oj.uz

답안 #300082

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
300082 2020-09-16T13:23:57 Z Mohammad_Yasser 시간이 돈 (balkan11_timeismoney) C++17
90 / 100
 2000 ms 512 KB 
#ifndef Local
#pragma GCC optimize("Ofast,no-stack-protector")
#pragma GCC target("sse4,sse4.2,popcnt,abm,mmx,avx")
#endif
#include <bits/stdc++.h>

using namespace std;

#define popCnt(x) (__builtin_popcountll(x))
#define sz(x) ((int)(x.size()))
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
typedef long long Long;
typedef float Double;

template <class U, class V>
istream& operator>>(istream& is, pair<U, V>& p) {
  is >> p.first >> p.second;
  return is;
}
template <class T>
istream& operator>>(istream& is, vector<T>& v) {
  for (auto& x : v) {
    is >> x;
  }
  return is;
}

template <class T>
ostream& operator<<(ostream& os, vector<T>& v) {
  for (auto& x : v) {
    os << x << " ";
  }
  return os;
}

set<int> elements;
multiset<int> gaps;

void addElement(int x) {
  auto nxt = elements.upper_bound(x);

  bool is_last = (nxt == end(elements));
  bool is_first = (nxt == begin(elements));

  auto prv = nxt;
  if (!is_first) --prv;

  if (!is_last && !is_first) {
    gaps.erase(gaps.find(*nxt - *prv));
  }
  if (!is_first) gaps.emplace(x - *prv);
  if (!is_last) gaps.emplace(*nxt - x);
  elements.emplace(x);
}

void eraseElement(int x) {
  elements.erase(x);
  auto nxt = elements.upper_bound(x);

  bool is_last = (nxt == end(elements));
  bool is_first = (nxt == begin(elements));

  auto prv = nxt;
  if (!is_first) --prv;

  if (!is_last) {
    gaps.erase(gaps.find(*nxt - x));
  }
  if (!is_first) {
    gaps.erase(gaps.find(x - *prv));
  }
  if (!is_last && !is_first) {
    gaps.emplace(*nxt - *prv);
  }
}

int solve() {
  if (elements.empty()) return 0;
  return *elements.rbegin() - *elements.begin() - *gaps.rbegin();
}

const Double EPS = 1e-10;

enum Relation { LESS_THAN, EQUAL, GREATER_THAN };

bool areEqual(Double x, Double y, Double eps = EPS) {
  auto diff = abs(x - y);
  x = abs(x), y = abs(y);
  if (diff <= eps) return true;
  if (min(x, y) <= eps) return false;
  return diff <= eps * max(x, y);
}

bool isZero(Double x, Double eps = EPS) { return abs(x) <= eps; }
bool isZero(Long x) { return x == 0; }

int compareDoubles(Double x, Double y, Double eps = EPS) {
  if (areEqual(x, y, eps)) return Relation::EQUAL;
  if (x < y) return Relation::LESS_THAN;
  return Relation::GREATER_THAN;
}

template <typename T = Double>
struct Point {
  typedef Point P;
  const static P Invalid;
  const static P Origin;

  T x = 0, y = 0;
  Point(T x, T y) : x(x), y(y) {}
  Point() {}
  pair<T, T> to_pair() const { return make_pair(x, y); }
  Point operator+(const Point& p) const { return Point{x + p.x, y + p.y}; }
  Point operator-(const Point& p) const { return Point{x - p.x, y - p.y}; }
  Point operator*(T c) const { return Point(x * c, y * c); }
  Point operator/(T c) const { return Point(x / c, y / c); }
  bool operator<(const Point& p) const {
    return (*this) != p && to_pair() < p.to_pair();
  }
  bool operator>(const Point& p) const { return (*this) != p && !(*this < p); }
  bool operator==(const Point& p) const {
    return isZero(this->x - p.x) && isZero(this->y - p.y);
  }
  bool operator!=(const Point& p) const { return !(*this == p); }
  T cross(const P& p) const { return x * p.y - y * p.x; }
  T cross(const P& a, const P& b) const { return (a - *this).cross(b - *this); }
  T dot(const P& p) const { return x * p.x + y * p.y; }
  P midPoint(const P& p) const { return ((*this) + p) / 2; }
  P getVector(const P& p) const { return p - (*this); }
  T dist2(const P& p) const { return getVector(p).dist2(); }
  T dist2() const { return (*this).dot(*this); }
  Double dist(const P& p) const { return sqrt(dist2(p)); }
  Double dist() const { return sqrt(dist2()); }
  friend istream& operator>>(istream& is, P& p) { return is >> p.x >> p.y; }

