0,4,20~2,4,20
+5,6,279~7,6,279
+3,6,69~3,8,69
+0,7,320~4,7,320
+9,0,240~9,2,240
+2,9,27~5,9,27
+4,7,70~8,7,70
+0,0,113~0,2,113
+1,5,132~1,7,132
+6,5,18~6,6,18
+4,3,33~4,5,33
+6,7,310~6,9,310
+7,4,206~7,7,206
+2,9,5~4,9,5
+4,4,317~4,6,317
+0,8,296~1,8,296
+0,0,114~0,2,114
+4,1,47~4,3,47
+0,1,292~0,2,292
+1,7,221~4,7,221
+1,5,129~3,5,129
+1,8,93~3,8,93
+2,4,212~6,4,212
+4,4,194~4,5,194
+2,3,249~2,5,249
+4,3,250~6,3,250
+1,7,200~1,9,200
+9,2,76~9,4,76
+4,0,30~4,1,30
+6,9,83~6,9,85
+6,7,266~6,7,269
+2,5,209~3,5,209
+5,6,166~5,8,166
+2,8,189~4,8,189
+7,6,294~7,7,294
+0,3,179~3,3,179
+7,0,102~9,0,102
+7,1,76~9,1,76
+5,7,221~5,7,223
+2,5,304~2,8,304
+7,4,202~9,4,202
+7,1,138~7,3,138
+6,7,83~9,7,83
+3,7,250~4,7,250
+6,9,261~7,9,261
+1,2,153~1,5,153
+3,2,62~3,5,62
+0,4,215~0,4,217
+2,7,107~2,9,107
+8,3,256~8,4,256
+3,6,155~3,8,155
+2,2,237~5,2,237
+3,7,72~6,7,72
+0,9,287~2,9,287
+6,9,103~8,9,103
+4,2,273~4,5,273
+3,1,28~3,2,28
+0,4,290~0,5,290
+4,3,3~7,3,3
+2,1,224~3,1,224
+0,1,324~0,4,324
+6,5,252~6,7,252
+7,8,306~9,8,306
+8,5,86~8,7,86
+1,5,205~4,5,205
+1,3,63~3,3,63
+4,9,295~6,9,295
+6,1,34~6,3,34
+9,0,307~9,2,307
+7,3,269~7,5,269
+7,1,170~7,1,172
+6,4,299~7,4,299
+7,9,30~9,9,30
+3,4,171~3,6,171
+9,5,108~9,8,108
+0,2,314~2,2,314
+5,5,22~6,5,22
+9,2,229~9,4,229
+6,3,315~8,3,315
+7,2,174~7,4,174
+4,5,220~4,8,220
+0,2,46~0,5,46
+0,7,106~2,7,106
+4,2,279~7,2,279
+6,9,171~7,9,171
+0,5,78~3,5,78
+2,7,302~4,7,302
+3,6,152~5,6,152
+7,4,221~9,4,221
+8,3,234~8,6,234
+0,1,190~2,1,190
+3,7,67~5,7,67
+4,2,2~4,3,2
+2,8,144~4,8,144
+0,6,204~3,6,204
+9,5,70~9,5,74
+8,4,230~8,4,230
+5,1,138~5,1,140
+9,2,66~9,4,66
+4,4,198~4,4,201
+4,2,181~6,2,181
+9,2,13~9,5,13
+2,3,274~2,5,274
+3,6,175~3,8,175
+6,2,93~8,2,93
+4,7,280~6,7,280
+3,5,316~3,6,316
+9,2,221~9,2,223
+7,1,305~9,1,305
+3,6,95~4,6,95
+3,6,231~4,6,231
+6,4,186~8,4,186
+0,1,42~0,3,42
+2,6,139~2,9,139
+0,4,51~2,4,51
+9,2,242~9,2,243
+6,5,31~9,5,31
+3,9,92~7,9,92
+1,3,141~3,3,141
+8,6,220~8,7,220
+6,2,175~8,2,175
+4,7,186~5,7,186
+6,7,193~9,7,193
+2,1,313~2,4,313
+7,9,95~9,9,95
+7,5,213~7,7,213
+3,5,301~4,5,301
+7,7,133~7,9,133
+6,4,258~6,4,261
+0,7,110~0,9,110
+9,5,152~9,7,152
+7,5,103~9,5,103
+3,3,98~5,3,98
+6,6,223~8,6,223
+2,0,37~2,3,37
+5,2,324~6,2,324
+5,9,32~8,9,32
+9,1,71~9,3,71
+4,5,27~4,6,27
+5,0,183~5,2,183
+6,6,96~7,6,96
+0,6,138~2,6,138
+3,6,178~5,6,178
+6,8,48~8,8,48
+7,2,100~9,2,100
+2,7,220~2,8,220
+3,1,37~6,1,37
+2,6,128~4,6,128
+0,2,30~0,4,30
+6,7,128~8,7,128
+8,4,2~8,6,2
+3,0,323~3,2,323
+0,2,59~0,4,59
+0,3,49~0,4,49
+3,4,151~4,4,151
