oj.uz

Submission #680446

# Submission time Handle Problem Language Result Execution time Memory
680446 2023-01-10T21:14:57 Z cadmiumsky Parachute rings (IOI12_rings) C++14
100 / 100
 1653 ms 141092 KB 
#include <bits/stdc++.h>
#define all(x) (x).begin(),(x).end()
using namespace std;

using ll = long long;
//#define int ll
#define sz(x) (int)(x).size() 

using pii = pair<int,int>;
using tii = tuple<int,int,int>;

const int nmax = 1e6 + 5;

int n;

struct DSU {
  int forb;
  int dsu[nmax], area[nmax];
  int grad[nmax];
  
  bool fail = 0;
  int f(int x) { return (dsu[x] == x? x : dsu[x] = f(dsu[x])); }
  void unite(int x, int y) {
    if(x == forb || y == forb) return;
    // cerr << x << ' ' << y << ' ' << forb << '\t';
    grad[x]++;
    grad[y]++;
    if(grad[x] > 2 || grad[y] > 2)
      fail = 1;
    x = f(x);
    y = f(y);
    // cerr << x << ' ' << y << '\n';
    if(x == y) { fail = 1; return; }
    dsu[x] = y;
    area[y] += area[x];
  }
  void init(int n, vector<pii> edg, int interz = -1) {
    forb = interz;
    for(int i = 0; i < n; i++)
      dsu[i] = i, area[i] = 1, grad[i] = 0;
    for(auto [a, b] : edg)
      unite(a, b);
  }
  bool query() { return !fail; }
};

namespace Finite {
  int freq[nmax];
  vector<DSU> dlist;
  int mgrad = 0;
  int precrez = n;
  vector<pii> edg;
  
  vector<int> g[nmax];
  
  void init3(int a) {
    dlist.clear();
    for(auto x : g[a])
      dlist.resize(sz(dlist) + 1),
      dlist.back().init(n, edg, x);    
    dlist.resize(sz(dlist) + 1),
    dlist.back().init(n, edg, a);
    return;
  }
  void init4(int a) {
    dlist.clear();
    dlist.resize(sz(dlist) + 1),
    dlist.back().init(n, edg, a);
    return;
  }
  
  void upd(int a, int b) {
    g[a].emplace_back(b);
    g[b].emplace_back(a);
    edg.emplace_back(a, b);
    
    int fmgrad = mgrad;
    freq[a]++;
    freq[b]++;
    mgrad = max({mgrad, freq[a], freq[b]});
    if(fmgrad != mgrad) {
      if(mgrad == 3)
        init3(freq[a] == 3? a : b);
      if(mgrad == 4)
        init4(freq[a] == 4? a : b);
      if(mgrad > 2) return;
    }
    if(mgrad == 2) {
      // cerr << a << ' ' << b << '\n';
      // cerr << dlist[0].f(a) << ' ' << dlist[0].f(b) << '\n';
      if(dlist[0].f(a) == dlist[0].f(b)) {
        if(precrez == n) {
          // cerr << "lamborghini\n";
          precrez = dlist[0].area[dlist[0].f(a)];
        }
        else
          precrez = 0;
      }
    }
    for(auto &x : dlist)
      x.unite(a, b);
    return;
  }
  int get() {
    if(mgrad >= 3) {
      int sum = 0;
      for(auto &x : dlist)
        sum += x.query();
      return sum;
    }
    else
      return precrez;
  }
  void init() {
    precrez = n;
    dlist.resize(1);
    dlist.back().init(n, edg);
  }
  
}

void Init(int N) {
  n = N;
  Finite::init();
}
void Link(int A, int B) {
  Finite::upd(A, B);
  //cerr << " > " << Finite::get() << '\n';
}
int CountCritical() {
  //cerr << Finite::state << '\t';
  return Finite::get();
}

Compilation message

rings.cpp: In member function 'void DSU::init(int, std::vector<std::pair<int, int> >, int)':
rings.cpp:41:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   41 |     for(auto [a, b] : edg)
      |              ^

