#define _USE_MATH_DEFINES #include using namespace std; template class Modular { private: long long value; public: constexpr Modular() : value() {}; constexpr Modular(const Modular& other) : value(other.value) {} template constexpr Modular(const U& x) { value = normalize(x); } template static long long normalize(const U& x) { long long v; if (-MOD <= x && x < MOD) v = static_cast(x); else v = static_cast(x % MOD); if (v < 0) v += MOD; return v; } constexpr long long inverse(long long x) { x = (x % MOD + MOD) % MOD; long long y = MOD, u = 1, v = 0; while(y) { long long t = x / y; x -= t * y; swap(x, y); u -= t * v; swap(u, v); } return (u % MOD + MOD) % MOD; } static long long mul(long long a, long long b) { long long res; #ifdef _WIN32 unsigned long long x = a * b; unsigned xh = (unsigned) (x >> 32), xl = (unsigned) x, d, m; asm( "divl %4; \n\t" : "=a" (d), "=d" (m) : "d" (xh), "a" (xl), "r" (MOD) ); res = m; #else res = a * b % MOD; #endif return res; } explicit operator long long() const noexcept { return value;} template explicit operator U() const noexcept { return static_cast(value); } constexpr Modular& operator=(const Modular& other) & noexcept { value = other.value; return *this; } template constexpr Modular& operator=(const U& other) & noexcept { return *this = Modular(other); } constexpr Modular& operator+=(const Modular& other) noexcept { if ((value += other.value) >= MOD) value -= MOD; return *this; } template constexpr Modular& operator+=(const U& other) noexcept { return *this += Modular(other); } constexpr Modular& operator-=(const Modular& other) noexcept { if ((value -= other.value) < 0) value += MOD; return *this; } template constexpr Modular& operator-=(const U& other) noexcept { return *this -= Modular(other); } constexpr Modular& operator*=(const Modular& other) noexcept { this->value = mul(this->value, other.value); return *this; } template constexpr Modular& operator*=(const U& other) noexcept {return *this *= Modular(other); } constexpr Modular& operator/=(const Modular& other) noexcept { return *this *= Modular(inverse(other.value)); } template constexpr Modular& operator/=(const U& other) noexcept { return *this *= Modular(inverse(normalize(other))); } constexpr Modular& operator++() noexcept {return *this += 1; } constexpr Modular operator++(int) noexcept { Modular ret(*this); *this += 1; return ret; } constexpr Modular& operator--() noexcept {return *this -= 1; } constexpr Modular operator--(int) noexcept { Modular ret(*this); *this += 1; return ret; } constexpr Modular operator-() const { return Modular(-value); } friend constexpr bool operator==(const Modular& lhs, const Modular& rhs) noexcept { return lhs.value == rhs.value; } template friend constexpr bool operator==(const Modular& lhs, U rhs) noexcept { return lhs == Modular(rhs); } template friend constexpr bool operator==(U lhs, const Modular& rhs) noexcept { return Modular(lhs) == rhs; } friend constexpr bool operator!=(const Modular& lhs, const Modular& rhs) noexcept { return !(lhs == rhs); } template friend constexpr bool operator!=(const Modular& lhs, U rhs) noexcept { return !(lhs == rhs); } template friend constexpr bool operator!=(U lhs, const Modular rhs) noexcept { return !