Pagini recente » Cod sursa (job #3341034) | Cod sursa (job #3336950) | Cod sursa (job #2182335) | Cod sursa (job #1992312) | Cod sursa (job #3319644)
#include <bits/stdc++.h>
using namespace std;
bool ciur[10000005];
const int MOD = 9973;
int exp(int a, int k)
{
int p = 1;
while (k > 0)
{
if (k % 2 == 1)
{
p *= a;
p %= MOD;
}
a *= a;
a %= MOD;
k /= 2;
}
return p;
}
int inv_mod(int a)
{
return exp(a, MOD - 2);
}
int main()
{
ifstream cin("ssnd.in");
ofstream cout("ssnd.out");
vector<int> prim;
for (int i = 2; 1LL*i*i <= 100000; i ++)
{
if (ciur[i] == false)
{
prim.push_back(i);
for (int j = 1LL*i*i; j <= 100000; j += i)
{
ciur[j] = true;
}
}
}
int q; cin >> q;
while (q --)
{
long long int a;
cin>> a;
int ans1 = 1, ans2 = 1;
int copie = a;
for (int i = 0; i < prim.size() && 1LL * prim[i] * prim[i] <= copie; i++)
{
int l = 0;
if (copie % prim[i] == 0)
{
while (copie % prim[i] == 0)
{
copie /= prim[i];
l++;
}
ans1 *= (l + 1);
ans1 %= MOD;
int num = (exp(prim[i], l + 1) - 1 + MOD) % MOD;
int den = (prim[i] - 1 + MOD) % MOD;
ans2 = 1LL * ans2 * num % MOD * inv_mod(den) % MOD;
}
}
if (copie > 1)
{
ans1 *= 2;
ans1 %= MOD;
int num = (exp(copie, 2) - 1 + MOD) % MOD;
int den = (copie - 1 + MOD) % MOD;
ans2 = 1LL * ans2 * num % MOD * inv_mod(den) % MOD;
}
cout << ans1 << ' ' << ans2 << '\n';
}
}