#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define endl codeforces #define ALL(v) std::begin(v), std::end(v) #define ALLR(v) std::rbegin(v), std::rend(v) using ll = std::int64_t; using ull = std::uint64_t; using pii = std::pair; using tii = std::tuple; using pll = std::pair; using tll = std::tuple; using size_type = ssize_t; template using vec = std::vector; template using vvec = vec>; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template struct multi_dim_array { using type = std::array::type, Head>; }; template struct multi_dim_array { using type = std::array; }; template using mdarray = typename multi_dim_array::type; template void fill_seq(T &t, F f, Args... args) { if constexpr (std::is_invocable::value) { t = f(args...); } else { for (size_type i = 0; i < t.size(); i++) fill_seq(t[i], f, args..., i); } } template vec make_v(size_type sz) { return vec(sz); } template auto make_v(size_type hs, Tail&&... ts) { auto v = std::move(make_v(std::forward(ts)...)); return vec(hs, v); } namespace init__ { struct InitIO { InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } } init_io; } template T ceil_pow2(T bound) { T ret = 1; while (ret < bound) ret *= 2; return ret; } template T ceil_div(T a, T b) { return a / b + !!(a % b); } struct Node { std::array cnt; ll idx0, idx1; ll sum; Node() : idx0(-1), idx1(-1), sum(0) { std::fill(ALL(cnt), 0); } void init() { std::fill(ALL(cnt), 0); sum = 0; } }; std::array nodes; ll node_idx = 1; auto root = &nodes[0]; Node* get_node(Node *cur, bool f) { if (!f) { if (cur->idx0 != -1) return &nodes[cur->idx0]; else return nullptr; } else { if (cur->idx1 != -1) return &nodes[cur->idx1]; else return nullptr; } } void insert(Node *cur, ll shift, ll num) { if (shift == -1) { cur->sum++; for (ll i = 0; i < 19; i++) { ll mask = 1ll << i; if (!(mask & num)) continue; cur->cnt[i]++; } return; } ll mask = 1ll << shift; if (!(num & mask)) { if (cur->idx0 == -1) cur->idx0 = node_idx++; insert(get_node(cur, 0), shift - 1, num); } else { if (cur->idx1 == -1) cur->idx1 = node_idx++; insert(get_node(cur, 1), shift - 1, num); } cur->init(); auto merge = [&](Node *n) { if (!n) return; for (ll i = 0; i < 19; i++) cur->cnt[i] += n->cnt[i]; cur->sum += n->sum; }; merge(get_node(cur, 0)); merge(get_node(cur, 1)); } void insert(ll num) { insert(root, 18, num); } int main() { ll n, x; std::cin >> n >> x; vec av(n); for (ll &e : av) std::cin >> e; ll ans = 0; for (ll e : av) { std::array cnt; std::fill(ALL(cnt), 0); ll sum = 0; auto cur = root; auto merge = [&](Node *n) { if (!n) return; for (ll i = 0; i < 19; i++) cnt[i] += n->cnt[i]; sum += n->sum; }; bool add = true; for (ll i = 18; 0 <= i; i--) { if (!cur) break; ll mask = 1ll << i; if (x & mask) { if (e & mask) { merge(get_node(cur, 1)); cur = get_node(cur, 0); } else { merge(get_node(cur, 0)); cur = get_node(cur, 1); } } else { if (e & mask) { cur = get_node(cur, 1); } else { cur = get_node(cur, 0); } } if (i == 0) add = false; } if (add) merge(cur); for (ll i = 0; i < 19; i++) { ll mask = 1ll << i; if (e & mask) chmax(cnt[i], sum); ans += mask * cnt[i]; } insert(e); } std::cout << ans << "\n"; return 0; }