oj.uz

답안 #619967

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
619967 2022-08-02T17:49:13 Z chuangsheep 시간이 돈 (balkan11_timeismoney) C++11
100 / 100
 484 ms 852 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long int;
using pii = pair<ll, ll>;
using Edge = array<ll, 5>;

struct DSU
{
  vector<ll> g;
  DSU(ll n) : g(n, -1) {}
  ll find(ll a)
  {
    if (g[a] < 0)
      return a;
    else
      return g[a] = find(g[a]);
  }
  bool unite(ll a, ll b)
  {
    a = find(a);
    b = find(b);
    if (a == b)
      return false;
    if (g[a] > g[b])
      swap(a, b);
    g[a] += g[b];
    g[b] = a;
    return true;
  }
};

pair<pii, vector<ll>> kruskal(ll n, vector<Edge> &edges, vector<ll> &weights)
{
  sort(begin(edges), end(edges), [&](const Edge &e1, const Edge &e2)
       { return weights[e1[4]] < weights[e2[4]]; });
  DSU dsu(n);
  vector<ll> mst;
  ll t = 0;
  ll c = 0;
  for (Edge &e : edges)
  {
    if (dsu.unite(e[0], e[1]))
    {
      t += e[2];
      c += e[3];
      mst.push_back(e[4]);
    }
  }
  return {{t, c}, mst};
}

ll area(pii A, pii B, pii C)
{
  pii AB = {B.first - A.first, B.second - A.second};
  pii AC = {C.first - A.first, C.second - A.second};
  return AB.first * AC.second - AB.second * AC.first;
}

int main()
{
#if defined(DEBUG) && !defined(ONLINE_JUDGE)
  // DEBUG
  cerr << "DEBUG flag set - see test.out for output\n";
  freopen("/home/chuang/shared-drives/G:/repos/cp/ois/boi11/timeismoney/test.in", "r", stdin);
  freopen("/home/chuang/shared-drives/G:/repos/cp/ois/boi11/timeismoney/test.out", "w", stdout);
#else
  cin.tie(0)->sync_with_stdio(false);
#endif

  ll N, M;
  cin >> N >> M;

  vector<Edge> edges(M);
  for (ll i = 0; i < M; i++)
  {
    ll x, y, t, c;
    cin >> x >> y >> t >> c;
    edges[i] = {x, y, t, c, i};
  }

  vector<ll> best_MST;
  pii best_V = {1e8, 1e8};
  vector<ll> current_MST;

  vector<ll> weights(M);
  for (ll i = 0; i < M; i++)
  {
    weights[edges[i][4]] = edges[i][2];
  }
  pii A, B;
  tie(A, best_MST) = kruskal(N, edges, weights);
  best_V = A;
  for (ll i = 0; i < M; i++)
  {
    weights[edges[i][4]] = edges[i][3];
  }
  tie(B, current_MST) = kruskal(N, edges, weights);
  if ((ll)B.first * B.second < (ll)A.first * A.second)
  {
    best_V = B;
    best_MST = current_MST;
  }

  stack<pair<pii, pii>> to_search;
  to_search.push({A, B});

  while (!to_search.empty())
  {
    tie(A, B) = to_search.top();
    to_search.pop();

    for (ll i = 0; i < M; i++)
    {
      weights[edges[i][4]] = edges[i][3] * (B.first - A.first) -
                             edges[i][2] * (B.second - A.second);
    }
    pii C;
    tie(C, current_MST) = kruskal(N, edges, weights);

    if (area(A, B, C) >= 0)
      continue;

    if ((ll)C.first * C.second < (ll)best_V.first * best_V.second)
    {
      best_V = C;
      best_MST = current_MST;
    }

    to_search.push({A, C});
    to_search.push({C, B});
  }

  cout << best_V.first << " " << best_V.second << "\n";
  sort(begin(edges), end(edges), [](const Edge &e1, const Edge &e2)
       { return e1[4] < e2[4]; });
  for (ll &id : best_MST)
  {
    cout << edges[id][0] << " " << edges[id][1] << "\n";
  }
}

Subtask #1
100.0 / 100.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 6 ms 852 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 4 ms 320 KB Output is correct
15 Correct 3 ms 340 KB Output is correct
16 Correct 47 ms 328 KB Output is correct
17 Correct 51 ms 436 KB Output is correct
18 Correct 49 ms 432 KB Output is correct
19 Correct 442 ms 852 KB Output is correct
20 Correct 484 ms 852 KB Output is correct