Pagini recente » Cod sursa (job #1377048) | Cod sursa (job #1575595) | Cod sursa (job #1254417) | Cod sursa (job #2047848) | Cod sursa (job #2685263)
#include <bits/stdc++.h>
#define FastIO ios_base::sync_with_stdio(false) , cin.tie(0) , cout.tie(0)
#define FILES freopen("ssnd.in" , "r" , stdin) , freopen("ssnd.out" , "w" , stdout)
#define ll long long
using namespace std;
const ll N = 1e6;
const ll M = 9973;
ll x;
bitset < N / 2 + 10> ciur;
vector < ll > pr;
ll Pw(ll n , ll p)
{
ll ans = 1;
for( ; p ; p >>= 1 , n = 1ll * n * n % M)
if(p & 1)
ans = 1ll * ans * n % M;
return ans;
}
void prec()
{
ll i , j;
for(i = 1 ; ((i * i) << 1) + (i << 1) <= N ; i++)
if(!ciur[i])
for(j = ((i * i) << 1) + (i << 1) ; (j << 1) + 1 <= N ; j += (i << 1) + 1)
ciur[j] = 1;
pr.push_back(2);
for(i = 1 ; (i << 1) + 1 <= N ; i++)
if(ciur[i] == 0)
pr.push_back(i * 2 + 1);
}
pair < ll , ll > solve(ll x)
{
ll e , i;
ll card = 1;
ll sum = 1;
for(i = 0 ; i < pr.size() && pr[i] <= x ; i++)
if(x % pr[i] == 0)
{
e = 0;
while(x % pr[i] == 0)
++e , x /= pr[i];
card *= e + 1;
sum = sum * (Pw(pr[i] , e + 1) - 1) % M * Pw(pr[i] - 1 , M - 2) % M;
}
if(x > 1)
card *= 2 , sum = sum * Pw(x , 2) % M * Pw((x - 1) , M - 2) % M;
return {card , sum};
}
signed main()
{
#ifndef ONLINE_JUDGE
FastIO , FILES;
#endif
prec();
ll q; cin >> q;
while(q--)
{
cin >> x;
pair < ll , ll > s = solve(x);
cout << s.first << ' ' << s.second << '\n';
}
return 0;
}