#include using namespace std; using lint = long long; constexpr lint mod = 1e9 + 7; #define all(x) (x).begin(), (x).end() #define bitcount(n) __builtin_popcountl((lint)(n)) #define fcout cout << fixed << setprecision(15) #define highest(x) (63 - __builtin_clzl(x)) #define rep(i, n) for(int i = 0; i < int(n); i++) #define rep2(i, l, r) for(int i = int(l); i < int(r); i++) #define repr(i, n) for(int i = int(n) - 1; i >= 0; i--) #define repr2(i, l, r) for(int i = int(r) - 1; i >= int(l); i--) #define SZ(x) int(x.size()) constexpr int inf9 = 1e9; constexpr lint inf18 = 1e18; inline void YES(bool condition){ if(condition) cout << "YES" << endl; else cout << "NO" << endl; } inline void Yes(bool condition){ if(condition) cout << "Yes" << endl; else cout << "No" << endl; } inline void assertNO(bool condition){ if(!condition){ cout << "NO" << endl; exit(0); } } inline void assertNo(bool condition){ if(!condition){ cout << "No" << endl; exit(0); } } inline void assertm1(bool condition){ if(!condition){ cout << -1 << endl; exit(0); } } lint power(lint base, lint exponent, lint module){ if(exponent % 2){ return power(base, exponent - 1, module) * base % module; }else if(exponent){ lint root_ans = power(base, exponent / 2, module); return root_ans * root_ans % module; }else{ return 1; }} struct position{ int y, x; }; position mv[4] = {{0, -1}, {1, 0}, {0, 1}, {-1, 0}}; double euclidean(position first, position second){ return sqrt((second.x - first.x) * (second.x - first.x) + (second.y - first.y) * (second.y - first.y)); } template string to_string(pair x){ return to_string(x.first) + "," + to_string(x.second); } string to_string(string x){ return x; } template string to_string(complex x){ return to_string(make_pair(x.real(), x.imag())); } template void array_output(itr start, itr goal){ string ans; for(auto i = start; i != goal; i++) cout << (i == start ? "" : " ") << (*i); if(!ans.empty()) ans.pop_back(); cout << ans << endl; } template void cins(itr first, itr last){ for(auto i = first; i != last; i++){ cin >> (*i); } } template T gcd(T a, T b){ if(b) return gcd(b, a % b); else return a; } template T lcm(T a, T b){ return a / gcd(a, b) * b; } struct combination{ vector fact, inv; combination(int sz) : fact(sz + 1), inv(sz + 1){ fact[0] = 1; for(int i = 1; i <= sz; i++){ fact[i] = fact[i - 1] * i % mod; } inv[sz] = power(fact[sz], mod - 2, mod); for(int i = sz - 1; i >= 0; i--){ inv[i] = inv[i + 1] * (i + 1) % mod; } } lint P(int n, int r){ if(r < 0 || n < r) return 0; return (fact[n] * inv[n - r] % mod); } lint C(int p, int q){ if(q < 0 || p < q) return 0; return (fact[p] * inv[q] % mod * inv[p - q] % mod); } }; template bool next_sequence(itr first, itr last, int max_bound){ itr now = last; while(now != first){ now--; (*now)++; if((*now) == max_bound){ (*now) = 0; }else{ return true; } } return false; } template bool next_sequence2(itr first, itr last, itr2 first2, itr2 last2){ itr now = last; itr2 now2 = last2; while(now != first){ now--, now2--; (*now)++; if((*now) == (*now2)){ (*now) = 0; }else{ return true; } } return false; } template bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } return 0; } template bool chmin(T &a, const T &b){ if(b < a){ a = b; return 1; } return 0; } inline int at(lint i, int j){ return (i >> j) & 1; } random_device rnd; bool is_in_board(lint y, lint x, lint H, lint W){ return (0 <= y && y < H && 0 <= x && x < W); } template< typename Monoid > struct SegmentTree { using F = function< Monoid(Monoid, Monoid) >; int sz; vector< Monoid > seg; const F f; const Monoid M1; SegmentTree(int n, const F f, const Monoid &M1) : f(f), M1(M1) { sz = 1; while(sz < n) sz <<= 1; seg.assign(2 * sz, M1); } void set(int k, const Monoid &x) { seg[k + sz] = x; } void build() { for(int k = sz - 1; k > 0; k--) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } void update(int k, const Monoid &x) { k += sz; seg[k] = x; while(k >>= 1) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } Monoid query(int a, int b) { Monoid L = M1, R = M1; for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if(a & 1) L = f(L, seg[a++]); if(b & 1) R = f(seg[--b], R); } return f(L, R); } Monoid operator[](const int &k) const { return seg[k + sz]; } }; int main(){ int N; cin >> N; vector A(N); cins(all(A)); if(count(all(A), 0)){ cout << 0 << endl; return 0; } SegmentTree< lint > seg(N, [](lint a, lint b){ return a * b; }, 1); SegmentTree< lint > seg_mod(N, [](lint a, lint b){ return a * b % mod; }, 1); SegmentTree< lint > seg_stairly(N, [](lint a, lint b){ return a * b % mod; }, 1); rep(i, N){ seg.set(i, A[i]); seg_mod.set(i, A[i]); seg_stairly.set(i, power(A[i], N - i, mod)); } seg.build(); seg_mod.build(); seg_stairly.build(); int r = 0; lint ans = 1; rep(l, N){ while(r < N && seg.query(l, r + 1) < inf9){ r++; } ans = ans * seg_stairly.query(l, r) % mod * power(seg_mod.query(l, r), (N - r) * (mod - 2), mod) % mod; } cout << ans << endl; }