#line 2 "library/template/template.hpp" //#pragma GCC target("avx") //#pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") #include #define overload4(a,b,c,d,e,...) e #define overload3(a,b,c,d,...) d #define rep1(a) for(ll i=0;i<(ll)(a);i++) #define rep2(i,a) for(ll i=0;i<(ll)(a);i++) #define rep3(i,a,b) for(ll i=(ll)(a);i<(ll)(b);i++) #define rep4(i,a,b,c) for(ll i=(ll)(a);i<(ll)(b);i+=(ll)(c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(a) for(ll i=(ll)(a)-1;i>=0;i--) #define rrep2(i,a) for(ll i=(ll)(a)-1;i>=0;i--) #define rrep3(i,a,b) for(ll i=(ll)(b)-1;i>=(ll)(a);i--) #define rrep(...) overload3(__VA_ARGS__,rrep3,rrep2,rrep1)(__VA_ARGS__) #define fore(...) for (auto&& __VA_ARGS__) #define all1(i) begin(i),end(i) #define all2(i,a) begin(i),begin(i)+a #define all3(i,a,b) begin(i)+a,begin(i)+b #define all(...) overload3(__VA_ARGS__,all3,all2,all1)(__VA_ARGS__) #define rall(n) (n).rbegin(),(n).rend() #define INT(...) int __VA_ARGS__;scan(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__) #define STR(...) string __VA_ARGS__;scan(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__) #define pb push_back #define eb emplace_back #define END(...) {print(__VA_ARGS__);return;} using namespace std; using ll=long long; using ull=unsigned long long; using ld=long double; using vl=vector; using vi=vector; using vs=vector; using vc=vector; using vvl=vector; using pi=pair; using pl=pair; using vvc=vector; using vd=vector; using vp=vector; using vb=vector; constexpr int dx[8]={1,0,-1,0,1,-1,-1,1}; constexpr int dy[8]={0,1,0,-1,1,1,-1,-1}; constexpr ll MOD=1000000007; constexpr ll mod=998244353; constexpr ld EPS=1e-8; constexpr ld PI=3.1415926535897932384626; template ostream &operator<<(ostream&os,const pair&p){os< istream &operator>>(istream&is,pair&p){is>>p.first>>p.second;return is;} template ostream &operator<<(ostream&os,const vector&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;} template istream &operator>>(istream&is,vector&v){for(T &in:v){is>>in;}return is;} void scan(){} template void scan(Head&head,Tail&... tail){cin>>head;scan(tail...);} template void print(const T &t){cout< void print(const Head &head, const Tail &... tail){cout< void fin(const T &... a){print(a...);exit(0);} template inline bool chmax(T&a,U b){return a inline bool chmin(T&a,U b){return a>b&&(a=b,true);} template class infinity{ public: static constexpr T MAX=numeric_limits::max(); static constexpr T MIN=numeric_limits::min(); static constexpr T value=numeric_limits::max()/2; static constexpr T mvalue=numeric_limits::min()/2; }; #if __cplusplus <= 201402L templateconstexpr T infinity::value; templateconstexpr T infinity::mvalue; templateconstexpr T infinity::MAX; templateconstexpr T infinity::MIN; #endif templateconstexpr T INF=infinity::value; constexpr long long inf=INF; inline int popcnt(ull x){ #if __cplusplus>=202002L return popcount(x); #endif x=(x&0x5555555555555555)+((x>>1)&0x5555555555555555);x=(x&0x3333333333333333)+((x>>2)&0x3333333333333333);x=(x&0x0f0f0f0f0f0f0f0f)+((x>>4)&0x0f0f0f0f0f0f0f0f);x=(x&0x00ff00ff00ff00ff)+((x>>8)&0x00ff00ff00ff00ff);x=(x&0x0000ffff0000ffff)+((x>>16)&0x0000ffff0000ffff);return (x&0x00000000ffffffff)+((x>>32)&0x00000000ffffffff); } template struct is_specialize:false_type{}; template struct is_specialize::type>:true_type{}; template struct is_specialize::type>:true_type{}; template struct is_specialize::value,void>>:true_type{}; void dump(const char&t){cerr<::value,nullptr_t> =nullptr> void dump(const T&t){cerr< void dump(const T&t,enable_if_t::value>* =nullptr){string tmp;if(t==infinity::value||t==infinity::MAX)tmp="inf";if(is_signed::value&&(t==infinity::mvalue||t==infinity::MIN))tmp="-inf";if(tmp.empty())tmp=to_string(t);cerr< void dump(const pair&); template void dump(const T&t,enable_if_t::value>* =nullptr){cerr<<"{";for(auto it=t.begin();it!=t.end();){dump(*it);cerr<<(++it==t.end()?"":",");}cerr<<"}";} template void dump(const pair&t){cerr<<"(";dump(t.first);cerr<<",";dump(t.second);cerr<<")";} void trace(){cerr< void trace(Head&&head,Tail&&... tail){dump(head);if(sizeof...(tail))cerr<<",";trace(forward(tail)...);} #ifdef ONLINE_JUDGE #define debug(...) (void(0)) #else #define debug(...) do{cerr<<#__VA_ARGS__<<"=";trace(__VA_ARGS__);}while(0) #endif struct IOSetup{IOSetup(){cin.tie(nullptr);ios::sync_with_stdio(false);cout.tie(0);cout<struct REC{F f;REC(F&&f_):f(std::forward(f_)){}templateauto operator()(Args&&...args)const{return f(*this, std::forward(args)...);}}; /** * @brief Template(テンプレート) */ #line 1 "library/Math/number/fast_prime.hpp" namespace fastprime{ using i128=__uint128_t; long long inner_modmul(const long long&x,const long long&y,const long long&p){ return i128(x)*y%p; } long long inner_modpow(long long n,long long m,const long long&p){ long long res=1; while(m){ if(m&1)res=inner_modmul(res,n,p); n=inner_modmul(n,n,p); m>>=1; } return res; } bool miller_rabin(const long long&n,const vector&p){ long long s=__builtin_ctzll(n-1),d=n>>s; for(long long a:p){ if(n<=a)break; long long t=d,y=inner_modpow(a,t,n); while(t!=n-1&&y!=1&&y!=n-1){ y=inner_modmul(y,y,n); t=inner_modmul(t,2,n); } if(y!=n-1&&!(t&1))return false; } return true; } bool is_prime(const long long&n){ if(n<=2)return n==2; if(!(n&1))return false; if(n<=4759123141)return miller_rabin(n,{2,7,61}); return miller_rabin(n,{2,325,9375,28178,450775,9780504,1795265022}); } long long factor(const long long&n){ if(!(n&1))return 2; else if(is_prime(n))return n; int c=2; while(true){ auto f=[&](long long x){ x=inner_modmul(x,x,n)+c; if(x>=n)x-=n; return x; }; long long x=c,g=1,q=1,xs,y; int m=128; int l=1; while(g==1){ y=x; for(int i=1;ifactorize_sub(const long long&n){ if(n==1)return {}; vectorans; queueq; q.push(n); while(!q.empty()){ const auto&x=q.front();q.pop(); if(x==1)continue; long long p=factor(x); if(p==x)ans.emplace_back(p); else q.push(x/p),q.push(p); } return ans; } vectorfactorize(const long long&n,const bool&sorted=true){ vectorres=factorize_sub(n); if(sorted)sort(res.begin(),res.end()); return res; } }; /** * @brief Fast Prime Factorization(高速素因数分解) */ #line 3 "code.cpp" int main(){ IOSetup(); INT(q); while(q--){ LL(a); const auto f=fastprime::factorize(a); print(f.size(),f); } }