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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <algorithm>
#include <array>
#include <cstddef>
#include <cstdint>
#include <iostream>
#include <map>
#include <set>
#include <vector>

using namespace std;

int main()
{
    int n, x;
    cin >> n >> x;

    vector<int> ls(n + 1);
    for (int i = 1; i <= n; i++)
    {
        cin >> ls[i];
        ls[i] += ls[i - 1];
    }

    int count = 0;
    for (int i = 0; i <= n; i++)
    {
        if (ls[i] <= x)
        {
            count++;
        }
    }
    cout << count << endl;
}