結果

問題 No.2954 Calculation of Exponentiation
ユーザー dyktr_06dyktr_06
提出日時 2024-11-08 22:20:46
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 3 ms / 2,000 ms
コード長 9,602 bytes
コンパイル時間 2,703 ms
コンパイル使用メモリ 207,512 KB
実行使用メモリ 5,248 KB
最終ジャッジ日時 2024-11-08 22:20:50
合計ジャッジ時間 3,314 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 28
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>

using namespace std;

#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(n) for(int i = 0; i < (int)(n); ++i)
#define rep2(i, n) for(int i = 0; i < (int)(n); ++i)
#define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i)
#define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)

#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i)
#define ALL(a) (a).begin(), (a).end()
#define Sort(a) (sort((a).begin(), (a).end()))
#define RSort(a) (sort((a).rbegin(), (a).rend()))
#define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end()))

typedef long long int ll;
typedef unsigned long long ul;
typedef long double ld;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef vector<char> vc;
typedef vector<string> vst;
typedef vector<double> vd;
typedef vector<long double> vld;
typedef pair<long long, long long> P;

template<class T> long long sum(const T &a){ return accumulate(a.begin(), a.end(), 0LL); }
template<class T> auto min(const T &a){ return *min_element(a.begin(), a.end()); }
template<class T> auto max(const T &a){ return *max_element(a.begin(), a.end()); }

const long long MINF = 0x7fffffffffff;
const long long INF = 0x1fffffffffffffff;
const long long MOD = 998244353;
const long double EPS = 1e-9;
const long double PI = acos(-1);

template<class T> inline bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; }

template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; return os; }
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; return is; }
template<typename T> ostream &operator<<(ostream &os, const vector<T> &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; }
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; }
template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; }
template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; }
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; }

template <typename T>
long long binary_search(long long ok, long long ng, T check){
    while(abs(ok - ng) > 1){
        long long mid = (ok + ng) / 2;
        if(check(mid)) ok = mid;
        else ng = mid;
    }
    return ok;
}

template <typename T>
long double binary_search_real(long double ok, long double ng, T check, int iter = 100){
    for(int i = 0; i < iter; ++i){
        long double mid = (ok + ng) / 2;
        if(check(mid)) ok = mid;
        else ng = mid;
    }
    return ok;
}

template <typename T>
long long trisum(T a, T b){
    long long res = ((b - a + 1) * (a + b)) / 2;
    return res;
}

template <typename T>
T intpow(T x, int n){
    T ret = 1;
    while(n > 0) {
        if(n & 1) (ret *= x);
        (x *= x);
        n >>= 1;
    }
    return ret;
}

template <typename T>
T getReminder(T a, T b){
    if(b == 0) return -1;
    if(a >= 0 && b > 0){
        return a % b;
    } else if(a < 0 && b > 0){
        return ((a % b) + b) % b;
    } else if(a >= 0 && b < 0){
        return a % b;
    } else{
        return (abs(b) - abs(a % b)) % b;
    }
}

template<class T, class U> inline T vin(T &vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }
template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }
template<class... T> void in(T&... a){ (cin >> ... >> a); }
void out(){ cout << '\n'; }
template<class T, class... Ts> void out(const T &a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T, class U> void inGraph(vector<vector<T>> &G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } }

