#943986 (C++17) No.2602 Real Collider

提出ソース

結果

問題	No.2602 Real Collider
ユーザー	maeshun
提出日時	2024-01-13 14:38:02
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	WA
実行時間	-
コード長	5,435 bytes
コンパイル時間	4,778 ms
コンパイル使用メモリ	268,660 KB
実行使用メモリ	6,676 KB
最終ジャッジ日時	2024-01-13 14:38:22
合計ジャッジ時間	19,585 ms
ジャッジサーバーID （参考情報）	judge12 / judge13

このコードへのチャレンジ
（要ログイン）

テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 6,676 KB
testcase_01	WA	-
testcase_02	AC	1 ms 6,676 KB
testcase_03	AC	2 ms 6,676 KB
testcase_04	AC	2 ms 6,676 KB
testcase_05	AC	2 ms 6,676 KB
testcase_06	AC	2 ms 6,676 KB
testcase_07	AC	2 ms 6,676 KB
testcase_08	AC	2 ms 6,676 KB
testcase_09	AC	2 ms 6,676 KB
testcase_10	AC	370 ms 6,676 KB
testcase_11	AC	137 ms 6,676 KB
testcase_12	WA	-
testcase_13	WA	-
testcase_14	WA	-
testcase_15	AC	98 ms 6,676 KB
testcase_16	AC	156 ms 6,676 KB
testcase_17	AC	173 ms 6,676 KB
testcase_18	WA	-
testcase_19	WA	-
testcase_20	AC	205 ms 6,676 KB
testcase_21	WA	-
testcase_22	WA	-
testcase_23	WA	-
testcase_24	WA	-
testcase_25	WA	-
testcase_26	AC	104 ms 6,676 KB
testcase_27	WA	-
testcase_28	AC	169 ms 6,676 KB
testcase_29	WA	-
testcase_30	WA	-
testcase_31	AC	157 ms 6,676 KB
testcase_32	AC	134 ms 6,676 KB
testcase_33	AC	156 ms 6,676 KB
testcase_34	AC	172 ms 6,676 KB
testcase_35	AC	98 ms 6,676 KB
testcase_36	AC	100 ms 6,676 KB
testcase_37	AC	170 ms 6,676 KB
testcase_38	AC	178 ms 6,676 KB
testcase_39	AC	170 ms 6,676 KB
testcase_40	AC	82 ms 6,676 KB
testcase_41	AC	195 ms 6,676 KB
testcase_42	AC	152 ms 6,676 KB
testcase_43	AC	154 ms 6,676 KB
testcase_44	AC	198 ms 6,676 KB
testcase_45	AC	124 ms 6,676 KB
testcase_46	AC	116 ms 6,676 KB
testcase_47	AC	175 ms 6,676 KB
testcase_48	AC	132 ms 6,676 KB
testcase_49	AC	113 ms 6,676 KB
testcase_50	AC	91 ms 6,676 KB
testcase_51	AC	93 ms 6,676 KB
testcase_52	AC	67 ms 6,676 KB
testcase_53	AC	161 ms 6,676 KB
testcase_54	AC	126 ms 6,676 KB
testcase_55	AC	139 ms 6,676 KB
testcase_56	AC	137 ms 6,676 KB
testcase_57	AC	127 ms 6,676 KB
testcase_58	AC	52 ms 6,676 KB
testcase_59	AC	152 ms 6,676 KB
testcase_60	AC	141 ms 6,676 KB
testcase_61	AC	107 ms 6,676 KB
testcase_62	AC	163 ms 6,676 KB
testcase_63	AC	186 ms 6,676 KB
testcase_64	AC	210 ms 6,676 KB
testcase_65	AC	106 ms 6,676 KB
testcase_66	AC	171 ms 6,676 KB
testcase_67	AC	80 ms 6,676 KB
testcase_68	AC	95 ms 6,676 KB
testcase_69	AC	67 ms 6,676 KB
testcase_70	AC	80 ms 6,676 KB
testcase_71	AC	102 ms 6,676 KB
testcase_72	AC	150 ms 6,676 KB
testcase_73	AC	125 ms 6,676 KB
testcase_74	AC	158 ms 6,676 KB
testcase_75	AC	170 ms 6,676 KB
testcase_76	AC	147 ms 6,676 KB
testcase_77	AC	153 ms 6,676 KB
testcase_78	AC	190 ms 6,676 KB
testcase_79	AC	164 ms 6,676 KB
testcase_80	AC	190 ms 6,676 KB

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

raw source code

#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";
            }
        }
    }
    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";
            }
        }
    }
    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";
            }
        }
    }
    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;
}

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結果

テストケース

ソースコード