// #define DEBUGGING #include #define endl '\n' #define ALL(V) (V).begin(), (V).end() #define ALLR(V) (V).rbegin(), (V).rend() template using V = std::vector; template using VV = V>; using ll = std::int64_t; using ull = std::uint64_t; using PLL = std::pair; using TLL = std::tuple; 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 const T& clamp(const T &t, const T &low, const T &high) { return std::max(low, std::min(high, t)); } template void chclamp(T &t, const T &low, const T &high) { return t = clamp(t, low, high); } 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; } #define mv_rec make_v(init, tail...) template T make_v(T init) { return init; } template auto make_v(T init, size_t s, Tail... tail) { return V(s, mv_rec); } #undef mv_rec using namespace std; #ifdef DEBUGGING #include "../../debug/debug.cpp" #else #define DEBUG(...) 0 #define DEBUG_SEPARATOR_LINE 0 #endif using BS = bitset<64>; using Matrix = V; tuple gauss_elim(Matrix mat) { ll fcnt = 0; ll upper_row = 0; for(ll col = 0; col < 64; col++) { ll row = -1; for(ll r = upper_row; r < mat.size(); r++) { if(mat[r].test(col)) { row = r; break; } } if(row == -1) { fcnt++; continue; } swap(mat[upper_row], mat[row]); for(ll r = 0; r < mat.size(); r++) { if(r == upper_row) continue; if(!mat[r].test(col)) continue; mat[r] ^= mat[upper_row]; } upper_row++; } return make_tuple(mat, fcnt); } const ll inf = 5e15; int main() { ll N; cin >> N; V A(N); for(auto &&ele : A) cin >> ele; Matrix mat; for(ll i = 0; i < N; i++) { ll cur = A[i]; for(ll k = 0; k < 32; k++) { mat.push_back(BS(cur)); cur *= 2; } } Matrix ret; ll fcnt; tie(ret, fcnt) = gauss_elim(mat); ll rank = ret.size() - fcnt; while(rank < ret.size()) ret.pop_back(); V sum_v(1e5 + 10); ll sum = 0; for(ll e : A) { sum += e; sum_v[e]++; } ll idx[64]; fill(idx, idx + 64, inf); for(ll i = 0; i < ret.size(); i++) { for(ll j = 0; j < 64; j++) { if(!ret[i].test(j)) continue; chmin(idx[j], i); break; } } ll ans = inf; for(ll j = 1; j <= 1e5 + 10; j++) { { BS bs(j); for(ll k = 0; k < 32; k++) { if(!bs.test(k)) continue; if(idx[k] == inf) continue; bs ^= ret[idx[k]]; } if(bs.any()) continue; } ll tmp = sum; for(ll k = 1; j * k < sum_v.size(); k++) tmp -= sum_v[j * k] * (j * k - k); chmin(ans, tmp); } cout << ans << endl; return 0; }