Server

You are in charge of a server that needs to run some submitted tasks on a first-come, first-served basis. Each day, you can dedicate the server to run these tasks for at most $t$ minutes. Given the time each task takes, you want to know how many of them will be finished today.

Consider the following example. Assume $t=180$ and the tasks take $45,30,55,20,80$ and $20$ minutes (in order they are submitted). Then, only four tasks can be completed. The first four tasks can be completed because they take $150$ minutes, but not the first five, because they take $230$ minutes which is greater than $180$. Notice that although there is enough time to perform the sixth task (which takes $20$ minutes) after completing the fourth task, you cannot do that because the fifth task is not done yet.

Input

The first line contains two integers $n(1\le n\le 50)$ and $t(1\le t\le 500)$ where $n$ is the number of tasks. The next line contains $n$ positive integers no more than $100$ indicating how long each task takes in order they are submitted.

Output

Print the number of tasks that can be completed in $t$ minutes on a first-come, first-served basis.

Examples