// https://atcoder.jp/contests/arc081/tasks/arc081_b #include "algorithm" #include "bitset" #include "cmath" #include "functional" #include "iomanip" #include "iostream" #include "map" #include "numeric" #include "queue" #include "set" #include "string" #include "vector" #define rep(i, to) for (ll i = 0; i < (to); ++i) #define rep1(i, to) for (ll i = 1; i <= (to); ++i) #define repf(i, from, to) for (ll i = from; i < (to); ++i) #define repr(i, from) for (ll i = from - 1; i >= 0; --i) #define all(vec) vec.begin(), vec.end() #define unless(cond) if (!(cond)) #define fi first #define se second using namespace std; typedef long long ll; typedef long double ld; template using V = vector; using VL = V; using VVL = V; template using P = pair; using PL = P; using VPL = V; template inline bool chmax(T& a, T b); template inline bool chmin(T& a, T b); void print_ints(vector v); template void drop(T a); const ll INF = 1e18; template class Fp { public: long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { if (val < 0) val += MOD; } constexpr int getmod() { return MOD; } constexpr Fp operator-() const noexcept { return val ? MOD - val : 0; } constexpr Fp operator+(const Fp& r) const noexcept { return Fp(*this) += r; } constexpr Fp operator-(const Fp& r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator*(const Fp& r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator/(const Fp& r) const noexcept { return Fp(*this) /= r; } constexpr Fp& operator+=(const Fp& r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp& operator-=(const Fp& r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp& operator*=(const Fp& r) noexcept { val = val * r.val % MOD; return *this; } constexpr Fp& operator/=(const Fp& r) noexcept { long long a = r.val, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator==(const Fp& r) const noexcept { return this->val == r.val; } constexpr bool operator!=(const Fp& r) const noexcept { return this->val != r.val; } friend constexpr ostream& operator<<(ostream& os, const Fp& x) noexcept { return os << x.val; } friend constexpr Fp modpow(const Fp& a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; // const ll MOD = 998244353; const ll MOD = 1000000007; using mint = Fp; struct combination_table { // i! % MOD M V fact; // (i!)^(-1) MOD M V finv; // i^(-1) MOD M V inv; }; combination_table ct; // ref: http://drken1215.hatenablog.com/entry/2018/06/08/210000 void prepare_combination(ll max) { V fact(max + 1); V finv(max + 1); V inv(max + 1); fact[0] = 1; fact[1] = 1; finv[0] = 1; finv[1] = 1; inv[1] = 1; for (ll i = 2; i <= max; i++) { fact[i] = fact[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; // a^(-1) ≡ -(p % a)^(-1) * (p/a) MOD p finv[i] = finv[i - 1] * inv[i] % MOD; } ct = { fact, finv, inv, }; } mint c_m(ll n, ll k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return mint(ct.fact[n]) * ct.finv[k] * ct.finv[n - k]; } // 重複組合せ n 種類から k 個重複を許して取る通り mint h_m(ll n, ll k) { return c_m((n - 1) + k, k); } mint p_m(ll n, ll k, combination_table& ct) { return c_m(n, k) * ct.fact[k]; } void solve() { ll N; cin >> N; VL as(N); rep(i, N) cin >> as[i]; prepare_combination(N - 1); mint sum = 0; rep(i, N) { sum += c_m(N - 1, i) * as[i]; } cout << sum << "\n"; } struct exit_exception : public std::exception { const char* what() const throw() { return "Exited"; } }; #ifndef TEST int main() { cin.tie(0); ios::sync_with_stdio(false); try { solve(); } catch (exit_exception& e) { } return 0; } #endif template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } void print_ints(vector v) { rep(i, v.size()) { if (i > 0) { cout << " "; } cout << v[i]; } cout << endl; } template void drop(T res) { cout << res << endl; throw exit_exception(); }