#include <bits/stdc++.h>
#include <atcoder/all>

using namespace std;
using namespace atcoder;

typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ld> vld;
typedef vector<vi> vvi;
typedef vector<vll> vvll;

#define _overload3(_1,_2,_3,name,...) name
#define _rep(i,n) repi(i,0,n)
#define repi(i,a,b) for(int i=int(a);i<int(b);++i)
#define rep(...) _overload3(__VA_ARGS__,repi,_rep,)(__VA_ARGS__)
#define _rrep(i,n) rrepi(i,n-1,-1)
#define rrepi(i,a,b) for(int i=int(a);i>int(b);--i)
#define rrep(...) _overload3(__VA_ARGS__,rrepi,_rrep)(__VA_ARGS__)

#define all(x) (x).begin(),(x).end()
#define SORT(x) sort(all(x))
#define REVERSE(x) reverse(all(x))

template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }

ostream& operator<<(ostream& os, const modint998244353& a) { return os << a.val(); }
ostream& operator<<(ostream& os, const modint1000000007& a) { return os << a.val(); }

template<class T> istream& operator>>(istream& is, vector<T>& vec) { for (T& x : vec) is >> x; return is; }
template<class T> ostream& operator<<(ostream& os, const vector<T>& vec) { for (const T& x : vec) os << x << ' '; return os; }

int main() {
    int N, X;
    cin >> N >> X;

    vll A(N);
    cin >> A;
    A.resize(2*N);
    rep(i, N, 2*N) A[i] = A[i-N];

    vll acc(2*N+1);
    rep(i, 0, 2*N) acc[i+1] = acc[i]+A[i];
    auto it = acc.begin();
    ll ans = 0;
    rep(i, N) {
        // iからとれるだけとる
        int n = upper_bound(it, it+N, *it+X) - acc.begin();
        chmax(ans, acc[n-1] - *it);
        it++;
    }
    cout << ans << endl;
}