template <typename T>
struct fraction{
    T p, q; // long long or BigInt
    fraction(T P = 0, T Q = 1) : p(P), q(Q){
        normalize();
    }
    void normalize(){
        T g = __gcd(p, q);
        p /= g, q /= g;
        if(q < 0) p *= -1, q *= -1;
    }
    inline bool operator==(const fraction &other) const {
        return p * other.q == other.p * q;
    }
    inline bool operator!=(const fraction &other) const {
        return p * other.q != other.p * q;
    }
    inline bool operator<(const fraction &other) const {
        return p * other.q < other.p * q;
    }
    inline bool operator<=(const fraction &other) const {
        return p * other.q <= other.p * q;
    }
    inline bool operator>(const fraction &other) const {
        return p * other.q > other.p * q;
    }
    inline bool operator>=(const fraction &other) const {
        return p * other.q >= other.p * q;
    }
    inline fraction operator+(const fraction &other) const { return fraction(p * other.q + q * other.p, q * other.q); }
    inline fraction operator-(const fraction &other) const { return fraction(p * other.q - q * other.p, q * other.q); }
    inline fraction operator*(const fraction &other) const { return fraction(p * other.p, q * other.q); }
    inline fraction operator/(const fraction &other) const { return fraction(p * other.q, q * other.p); }
    inline fraction &operator+=(const fraction &rhs) noexcept {
        *this = *this + rhs;
        return *this;
    }
    inline fraction &operator-=(const fraction &rhs) noexcept {
        *this = *this - rhs;
        return *this;
    }
    inline fraction &operator*=(const fraction &rhs) noexcept {
        *this = *this * rhs;
        return *this;
    }
    inline fraction &operator/=(const fraction &rhs) noexcept {
        *this = *this / rhs;
        return *this;
    }
    friend inline istream &operator>>(istream &is, fraction &x) noexcept {
        is >> x.p;
        x.q = 1;
        return is;
    }
    friend inline ostream &operator<<(ostream &os, const fraction &x) noexcept { return os << x.p << "/" << x.q; }
};

namespace prime{

    template <typename T>
    bool isPrime(T n){
        switch(n) {
        case 0: // fall-through
        case 1: return false;
        case 2: return true;
        }

        if(n % 2 == 0) return false;

        for(T i = 3; i * i <= n; i += 2){
            if(n % i == 0){
                return false;
            }
        }
        return true;
    }

    template <typename T>
    vector<pair<T, T>> factorize(T n) {
        vector<pair<T, T>> ret;
        for(T i = 2; i * i <= n; i++) {
            if(n % i != 0) continue;
            T tmp = 0;
            while(n % i == 0) {
                tmp++;
                n /= i;
            }
            ret.push_back(make_pair(i, tmp));
        }
        if(n != 1) ret.push_back(make_pair(n, 1));
        return ret;
    }

    template <typename T>
    vector<T> divisor(T n){
        T rt = sqrt(n);
        vector<T> res, resB;
        for(T i = 1; i * i <= n; i++){
            if(n % i == 0){
                res.push_back(i);
                T j = n / i;
                if(j != rt){
                    resB.push_back(j);
                }
            }
        }
        for(int i = (int) resB.size() - 1; i >= 0; i--){
            res.push_back(resB[i]);
        }
        return res;
    }
}

ll T;

void input(){
    in(T);
}

void solve(){
    ld eps = 0.00001;
    string a, b; in(a, b);
    if(a == "1.0000" || b == "0.0000"){
        out("Yes");
        return;
    }
    ld lda = stold(a), ldb = stold(b);
    fraction<ll> fa, fb;
    if(lda < 1){
        if(b[0] != '-'){
            out("No");
            return;
        }
        fa = fraction<ll>(10000, lda * 10000);
        fb = fraction<ll>(-1 * ldb * 10000 + eps, 10000);
    }else{
        if(b[0] == '-'){
            out("No");
            return;
        }
        fa = fraction<ll>(lda * 10000 + eps, 10000);
        fb = fraction<ll>(ldb * 10000 + eps, 10000);
    }
    fa.normalize();
    fb.normalize();
    if(fa.q != 1){
        out("No");
        return;
    }
    for(auto [p, q] : prime::factorize(fa.p)){
        fraction<ll> g(q, 1);
        g *= fb;
        g.normalize();
        if(g.q != 1){
            out("No");
            return;
        }
    }
    out("Yes");
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(20);

    T = 1;
    // input();
    while(T--) solve();
}
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