oj.uz

Submission #500367

# Submission time Handle Problem Language Result Execution time Memory
500367 2021-12-30T19:37:22 Z 600Mihnea Collapse (JOI18_collapse) C++17
5 / 100
 15000 ms 7604 KB 
#include "collapse.h"
#include <bits/stdc++.h>

using namespace std;

vector<int> brute(int n, vector<int> t, vector<int> x, vector<int> y, vector<int> w, vector<int> p) {
  int m = (int)t.size();
  int q = (int)w.size();

  for (int i = 0; i < m; i++) {
    if (x[i] > y[i]) {
      swap(x[i], y[i]);
      assert(0 <= x[i] && x[i] < y[i] && y[i] < n);
    }
  }

  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 iq = 0; iq < (int) w.size(); iq++) {
    set<pair<int, int>> s;
    for (int i = 0; i <= w[iq]; i++) {
      pair<int, int> cur = make_pair(x[i], y[i]);
      if (s.count(cur)) {
        s.erase(cur);
      } else {
        s.insert(cur);
      }
    }
    vector<pair<int, int>> ve;
    for (auto &it : s) {
      if (it.first <= p[iq] && it.second > p[iq]) {
        continue;
      }
      ve.push_back(it);
    }
    vector<int> t(n);
    iota(t.begin(), t.end(), 0);
    int comps = n;
    function<int(int)> getpap = [&] (int a) {
      if (t[a] == a) {
        return a;
      } else {
        return t[a] = getpap(t[a]);
      }
    };
    function<void(int, int)> unite = [&] (int a, int b) {
      a = getpap(a);
      b = getpap(b);
      if (a != b) {
        comps--;
        t[a] = b;
      }
    };
    for (auto &it : ve) {
      unite(it.first, it.second);
    }
    sol[iq] = comps;
  }
  return sol;
}

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;
const int edgeM = 7;

vector<int> smart(int n, vector<int> T, vector<int> X, vector<int> Y, vector<int> w, vector<int> p) {
  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++) {
    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);


    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) {
	auto B=brute(N,T,X,Y,W,P);
	auto S=smart(N,T,X,Y,W,P);


	assert(B==S);
	return S;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 345 ms 1792 KB Output is correct
2 Correct 67 ms 1356 KB Output is correct
3 Correct 31 ms 1328 KB Output is correct
4 Correct 39 ms 1308 KB Output is correct
5 Correct 1281 ms 1752 KB Output is correct
6 Correct 3707 ms 2188 KB Output is correct
7 Correct 118 ms 1456 KB Output is correct
8 Correct 125 ms 1472 KB Output is correct
9 Correct 1148 ms 1892 KB Output is correct
10 Correct 2337 ms 1840 KB Output is correct
11 Correct 3632 ms 2200 KB Output is correct
12 Correct 3748 ms 2164 KB Output is correct

Subtask #2
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 5524 KB Output is correct
2 Execution timed out 15086 ms 6572 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 5524 KB Output is correct
2 Execution timed out 15018 ms 7604 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 345 ms 1792 KB Output is correct
2 Correct 67 ms 1356 KB Output is correct
3 Correct 31 ms 1328 KB Output is correct
4 Correct 39 ms 1308 KB Output is correct
5 Correct 1281 ms 1752 KB Output is correct
6 Correct 3707 ms 2188 KB Output is correct
7 Correct 118 ms 1456 KB Output is correct
8 Correct 125 ms 1472 KB Output is correct
9 Correct 1148 ms 1892 KB Output is correct
10 Correct 2337 ms 1840 KB Output is correct
11 Correct 3632 ms 2200 KB Output is correct
12 Correct 3748 ms 2164 KB Output is correct
13 Correct 51 ms 5524 KB Output is correct
14 Execution timed out 15086 ms 6572 KB Time limit exceeded
15 Halted 0 ms 0 KB -