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Cod sursa(job #718098)
#include<cstdio>
#include<cmath>
#include<vector>
#define _CIURMAX 1000010
#define MOD 9973
typedef unsigned long long ull;
std::vector<int> lPrime;
void ciuruieste()
{
static bool compus[_CIURMAX];
for (int i=3;i<_CIURMAX;i+=2)
if (!compus[i])
{
lPrime.push_back(i);
if (i<=sqrt(_CIURMAX)) for (int k=i*i;k<_CIURMAX;k+=i)
compus[k]=1;
}
}
ull pow(int base, int exp)
{
if (exp==1) return base;
if (exp%2==0) return pow(base,exp/2)*pow(base,exp/2);
else return pow(base,exp/2)*pow(base,exp/2)*base;
}
void print_nr_sum(int);
int main()
{
ciuruieste();
freopen("ssnd.in","r",stdin);
freopen("ssnd.out","w",stdout);
int nNr; scanf("%d", &nNr);
for (int i=1;i<=nNr;i++)
{
int n; scanf("%d",&n);
print_nr_sum(n);
}
return 0;
}
void print_nr_sum(int n)
{
int nDiv, sum;
int exp=0;
for (;n%2==0;n/=2) exp++;
nDiv=(exp+1);
sum=pow(2,exp+1)-1;
for (std::vector<int>::iterator pPr=lPrime.begin(); *pPr<=n; ++pPr)
{
if (n%*pPr!=0) continue;
for (exp=0;n%*pPr==0;n/=*pPr) exp++;
nDiv*=(exp+1);
sum*=(pow(*pPr,exp+1)-1)/(*pPr-1) %MOD;
}
printf("%d %d\n",nDiv,sum);
}