oj.uz

Submission #547405

# Submission time Handle Problem Language Result Execution time Memory
547405 2022-04-10T15:52:53 Z cadmiumsky Collapse (JOI18_collapse) C++14
100 / 100
 6984 ms 162136 KB 
#include "collapse.h"
#include <bits/stdc++.h>
#warning W e PREFIXUL
using namespace std;
 
int B;
const int nmax = 1e5 + 5, qmax = 1e5 + 5, cmax = 1e5 + 5;
using pii = pair<int,int>;
int n, q, c;
int rollbacks = 0, forceinsert = 0, always = 0;
 
// decomp dupa POZITIE
namespace Driver {
  namespace DSU {
    int area[nmax], dsu[nmax];
    vector<pair<int,int> > bk;
    int cc;
    void init(int n) {
      for(int i = 0; i < n; i++)
        dsu[i] = i, area[i] = 1;
      bk.clear();
      cc = n;
      return;
    }
    int father(int x) {
      return (dsu[x] == x? x : father(dsu[x]));
    }
    int comprfather(int x) {
      return (dsu[x] == x? x : dsu[x] = father(dsu[x]));
    }
    int gettime() {return bk.size();}
    void unite(int a, int b, bool compr) {
      if(!compr)
        a = father(a),
        b = father(b);
      else
        a = comprfather(a),
        b = comprfather(b);
      if(a == b) 
        return;
      if(area[a] < area[b])
        swap(a, b);
      dsu[b] = a;
      area[a] += area[b];
      dsu[b] = a;
      if(!compr)
        bk.push_back({b, a});
      cc--;
    }
    int rollback() {
      if(bk.size() == 0)
        return -1;
      int a, b;
      tie(b, a) = bk.back();
      dsu[b] = b;
      area[a] -= area[b];
      cc++;
      bk.pop_back();
      //rollbacks++;
      return bk.size();
    }
    int query() { return cc; }
  }

  
  unordered_map<int, unordered_map<int,int> > atredge;
  unordered_map<int, unordered_map<int,int> > open;
  vector< pair<int,int> > edge;
  vector< vector< pair<int,int> > > span;
  vector< pair<int, int> > qs;
  vector<int> rez;
  struct Bucket {
    vector<int> included;
    vector<tuple<int,int,int> > partial;
    int L, R;
    vector<int> queries;
    Bucket(int l, int r) {tie(L, R) = {l, r};}
    void apply() {
      DSU::init(n);
      sort(queries.begin(), queries.end(), [&](auto x, auto y) {return qs[x].second < qs[y].second;});
      sort(included.begin(), included.end(), [&](auto x, auto y) {return edge[x].second < edge[y].second;});
      int ptr = 0;
      for(auto idx : queries) {
        int poz, time;
        tie(poz, time) = qs[idx];
        while(ptr < included.size() && edge[included[ptr]].second <= time)
          DSU::unite(edge[included[ptr]].first, edge[included[ptr]].second, 1), ptr++;
        int temporary = DSU::gettime();
        for(auto X : partial) {
          int edg, l, r;
          tie(edg, l, r) = X;
          if(l <= poz && poz <= r && edge[edg].second <= time)
            DSU::unite(edge[edg].first, edge[edg].second, 0);
          //always++;
        }
        rez[idx] += DSU::query() - (n - qs[idx].second - 1);
        if(DSU::gettime() > temporary)
          while(DSU::rollback() > temporary);
      }
      //forceinsert += included.size();
    }
  };
  vector<Bucket> decomp;
  namespace Init {
    void prepare() {
      int l = 0, r = min(c - 1, B - 1);
      while(l < c) {
        decomp.push_back(Bucket(l, r));
        l += B;
        r = min(c - 1, r + B);
      }
      decomp.push_back(Bucket(2 * c + 1, 2 *  c + 2));
      for(int i = 0; i < edge.size(); i++) {
        int ptr = 0;
        for(auto X : span[i]) {
          tie(l, r) = X;
          while(decomp[ptr].R < l)
            ptr++;
          if(ptr == decomp.size())
            break;
          decomp[ptr].partial.push_back({i, l, r});
          if(r <= decomp[ptr].R)
            continue;
          ptr++;
          while(l <= decomp[ptr].L && decomp[ptr].R <= r)
            decomp[ptr++].included.push_back(i);
          if(!(decomp[ptr].R < l || decomp[ptr].L > r))
            decomp[ptr].partial.push_back({i, l, r});
        }
      }
      for(int i = 0; i < q; i++)
        decomp[qs[i].first / B].queries.push_back(i);
      return;
    }
    void read(vector<int> t, vector<int>& lf, vector<int>& rh, vector<int> w, vector<int> p) {
      rez.resize(q, 0);
      for(int i = 0, ptr; i < c; i++) {
        int x, y;
        tie(x, y) = {lf[i], rh[i]};
        if(x > y)
          swap(lf[i], rh[i]), swap(x, y);
        if(atredge.find(x) == atredge.end()  || atredge[x].find(y) == atredge[x].end())
          atredge[x][y] = edge.size(), span.push_back(vector<pii>()), edge.push_back({x, y});
        ptr = atredge[x][y];
        open[x][y];
        if(open[x][y] == 0)
          span[ptr].push_back({i, -1});
        open[x][y] += -2 * t[i] + 1;
        if(open[x][y] == 0)
          span[ptr].back().second = i - 1;
      }
      int x, y, val;
      for(auto X : open) {
        x = X.first;
        for(auto Y : X.second) {
          tie(y, val) = Y;
          if(val > 0)
            span[atredge[x][y]].back().second = c - 1;
        }
      }
      for(int i = 0; i < q; i++)
        qs.push_back({w[i], p[i]});
      return;
    }
  }
  namespace Decomp {
    void start() {
      for(auto& x : decomp)
        x.apply();
    }
  }
  void erase() {
    DSU::init(n);
    decomp.clear();
    span.clear();
    qs.clear();
    edge.clear();
    atredge.clear();
    open.clear();
  }
}
 
