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 <cstdio>
#include <cstdlib>
#include <cmath>

#include <iostream>

#include <string>
#include <vector>
#include <algorithm>

#define rep(index,num) for(int index=0;index<num;++index)

using namespace std;

int X,N;
int L[101];

int solve(int X,int N){
  int count = 0;
  int D = 0;
  while(D <= X && count < N+1){
    D = D + L[count++];
    //cout << count << " " << D << endl;
  }
  return count;
}

int main(){
  std::cin >> N >> X;
  rep(i,N) cin >> L[i];

  cout << solve(X,N)<< endl;
  return 0;
}