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# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Collections.Generic;
namespace AtCoder
{
    class Abc162F
    {

        public static void Main()
        {
            var input = Console.ReadLine().Split(' ');

            var n = int.Parse(input[0]);
            var x = int.Parse(input[1]);
            //var n = int.Parse(Console.ReadLine());

            var xx = Console.ReadLine().Split(' ').Select(y => int.Parse(y)).ToArray();

            int[] dp = new int[n + 1];
            dp[0] = 0;
            int i = 1;
            int count = 0;
            while (dp[i] <= x)
            {
                count++;
                dp[i] = dp[i - 1] + xx[i - 1];
            }

            Console.Write(count);

            Console.WriteLine();

        }


    }
}