(lhs == rhs); } friend constexpr bool operator<(const Modular& lhs, const Modular& rhs) noexcept { return lhs.value < rhs.value; } template friend constexpr bool operator<(const Modular &lhs, U rhs) noexcept { return lhs.value < rhs; } template friend constexpr bool operator<(U lhs, const Modular &rhs) noexcept { return lhs < rhs.value; } friend constexpr bool operator>(const Modular& lhs, const Modular& rhs) noexcept { return rhs.value < lhs.value; } template friend constexpr bool operator>(const Modular &lhs, U rhs) noexcept { return rhs.value < lhs; } template friend constexpr bool operator>(U lhs, const Modular &rhs) noexcept { return rhs < lhs.value; } friend constexpr bool operator<=(const Modular& lhs, const Modular& rhs) noexcept { return !(lhs.value > rhs.value); } template friend constexpr bool operator<=(const Modular &lhs, U rhs) noexcept { return !(lhs.value > rhs); } template friend constexpr bool operator<=(U lhs, const Modular &rhs) noexcept { return !(lhs < rhs.value); } friend constexpr bool operator>=(const Modular& lhs, const Modular& rhs) noexcept { return !(lhs.value < rhs.value); } template friend constexpr bool operator>=(const Modular &lhs, U rhs) noexcept { return !(lhs.value < rhs); } template friend constexpr bool operator>=(U lhs, const Modular &rhs) noexcept { return !(lhs < rhs.value); } friend constexpr Modular operator+(const Modular& lhs, const Modular& rhs) noexcept { return Modular(lhs) += rhs; } template friend constexpr Modular operator+(const Modular& lhs, U rhs) noexcept { return Modular(lhs) += rhs; } template friend constexpr Modular operator+(U lhs, const Modular &rhs) noexcept { return Modular(lhs) += rhs; } friend constexpr Modular operator-(const Modular& lhs, const Modular& rhs) noexcept { return Modular(lhs) -= rhs; } template friend constexpr Modular operator-(const Modular& lhs, U rhs) noexcept { return Modular(lhs) -= rhs; } template friend constexpr Modular operator-(U lhs, const Modular &rhs) noexcept { return Modular(lhs) -= rhs; } friend constexpr Modular operator*(const Modular& lhs, const Modular& rhs) noexcept { return Modular(lhs) *= rhs; } template friend constexpr Modular operator*(const Modular& lhs, U rhs) noexcept { return Modular(lhs) *= rhs; } template friend constexpr Modular operator*(U lhs, const Modular &rhs) noexcept { return Modular(lhs) *= rhs; } friend constexpr Modular operator/(const Modular& lhs, const Modular& rhs) noexcept { return Modular(lhs) /= rhs; } template friend constexpr Modular operator/(const Modular& lhs, U rhs) noexcept { return Modular(lhs) /= rhs; } template friend constexpr Modular operator/(U lhs, const Modular &rhs) noexcept { return Modular(lhs) /= rhs; } friend std::ostream& operator<<(std::ostream& stream, const Modular& number) noexcept { return stream << number.value; } friend std::istream& operator>>(std::istream& stream, Modular& number) { long long in; stream >> in; number.value = Modular::normalize(in); return stream; } constexpr int getmod() const { return MOD; } }; template Modular power(const Modular& x, const U& y) { assert(y >= 0); Modular k = x, result = 1; U p = y; while (p > 0) { if (p & 1) result *= k; k *= k; p >>= 1; } return result; } template class BinaryCoefficients { private: vector> fact_, inv_, finv_; public: constexpr BinaryCoefficients(int n = 2020200) : fact_(n, 1), inv_(n, 1), finv_(n, 1) { for (int i = 2; i < n; i++) { fact_[i] = fact_[i - 1] * i; inv_[i] = -inv_[MOD % i] * (MOD / i); finv_[i] = finv_[i - 1] * inv_[i]; } } constexpr Modular comb(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[k] * finv_[n - k]; } constexpr Modular fact(int n) const noexcept { if (n < 0) return 0; return fact_[n]; } constexpr Modular inv(int n) const noexcept { if (n < 0) return 0; return inv_[n]; } constexpr Modular finv(int n) const noexcept { if (n < 0) return 0; return finv_[n]; } }; constexpr int mod = 1e9 + 7; //constexpr int mod = 998244353; using mint = Modular; using bicoef = BinaryCoefficients; template class SegmentTree { private: using Func = function; Func func; Monoid unity; int siz; vector data; int n; int height; inline void build() { siz = 1; while (siz < n) siz <<= 1, ++height; data.assign(siz << 1, unity); for (int i = 0; i < n; i++) set(i, unity); for (int idx = siz - 1; idx > 0; idx--) data[idx] = func(data[(idx << 1) | 0], data[(idx << 1) | 1]); } template inline void build(const T& arr) { if (!