Submission #673168

#	Time	Username	Problem	Language	Result	Execution time	Memory
673168		peijar	Bulldozer (JOI17_bulldozer)	C++17	25 / 100	2091 ms	141584 KiB

bulldozer

#include <bits/stdc++.h>
#define int long long
using namespace std;

template <typename T> struct Point {
  T x, y;

  Point() : x(0), y(0) {}

  Point(T _x, T _y) : x(_x), y(_y) {}

  Point operator+(const Point other) const {
    return Point(x + other.x, y + other.y);
  }
  Point operator-(const Point other) const {
    return Point(x - other.x, y - other.y);
  }

  Point operator*(const T lambda) const {
    return Point(x * lambda, y * lambda);
  }

  Point operator/(const T lambda) const {
    return Point(x / lambda, y / lambda);
  }

  bool operator<(const Point &other) const {
    return tie(x, y) < tie(other.x, other.y);
  }
  bool operator==(const Point &other) const {
    return tie(x, y) == tie(other.x, other.y);
  }
  bool operator>(const Point &other) const { return other < *this; }
  bool operator!=(const Point &other) const { return !(*this == other); }
  bool operator<=(const Point &other) const { return !(other < *this); }
  bool operator>=(const Point &other) const { return other <= *this; }

  friend ostream &operator<<(ostream &out, const Point &a) {
    return out << a.x << " " << a.y;
  }
  friend istream &operator>>(istream &in, Point &a) { return in >> a.x >> a.y; }
  friend T dot(const Point a, const Point b) { return a.x * b.x + a.y * b.y; }

  friend T cross(const Point a, const Point b) { return a.x * b.y - a.y * b.x; }

  friend T dis2(const Point a, const Point b) { return dot(b - a, b - a); }
};

using P = Point<int>;

struct Angle {
  int x, y;

  Angle() : x(0), y(0) {}
  Angle(int _x, int _y) : x(_x), y(_y) {}

  int half() const {
    assert(x or y);
    return y < 0 or (!y and x < 0);
  }

  friend bool operator<(Angle a, Angle b) {
    return make_pair(a.half(), a.y * b.x) < make_pair(b.half(), a.x * b.y);
  }

  friend bool operator==(Angle a, Angle b) { return !(a < b) and !(b < a); }
};

const int MAXN = 1e4;

int iDeb[MAXN], iFin[MAXN];
int prefMax[MAXN], suffMax[MAXN], rangeSum[MAXN], maxSum[MAXN];

void pull(int node) {
  prefMax[node] =
      max(prefMax[2 * node], rangeSum[2 * node] + prefMax[2 * node + 1]);
  suffMax[node] =
      max(suffMax[2 * node + 1], rangeSum[2 * node + 1] + suffMax[2 * node]);
  maxSum[node] = max({maxSum[2 * node], maxSum[2 * node + 1],
                      suffMax[2 * node] + prefMax[2 * node + 1]});
  rangeSum[node] = rangeSum[2 * node] + rangeSum[2 * node + 1];
}

void build(int node, int l, int r) {
  iDeb[node] = l, iFin[node] = r;
  if (l == r)
    return;
  int m = (l + r) / 2;
  build(2 * node, l, m);
  build(2 * node + 1, m + 1, r);
}

void upd(int node, int pos, int x) {
  if (iDeb[node] > pos or iFin[node] < pos)
    return;
  if (iDeb[node] == iFin[node]) {
    rangeSum[node] = x;
    prefMax[node] = suffMax[node] = maxSum[node] = max(0LL, x);
    return;
  }

  upd(2 * node, pos, x);
  upd(2 * node + 1, pos, x);
  pull(node);
}

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  int nbPoints;
  cin >> nbPoints;
  vector<P> points(nbPoints);
  vector<int> poids(nbPoints);
  for (int i = 0; i < nbPoints; ++i)
    cin >> points[i] >> poids[i];
  vector<Angle> angles;
  for (int i = 0; i < nbPoints; ++i)
    for (int j = i + 1; j < nbPoints; ++j) {
      P diff = points[j] - points[i];
      if (diff.y < 0 or (diff.y == 0 and diff.x < 0))
        diff = diff * (-1);
      angles.emplace_back(diff.x, diff.y);
    }
  for (int i = 0; i < nbPoints; ++i) {
    Angle a(points[i].x, points[i].y);
    if (a.y < 0 or (a.y == 0 and a.x < 0))
      a.x *= -1, a.y *= -1;
    if (points[i].x or points[i].y)
      angles.push_back(a);
  }
  sort(angles.begin(), angles.end());
  angles.resize(unique(angles.begin(), angles.end()) - angles.begin());
  int nbAngles = angles.size();
  vector<vector<int>> withAngles(nbAngles);

