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Cod sursa(job #812517)
#include <cstdio>
#include <math.h>
#include <fstream>
#define md 9973
using namespace std;
int dx[8]={-1,-1,0,+1,+1,+1,0,-1};
int dy[8]={0,+1,+1,+1,0,-1,-1,-1};
FILE *f,*g;
int t,i,nr;
long long n;
int pr[80000];
int cn,sol1,sol2,lim,nr1,nr2,q;
char p[1000000];
void ciur(int n)
{
int i, j;
for (i = 1; ((i * i) << 1) + (i << 1) <= n; i += 1) {
if ((p[i >> 3] & (1 << (i & 7))) == 0) {
for (j = ((i * i) << 1) + (i << 1); (j << 1) + 1 <= n; j += (i << 1) + 1) {
p[j >> 3] |= (1 << (j & 7));
}
}
}
pr[nr=1]=2;
for (i = 1; 2 * i + 1 <= n; ++i)
if ((p[i >> 3] & (1 << (i & 7))) == 0)
pr[++nr]=2*i+1;
}
int ridic(int x, int put)
{
int sl=1,p=(x%md);
for (;put;put>>=1,p=(p*p)%md)
if (put&1)
{
sl=(sl*p)%md;
}
return sl;
}
int main()
{
ifstream fin ("ssnd.in");
ofstream fout ("ssnd.out");
ciur(1000010);
fin>>t;
for (q=1;q<=t;q++)
{
fin>>n;
sol1=sol2=1;
for (i=1;n!=1 && (long long)pr[i]*pr[i]<=n && i<=nr;i++)
if (n%pr[i]==0)
{
cn=0;
while (n%pr[i]==0)
{
cn++;
n=(long long)n/pr[i];
}
sol1=(sol1*(cn+1));
nr1=(ridic(pr[i],cn+1)-1)%md;
nr2=ridic(pr[i]-1,md-2);
sol2=(((sol2*nr1)%md)*nr2)%md;
}
if (n!=1)
{
sol1=(sol1*2);
sol2=(sol2*( (long long)(n+1)%md))%md;
}
fout<<sol1<<' '<<sol2<<'\n';
}
return 0;
}