#pragma GCC optimize("Ofast") #pragma GCC target("avx2") char*mmap(); #define rd(v) long v=0;{int _c;while(_c=*rp++-48,_c>=0)v=v*10+_c;} #define wt_rev(v) {long _z=v;do*--wp=_z%10+48;while(_z/=10);} main(){ char*rp=mmap(0l,1l<<12,1,2,0,0ll); rd(n); long r=0; if(n%3==0){ r=3; goto end; } if(n%2==0){ n/=2; } if(n%2==0){ r=4; goto end; } for(long i=(long)__builtin_sqrt(n)/6*6+7;i>=5;){ { unsigned long x=-i; x*=x*i+2; x*=x*i+2; x*=x*i+2; x*=x*i+2; x*=x*i+2; if((__uint128_t)(x*-n)*i>>64==0){ r=i; } i-=2; } { unsigned long x=-i; x*=x*i+2; x*=x*i+2; x*=x*i+2; x*=x*i+2; x*=x*i+2; if((__uint128_t)(x*-n)*i>>64==0){ r=i; } i-=4; } } if(r==0){ r=n; if(n%2==0){ r/=2; } } end:; char wbuf[32],*wp=(wbuf+sizeof wbuf); wt_rev(r); write(1,wp,(wbuf+sizeof wbuf)-wp); _exit(0); }