#522846 (C++17) No.1144 Triangles

提出ソース

結果

問題	No.1144 Triangles
ユーザー	👑 emthrm
提出日時	2020-08-01 02:24:00
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	416 ms / 3,000 ms
コード長	5,381 bytes
コンパイル時間	1,975 ms
コンパイル使用メモリ	217,088 KB
実行使用メモリ	6,948 KB
最終ジャッジ日時	2024-07-07 01:30:36
合計ジャッジ時間	8,064 ms
ジャッジサーバーID （参考情報）	judge5 / judge2

このコードへのチャレンジ
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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 6,812 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	1 ms 6,940 KB
testcase_03	AC	1 ms 6,940 KB
testcase_04	AC	398 ms 6,944 KB
testcase_05	AC	416 ms 6,940 KB
testcase_06	AC	414 ms 6,944 KB
testcase_07	AC	403 ms 6,940 KB
testcase_08	AC	409 ms 6,940 KB
testcase_09	AC	2 ms 6,944 KB
testcase_10	AC	2 ms 6,944 KB
testcase_11	AC	2 ms 6,944 KB
testcase_12	AC	1 ms 6,940 KB
testcase_13	AC	2 ms 6,940 KB
testcase_14	AC	381 ms 6,948 KB
testcase_15	AC	365 ms 6,944 KB
testcase_16	AC	393 ms 6,940 KB
testcase_17	AC	402 ms 6,944 KB
testcase_18	AC	390 ms 6,940 KB
testcase_19	AC	40 ms 6,940 KB
testcase_20	AC	4 ms 6,940 KB
testcase_21	AC	3 ms 6,940 KB
testcase_22	AC	408 ms 6,940 KB
testcase_23	AC	23 ms 6,948 KB
testcase_24	AC	374 ms 6,944 KB
testcase_25	AC	122 ms 6,940 KB
testcase_26	AC	14 ms 6,940 KB
testcase_27	AC	5 ms 6,944 KB
testcase_28	AC	76 ms 6,944 KB

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ソースコード

raw source code

#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
const int INF = 0x3f3f3f3f;
const ll LINF = 0x3f3f3f3f3f3f3f3fLL;
const double EPS = 1e-8;
const int MOD = 1000000007;
// const int MOD = 998244353;
const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
const int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(20);
  }
} iosetup;

