fn main() {
    input!{
		n: usize, x: usize,
		a: [usize; n],
	}

	let mut aa = a.clone();
	for i in 0..n { aa.push(a[i]);}

	let mut acc_aa = vec![0; 2*n+1];
	for i in 0..2*n {
		acc_aa[i+1] = acc_aa[i] + aa[i];
	}

	let mut ans = 0;
	for i in 0..n {
		// +xを超えるひとつ前、n個を超えないを取得
		let mut pos = lower_bound(&acc_aa, acc_aa[i]+x+1)-1;
		pos = min(pos, i+n-1);
		dbg!(pos);

		ans = max(ans, acc_aa[pos] - acc_aa[i]);
		dbg!(acc_aa[pos], acc_aa[i]);
	}
	println!("{}", ans);

	// 二分探索
	pub fn lower_bound<T: std::cmp::PartialOrd>(vec: &Vec<T>, val: T) -> usize {
		let mut l = 0;
		let mut r = vec.len();
		while r - l > 0 {
			let m = (l + r) / 2;
			if vec[m] < val {
				l = m + 1;
			} else {
				r = m;
			}
		}
		l
	}
}
// ---------- begin input macro ----------
#[macro_export]
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

#[macro_export]
macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

#[macro_export]
macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------
#[allow(unused)]
use std::{
	io::stderr, io::stdin, io::BufRead, io::Write,
	mem::swap,
	cmp::min, cmp::max,
	cmp::Reverse,
	collections::HashSet, collections::BTreeSet,
	collections::HashMap, collections::BTreeMap,
	collections::BinaryHeap,
	collections::VecDeque,
};