B - Bounding

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 $X$.

3 6
3 4 5

2

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

4 9
3 3 3 3

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 $9$.