#include using namespace std; #define rep(i, n) for (int i = 0; i < n; i++) #define rep2(i, x, n) for (int i = x; i <= n; i++) #define rep3(i, x, n) for (int i = x; i >= n; i--) #define each(e, v) for (auto &e : v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template int flg(T x, int i) { return (x >> i) & 1; } template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template void printn(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template vector id_sort(const vector &v, bool greater = false) { int n = v.size(); vector ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template pair operator+(const pair &p, const pair &q) { return make_pair(p.first + q.first, p.second + q.second); } template pair operator-(const pair &p, const pair &q) { return make_pair(p.first - q.first, p.second - q.second); } template istream &operator>>(istream &is, pair &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; const int MOD = 1000000007; // const int MOD = 998244353; template struct Mod_Int { int x; Mod_Int() : x(0) {} Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} static int get_mod() { return mod; } Mod_Int &operator+=(const Mod_Int &p) { if ((x += p.x) >= mod) x -= mod; return *this; } Mod_Int &operator-=(const Mod_Int &p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } Mod_Int &operator*=(const Mod_Int &p) { x = (int)(1LL * x * p.x % mod); return *this; } Mod_Int &operator/=(const Mod_Int &p) { *this *= p.inverse(); return *this; } Mod_Int &operator++() { return *this += Mod_Int(1); } Mod_Int operator++(int) { Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator--() { return *this -= Mod_Int(1); } Mod_Int operator--(int) { Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator-() const { return Mod_Int(-x); } Mod_Int operator+(const Mod_Int &p) const { return Mod_Int(*this) += p; } Mod_Int operator-(const Mod_Int &p) const { return Mod_Int(*this) -= p; } Mod_Int operator*(const Mod_Int &p) const { return Mod_Int(*this) *= p; } Mod_Int operator/(const Mod_Int &p) const { return Mod_Int(*this) /= p; } bool operator==(const Mod_Int &p) const { return x == p.x; } bool operator!=(const Mod_Int &p) const { return x != p.x; } Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod - 2); } Mod_Int pow(long long k) const { Mod_Int now = *this, ret = 1; for (; k > 0; k >>= 1, now *= now) { if (k & 1) ret *= now; } return ret; } friend ostream &operator<<(ostream &os, const Mod_Int &p) { return os << p.x; } friend istream &operator>>(istream &is, Mod_Int &p) { long long a; is >> a; p = Mod_Int(a); return is; } }; using mint = Mod_Int; template struct Binary_Indexed_Tree { vector bit; const int n; Binary_Indexed_Tree(const vector &v) : n((int)v.size()) { bit.resize(n + 1); copy(begin(v), end(v), begin(bit) + 1); for (int a = 2; a <= n; a <<= 1) { for (int b = a; b <= n; b += a) bit[b] += bit[b - a / 2]; } } Binary_Indexed_Tree(int n, const T &x) : n(n) { bit.resize(n + 1); vector v(n, x); copy(begin(v), end(v), begin(bit) + 1); for (int a = 2; a <= n; a <<= 1) { for (int b = a; b <= n; b += a) bit[b] += bit[b - a / 2]; } } void add(int i, const T &x) { for (i++; i <= n; i += (i & -i)) bit[i] += x; } void change(int i, const T &x) { add(i, x - query(i, i + 1)); } T sum(int i) const { T ret = 0; for (; i > 0; i -= (i & -i)) ret += bit[i]; return ret; } T query(int l, int r) const { return sum(r) - sum(l); } T operator[](int i) const { return query(i, i + 1); } int lower_bound(T x) const { int ret = 0; for (int k = 31 - __builtin_clz(n); k >= 0; k--) { if (ret + (1 << k) <= n && bit[ret + (1 << k)] < x) x -= bit[ret += (1 << k)]; } return ret; } int upper_bound(T x) const { int ret = 0; for (int k = 31 - __builtin_clz(n); k >= 0; k--) { if (ret + (1 << k) <= n && bit[ret + (1 << k)] <= x) x -= bit[ret += (1 << k)]; } return ret; } }; int main() { int N; cin >> N; vector a(N); rep(i, N) cin >> a[i]; vector xs = a; rearrange(xs); rep(i, N) a[i] = lb(xs, a[i]); vector pw(N + 1, 1), ipw(N + 1, 1); mint tw = mint(2).inverse(); rep(i, N) pw[i + 1] = pw[i] * 2; rep(i, N) ipw[i + 1] = ipw[i] * tw; int K = sz(xs); Binary_Indexed_Tree b1(K, 0), b2(K, 0); vector l(N, 1), r(N, 1); rep(i, N) { l[i] *= b1.query(0, a[i]); r[i] *= b1.query(a[i] + 1, K); b1.add(a[i], pw[i]); } // print(l), print(r); rep3(i, N - 1, 0) { l[i] *= b2.query(0, a[i]); r[i] *= b2.query(a[i] + 1, K); b2.add(a[i], ipw[i]); } mint ans = 0; rep(i, N) ans += l[i] + r[i]; cout << ans * pw[N - 1] << '\n'; }