Pagini recente » Cod sursa (job #2045767) | Cod sursa (job #1489699) | Cod sursa (job #2237465) | Cod sursa (job #899098) | Cod sursa (job #2616981)
#include<bits/stdc++.h>
using namespace std;
#define INIT ios_base :: sync_with_stdio(0); cin.tie(); cout.tie();mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define mp make_pair
#define pb push_back
#define ft first
#define sc second
#define ll long long
#define pii pair<int, int>
#define MOD 9973
#define int ll
#define cin fin
#define cout fout
ifstream fin("ssnd.in"); ofstream fout("ssnd.out");
int fi;
int exp(int x, int e){
if(e==0){return 1;}
if(e%2==0){
return (exp( (x*x)%MOD , e/2))%MOD;
}
else{
return (x* (exp( (x*x)%MOD, e/2)%MOD ) )%MOD;
}
}
int phi(int n){
int res=n;
int x=n;
for(int i=2; i<=sqrt(x); i++){
if(res%i==0){
res-=res/i;
while(x%i==0){
x/=i;
}
}
}
if(n>1){
res-=res/n;
}
return res;
}
int invers(int n){
return (exp(n, fi-1))%MOD;
}
int32_t main(){
INIT
int t;
cin>>t;
fi=phi(MOD);
for(;t;t--){
int n;
cin>>n;
int nr=1, sum=1;
for(int i=2; i<=sqrt(n); i++){
if(n%i==0){
int d=0;
while(n%i==0){
n/=i; d++;
}
nr*=(d+1)%MOD; nr%=MOD; sum*=(exp(i, d+1)-1 )%MOD; sum%=MOD; sum*=invers(i-1)%MOD; sum%=MOD;
}
}
if(n>1){
nr*=2; sum*=(n+1)%MOD; sum%=MOD; nr%=MOD;
}
cout<<nr<<" "<<sum<<"\n";
}
return 0;
}