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 35540 KB Output is correct
2 Correct 46 ms 82716 KB Output is correct
3 Correct 49 ms 82672 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 21 ms 35628 KB Output is correct
6 Correct 24 ms 35808 KB Output is correct
7 Correct 43 ms 82560 KB Output is correct
8 Correct 19 ms 35760 KB Output is correct
9 Correct 52 ms 82704 KB Output is correct
10 Correct 44 ms 82724 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 392 ms 64760 KB Output is correct
2 Correct 1067 ms 115812 KB Output is correct
3 Correct 1250 ms 121916 KB Output is correct
4 Correct 1103 ms 91900 KB Output is correct
5 Correct 1128 ms 91900 KB Output is correct
6 Correct 1061 ms 90340 KB Output is correct
7 Correct 1104 ms 120568 KB Output is correct
8 Correct 1536 ms 131376 KB Output is correct
9 Correct 1653 ms 141092 KB Output is correct
10 Correct 753 ms 89660 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 35540 KB Output is correct
2 Correct 46 ms 82716 KB Output is correct
3 Correct 49 ms 82672 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 21 ms 35628 KB Output is correct
6 Correct 24 ms 35808 KB Output is correct
7 Correct 43 ms 82560 KB Output is correct
8 Correct 19 ms 35760 KB Output is correct
9 Correct 52 ms 82704 KB Output is correct
10 Correct 44 ms 82724 KB Output is correct
11 Correct 49 ms 82736 KB Output is correct
12 Correct 67 ms 83136 KB Output is correct
13 Correct 51 ms 82912 KB Output is correct
14 Correct 49 ms 82684 KB Output is correct
15 Correct 46 ms 82564 KB Output is correct
16 Correct 20 ms 36052 KB Output is correct
17 Correct 65 ms 82736 KB Output is correct
18 Correct 58 ms 82824 KB Output is correct
19 Correct 21 ms 36180 KB Output is correct
20 Correct 49 ms 82992 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 35540 KB Output is correct
2 Correct 46 ms 82716 KB Output is correct
3 Correct 49 ms 82672 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 21 ms 35628 KB Output is correct
6 Correct 24 ms 35808 KB Output is correct
7 Correct 43 ms 82560 KB Output is correct
8 Correct 19 ms 35760 KB Output is correct
9 Correct 52 ms 82704 KB Output is correct
10 Correct 44 ms 82724 KB Output is correct
11 Correct 49 ms 82736 KB Output is correct
12 Correct 67 ms 83136 KB Output is correct
13 Correct 51 ms 82912 KB Output is correct
14 Correct 49 ms 82684 KB Output is correct
15 Correct 46 ms 82564 KB Output is correct
16 Correct 20 ms 36052 KB Output is correct
17 Correct 65 ms 82736 KB Output is correct
18 Correct 58 ms 82824 KB Output is correct
19 Correct 21 ms 36180 KB Output is correct
20 Correct 49 ms 82992 KB Output is correct
21 Correct 35 ms 37268 KB Output is correct
22 Correct 42 ms 38344 KB Output is correct
23 Correct 47 ms 39108 KB Output is correct
24 Correct 82 ms 82748 KB Output is correct
25 Correct 70 ms 82820 KB Output is correct
26 Correct 85 ms 83212 KB Output is correct
27 Correct 54 ms 40260 KB Output is correct
28 Correct 126 ms 83300 KB Output is correct
29 Correct 91 ms 83268 KB Output is correct
30 Correct 82 ms 40960 KB Output is correct

Subtask #5
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 35540 KB Output is correct
2 Correct 46 ms 82716 KB Output is correct
3 Correct 49 ms 82672 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 21 ms 35628 KB Output is correct
6 Correct 24 ms 35808 KB Output is correct
7 Correct 43 ms 82560 KB Output is correct
8 Correct 19 ms 35760 KB Output is correct
9 Correct 52 ms 82704 KB Output is correct
10 Correct 44 ms 82724 KB Output is correct
11 Correct 392 ms 64760 KB Output is correct
12 Correct 1067 ms 115812 KB Output is correct
13 Correct 1250 ms 121916 KB Output is correct
14 Correct 1103 ms 91900 KB Output is correct
15 Correct 1128 ms 91900 KB Output is correct
16 Correct 1061 ms 90340 KB Output is correct
17 Correct 1104 ms 120568 KB Output is correct
18 Correct 1536 ms 131376 KB Output is correct
19 Correct 1653 ms 141092 KB Output is correct
20 Correct 753 ms 89660 KB Output is correct
21 Correct 49 ms 82736 KB Output is correct
22 Correct 67 ms 83136 KB Output is correct
23 Correct 51 ms 82912 KB Output is correct
24 Correct 49 ms 82684 KB Output is correct
25 Correct 46 ms 82564 KB Output is correct
26 Correct 20 ms 36052 KB Output is correct
27 Correct 65 ms 82736 KB Output is correct
28 Correct 58 ms 82824 KB Output is correct
29 Correct 21 ms 36180 KB Output is correct
30 Correct 49 ms 82992 KB Output is correct
31 Correct 35 ms 37268 KB Output is correct
32 Correct 42 ms 38344 KB Output is correct
33 Correct 47 ms 39108 KB Output is correct
34 Correct 82 ms 82748 KB Output is correct
35 Correct 70 ms 82820 KB Output is correct
36 Correct 85 ms 83212 KB Output is correct
37 Correct 54 ms 40260 KB Output is correct
38 Correct 126 ms 83300 KB Output is correct
39 Correct 91 ms 83268 KB Output is correct
40 Correct 82 ms 40960 KB Output is correct
41 Correct 212 ms 51172 KB Output is correct
42 Correct 633 ms 108748 KB Output is correct
43 Correct 275 ms 83148 KB Output is correct
44 Correct 844 ms 121484 KB Output is correct
45 Correct 949 ms 111892 KB Output is correct
46 Correct 695 ms 83264 KB Output is correct
47 Correct 934 ms 84104 KB Output is correct
48 Correct 568 ms 100072 KB Output is correct
49 Correct 680 ms 80844 KB Output is correct
50 Correct 706 ms 80516 KB Output is correct
51 Correct 296 ms 85420 KB Output is correct
52 Correct 1016 ms 112540 KB Output is correct
53 Correct 591 ms 100708 KB Output is correct
54 Correct 1424 ms 117404 KB Output is correct
55 Correct 1098 ms 120996 KB Output is correct