#pragma region template #pragma GCC optimize("Ofast") #include using namespace std; using ll=long long; using ld=long double; using vi=vector; using vll=vector; using pi=pair; using pll=pair; #define overload2(a,b,c,...) c #define overload3(a,b,c,d,...) d #define overload4(a,b,c,d,e,...) e #define overload5(a,b,c,d,e,f,...) f #define TYPE1(T) template #define TYPE2(T,U) template #define TYPE(...) overload2(__VA_ARGS__,TYPE2,TYPE1)(__VA_ARGS__) #define TYPES1(T) template #define TYPES2(H,T) template #define TYPES(...) overload2(__VA_ARGS__,TYPES2,TYPES1)(__VA_ARGS__) #define REP4(i,s,n,d) for(int i=(s);i<(n);i+=(d)) #define REP3(i,s,n) REP4(i,s,n,1) #define REP2(i,n) REP3(i,0,n) #define REP1(n) REP2(tomato,n) #define REP(...) overload4(__VA_ARGS__,REP4,REP3,REP2,REP1)(__VA_ARGS__) #define RREP4(i,n,s,d) for(int i=(n)-1;i>=s;i-=d) #define RREP3(i,n,s) RREP4(i,n,s,1) #define RREP2(i,n) RREP3(i,n,0) #define RREP1(n) RREP2(tomato,n) #define RREP(...) overload4(__VA_ARGS__,RREP4,RREP3,RREP2,RREP1)(__VA_ARGS__) #define FOR4(a,b,c,d,v) for(auto [a,b,c,d]:v) #define FOR3(a,b,c,v) for(auto [a,b,c]:v) #define FOR2(a,b,v) for(auto [a,b]:v) #define FOR1(a,v) for(auto a:v) #define FOR(...) overload5(__VA_ARGS__,FOR4,FOR3,FOR2,FOR1)(__VA_ARGS__) #define AFOR4(a,b,c,d,v) for(auto&[a,b,c,d]:v) #define AFOR3(a,b,c,v) for(auto&[a,b,c]:v) #define AFOR2(a,b,v) for(auto&[a,b]:v) #define AFOR1(a,v) for(auto&a:v) #define AFOR(...) overload5(__VA_ARGS__,AFOR4,AFOR3,AFOR2,AFOR1)(__VA_ARGS__) #define CFOR4(a,b,c,d,v) for(const auto&[a,b,c,d]:v) #define CFOR3(a,b,c,v) for(const auto&[a,b,c]:v) #define CFOR2(a,b,v) for(const auto&[a,b]:v) #define CFOR1(a,v) for(const auto&a:v) #define CFOR(...) overload5(__VA_ARGS__,CFOR4,CFOR3,CFOR2,CFOR1)(__VA_ARGS__) #define ALL(v) v.begin(),v.end() #define RALL(v) v.rbegin(),v.rend() #define SORT(v) sort(ALL(v)) #define RSORT(v) sort(RALL(v)) #define REVERSE(v) reverse(ALL(v)) #define UNIQUE(v) SORT(v),v.erase(unique(ALL(v)),v.end()) TYPES(T) void input(T&... a){ (cin>>...>>a); } #define DECLARE(T,...) T __VA_ARGS__;input(__VA_ARGS__); #define INT(...) DECLARE(int,__VA_ARGS__) #define STR(...) DECLARE(string,__VA_ARGS__) #define LL(...) DECLARE(long long,__VA_ARGS__) #define CHR(...) DECLARE(char,__VA_ARGS__) #define DBL(...) DECLARE(double,__VA_ARGS__) #define VI(n,v) vi v(n);cin>>v; #define VLL(n,v) vll v(n);cin>>v; TYPE(T) istream&operator>>(istream&is,vector&v){ for(auto&a:v)cin>>a; return is; } TYPE(T) ostream&operator<<(ostream&os,const vector&v){ if(&os==&cerr)os<<"["; REP(i,v.size()){ os<>(istream&is,pair&p){ cin>>p.first>>p.second; return is; } #ifdef __LOCAL #include #else #define debug(...) void(0) #endif void print(){ cout << '\n'; } TYPES(T,Ts) void print(const T& a,const Ts&... b){ cout<; TYPE(T) using pqg=priority_queue,greater>; TYPE(T) T pick(queue& que){assert(que.size()); T a=que.front();que.pop();return a;} TYPE(T) T pick(pq& que){assert(que.size()); T a=que.top();que.pop();return a;} TYPE(T) T pick(pqg& que){assert(que.size()); T a=que.top();que.pop();return a;} TYPE(T) T pick(stack& sta){assert(sta.size()); T a=sta.top();sta.pop();return a;} string YES(bool f=true){return (f?"YES":"NO");} string Yes(bool f=true){return (f?"Yes":"No");} string yes(bool f=true){return (f?"yes":"no");} constexpr int INF=1e9+7; constexpr ll LINF=ll(1e18)+7; constexpr ld EPS=1e-10; vi iota(int n){vi a(n);iota(ALL(a),0);return a;} TYPE(T) vector> query_sort(const vector&v){ vector> res(v.size()); REP(i,v.size())res[i]={v[i],i}; SORT(res); return res; } TYPE(T) T rev(T a){ REVERSE(a);return a; } TYPE(T) void fin(T a){cout<b&&(a=b,true));} TYPES(T,Ns) auto make_vector(T x,int n,Ns ...ns){ if constexpr(sizeof...