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 Ruby (2.3.3) (judge verdict: Wrong Answer)

a = gets.split
n = a[0].to_i
x = a[1].to_i
answer = 0

bound = []
t = 1

b = gets.split
bound[0] = 0
bound[1] = b[0]

n-2.times do
  bound[t+1] = b[t].to_i + b[t-1].to_i
end

t = 0

n.times do
  if x - bound[t].to_i >= 0
    answer += 1
    t += 1
  end
end

puts answer