oj.uz

Submission #868668

# Submission time Handle Problem Language Result Execution time Memory
868668 2023-11-01T10:04:47 Z HuyQuang_re_Zero Parachute rings (IOI12_rings) C++14
52 / 100
 4000 ms 165424 KB 
#include <bits/stdc++.h>
#define ll long long
#define db long double
#define II pair <ll,ll>
#define III pair <ll,II>
#define IV pair <vector <int>,vector <int> >
#define fst first
#define snd second
#define BIT(x,i) ((x>>i)&1)
#define pi acos(-1)
#define to_radian(x) (x*pi/180.0)
#define to_degree(x) (x*180.0/pi)
#define Log(x) (31-__builtin_clz((int)x))
#define LogLL(x) (63-__builtin_clzll((ll)x))
#define N 1000005
using namespace std;
struct International_Olympiad_in_Informatics
{
    struct DSU
    {
        int r[N];
        int root(int u) { return (u==r[u]) ? u : r[u]=root(r[u]); }
        void Init()
        {
            for(int u=1;u<N;u++) r[u]=u;
        }
        bool connect(int u,int v)
        {
            u=root(u); v=root(v);
            if(u==v) return 0;
            r[u]=v;
            return 1;
        }
    } DS[4];

    vector <II> edge;
    vector <int> candidate,a[N];
    set <II> ok1;
    int n,i,u,v,flag,cnt3,cnt4,int4,deg[N],to_3[N],num[N],n_ring,w_ring,node[N],node3[N],r[N],out[N];
    bool have_cycle[N];
    void Init(int _n)
    {
        n=_n;
        for(u=1;u<=n;u++) ok1.insert({ 0,u }),r[u]=u,node[u]=1;
    }
    bool check1(int u)
    {
        if(cnt4==2) return 0;
        if(cnt4==1 && deg[u]<4) return 0;
        return (to_3[u]==cnt3);
    }
    void update(int u,int k)
    {
        to_3[u]+=k;
        if(out[u]==1 || flag==1) return ;
        ok1.erase({ to_3[u]-k,u });
        ok1.insert({ to_3[u],u });
    }
    void Filter(int u,int v)
    {
        vector <int> tg;
        for(int x:candidate)
            if(!((u!=x && v!=x && DS[num[x]].connect(u,v)==0) || check1(x)==0))
                tg.push_back(x);
        candidate=tg;
        return ;
    }

    int root(int u) { return (u==r[u]) ? u : r[u]=root(r[u]); }
    void check_root(int u,int op)
    {
        if(have_cycle[u]==1 && node3[u]==0)
            n_ring+=op,w_ring+=op*node[u];
    }
    void join(int u,int v)
    {
        u=root(u); v=root(v);
        if(u==v)
        {
            check_root(u,-1);
            have_cycle[u]=1;
            check_root(u,1);
            return ;
        }
        check_root(u,-1);
        check_root(v,-1);
        r[u]=v;
        node3[v]+=node3[u];
        node[v]+=node[u];
        have_cycle[v]|=have_cycle[u];
        check_root(v,1);
    }
    void Link(int u,int v)
    {
     //  cerr<<u<<" "<<v<<'\n';
        edge.push_back({ u,v });
        a[u].push_back(v); a[v].push_back(u);
        deg[u]++; deg[v]++;
        cnt3+=(deg[u]==3)+(deg[v]==3);
        cnt4+=(deg[u]==4)+(deg[v]==4);
        update(u,(deg[u]==3)+(deg[v]>=3));
        update(v,(deg[v]==3)+(deg[u]>=3));
        check_root(root(u),-1);
        node3[root(u)]+=(deg[u]==3);
        check_root(root(u),1);
        check_root(root(v),-1);
        node3[root(v)]+=(deg[v]==3);
        check_root(root(v),1);
        join(u,v);
        if(deg[u]==3)
        {
            for(int x:a[u])
                if(x!=v) update(x,1);
        }
        if(deg[v]==3)
        {
            for(int x:a[v])
                if(x!=u) update(x,1);
        }

        if(flag) Filter(u,v);
        else
        {
            if(cnt4==2)
            {
                for(II x:ok1) out[x.snd]=1;
                ok1.clear();
            }
            if(cnt4==1)
            {
                set <II> tg;
                for(II x:ok1)
                    if(check1(x.snd)) tg.insert(x);
                    else out[x.snd]=1;
                ok1=tg;
            }
            while(ok1.size()>0)
            {
                int u=ok1.begin()->snd;
                if(check1(u)) break;
                out[u]=1;
                ok1.erase(ok1.begin());
            }
            if(ok1.size()<=4)
            {
                flag=1;
                for(II x:ok1)
                {
                    int u=x.snd;
                    num[u]=candidate.size();
                    candidate.push_back(u);
                    DS[num[u]].Init();
                }
                for(II x:edge) Filter(x.fst,x.snd);
            }
        }
    }
    int Cal()
    {
        if(n_ring>1) return 0;
        if(n_ring==1)
        {
            if(cnt3>0) return 0;
            return w_ring;
        }
        return (flag==0) ? ok1.size() : candidate.size();
    }
} IOI;


void Init(int _n) { IOI.Init(_n); }
void Link(int u,int v) { IOI.Link(u+1,v+1); }
int CountCritical() { return IOI.Cal(); }
/*
int n,u,v,type,q;
int main()
{
    freopen("rings.inp","r",stdin);
    freopen("rings.out","w",stdout);
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    cin>>n>>q; Init(n);
    while(q--)
    {
        cin>>u;
        if(u>-1) cin>>v,Link(u,v);
        else cout<<CountCritical()<<'\n';
    }
}
*/

