#1181548 (C++23) No.3664 Manhattan Circumcenter

• 問題: No.3664 Manhattan Circumcenter
• ユーザー: Kude
• 提出日時: 2026-08-30 16:27:00
• 言語: C++23 (gcc 15.3.0 + boost 1.92.0)
• 結果: WA
• 実行時間: -
• コード長: 6,984 bytes
• コンパイル時間: 2,885 ms
• コンパイル使用メモリ: 364,448 KB
• 実行使用メモリ: 6,528 KB
• 最終ジャッジ日時: 2026-08-30 16:27:12
• 合計ジャッジ時間: 6,988 ms
• ジャッジサーバーID （参考情報）: judge2_0 / judge3_0

ファイルパターン	結果
sample	AC * 3
other	AC * 17 WA * 21 RE * 19

ソースコード

#include<bits/stdc++.h>
namespace {
#pragma GCC diagnostic ignored "-Wunused-function"
#include<atcoder/all>
#pragma GCC diagnostic warning "-Wunused-function"
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--)
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; }
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;
struct Vec {
  using etype = long long;  // type of elements
  using ptype = long long;  // type of product results
  etype x = 0, y = 0;
  constexpr Vec operator-() const { return {-x, -y}; }
  friend constexpr Vec operator+(const Vec& a, const Vec& b) { return {a.x + b.x, a.y + b.y}; }
  friend constexpr Vec operator-(const Vec& a, const Vec& b) { return {a.x - b.x, a.y - b.y}; }
  friend constexpr ptype operator*(const Vec& a, const Vec& b) { return (ptype)a.x * b.y - (ptype)a.y * b.x; }
  template <class T, enable_if_t<is_integral_v<T>>* = nullptr>
  friend constexpr Vec operator*(T c, const Vec& a) { return {c * a.x, c * a.y}; }
  template <class T, enable_if_t<is_integral_v<T>>* = nullptr>
  friend constexpr Vec operator*(const Vec& a, T c) { return c * a; }
  template <class T, enable_if_t<is_integral_v<T>>* = nullptr>
  friend constexpr Vec operator/(const Vec& a, T c) { return {a.x / c, a.y / c}; }
  Vec& operator+=(const Vec& a) { x += a.x; y += a.y; return *this; }
  Vec& operator-=(const Vec& a) { x -= a.x; y -= a.y; return *this; }
  template <class T, enable_if_t<is_integral_v<T>>* = nullptr>
  Vec& operator*=(T c) { x *= c; y *= c; return *this; }
  friend constexpr bool operator==(const Vec& a, const Vec& b) { return a.x == b.x && a.y == b.y; }
  friend constexpr bool operator!=(const Vec& a, const Vec& b) { return !(a == b); }
  constexpr int quadrant() const { return y > 0 ? (x > 0 ? 0 : 1) : y < 0 ? (x < 0 ? 2 : 3) : (x > 0 ? 0 : x < 0 ? 2 : -1); }
  friend constexpr bool operator<(const Vec& a, const Vec& b) {
    int qa = a.quadrant(), qb = b.quadrant();
    if (qa != qb) return qa < qb;
    ptype p1 = (ptype)a.x * b.y, l2 = (ptype)a.y * b.x;
    return p1 > l2 || (p1 == l2 && (a.x != 0 ? abs(a.x) < abs(b.x) : abs(a.y) < abs(b.y)));
  }
  friend constexpr bool operator>(const Vec& a, const Vec& b) { return b < a; }
  friend constexpr bool operator<=(const Vec& a, const Vec& b) { return !(b < a); }
  friend constexpr bool operator>=(const Vec& a, const Vec& b) { return !(a < b); }
  constexpr int ccw(const Vec& u, const Vec& v) const { ptype p = (u - *this) * (v - *this); return p > 0 ? 1 : p < 0 ? -1 : 0; }
  static constexpr bool intersects(const Vec& a, const Vec& b, const Vec& c, const Vec& d) { return a.ccw(b, c) * a.ccw(b, d) <= 0 && c.ccw(d, a) * c.ccw(d, b) <= 0; }
  constexpr bool parallel_to(const Vec& a) const { return (ptype)x * a.y == (ptype)y * a.x; }
  constexpr ptype dot(const Vec& a) const { return (ptype)x * a.x + (ptype)y * a.y; }
  constexpr ptype norm2() const { return (ptype)x * x + (ptype)y * y; }
  constexpr bool is_zero() const { return x == 0 && y == 0; }
  constexpr Vec normalize() const {
    if (x == 0) return Vec{0, (y == 0 ? 0 : 1)};
    etype g = gcd(x, y);
    return *this / (x > 0 ? g : -g);
  }
  constexpr Vec rot90() const { return {-y, x}; }
  // exclusive
  constexpr bool in_between(const Vec& a, const Vec& b) const {
    Vec x = a - *this, y = b - *this;
    return x.parallel_to(y) && x.dot(y) < 0;
  }
  friend std::ostream& operator<< (std::ostream& os, const Vec& t) { return os << t.x << ' ' << t.y; }
  friend std::istream& operator>> (std::istream& os, Vec& t) { return os >> t.x >> t.y; }
};

