Submission #169664
Source Code Expand
{-# LANGUAGE CPP #-}
#ifndef HDEVTOOLS
{-# OPTIONS_GHC -O2 -funbox-strict-fields #-}
#endif
{-# LANGUAGE BangPatterns, ViewPatterns, OverloadedStrings #-}
import Control.Applicative
import qualified Data.ByteString.Char8 as S
import Data.Vector.Unboxed (fromList)
import qualified Data.Vector.Unboxed as U
main :: IO ()
main = do
--mapM_ print exOneTable
n <- readLn
xs <- U.replicateM n $ readInt <$> S.getLine
print $ solve xs
solve :: U.Vector Int -> Double
solve xs = U.sum $ U.map (exOne' $ U.length xs) $ ndivs xs
ndivs :: U.Vector Int -> U.Vector Int
ndivs xs = U.map f xs
where
f x = subtract 1 $ U.length $ U.filter ((==0) . mod x) xs
--exOneTable :: [U.Vector Double]
--exOneTable = [U.map (exOne n) $ U.enumFromTo 0 (n-1) | n <- [0..100]]
exOne' :: Int -> Int -> Double
exOne' n d = (exOneTable !! n) U.! d
exOne :: Int -> Int -> Double
exOne n d = sum (map (evenProb n d) [0..n-1]) / fromIntegral n
evenProb :: Int -> Int -> Int -> Double
evenProb n d p = fromRational $ fromInteger (sum (zipWith (*) cs (cycle [1,0]))) / fromInteger total
where
!total = sum cs
!cs = map (count n d p) [0..d]
count :: Int -> Int -> Int -> Int -> Integer
count n d p l = comb d l * comb (n-d-1) (p-l) * fac p * fac (n - p - 1)
comb :: Int -> Int -> Integer
comb n k
| k < 0 = 0
| otherwise = product [toInteger (n-k+1) .. toInteger n] `div` fac k
fac :: Int -> Integer
fac n = product [1..toInteger n]
readInt :: S.ByteString -> Int
readInt s = case S.readInt s of
Just (r, "") -> r
_ -> error $ "not an integer: " ++ show s
exOneTable :: [U.Vector Double]
exOneTable =
[ fromList []
, fromList [1.0]
, fromList [1.0,0.5]
, fromList [1.0,0.5,0.6666666666666666]
, fromList [1.0,0.49999999999999994,0.6666666666666666,0.5]
, fromList [1.0,0.5,0.6666666666666666,0.5,0.6]
, fromList [1.0,0.5,0.6666666666666666,0.5,0.6,0.5]
, fromList [1.0,0.5,0.6666666666666666,0.5,0.6,0.5000000000000001,0.5714285714285714]
, fromList [1.0,0.5,0.6666666666666666,0.49999999999999994,0.5999999999999999,0.49999999999999994,0.5714285714285714,0.5]
, fromList [1.0,0.5,0.6666666666666666,0.5,0.6000000000000001,0.5,0.5714285714285714,0.5,0.5555555555555556]
, fromList [1.0,0.4999999999999999,0.6666666666666667,0.5,0.6,0.5,0.5714285714285714,0.5,0.5555555555555556,0.5]
, fromList [1.0,0.5,0.6666666666666667,0.5,0.6,0.5,0.5714285714285715,0.5,0.5555555555555557,0.5000000000000001,0.5454545454545454]
, fromList [1.0,0.49999999999999994,0.6666666666666666,0.5,0.6000000000000001,0.49999999999999994,0.5714285714285715,0.5,0.5555555555555555,0.5,0.5454545454545454,0.5]
, fromList [1.0,0.5,0.6666666666666666,0.49999999999999994,0.6000000000000001,0.49999999999999994,0.5714285714285714,0.5,0.5555555555555556,0.5000000000000001,0.5454545454545455,0.5,0.5384615384615384]
, fromList [1.0,0.5000000000000001,0.6666666666666667,0.5000000000000001,0.6,0.5,0.5714285714285714,0.5,0.5555555555555556,0.5,0.5454545454545454,0.5,0.5384615384615384,0.5]
