#include using namespace std; template inline void chmin(T1 &a,T2 b){if(a>b) a=b;} template inline void chmax(T1 &a,T2 b){if(a struct SegmentTree{ using H = function; int n,height; H h; E ei; vector laz; SegmentTree(H h,E ei):h(h),ei(ei){} void init(int n_){ n=1;height=0; while(n>i); } void update(int a,int b,E x){ if(a>=b) return; thrust(a+=n); thrust(b+=n-1); for(int l=a,r=b+1;l>=1,r>>=1){ if(l&1) laz[l]=h(laz[l],x),l++; if(r&1) --r,laz[r]=h(laz[r],x); } } E get_val(int a){ thrust(a+=n); return laz[a]; } void set_val(int a,E x){ thrust(a+=n); laz[a]=x; } }; template struct Mint{ static constexpr T mod = MOD; T v; Mint():v(0){} Mint(signed v):v(v){} Mint(long long t){v=t%MOD;if(v<0) v+=MOD;} Mint pow(long long k){ Mint res(1),tmp(v); while(k){ if(k&1) res*=tmp; tmp*=tmp; k>>=1; } return res; } static Mint add_identity(){return Mint(0);} static Mint mul_identity(){return Mint(1);} Mint inv(){return pow(MOD-2);} Mint& operator+=(Mint a){v+=a.v;if(v>=MOD)v-=MOD;return *this;} Mint& operator-=(Mint a){v+=MOD-a.v;if(v>=MOD)v-=MOD;return *this;} Mint& operator*=(Mint a){v=1LL*v*a.v%MOD;return *this;} Mint& operator/=(Mint a){return (*this)*=a.inv();} Mint operator+(Mint a) const{return Mint(v)+=a;} Mint operator-(Mint a) const{return Mint(v)-=a;} Mint operator*(Mint a) const{return Mint(v)*=a;} Mint operator/(Mint a) const{return Mint(v)/=a;} Mint operator-() const{return v?Mint(MOD-v):Mint(v);} bool operator==(const Mint a)const{return v==a.v;} bool operator!=(const Mint a)const{return v!=a.v;} bool operator <(const Mint a)const{return v constexpr T Mint::mod; template ostream& operator<<(ostream &os,Mint m){os< void drop(const T &x){cout< struct DisjointSparseTable{ using F = function; vector< vector > dat; vector ht; const F f; DisjointSparseTable(){} DisjointSparseTable(F f):f(f){} void build(const vector &vs){ int n=vs.size(),h=1; while((1<(n)); ht.assign((1<>1]+1; for(int j=0;j=j;k--) dat[i][k]=f(vs[k],dat[i][k+1]); if(n<=t) break; dat[i][t]=vs[t]; int r=min(t+s,n); for(int k=t+1;k=--r) return dat[0][l]; return f(dat[ht[l^r]][l],dat[ht[l^r]][r]); } }; //INSERT ABOVE HERE signed main(){ cin.tie(0); ios::sync_with_stdio(0); int n; cin>>n; vector as(n); for(int i=0;i>as[i]; const int LIM = 1e9; using ll = long long; auto f=[&](int a,int b){return min((ll)a*b,(ll)LIM);}; DisjointSparseTable st(f); st.build(as); auto h=[&](int a,int b){return a+b;}; SegmentTree seg(h,0); seg.init(n); vector zs; for(int i=0;i; M ans{1}; vector bs(n+1,1); for(int i=0;i= LIM while(l+1>1; if(st.query(i,m)