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Cod sursa(job #424295)
#include<stdio.h>
#define mod 9973
#include<bitset>
#define ll long long
using namespace std;
int pr[1000000],t;
struct nod
{
ll nr,p;
}d[1000000];
bitset<1000100> c;
ll put(ll x)
{
return x*x;
}
ll invmod(ll a,ll b)
{
if(b==1) return a%mod;
else if(b%2==1) return ( put( invmod(a, (b-1)/2 )) %mod *a%mod)%mod;
return (put(invmod(a,b/2)))%mod;
}
void prelucreaza()
{
ll n=0;
int i=0,nd=1,sd=1;
scanf("%lld",&n);
for(i=1;pr[i]*pr[i]<=n;++i)
{
int nr=0,s=1;
while(n%pr[i]==0)
{
n/=pr[i];
s*=pr[i];
nr++;
}
if(nr)
{
nd*=(nr+1);
sd*=((1LL*pr[i]*s-1)%mod);
sd%=mod;
sd*=invmod(pr[i]-1,mod-2);
sd%=mod;
}
}
if(n>1)
{
nd*=2;
sd*=((1LL*n*n-1)%mod);
sd%=mod;
sd*=invmod(n-1,mod-2);
sd%=mod;
}
printf("%d %d\n",nd,sd);
}
int main()
{
freopen("ssnd.in","r",stdin);
freopen("ssnd.out","w",stdout);
scanf("%d",&t);
for(int i=2;i<=1000000;++i)
if(!c[i])
{
pr[++pr[0]]=i;
for(int j=i+i;j<=1000000;j+=i)c[j]=1;
}
for(int i=1;i<=t;++i)
prelucreaza();
fclose(stdin);
fclose(stdout);
return 0;
}