  for (int i = 0; i < nbPoints; ++i) {
    for (int j = i + 1; j < nbPoints; ++j) {
      P diff = points[j] - points[i];
      if (diff.y < 0 or (diff.y == 0 and diff.x < 0))
        diff = diff * (-1);
      Angle a(diff.x, diff.y);
      int id = lower_bound(angles.begin(), angles.end(), a) - angles.begin();
      withAngles[id].push_back(i);
      withAngles[id].push_back(j);
    }
  }

  vector<int> ordreInit(nbPoints);
  iota(ordreInit.begin(), ordreInit.end(), 0LL);
  build(1, 0, nbPoints - 1);

  const double theta = 1e-9;
  double costheta = cos(theta), sintheta = sin(theta);
  auto getComparator = [&](P dir) {
    using PP = Point<double>;
    PP dir2 = PP(dir.x * costheta - dir.y * sintheta,
                 dir.x * sintheta + dir.y * costheta);
    return [&points, dir, dir2](int i, int j) {
      if (cross(dir, points[i]) != cross(dir, points[j]))
        return cross(dir, points[i]) < cross(dir, points[j]);
      PP A(points[i].x, points[i].y);
      PP B(points[j].x, points[j].y);
      return cross(dir2, A) < cross(dir2, B);
      Angle a(points[i].x, points[i].y);
      Angle b(points[j].x, points[j].y);
      return a < b;
      if (cross(dir, points[i]) >= 0)
        return dot(dir, points[i]) > dot(dir, points[j]);
      return dot(dir, points[i]) < dot(dir, points[j]);
    };
  };

  for (int iAngle = 0; iAngle < nbAngles; ++iAngle) {
    sort(withAngles[iAngle].begin(), withAngles[iAngle].end());
    withAngles[iAngle].resize(
        unique(withAngles[iAngle].begin(), withAngles[iAngle].end()) -
        withAngles[iAngle].begin());
    P dir(angles[iAngle].x, angles[iAngle].y);
    sort(withAngles[iAngle].begin(), withAngles[iAngle].end(),
         getComparator(dir));
  }

  sort(ordreInit.begin(), ordreInit.end(), getComparator({1, 0}));
  for (int i = 0; i < nbPoints; ++i)
    upd(1, i, poids[ordreInit[i]]);
  vector<int> curPos(nbPoints);
  for (int i = 0; i < nbPoints; ++i)
    curPos[ordreInit[i]] = i;
  int ret = maxSum[1];
  /*for (int x : ordreInit)
    cout << x << ' ';
  cout << endl;*/

  for (int iAngle = 0; iAngle < nbAngles; ++iAngle) {
    vector<int> &toUpdate = withAngles[iAngle];
    vector<int> positions;
    for (int &x : toUpdate)
      positions.push_back(curPos[x]);
    sort(positions.begin(), positions.end());
    int nbUpd = positions.size();
    for (int i = 0; i < nbUpd; ++i) {
      upd(1, positions[i], poids[toUpdate[i]]);
      curPos[toUpdate[i]] = positions[i];
    }
    for (int i = 0; i < nbUpd; ++i)
      ordreInit[positions[i]] = toUpdate[i];
    /*cout << "-------------\n";
    cout << angles[iAngle].x << ' ' << angles[iAngle].y << endl;
    for (int x : toUpdate)
      cout << x << ' ';
    cout << endl;
    for (int x : ordreInit)
      cout << x << ' ';
    cout << endl;*/
    ret = max(ret, maxSum[1]);
  }
  cout << ret << endl;
}

• Subtask 1: 5 / 5
• Subtask 2: 20 / 20
• Subtask 3: 0 / 35
• Subtask 4: 0 / 20
• Subtask 5: 0 / 20