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Submission #658085

# Submission time Handle Problem Language Result Execution time Memory
658085 2022-11-12T07:09:48 Z jiahng Parachute rings (IOI12_rings) C++14
0 / 100
 4000 ms 226508 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int,int> pi;
typedef vector <int> vi;
typedef vector <pi> vpi;
typedef pair<pi, ll> pii;
typedef set <ll> si;
typedef long double ld;
#define f first
#define s second
#define mp make_pair
#define FOR(i,s,e) for(int i=s;i<=int(e);++i)
#define DEC(i,s,e) for(int i=s;i>=int(e);--i)
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define lbd(x, y) lower_bound(all(x), y)
#define ubd(x, y) upper_bound(all(x), y)
#define aFOR(i,x) for (auto i: x)
#define mem(x,i) memset(x,i,sizeof x)
#define fast ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0)
#define maxn 1000010
#define INF (ll)1e9
#define MOD 1000000007
typedef pair <vi, int> pvi;
typedef pair <int,pi> ipi;
typedef vector <pii> vpii;
int N;
unordered_set <int> st[maxn];
int d[maxn];
int maxD;
unordered_set <int> adj[maxn];

vpi all_edges;
int p[6][maxn];
int edges[6][maxn], sz[6][maxn];
unordered_set <int> cycles[6];
vi pos;
int fl(int i, int x){
    if (p[i][x] == x) return x;
    return p[i][x] = fl(i, p[i][x]);
}

void add(int i, int A, int B){
    edges[i][fl(i,B)]++;
    if (fl(i, A) != fl(i,B)){
        int pA = fl(i,A), pB = fl(i,B);
        sz[i][pB] += sz[i][pA];
        edges[i][pB] += edges[i][pA];
        if (cycles[i].find(pA) != cycles[i].end()) cycles[i].erase(pA);
        p[i][pA] = pB;
    }
    if (edges[i][fl(i,B)] >= sz[i][fl(i,B)]) cycles[i].insert(fl(i,B));
}
int bigx;
multiset <int> degrees;
void Init(int N_) {
    N = N_;
    maxD = 0;
    FOR(i,0,5) FOR(j,0,N-1) p[i][j] = j,sz[i][j] = 1, edges[i][j] = 0;
    FOR(i,0,N-1){
        adj[i].clear(); st[i].clear();
    }
    FOR(i,0,5) cycles[i].clear();
    degrees.clear();
    FOR(i,0,N-1) d[i] = 0;
    FOR(i,0,N-1) st[0].insert(i);
    FOR(i,0,N-1) degrees.insert(0);
    bigx = -1;
}
void Link(int A, int B) {
    assert(st[d[A]].count(A) && st[d[B]].count(B) && degrees.count(d[A]) && degrees.count(d[B]));
    st[d[A]].erase(A); st[d[B]].erase(B);
    degrees.erase(degrees.find(d[A])); degrees.erase(degrees.find(d[B]));
    d[A]++; d[B]++;
    st[d[A]].insert(A); st[d[B]].insert(B);
    degrees.insert(d[A]); degrees.insert(d[B]);

    //assert(!adj[A].count(B) && !adj[B].count(A));
    adj[A].insert(B); adj[B].insert(A);

    if (pos.empty() && (d[A] == 3 || d[B] == 3)){
        if (d[A] == 3){
            aFOR(i, adj[A]) pos.pb(i);
            pos.pb(A);
        }else if (d[B] == 3){
            pos.pb(B); aFOR(i, adj[B]) pos.pb(i);
        }
        FOR(i,0,pos.size()-1){
            aFOR(j, all_edges) if (j.f != pos[i] && j.s != pos[i]) add(i,j.f,j.s);
        }
    }
    

    if (bigx == -1 && (d[A] >= 4 || d[B] >= 4)){
        if (d[A] >= 4) bigx = A;
        else if (d[B] >= 4) bigx = B;
        aFOR(i, all_edges) if (i.f != bigx && i.s != bigx) add(4,i.f,i.s);
    }
    