(ns)==0)return vector(n,x); else return vector(n,make_vector(x,ns...)); } bool in(const ll S,const int a){return (S>>a)&1;} int popcount(const ll S){return __builtin_popcountll(S);} int digit(char c){ return (c>='0' and c<='9' ? c-'0' : -1);} #pragma endregion template #line 2 "datastructure/FullyIndexableDictionary.cpp" class FullyIndexableDictionary{ int n, block; // 64個事に区切ったブロックの個数 vector bit; vector sum; // ブロック毎の累積和 bool prepared; public: FullyIndexableDictionary(){} FullyIndexableDictionary(int n) :n(n),block((n+63)>>6),bit(block,0),sum(block+1,0),prepared(false){} bool is_prepared(){ return prepared; } void set(int k){ bit[k>>6]|=1ull<<(k&63); sum[(k>>6)+1]++; } void build(){ assert(!prepared); prepared=true; for(int i=0;i>6]>>(k&63))&1); } // [0,j) の合計 int rank(int j,bool f=1){ assert(prepared); int a=sum[j>>6]+__builtin_popcountll(bit[j>>6]&((1ull<<(j&63))-1)); return (f?a:j-a); } // 0-indexed で k 番目の f の場所 int select(int k,bool f=1){ assert(prepared); if(k<0 or rank(n,f)<=k)return -1; int l=0,r=n; while(r-l>1){ int m=(l+r)>>1; (rank(m,f)>=k+1?r:l)=m; } return r-1; } // l以上で k 番目の f の場所 int select(int k,bool f,int l){ return select(rank(l,f)+k,f); } }; #line 3 "datastructure/WaveletMatrix.cpp" #define REP_(i,n) for(int i=0;i<(n);i++) template class WaveletMatrix{ int n; array mat; array zero_cnt; int memo; // 0-indexed で下から i bit 目 static constexpr bool low_bit (const T&a,int i){ return (a>>i)&1; } // 0-indexed で上から i bit 目 static constexpr bool high_bit(const T&a,int i){ return low_bit(a,LOG-i-1); } int nxt(int idx,int h,const T&a){ // idx の位置に a があった場合上から h bit 目でどこに行くか bool bit=high_bit(a,h); return mat[h].rank(idx,bit)+(bit?zero_cnt[h]:0); } public: WaveletMatrix(vector v):n(v.size()){ for(const T&p:v) assert(0<=p and p<(1ull< lv(n),rv(n); REP_(h,LOG){ mat[h]=FullyIndexableDictionary(n); int l=0,r=0; REP_(i,n) if(high_bit(v[i],h)){ rv[r++]=v[i]; mat[h].set(i); } else lv[l++]=v[i]; zero_cnt[h]=l; mat[h].build(); swap(lv,v); REP_(i,r)v[l+i]=rv[i]; } } // [l,r) の a の個数 int rank(T a,int l,int r){ REP_(h,LOG){ l=nxt(l,h,a); r=nxt(r,h,a); } memo=l; return r-l; } int rank(T a,int r){ return rank(a,0,r); } // k 番目の a の index int select(T a,int k){ if(rank(a,n)=0;h--){ bool bit=high_bit(a,h); if(bit)k-=zero_cnt[h]; k=mat[h].select(k,bit); } return k; } // [l,r) で 0-indexed k 番目に大きい値 T kth_largest(int l,int r,int k){ if(k<0 or r-l<=k) return -1; T res=0; REP_(h,LOG){ int L=mat[h].rank(l); int R=mat[h].rank(r); res<<=1; if(R-L>k){ l=L+zero_cnt[h]; r=R+zero_cnt[h]; res++; } else{ k-=R-L; l-=L; r-=R; } } return res; } T kth_smallest(int l,int r,int k){ return kth_largest(l,r,r-l-k-1); } }; #undef REP_ int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int n;cin>>n; vector v(n); for(int i=0;i>v[i]; REP(i,n)v[i]+=INF; debug(v); WaveletMatrix WM(v); ll ans=0; for(int k=1;k<=n;k++){ vector pre{0}; for(int i=0;i+k<=n;i+=k){ // [i,i+k) の中央値を求める ll b=WM.kth_smallest(i,i+k,(k-1)/2); pre.push_back(pre.back()+(b-INF)*k); } REP(i,pre.size()-1)chmax(pre[i+1],pre[i]); chmax(ans,pre.back()); if(n%k==0)continue; int r=n,id=pre.size()-1; ll sum=0; while(r-k>=0){ ll b=WM.kth_smallest(r-k,r,(k-1)/2); sum+=(b-INF)*k; chmax(ans,pre[--id]+sum); r-=k; } } cout<