#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vvi; typedef vector vvvi; typedef vector vvvvi; typedef pair pi; typedef pair ppi; typedef pair pppi; typedef pair ppppi; #define FOR(i,l,r) for(ll i=l;i=l;i--) #define RREP(i,n) RFOR(i,0,n) #define ALL(x) x.begin(),x.end() #define F first #define S second #define BS(A,x) binary_search(ALL(A),x) #define LB(A,x) (ll)(lower_bound(ALL(A),x)-A.begin()) #define UB(A,x) (ll)(upper_bound(ALL(A),x)-A.begin()) #define COU(A,x) (UB(A,x)-LB(A,x)) #define sz(c) ((ll)(c).size()) /* #include namespace mp=boost::multiprecision; using Bint=mp::cpp_int; */ templateusing min_priority_queue=priority_queue,greater>; templateostream&operator<<(ostream&os,pair&p){os<istream&operator>>(istream&is,pair&p){is>>p.F>>p.S;return is;} templateostream&operator<<(ostream&os,vector&v){REP(i,sz(v))os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} templatebool chmax(T&a,T b){if(abool chmin(T&a,T b){if(b vm; typedef vector vvm; typedef vector vvvm; typedef vector vvvvm; ostream&operator<<(ostream&os,mint&a){os<>N; set_D; FOR(i,1,2e6)if(N%i==0)_D.insert(i),_D.insert(N/i); vi D; for(auto d:_D)D.emplace_back(d); ll M=sz(D); vvi E(M); REP(i,M)REP(j,M)if(D[i]%D[j]==0)E[i].emplace_back(j); vvi G(M,vi(M)); REP(i,M)REP(j,M){ if(i>j){G[i][j]=G[j][i];continue;} if(i==j){G[i][j]=D[i];continue;} if(D[i]%D[1]==0){ if(D[j]%D[1]==0){ ll _i=LB(D,D[i]/D[1]); ll _j=LB(D,D[j]/D[1]); G[i][j]=G[_i][_j]*D[1]; } else{ ll _i=LB(D,D[i]/D[1]); G[i][j]=G[_i][j]; } } else{ if(D[j]%D[1]==0){ ll _j=LB(D,D[j]/D[1]); G[i][j]=G[i][_j]; } else G[i][j]=__gcd(D[i],D[j]); } } REP(i,M)G[i][i]=D[i]; vm DP(M); DP[0]=1; //REP(i,M)REP(j,M)cout<