#943988 (C++17) No.2602 Real Collider

• 問題: No.2602 Real Collider
• ユーザー: maeshun
• 提出日時: 2024-01-13 14:39:30
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 388 ms / 2,000 ms
• コード長: 5,489 bytes
• コンパイル時間: 4,583 ms
• コンパイル使用メモリ: 267,508 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-09-28 01:29:42
• 合計ジャッジ時間: 19,235 ms
• ジャッジサーバーID （参考情報）: judge4 / judge1

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,376 KB
testcase_02	AC	2 ms; 5,376 KB
testcase_03	AC	2 ms; 5,376 KB
testcase_04	AC	2 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	2 ms; 5,376 KB
testcase_07	AC	2 ms; 5,376 KB
testcase_08	AC	2 ms; 5,376 KB
testcase_09	AC	2 ms; 5,376 KB
testcase_10	AC	388 ms; 5,376 KB
testcase_11	AC	143 ms; 5,376 KB
testcase_12	AC	182 ms; 5,376 KB
testcase_13	AC	88 ms; 5,376 KB
testcase_14	AC	191 ms; 5,376 KB
testcase_15	AC	102 ms; 5,376 KB
testcase_16	AC	163 ms; 5,376 KB
testcase_17	AC	184 ms; 5,376 KB
testcase_18	AC	128 ms; 5,376 KB
testcase_19	AC	157 ms; 5,376 KB
testcase_20	AC	212 ms; 5,376 KB
testcase_21	AC	124 ms; 5,376 KB
testcase_22	AC	149 ms; 5,376 KB
testcase_23	AC	97 ms; 5,376 KB
testcase_24	AC	140 ms; 5,376 KB
testcase_25	AC	149 ms; 5,376 KB
testcase_26	AC	108 ms; 5,376 KB
testcase_27	AC	169 ms; 5,376 KB
testcase_28	AC	176 ms; 5,376 KB
testcase_29	AC	147 ms; 5,376 KB
testcase_30	AC	159 ms; 5,376 KB
testcase_31	AC	162 ms; 5,376 KB
testcase_32	AC	140 ms; 5,376 KB
testcase_33	AC	165 ms; 5,376 KB
testcase_34	AC	167 ms; 5,376 KB
testcase_35	AC	103 ms; 5,376 KB
testcase_36	AC	105 ms; 5,376 KB
testcase_37	AC	178 ms; 5,376 KB
testcase_38	AC	184 ms; 5,376 KB
testcase_39	AC	184 ms; 5,376 KB
testcase_40	AC	88 ms; 5,376 KB
testcase_41	AC	208 ms; 5,376 KB
testcase_42	AC	164 ms; 5,376 KB
testcase_43	AC	163 ms; 5,376 KB
testcase_44	AC	207 ms; 5,376 KB
testcase_45	AC	128 ms; 5,376 KB
testcase_46	AC	122 ms; 5,376 KB
testcase_47	AC	186 ms; 5,376 KB
testcase_48	AC	135 ms; 5,376 KB
testcase_49	AC	116 ms; 5,376 KB
testcase_50	AC	92 ms; 5,376 KB
testcase_51	AC	98 ms; 5,376 KB
testcase_52	AC	70 ms; 5,376 KB
testcase_53	AC	170 ms; 5,376 KB
testcase_54	AC	131 ms; 5,376 KB
testcase_55	AC	145 ms; 5,376 KB
testcase_56	AC	145 ms; 5,376 KB
testcase_57	AC	137 ms; 5,376 KB
testcase_58	AC	53 ms; 5,376 KB
testcase_59	AC	162 ms; 5,376 KB
testcase_60	AC	149 ms; 5,376 KB
testcase_61	AC	112 ms; 5,376 KB
testcase_62	AC	172 ms; 5,376 KB
testcase_63	AC	192 ms; 5,376 KB
testcase_64	AC	218 ms; 5,376 KB
testcase_65	AC	113 ms; 5,376 KB
testcase_66	AC	179 ms; 5,376 KB
testcase_67	AC	84 ms; 5,376 KB
testcase_68	AC	101 ms; 5,376 KB
testcase_69	AC	70 ms; 5,376 KB
testcase_70	AC	84 ms; 5,376 KB
testcase_71	AC	105 ms; 5,376 KB
testcase_72	AC	165 ms; 5,376 KB
testcase_73	AC	134 ms; 5,376 KB
testcase_74	AC	163 ms; 5,376 KB
testcase_75	AC	179 ms; 5,376 KB
testcase_76	AC	154 ms; 5,376 KB
testcase_77	AC	167 ms; 5,376 KB
testcase_78	AC	200 ms; 5,376 KB
testcase_79	AC	175 ms; 5,376 KB
testcase_80	AC	200 ms; 5,376 KB

ソースコード

#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
#define rep(i, n) for(int i=0;i<(n);++i)
#define rep1(i, n) for(int i=1;i<=(n);i++)
#define ll long long
using mint = modint998244353;
using P = pair<ll,ll>;
using lb = long double;
using T = tuple<ll, ll, ll>;
#ifdef LOCAL
#  include <debug_print.hpp>
#  define dbg(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#  define dbg(...) (static_cast<void>(0))
#endif

template<typename T>
struct Matrix {
  int h, w;
  vector<vector<T>> d;
  Matrix() {}
  //初期化のときは Matrix<> a(h, w)
  Matrix(int h, int w, T val=0): h(h), w(w), d(h, vector<T>(w,val)) {}
  Matrix& unit() {
    assert(h == w);
    rep(i,h) d[i][i] = 1;
    return *this;
  }
  const vector<T>& operator[](int i) const { return d[i];}
  vector<T>& operator[](int i) { return d[i];}
  Matrix operator*(const Matrix& a) const {
    assert(w == a.h);
    Matrix r(h, a.w);
    rep(i,h)rep(k,w)rep(j,a.w) {
      r[i][j] += d[i][k]*a[k][j];
    }
    return r;
  }
  //Matcix<> newa = a.pow(k)と使う
  Matrix pow(long long t) const {
    assert(h == w);
    if (!t) return Matrix(h,h).unit();
    if (t == 1) return *this;
    Matrix r = pow(t>>1);
    r = r*r;
    if (t&1) r = r*(*this);
    return r;
  }
};

