From 3d54dd01916b05809318028dcd9cb5e2bdc9f033 Mon Sep 17 00:00:00 2001 From: Jonathan Chan Date: Wed, 22 Aug 2018 17:08:27 -0700 Subject: [PATCH] Problem 83 --- 83_alt.exe | Bin 0 -> 11758786 bytes 83_alt.hi | Bin 2987 -> 4041 bytes 83_alt.hs | 80 ++++++++++++++++++++++++++++------------------------- 83_alt.o | Bin 43432 -> 37401 bytes 83_alt2.hs | 76 -------------------------------------------------- 5 files changed, 42 insertions(+), 114 deletions(-) create mode 100644 83_alt.exe delete mode 100644 83_alt2.hs diff --git a/83_alt.exe b/83_alt.exe new file mode 100644 index 0000000000000000000000000000000000000000..15362c61b2bfe0d49cb7a40923751603894f2bc9 GIT binary patch literal 11758786 zcmeFa33yy(^*???w+O-vXdxibfd&a8CB=oXl?iQdBCSTC5-o)wP@*V=HjyY>$U-y5 z!iX$!j~hn6Dp64aBV||{P;dmrfQkby%%y?@C{97?@AEnDa_^nFlLh!K&;R+~=V>!{ zJMVeVe$KnxRUb|{a~#K+i+|g(4)D{TZK#oq5K2=bhgf`^ed`^&@D}l zbJi8RIe&TSk~PlLS2fzD1l?68m1+UPjz5{~mE9$tulQN9%Cf9m%R3U8jy zb8y0=<8zKP-*MKw<0k2smvpG-q>t#Ub2J{v;;-+BJN5A; 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catMaybes [getNeighbour m dist ((i - 1), j), + getNeighbour m dist ((i + 1), j), + getNeighbour m dist (i, (j - 1)), + getNeighbour m dist (i, (j + 1))] + +dijkstra :: Position -> Matrix MElement -> MinQueue QElement -> Distance dijkstra p m q = - let PQE minElement minDistance = findMin q - in if position minElement == p - then minDistance - else let (newM, newQ) = foldr update (m, q) $ getNeighbours m minElement - in dijkstra p newM newQ - where update neighbour (prevM, prevQ) = - let newDistance = minDistance + value neighbour - in case distance neighbour of - Nothing -> undefined - Just d -> undefined + let (minElement@(QElement dist pos), newQ) = deleteFindMin q + neighbours = getNeighbours m minElement + in if pos == p then dist + else dijkstra p (foldr update m neighbours) (foldr insert newQ neighbours) + where update (QElement _ pos) = markVisited pos -findShortestPathLength :: Matrix Element -> Distance +findShortestPathLength :: Matrix MElement -> Distance findShortestPathLength m = - let initialElement = m ! (1, 1) - initialMinQ = singleton $ PQE initialElement $ value initialElement + let MElement value _ = m ! (1, 1) + initialMinQ = singleton $ QElement value (1, 1) lastPos = (nrows m, ncols m) in dijkstra lastPos m initialMinQ - -setInitial :: Matrix Element -> Matrix Element +setInitial :: Matrix MElement -> Matrix MElement setInitial m = - let v = value $ m ! (1, 1) - in unsafeSet (Element v (Just v) (1, 1)) (1, 1) m + let MElement v _ = m ! 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--- a/83_alt2.hs +++ /dev/null @@ -1,76 +0,0 @@ -import Data.List.Split -import Data.Matrix -import Data.Maybe -import Data.Foldable -import Data.PQueue.Min - -type Value = Integer -type Distance = Integer -type Position = (Int, Int) -data MElement = MElement { - value :: Value, - visited :: Bool -} deriving (Eq, Show) -data QElement = QElement { - distance :: Distance, - position :: (Int, Int) -} deriving (Eq, Show) - -instance Ord QElement where - QElement d1 p1 <= QElement d2 p2 = d1 <= d2 - -markVisited :: Position -> Matrix MElement -> Matrix MElement -markVisited pos m = - let MElement value _ = m ! pos - in unsafeSet (MElement value True) pos m - -getNeighbour :: Matrix MElement -> Distance -> Position -> Maybe QElement -getNeighbour m dist pos@(i, j) = do - MElement val vis <- safeGet i j m - if vis then Nothing - else return $ QElement (dist + val) pos - -getNeighbours :: Matrix MElement -> QElement -> [QElement] -getNeighbours m (QElement dist (i, j)) = - catMaybes [getNeighbour m dist ((i - 1), j), - getNeighbour m dist ((i + 1), j), - getNeighbour m dist (i, (j - 1)), - getNeighbour m dist (i, (j + 1))] - -dijkstra :: Position -> Matrix MElement -> MinQueue QElement -> Distance -dijkstra p m q = - let minElement@(QElement dist pos) = findMin q - neighbours = getNeighbours m minElement - in if pos == p then dist - else dijkstra p (foldr update m neighbours) (foldr insert q neighbours) -- add neighbours to q - where update (QElement _ pos) = markVisited pos - -findShortestPathLength :: Matrix MElement -> Distance -findShortestPathLength m = - let MElement value _ = m ! (1, 1) - initialMinQ = singleton $ QElement value (1, 1) - lastPos = (nrows m, ncols m) - in dijkstra lastPos m initialMinQ - -setInitial :: Matrix MElement -> Matrix MElement -setInitial m = - let MElement v _ = m ! (1, 1) - in unsafeSet (MElement v True) (1, 1) m - -initElement :: Matrix Integer -> Position -> MElement -initElement m p = - let value = m ! p - in MElement value False - -toElementMatrix :: Matrix Integer -> Matrix MElement -toElementMatrix m = - matrix (nrows m) (ncols m) (initElement m) - -main :: IO () -main = do - contents <- readFile "p083_matrix.txt" - let listsMatrix = fmap (fmap read . (splitOn ",")) $ lines contents :: [[Integer]] - valueMatrix = fromLists listsMatrix - unvisitedMatrix = toElementMatrix valueMatrix - mtrx = setInitial unvisitedMatrix - print $ findShortestPathLength mtrx \ No newline at end of file

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