} int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  Vec a, b, c;
  cin >> a >> b >> c;
  a *= 4;
  b *= 4;
  c *= 4;
  if (a == b || b == c || c == a) {
    cout << -1 << '\n';
    return 0;
  }
  constexpr int INF = 1001001001;
  auto f = [&](Vec a, Vec b, Vec c) {
    bool xflip = a.x > b.x;
    bool yflip = a.y > b.y;
    if (xflip) a.x *= -1, b.x *= -1, c.x *= -1;
    if (yflip) a.y *= -1, b.y *= -1, c.y *= -1;
    int dx = b.x - a.x, dy = b.y - a.y;
    bool dflip = dx > dy;
    if (dflip) swap(dx, dy), swap(a.x, a.y), swap(b.x, b.y), swap(c.x, c.y);
    int d = (dx + dy) / 2;
    Vec u = {a.x, a.y + d}, v = {b.x, b.y - d};
    vector<pair<Vec, Vec>> res;
    res.emplace_back(u, v);
    res.emplace_back(Vec{-INF, u.y}, u);
    res.emplace_back(Vec{INF, v.y}, v);
    if (dx == dy) {
      if (!(a.x <= c.x && c.x <= b.x && a.y <= c.y && c.y <= b.y)) {
        cout << -1 << '\n';
        exit(0);
      }
    }
    if (dflip) for (auto& [x, y] : res) swap(x, y);
    if (yflip) for (auto& [x, y] : res) y *= -1;
    if (xflip) for (auto& [x, y] : res) x *= -1;
    return res;
  };
  auto s1 = f(a, b, c);
  auto s2 = f(a, c, b);
  vector<Vec> ans;
  rep(i, ssize(s1)) rep(j, ssize(s2)) {
    auto [u1,v1] = s1[i];
    auto [u2,v2] = s2[j];
    auto d1 = u1 - v1;
    auto d2 = u2 - v2;
    if (d1 * d2 == 0) {
      if (d1 == Vec{0, 0}) swap(d1, d2);
      if (d1 == Vec{0, 0}) {
        if (u1 == u2) ans.emplace_back(u1);
        continue;
      }
      auto h = d1.rot90();
      if (u1 * h != u2 * h) continue;
      ll l1 = d1 * u1, r1 = d1 * v1;
      ll l2 = d1 * u2, r2 = d1 * v2;
      if (l1 > r1) swap(l1, r1);
      if (l2 > r2) swap(l2, r2);
      if (l1 < r2 && l2 < r1) {
        cout << -1 << '\n';
        return 0;
      }
      rep(_, 2) {
        rep(_, 2) {
          if (u1 == u2) ans.emplace_back(u1);
          swap(u2, v2);
        }
        swap(u1, v1);
      }
    } else {
      ll x1 = (ll)u1.y * 1 - (ll)1 * v1.y;
      ll y1 = (ll)1 * v1.x - (ll)u1.x * 1;
      ll z1 = (ll)u1.x * v1.y - (ll)u1.y * v1.x;
      ll g = gcd(gcd(x1, y1), z1);
      x1 /= g, y1 /= g, z1 /= g;

      ll x2 = (ll)u2.y * 1 - (ll)1 * v2.y;
      ll y2 = (ll)1 * v2.x - (ll)u2.x * 1;
      ll z2 = (ll)u2.x * v2.y - (ll)u2.y * v2.x;
      g = gcd(gcd(x2, y2), z2);
      x2 /= g, y2 /= g, z2 /= g;

      ll x = (ll)y1 * z2 - (ll)z1 * y2;
      ll y = (ll)z1 * x2 - (ll)x1 * z2;
      ll z = (ll)x1 * y2 - (ll)y1 * x2;
      g = gcd(gcd(x, y), z);
      x /= g;
      y /= g;
      z /= g;
      if (z < 0) x *= -1, y *= -1, z *= -1;
      assert(z == 1);
      Vec p{x, y};
      bool ok = true;
      rep(_, 2) {
        ll l = u1 * d1, r = u2 * d1;
        if (l > r) swap(l, r);
        ll t = p * d1;
        ok &= l <= t && t <= r;
        swap(u1, u2);
        swap(v1, v2);
      }
      if (ok) ans.emplace_back(p);
    }
  }
  sort(all(ans));
  ans.erase(unique(all(ans)), ans.end());
  cout << ans.size() << '\n';
  for (auto [x, y] : ans) {
    cout << x / 4.0 << ' ' << y / 4.0 << '\n';
  }
}