#pragma GCC optimize( "unroll-loops" )
{
ll@B,@C,b=B,P[4],e=1,n=0,u[B],d,a=0,q,r,c,s,t;
rep(i,2,B){if(i*i>b)break;if(b%i<1){b/=i;P[n++]=i;e*=i-1;while(b%i<1)b/=i,e*=i;}}
if(b>1)P[n++]=b,e*=b-1;
modint x;x.setmod(B);
rep(i,B)u[i]=(x=i).pw(e-1);
d=B/C;b=d*B;ll F[b]={};
rep(i,b){
	if(F[i])continue;
	q=i/d;r=i%d;c=1;
	rep[P](p,n)c*=q%p;
	if(c<1)continue;
	a++;
	if(a>100)wt("100+"),exit(0);
	rep(j,b){
		s=j/d;t=j%d;c=1;
		rep[P](p,n)c*=s%p;
		F[u[s]*q*s%B*d+u[s]*(q*t+r-t)%d]|=c;
	}
}
wt(a);
}