~n) n = (int) arr.size(); siz = 1; while (siz < n) siz <<= 1, ++height; data.assign(siz << 1, unity); for (int i = 0; i < n; i++) set(i, arr[i]); for (int idx = siz - 1; idx > 0; idx--) data[idx] = func(data[(idx << 1) | 0], data[(idx << 1) | 1]); } inline void set(int idx, const Monoid& val) { assert(idx + siz < (int) data.size()); data[idx + siz] = val;} public: SegmentTree() {} SegmentTree (const Func f, const Monoid& u, const int& n_) : func(f), unity(u), n(n_) { build(); } template SegmentTree (const T& arr, const Func f, const Monoid& u, int n_ = -1) : func(f), unity(u), n(n_) { build(arr); } void initialize (const Func f, const Monoid &u, const int& n_) { func = f; unity = u; n = n_; build(); } template void initialize (const T& arr, const Func f, const Monoid& u, int n_ = -1) { func = f; unity = u; n = n_; buld(arr); } void modify (int idx, const Monoid& val) { idx += siz; data[idx] = val; while (idx >>= 1) data[idx] = func(data[(idx << 1) | 0], data[(idx << 1) | 1]); } //[left, right) Monoid get (int left, int right) { if (left > right) swap(left, right); Monoid val_left = unity, val_right = unity; for (int l = left + siz, r = right + siz; l < r; l >>= 1, r >>= 1) { if (l & 1) val_left = func(val_left, data[l++]); if (r & 1) val_right = func(data[--r], val_right); } return func(val_left, val_right); } template int find (int start, int left, int right, int cur, Monoid& val, const U& f) { if (left + 1 == right) { val = func(val, data[cur]); return f(val) ? cur - siz : -1; } int mid = (left + right) >> 1; if (mid <= start) return find(start, mid, right, (cur << 1) | 1, val, f); if (start <= left && !f(func(val, data[cur]))) { val = func(val, data[cur]); return -1; } int val_left = find(start, left, mid, (cur << 1) | 0, val, f); if (~val_left) return val_left; return find(start, mid, right, (cur << 1) | 1, val, f); } template int find (int start, const U& f) { Monoid val = unity; return find(start, 0, siz, 1, val, f); } inline Monoid operator[] (int idx) { return data[idx + siz]; } void print() { for (int i = 0; i < siz; i++) { cout << (*this)[i]; if (i != siz - 1) cout << ", "; } cout << '\n'; } }; template class compress { public: map zip; vector unzip; compress (const vector& v) { for (int i = 0; i < (int) v.size(); i++) unzip.push_back(v[i]); sort(unzip.begin(), unzip.end()); unzip.erase(unique(unzip.begin(), unzip.end()), unzip.end()); for (int i = 0; i < (int) unzip.size(); i++) zip[unzip[i]] = i; } }; signed main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector a(n); for (int i = 0; i < n; i++) { cin >> a[i]; } auto f = [] (pair x, pair y) { if (x.first == y.first) return make_pair(x.first, x.second + y.second); else if (x.first > y.first) return x; else return y; }; SegmentTree> sgt(f, {-1, 0}, n + 10); compress comp(a); for (int i = 0; i < n; i++) a[i] = comp.zip[a[i]] + 1; sgt.modify(0, {0, 1}); for (int i = 0; i < n; i++) { auto p = sgt.get(0, a[i]); p.first++; sgt.modify(a[i],f(sgt.get(a[i], a[i] + 1), p)); } cout << sgt.get(0, n + 5).second << endl; return 0; }