oj.uz

Submission #712493

# Submission time Handle Problem Language Result Execution time Memory
712493 2023-03-18T21:17:10 Z danikoynov Keys (IOI21_keys) C++17
100 / 100
 1345 ms 253252 KB 
#include <bits/stdc++.h>
#include "keys.h"

using namespace std;


const int maxn = 3e5 + 10;


struct union_find
{
    vector < int > data, rnk;

    union_find(int n)
    {
        data.resize(n);
        rnk.resize(n);
        for (int i = 0; i < n; i ++)
        {
            data[i] = i;
            rnk[i] = 1;
        }
    }
    int find_leader(int v)
    {
        return (v == data[v]) ? v : (data[v] = find_leader(data[v]));
    }

    int unite(int v, int u)
    {
        v = find_leader(v);
        u = find_leader(u);
        if (v != u)
        {
            if (rnk[v] < rnk[u])
                swap(v, u);
            rnk[v] += rnk[u];
            data[u] = v;
        }
        return v;
    }
};

struct component
{
    vector < int > open;
    map < int, vector < int > > locked;
    set < int > keys;

    void add_edge(int v, int key)
    {
        if (keys.find(key) != keys.end())
            open.push_back(v);
        else
            locked[key].push_back(v);
    }

    void add_key(int key)
    {
        while(!locked[key].empty())
        {
            open.push_back(locked[key].back());
            locked[key].pop_back();
        }
        keys.insert(key);
    }
};

int n, m;
int status[maxn], toward[maxn], reach[maxn];
vector<int> find_reachable(vector<int> r, vector<int> u, vector<int> v, vector<int> c)
{
    n = r.size();
    m = u.size();
    for (int i = 0; i < n; i ++)
        reach[i] = n + 1;
    union_find dsu(n);
    vector < component > data(n);
    for (int i = 0; i < n; i ++)
    data[i].add_key(r[i]);
    for (int i = 0; i < m; i ++)
    {
        data[u[i]].add_edge(v[i], c[i]);
        data[v[i]].add_edge(u[i], c[i]);
    }

    for (int cur = 0; cur < n; cur ++)
    {
        if (status[cur] == 1)
            continue;

        vector < int > ver_list;
        int u = cur;
        while(status[u] != 1)
        {
            if (status[u] == 0)
            {
                status[u] = -1;
                ver_list.push_back(u);
            }

            if (data[u].open.empty())
            {
                vector < int > same;
                for (int v : ver_list)
                    if (dsu.find_leader(v) == u)
                    same.push_back(v);
                for (int v : same)
                    reach[v] = same.size();
                break;
            }

            toward[u] = dsu.find_leader(data[u].open.back());
            data[u].open.pop_back();

            if (status[toward[u]] == -1)
            {
                int v = u;
                while(true)
                {
                    v = dsu.find_leader(toward[v]);
                    if (v == u)
                        break;

                    int r = dsu.unite(u, v);
                    int to_move = u;
                    if (r == u)
                        to_move = v;
                    u = r;
                    for (int x : data[to_move].open)
                        data[u].open.push_back(x);

                    for (int x : data[to_move].keys)
                        data[u].add_key(x);

                    for (pair < int, vector < int > > it : data[to_move].locked)
                    {
                        for (int x : it.second)
                            data[u].add_edge(x, it.first);
                    }
                }
            }
            else
            {
                u = toward[u];
            }
        }
        for (int v : ver_list)
            status[v] = 1;
    }

    int min_reach = n + 1;
    for (int i = 0; i < n; i ++)
        min_reach = min(min_reach, reach[i]);
    vector < int > ans(n, 0);
    for (int i = 0; i < n; i ++)
    {
            ans[i] = (reach[i] == min_reach);
    }
    return ans;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 1236 KB Output is correct
28 Correct 2 ms 1200 KB Output is correct
29 Correct 2 ms 1236 KB Output is correct
30 Correct 2 ms 724 KB Output is correct
31 Correct 1 ms 596 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 2 ms 724 KB Output is correct
34 Correct 2 ms 724 KB Output is correct
35 Correct 1 ms 596 KB Output is correct
36 Correct 3 ms 1236 KB Output is correct
37 Correct 4 ms 1236 KB Output is correct
38 Correct 4 ms 1396 KB Output is correct
39 Correct 3 ms 1364 KB Output is correct
40 Correct 2 ms 852 KB Output is correct
41 Correct 2 ms 1108 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 657 ms 82636 KB Output is correct
11 Correct 474 ms 102776 KB Output is correct
12 Correct 111 ms 28480 KB Output is correct
13 Correct 641 ms 135848 KB Output is correct
14 Correct 211 ms 103172 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 1236 KB Output is correct
28 Correct 2 ms 1200 KB Output is correct
29 Correct 2 ms 1236 KB Output is correct
30 Correct 2 ms 724 KB Output is correct
31 Correct 1 ms 596 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 2 ms 724 KB Output is correct
34 Correct 2 ms 724 KB Output is correct
35 Correct 1 ms 596 KB Output is correct
36 Correct 3 ms 1236 KB Output is correct
37 Correct 4 ms 1236 KB Output is correct
38 Correct 4 ms 1396 KB Output is correct
39 Correct 3 ms 1364 KB Output is correct
40 Correct 2 ms 852 KB Output is correct
41 Correct 2 ms 1108 KB Output is correct
42 Correct 657 ms 82636 KB Output is correct
43 Correct 474 ms 102776 KB Output is correct
44 Correct 111 ms 28480 KB Output is correct
45 Correct 641 ms 135848 KB Output is correct
46 Correct 211 ms 103172 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 254 ms 107620 KB Output is correct
51 Correct 229 ms 110164 KB Output is correct
52 Correct 466 ms 100868 KB Output is correct
53 Correct 454 ms 100844 KB Output is correct
54 Correct 441 ms 100872 KB Output is correct
55 Correct 902 ms 105444 KB Output is correct
56 Correct 594 ms 135160 KB Output is correct
57 Correct 484 ms 130304 KB Output is correct
58 Correct 781 ms 139652 KB Output is correct
59 Correct 1303 ms 145084 KB Output is correct
60 Correct 633 ms 111404 KB Output is correct
61 Correct 1068 ms 139516 KB Output is correct
62 Correct 1155 ms 253252 KB Output is correct
63 Correct 324 ms 130636 KB Output is correct
64 Correct 4 ms 2132 KB Output is correct
65 Correct 4 ms 2132 KB Output is correct
66 Correct 1160 ms 253144 KB Output is correct
67 Correct 22 ms 11092 KB Output is correct
68 Correct 37 ms 18296 KB Output is correct
69 Correct 1345 ms 144948 KB Output is correct
70 Correct 80 ms 36192 KB Output is correct
71 Correct 236 ms 109332 KB Output is correct
72 Correct 1260 ms 144876 KB Output is correct
73 Correct 1212 ms 253244 KB Output is correct