oj.uz

Submission #521080

# Submission time Handle Problem Language Result Execution time Memory
521080 2022-01-31T17:20:17 Z blue Inside information (BOI21_servers) C++17
50 / 100
 404 ms 31780 KB 
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

using vi = vector<int>;
#define sz(x) int(x.size())

const int mx = 120'000;




struct edge
{
    int v;
    int t;
};

vector<edge> S[1+mx];





struct query
{
    int a;
    int t;
};

vector<query> Q[1+mx]; //stored by d





vector<int> C[1+mx]; //stored by d



int N, K;

vi res(2*mx + 5);












vi banned(1+mx, 0);

vi st_count(1+mx, 0);

vi lst;




void dfs(int u, int p)
{
    lst.push_back(u);

    st_count[u] = 1;
    for(auto e: S[u])
    {
        int v = e.v;
        if(v == p) continue;

        if(banned[v]) continue;

        dfs(v, u);
        st_count[u] += st_count[v];
    }
}


vi out_good(1+mx); //going out from centroid
vi in_good(1+mx); //coming in to centroid
vi root_time(1+mx);
vi par_time(1+mx);


vi st_index(1+mx);

vi exists(1+mx, 0);



void dfs2(int u, int p)
{
    for(auto e: S[u])
    {
        int v = e.v;
        int t = e.t;

        if(v == p) continue;

        if(banned[v]) continue;

        root_time[v] = root_time[u];
        par_time[v] = t;

        out_good[v] = out_good[u] && (par_time[v] > par_time[u]);
        in_good[v] = in_good[u] && (par_time[v] < par_time[u]);

        st_index[v] = st_index[u];

        dfs2(v, u);
    }
}



void solve(int src)
{
    lst.clear();

    dfs(src, src);

    int cent = -1;


    for(int u: lst)
    {
        exists[u] = 1;

        if(2 * st_count[u] < st_count[src]) continue;

        if(cent == -1) cent = u;
        else if(st_count[u] < st_count[cent]) cent = u;
    }


    // cerr << "\n\n\n\n";
    // for(int l: lst) cerr << l << ' ';
    // cerr << ": centroid = " << cent << '\n';

    // for(int l: lst) cerr << l << " : " << out_good[l] << ' ' << in_good[l] << ' ' << root_time[l] << ' ' << par_time[l] << '\n';


    int stid = 0;
    st_index[cent] = 0;

    for(auto e: S[cent])
    {
        int v = e.v;
        int t = e.t;

        if(banned[v]) continue;

        st_index[v] = ++stid;
        in_good[v] = out_good[v] = 1;
        root_time[v] = par_time[v] = t;

        dfs2(v, cent);
    }



    for(int d: lst)
    {
        for(query qr: Q[d])
        {
            int a = qr.a;
            int t = qr.t;

            if(!exists[a]) continue;

            if(d == cent)
            {
                if(a == cent)
                    res[t] = 1;
                else 
                    res[t] |= (out_good[a] && par_time[a] < t);
            }
            else
            {
                if(a == cent)
                    res[t] |= (in_good[d] && root_time[d] < t);
                else
                    res[t] |= (in_good[d] && out_good[a] && root_time[d] < root_time[a] && par_time[a] < t);
            }
        }
    }




    for(int u: lst) exists[u] = 0;

    banned[cent] = 1;

    for(auto e: S[cent])
    {
        if(banned[e.v]) continue;
        solve(e.v);
    }


    banned[cent] = 0;

    
}




int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    cin >> N >> K;

    char c[N+K];

    for(int q = 1; q <= N+K-1; q++)
    {
        cin >> c[q];
        if(c[q] == 'S')
        {
            int a, b;
            cin >> a >> b;
            S[a].push_back({b, q});
            S[b].push_back({a, q});
        }
        else if(c[q] == 'Q')
        {
            int a, d;
            cin >> a >> d;
            Q[d].push_back({a, q});
        }
        else
        {
            int d;
            cin >> d;

            C[d].push_back(q);
        }
    }




    solve(1);




    for(int q = 1; q <= N+K-1; q++)
    {
        if(c[q] == 'S') continue;
        else if(c[q] == 'Q')
        {
            if(res[q] == 1) cout << "yes\n";
            else cout << "no\n";
        }
        else cout << res[q] << '\n';
    }
}

Subtask #1
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 26 ms 15564 KB Output is correct
2 Correct 44 ms 17096 KB Output is correct
3 Correct 34 ms 16964 KB Output is correct
4 Correct 44 ms 17236 KB Output is correct
5 Correct 38 ms 17464 KB Output is correct
6 Correct 36 ms 17124 KB Output is correct

Subtask #2
0 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 26 ms 15564 KB Output is correct
2 Correct 44 ms 17096 KB Output is correct
3 Correct 34 ms 16964 KB Output is correct
4 Correct 44 ms 17236 KB Output is correct
5 Correct 38 ms 17464 KB Output is correct
6 Correct 36 ms 17124 KB Output is correct
7 Incorrect 26 ms 16340 KB Extra information in the output file
8 Halted 0 ms 0 KB -

Subtask #3
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 25 ms 15600 KB Output is correct
2 Correct 126 ms 24888 KB Output is correct
3 Correct 148 ms 24912 KB Output is correct

Subtask #4
0 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 25 ms 15600 KB Output is correct
2 Correct 126 ms 24888 KB Output is correct
3 Correct 148 ms 24912 KB Output is correct
4 Incorrect 26 ms 16380 KB Extra information in the output file
5 Halted 0 ms 0 KB -

