#include #include #include #include #include #include #include #include #include using namespace std; // #define int __int128 #define int long long #define endl "\n" // powerのオーバーフローに注意(素数が1~2^63のときには__int128などを使用すること) //https://primes.utm.edu/prove/prove2_3.html template inline Type product(Type x, Type n, Type mod){ Type ans = 0; while(n){ if(n&1) ans += x; n >>= 1; x += x; x %= mod; ans %= mod; } return ans; } template inline Type power(Type x, Type n, Type mod){ Type ans = 1; while(n){ if(n&1) ans *= x; // if(n&1) ans = product(ans,x,mod); n >>= 1; x *= x; // x = product(x,x,mod); x %= mod; ans %= mod; } return ans; } template inline bool Miller_Rabin(Type num, long long k){ if(num <= 1) return false; else if(num == 2) return true; else if(num%2 == 0) return false; Type s = 0, d = 0; vector div; if(false){ // num < 2^32 // if(num < (1<<31)){ // num < 2^32 div = {2,7,61}; // } else if(num < (1<<63)){ } else if(false){ // num < 2^63 div = {2, 325, 9375, 28178, 450775, 9780504, 1795265022}; } else { random_device rnd; mt19937 mt(rnd()); // uniform_int_distribution<> rd(1,min((int)numeric_limits::max(), num-1)); for(long long i = 0; i < k; i++){ // div.push_back(rd(mt)); div.push_back(mt()%(num-1)+1); } } for(Type n = num-1;;){ if(n%2){ d = n; break; } else s++, n >>= 1; } for(Type i = 0; i < div.size(); i++){ Type a = div[i], n = d, a2 = 1; bool flag = true; if(a >= num) break; a2 = power(a, d, num); if(a2 == 1) continue; for(Type r = 0, two = 1; r < s; r++, two <<= 1){ a2 = power(a, two*d, num); if(a2 == num-1){ flag = false; break; } } if(flag) return false; } return true; } signed main(){ cin.tie(0); ios::sync_with_stdio(false); cout<>n; for(int i = 0; i < n; i++){ long long x; cin>>x; cout<