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 31064 KB Output is correct
2 Correct 13 ms 48216 KB Output is correct
3 Correct 12 ms 48220 KB Output is correct
4 Correct 7 ms 31324 KB Output is correct
5 Correct 9 ms 31580 KB Output is correct
6 Correct 11 ms 33956 KB Output is correct
7 Correct 11 ms 50084 KB Output is correct
8 Correct 10 ms 33628 KB Output is correct
9 Correct 13 ms 48220 KB Output is correct
10 Correct 13 ms 50524 KB Output is correct

Subtask #2
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1564 ms 102504 KB Output is correct
2 Correct 1690 ms 151304 KB Output is correct
3 Correct 1138 ms 137272 KB Output is correct
4 Execution timed out 4026 ms 165424 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 31064 KB Output is correct
2 Correct 13 ms 48216 KB Output is correct
3 Correct 12 ms 48220 KB Output is correct
4 Correct 7 ms 31324 KB Output is correct
5 Correct 9 ms 31580 KB Output is correct
6 Correct 11 ms 33956 KB Output is correct
7 Correct 11 ms 50084 KB Output is correct
8 Correct 10 ms 33628 KB Output is correct
9 Correct 13 ms 48220 KB Output is correct
10 Correct 13 ms 50524 KB Output is correct
11 Correct 13 ms 48476 KB Output is correct
12 Correct 20 ms 49112 KB Output is correct
13 Correct 18 ms 51036 KB Output is correct
14 Correct 13 ms 50520 KB Output is correct
15 Correct 15 ms 49448 KB Output is correct
16 Correct 16 ms 34648 KB Output is correct
17 Correct 15 ms 50776 KB Output is correct
18 Correct 17 ms 51544 KB Output is correct
19 Correct 17 ms 34648 KB Output is correct
20 Correct 19 ms 51036 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 31064 KB Output is correct
2 Correct 13 ms 48216 KB Output is correct
3 Correct 12 ms 48220 KB Output is correct
4 Correct 7 ms 31324 KB Output is correct
5 Correct 9 ms 31580 KB Output is correct
6 Correct 11 ms 33956 KB Output is correct
7 Correct 11 ms 50084 KB Output is correct
8 Correct 10 ms 33628 KB Output is correct
9 Correct 13 ms 48220 KB Output is correct
10 Correct 13 ms 50524 KB Output is correct
11 Correct 13 ms 48476 KB Output is correct
12 Correct 20 ms 49112 KB Output is correct
13 Correct 18 ms 51036 KB Output is correct
14 Correct 13 ms 50520 KB Output is correct
15 Correct 15 ms 49448 KB Output is correct
16 Correct 16 ms 34648 KB Output is correct
17 Correct 15 ms 50776 KB Output is correct
18 Correct 17 ms 51544 KB Output is correct
19 Correct 17 ms 34648 KB Output is correct
20 Correct 19 ms 51036 KB Output is correct
21 Correct 47 ms 38356 KB Output is correct
22 Correct 78 ms 41336 KB Output is correct
23 Correct 95 ms 43464 KB Output is correct
24 Correct 57 ms 57144 KB Output is correct
25 Correct 39 ms 57304 KB Output is correct
26 Correct 67 ms 57424 KB Output is correct
27 Correct 125 ms 43868 KB Output is correct
28 Correct 64 ms 58488 KB Output is correct
29 Correct 54 ms 57832 KB Output is correct
30 Correct 156 ms 45464 KB Output is correct

Subtask #5
0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 31064 KB Output is correct
2 Correct 13 ms 48216 KB Output is correct
3 Correct 12 ms 48220 KB Output is correct
4 Correct 7 ms 31324 KB Output is correct
5 Correct 9 ms 31580 KB Output is correct
6 Correct 11 ms 33956 KB Output is correct
7 Correct 11 ms 50084 KB Output is correct
8 Correct 10 ms 33628 KB Output is correct
9 Correct 13 ms 48220 KB Output is correct
10 Correct 13 ms 50524 KB Output is correct
11 Correct 1564 ms 102504 KB Output is correct
12 Correct 1690 ms 151304 KB Output is correct
13 Correct 1138 ms 137272 KB Output is correct
14 Execution timed out 4026 ms 165424 KB Time limit exceeded
15 Halted 0 ms 0 KB -