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 15532 KB Output is correct
2 Correct 304 ms 31696 KB Output is correct
3 Correct 348 ms 31728 KB Output is correct
4 Correct 187 ms 31480 KB Output is correct

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 15532 KB Output is correct
2 Correct 304 ms 31696 KB Output is correct
3 Correct 348 ms 31728 KB Output is correct
4 Correct 187 ms 31480 KB Output is correct
5 Incorrect 26 ms 16384 KB Extra information in the output file
6 Halted 0 ms 0 KB -

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 15524 KB Output is correct
2 Correct 237 ms 25208 KB Output is correct
3 Correct 265 ms 25116 KB Output is correct

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 15524 KB Output is correct
2 Correct 237 ms 25208 KB Output is correct
3 Correct 265 ms 25116 KB Output is correct
4 Incorrect 27 ms 16384 KB Extra information in the output file
5 Halted 0 ms 0 KB -

Subtask #9
12.5 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 32 ms 15516 KB Output is correct
2 Correct 327 ms 31768 KB Output is correct
3 Correct 338 ms 31780 KB Output is correct
4 Correct 184 ms 31480 KB Output is correct
5 Correct 28 ms 16400 KB Output is correct
6 Correct 194 ms 25140 KB Output is correct
7 Correct 282 ms 25172 KB Output is correct
8 Correct 254 ms 25908 KB Output is correct
9 Correct 302 ms 25896 KB Output is correct
10 Correct 404 ms 28856 KB Output is correct
11 Correct 345 ms 27728 KB Output is correct

Subtask #10
0 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 32 ms 15516 KB Output is correct
2 Correct 327 ms 31768 KB Output is correct
3 Correct 338 ms 31780 KB Output is correct
4 Correct 184 ms 31480 KB Output is correct
5 Correct 28 ms 16400 KB Output is correct
6 Correct 194 ms 25140 KB Output is correct
7 Correct 282 ms 25172 KB Output is correct
8 Correct 254 ms 25908 KB Output is correct
9 Correct 302 ms 25896 KB Output is correct
10 Correct 404 ms 28856 KB Output is correct
11 Correct 345 ms 27728 KB Output is correct
12 Incorrect 33 ms 16324 KB Extra information in the output file
13 Halted 0 ms 0 KB -

Subtask #11
17.5 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 26 ms 15456 KB Output is correct
2 Correct 44 ms 17172 KB Output is correct
3 Correct 35 ms 16964 KB Output is correct
4 Correct 40 ms 17236 KB Output is correct
5 Correct 41 ms 17412 KB Output is correct
6 Correct 38 ms 17136 KB Output is correct
7 Correct 28 ms 16372 KB Output is correct
8 Correct 124 ms 24840 KB Output is correct
9 Correct 115 ms 24828 KB Output is correct
10 Correct 27 ms 16376 KB Output is correct
11 Correct 326 ms 31716 KB Output is correct
12 Correct 301 ms 31708 KB Output is correct
13 Correct 185 ms 31436 KB Output is correct
14 Correct 30 ms 16340 KB Output is correct
15 Correct 188 ms 25164 KB Output is correct
16 Correct 274 ms 25196 KB Output is correct
17 Correct 267 ms 25932 KB Output is correct
18 Correct 332 ms 25768 KB Output is correct
19 Correct 358 ms 28828 KB Output is correct
20 Correct 327 ms 27732 KB Output is correct
21 Correct 142 ms 24964 KB Output is correct
22 Correct 155 ms 25004 KB Output is correct
23 Correct 237 ms 25280 KB Output is correct
24 Correct 239 ms 25444 KB Output is correct
25 Correct 367 ms 28344 KB Output is correct
26 Correct 277 ms 24388 KB Output is correct
27 Correct 212 ms 24232 KB Output is correct

Subtask #12
0 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 26 ms 15456 KB Output is correct
2 Correct 44 ms 17172 KB Output is correct
3 Correct 35 ms 16964 KB Output is correct
4 Correct 40 ms 17236 KB Output is correct
5 Correct 41 ms 17412 KB Output is correct
6 Correct 38 ms 17136 KB Output is correct
7 Correct 28 ms 16372 KB Output is correct
8 Correct 124 ms 24840 KB Output is correct
9 Correct 115 ms 24828 KB Output is correct
10 Correct 27 ms 16376 KB Output is correct
11 Correct 326 ms 31716 KB Output is correct
12 Correct 301 ms 31708 KB Output is correct
13 Correct 185 ms 31436 KB Output is correct
14 Correct 30 ms 16340 KB Output is correct
15 Correct 188 ms 25164 KB Output is correct
16 Correct 274 ms 25196 KB Output is correct
17 Correct 267 ms 25932 KB Output is correct
18 Correct 332 ms 25768 KB Output is correct
19 Correct 358 ms 28828 KB Output is correct
20 Correct 327 ms 27732 KB Output is correct
21 Correct 142 ms 24964 KB Output is correct
22 Correct 155 ms 25004 KB Output is correct
23 Correct 237 ms 25280 KB Output is correct
24 Correct 239 ms 25444 KB Output is correct
25 Correct 367 ms 28344 KB Output is correct
26 Correct 277 ms 24388 KB Output is correct
27 Correct 212 ms 24232 KB Output is correct
28 Incorrect 28 ms 16332 KB Extra information in the output file
29 Halted 0 ms 0 KB -