#include using namespace std; using int64 = long long; const int mod = 1e9 + 7; const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } #include using namespace __gnu_pbds; template< class T > struct BinaryIndexedTree { vector< T > data; BinaryIndexedTree(int sz) { data.assign(++sz, 0); } T sum(int k) { T ret = 0; for(++k; k > 0; k -= k & -k) ret += data[k]; return (ret); } void add(int k, T x) { for(++k; k < data.size(); k += k & -k) data[k] += x; } }; int main() { int N; cin >> N; vector< int > Y(N); cin >> Y; if(set< int >(Y.begin(), Y.end()).size() == 1) { cout << 1 << endl; return 0; } sort(begin(Y), end(Y)); vector< int64 > sufmid(N); using pi = pair< int, int >; tree< pi, null_type, less<>, rb_tree_tag, tree_order_statistics_node_update > st; for(int i = N - 1, sz = 0; i >= 0; i--) { ++sz; st.insert(pi(Y[i], i)); auto it = st.find_by_order(sz / 2); sufmid[i] = it->first; } vector< int64 > premid(N); st.clear(); for(int i = 0, sz = 0; i < N; i++) { ++sz; st.insert(pi(Y[i], i)); auto it = st.find_by_order(sz / 2); premid[i] = it->first; } vector< int > xs(Y); sort(begin(xs), end(xs)); xs.erase(unique(begin(xs), end(xs)), end(xs)); BinaryIndexedTree< int64 > bit1(N), bit2(N), bit3(N), bit4(N); for(int i = 0; i < N; i++) { int pos = lower_bound(begin(xs), end(xs), Y[i]) - begin(xs); bit2.add(pos, Y[i]); bit4.add(pos, 1); } int64 ret = infll; for(int i = 0; i + 1 < N; i++) { int pos = lower_bound(begin(xs), end(xs), Y[i]) - begin(xs); bit1.add(pos, Y[i]); bit3.add(pos, 1); bit2.add(pos, -Y[i]); bit4.add(pos, -1); int pre = lower_bound(begin(xs), end(xs), premid[i]) - begin(xs); int nxt = lower_bound(begin(xs), end(xs), sufmid[i + 1]) - begin(xs); if(premid[i] == sufmid[i + 1]) continue; int64 add = 0; add += bit3.sum(pre) * premid[i]; add -= bit1.sum(pre); add -= (bit3.sum(xs.size() - 1) - bit3.sum(pre)) * premid[i]; add += bit1.sum(xs.size() - 1) - bit1.sum(pre); add += bit4.sum(nxt) * sufmid[i + 1]; add -= bit2.sum(nxt); add -= (bit4.sum(xs.size() - 1) - bit4.sum(nxt)) * sufmid[i + 1]; add += bit2.sum(xs.size() - 1) - bit2.sum(nxt); chmin(ret, add); } cout << ret << endl; }