+3,1,186~4,1,186
+3,1,158~5,1,158
+4,4,16~4,6,16
+5,6,148~7,6,148
+2,3,247~2,5,247
+2,7,210~2,9,210
+0,1,110~0,3,110
+0,2,1~0,4,1
+5,5,16~5,8,16
+2,2,286~2,5,286
+5,6,267~5,8,267
+4,2,239~4,4,239
+5,0,286~5,0,288
+5,5,93~8,5,93
+5,2,235~5,4,235
+1,9,207~1,9,208
+3,0,60~3,1,60
+7,1,49~9,1,49
+4,5,192~7,5,192
+3,4,314~6,4,314
+0,8,17~2,8,17
+8,6,239~8,7,239
+6,4,255~8,4,255
+0,9,2~2,9,2
+4,1,274~4,3,274
+3,7,4~3,9,4
+2,1,217~2,3,217
+3,7,165~6,7,165
+4,5,267~6,5,267
+6,2,179~6,3,179
+2,0,167~2,2,167
+5,0,341~7,0,341
+5,1,66~7,1,66
+3,6,194~4,6,194
+1,0,302~1,2,302
+3,7,319~3,9,319
+5,3,134~7,3,134
+2,8,142~3,8,142
+6,0,38~6,1,38
+3,7,197~5,7,197
+4,2,243~4,5,243
+8,0,56~8,2,56
+1,7,92~3,7,92
+3,3,51~5,3,51
+6,3,290~6,3,291
+2,4,72~4,4,72
+1,6,222~3,6,222
+5,9,28~7,9,28
+7,0,177~7,2,177
+4,6,188~7,6,188
+6,9,79~8,9,79
+2,5,55~2,6,55
+7,6,151~9,6,151
+5,2,37~5,2,40
+2,3,86~2,6,86
+3,6,22~5,6,22
+0,0,11~2,0,11
+0,1,43~0,2,43
+0,1,223~0,1,223
+7,8,21~8,8,21
+9,6,5~9,8,5
+2,5,103~5,5,103
+6,0,62~8,0,62
+5,2,62~5,3,62
+7,9,207~9,9,207
+3,4,169~6,4,169
+0,4,26~0,6,26
+1,7,326~3,7,326
+4,1,185~6,1,185
+7,0,34~7,2,34
+1,8,324~1,8,326
+6,4,19~8,4,19
+5,6,119~5,8,119
+0,1,188~0,4,188
+6,7,54~8,7,54
+6,7,101~6,9,101
+6,2,291~8,2,291
+3,7,275~3,9,275
+4,5,120~6,5,120
+3,2,206~3,4,206
+2,4,243~2,7,243
+4,2,100~4,5,100
+5,5,225~7,5,225
+2,9,274~5,9,274
+8,1,272~8,1,273
+4,8,48~4,9,48
+2,7,318~3,7,318
+8,1,81~9,1,81
+3,7,210~6,7,210
+2,0,170~2,0,170
+0,0,285~0,2,285
+4,8,260~6,8,260
+1,2,165~3,2,165
+3,4,233~5,4,233
+2,4,226~2,6,226
+5,0,187~8,0,187
+6,2,134~9,2,134
+0,3,81~0,5,81
+3,7,116~4,7,116
+5,5,220~5,7,220
+6,6,120~6,9,120
+2,7,186~2,9,186
+8,7,71~8,9,71
+9,0,32~9,3,32
+1,1,195~1,1,197
+3,5,76~3,8,76
+0,0,287~0,2,287
+8,4,138~8,7,138
+4,7,120~4,8,120
+7,2,236~9,2,236
+7,1,39~7,3,39
+7,0,8~8,0,8
+4,3,217~4,7,217
+5,9,78~7,9,78
+7,6,219~7,8,219
+8,6,89~8,6,92
+1,0,68~1,3,68
+8,2,111~9,2,111
+1,9,324~3,9,324
+6,6,183~6,6,185
+7,6,140~7,8,140
+8,7,242~9,7,242
+3,5,202~7,5,202
+0,0,187~0,3,187
+4,6,29~4,7,29
+6,0,189~7,0,189
+7,2,29~9,2,29
+2,0,19~4,0,19
+2,7,23~5,7,23
+5,8,40~7,8,40
+2,5,299~2,7,299
+2,4,214~2,6,214
+0,4,58~0,6,58
+2,0,177~2,1,177
+5,5,17~5,5,20
+6,3,317~6,3,320
+5,2,258~8,2,258
+4,7,331~5,7,331
+3,2,124~3,5,124
+4,9,276~5,9,276
+4,2,322~7,2,322
+7,0,57~7,0,59
+2,0,33~4,0,33
+1,1,123~1,3,123
+1,3,308~3,3,308
+5,5,104~8,5,104
+2,1,14~2,2,14
+0,5,106~2,5,106
+4,4,190~4,6,190
+1,2,27~5,2,27
+1,2,147~4,2,147
+5,3,246~5,4,246
+6,4,181~6,6,181
+0,0,230~3,0,230
+4,0,36~6,0,36
+4,1,32~5,1,32
+1,5,41~3,5,41
