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Cod sursa(job #654266)
#include<cstdio>
#include<cmath>
#define MOD 9973
bool b[1000010];
int pr[1000010],K;
void ciur(int n){
for(int i=2;i<=n;++i)
if(!b[i]){
pr[++K]=i;
for(int j=2;j<=n/i;++j)
b[i*j]=1;
}
}
int pow1(int a,int n){
int rez=a%MOD;
for(int i=1;i<n;++i){
rez*=a;
rez%=MOD;
}
return rez;
}
int main(void){
FILE *fin = fopen("ssnd.in","r");
FILE *fout = fopen("ssnd.out","w");
int i,t,sumdiv,nrdiv,d,p,k,p2; long long n=0;
fscanf(fin,"%d",&t);
ciur(1000000);
while(t--){
fscanf(fin,"%llu",&n);
nrdiv=1; sumdiv=1; i=2; k=int(sqrt(n));
while(n!=1 && i<=K){
if(n%pr[i]==0){
d=0;
while(n%pr[i]==0 && n!=1){ ++d; n/=pr[i]; }
nrdiv*=(d+1);
p=(pow1(pr[i],d+1)-1)%MOD;
p2 = pow1(pr[i]-1, MOD-2) % MOD;
sumdiv=(((sumdiv*p)%MOD)*p2)%MOD;
++i;
}
else ++i;
}
if(n>1){ nrdiv*=2; sumdiv=((n+1)*sumdiv)%MOD; }
fprintf(fout,"%d %d\n",nrdiv,sumdiv);
}
return 0;
}