#include using namespace std; using int128 = __int128_t; using int64 = long long; using int32 = int; using uint128 = __uint128_t; using uint64 = unsigned long long; using uint32 = unsigned int; #define ALL(obj) (obj).begin(),(obj).end() template using priority_queue_reverse = priority_queue,greater>; constexpr int64 MOD = 1'000'000'000LL + 7; //' constexpr int64 MOD2 = 998244353; constexpr int64 HIGHINF = 1'000'000'000'000'000'000LL; constexpr int64 LOWINF = 1'000'000'000'000'000LL; //' constexpr long double PI = 3.1415926535897932384626433L; template vector multivector(size_t N,T init){return vector(N,init);} template auto multivector(size_t N,T... t){return vector(N,multivector(t...));} template void corner(bool flg, T hoge) {if (flg) {cout << hoge << endl; exit(0);}} template ostream &operator<<(ostream &o, const map&obj) {o << "{"; for (auto &x : obj) o << " {" << x.first << " : " << x.second << "}" << ","; o << " }"; return o;} template ostream &operator<<(ostream &o, const set&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;} template ostream &operator<<(ostream &o, const multiset&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;} template ostream &operator<<(ostream &o, const vector&obj) {o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "") << obj[i]; o << "}"; return o;} template ostream &operator<<(ostream &o, const deque&obj) {o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "") << obj[i]; o << "}"; return o;} template ostream &operator<<(ostream &o, const pair&obj) {o << "{" << obj.first << ", " << obj.second << "}"; return o;} void print(void) {cout << endl;} template void print(Head&& head) {cout << head;print();} template void print(Head&& head, Tail&&... tail) {cout << head << " ";print(forward(tail)...);} template void chmax(T& a, const T b){a=max(a,b);} template void chmin(T& a, const T b){a=min(a,b);} vector split(const string &str, const char delemiter) {vector res;stringstream ss(str);string buffer; while( getline(ss, buffer, delemiter) ) res.push_back(buffer); return res;} inline constexpr int msb(int x) {return x?31-__builtin_clz(x):-1;} inline constexpr int64 ceil_div(const int64 a,const int64 b) {return (a+(b-1))/b;}// return ceil(a/b) void YN(bool flg) {cout << (flg ? "YES" : "NO") << endl;} void Yn(bool flg) {cout << (flg ? "Yes" : "No") << endl;} void yn(bool flg) {cout << (flg ? "yes" : "no") << endl;} /* * @title Gcd - 高速GCD * @docs md/math/Gcd.md */ class Gcd{ public: inline static long long impl(long long n, long long m) { static constexpr long long K = 5; long long t,s; for(int i = 0; t = n - m, s = n - m * K, i < 80; ++i) { if(t= m * K) n = s; } } return impl(m, n % m); } inline static long long pre(long long n, long long m) { long long t; for(int i = 0; t = n - m, i < 4; ++i) { (t < m ? n=m,m=t : n=t); if(!m) return n; } return impl(n, m); } inline static long long gcd(long long n, long long m) { return (n>m ? pre(n,m) : pre(m,n)); } inline static constexpr long long pureGcd(long long a, long long b) { return (b ? pureGcd(b, a % b):a); } inline static constexpr long long lcm(long long a, long long b) { return (a*b ? (a / gcd(a, b)*b): 0); } inline static constexpr long long extGcd(long long a, long long b, long long &x, long long &y) { if (b == 0) return x = 1, y = 0, a; long long d = extGcd(b, a%b, y, x); return y -= a / b * x, d; } }; /** * @url * @est */ int main() { cin.tie(0);ios::sync_with_stdio(false); int N; cin >> N; vector A(N); for(int64 i=0;i