#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } int popcount(long long n) { n = (n & 0x5555555555555555) + (n >> 1 & 0x5555555555555555); n = (n & 0x3333333333333333) + (n >> 2 & 0x3333333333333333); n = (n & 0x0f0f0f0f0f0f0f0f) + (n >> 4 & 0x0f0f0f0f0f0f0f0f); n = (n & 0x00ff00ff00ff00ff) + (n >> 8 & 0x00ff00ff00ff00ff); n = (n & 0x0000ffff0000ffff) + (n >> 16 & 0x0000ffff0000ffff); n = (n & 0x00000000ffffffff) + (n >> 32 & 0x00000000ffffffff); return n; } /* 二部グラフの最大マッチング = 最小頂点被覆 ・最小頂点被覆 すべての辺が選択した頂点から伸びているように頂点を選ぶ際の最小個数 */ struct BipartiteMatching { vector< vector< int > > graph; vector< int > match, alive, used; int timestamp; BipartiteMatching(int n) : graph(n), alive(n, 1), used(n, 0), match(n, -1), timestamp(0) {} void add_edge(int u, int v) { graph[u].push_back(v); graph[v].push_back(u); } bool dfs(int idx) { used[idx] = timestamp; for (auto &to : graph[idx]) { int to_match = match[to]; if (alive[to] == 0) continue; if (to_match == -1 || (used[to_match] != timestamp && dfs(to_match))) { match[idx] = to; match[to] = idx; return true; } } return false; } int bipartite_matching() { int ret = 0; for (int i = 0; i < graph.size(); i++) { if (alive[i] == 0) continue; if (match[i] == -1) { ++timestamp; ret += dfs(i); } } return ret; } void output() { for (int i = 0; i < graph.size(); i++) { if (i < match[i]) { cout << i << "-" << match[i] << endl; } } } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; vectora(n); //二部グラフの最大マッチング = 最小頂点被覆 BipartiteMatching g(n); rep(i, n)cin >> a[i]; rep(i, n)rep2(j, i + 1, n) { int x = a[i] ^ a[j]; if (1 == popcount(x)) { g.add_edge(i, j); } } int ans = n; ans -= g.bipartite_matching(); cout << ans << endl; return 0; }