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 $X$.