std::vector<int> simulateCollapse(
	int N,
	std::vector<int> T,
	std::vector<int> X,
	std::vector<int> Y,
	std::vector<int> W,
	std::vector<int> P
) {
  n = N;
  c = T.size();
  q = W.size();
  B = 220;
  Driver::DSU::init(n);
  Driver::Init::read(T, X, Y, W, P);
  Driver::Init::prepare();
  Driver::Decomp::start();
  Driver::erase();
  for(int i = 0; i < c; i++) {
    X[i] = N - X[i] - 1; 
    Y[i] = N - Y[i] - 1; 
  }
  for(int i = 0; i < q; i++)
    P[i] = N - P[i] - 2;
  Driver::Init::read(T, X, Y, W, P);
  Driver::Init::prepare();
  Driver::Decomp::start();
  return Driver::rez;
}

Compilation message

collapse.cpp:3:2: warning: #warning W e PREFIXUL [-Wcpp]
    3 | #warning W e PREFIXUL
      |  ^~~~~~~
collapse.cpp: In member function 'void Driver::Bucket::apply()':
collapse.cpp:86:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |         while(ptr < included.size() && edge[included[ptr]].second <= time)
      |               ~~~~^~~~~~~~~~~~~~~~~
collapse.cpp: In function 'void Driver::Init::prepare()':
collapse.cpp:113:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  113 |       for(int i = 0; i < edge.size(); i++) {
      |                      ~~^~~~~~~~~~~~~
collapse.cpp:119:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Driver::Bucket>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  119 |           if(ptr == decomp.size())
      |              ~~~~^~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 724 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 5 ms 584 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 10 ms 812 KB Output is correct
6 Correct 20 ms 1796 KB Output is correct
7 Correct 3 ms 596 KB Output is correct
8 Correct 4 ms 596 KB Output is correct
9 Correct 11 ms 1876 KB Output is correct
10 Correct 19 ms 1920 KB Output is correct
11 Correct 37 ms 2944 KB Output is correct
12 Correct 29 ms 2820 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 4132 KB Output is correct
2 Correct 39 ms 4552 KB Output is correct
3 Correct 166 ms 9636 KB Output is correct
4 Correct 53 ms 4724 KB Output is correct
5 Correct 298 ms 11068 KB Output is correct
6 Correct 123 ms 6332 KB Output is correct
7 Correct 3804 ms 141132 KB Output is correct
8 Correct 314 ms 20168 KB Output is correct
9 Correct 40 ms 5688 KB Output is correct
10 Correct 54 ms 5720 KB Output is correct
11 Correct 176 ms 6664 KB Output is correct
12 Correct 464 ms 31832 KB Output is correct
13 Correct 1971 ms 82052 KB Output is correct
14 Correct 5320 ms 157464 KB Output is correct
15 Correct 4168 ms 162136 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 4168 KB Output is correct
2 Correct 47 ms 4532 KB Output is correct
3 Correct 53 ms 4664 KB Output is correct
4 Correct 58 ms 4636 KB Output is correct
5 Correct 146 ms 5132 KB Output is correct
6 Correct 145 ms 6332 KB Output is correct
7 Correct 2491 ms 82256 KB Output is correct
8 Correct 5435 ms 138912 KB Output is correct
