// includes #include using namespace std; // macros #define pb emplace_back #define mk make_pair #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr) #define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr) #define whole(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define bit(n) (1LL<<(n)) // functions template void unique(T& c){c.erase(std::unique(c.begin(), c.end()), c.end());} template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} template ostream &operator<<(ostream &os, const vector& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;} template ostream &operator<<(ostream &os, const set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const pair &p){os << "(" << p.first << ", " << p.second << ")"; return os;} template ostream &operator<<(ostream &os, const map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << "(" << itr->first << ", " << itr->second << ")"; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template ostream &operator<<(ostream &os, const unordered_map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << "(" << itr->first << ", " << itr->second << ")"; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} // types using ll = long long int; using P = pair; // constants const int inf = 1e9; const ll linf = numeric_limits::max() / 10; const double EPS = 1e-10; const int mod = 1000000007; const int dx[4] = {-1, 0, 1, 0}; const int dy[4] = {0, -1, 0, 1}; // io struct fast_io{ fast_io(){ios_base::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20);} } fast_io_; const int b = 200000; ll dp[110][b+10]; int main(int argc, char const* argv[]) { int n; cin >> n; ll V; cin >> V; vector c(n); cin >> c; vector acc = c; FOR(i, 1, n){ acc[i] += acc[i-1]; } ll res = acc.back(); V -= n; vector e(n); rep(i, n)e[i] = i; sort(whole(e), [&](int i, int j){ // acc[i] / (i + 1) < acc[j] / (j + 1) return acc[i] * (j + 1) < acc[j] * (i + 1); }); if(V > b){ ll rem = (V - b + e[0]) / (e[0] + 1); V -= rem * (e[0] + 1); res += acc[e[0]] * rem; } rep(i, n + 1){ rep(j, b + 1)dp[i][j] = linf; } dp[0][0] = 0; rep(i, n){ rep(j, b + 1){ dp[i+1][j] = dp[i][j]; if(j>=i+1)chmin(dp[i+1][j], dp[i+1][j-(i+1)] + acc[i]); } } for(int i = b - 1; i >= 0; i--)chmin(dp[n][i], dp[n][i+1]); if(V > 0){ res += dp[n][V]; } cout << res << endl; return 0; }