Submission #500375

# Submission time Handle Problem Language Result Execution time Memory
500375 2021-12-30T19:48:18 Z 600Mihnea Collapse (JOI18_collapse) C++17
5 / 100
15000 ms 6908 KB
#include "collapse.h"
#include <bits/stdc++.h>

using namespace std;

const int NN = 100000 + 7;

int dsu[2][NN], un[2];

vector<int> modif[2];

void clr(int id) {
  modif[id].clear();
  assert(0 <= id && id < 2);
  un[id] = 0;
  for (int i = 0; i < NN; i++) {
    dsu[id][i] = i;
  }
}

void restore(int id) {
  un[id] = 0;
  for (auto &i : modif[id]) {
    dsu[id][i] = i;
  }
}

int root(int id, int a) {

  if (a == dsu[id][a]) {
    return a;
  } else {
    return dsu[id][a] = root(id, dsu[id][a]);
  }
}

void unite(int id, int a, int b) {
  modif[id].push_back(a);
  modif[id].push_back(b);
  a = root(id, a);
  b = root(id, b);
  modif[id].push_back(a);
  modif[id].push_back(b);
  if (a != b) {
    un[id]++;
    dsu[id][a] = b;
  }
}

const int edgeM = 333;

vector<int> smart(int n, vector<int> T, vector<int> X, vector<int> Y, vector<int> w, vector<int> p) {
  bool ok = (n > 5000);
  clr(0);
  clr(1);
  struct Edge {
    int type;
    int x;
    int y;
    int id;
  };

  vector<Edge> edges;

  int m = (int)T.size();
  int q = (int)w.size();
  vector<pair<int, int>> theEdge;
  vector<int> active;
  {
    map<pair<int, int>, int> inds;
    int kek = 0;
    for (int i = 0; i < m; i++) {
      if (X[i] > Y[i]) {
        swap(X[i], Y[i]);
      }
      if (!inds.count({X[i], Y[i]})) {
        inds[{X[i], Y[i]}] = kek++;
        theEdge.push_back({X[i], Y[i]});
        active.push_back(0);
      }
      edges.push_back({T[i], X[i], Y[i], inds[{X[i], Y[i]}]});
    }
  }

  function<bool(int, int)> cmp = [&] (int i, int j) {
    return p[i] < p[j];
  };

  function<bool(int, int)> cmpE = [&] (int i, int j) {
    return theEdge[i].second < theEdge[j].second;
  };

  assert((int) T.size() == m);
  assert((int) X.size() == m);
  assert((int) Y.size() == m);

  assert((int) w.size() == q);
  assert((int) p.size() == q);

  vector<int> sol((int) w.size());



  for (int ISTEP = 1; ISTEP <= 2; ISTEP++) {
    if (ok) break;
    for (auto &x : active) {
      x = 0;
    }
    vector<int> edgeBucket(m), edgeFirst(m), edgeLast(m);

    vector<int> O;

    for (int i = 0; i < m; i++) {
      edgeBucket[i] = i / edgeM;
      edgeLast[edgeBucket[i]] = i;
    }
    for (int i = m - 1; i >= 0; i--) {
      edgeFirst[edgeBucket[i]] = i;
    }

    vector<vector<int>> inds(m);
    for (int i = 0; i < q; i++) {
      inds[w[i]].push_back(i);
    }

    vector<int> order((int) active.size());
    iota(order.begin(), order.end(), 0);
    sort(order.begin(), order.end(), cmpE);

    if (ok) continue;

