#line 1 "cp_templates/template/template.hpp" # include using namespace std; using ll = long long; using ull = unsigned long long; const double pi = acos(-1); templateconstexpr T inf() { return ::std::numeric_limits::max(); } templateconstexpr T hinf() { return inf() / 2; } template T_char TL(T_char cX) { return tolower(cX); } template T_char TU(T_char cX) { return toupper(cX); } template bool chmin(T& a,T b) { if(a > b){a = b; return true;} return false; } template bool chmax(T& a,T b) { if(a < b){a = b; return true;} return false; } int popcnt(unsigned long long n) { int cnt = 0; for (int i = 0; i < 64; i++)if ((n >> i) & 1)cnt++; return cnt; } int d_sum(ll n) { int ret = 0; while (n > 0) { ret += n % 10; n /= 10; }return ret; } int d_cnt(ll n) { int ret = 0; while (n > 0) { ret++; n /= 10; }return ret; } ll gcd(ll a, ll b) { if (b == 0)return a; return gcd(b, a%b); }; ll lcm(ll a, ll b) { ll g = gcd(a, b); return a / g*b; }; ll MOD(ll x, ll m){return (x%m+m)%m; } ll FLOOR(ll x, ll m) {ll r = (x%m+m)%m; return (x-r)/m; } template using dijk = priority_queue, greater>; # define all(qpqpq) (qpqpq).begin(),(qpqpq).end() # define UNIQUE(wpwpw) (wpwpw).erase(unique(all((wpwpw))),(wpwpw).end()) # define LOWER(epepe) transform(all((epepe)),(epepe).begin(),TL) # define UPPER(rprpr) transform(all((rprpr)),(rprpr).begin(),TU) # define rep(i,upupu) for(ll i = 0, i##_len = (upupu);(i) < (i##_len);(i)++) # define reps(i,opopo) for(ll i = 1, i##_len = (opopo);(i) <= (i##_len);(i)++) # define len(x) ((ll)(x).size()) # define bit(n) (1LL << (n)) # define pb push_back # define exists(c, e) ((c).find(e) != (c).end()) struct INIT{ INIT(){ std::ios::sync_with_stdio(false); std::cin.tie(0); cout << fixed << setprecision(20); } }INIT; namespace mmrz { void solve(); } int main(){ mmrz::solve(); } #line 2 "2785.cpp" // #include "./cp_templates/template/debug.hpp" // #define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) // #define debug(...) (static_cast(0)) using namespace mmrz; __int128_t power(__int128_t n, __int128_t k, __int128_t m) { n %= m; __int128_t ret = 1; while(k > 0){ if(k & 1)ret = ret * n % m; n = __int128_t(n) * n % m; k >>= 1; } return ret % m; } bool is_prime(int64_t n){ if(n <= 1)return false; if(n == 2 || n == 3 || n == 5)return true; if(n % 2 == 0)return false; if(n % 3 == 0)return false; if(n % 5 == 0)return false; vector A = {2, 325, 9375, 28178, 450775, 9780504, 1795265022}; int64_t s = 0, d = n - 1; while(d % 2 == 0){ s++; d >>= 1; } for (auto a : A){ if(a % n == 0)return true; int64_t t, x = power(a, d, n); if(x != 1){ for(t = 0;t < s;t++){ if(x == n - 1)break; x = __int128_t(x) * x % n; } if(t == s)return false; } } return true; } int64_t rho(int64_t n){ if(n % 2 == 0)return 2; if(is_prime(n))return n; auto f = [&](int64_t x) -> int64_t { return (__int128_t(x) * x + 13) % n; }; int64_t step = 0; while (true) { ++step; int64_t x = step, y = f(x); while (true) { int64_t p = gcd(y - x + n, n); if (p == 0 || p == n) break; if (p != 1) return p; x = f(x); y = f(f(y)); } } } vector factorize(int64_t x){ if(x == 1)return {}; int64_t p = rho(x); if(p == x) return {p}; vector l = factorize(p); vector r = factorize(x / p); l.insert(l.end(), r.begin(), r.end()); sort(l.begin(), l.end()); return l; } void SOLVE(){ ll n; cin >> n; n = abs(n); bool FACTO = (n <= 100000); n = n*n*n*n + 4; if(FACTO){ auto ret = factorize(n); cout << (len(ret) > 1 ? "No" : "Yes") << endl; } else { cout << (n == 5 ? "Yes" : "No") << endl; } int cnt = 0; while(n % 10 == 0){ cnt++; n /= 10; } cout << cnt << endl; } void mmrz::solve(){ int t = 1; cin >> t; while(t--)SOLVE(); }