#include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define FOR(i, begin, end) for (int i = (begin), i##_end_ = (end); i < i##_end_; i++) #define IFOR(i, begin, end) for (int i = (end)-1, i##_begin_ = (begin); i >= i##_begin_; i--) #define REP(i, n) FOR(i, 0, n) #define IREP(i, n) IFOR(i, 0, n) #define ALL(x) (x).begin(), (x).end() // template void ndarray(vector& vec, const V& val, int len) { vec.assign(len, val); } template void ndarray(vector& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); } template bool chmax(T& m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T& m, const T q) { return m > q ? (m = q, true) : false; } template pair operator+(const pair& l, const pair& r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair& l, const pair& r) { return make_pair(l.first - r.first, l.second - r.second); } template vector srtunq(vector vec) { return sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()), vec; } template istream& operator>>(istream& is, vector& vec) { return for_each(begin(vec), end(vec), [&](T& v) { is >> v; }), is; } // output template ostream& dmpseq(ostream&, const T&, const string&, const string&, const string&); #if __cplusplus >= 201703L template ostream& operator<<(ostream& os, const tuple& tpl) { return apply([&os](auto&&... args) { ((os << args << ','), ...); }, tpl), os; } #endif // template ostream& operator<<(ostream& os, const pair& p) { return os << '(' << p.first << ',' << p.second << ')'; } template ostream& operator<<(ostream& os, const vector& x) { return dmpseq, T>(os, x, "[", ",", "]"); } template ostream& operator<<(ostream& os, const deque& x) { return dmpseq, T>(os, x, "deq[", ",", "]"); } template ostream& operator<<(ostream& os, const set& x) { return dmpseq, T>(os, x, "{", ",", "}"); } template ostream& operator<<(ostream& os, const unordered_set& x) { return dmpseq, T>(os, x, "{", ",", "}"); } template ostream& operator<<(ostream& os, const multiset& x) { return dmpseq, T>(os, x, "{", ",", "}"); } template ostream& operator<<(ostream& os, const map& x) { return dmpseq, pair>(os, x, "{", ",", "}"); } template ostream& operator<<(ostream& os, const unordered_map& x) { return dmpseq, pair>(os, x, "{", ",", "}"); } template ostream& dmpseq(ostream& os, const T& seq, const string& pre, const string& sp, const string& suf) { return os << pre, for_each(begin(seq), end(seq), [&](V x) { os << x << sp; }), os << suf; } template void print(const vector& x) { dmpseq, T>(cout, x, "", " ", "\n"); } #ifdef HITONANODE_LOCAL constexpr int D = 9; #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl #else constexpr int D = 18; #define dbg(x) {} #endif int main() { int N, X; cin >> N >> X; vector ch0 { -1 }, ch1 { -1 }, par { -1 }, cnt { 0 }; vector dcnt(1, vector(D, 0)); auto new_node = [&](int now) -> int { int ret = ch0.size(); ch0.emplace_back(-1); ch1.emplace_back(-1); par.emplace_back(now); cnt.emplace_back(0); dcnt.emplace_back(D, 0); return ret; }; lint ret = 0; while (N--) { int a; cin >> a; { int now = 0; int val = 0; IREP(d, D) { if (now < 0) break; const int tgt = (X >> d) & 1; const int k = (a >> d) & 1; if (tgt == 1) { int c = (k ? ch1[now] : ch0[now]); if (c >= 0) { REP(dd, D) { ret += (1LL << dd) * (((a >> dd) & 1) ? cnt[c] : dcnt[c][dd]); } } } if (k == tgt) val += 1 << d; now = (k == tgt ? ch0[now] : ch1[now]); } } { int now = 0; IREP(d, D) { int k = (a >> d) & 1; int nxt = k ? ch1[now] : ch0[now]; if (nxt < 0) { nxt = new_node(now); (k ? ch1[now] : ch0[now]) = nxt; } now = nxt; } while (now >= 0) { cnt[now]++; REP(d, D) dcnt[now][d] += (a >> d) & 1; now = par[now]; } } } cout << ret << '\n'; }