    for (int edgeBucketId = edgeBucket[0]; edgeBucketId <= edgeBucket[m - 1]; edgeBucketId++) {
      clr(0);
      clr(1);
      vector<bool> use_now((int) active.size(), 0);
      vector<int> current = active;
      vector<int> guys;
      for (int step = edgeFirst[edgeBucketId]; step <= edgeLast[edgeBucketId]; step++) {
        use_now[edges[step].id] = 1;
        for (auto &iq : inds[step]) {
          guys.push_back(iq);
        }
      }
      vector<pair<int, int>> additional;
      vector<int> here;
      for (auto &i : order) {
        if (use_now[i]) {
          here.push_back(i);
        }
        if (active[i] && !use_now[i]) {
          additional.push_back(theEdge[i]);
        }
      }
      int ptr = 0;
      sort(guys.begin(), guys.end(), cmp);
      for (auto &iq : guys) {
        restore(1);
        for (int step = edgeFirst[edgeBucketId]; step <= w[iq]; step++) {
          current[edges[step].id] ^= 1;
        }
        vector<pair<int, int>> specific;
        for (auto &i : here) {
          if (current[i]) {
            specific.push_back(theEdge[i]);
          }
        }
        for (int step = edgeFirst[edgeBucketId]; step <= w[iq]; step++) {
          current[edges[step].id] = active[edges[step].id];
        }
        while (ptr < (int) additional.size() && additional[ptr].second <= p[iq]) {
          unite(0, additional[ptr].first, additional[ptr].second);
          ptr++;
        }
        for (auto &it : specific) {
          if (it.second <= p[iq]) {
            unite(1, root(0, it.first), root(0, it.second));
          }
        }
        sol[iq] += p[iq] + 1 - (un[0] + un[1]);
      }
      for (int step = edgeFirst[edgeBucketId]; step <= edgeLast[edgeBucketId]; step++) {
        active[edges[step].id] ^= 1;
      }
    }
    for (int i = 0; i < m; i++) {
      swap(edges[i].x, edges[i].y);
      edges[i].x = n - 1 - edges[i].x;
      edges[i].y = n - 1 - edges[i].y;
    }
    for (int i = 0; i < q; i++) {
      p[i] = n - 2 - p[i];
    }
    for (auto &it : theEdge) {
      swap(it.first, it.second);
      it.first = n - 1 - it.first;
      it.second = n - 1 - it.second;
    }
  }
  return sol;
}

vector<int> simulateCollapse(int N, vector<int> T, vector<int> X, vector<int> Y, vector<int> W, vector<int> P) {
	return smart(N,T,X,Y,W,P);
}
# Verdict Execution time Memory Grader output
1 Correct 17 ms 1740 KB Output is correct
2 Correct 65 ms 1348 KB Output is correct
3 Correct 284 ms 1592 KB Output is correct
4 Correct 890 ms 2472 KB Output is correct
5 Correct 60 ms 1868 KB Output is correct
6 Correct 520 ms 2488 KB Output is correct
7 Correct 102 ms 1348 KB Output is correct
8 Correct 244 ms 1720 KB Output is correct
9 Correct 78 ms 1996 KB Output is correct
10 Correct 424 ms 2404 KB Output is correct
11 Correct 533 ms 2652 KB Output is correct
12 Correct 524 ms 2524 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 44 ms 5100 KB Output is correct
2 Execution timed out 15067 ms 6252 KB Time limit exceeded
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 41 ms 5048 KB Output is correct
2 Execution timed out 15080 ms 6908 KB Time limit exceeded
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 17 ms 1740 KB Output is correct
2 Correct 65 ms 1348 KB Output is correct
3 Correct 284 ms 1592 KB Output is correct
4 Correct 890 ms 2472 KB Output is correct
5 Correct 60 ms 1868 KB Output is correct
6 Correct 520 ms 2488 KB Output is correct
7 Correct 102 ms 1348 KB Output is correct
8 Correct 244 ms 1720 KB Output is correct
9 Correct 78 ms 1996 KB Output is correct
10 Correct 424 ms 2404 KB Output is correct
11 Correct 533 ms 2652 KB Output is correct
12 Correct 524 ms 2524 KB Output is correct
13 Correct 44 ms 5100 KB Output is correct
14 Execution timed out 15067 ms 6252 KB Time limit exceeded
15 Halted 0 ms 0 KB -