9 Correct 68 ms 5708 KB Output is correct
10 Correct 224 ms 6508 KB Output is correct
11 Correct 5289 ms 155244 KB Output is correct
12 Correct 6984 ms 157832 KB Output is correct
13 Correct 5608 ms 155292 KB Output is correct
14 Correct 6884 ms 158484 KB Output is correct
15 Correct 5390 ms 157940 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 724 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 5 ms 584 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 10 ms 812 KB Output is correct
6 Correct 20 ms 1796 KB Output is correct
7 Correct 3 ms 596 KB Output is correct
8 Correct 4 ms 596 KB Output is correct
9 Correct 11 ms 1876 KB Output is correct
10 Correct 19 ms 1920 KB Output is correct
11 Correct 37 ms 2944 KB Output is correct
12 Correct 29 ms 2820 KB Output is correct
13 Correct 34 ms 4132 KB Output is correct
14 Correct 39 ms 4552 KB Output is correct
15 Correct 166 ms 9636 KB Output is correct
16 Correct 53 ms 4724 KB Output is correct
17 Correct 298 ms 11068 KB Output is correct
18 Correct 123 ms 6332 KB Output is correct
19 Correct 3804 ms 141132 KB Output is correct
20 Correct 314 ms 20168 KB Output is correct
21 Correct 40 ms 5688 KB Output is correct
22 Correct 54 ms 5720 KB Output is correct
23 Correct 176 ms 6664 KB Output is correct
24 Correct 464 ms 31832 KB Output is correct
25 Correct 1971 ms 82052 KB Output is correct
26 Correct 5320 ms 157464 KB Output is correct
27 Correct 4168 ms 162136 KB Output is correct
28 Correct 31 ms 4168 KB Output is correct
29 Correct 47 ms 4532 KB Output is correct
30 Correct 53 ms 4664 KB Output is correct
31 Correct 58 ms 4636 KB Output is correct
32 Correct 146 ms 5132 KB Output is correct
33 Correct 145 ms 6332 KB Output is correct
34 Correct 2491 ms 82256 KB Output is correct
35 Correct 5435 ms 138912 KB Output is correct
36 Correct 68 ms 5708 KB Output is correct
37 Correct 224 ms 6508 KB Output is correct
38 Correct 5289 ms 155244 KB Output is correct
39 Correct 6984 ms 157832 KB Output is correct
40 Correct 5608 ms 155292 KB Output is correct
41 Correct 6884 ms 158484 KB Output is correct
42 Correct 5390 ms 157940 KB Output is correct
43 Correct 310 ms 16880 KB Output is correct
44 Correct 4389 ms 139308 KB Output is correct
45 Correct 369 ms 20036 KB Output is correct
46 Correct 5400 ms 139824 KB Output is correct
47 Correct 57 ms 5708 KB Output is correct
48 Correct 59 ms 5784 KB Output is correct
49 Correct 219 ms 6760 KB Output is correct
50 Correct 352 ms 12604 KB Output is correct
51 Correct 537 ms 28428 KB Output is correct
52 Correct 1661 ms 59444 KB Output is correct
53 Correct 1417 ms 57796 KB Output is correct
54 Correct 2877 ms 87772 KB Output is correct
55 Correct 2415 ms 81892 KB Output is correct
56 Correct 3352 ms 102792 KB Output is correct
57 Correct 4418 ms 132248 KB Output is correct
58 Correct 5390 ms 135092 KB Output is correct
59 Correct 5081 ms 159120 KB Output is correct
60 Correct 6454 ms 158980 KB Output is correct