Mai intai trebuie sa te autentifici.
Cod sursa(job #2833948)
Utilizator | Data | 16 ianuarie 2022 00:43:39 | |
---|---|---|---|
Problema | Suma si numarul divizorilor | Scor | 0 |
Compilator | cpp-64 | Status | done |
Runda | Arhiva educationala | Marime | 3.47 kb |
#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 int MOD = 9973;
const int maxciur = 1000005;
int prime[maxciur];
int inv[MOD + 10];
bitset<maxciur> c;
void ciur() {
int k = -1;
for (int i = 2; i < maxciur; ++i) {
if (c[i] == 0) {
prime[++k] = i;
for (int j = i + i; j < maxciur; j += i) {
c[j] = 1;
}
}
}
}
inline int pow(int x, int p) {
int rez = 1;
x %= MOD;
for (; p; p >>= 1) {
if (p & 1) {
rez *= x;
rez %= MOD;
}
x *= x;
x %= MOD;
}
return rez % MOD;
}
inline int invm(int x)
{
return pow(x, MOD - 2);
}
int main()
{
ifstream f("input.txt");
ofstream g("output.txt");
ios_base::sync_with_stdio(0);
f.tie(0); g.tie(0);
for (int i = 1; i <= MOD; i++)
inv[i] = invm(i);
int t; f >> t;
ciur();
while (t--)
{
ll x;
ll nrd = 1;
ll sd = 1;
f >> 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 *= (pow(d, cnt + 1) - 1) * inv[(d - 1)%MOD];
sd %= MOD;
}
i++;
if (x > 1 && prime[i] * prime[i] >= x)
d = prime[i];
}
g << nrd << " " << sd << '\n';
}
return 0;
}