#include #define pb push_back #define eb emplace_back #define fi first #define se second #define rep(i,N) for(long long i = 0; i < (long long)(N); i++) #define repr(i,N) for(long long i = (long long)(N) - 1; i >= 0; i--) #define rep1(i,N) for(long long i = 1; i <= (long long)(N) ; i++) #define repr1(i,N) for(long long i = (N) ; (long long)(i) > 0 ; i--) #define each(x,v) for(auto& x : v) #define all(v) (v).begin(),(v).end() #define sz(v) ((int)(v).size()) #define ini(...) int __VA_ARGS__; in(__VA_ARGS__) #define inl(...) long long __VA_ARGS__; in(__VA_ARGS__) #define ins(...) string __VA_ARGS__; in(__VA_ARGS__) using namespace std; void solve(); using ll = long long; template using V = vector; using vi = V; using vl = V<>; using vvi = V< V >; constexpr int inf = 1001001001; constexpr ll infLL = (1LL << 61) - 1; struct IoSetupNya {IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7);} } iosetupnya; template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template ostream& operator <<(ostream& os, const pair &p) { os << p.first << " " << p.second; return os; } template istream& operator >>(istream& is, pair &p) { is >> p.first >> p.second; return is; } template ostream& operator <<(ostream& os, const vector &v) { int s = (int)v.size(); rep(i,s) os << (i ? " " : "") << v[i]; return os; } template istream& operator >>(istream& is, vector &v) { for(auto &x : v) is >> x; return is; } void in(){} template void in(T &t,U &...u){ cin >> t; in(u...);} void out(){cout << "\n";} template void out(const T &t,const U &...u){ cout << t; if(sizeof...(u)) cout << " "; out(u...);} templatevoid die(T x){out(x); exit(0);} #ifdef NyaanDebug #include "NyaanDebug.h" #define trc(...) do { cerr << #__VA_ARGS__ << " = "; dbg_out(__VA_ARGS__);} while(0) #define trca(v,N) do { cerr << #v << " = "; array_out(v , N);cout << endl;} while(0) #else #define trc(...) #define trca(...) int main(){solve();} #endif #define inc(...) char __VA_ARGS__; in(__VA_ARGS__) #define in2(N,s,t) rep(i,N){in(s[i] , t[i]);} #define in3(N,s,t,u) rep(i,N){in(s[i] , t[i] , u[i]);} using vd = V; using vs = V; using vvl = V< V<> >; templateusing heap = priority_queue< T , V , greater >; //using P = pair; using vp = V

; constexpr int MOD = /**/ 1000000007; //*/ 998244353; ////////////////// template struct compress{ vector xs; compress(const vector& v){ xs.reserve(v.size()); for(T x : v) xs.push_back(x); sort(xs.begin(),xs.end()); xs.erase(unique(xs.begin(),xs.end()) , xs.end()); } int get(const T& x){ return lower_bound(xs.begin(),xs.end(),x) - xs.begin(); } int size(){ return xs.size(); } T& operator[](int i){ return xs[i]; } }; // セグ木 template struct ST{ int size; vector seg; const F func; const T UNIT; ST(int N,F func , T UNIT): func(func) , UNIT(UNIT) { size = 1; while(size < N) size <<= 1; seg.assign(2 * size, UNIT); } ST(const vector &v,F func , T UNIT) : func(func) , UNIT(UNIT){ // initialize int N = (int)v.size(); size = 1; while(size < N) size <<= 1; seg.assign(2 * size , UNIT); // set for(int i = 0; i < N; i++){ seg[i + size] = v[i]; } build(); } void set(int k, T x){ seg[k + size] = x; } void build(){ for(int k = size-1; k > 0; k--){ seg[k] = func(seg[2 * k] , seg[2 * k + 1] ); } } void update(int k, T x){ k += size; seg[k] = x; while(k >>= 1){ seg[k] = func( seg[2 * k] , seg[2 * k + 1] ); } } void add(int k , T x){ k += size; seg[k] += x; while(k >>= 1){ seg[k] = func(seg[2 * k] , seg[2 * k + 1] ); } } // 半開区間[a,b)へのクエリ T query(int a, int b){ T L = UNIT, R = UNIT; for(a+=size,b+=size; a>=1,b>>=1){ if(a & 1) L = func(L,seg[a++]); if(b & 1) R = func(seg[--b],R); } return func(L, R); } T operator[](const int &k) const{ return seg[k + size]; } }; template< int mod > struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static int get_mod() { return mod; } }; using modint = ModInt< MOD >; using vm = vector; void solve(){ ini(N); vi a(N); in(a); compress zip(a); rep(i , N) a[i] = zip.get(a[i]); auto fm = [&](int a,int b){return max(a,b);}; ST seg(zip.size() + 1 , fm , 0); using P = pair; vector> dp(N + 1); rep(i , N){ int cur = seg.query(0 , a[i]); seg.update(a[i] , cur + 1); if(cur == 0) { if(sz(dp[1]) > 0 && dp[1].back().first == a[i]) dp[1].back().second += 1; else{ dp[1].emplace_back(a[i] , 1); } } else{ modint nxt = dp[cur].back().second; // にぶたん int ng = -1 , ok = sz(dp[cur]) - 1; while(ng + 1 < ok){ int med = (ng + ok) / 2; if(dp[cur][med].first < a[i]) ok = med; else ng = med; } // idx = okより右側がok // -> 一番後ろの累積からngの累積を引いたもの if(ng >= 0) nxt -= dp[cur][ng].second; // pb if(sz(dp[cur + 1])){ if(dp[cur + 1].back().first == a[i]) dp[cur + 1].back().second += nxt; else{ nxt += dp[cur + 1].back().second; dp[cur + 1].emplace_back(a[i] , nxt); } } else{ dp[cur + 1].emplace_back(a[i] , nxt); } } trc(dp); } out(dp[seg.query(0 , zip.size())].back().second); }