Please, try EDU on Codeforces! New educational section with videos, subtitles, texts, and problems.
×

Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

B. Books

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputWhen Valera has got some free time, he goes to the library to read some books. Today he's got *t* free minutes to read. That's why Valera took *n* books in the library and for each book he estimated the time he is going to need to read it. Let's number the books by integers from 1 to *n*. Valera needs *a* _{ i} minutes to read the *i*-th book.

Valera decided to choose an arbitrary book with number *i* and read the books one by one, starting from this book. In other words, he will first read book number *i*, then book number *i* + 1, then book number *i* + 2 and so on. He continues the process until he either runs out of the free time or finishes reading the *n*-th book. Valera reads each book up to the end, that is, he doesn't start reading the book if he doesn't have enough free time to finish reading it.

Print the maximum number of books Valera can read.

Input

The first line contains two integers *n* and *t* (1 ≤ *n* ≤ 10^{5}; 1 ≤ *t* ≤ 10^{9}) — the number of books and the number of free minutes Valera's got. The second line contains a sequence of *n* integers *a* _{1}, *a* _{2}, ..., *a* _{ n} (1 ≤ *a* _{ i} ≤ 10^{4}), where number *a* _{ i} shows the number of minutes that the boy needs to read the *i*-th book.

Output

Print a single integer — the maximum number of books Valera can read.

Examples

Input

4 5

3 1 2 1

Output

3

Input

3 3

2 2 3

Output

1

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jul/05/2020 21:13:42 (h3).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|