Problem:
Score : 300 points

Problem Statement

Given is a permutation P_1, \ldots, P_N of 1, \ldots, N.
Find the number of integers i (1 \leq i \leq N) that satisfy the following condition:

For any integer j (1 \leq j \leq i), P_i \leq P_j.

Constraints

1 \leq N \leq 2 \times 10^5

P_1, \ldots, P_N is a permutation of 1, \ldots, N.

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
P_1 ... P_N

Output

Print the number of integers i that satisfy the condition.

Sample Input 1

5
4 2 5 1 3

Sample Output 1

3

i=1, 2, and 4 satisfy the condition, but i=3 does not - for example, P_i > P_j holds for j = 1.

Similarly, i=5 does not satisfy the condition, either. Thus, there are three integers that satisfy the condition.

Sample Input 2

4
4 3 2 1

Sample Output 2

4

All integers i (1 \leq i \leq N) satisfy the condition.

Sample Input 3

6
1 2 3 4 5 6

Sample Output 3

1

Only i=1 satisfies the condition.

Sample Input 4

8
5 7 4 2 6 8 1 3

Sample Output 4

4

Sample Input 5

1
1

Sample Output 5

1

Solution in Haskell (GHC 7.10.3) (judge verdict: Accepted)

import Control.Monad
import qualified Data.ByteString.Char8 as BS
import Data.List
import Data.Maybe
import Data.Ord
import qualified Data.Vector as VC
import qualified Data.Vector.Mutable as VM

readNums :: IO [Integer]
readNums = map (fst . fromJust . BS.readInteger) . BS.words <$> BS.getLine

readNumLists :: Int -> IO [[Integer]]
readNumLists n = replicateM n (map (fst . fromJust . BS.readInteger) . BS.words <$> BS.getLine)

readStrings :: IO [String]
readStrings = map BS.unpack . BS.words <$> BS.getLine

readStringLists :: Int -> IO [[String]]
readStringLists n = replicateM n (map BS.unpack . BS.words <$> BS.getLine)

toTuple :: [a] -> (a, a)
toTuple (x:y:_) = (x, y)

p s = putStr (show s ++ " ")

main :: IO ()
main = do
  (n:_) <- readNums
  p <- readNums
  print $ solve p

solve p = f (head p) 0 p
  where
    f acc m [] = m
    f acc m (x:xs)
      | acc >= x = f x (m + 1) xs
      | otherwise = f acc m xs