oj.uz

Submission #547406

# Submission time Handle Problem Language Result Execution time Memory
547406 2022-04-10T15:56:08 Z cadmiumsky Collapse (JOI18_collapse) C++14
100 / 100
 6647 ms 172404 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, 0), 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 5 ms 724 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 4 ms 468 KB Output is correct
4 Correct 4 ms 468 KB Output is correct
5 Correct 10 ms 744 KB Output is correct
6 Correct 20 ms 1836 KB Output is correct
7 Correct 3 ms 596 KB Output is correct
8 Correct 4 ms 596 KB Output is correct
9 Correct 12 ms 1692 KB Output is correct
10 Correct 21 ms 1828 KB Output is correct
11 Correct 34 ms 2912 KB Output is correct
12 Correct 28 ms 2780 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 4172 KB Output is correct
2 Correct 35 ms 4172 KB Output is correct
3 Correct 177 ms 8280 KB Output is correct
4 Correct 53 ms 4220 KB Output is correct
5 Correct 261 ms 9392 KB Output is correct
6 Correct 113 ms 5480 KB Output is correct
7 Correct 3518 ms 139168 KB Output is correct
8 Correct 305 ms 17896 KB Output is correct
9 Correct 37 ms 4932 KB Output is correct
10 Correct 43 ms 4940 KB Output is correct
11 Correct 164 ms 5644 KB Output is correct
12 Correct 445 ms 29420 KB Output is correct
13 Correct 1901 ms 83184 KB Output is correct
14 Correct 5146 ms 156472 KB Output is correct
15 Correct 3877 ms 159632 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 4172 KB Output is correct
2 Correct 49 ms 4164 KB Output is correct
3 Correct 53 ms 4172 KB Output is correct
4 Correct 60 ms 4204 KB Output is correct
5 Correct 142 ms 4476 KB Output is correct
6 Correct 134 ms 5520 KB Output is correct
7 Correct 2185 ms 85284 KB Output is correct
8 Correct 4886 ms 137948 KB Output is correct
9 Correct 57 ms 4940 KB Output is correct
10 Correct 221 ms 5464 KB Output is correct
11 Correct 5078 ms 165008 KB Output is correct
12 Correct 6647 ms 172364 KB Output is correct
13 Correct 5463 ms 168820 KB Output is correct
14 Correct 6591 ms 157340 KB Output is correct
15 Correct 5131 ms 171168 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 724 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 4 ms 468 KB Output is correct
4 Correct 4 ms 468 KB Output is correct
5 Correct 10 ms 744 KB Output is correct
6 Correct 20 ms 1836 KB Output is correct
7 Correct 3 ms 596 KB Output is correct
8 Correct 4 ms 596 KB Output is correct
9 Correct 12 ms 1692 KB Output is correct
10 Correct 21 ms 1828 KB Output is correct
11 Correct 34 ms 2912 KB Output is correct
12 Correct 28 ms 2780 KB Output is correct
13 Correct 34 ms 4172 KB Output is correct
14 Correct 35 ms 4172 KB Output is correct
15 Correct 177 ms 8280 KB Output is correct
16 Correct 53 ms 4220 KB Output is correct
17 Correct 261 ms 9392 KB Output is correct
18 Correct 113 ms 5480 KB Output is correct
19 Correct 3518 ms 139168 KB Output is correct
20 Correct 305 ms 17896 KB Output is correct
21 Correct 37 ms 4932 KB Output is correct
22 Correct 43 ms 4940 KB Output is correct
23 Correct 164 ms 5644 KB Output is correct
24 Correct 445 ms 29420 KB Output is correct
25 Correct 1901 ms 83184 KB Output is correct
26 Correct 5146 ms 156472 KB Output is correct
27 Correct 3877 ms 159632 KB Output is correct
28 Correct 42 ms 4172 KB Output is correct
29 Correct 49 ms 4164 KB Output is correct
30 Correct 53 ms 4172 KB Output is correct
31 Correct 60 ms 4204 KB Output is correct
32 Correct 142 ms 4476 KB Output is correct
33 Correct 134 ms 5520 KB Output is correct
34 Correct 2185 ms 85284 KB Output is correct
35 Correct 4886 ms 137948 KB Output is correct
36 Correct 57 ms 4940 KB Output is correct
37 Correct 221 ms 5464 KB Output is correct
38 Correct 5078 ms 165008 KB Output is correct
39 Correct 6647 ms 172364 KB Output is correct
40 Correct 5463 ms 168820 KB Output is correct
41 Correct 6591 ms 157340 KB Output is correct
42 Correct 5131 ms 171168 KB Output is correct
43 Correct 281 ms 15080 KB Output is correct
44 Correct 3774 ms 137392 KB Output is correct
45 Correct 348 ms 17932 KB Output is correct
46 Correct 4856 ms 138620 KB Output is correct
47 Correct 60 ms 4936 KB Output is correct
48 Correct 62 ms 4940 KB Output is correct
49 Correct 213 ms 5664 KB Output is correct
50 Correct 331 ms 11400 KB Output is correct
51 Correct 512 ms 25868 KB Output is correct
52 Correct 1651 ms 59504 KB Output is correct
53 Correct 1342 ms 57632 KB Output is correct
54 Correct 2795 ms 90884 KB Output is correct
55 Correct 2250 ms 85276 KB Output is correct
56 Correct 3259 ms 106060 KB Output is correct
57 Correct 4282 ms 141264 KB Output is correct
58 Correct 5294 ms 132784 KB Output is correct
59 Correct 5088 ms 169084 KB Output is correct
60 Correct 6596 ms 172404 KB Output is correct