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Submission #468288

# Submission time Handle Problem Language Result Execution time Memory
468288 2021-08-27T14:17:09 Z ivan_tudor Parachute rings (IOI12_rings) C++14
100 / 100
 1871 ms 191644 KB 
#include<bits/stdc++.h>
using namespace std;
const int NMAX =  1000005;
vector<int> gr[NMAX];
struct chainsdsu{
  int dad;
  int l, r;
  int sz;
  bool iscycle;
};
int other(int x, int a1, int a2){ /// cel care nu e egal cu x, daca ambele sunt egale x
  if(x == a1)
    return a2;
  return a1;
}
struct chainDS{ /// pentru variantele care accepta doar lanturi => cand answer devine mic (leg lant de lant de necapete, leg un ciclu in interior, leg lant de ciclu)
  ///variante cand nu merge deloc : mai mult de un ciclu

  vector<chainsdsu> d;
  int N;
  bool ans;
  chainDS(int sz) : d(sz + 1), N(sz){
    for(int i = 1; i<= N; i++){
      d[i] = {i, i, i, 1, false};
    }
    ans = true;
  }
  int findd(int x){
    if(d[x].dad == x)
      return x;
    return d[x].dad = findd(d[x].dad);
  }
  bool AddEdge(int x, int y){
    int dx = findd(x);
    int dy = findd(y);
    if(dx == dy){
      ans = false;
      return ans;
    }
    if(!((x == d[dx].l || x == d[dx].r) && (y == d[dy].l || y == d[dy].r))){
      ans = false;
      return ans;
    }
    if(d[dx].sz < d[dy].sz){
      swap(dx, dy);
      swap(x, y);
    }
    d[dy].dad = dx;
    d[dx].l = other(x, d[dx].l, d[dx].r);
    d[dx].r = other(y, d[dy].l, d[dy].r);
    d[dx].sz += d[dy].sz;
    return ans;
  }
};
vector<pair<int, chainDS>> pos; /// nodurile ramase posibile
vector<pair<int, int>> edges;
chainsdsu d[NMAX];
int findd(int x){
  if(x == d[x].dad)
    return x;
  return d[x].dad = findd(d[x].dad);
}
int N;
int nrcycle = 0;
int cans = 0;
void Init(int N_) {
  N = N_;
  for(int i = 1; i<= N; i++){
    d[i] = {i, i, i, 1, false};
    gr[i].clear();
  }
  pos.clear();
  edges.clear();
  nrcycle = 0;
  cans = N;
}
void makepos(int A, int B){
  unordered_set<int> vec;
  for(auto x: gr[A])
    vec.insert(x);
  for(auto x: gr[B])
    vec.insert(x);
  for(auto x: vec){
    pos.push_back({x, chainDS(N)});
    for(auto e:edges){
      if(e.first != x && e.second != x){
        pos.back().second.AddEdge(e.first, e.second);
      }
    }
  }
}

void Link(int A, int B) {
  A++;
  B++;
  if(pos.size()){
    for(auto &x:pos){
      if(x.first != A && x.first != B)
        x.second.AddEdge(A, B);

    }
    return;
  }
  gr[A].push_back(B);
  gr[B].push_back(A);
  edges.push_back({A, B});
  chainsdsu &dA = d[findd(A)];
  chainsdsu &dB = d[findd(B)];

  if(dA.dad != dB.dad){
    /// cazul in care leg doua lanturi (bine sau gresit) sau un ciclu cu un lant

    if(dA.iscycle == false && dB.iscycle == false && (A == dA.l || A == dA.r) && (B == dB.l || B == dB.r)){
      /// cazul ok
      if(dA.sz > dB.sz){
        dB.dad = dA.dad;
        dA.sz += dB.sz;
        dA.l = other(A, dA.l, dA.r);
        dA.r = other(B, dB.l, dB.r);
      }
      else{
        dA.dad = dB.dad;
        dB.sz += dA.sz;
        dB.r = other(B, dB.l, dB.r);
        dB.l = other(A, dA.l, dA.r);

      }
      return;
    }
    /// stric ceva deci trebuie sa repar
    makepos(A, B);

  }
  else{
    /// cazul in care creez un ciclu
    if(dA.iscycle == false && ((A == dA.l && B == dA.r) || (A == dA.r && B == dA.l))){
      /// ciclu simplu
      dA.iscycle = true;
      nrcycle++;
      cans = dA.sz;
      return;
    }
    /// stric ceva deci trb sa fortez poz optime
    makepos(A, B);
  }
}

int CountCritical() {
  if(pos.size()){
    int ans = 0;
    for(auto &x:pos){
      if(x.second.ans == true)
        ans++;
    }
    return ans;
  }
  if(nrcycle > 1)
    return 0;
  return cans;

