Pagini recente » Cod sursa (job #3237481) | Cod sursa (job #2973306) | Cod sursa (job #1385628) | Cod sursa (job #508925) | Cod sursa (job #2833932)
#include<bits/stdc++.h>
#define all(v) v.begin(), v.end()
#define lsb(x) ((x) & (-x))
#define hmap unordered_map
#define var auto &
#define hset unordered_set
#define pq priority_queue
#define exists(x, v) (v.find(x) != v.end())
#define inrange(x, a, b) (x >= a && x <= b)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef unsigned long long int ull;
typedef pair<int, int> p32;
typedef pair<ll, ll> p64;
typedef pair<double, double> pdd;
typedef pair<ull, ull> p64_u;
typedef vector<int> v32;
typedef vector<ll> v64;
typedef vector<double> v64_d;
typedef vector<ull> v64_u;
typedef vector<p32> vp32;
typedef vector<p64> vp64;
typedef vector<p64_u> vp64_u;
typedef vector<pdd> vpdd;
typedef vector<string> vstr;
typedef vector<vector<int>> vv32;
typedef vector<v64> vv64;
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
/*sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);*/
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef HOME
~debug() { cerr << endl; }
eni(!= ) cerr << boolalpha << i; ris;
}
eni(== ) ris << range(begin(i), end(i));
}
sim, class b dor(pair < b, c > d) {
ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
*this << "[";
for (auto it = d.b; it != d.e; ++it)
*this << ", " + 2 * (it == d.b) << *it;
ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
const ll mod = 9973;
vector<ll> prime;
const ll maxciur = 1e6 + 5;
bitset<maxciur> c;
void ciur() {
int i, j, nr = 1;
for (i = 1; ((i * i) << 1) + (i << 1) <= maxciur; i += 1) {
if (c[i] == 0) {
for (j = ((i * i) << 1) + (i << 1); (j << 1) + 1 <= maxciur; j += (i << 1) + 1) {
c[j] = 1;
}
}
}
prime.push_back(2);
for (i = 1; 2 * i + 1 <= maxciur; ++i)
if (c[i] == 0) prime.push_back(2 * i + 1);
}
template <typename T>
T mbpow(T a, T n, T m)
{
T p = 1;
while (n)
{
if (n & 1)
p = (p % m * a % m) % m;
a = (a % m * a % m) % m;
n >>= 1;
}
return p;
}
int fermat(int x, int m)
{
return mbpow(x, m - 2, m);
}
int main()
{
freopen("ssnd.in", "r", stdin);
freopen("ssnd.out", "w", stdout);
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int t; cin >> t;
ciur();
while (t--)
{
ll x;
ll nrd = 1;
ll sd = 1;
cin >> x;
ll i = 0;
while (x > 1)
{
ll cnt = 0;
ll d = prime[i];
if (x % d)
{
i++; continue;
}
while (x % d == 0)
x /= d, cnt++;
if (cnt)
{
nrd = nrd * (cnt + 1) % mod;
sd *= (mbpow(d, cnt + 1, mod) - 1) * fermat(d-1,mod) % mod;
sd %= mod;
}
i++;
if (x > 1 && prime[i] * prime[i] > x)
d = prime[i];
}
cout << nrd << " " << sd << '\n';
}
return 0;
}