Problem:
Score : 200 points

Problem Statement

A ball will bounce along a number line, making N + 1 bounces. It will make the first bounce at coordinate D_1 = 0, and the i-th bounce (2 \leq i \leq N+1) at coordinate D_i = D_{i-1} + L_{i-1}.

How many times will the ball make a bounce where the coordinate is at most X?

Constraints

1 \leq N \leq 100

1 \leq L_i \leq 100

1 \leq X \leq 10000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N X
L_1 L_2 ... L_{N-1} L_N

Output

Print the number of times the ball will make a bounce where the coordinate is at most X.

Sample Input 1

3 6
3 4 5

Sample Output 1

2

The ball will make a bounce at the coordinates 0, 3, 7 and 12, among which two are less than or equal to 6.

Sample Input 2

4 9
3 3 3 3

Sample Output 2

4

The ball will make a bounce at the coordinates 0, 3, 6, 9 and 12, among which four are less than or equal to 9.

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

-- https://github.com/minoki/my-atcoder-solutions
import Data.Char (isSpace)
import Data.List (unfoldr)
import qualified Data.Vector.Unboxed as U
import qualified Data.ByteString.Char8 as BS

main = do
  [n,x] <- unfoldr (BS.readInt . BS.dropWhile isSpace) <$> BS.getLine
  ys <- U.unfoldrN n(BS.readInt . BS.dropWhile isSpace) <$> BS.getLine
  let zs = U.scanl' (+) 0 ys
  print $ U.length $ U.takeWhile (<= x) zs