Cod sursa(job #3122186)

Utilizator HandoMihnea-Vicentiu Hando Data 17 aprilie 2023 19:50:40
Problema Suma si numarul divizorilor Scor 10
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 3.2 kb
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

#define ar array
#define vt vector
#define pq priority_queue
#define pu push
#define pub push_back
#define em emplace
#define emb emplace_back
#define mt make_tuple

#define all(x) x.begin(), x.end()
#define allr(x) x.rbegin(), x.rend()
#define allp(x, l, r) x.begin() + l, x.begin() + r
#define len(x) (int)x.size()
#define uniq(x) unique(all(x)), x.end()

using namespace std;
using namespace __gnu_pbds;

using ll = long long;
using ld = long double;
using ull = unsigned long long;

template <class T, size_t N>
void re(array <T, N>& x);
template <class T> 
void re(vt <T>& x);

template <class T> 
void re(T& x) {
    cin >> x;
}

template <class T, class... M> 
void re(T& x, M&... args) {
    re(x); re(args...);
}

template <class T> 
void re(vt <T>& x) {
    for(auto& it : x)
        re(it);
}

template <class T, size_t N>
void re(array <T, N>& x) {
    for(auto& it : x)
        re(it);
}

template <class T, size_t N>
void wr(array <T, N> x);
template <class T> 
void wr(vt <T> x);

template <class T> 
void wr(T x) {
    cout << x;
}

template <class T, class ...M>  void wr(T x, M... args) {
    wr(x), wr(args...);
}

template <class T> 
void wr(vt <T> x) {
    for(auto it : x)
        wr(it, ' ');
}

template <class T, size_t N>
void wr(array <T, N> x) {
    for(auto it : x)
        wr(it, ' ');
}

template<class T, class... M>
auto mvt(size_t n, M&&... args) {
    if constexpr(sizeof...(args) == 1)
        return vector<T>(n, args...);
    else
        return vector(n, mvt<T>(args...));
}

void set_fixed(int p = 0) {
    cout << fixed << setprecision(p);
}

void set_scientific() {
    cout << scientific;
}

inline void Open(const string Name) {
    #ifndef ONLINE_JUDGE
        (void)!freopen((Name + ".in").c_str(), "r", stdin);
        (void)!freopen((Name + ".out").c_str(), "w", stdout);
    #endif
}

const int N = 1e6;

int spf[N];
vt <int> primes;

void sieve() {
    for (int i = 2; i < N; ++i) {
        if (spf[i] == 0) {
            spf[i] = i;
            primes.emb(i);
        }

        for (int j = 0; j < len(primes) and i * primes[j] < N and primes[j] <= spf[i]; ++j)
            spf[i * primes[j]] = primes[j];
    }
}

ll lgput(ll a, ll b) {
    ll res = 1;
    while (b) {
        if (b & 1) {
            res = res * a;
        }
        a = a * a;
        b >>= 1;
    }
    return res;
}

void solve() {
    ll n; re(n);
    ll nr_d = 1, sum_d = 1;
    for (ll d : primes) {
        if (d * d > n)
            break;

        int nr = 0;
        while (n % d == 0) {
            ++nr;
            n /= d;
        }

        if (nr != 0) {
            nr_d *= (nr + 1);
            sum_d *= (lgput(d, nr + 1) - 1) / (d - 1);
        }
    }

    if (n != 1) {
        nr_d *= 2;
        sum_d *= (lgput(n, 2) - 1) / (n - 1);
    }

    wr(nr_d, ' ', sum_d, '\n');
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    Open("ssnd");

    sieve();

    int t; re(t);
    for(;t;t--) {
        solve();
    }
    
    return 0;
}