結果

問題 No.2602 Real Collider
ユーザー SSRS
提出日時 2024-01-12 22:34:55
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 398 ms / 2,000 ms
コード長 1,754 bytes
コンパイル時間 2,051 ms
コンパイル使用メモリ 193,320 KB
最終ジャッジ日時 2025-02-18 18:41:06
ジャッジサーバーID
（参考情報） 		judge4 / judge1
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 * 78
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 #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
struct point{
  long long x, y;
  point(){
  }
  point(long long x, long long y): x(x), y(y){
  }
  point operator -(point P){
    return point(x - P.x, y - P.y);
  }
  point operator *(long long k){
    return point(x * k, y * k);
  }
};
istream& operator >>(istream& is, point &P){
  is >> P.x >> P.y;
  return is;
}
long long norm_sq(point P){
  return P.x * P.x + P.y * P.y;
}
long long dot(point P, point Q){
  return P.x * Q.x + P.y * Q.y;
}
int main(){
  int Q;
  cin >> Q;
  point A, B, C;
  cin >> A >> B >> C;
  char c = '.';
  if (dot(B - A, C - A) < 0){
    c = 'A';
  }
  if (dot(C - B, A - B) < 0){
    c = 'B';
  }
  if (dot(A - C, B - C) < 0){
    c = 'C';
  }
  point P1, P2;
  long long mul;
  if (c != '.'){
    if (c == 'B'){
      swap(A, B);
    }
    if (c == 'C'){
      swap(A, C);
    }
    P1.x = B.x + C.x;
    P1.y = B.y + C.y;
    P2.x = B.x * 2;
    P2.y = B.y * 2;
    mul = 2;
  } else {
    long long X_num = norm_sq(A) * (B.y - C.y) + norm_sq(B) * (C.y - A.y) + norm_sq(C) * (A.y - B.y);
    long long Y_num = -(norm_sq(A) * (B.x - C.x) + norm_sq(B) * (C.x - A.x) + norm_sq(C) * (A.x - B.x));
    long long den = ((A.x - B.x) * (B.y - C.y) - (B.x - C.x) * (A.y - B.y)) * 2;
    P1.x = X_num;
    P1.y = Y_num;
    P2.x = A.x * den;
    P2.y = A.y * den;
    mul = den;
  }
  for (int i = 0; i < Q; i++){
    long long X, Y;
    cin >> X >> Y;
    X *= mul;
    Y *= mul;
    __int128_t d = (__int128_t) (X - P1.x) * (X - P1.x) + (__int128_t) (Y - P1.y) * (Y - P1.y);
    __int128_t r = (__int128_t) (P2.x - P1.x) * (P2.x - P1.x) + (__int128_t) (P2.y - P1.y) * (P2.y - P1.y);
    if (d <= r){
      cout << "Yes" << endl;
    } else {
      cout << "No" << endl;
    }
  }
}
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