, fromList [1.0,0.5,0.6666666666666666,0.49999999999999994,0.6,0.49999999999999994,0.5714285714285714,0.5,0.5555555555555555,0.5000000000000001,0.5454545454545453,0.49999999999999994,0.5384615384615384,0.5000000000000001,0.5333333333333333]
, fromList [1.0,0.5,0.6666666666666667,0.5,0.6,0.49999999999999994,0.5714285714285715,0.5,0.5555555555555556,0.5,0.5454545454545454,0.5,0.5384615384615385,0.5000000000000001,0.5333333333333333,0.5]
, fromList [1.0,0.5,0.6666666666666667,0.4999999999999999,0.6,0.4999999999999999,0.5714285714285715,0.5,0.5555555555555556,0.5,0.5454545454545455,0.5,0.5384615384615384,0.5,0.5333333333333333,0.5,0.5294117647058824]
, fromList [1.0,0.4999999999999999,0.6666666666666666,0.4999999999999999,0.6000000000000001,0.5000000000000001,0.5714285714285715,0.5000000000000001,0.5555555555555555,0.4999999999999999,0.5454545454545454,0.5,0.5384615384615385,0.5,0.5333333333333333,0.5,0.5294117647058824,0.5]
, fromList [1.0,0.5,0.6666666666666666,0.5,0.6,0.5,0.5714285714285714,0.5000000000000001,0.5555555555555556,0.4999999999999999,0.5454545454545454,0.5,0.5384615384615385,0.4999999999999999,0.5333333333333333,0.5000000000000001,0.5294117647058824,0.5,0.5263157894736842]
, fromList [1.0,0.4999999999999999,0.6666666666666667,0.4999999999999999,0.6,0.4999999999999999,0.5714285714285714,0.5,0.5555555555555556,0.5,0.5454545454545453,0.5,0.5384615384615385,0.5,0.5333333333333333,0.4999999999999999,0.5294117647058824,0.4999999999999999,0.5263157894736842,0.5]
, fromList [1.0,0.5,0.6666666666666666,0.5000000000000001,0.6000000000000001,0.5,0.5714285714285714,0.5,0.5555555555555556,0.49999999999999983,0.5454545454545454,0.4999999999999999,0.5384615384615385,0.5000000000000001,0.5333333333333333,0.5,0.5294117647058825,0.5000000000000001,0.5263157894736843,0.4999999999999999,0.5238095238095238]
, fromList [1.0,0.5,0.6666666666666667,0.49999999999999983,0.6000000000000001,0.5,0.5714285714285714,0.5,0.5555555555555555,0.5,0.5454545454545454,0.5,0.5384615384615384,0.5,0.5333333333333334,0.49999999999999994,0.5294117647058824,0.5,0.526315789473684,0.5,0.5238095238095238,0.5]
, fromList [1.0,0.5,0.6666666666666667,0.5000000000000001,0.6000000000000001,0.5,0.5714285714285714,0.5000000000000001,0.5555555555555555,0.5,0.5454545454545454,0.5,0.5384615384615383,0.49999999999999994,0.5333333333333333,0.5,0.5294117647058824,0.5,0.5263157894736843,0.5,0.5238095238095238,0.5000000000000001,0.5217391304347826]
, fromList [1.0,0.5000000000000001,0.6666666666666666,0.49999999999999983,0.6,0.5,0.5714285714285714,0.5,0.5555555555555554,0.5000000000000001,0.5454545454545454,0.5,0.5384615384615384,0.5,0.5333333333333333,0.5,0.5294117647058824,0.5000000000000001,0.5263157894736842,0.5,0.5238095238095238,0.5,0.5217391304347826,0.5]
, fromList [1.0,0.5,0.6666666666666665,0.49999999999999994,0.6000000000000001,0.5,0.5714285714285715,0.5000000000000001,0.5555555555555555,0.5,0.5454545454545456,0.5000000000000001,0.5384615384615384,0.5,0.5333333333333333,0.5000000000000001,0.5294117647058824,0.5000000000000001,0.5263157894736843,0.5,0.5238095238095237,0.49999999999999994,0.5217391304347827,0.5000000000000001,0.52]