+0,2,150~0,3,150
+3,9,97~5,9,97
+8,3,312~8,5,312
+9,8,225~9,9,225
+5,4,324~5,5,324
+3,7,277~6,7,277
+3,5,291~5,5,291
+0,1,70~3,1,70
+2,7,306~6,7,306
+2,9,114~3,9,114
+5,3,182~5,5,182
+6,5,174~7,5,174
+1,0,173~1,3,173
+6,6,149~7,6,149
+0,0,283~0,2,283
+7,3,286~7,6,286
+1,1,239~1,2,239
+0,6,46~0,8,46
+6,6,225~7,6,225
+0,6,49~0,6,49
+0,8,291~1,8,291
+6,8,4~9,8,4
+6,5,315~8,5,315
+7,5,82~7,8,82
+4,0,101~6,0,101
+5,4,301~7,4,301
+2,4,174~4,4,174
+5,0,176~7,0,176
+0,7,294~0,9,294
+1,2,138~1,4,138
+0,5,80~0,7,80
+1,2,311~3,2,311
+0,4,98~0,7,98
+0,0,44~2,0,44
+2,1,283~2,2,283
+2,8,66~5,8,66
+5,0,3~5,2,3
+7,5,121~7,8,121
+9,3,100~9,5,100
+7,0,68~8,0,68
+3,6,251~4,6,251
+1,3,143~1,6,143
+6,5,258~7,5,258
+4,0,236~7,0,236
+4,6,81~7,6,81
+1,4,201~1,8,201
+4,7,179~6,7,179
+1,5,271~4,5,271
+9,1,44~9,1,46
+2,1,239~5,1,239
+3,6,111~5,6,111
+7,6,74~7,8,74
+0,2,181~0,3,181
+7,3,152~9,3,152
+6,0,143~6,2,143
+2,2,91~2,4,91
+8,5,30~9,5,30
+1,1,191~1,3,191
+2,5,28~5,5,28
+5,3,302~5,6,302
+9,1,245~9,3,245
+8,2,98~8,4,98
+7,3,227~7,4,227
+2,6,114~3,6,114
+4,0,173~7,0,173
+4,8,87~6,8,87
+0,5,94~0,5,96
+3,4,97~3,6,97
+6,5,2~6,5,5
+0,8,268~3,8,268
+1,0,304~1,1,304
+5,7,157~8,7,157
+2,3,186~5,3,186
+4,0,40~4,0,40
+0,5,270~0,8,270
+1,2,56~5,2,56
+1,5,59~1,7,59
+6,4,216~6,4,218
+4,0,251~7,0,251
+2,3,81~2,5,81
+1,1,193~1,1,193
+3,5,208~5,5,208
+3,3,210~4,3,210
+6,0,145~7,0,145
+6,4,68~9,4,68
+8,7,102~8,9,102
+7,4,267~8,4,267
+2,2,144~2,4,144
+3,1,127~3,3,127
+5,4,256~5,5,256
+8,8,210~8,9,210
+3,6,172~3,9,172
+1,6,239~4,6,239
+4,5,168~4,8,168
+0,0,280~4,0,280
+3,9,293~5,9,293
+3,0,81~5,0,81
+7,8,220~7,8,222
+4,3,132~4,6,132
+8,0,172~8,1,172
+5,9,203~8,9,203
+1,5,246~3,5,246
+0,8,88~4,8,88
+8,3,140~8,6,140
+2,1,219~2,4,219
+2,7,195~4,7,195
+6,3,273~8,3,273
+2,1,236~4,1,236
+6,5,289~6,7,289
+0,3,222~0,5,222
+5,3,170~5,3,170
+4,5,235~7,5,235
+1,8,3~1,8,5
+3,4,184~3,4,186
+3,4,278~3,6,278
+9,2,47~9,2,49
+2,3,215~2,5,215
+5,2,8~8,2,8
+2,4,22~2,4,25
+9,1,208~9,4,208
+0,3,11~2,3,11
+3,1,313~3,1,315
+6,0,58~6,1,58
+6,3,12~9,3,12
+6,8,224~9,8,224
+5,6,101~7,6,101
+0,2,317~1,2,317
+9,7,303~9,9,303
+1,1,109~1,2,109
+4,0,179~6,0,179
+7,5,57~7,8,57
+4,4,293~4,6,293
+1,8,12~3,8,12
+3,7,278~3,9,278
+0,1,231~0,3,231
+7,0,308~7,1,308
+6,1,267~6,4,267
+4,3,156~4,6,156
+7,1,179~9,1,179
+4,1,154~6,1,154
+1,8,18~2,8,18
+9,2,17~9,4,17
+8,3,94~8,5,94
+7,7,27~9,7,27
+2,3,27~2,6,27
+0,2,139~1,2,139
+0,3,323~2,3,323
+0,7,140~2,7,140
+7,0,27~7,2,27
+7,0,146~9,0,146
+5,1,65~5,4,65
+5,0,249~5,3,249
+9,5,109~9,7,109
+7,5,144~7,8,144
+7,3,199~7,4,199