#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; auto range(int n) { return views::iota(0, n); } template ostream& operator<<(ostream& os, const pair& p){ return os << "{" << p.first << ", " << p.second << "}"; } template ostream& operator<<(ostream& os, const vector& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const set& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const map& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } #ifdef ONLINE_JUDGE #define dump(expr) ; #else #define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; } #endif const int mod = 1000000007; struct mint { ll x; mint(ll x_ = 0) : x((x_ % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint &a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint &a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint &a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint &a) const { mint res(*this); return res += a; } mint operator-(const mint &a) const { mint res(*this); return res -= a; } mint operator*(const mint &a) const { mint res(*this); return res *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } mint inv() const { return pow(mod - 2); } mint &operator/=(const mint &a) { return (*this) *= a.inv(); } mint operator/(const mint &a) const { mint res(*this); return res /= a; } friend ostream &operator<<(ostream &os, const mint &m) { os << m.x; return os; } friend istream &operator>>(istream &is, mint &m) { is >> m.x; return is; } }; template struct PrefixSum { vector sums; PrefixSum(vector vs) { int n = (int)vs.size(); sums.resize(n + 1, (T)0); for (int i : range(n)) sums[i + 1] = sums[i] + vs[i]; } T sum(int i, int j) { // vs[i] + ... + vs[j - 1] if (i > j) return (T)0; return sums[j + 1] - sums[i]; } }; ll solve() { int n; cin >> n; vector vs(n); for (int i : range(n)) cin >> vs[i].x; vector vl(n); for (int i : range(n)) vl[i] = log10(vs[i].x); PrefixSum psum(vl); vector ws(n + 4); for (int i : range(n)) { int lo = i, hi = n; while (hi - lo > 1) { int mid = (lo + hi) / 2; if (psum.sum(i, mid) > 9 - 1e-10) { hi = mid; } else { lo = mid; } } // [i, ..., lo] int m = lo - i + 1; dump(i << " " << m); ws[i] += m; ws[i + 1] += -1 - m; ws[i + 1 + m] += 1; } dump(ws); for (int i : range(n + 3)) ws[i + 1] += ws[i]; dump(ws); for (int i : range(n + 3)) ws[i + 1] += ws[i]; dump(ws); mint res = 1; for (int i : range(n)) res *= vs[i].pow(ws[i]); return res.x; } int main() { cout << fixed << setprecision(12); cout << solve() << endl; }