, fromList [1.0,0.4999999999999999,0.6666666666666667,0.49999999999999994,0.5999999999999999,0.5,0.5714285714285714,0.5,0.5555555555555556,0.5,0.5454545454545454,0.5000000000000001,0.5384615384615384,0.4999999999999999,0.5333333333333333,0.49999999999999994,0.5294117647058824,0.49999999999999994,0.5263157894736842,0.5000000000000001,0.5238095238095237,0.5,0.5217391304347826,0.49999999999999994,0.5199999999999998,0.5]
, fromList [1.0,0.5,0.6666666666666666,0.5,0.6000000000000001,0.5000000000000001,0.5714285714285714,0.5000000000000001,0.5555555555555555,0.5000000000000001,0.5454545454545454,0.5000000000000001,0.5384615384615385,0.49999999999999994,0.5333333333333333,0.5,0.5294117647058824,0.4999999999999999,0.5263157894736844,0.5000000000000001,0.5238095238095238,0.5,0.5217391304347826,0.5,0.5199999999999999,0.5,0.5185185185185185]
, fromList [1.0,0.4999999999999999,0.6666666666666667,0.49999999999999994,0.5999999999999999,0.49999999999999994,0.5714285714285714,0.5000000000000001,0.5555555555555555,0.5000000000000001,0.5454545454545456,0.49999999999999994,0.5384615384615384,0.5,0.5333333333333333,0.5000000000000001,0.5294117647058822,0.5000000000000001,0.5263157894736843,0.5,0.5238095238095238,0.5000000000000001,0.5217391304347826,0.49999999999999994,0.5199999999999999,0.5000000000000001,0.5185185185185185,0.5]
, fromList [1.0,0.5,0.6666666666666666,0.49999999999999994,0.6,0.49999999999999994,0.5714285714285714,0.5000000000000001,0.5555555555555557,0.49999999999999994,0.5454545454545454,0.49999999999999994,0.5384615384615384,0.5000000000000001,0.5333333333333333,0.49999999999999994,0.5294117647058824,0.49999999999999994,0.5263157894736843,0.49999999999999994,0.5238095238095238,0.5,0.5217391304347825,0.5000000000000001,0.52,0.5000000000000001,0.5185185185185185,0.5,0.5172413793103449]
, fromList [1.0,0.5000000000000001,0.6666666666666666,0.5000000000000001,0.6000000000000001,0.5,0.5714285714285714,0.5,0.5555555555555555,0.5000000000000001,0.5454545454545453,0.49999999999999994,0.5384615384615384,0.5000000000000001,0.5333333333333333,0.5000000000000001,0.5294117647058825,0.49999999999999994,0.5263157894736842,0.49999999999999983,0.5238095238095238,0.4999999999999999,0.5217391304347827,0.5000000000000001,0.5200000000000001,0.5000000000000001,0.5185185185185185,0.49999999999999994,0.5172413793103449,0.5]
, fromList [1.0,0.49999999999999994,0.6666666666666667,0.49999999999999983,0.6,0.5,0.5714285714285714,0.5,0.5555555555555557,0.5,0.5454545454545454,0.5000000000000001,0.5384615384615385,0.5,0.5333333333333333,0.5,0.5294117647058825,0.49999999999999994,0.5263157894736843,0.5,0.5238095238095238,0.4999999999999999,0.5217391304347825,0.5,0.5199999999999999,0.5000000000000001,0.5185185185185186,0.49999999999999994,0.5172413793103449,0.5,0.5161290322580645]
, fromList [1.0,0.5000000000000001,0.6666666666666666,0.5,0.6,0.5,0.5714285714285714,0.5000000000000001,0.5555555555555556,0.5,0.5454545454545455,0.5,0.5384615384615384,0.5,0.5333333333333334,0.5,0.5294117647058824,0.5,0.5263157894736842,0.4999999999999999,0.5238095238095237,0.5,0.5217391304347827,0.5,0.5200000000000001,0.5000000000000001,0.5185185185185186,0.49999999999999994,0.5172413793103448,0.49999999999999994,0.5161290322580647,0.5]