  friend ostream& operator<<(ostream& os, const P& p) {
    return os << p.x << " " << p.y;
  }
};

template <typename T>
const Point<T> Point<T>::Invalid = Point<T>(numeric_limits<T>::max(),
                                            numeric_limits<T>::max());
template <typename T>
const Point<T> Point<T>::Origin = Point<T>(0, 0);

typedef Point<Double> P;
const int N = 200;

struct DSU {
  int parent[N];
  void init() {
    for (int i = 0; i < N; ++i) {
      parent[i] = i;
    }
  }
  int getRoot(int x) {
    if (parent[x] == x) return x;
    return parent[x] = getRoot(parent[x]);
  }
  bool join(int x, int y) {
    x = getRoot(x);
    y = getRoot(y);
    if (x == y) return false;
    parent[x] = y;
    return true;
  }
};

struct Edge {
  int u, v;
  int t, c;
};

vector<Edge> edges;

struct Solution {
  uint t = 0, c = 0;
  vector<int> edges;
  uint score() const { return t * c; }
  bool operator<(const Solution& other) const {
    return score() < other.score();
  }
  bool operator==(const Solution& other) const {
    return t == other.t && c == other.c;
  }
};

Solution mst(const P& coeff) {
  vector<int> edge_inds(sz(edges));
  iota(all(edge_inds), 0);
  sort(all(edge_inds), [&](int i, int j) {
    return coeff.x * edges[i].t + coeff.y * edges[i].c <
           coeff.x * edges[j].t + coeff.y * edges[j].c;
  });
  static DSU dsu;
  dsu.init();
  Solution sol;
  for (int edge_ind : edge_inds) {
    auto& edge = edges[edge_ind];
    if (dsu.join(edge.u, edge.v)) {
      sol.t += edge.t, sol.c += edge.c;
      sol.edges.emplace_back(edge_ind);
    }
  }
  return sol;
}
Solution best;
void solve(const P& left_v, const P& right_v, const Solution& left_sol,
           const Solution& right_sol) {
  if (left_sol == right_sol || left_v.dist2(right_v) < 1e-7) return;
  P mid = left_v.midPoint(right_v);
  auto sol = mst(mid);
  best = min(best, sol);
  solve(left_v, mid, left_sol, sol);
  solve(mid, right_v, sol, right_sol);
}

int main() {
  ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
#ifdef Local
  freopen("test.in", "r", stdin);
#else
#define endl '\n'
#endif

  int n, m;
  cin >> n >> m;

  edges.resize(m);
  for (auto& edge : edges) {
    cin >> edge.u >> edge.v >> edge.t >> edge.c;
  }

  P left_v(0, 1);
  P right_v(1, 0);
  auto left_sol = mst(left_v);
  auto right_sol = mst(right_v);
  best = min(left_sol, right_sol);
  solve(left_v, right_v, left_sol, right_sol);
  cout << best.t << " " << best.c << endl;
  for (int ind : best.edges) {
    cout << edges[ind].u << " " << edges[ind].v << endl;
  }

  return 0;
}

Subtask #1
90.0 / 100.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 8 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 37 ms 384 KB Output is correct
15 Correct 25 ms 384 KB Output is correct
16 Correct 538 ms 504 KB Output is correct
17 Correct 577 ms 504 KB Output is correct
18 Correct 545 ms 504 KB Output is correct
19 Execution timed out 2088 ms 512 KB Time limit exceeded
20 Execution timed out 2090 ms 512 KB Time limit exceeded