結果

問題 No.2785 四乗足す四の末尾の０
ユーザー MMRZ
提出日時 2024-06-14 22:02:48
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 4,309 bytes
コンパイル時間 3,029 ms
コンパイル使用メモリ 256,548 KB
実行使用メモリ 13,760 KB
最終ジャッジ日時 2024-06-14 22:02:57
合計ジャッジ時間 6,678 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge1
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ファイルパターン 結果
other AC * 10 TLE * 1 -- * 9
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ソースコード

diff #
プレゼンテーションモードにする

#line 1 "cp_templates/template/template.hpp"
# include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
const double pi = acos(-1);
template<class T>constexpr T inf() { return ::std::numeric_limits<T>::max(); }
template<class T>constexpr T hinf() { return inf<T>() / 2; }
template <typename T_char>T_char TL(T_char cX) { return tolower(cX); }
template <typename T_char>T_char TU(T_char cX) { return toupper(cX); }
template<class T> bool chmin(T& a,T b) { if(a > b){a = b; return true;} return false; }
template<class T> bool chmax(T& a,T b) { if(a < b){a = b; return true;} return false; }
int popcnt(unsigned long long n) { int cnt = 0; for (int i = 0; i < 64; i++)if ((n >> i) & 1)cnt++; return cnt; }
int d_sum(ll n) { int ret = 0; while (n > 0) { ret += n % 10; n /= 10; }return ret; }
int d_cnt(ll n) { int ret = 0; while (n > 0) { ret++; n /= 10; }return ret; }
ll gcd(ll a, ll b) { if (b == 0)return a; return gcd(b, a%b); };
ll lcm(ll a, ll b) { ll g = gcd(a, b); return a / g*b; };
ll MOD(ll x, ll m){return (x%m+m)%m; }
ll FLOOR(ll x, ll m) {ll r = (x%m+m)%m; return (x-r)/m; }
template<class T> using dijk = priority_queue<T, vector<T>, greater<T>>;
# define all(qpqpq)           (qpqpq).begin(),(qpqpq).end()
# define UNIQUE(wpwpw)        (wpwpw).erase(unique(all((wpwpw))),(wpwpw).end())
# define LOWER(epepe)         transform(all((epepe)),(epepe).begin(),TL<char>)
# define UPPER(rprpr)         transform(all((rprpr)),(rprpr).begin(),TU<char>)
# define rep(i,upupu)         for(ll i = 0, i##_len = (upupu);(i) < (i##_len);(i)++)
# define reps(i,opopo)        for(ll i = 1, i##_len = (opopo);(i) <= (i##_len);(i)++)
# define len(x)                ((ll)(x).size())
# define bit(n)               (1LL << (n))
# define pb push_back
# define exists(c, e)         ((c).find(e) != (c).end())
struct INIT{
    INIT(){
        std::ios::sync_with_stdio(false);
        std::cin.tie(0);
        cout << fixed << setprecision(20);
    }
}INIT;
namespace mmrz {
    void solve();
}
int main(){
    mmrz::solve();
}
#line 2 "2785.cpp"
// #include "./cp_templates/template/debug.hpp"
// #define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
// #define debug(...) (static_cast<void>(0))
using namespace mmrz;
__int128_t power(__int128_t n, __int128_t k, __int128_t m) {
    n %= m;
    __int128_t ret = 1;
    while(k > 0){
        if(k & 1)ret = ret * n % m;
        n = __int128_t(n) * n % m;
        k >>= 1;
    }
    return ret % m;
}
bool is_prime(int64_t n){
    if(n <= 1)return false;
    if(n == 2 || n == 3 || n == 5)return true;
    if(n % 2 == 0)return false;
    if(n % 3 == 0)return false;
    if(n % 5 == 0)return false;
    vector<int64_t> A = {2, 325, 9375, 28178, 450775, 9780504, 1795265022};
    int64_t s = 0, d = n - 1;
    while(d % 2 == 0){
        s++;
        d >>= 1;
    }
    for (auto a : A){
        if(a % n == 0)return true;
        int64_t t, x = power(a, d, n);
        if(x != 1){
            for(t = 0;t < s;t++){
                if(x == n - 1)break;
                x = __int128_t(x) * x % n;
            }
            if(t == s)return false;
        }
    }
    return true;
}
int64_t rho(int64_t n){
    if(n % 2 == 0)return 2;
    if(is_prime(n))return n;
    auto f = [&](int64_t x) -> int64_t {
        return (__int128_t(x) * x + 13) % n;
    };
    int64_t step = 0;
    while (true) {
        ++step;
        int64_t x = step, y = f(x);
        while (true) {
            int64_t p = gcd(y - x + n, n);
            if (p == 0 || p == n) break;
            if (p != 1) return p;
            x = f(x);
            y = f(f(y));
        }
    }
}
vector<int64_t> factorize(int64_t x){
    if(x == 1)return {};
    int64_t p = rho(x);
    if(p == x) return {p};
    
    vector<int64_t> l = factorize(p);
    vector<int64_t> r = factorize(x / p);
    l.insert(l.end(), r.begin(), r.end());
    sort(l.begin(), l.end());
    return l;
}
void SOLVE(){
    ll n;
    cin >> n;
    n = abs(n);
    bool FACTO = (n <= 100000);
    n = n*n*n*n + 4;
    if(FACTO){
        auto ret = factorize(n);
        cout << (len(ret) > 1 ? "No" : "Yes") << endl;
    }
    else {
        cout << (n == 5 ? "Yes" : "No") << endl;
    }
    int cnt = 0;
    while(n % 10 == 0){
        cnt++;
        n /= 10;
    }
    cout << cnt << endl;
}
void mmrz::solve(){
    int t = 1;
    cin >> t;
    while(t--)SOLVE();
}
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