int mod = MOD;
struct ModInt {
  unsigned val;
  ModInt(): val(0) {}
  ModInt(ll x) : val(x >= 0 ? x % mod : x % mod + mod) {}
  ModInt pow(ll exponent) const {
    ModInt tmp = *this, res = 1;
    while (exponent > 0) {
      if (exponent & 1) res *= tmp;
      tmp *= tmp;
      exponent >>= 1;
    }
    return res;
  }
  ModInt &operator+=(const ModInt &x) { if((val += x.val) >= mod) val -= mod; return *this; }
  ModInt &operator-=(const ModInt &x) { if((val += mod - x.val) >= mod) val -= mod; return *this; }
  ModInt &operator*=(const ModInt &x) { val = static_cast<unsigned long long>(val) * x.val % mod; return *this; }
  ModInt &operator/=(const ModInt &x) {
    // assert(__gcd(static_cast<int>(x.val), mod) == 1);
    unsigned a = x.val, b = mod; int u = 1, v = 0;
    while (b) {
      unsigned tmp = a / b;
      swap(a -= tmp * b, b);
      swap(u -= tmp * v, v);
    }
    return *this *= u;
  }
  bool operator==(const ModInt &x) const { return val == x.val; }
  bool operator!=(const ModInt &x) const { return val != x.val; }
  bool operator<(const ModInt &x) const { return val < x.val; }
  bool operator<=(const ModInt &x) const { return val <= x.val; }
  bool operator>(const ModInt &x) const { return val > x.val; }
  bool operator>=(const ModInt &x) const { return val >= x.val; }
  ModInt &operator++() { if (++val == mod) val = 0; return *this; }
  ModInt operator++(int) { ModInt res = *this; ++*this; return res; }
  ModInt &operator--() { val = (val == 0 ? mod : val) - 1; return *this; }
  ModInt operator--(int) { ModInt res = *this; --*this; return res; }
  ModInt operator+() const { return *this; }
  ModInt operator-() const { return ModInt(val ? mod - val : 0); }
  ModInt operator+(const ModInt &x) const { return ModInt(*this) += x; }
  ModInt operator-(const ModInt &x) const { return ModInt(*this) -= x; }
  ModInt operator*(const ModInt &x) const { return ModInt(*this) *= x; }
  ModInt operator/(const ModInt &x) const { return ModInt(*this) /= x; }
  friend ostream &operator<<(ostream &os, const ModInt &x) { return os << x.val; }
  friend istream &operator>>(istream &is, ModInt &x) { ll val; is >> val; x = ModInt(val); return is; }
};
ModInt abs(const ModInt &x) { return x; }
struct Combinatorics {
  int val; // "val!" and "mod" must be disjoint.
  vector<ModInt> fact, fact_inv, inv;
  Combinatorics(int val = 10000000) : val(val), fact(val + 1), fact_inv(val + 1), inv(val + 1) {
    fact[0] = 1;
    FOR(i, 1, val + 1) fact[i] = fact[i - 1] * i;
    fact_inv[val] = ModInt(1) / fact[val];
    for (int i = val; i > 0; --i) fact_inv[i - 1] = fact_inv[i] * i;
    FOR(i, 1, val + 1) inv[i] = fact[i - 1] * fact_inv[i];
  }
  ModInt nCk(int n, int k) const {
    if (n < 0 || n < k || k < 0) return ModInt(0);
    // assert(n <= val && k <= val);
    return fact[n] * fact_inv[k] * fact_inv[n - k];
  }
  ModInt nPk(int n, int k) const {
    if (n < 0 || n < k || k < 0) return ModInt(0);
    // assert(n <= val);
    return fact[n] * fact_inv[n - k];
  }
  ModInt nHk(int n, int k) const {
    if (n < 0 || k < 0) return ModInt(0);
    return k == 0 ? ModInt(1) : nCk(n + k - 1, k);
  }
};

void argument_sort(vector<pair<int, int>> &ps) {
  using Point = pair<int, int>;
  vector<Point> orthant[4];
  for (const Point &p : ps) {
    if (p.second >= 0) {
      orthant[p.first >= 0 ? 2 : 3].emplace_back(p);
    } else {
      orthant[p.first >= 0].emplace_back(p);
    }
  }
  ps.clear();
  REP(i, 4) {
    if (i == 2) {
      sort(ALL(orthant[i]), [](const Point &a, const Point &b) {
        if (a.first == 0 && a.second == 0) return !(b.first == 0 && b.second == 0);
        if (b.first == 0 && b.second == 0) return false;
        return 1LL * a.first * b.second - 1LL * a.second * b.first > 0;
      });
    } else {
      sort(ALL(orthant[i]), [](const Point &a, const Point &b) { return 1LL * a.first * b.second - 1LL * a.second * b.first > 0; });
    }
    for (const Point &p : orthant[i]) ps.emplace_back(p);
  }
}

int main() {
  int n; cin >> n;
  vector<int> x(n), y(n); REP(i, n) cin >> x[i] >> y[i];
  ModInt ans = 0;
  REP(i, n) {
    vector<pair<int, int>> p;
    REP(j, n) {
      if (x[i] == x[j] && y[i] == y[j]) continue;
      int dx = x[j] - x[i], dy = y[j] - y[i];
      if (dy < 0) {
        dx = -dx;
        dy = -dy;
      }
      p.emplace_back(dx, dy);
    }
    argument_sort(p);
    ModInt vx = 0, vy = 0;
    for (auto [xi, yi] : p) {
      ans += vx * yi - vy * xi;
      vx += xi;
      vy += yi;
    }
  }
  cout << ans / 3 << '\n';
  return 0;
}

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結果

テストケース

ソースコード