#989616 (C++17(gnu拡張)) No.2776 Bigger image

• 問題: No.2776 Bigger image
• ユーザー: GOTKAKO
• 提出日時: 2024-06-19 19:18:42
• 言語: C++17(gnu拡張) (gcc 15.2.0 + boost 1.89.0)
• 結果: AC
• 実行時間: 2 ms / 2,000 ms
• コード長: 3,383 bytes
• コンパイル時間: 1,958 ms
• コンパイル使用メモリ: 217,996 KB
• 実行使用メモリ: 7,848 KB
• 最終ジャッジ日時: 2026-02-23 15:45:51
• 合計ジャッジ時間: 3,486 ms
• ジャッジサーバーID （参考情報）: judge3 / judge4

ファイルパターン	結果
sample	AC * 4
other	AC * 25

ソースコード

#include <bits/stdc++.h>
using namespace std;

struct frac{ //最終的に分子分母64bitに収まる計算のみ.
    public:
    long long n,d;
    frac() : n(0),d(1){}
    frac(long long v) : n(v),d(1) {}
    frac(__int128_t a,__int128_t b,bool redu = true){
        assert(b != 0);
        if(redu) reduce(a,b);
        n = a,d = b; 
    }
    private:
    __int128_t gcd(__int128_t a,__int128_t b){
        if(a%b == 0) return b;
        return gcd(b,a%b);
    } 
    __int128_t gcd128(__int128_t a,__int128_t b){ //絶対値gcd128.
        if(b == 0) return abs(a);
        return gcd(abs(a),abs(b));
    }
    void reduce(__int128_t &a,__int128_t &b){ //約分.
        if(b < 0) a = -a,b = -b;
        __int128_t div = gcd128(a,b);
        a /= div; b /= div;
    }
    public:
    //計算量 O(logmax(d,b.d)).
    friend frac operator+(const frac &b){return b;}
    friend frac operator-(const frac &b){return frac(-b.n,b.d,false);}
    friend frac operator+(const frac &a,const frac &b){
        return frac((__int128_t)a.n*b.d+(__int128_t)b.n*a.d,(__int128_t)a.d*b.d);
    } 
    friend frac operator-(const frac &a,const frac &b){
        return frac((__int128_t)a.n*b.d-(__int128_t)b.n*a.d,(__int128_t)a.d*b.d);
    }
    friend frac operator*(const frac &a,const frac &b){
        long long g1 = std::gcd(a.n,b.d),g2 = std::gcd(a.d,b.n);
        return frac((a.n/g1)*(b.n/g2),(a.d/g2)*(b.d/g1),false);
    }
    friend frac operator/(const frac &a,const frac &b){
        assert(b.n != 0);
        long long g1 = std::gcd(a.n,b.n),g2 = std::gcd(a.d,b.d);
        if(b.n < 0) return frac((-a.n/g1)*(b.d/g2),(a.d/g2)*(-b.n/g1));
        else return frac((a.n/g1)*(b.d/g2),(a.d/g2)*(b.n/g1));
    }
    friend bool operator==(const frac &a,const frac &b){return a.n==b.n && a.d==b.d;}
    friend bool operator!=(const frac &a,const frac &b){return a.n!=b.n || a.d!=b.d;}
    friend bool operator>(const frac &a,const frac &b){return (__int128_t)a.n*b.d > (__int128_t)b.n*a.d;}
    friend bool operator>=(const frac &a,const frac &b){return (__int128_t)a.n*b.d >= (__int128_t)b.n*a.d;}
    friend bool operator<(const frac &a,const frac &b){return (__int128_t)a.n*b.d < (__int128_t)b.n*a.d;}
    friend bool operator<=(const frac &a,const frac &b){return (__int128_t)a.n*b.d <= (__int128_t)b.n*a.d;}

    frac &operator=(const frac &b) = default;
    frac operator+=(const frac &b){return *this=*this+b;}
    frac operator-=(const frac &b){return *this=*this-b;}
    frac operator*=(const frac &b){return *this=*this*b;}
    frac operator/=(const frac &b){return *this=*this/b;}
    frac operator++(int){*this += frac(1); return *this;}
    frac operator--(int){*this -= frac(1); return *this;}

    double decimal(){return (n+0.0)/d;}
    long double decimall(){return ((long double)n)/d;}
    long long num(){return n;} long long den(){return d;}
    long long floor(){return n<0?(n+1)/d-1:n/d;}
    long long ceil(){return n>0?(n-1)/d+1:n/d;}
    frac inv(){return frac(n>=0?d:-d,n>=0?n:-n,false);}
};

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

    int A,B,H,W; cin >> A >> B >> H >> W;
    frac one = min(H*frac(H,A)*B,frac(W,B)*A*W);
    swap(A,B);
    frac two = min(H*frac(H,A)*B,frac(W,B)*A*W);
    if(one > two) cout << "Non-rotating" << endl;
    else if(one == two) cout << "Same" << endl;
    else cout << "Rotating" << endl;
}