#include <bits/stdc++.h>
using namespace std;
// #define int long long
// #define double long double
#define rep(i,n) for (int i=0; i<(int)(n); ++i)
#define rep1(i,n) for (int i=1; i<(int)(n); ++i)
#define repeq(i,n) for (int i=0; i<=(int)(n); ++i)
#define rep1eq(i,n) for (int i=1; i<=(int)(n); ++i)
#define rrep(i,n) for (int i=(int)(n)-1; i>=0; --i)
#define rrep1(i,n) for (int i=(int)(n)-1; i>0; --i)
#define rrepeq(i,n) for (int i=(int)(n); i>=0; --i)
#define rrep1eq(i,n) for (int i=(int)(n); i>0; --i)
#define REP(i,a,b) for (int i=(int)(a); i<=(int)(b); ++i)
#define RREP(i,a,b) for (int i=(int)(a); i>=(int)(b); --i)
#define ALL(a) (a).begin(), (a).end()
#define RALL(a) (a).rbegin(), (a).rend()
using ll = long long;
using vi = vector<int>;
using vl = vector<ll>;
using vb = vector<bool>;
template<typename T> using Graph = vector<vector<T>>;
template<typename T> using Spacial = vector<vector<vector<T>>>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int MOD = 1e9+7;
const int MOD2 = 998244353;
// const double EPS = 1e-9;
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
string interval[2] = {" ", "\n"}; // {" ", "\n"}

template<typename T> struct is_plural : false_type{};
template<typename T1, typename T2> struct is_plural<pair<T1, T2>> : true_type{};
template<typename T> struct is_plural<vector<T>> : true_type{};
template<typename T> struct is_plural<complex<T>> : true_type{};
 
template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p) { return is >> p.first >> p.second; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p) { return os << p.first << " " << p.second; }
template<typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto itr = vec.begin(); itr != vec.end(); ++itr) is >> *itr; return is; }
template<typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { if (vec.empty()) return os; bool pl = is_plural<T>(); os << vec.front(); for (auto itr = ++vec.begin(); itr != vec.end(); ++itr) os << interval[pl] << *itr; return os; }
 
bool CoutYN(bool a, string y = "Yes", string n = "No") { cout << (a ? y : n) << "\n"; return a; }

template<typename T1, typename T2> inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
template<typename T1, typename T2> inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }

long long modpow(int a, long long n, int mod = MOD) { long long ret = 1; do { if (n & 1) ret = ret * a % mod; a = 1LL * a * a % mod; } while (n >>= 1); return ret; }

template<typename T> T GCD(T a, T b) { return b ? GCD(b, a%b) : a; }
template<typename T> T LCM(T a, T b) { return a / GCD(a, b) * b; }

template<typename T1, typename T2> bool CompareBySecond(pair<T1, T2> a, pair<T1, T2> b) { return a.second != b.second ? a.second < b.second : a.first < b.first; }
template<typename T1, typename T2> bool CompareByInverse(pair<T1, T2> a, pair<T1, T2> b) { return a.first != b.first ? a.first < b.first : a.second > b.second; }


/* -------- <templates end> -------- */


template<uint_fast64_t Modulus = MOD>
struct Modint {
  using u64 = uint_fast64_t;
  u64 a;

  constexpr Modint(const u64 x = 0) noexcept : a(x % Modulus) {}

  constexpr Modint operator+(const Modint rhs) const noexcept {
    return Modint(*this) += rhs;
  }
  constexpr Modint operator-(const Modint rhs) const noexcept {
    return Modint(*this) -= rhs;
  }
  constexpr Modint operator*(const Modint rhs) const noexcept {
    return Modint(*this) *= rhs;
  }
  constexpr Modint operator/(const Modint rhs) const noexcept {
    return Modint(*this) /= rhs;
  }

  constexpr Modint &operator+=(const Modint rhs) noexcept {
    a += rhs.a;
    if (a >= Modulus) a -= Modulus;
    return *this;
  }
  constexpr Modint &operator-=(const Modint rhs) noexcept {
    if (a < rhs.a) a += Modulus;
    a -= rhs.a;
    return *this;
  }
  constexpr Modint &operator*=(const Modint rhs) noexcept {
    a = a * rhs.a % Modulus;
    return *this;
  }
  constexpr Modint &operator/=(Modint rhs) noexcept {
    u64 exp = Modulus - 2;
    while (exp) {
      if (exp & 1) *this *= rhs;
      rhs *= rhs;
      exp >>= 1;
    }
    return *this;
  }

  Modint pow(u64 t) const {
    if (!t) return 1;
    Modint x = pow(t>>1);
    x *= x;
    if (t&1) x *= *this;
    return x;
  }

  explicit operator bool() const {
    return a;
  }

  friend ostream &operator<<(ostream &os, const Modint &m) {
    return os << m.a;
  }
};

using mint = Modint<>;

struct rect {
  int l, r, h, dec;

  rect(int l, int r, int h) : l(l), r(r), h(h), dec(0) {}
};

void solve() {
  int n; cin >> n;
  vi h(n); cin >> h;

  Graph<int> tree(n);

  vector<rect> vec;
  vec.emplace_back(0, n-1, 0);
  queue<int> q;
  q.emplace(0);

  while (!q.empty()) {
    int v = q.front(); q.pop();
    int MIN = 1<<30;
    vi pos;

    REP(i,vec[v].l,vec[v].r) {
      if (chmin(MIN, h[i])) pos.clear();
      if (h[i] == MIN) pos.emplace_back(i);
    }

    vec[v].h = MIN - vec[v].h;
    vec[v].dec = pos.size();

    pos.emplace_back(vec[v].r + 1);
    int prev = vec[v].l - 1;
    for (auto &k : pos) {
      if (k - prev > 1) {
        tree[v].emplace_back(vec.size());
        q.emplace(vec.size());
        vec.emplace_back(prev + 1, k - 1, MIN);
      }
      prev = k;
    }
  }

  const mint two = 2;

  function<pair<mint, mint>(int)> dfs = [&](int v) {
    mint flip = 1, all = 1;
    for (auto &nv : tree[v]) {
      mint f, c;
      tie(f, c) = dfs(nv);
      flip *= f;
      all *= f * 2 + c;
    }
    return make_pair(flip * two.pow(vec[v].h), all * two.pow(vec[v].dec) - flip * 2);
  };

  auto ans = dfs(0);
  cout << ans.first + ans.second << endl;
}


/* -------- <programs end> -------- */


signed main() {
  cin.tie(nullptr);
  ios::sync_with_stdio(false);
  cout << fixed << setprecision(10);
  solve();
  return 0;
}


Measured memory_bytes: 3656