OJ-Problems-Source/HDOJ/4344_autoAC.cpp

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#include <cstdio>
#include <iostream>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <map>
using namespace std;
#define Times 10
typedef __int64 LL;
map<LL,int>m;
LL Random(LL n)
{
return ((double)rand()/RAND_MAX*n+0.5);
}
LL multi(LL a,LL b,LL mod)
{
LL ans=0;
while(b)
{
if(b&1)
{
b--;
ans=(ans+a)%mod;
}
else
{
b/=2;
a=(a+a)%mod;
}
}
return ans;
}
LL Pow(LL a,LL b,LL mod)
{
LL ans=1;
while(b)
{
if(b&1)
{
b--;
ans=multi(ans,a,mod);
}
else
{
b/=2;
a=multi(a,a,mod);
}
}
return ans;
}
bool witness(LL a,LL n)
{
LL d=n-1;
while(!(d&1))
d>>=1;
LL t=Pow(a,d,n);
while(d!=n-1 && t!=1 && t!=n-1)
{
t=multi(t,t,n);
d<<=1;
}
return t==n-1 || d&1;
}
bool miller_rabin(LL n)
{
if(n==2)
return true;
if(n<2||!(n&1))
return false;
for(int i=1;i<=Times;i++)
{
LL a=Random(n-2)+1;
if(!witness(a,n))
return false;
}
return true;
}
LL gcd(LL a,LL b)
{
if(b==0)
return a;
return gcd(b,a%b);
}
LL pollard_rho(LL n,LL c)
{
LL x,y,d,i=1,k=2;
x=Random(n-1)+1;
y=x;
while(1)
{
i++;
x=(multi(x,x,n)+c)%n;
d=gcd(y-x,n);
if(1<d&&d<n)
return d;
if(y==x)
return n;
if(i==k)
{
y=x;
k<<=1;
}
}
}
void find(LL n,LL c)
{
if(n==1)
return ;
if(miller_rabin(n))
{
m[n]++;
return ;
}
LL p=n;
while(p>=n)
p=pollard_rho(p,c--);
find(p,c);
find(n/p,c);
}
int main()
{
int t;
cin>>t;
while(t--)
{
LL n;
cin>>n;
m.clear();
find(n,2013724);
if(m.size()==1)
cout<<1<<" "<<n/m.begin()->first<<endl;
else
{
LL ans=0;
map<LL,int>::iterator it=m.begin();
for(;it!=m.end();it++)
ans+=Pow(it->first,it->second,n);
cout<<m.size()<<" "<<ans<<endl;
}
}
return 0;
}