Kattis Ants challenge












1












$begingroup$


I am trying to learn Haskell doing some contest problems. I have worked a bit with the language but still have a very long way ahead.



Right now I am working with a problem called Ants:




An army of ants walk on a horizontal pole of length l cm, each with a constant speed of 1 cm/s. When a walking ant reaches an end of the pole, it immediatelly falls off it. When two ants meet they turn back and start walking in opposite directions. We know the original positions of ants on the pole, unfortunately, we do not know the directions in which the ants are walking. Your task is to compute the earliest and the latest possible times needed for all ants to fall off the pole.



Input



The first line of input contains one integer giving the number of cases that follow, at most 100. The data for each case start with two integer numbers: the length l of the pole (in cm) and n, the number of ants residing on the pole. These two numbers are followed by n integers giving the position of each ant on the pole as the distance measured from the left end of the pole, in no particular order. All input integers are between 0 and 1000000 and they are separated by whitespace.



Output



For each case of input, output two numbers separated by a single space. The first number is the earliest possible time when all ants fall off the pole (if the directions of their walks are chosen appropriately) and the second number is the latest possible such time.



Sample input



2
10 3
2 6 7
214 7
11 12 7 13
176 23 191



It is pretty straight forward, some parsing and minor calculation. My program finished running in 0.69 seconds, while the best result someone achieved with Haskell is something like 0.03! It is very annoying.



I have tried to speed it up with some even uglier code, but the best I have managed with this is 0.66 seconds.



Can anyone spot some obvious things about this code to improve the runtime?



main = do
contents <- getContents
let cases = parse contents

mapM_ putStrLn (map showcase cases)

type Case = (Int, [Int])

showcase :: Case -> String
showcase (len, positions) =
let ds = dists len positions
edgiest = (snd . maximum) ds
es = max (len - edgiest) edgiest

midmost = (snd . minimum) ds
mm = min (len - midmost) midmost
in show mm ++ " " ++ show es


dists :: Int -> [Int] -> [(Float, Int)]
dists l = map (x -> (abs (fromIntegral x - m), x))
where m = fromIntegral l / 2.0

parse :: String -> [Case]
parse = parseCases . tail . words -- skip the first integer

parseCases :: [String] -> [Case]
parseCases =
parseCases xs =
let (cs, rest) = parseCase xs
in cs : parseCases rest

parseCase :: [String] -> (Case, [String])
parseCase (len:a:xs) =
let ants = read a
positions = (map read . take ants) xs
rest = drop ants xs
in ((read len, positions), rest)









share|improve this question











$endgroup$

















    1












    $begingroup$


    I am trying to learn Haskell doing some contest problems. I have worked a bit with the language but still have a very long way ahead.



    Right now I am working with a problem called Ants:




    An army of ants walk on a horizontal pole of length l cm, each with a constant speed of 1 cm/s. When a walking ant reaches an end of the pole, it immediatelly falls off it. When two ants meet they turn back and start walking in opposite directions. We know the original positions of ants on the pole, unfortunately, we do not know the directions in which the ants are walking. Your task is to compute the earliest and the latest possible times needed for all ants to fall off the pole.



    Input



    The first line of input contains one integer giving the number of cases that follow, at most 100. The data for each case start with two integer numbers: the length l of the pole (in cm) and n, the number of ants residing on the pole. These two numbers are followed by n integers giving the position of each ant on the pole as the distance measured from the left end of the pole, in no particular order. All input integers are between 0 and 1000000 and they are separated by whitespace.



    Output



    For each case of input, output two numbers separated by a single space. The first number is the earliest possible time when all ants fall off the pole (if the directions of their walks are chosen appropriately) and the second number is the latest possible such time.



    Sample input



    2
    10 3
    2 6 7
    214 7
    11 12 7 13
    176 23 191



    It is pretty straight forward, some parsing and minor calculation. My program finished running in 0.69 seconds, while the best result someone achieved with Haskell is something like 0.03! It is very annoying.



    I have tried to speed it up with some even uglier code, but the best I have managed with this is 0.66 seconds.



    Can anyone spot some obvious things about this code to improve the runtime?



    main = do
    contents <- getContents
    let cases = parse contents

    mapM_ putStrLn (map showcase cases)

    type Case = (Int, [Int])

    showcase :: Case -> String
    showcase (len, positions) =
    let ds = dists len positions
    edgiest = (snd . maximum) ds
    es = max (len - edgiest) edgiest

    midmost = (snd . minimum) ds
    mm = min (len - midmost) midmost
    in show mm ++ " " ++ show es


    dists :: Int -> [Int] -> [(Float, Int)]
    dists l = map (x -> (abs (fromIntegral x - m), x))
    where m = fromIntegral l / 2.0

    parse :: String -> [Case]
    parse = parseCases . tail . words -- skip the first integer

    parseCases :: [String] -> [Case]
    parseCases =
    parseCases xs =
    let (cs, rest) = parseCase xs
    in cs : parseCases rest

    parseCase :: [String] -> (Case, [String])
    parseCase (len:a:xs) =
    let ants = read a
    positions = (map read . take ants) xs
    rest = drop ants xs
    in ((read len, positions), rest)









    share|improve this question











    $endgroup$















      1












      1








      1





      $begingroup$


      I am trying to learn Haskell doing some contest problems. I have worked a bit with the language but still have a very long way ahead.



