Created
April 14, 2014 20:20
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Solution to the Round 1A of Google's Code Jam (http://goo.gl/yX6J8).
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import Data.List.Split (splitOn) | |
import Control.Monad ((>=>)) | |
newtype Circle = Circle { circleRadius :: Double } deriving (Eq, Show) | |
newtype Paint = Paint { remainingMl :: Double } deriving (Eq, Show) | |
data Ring = Ring { ringRadius :: Double | |
, ringThickness :: Double | |
} deriving (Eq, Show) | |
-- circle area | |
circleArea :: Circle -> Double | |
circleArea (Circle r) = (r ** 2) | |
-- area of a ring | |
ringArea :: Ring -> Double | |
ringArea (Ring ra th) = (circleArea $ Circle ra) - (circleArea $ Circle (ra - th)) | |
-- returns the next ring after the one passed | |
nextRing :: Ring -> Ring | |
nextRing (Ring r t) = Ring (r + t) t | |
-- with the given paint, tries to draw that ring and returns | |
-- the remaining paint or nothing | |
drawRing :: Paint -> Ring -> Maybe Paint | |
drawRing (Paint ml) r = if (rp >= 0) then Just (Paint rp) else Nothing | |
where rp = ml - a | |
a = ringArea r | |
-- returns the number of rings that can be drawn with | |
-- that amount of paint and given that the next ring to draw is | |
-- the one given | |
ringsPerPaint :: Paint -> Ring -> Int -> Int | |
ringsPerPaint t r c = | |
case (drawRing t r) of | |
Nothing -> 0 | |
Just p -> ringsPerPaint p nr (c + 1) | |
where nr = (nextRing . nextRing) r | |
-- awaits for some input and process it into | |
-- a tuple of index, paint and starting ring | |
readInput :: Int -> IO (Int, Paint, Ring) | |
readInput i = do | |
ln <- getLine | |
let ls = splitOn " " ln | |
r = ((read $ head ls) :: Double) | |
t = ((read $ last ls) :: Double) | |
return (i, Paint t, Ring (r + 1) 1) | |
-- prints out the results | |
processOutput :: (Int, Paint, Ring) -> String | |
processOutput (i, p, r) = ("Case #" ++ (show i) ++ ": " ++ (show $ ringsPerPaint p r 0)) | |
main :: IO () | |
main = do | |
gn <- getLine | |
let n = (read gn :: Int) | |
ls <- mapM (fmap processOutput . readInput) [1..n] | |
mapM_ putStrLn ls |
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