, fromList [1.0,0.5,0.6666666666666666,0.5,0.5999999999999999,0.5000000000000001,0.5714285714285712,0.5,0.5555555555555554,0.5000000000000001,0.5454545454545453,0.4999999999999999,0.5384615384615384,0.5000000000000001,0.5333333333333332,0.5,0.5294117647058824,0.5000000000000001,0.5263157894736842,0.5,0.5238095238095237,0.4999999999999999,0.5217391304347827,0.5000000000000001,0.5199999999999999,0.5,0.5185185185185186,0.5,0.5172413793103449,0.5,0.5161290322580645,0.5,0.5151515151515151]
, fromList [1.0,0.5000000000000001,0.6666666666666666,0.4999999999999999,0.6000000000000002,0.5,0.5714285714285713,0.4999999999999999,0.5555555555555556,0.4999999999999999,0.5454545454545455,0.5,0.5384615384615384,0.5000000000000001,0.5333333333333333,0.5,0.5294117647058824,0.4999999999999999,0.5263157894736841,0.4999999999999999,0.523809523809524,0.5,0.5217391304347825,0.4999999999999999,0.5200000000000001,0.5,0.5185185185185184,0.4999999999999999,0.5172413793103448,0.4999999999999999,0.5161290322580645,0.5,0.5151515151515154,0.5]
, fromList [1.0,0.5000000000000001,0.6666666666666666,0.5,0.6000000000000001,0.4999999999999999,0.5714285714285713,0.5,0.5555555555555556,0.5,0.5454545454545454,0.5,0.5384615384615384,0.5,0.5333333333333333,0.5,0.5294117647058824,0.5,0.5263157894736842,0.5,0.5238095238095237,0.4999999999999999,0.5217391304347826,0.4999999999999999,0.5199999999999999,0.5,0.5185185185185185,0.4999999999999999,0.5172413793103448,0.5,0.5161290322580645,0.4999999999999999,0.515151515151515,0.4999999999999999,0.5142857142857142]
, fromList [1.0,0.4999999999999997,0.6666666666666669,0.5,0.6,0.5000000000000001,0.5714285714285716,0.5,0.5555555555555556,0.4999999999999999,0.5454545454545454,0.4999999999999998,0.5384615384615385,0.4999999999999999,0.5333333333333334,0.4999999999999999,0.5294117647058822,0.4999999999999999,0.5263157894736841,0.5000000000000002,0.5238095238095238,0.5,0.5217391304347827,0.5,0.52,0.5,0.5185185185185186,0.4999999999999999,0.5172413793103448,0.5,0.5161290322580646,0.5,0.5151515151515151,0.5,0.5142857142857142,0.5]
, fromList [1.0,0.5,0.6666666666666667,0.5000000000000001,0.6000000000000002,0.5000000000000001,0.5714285714285715,0.5,0.5555555555555556,0.5000000000000001,0.5454545454545455,0.5,0.5384615384615387,0.5,0.5333333333333334,0.5,0.5294117647058824,0.5,0.5263157894736841,0.4999999999999999,0.5238095238095237,0.5,0.5217391304347826,0.5,0.5200000000000001,0.5,0.5185185185185186,0.5,0.5172413793103449,0.5,0.5161290322580646,0.5,0.5151515151515151,0.4999999999999999,0.5142857142857143,0.5000000000000001,0.5135135135135135]
, fromList [1.0,0.5,0.6666666666666664,0.5,0.6000000000000001,0.5000000000000001,0.5714285714285715,0.5000000000000001,0.5555555555555552,0.5,0.5454545454545454,0.5000000000000001,0.5384615384615384,0.5,0.5333333333333333,0.5000000000000001,0.5294117647058825,0.5,0.5263157894736842,0.4999999999999999,0.523809523809524,0.5,0.5217391304347826,0.5,0.5199999999999999,0.5000000000000001,0.5185185185185185,0.5000000000000001,0.5172413793103449,0.5,0.5161290322580644,0.5,0.5151515151515152,0.5,0.5142857142857143,0.5000000000000001,0.5135135135135136,0.5]