      Right now I am working with a problem called Ants:




      An army of ants walk on a horizontal pole of length l cm, each with a constant speed of 1 cm/s. When a walking ant reaches an end of the pole, it immediatelly falls off it. When two ants meet they turn back and start walking in opposite directions. We know the original positions of ants on the pole, unfortunately, we do not know the directions in which the ants are walking. Your task is to compute the earliest and the latest possible times needed for all ants to fall off the pole.



      Input



      The first line of input contains one integer giving the number of cases that follow, at most 100. The data for each case start with two integer numbers: the length l of the pole (in cm) and n, the number of ants residing on the pole. These two numbers are followed by n integers giving the position of each ant on the pole as the distance measured from the left end of the pole, in no particular order. All input integers are between 0 and 1000000 and they are separated by whitespace.



      Output



      For each case of input, output two numbers separated by a single space. The first number is the earliest possible time when all ants fall off the pole (if the directions of their walks are chosen appropriately) and the second number is the latest possible such time.



      Sample input



      2
      10 3
      2 6 7
      214 7
      11 12 7 13
      176 23 191



      It is pretty straight forward, some parsing and minor calculation. My program finished running in 0.69 seconds, while the best result someone achieved with Haskell is something like 0.03! It is very annoying.



      I have tried to speed it up with some even uglier code, but the best I have managed with this is 0.66 seconds.



      Can anyone spot some obvious things about this code to improve the runtime?



      main = do
      contents <- getContents
      let cases = parse contents

      mapM_ putStrLn (map showcase cases)

      type Case = (Int, [Int])

      showcase :: Case -> String
      showcase (len, positions) =
      let ds = dists len positions
      edgiest = (snd . maximum) ds
      es = max (len - edgiest) edgiest

      midmost = (snd . minimum) ds
      mm = min (len - midmost) midmost
      in show mm ++ " " ++ show es


      dists :: Int -> [Int] -> [(Float, Int)]
      dists l = map (x -> (abs (fromIntegral x - m), x))
      where m = fromIntegral l / 2.0

      parse :: String -> [Case]
      parse = parseCases . tail . words -- skip the first integer

      parseCases :: [String] -> [Case]
      parseCases =
      parseCases xs =
      let (cs, rest) = parseCase xs
      in cs : parseCases rest

      parseCase :: [String] -> (Case, [String])
      parseCase (len:a:xs) =
      let ants = read a
      positions = (map read . take ants) xs
      rest = drop ants xs
      in ((read len, positions), rest)









      share|improve this question











      $endgroup$




      I am trying to learn Haskell doing some contest problems. I have worked a bit with the language but still have a very long way ahead.



      Right now I am working with a problem called Ants:




      An army of ants walk on a horizontal pole of length l cm, each with a constant speed of 1 cm/s. When a walking ant reaches an end of the pole, it immediatelly falls off it. When two ants meet they turn back and start walking in opposite directions. We know the original positions of ants on the pole, unfortunately, we do not know the directions in which the ants are walking. Your task is to compute the earliest and the latest possible times needed for all ants to fall off the pole.



      Input



      The first line of input contains one integer giving the number of cases that follow, at most 100. The data for each case start with two integer numbers: the length l of the pole (in cm) and n, the number of ants residing on the pole. These two numbers are followed by n integers giving the position of each ant on the pole as the distance measured from the left end of the pole, in no particular order. All input integers are between 0 and 1000000 and they are separated by whitespace.



      Output



      For each case of input, output two numbers separated by a single space. The first number is the earliest possible time when all ants fall off the pole (if the directions of their walks are chosen appropriately) and the second number is the latest possible such time.



      Sample input



      2
      10 3
      2 6 7
      214 7
      11 12 7 13
      176 23 191



      It is pretty straight forward, some parsing and minor calculation. My program finished running in 0.69 seconds, while the best result someone achieved with Haskell is something like 0.03! It is very annoying.



      I have tried to speed it up with some even uglier code, but the best I have managed with this is 0.66 seconds.



      Can anyone spot some obvious things about this code to improve the runtime?



      main = do
      contents <- getContents
      let cases = parse contents

      mapM_ putStrLn (map showcase cases)

      type Case = (Int, [Int])

      showcase :: Case -> String
      showcase (len, positions) =
      let ds = dists len positions
      edgiest = (snd . maximum) ds
      es = max (len - edgiest) edgiest

      midmost = (snd . minimum) ds
      mm = min (len - midmost) midmost
      in show mm ++ " " ++ show es


      dists :: Int -> [Int] -> [(Float, Int)]
      dists l = map (x -> (abs (fromIntegral x - m), x))
      where m = fromIntegral l / 2.0

      parse :: String -> [Case]
      parse = parseCases . tail . words -- skip the first integer

      parseCases :: [String] -> [Case]
      parseCases =
      parseCases xs =
      let (cs, rest) = parseCase xs
      in cs : parseCases rest

      parseCase :: [String] -> (Case, [String])
      parseCase (len:a:xs) =
      let ants = read a
      positions = (map read . take ants) xs
      rest = drop ants xs
      in ((read len, positions), rest)






      performance programming-challenge haskell






      share|improve this question















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      share|improve this question




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      edited 1 min ago









      200_success

      129k15152415




      129k15152415










      asked 6 hours ago









      AmozAmoz

      284




      284






















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