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line :: Proc String -- same as getLine | |
solveB :: Proc String | |
solveB = do | |
[nS,vS,xS] <- words <$> line | |
let | |
n = read nS :: Int | |
[v,x] = map read [vS,xS] :: [Double] | |
ss <- map (map read . words) <$> replicateM n line | |
let | |
minS = map (\xs -> (sum $ map fst xs, snd $ head xs)) $ groupBy ((==)`on`snd) $ map (\[r,c] -> (r,c)) $ sortBy (compare`on`(!!1)) ss | |
maxS = reverse minS | |
maxT = (*2) $ v / (minimum $ map fst minS) + 0.1 | |
temp :: [(Double,Double)] -> Double -> Maybe Double | |
temp xs t = toMaybe $ foldl f (Left (0,0)) xs where | |
f (Right x) _ = Right x | |
f (Left (p,c)) (u,y) | |
| p + t*u < v = Left (p+t*u, c+u*y*t) | |
| otherwise = Right $ c/v+(1-p/v)*y | |
toMaybe (Left (p,c)) = Nothing | |
toMaybe (Right x) = Just x | |
check :: Double -> Bool | |
check t = let | |
nT = temp minS t | |
xT = temp maxS t | |
in case (nT,xT) of | |
(Just p, Just q) -> p <= x && x <= q | |
_ -> False | |
bSearch :: (Double,Double) -> Double | |
bSearch (l,r) | |
| abs (r-l) < 1e-8 = (l+r)/2 | |
| otherwise = let t = (l+r)/2 in case check t of | |
True -> bSearch (l,t) | |
False -> bSearch (t,r) | |
return $ case check maxT of | |
True -> show $ bSearch (0,maxT) | |
False -> "IMPOSSIBLE" |
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