, fromList [1.0,0.5,0.6666666666666669,0.5,0.6000000000000001,0.5,0.5714285714285713,0.5,0.5555555555555558,0.5,0.5454545454545455,0.5,0.5384615384615384,0.5,0.5333333333333332,0.5000000000000002,0.5294117647058822,0.5,0.5263157894736842,0.5,0.5238095238095238,0.4999999999999999,0.5217391304347827,0.49999999999999983,0.52,0.5000000000000001,0.5185185185185183,0.4999999999999999,0.517241379310345,0.4999999999999999,0.5161290322580644,0.4999999999999999,0.5151515151515152,0.5,0.5142857142857142,0.5000000000000001,0.5135135135135135,0.5000000000000001,0.5128205128205128]
, fromList [1.0,0.49999999999999956,0.6666666666666667,0.4999999999999999,0.6,0.5,0.5714285714285716,0.5,0.5555555555555557,0.49999999999999983,0.5454545454545454,0.5000000000000002,0.5384615384615385,0.4999999999999999,0.5333333333333333,0.5,0.5294117647058824,0.4999999999999999,0.5263157894736844,0.4999999999999999,0.5238095238095236,0.5000000000000001,0.5217391304347825,0.4999999999999999,0.5199999999999999,0.5,0.5185185185185186,0.5000000000000001,0.5172413793103448,0.5000000000000001,0.5161290322580646,0.5000000000000001,0.5151515151515152,0.5,0.5142857142857142,0.5000000000000001,0.5135135135135137,0.4999999999999999,0.5128205128205128,0.5]
, fromList [1.0,0.5,0.6666666666666669,0.5000000000000001,0.6000000000000001,0.4999999999999999,0.5714285714285714,0.5,0.5555555555555558,0.5000000000000001,0.5454545454545455,0.5,0.5384615384615385,0.49999999999999983,0.5333333333333332,0.5,0.5294117647058825,0.4999999999999999,0.5263157894736842,0.5,0.5238095238095237,0.4999999999999999,0.5217391304347825,0.4999999999999999,0.52,0.5,0.5185185185185185,0.5,0.517241379310345,0.5000000000000001,0.5161290322580646,0.5,0.5151515151515152,0.4999999999999999,0.5142857142857142,0.4999999999999999,0.5135135135135135,0.4999999999999999,0.5128205128205129,0.5,0.5121951219512195]
, fromList [1.0,0.4999999999999999,0.6666666666666666,0.5,0.6000000000000002,0.5,0.5714285714285715,0.5,0.5555555555555556,0.4999999999999999,0.5454545454545455,0.5000000000000001,0.5384615384615385,0.5000000000000001,0.5333333333333332,0.5000000000000002,0.5294117647058825,0.4999999999999999,0.5263157894736844,0.4999999999999999,0.5238095238095238,0.5,0.5217391304347823,0.5,0.52,0.5,0.5185185185185185,0.5000000000000001,0.5172413793103446,0.5,0.5161290322580644,0.5,0.515151515151515,0.5,0.5142857142857145,0.5,0.5135135135135137,0.5,0.5128205128205126,0.5,0.5121951219512194,0.5]
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]
Submission Info
| Submission Time |
|
| Task |
C - コイン |
| User |
mkotha |
| Language |
Haskell (GHC 7.4.1) |
| Score |
100 |
| Code Size |
83911 Byte |
| Status |
AC |
| Exec Time |
82 ms |
| Memory |
1756 KB |
Judge Result
| Set Name |
Sample |
Subtask1 |
Subtask2 |
| Score / Max Score |
0 / 0 |