// p/q
struct fraction{
    ll p,q;
    fraction(ll P = 0, ll Q = 1): p(P), q(Q){}
    bool operator<(const fraction &other)const{
        return p*other.q < other.p*q;
    }
    bool operator<=(const fraction &other)const{
        return p*other.q <= other.p*q;
    }
};

int main()
{
    int q;
    cin >> q;
    ll x1, y1, x2, y2, x3, y3;
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
    ll a = (x1-x2)*(x1-x2)+(y1-y2)*(y1-y2);
    ll b = (x2-x3)*(x2-x3)+(y2-y3)*(y2-y3);
    ll c = (x3-x1)*(x3-x1)+(y3-y1)*(y3-y1);
    __int128_t r;
    if(a+b<c){
        __int128_t Mx = max(x1,x3);
        __int128_t mx = min(x1,x3);
        __int128_t My = max(y1,y3);
        __int128_t my = min(y1,y3);
        r = (Mx-mx) * (Mx-mx) + (My-my)*(My-my);
        __int128_t xg = (mx+Mx);
        __int128_t yg = (my+My);
        dbg(r);
        rep(i,q){
            ll X, Y;
            cin >> X >> Y;
            __int128_t x = X*2 ;
            __int128_t y = Y*2 ;
            __int128_t R = (xg-x)*(xg-x) + (yg-y) * (yg-y);
            if(R<=r) {
                cout << "Yes" << "\n";
            }
            else{
                cout << "No" << "\n";
            }
        }
        return 0;
    }
    else if(a+c<b){
        __int128_t Mx = max(x2,x3);
        __int128_t mx = min(x2,x3);
        __int128_t My = max(y2,y3);
        __int128_t my = min(y2,y3);
        r = (Mx-mx) * (Mx-mx) + (My-my)*(My-my);
        __int128_t xg = (mx+Mx);
        __int128_t yg = (my+My);
        dbg(r);
        rep(i,q){
            ll X, Y;
            cin >> X >> Y;
            __int128_t x = X*2 ;
            __int128_t y = Y*2 ;
            __int128_t R = (xg-x)*(xg-x) + (yg-y) * (yg-y);
            if(R<=r) {
                cout << "Yes" << "\n";
            }
            else{
                cout << "No" << "\n";
            }
        }
        return 0;
    }
    else if(b+c<a){
        __int128_t Mx = max(x1,x2);
        __int128_t mx = min(x1,x2);
        __int128_t My = max(y1,y2);
        __int128_t my = min(y1,y2);
        r = (Mx-mx) * (Mx-mx) + (My-my)*(My-my);
        __int128_t xg = (mx+Mx);
        __int128_t yg = (my+My);
        dbg(r);
        rep(i,q){
            ll X, Y;
            cin >> X >> Y;
            __int128_t x = X*2 ;
            __int128_t y = Y*2 ;
            __int128_t R = (xg-x)*(xg-x) + (yg-y) * (yg-y);
            if(R<=r) {
                cout << "Yes" << "\n";
            }
            else{
                cout << "No" << "\n";
            }
        }
        return 0;
    }
    if((x2-x1)*(y3-y1) == (x3-x1)*(y2-y1)){
        __int128_t Mx = max(x1, max(x2,x3));
        __int128_t mx = min(x1, min(x2, x3));
        __int128_t My = max(y1,max(y2, y3));
        __int128_t my = min(y1,min(y2, y3));
        r = (Mx-mx) * (Mx-mx) + (My-my)*(My-my);
        __int128_t xg = (mx+Mx);
        __int128_t yg = (my+My);
        dbg(r);
        rep(i,q){
            ll X, Y;
            cin >> X >> Y;
            __int128_t x = X*2 ;
            __int128_t y = Y*2 ;
            __int128_t R = (xg-x)*(xg-x) + (yg-y) * (yg-y);
            if(R<=r) {
                cout << "Yes" << "\n";
            }
            else{
                cout << "No" << "\n";
            }
        }
    }
    else{
        __int128_t det = (x2-x1)*(y3-y1) - (x3-x1)*(y2-y1);
        Matrix<__int128_t> m(2,2);
        m[1][1] = x2-x1;
        m[0][1] = -y2+y1;
        m[0][0] = y3-y1;
        m[1][0] = -x3+x1;
        Matrix<__int128_t> f(2,1);
        f[0][0] = x2*x2+y2*y2 - x1*x1-y1*y1;
        f[1][0] = x3*x3+y3*y3 - x1*x1-y1*y1;
        dbg(det);
        Matrix<__int128_t> e = m*f;
        r = (e[0][0]-2*det*x1) * (e[0][0]-2*det*x1) + (e[1][0]-2*det*y1) * (e[1][0] - 2*det*y1);
        dbg(e[0][0], e[1][0]);
        dbg(r);
        rep(i,q){
            ll X, Y;
            cin >> X >> Y;
            __int128_t x = X*2*det ;
            __int128_t y = Y*2*det ;
            __int128_t R = (e[0][0]-x)*(e[0][0]-x) + (e[1][0]-y) * (e[1][0]-y);
            dbg(r, R);
            if(R<=r) {
                cout << "Yes" << "\n";
            }
            else{
                cout << "No" << "\n";
            }
        }
    }
    return 0;
}