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| import Text.Printf (printf) | |
| integrate l = [(n,p+1,(p+1)*d) | (n,p,d) <- l] | |
| sq l = [(n*n', p+p', d*d') | (n,p,d) <- l, (n',p',d') <- l ] | |
| solve_ l v = sum $ [( fromIntegral n)*(( fromIntegral v)^p) / (fromIntegral d) | (n, p, d) <- l] | |
| solve :: Int -> Int -> [Int] -> [Int] -> [Double] | |
| solve l r a b | |
| | otherwise = [area, vol] | |
| where | |
| c = [1,1 ..] | |
| f = zip3 a b c | |
| f_area = integrate f | |
| f_volume = integrate $ sq f | |
| area = (solve_ f_area r) - (solve_ f_area l) | |
| vol = pi * ((solve_ f_volume r) - (solve_ f_volume l)) | |
| main :: IO () | |
| main = getContents >>= mapM_ (printf "%.1f\n"). (\[a, b, [l, r]] -> solve l r a b). map (map read. words). lines |
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