99 / 99 |
1 / 1 |
| Status |
|
|
|
| Set Name |
Test Cases |
| Sample |
sample_01.txt, sample_02.txt, sample_03.txt |
| Subtask1 |
subtask1_01.txt, subtask1_02.txt, subtask1_03.txt, subtask1_04.txt, subtask1_05.txt, subtask1_06.txt, subtask1_07.txt, subtask1_08.txt, subtask1_09.txt, subtask1_10.txt, subtask1_11.txt, subtask1_12.txt, subtask1_13.txt, subtask1_14.txt, subtask1_15.txt, subtask1_16.txt, subtask1_17.txt, subtask1_18.txt, subtask1_19.txt, subtask1_20.txt |
| Subtask2 |
subtask1_01.txt, subtask1_02.txt, subtask1_03.txt, subtask1_04.txt, subtask1_05.txt, subtask1_06.txt, subtask1_07.txt, subtask1_08.txt, subtask1_09.txt, subtask1_10.txt, subtask1_11.txt, subtask1_12.txt, subtask1_13.txt, subtask1_14.txt, subtask1_15.txt, subtask1_16.txt, subtask1_17.txt, subtask1_18.txt, subtask1_19.txt, subtask1_20.txt, subtask2_01.txt, subtask2_02.txt, subtask2_03.txt, subtask2_04.txt, subtask2_05.txt, subtask2_06.txt, subtask2_07.txt, subtask2_08.txt, subtask2_09.txt, subtask2_10.txt, subtask2_11.txt, subtask2_12.txt, subtask2_13.txt, subtask2_14.txt, subtask2_15.txt, subtask2_16.txt, subtask2_17.txt, subtask2_18.txt, subtask2_19.txt, subtask2_20.txt |
| Case Name |
Status |
Exec Time |
Memory |
| sample_01.txt |
AC |
29 ms |
1432 KB |
| sample_02.txt |
AC |
82 ms |
1432 KB |
| sample_03.txt |
AC |
24 ms |
1560 KB |
| subtask1_01.txt |
AC |
25 ms |
1496 KB |
| subtask1_02.txt |
AC |
24 ms |
1508 KB |
| subtask1_03.txt |
AC |
24 ms |
1516 KB |
| subtask1_04.txt |
AC |
25 ms |
1504 KB |
| subtask1_05.txt |
AC |
25 ms |
1564 KB |
| subtask1_06.txt |
AC |
25 ms |
1436 KB |
| subtask1_07.txt |
AC |
25 ms |
1564 KB |
| subtask1_08.txt |
AC |
25 ms |
1568 KB |
| subtask1_09.txt |
AC |
25 ms |
1432 KB |
| subtask1_10.txt |
AC |
24 ms |
1436 KB |
| subtask1_11.txt |
AC |
27 ms |
1516 KB |
| subtask1_12.txt |
AC |
23 ms |
1436 KB |
| subtask1_13.txt |
AC |
24 ms |
1436 KB |
| subtask1_14.txt |
AC |
24 ms |
1424 KB |
| subtask1_15.txt |
AC |
25 ms |
1572 KB |
| subtask1_16.txt |
AC |
25 ms |
1440 KB |
| subtask1_17.txt |
AC |
25 ms |
1572 KB |
| subtask1_18.txt |
AC |
25 ms |
1572 KB |
| subtask1_19.txt |
AC |
24 ms |
1436 KB |
| subtask1_20.txt |
AC |
24 ms |
1436 KB |
| subtask2_01.txt |
AC |
24 ms |
1552 KB |
| subtask2_02.txt |
AC |
25 ms |
1432 KB |
| subtask2_03.txt |
AC |
25 ms |
1632 KB |
| subtask2_04.txt |
AC |
25 ms |
1564 KB |
| subtask2_05.txt |
AC |
26 ms |
1568 KB |
| subtask2_06.txt |
AC |
27 ms |
1688 KB |
| subtask2_07.txt |
AC |
24 ms |
1692 KB |
| subtask2_08.txt |
AC |
26 ms |
1688 KB |
| subtask2_09.txt |
AC |
25 ms |
1564 KB |
| subtask2_10.txt |
AC |
25 ms |
1692 KB |
| subtask2_11.txt |
AC |
25 ms |
1648 KB |
| subtask2_12.txt |
AC |
25 ms |
1688 KB |
| subtask2_13.txt |
AC |
25 ms |
1564 KB |
| subtask2_14.txt |
AC |
25 ms |
1568 KB |
| subtask2_15.txt |
AC |
25 ms |
1564 KB |
| subtask2_16.txt |
AC |
24 ms |
1756 KB |
| subtask2_17.txt |
AC |
25 ms |
1692 KB |
| subtask2_18.txt |
AC |
25 ms |
1560 KB |
| subtask2_19.txt |
AC |
26 ms |
1704 KB |
| subtask2_20.txt |
AC |
25 ms |
1692 KB |