    all_edges.pb(pi(A,B));
    maxD = max({maxD, d[A], d[B]});

    add(5,A,B);
    FOR(i,0,(int)pos.size()-1) if (A != pos[i] && B != pos[i]) add(i,A,B);
    if (bigx != -1 && A != bigx && B != bigx) add(4, A, B);
}

int CountCritical() {
    if (N == 1) return 1;
    if (maxD >= 4){
        if (*(----degrees.end()) >= 4) return 0;
        if (st[maxD].size() == 1){
            int x = *st[maxD].begin();
            bool no = 0;
            if (!cycles[4].empty()) no = 1;
            aFOR(i, st[3]) if (!adj[x].count(i)) no = 1;
            if (no) return 0;
            return 1;
        }else return 0;
    }else if (maxD <= 1) return N;
    else if (maxD == 3){
        if (st[3].size() > 4) return 0;
       
        int ans = 0;
        /*
        FOR(i,0,N-1){
            cout << "ADJ " << i << ": ";
            aFOR(j, adj[i]) cout << j << ' ';
            cout << '\n';
        }
        cout << "POS: ";
        aFOR(i, pos) cout << i << ' ';
        cout << '\n';
        */
        aFOR(i, pos){
            bool no = 0;
            aFOR(j, st[3]) if (pos[i] != j && !adj[pos[i]].count(j)){
                //cout << "NO " << pos[i] << ' ' << j << '\n';
                no = 1; break;
            }
            if (no) continue;
            if (cycles[i].empty()){
                //cout << "! " << i << '\n';
                ans++;
            }
        }
        return ans;
    }else{
        if (cycles[5].size() == 0) return N;
        else if (cycles[5].size() == 1) return sz[5][fl(5,*cycles[5].begin())];
        else return 0;
    }
}

Subtask #1
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 110028 KB Output is correct
2 Correct 142 ms 111452 KB Output is correct
3 Correct 160 ms 111824 KB Output is correct
4 Correct 66 ms 110284 KB Output is correct
5 Correct 95 ms 111008 KB Output is correct
6 Correct 171 ms 111732 KB Output is correct
7 Correct 97 ms 110968 KB Output is correct
8 Correct 112 ms 111420 KB Output is correct
9 Runtime error 261 ms 226508 KB Execution killed with signal 11
10 Halted 0 ms 0 KB -

Subtask #2
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4078 ms 195188 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #3
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 110028 KB Output is correct
2 Correct 142 ms 111452 KB Output is correct
3 Correct 160 ms 111824 KB Output is correct
4 Correct 66 ms 110284 KB Output is correct
5 Correct 95 ms 111008 KB Output is correct
6 Correct 171 ms 111732 KB Output is correct
7 Correct 97 ms 110968 KB Output is correct
8 Correct 112 ms 111420 KB Output is correct
9 Runtime error 261 ms 226508 KB Execution killed with signal 11
10 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 110028 KB Output is correct
2 Correct 142 ms 111452 KB Output is correct
3 Correct 160 ms 111824 KB Output is correct
4 Correct 66 ms 110284 KB Output is correct
5 Correct 95 ms 111008 KB Output is correct
6 Correct 171 ms 111732 KB Output is correct
7 Correct 97 ms 110968 KB Output is correct
8 Correct 112 ms 111420 KB Output is correct
9 Runtime error 261 ms 226508 KB Execution killed with signal 11
10 Halted 0 ms 0 KB -

Subtask #5
0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 110028 KB Output is correct
2 Correct 142 ms 111452 KB Output is correct
3 Correct 160 ms 111824 KB Output is correct
4 Correct 66 ms 110284 KB Output is correct
5 Correct 95 ms 111008 KB Output is correct
6 Correct 171 ms 111732 KB Output is correct
7 Correct 97 ms 110968 KB Output is correct
8 Correct 112 ms 111420 KB Output is correct
9 Runtime error 261 ms 226508 KB Execution killed with signal 11
10 Halted 0 ms 0 KB -