}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 23756 KB Output is correct
2 Correct 16 ms 24300 KB Output is correct
3 Correct 17 ms 24328 KB Output is correct
4 Correct 15 ms 23792 KB Output is correct
5 Correct 16 ms 24012 KB Output is correct
6 Correct 17 ms 24140 KB Output is correct
7 Correct 17 ms 24204 KB Output is correct
8 Correct 16 ms 24044 KB Output is correct
9 Correct 16 ms 24396 KB Output is correct
10 Correct 17 ms 24396 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 430 ms 54240 KB Output is correct
2 Correct 1049 ms 118104 KB Output is correct
3 Correct 943 ms 135040 KB Output is correct
4 Correct 1130 ms 95756 KB Output is correct
5 Correct 1099 ms 95992 KB Output is correct
6 Correct 1076 ms 94164 KB Output is correct
7 Correct 933 ms 134616 KB Output is correct
8 Correct 1677 ms 177564 KB Output is correct
9 Correct 1871 ms 191644 KB Output is correct
10 Correct 712 ms 92960 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 23756 KB Output is correct
2 Correct 16 ms 24300 KB Output is correct
3 Correct 17 ms 24328 KB Output is correct
4 Correct 15 ms 23792 KB Output is correct
5 Correct 16 ms 24012 KB Output is correct
6 Correct 17 ms 24140 KB Output is correct
7 Correct 17 ms 24204 KB Output is correct
8 Correct 16 ms 24044 KB Output is correct
9 Correct 16 ms 24396 KB Output is correct
10 Correct 17 ms 24396 KB Output is correct
11 Correct 17 ms 24524 KB Output is correct
12 Correct 19 ms 25324 KB Output is correct
13 Correct 19 ms 25292 KB Output is correct
14 Correct 18 ms 24780 KB Output is correct
15 Correct 18 ms 25876 KB Output is correct
16 Correct 18 ms 24524 KB Output is correct
17 Correct 18 ms 24868 KB Output is correct
18 Correct 20 ms 25932 KB Output is correct
19 Correct 19 ms 24584 KB Output is correct
20 Correct 19 ms 25156 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 23756 KB Output is correct
2 Correct 16 ms 24300 KB Output is correct
3 Correct 17 ms 24328 KB Output is correct
4 Correct 15 ms 23792 KB Output is correct
5 Correct 16 ms 24012 KB Output is correct
6 Correct 17 ms 24140 KB Output is correct
7 Correct 17 ms 24204 KB Output is correct
8 Correct 16 ms 24044 KB Output is correct
9 Correct 16 ms 24396 KB Output is correct
10 Correct 17 ms 24396 KB Output is correct
11 Correct 17 ms 24524 KB Output is correct
12 Correct 19 ms 25324 KB Output is correct
13 Correct 19 ms 25292 KB Output is correct
14 Correct 18 ms 24780 KB Output is correct
15 Correct 18 ms 25876 KB Output is correct
16 Correct 18 ms 24524 KB Output is correct
17 Correct 18 ms 24868 KB Output is correct
18 Correct 20 ms 25932 KB Output is correct
19 Correct 19 ms 24584 KB Output is correct
20 Correct 19 ms 25156 KB Output is correct
21 Correct 32 ms 26408 KB Output is correct
22 Correct 47 ms 27836 KB Output is correct
23 Correct 56 ms 28968 KB Output is correct
24 Correct 61 ms 33712 KB Output is correct
25 Correct 33 ms 33828 KB Output is correct
26 Correct 71 ms 34116 KB Output is correct
27 Correct 61 ms 29852 KB Output is correct
28 Correct 78 ms 33604 KB Output is correct
29 Correct 53 ms 34448 KB Output is correct
30 Correct 96 ms 30800 KB Output is correct

Subtask #5
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 23756 KB Output is correct
2 Correct 16 ms 24300 KB Output is correct
3 Correct 17 ms 24328 KB Output is correct
4 Correct 15 ms 23792 KB Output is correct
5 Correct 16 ms 24012 KB Output is correct
6 Correct 17 ms 24140 KB Output is correct
7 Correct 17 ms 24204 KB Output is correct
8 Correct 16 ms 24044 KB Output is correct
9 Correct 16 ms 24396 KB Output is correct
10 Correct 17 ms 24396 KB Output is correct
11 Correct 430 ms 54240 KB Output is correct
12 Correct 1049 ms 118104 KB Output is correct
13 Correct 943 ms 135040 KB Output is correct
14 Correct 1130 ms 95756 KB Output is correct
15 Correct 1099 ms 95992 KB Output is correct
16 Correct 1076 ms 94164 KB Output is correct
17 Correct 933 ms 134616 KB Output is correct
18 Correct 1677 ms 177564 KB Output is correct
19 Correct 1871 ms 191644 KB Output is correct
20 Correct 712 ms 92960 KB Output is correct
21 Correct 17 ms 24524 KB Output is correct
22 Correct 19 ms 25324 KB Output is correct
23 Correct 19 ms 25292 KB Output is correct
24 Correct 18 ms 24780 KB Output is correct
25 Correct 18 ms 25876 KB Output is correct
26 Correct 18 ms 24524 KB Output is correct
27 Correct 18 ms 24868 KB Output is correct
28 Correct 20 ms 25932 KB Output is correct
29 Correct 19 ms 24584 KB Output is correct
30 Correct 19 ms 25156 KB Output is correct
31 Correct 32 ms 26408 KB Output is correct
32 Correct 47 ms 27836 KB Output is correct
33 Correct 56 ms 28968 KB Output is correct
34 Correct 61 ms 33712 KB Output is correct
35 Correct 33 ms 33828 KB Output is correct
36 Correct 71 ms 34116 KB Output is correct
37 Correct 61 ms 29852 KB Output is correct
38 Correct 78 ms 33604 KB Output is correct
39 Correct 53 ms 34448 KB Output is correct
40 Correct 96 ms 30800 KB Output is correct
41 Correct 234 ms 47208 KB Output is correct
42 Correct 708 ms 144168 KB Output is correct
43 Correct 320 ms 119492 KB Output is correct
44 Correct 788 ms 126788 KB Output is correct
45 Correct 700 ms 132136 KB Output is correct
46 Correct 689 ms 84328 KB Output is correct
47 Correct 935 ms 85376 KB Output is correct
48 Correct 526 ms 130192 KB Output is correct
49 Correct 689 ms 84896 KB Output is correct
50 Correct 743 ms 84124 KB Output is correct
51 Correct 341 ms 106148 KB Output is correct
52 Correct 689 ms 106752 KB Output is correct
53 Correct 512 ms 129096 KB Output is correct
54 Correct 1314 ms 151672 KB Output is correct
55 Correct 1018 ms 122492 KB Output is correct