#include #include #include #include #include #include #include #include #include #include #include using std::cerr; using std::cin; using std::cout; using std::pair; using std::string; using std::vector; //region #define FOR(i, a, b) for (int i = (a); i < (b); ++i) #define FORR(i, a, b) for (int i = (b); i >= (b); --i) #define rep(i, n) for (unsigned i = 0; i < (n); ++i) #define rep1(i, n) for (int i = 1; i <= (n); ++i) #define repr(i, n) for (int i = (n)-1; i >= 0; --i) #define repr1(i, n) for (int i = (n); i > 0; --i) #define all(vec) (vec).begin(), (vec).end() #define mset(v, n) std::memset((v), n, sizeof(v)) #define BIT(N) (1LL << (N)) #define each(i, v) for (auto&& i : (v)) #define unless(f) if(!(f)) using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using vint = vector; using vlong = vector; using vstr = vector; using pii = pair; using pil = pair; using pll = pair; using vpii = vector; using vpil = vector; using vpll = vector; using vvi = vector; using vvl = vector; template using VV = vector>; vector split(const string &s, const string &delim) { vector res; uint pos = 0; while (true) { const size_t found = s.find(delim, pos); if (found < 0) { res.push_back(s.substr(pos)); break; } res.push_back(s.substr(pos, found - pos)); pos = found + delim.size(); } return res; } template string join(vector &vec, const string &sep) { size_t size = vec.size(); if (!size) return ""; std::stringstream ss; for (int i = 0; i < size - 1; i++) ss << vec[i] << sep; ss << vec[size - 1]; return ss.str(); } template std::istream &operator>>(std::istream &is, vector &vec) { for (T &x : vec) is >> x; return is; } template inline void print(const Iter &first, const Iter &last, const std::string &d, bool endline) { cout << *first; for (Iter iter = first + 1; iter < last; ++iter) { cout << d << *iter; } if (endline) cout << "\n"; } constexpr ll powmod(ll a, ull b, uint p) { ll res = 1; while (b > 0) { if (b % 2) res = res * a % p; a = a * a % p; b >>= 1u; } return res; } constexpr ll pow(ll a, ull b) { ll res = 1; while (b > 0) { if (b % 2) res = res * a; a = a * a; b >>= 1u; } return res; } template bool chmax(T &a, const T &b) { return a < b ? (a = b, true) : false; } template bool chmin(T &a, const T &b) { return a > b ? (a = b, true) : false; } template void bsort(vector& v) { std::sort(v.begin(), v.end()); } template void rsort(vector& v) { std::sort(v.begin(), v.end(), std::greater()); } struct iii { iii() { cin.tie(nullptr); cout.tie(nullptr); std::ios::sync_with_stdio(false); cout << std::fixed << std::setprecision(16); } } init; //endregion void solve(); int main() { int t = 1; //scanf("%d", &t); //cin >> t; rep(i, t) solve(); return 0; } #include void solve() { int N; std::cin >> N; std::vector A(N); std::cin >> A; assert(1 <= N && N <= 100000); for (int a : A) { assert(0 <= a && a < 1000000000); } for (int a: A) { if (!a) { std::cout << 0 << std::endl; return; } } std::vector memo(N, -1); int right = 0; long long m = 1; for (int left = 0; left < N; ++left) { for (; right < N; ++right) { m *= A[right]; if (m >= 1000000000) { m /= A[right]; memo[left] = right - 1; break; } } if (memo[left] == -1) memo[left] = N - 1; m /= A[left]; } vector plus(N), minus(N + 2); for (int i = 0; i < N; ++i) { int all_cnt = N - i - 1; int ok_cnt = memo[i] - i; int cnt = all_cnt - ok_cnt; plus[i] = cnt; ++minus[memo[i] + 2]; } long long sum = 0, minus_sum = 0; long long ans = 1, cnt2 = 0; constexpr int mod = 1000000007; rep(i, N) { sum += plus[i]; cnt2 -= i; cnt2 += N - i; minus_sum += minus[i]; sum -= minus_sum; ll tmp = cnt2 - sum; ans *= powmod(A[i], tmp, mod); ans %= mod; } std::cout << ans << std::endl; }