#line 1 "c.cpp" #include #include #define rep(i,n) for (int i = 0; i < int(n); ++i) #define repp(i,m,n) for (int i = m; i < int(n); ++i) #define reb(i,n) for (int i = int(n)-1; i >= 0; --i) #define all(v) v.begin(),v.end() using namespace std; using namespace atcoder; using ll = long long; using ull = unsigned long long; using ld = long double; using P = pair; using PL = pair; using pdd = pair; using pil = pair; using pli = pair; templateistream &operator>>(istream &is,vector &v){for(auto &e:v)is>>e;return is;} templatebool range(T a,T b,T x){return (a<=x&&xbool rrange(T a,T b,T c,T d,T x,T y){return (range(a,c,x)&&range(b,d,y));} template T rev(const T& str_or_vec){T res = str_or_vec; reverse(res.begin(),res.end()); return res; } templatebool chmin(T &a,const T &b){if(a>b){a=b;return true;}return false;} templatebool chmax(T &a,const T &b){if(avoid uniq(vector &v){sort(v.begin(),v.end());v.erase(unique(v.begin(),v.end()),v.end());} templatevoid print(pair a); templatevoid print(vector v); templatevoid print(vector> v); void print(){ putchar(' '); } void print(bool a){ printf("%d", a); } void print(int a){ printf("%d", a); } void print(long a){ printf("%ld", a); } void print(long long a){ printf("%lld", a); } void print(char a){ printf("%c", a); } void print(char a[]){ printf("%s", a); } void print(const char a[]){ printf("%s", a); } void print(long double a){ printf("%.15Lf", a); } void print(const string& a){ for(auto&& i : a) print(i); } void print(unsigned int a){ printf("%u", a); } void print(unsigned long long a) { printf("%llu", a); } template void print(const T& a){ cout << a; } int out(){ putchar('\n'); return 0; } template int out(const T& t){ print(t); putchar('\n'); return 0; } template int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; } templatevoid print(pair a){print(a.first);print(),print(a.second);} templatevoid print(vector v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())print();}} templatevoid print(vector> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())out();}} void yes(){out("Yes");} void no (){out("No");} void yn (bool t){if(t)yes();else no();} void fast_io(){cin.tie(0); ios::sync_with_stdio(0); cout< dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; } // namespace noya2 using namespace noya2; using mint = modint998244353; //using mint = modint1000000007; //using mint = modint; void out(mint a){out(a.val());} void out(vector a){vector b(a.size()); rep(i,a.size()) b[i] = a[i].val(); out(b);} void out(vector> a){for (auto v : a) out(v);} #line 2 "SlopeTrick.hpp" #line 4 "SlopeTrick.hpp" namespace noya2{ using namespace std; template< typename T > struct SlopeTrick { const T INF = numeric_limits< T >::max() / 3; T min_f; priority_queue< T, vector< T >, less<> > L; priority_queue< T, vector< T >, greater<> > R; T add_l, add_r; void push_R(const T& a) { R.push(a - add_r); } T top_R() const { if (R.empty()) return INF; else return R.top() + add_r; } T pop_R() { T val = top_R(); if (not R.empty()) R.pop(); return val; } void push_L(const T& a) { L.push(a - add_l); } T top_L() const { if (L.empty()) return -INF; else return L.top() + add_l; } T pop_L() { T val = top_L(); if (not L.empty()) L.pop(); return val; } size_t size() { return L.size() + R.size(); } SlopeTrick() : min_f(0), add_l(0), add_r(0) {} // f(x) += a void add_all(const T& a) { min_f += a; } // add \_ // f(x) += max(a - x, 0) void add_a_minus_x(const T& a) { min_f += max(T(0), a - top_R()); push_R(a); push_L(pop_R()); } // add _/ // f(x) += max(x - a, 0) void add_x_minus_a(const T& a) { min_f += max(T(0), top_L() - a); push_L(a); push_R(pop_L()); } // add \/ // f(x) += abs(x - a) void add_abs(const T& a) { add_a_minus_x(a); add_x_minus_a(a); } // \/ -> \_ // f_{new} (x) = min f(y) (y <= x) void clear_right() { while (not R.empty()) R.pop(); } // \/ -> _/ // f_{new} (x) = min f(y) (y >= x) void clear_left() { while (not L.empty()) L.pop(); } // \/ -> \_/ // f_{new} (x) = min f(y) (x-b <= y <= x-a) void shift(const T& a, const T& b) { assert(a <= b); add_l += a; add_r += b; } // \/. -> .\/ // f_{new} (x) = f(x - a) void shift(const T& a) { shift(a, a); } // L, R を破壊する T get(const T& x) { T ret = min_f; while (not L.empty()) { ret += max(T(0), pop_L() - x); } while (not R.empty()) { ret += max(T(0), x - pop_R()); } return ret; } void merge(SlopeTrick& st) { if (st.size() > size()) { swap(st.L, L); swap(st.R, R); swap(st.add_l, add_l); swap(st.add_r, add_r); swap(st.min_f, min_f); } while (not st.R.empty()) { add_x_minus_a(st.pop_R()); } while (not st.L.empty()) { add_a_minus_x(st.pop_L()); } min_f += st.min_f; } }; } // namespace noya2 #line 77 "c.cpp" void solve(){ int n; cin >> n; vector a(n); cin >> a; sort(all(a)); SlopeTrick slt; rep(i,n){ slt.shift(1); slt.clear_right(); slt.add_abs(a[i]); } out(slt.min_f); } int main(){ fast_io(); int t = 1; //cin >> t; while(t--) solve(); }