#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } int main() { ll N; cin >> N; vector A(N); rep(i, N){ cin >> A[i]; } map mp; rep(i, N){ mp[A[i]]++; } ll now = 0; vector vec; for (auto it = mp.begin(); it != mp.end(); it++){ now++; vec.push_back(it->first); } vector popcnt(now, 0); rep(i, now){ for (ll j = 0; j < 30; j++){ if ((vec[i] >> j) & 1){ popcnt[i]++; } } } ll INF = 1000000000023LL; ll offset = 0; mf_graph graph(now + 2); for (ll i = 0; i < now; i++){ ll cnt = mp[vec[i]]; if (popcnt[i] % 2 == 0){ graph.add_edge(now, i, cnt); graph.add_edge(i, now + 1, 0); } else{ graph.add_edge(now, i, 0); graph.add_edge(i, now + 1, cnt); } offset += cnt; } for (ll i = 0; i < now; i++){ for (ll j = i + 1; j < now; j++){ ll v = vec[i] ^ vec[j]; bool pow_2 = false; rep(k, 30){ if (v == (1 << k)){ pow_2 = true; } } if (pow_2){ if (popcnt[i] % 2 == 0){ graph.add_edge(i, j, INF); } else{ graph.add_edge(j, i, INF); } } } } ll fl = graph.flow(now, now + 1); // debug_out(offset, fl); cout << offset - fl << endl; }