#include #define syosu(x) fixed< P; typedef pair pdd; typedef pair pll; typedef vector vi; typedef vector vvi; typedef vector vd; typedef vector vvd; typedef vector vl; typedef vector vvl; typedef vector vs; typedef vector

vp; typedef vector vvp; typedef vector vpll; typedef pair pip; typedef vector vip; const int inf=1<<30; const ll INF=1ll<<60; const double pi=acos(-1); const double eps=1e-8; const ull mod=1e9+7; const int dx[4]={-1,0,1,0},dy[4]={0,-1,0,1}; ll gcd(ll a,ll b){ if(!b) return a; return gcd(b,a%b); } ll n; int main(){ cin>>n; cout<