oj.uz

Submission #411462

# Submission time Handle Problem Language Result Execution time Memory
411462 2021-05-25T11:20:41 Z KoD Parachute rings (IOI12_rings) C++17
100 / 100
 1696 ms 193568 KB 
#include <bits/stdc++.h>

template <class T>
using Vec = std::vector<T>;

struct UnionFind {
    Vec<int> par;
    UnionFind() = default;
    UnionFind(const int size): par(size, -1) { }
    int find(const int u) {
        return par[u] < 0 ? u : par[u] = find(par[u]);
    }
    int size(const int u) {
        return -par[find(u)];
    }
    bool merge(int u, int v) {
        u = find(u);
        v = find(v);
        if (u == v) return false;
        if (par[u] > par[v]) {
            std::swap(u, v);
        }
        par[u] += par[v];
        par[v] = u;
        return true;
    }
};

struct StateManager {
    UnionFind dsu;
    Vec<int> deg;
    int bad;
    bool ok;
    StateManager() = default;
    StateManager(const int size, const int bad): dsu(size), deg(size), bad(bad), ok(true) { }
    void add_edge(const int u, const int v) {
        if (u == bad or v == bad or !ok) return;
        deg[u] += 1;
        deg[v] += 1;
        if (!dsu.merge(u, v) or deg[u] >= 3 or deg[v] >= 3) {
            ok = false;
        }
    }
};

int N;
Vec<Vec<int>> adj;
Vec<std::pair<int, int>> history;
UnionFind dsu;
Vec<bool> processed;
Vec<StateManager> whatif;
Vec<Vec<int>> deglist;

/*
0: no deg >= 3, no cycles
1: no deg >= 3, one cycle
2: some deg == 3
3: one deg >= 4
-1: bad, always CountCritical() == 0
*/

int state;
int cycle_leader = -1;

void Init(int N_) {
    N = N_;
    adj.resize(N);
    dsu = UnionFind(N);
    processed = Vec<bool>(N);
    deglist.resize(N + 5);
    for (int i = 0; i < N; ++i) {
        deglist[0].push_back(i);
    }
}

void Link(int A, int B) {
    if (state == -1) return;
    adj[A].push_back(B);
    adj[B].push_back(A);
    deglist[adj[A].size()].push_back(A);
    deglist[adj[B].size()].push_back(B);
    if (deglist[4].size() >= 2) {
        state = -1;
        return;
    }
    if (!deglist[4].empty()) {
        if (state != 3) {
            state = 3;
            const auto u = deglist[4][0];
            whatif.clear();
            whatif.emplace_back(N, u);
            for (const auto [x, y]: history) {
                whatif[0].add_edge(x, y);
            }
        }
        whatif[0].add_edge(A, B);
    }
    else {
        if (deglist[3].size() >= 5) {
            state = -1;
            return;
        }
        if (!deglist[3].empty()) {
            state = 2;
            for (const auto u: deglist[3]) {
                if (!processed[u]) {
                    processed[u] = true;
                    whatif.emplace_back(N, u);
                    for (const auto [x, y]: history) {
                        whatif.back().add_edge(x, y);
                    }
                }
            }
            for (const auto v: deglist[3]) {
                for (const auto u: adj[v]) {
                    if (!processed[u]) {
                        processed[u] = true;
                        whatif.emplace_back(N, u);
                        for (const auto [x, y]: history) {
                            whatif.back().add_edge(x, y);
                        }
                    }
                }
            }
            assert(whatif.size() <= 16);
            for (auto& state: whatif) {
                state.add_edge(A, B);
            }
        }
        else {
            if (!dsu.merge(A, B)) {
                if (cycle_leader != -1) {
                    state = -1;
                    return;
                }
                state = 1;
                cycle_leader = dsu.find(A);
            }
        }
    }
    history.emplace_back(A, B);
}

int CountCritical() {
    if (state == 0) {
        return N;
    }
    if (state == 1) {
        return dsu.size(cycle_leader);
    }
    if (state == 2 or state == 3) {
        int ret = 0;
        for (const auto& state: whatif) {
            if (state.ok) {
                ret += 1;
            }
        }
        return ret;
    }
    return 0;
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 3 ms 844 KB Output is correct
3 Correct 3 ms 976 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 588 KB Output is correct
6 Correct 3 ms 844 KB Output is correct
7 Correct 2 ms 1228 KB Output is correct
8 Correct 3 ms 712 KB Output is correct
9 Correct 4 ms 1100 KB Output is correct
10 Correct 4 ms 1100 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 430 ms 60084 KB Output is correct
2 Correct 967 ms 99932 KB Output is correct
3 Correct 329 ms 150584 KB Output is correct
4 Correct 1084 ms 115480 KB Output is correct
5 Correct 1063 ms 115516 KB Output is correct
6 Correct 1041 ms 113404 KB Output is correct
7 Correct 361 ms 193568 KB Output is correct
8 Correct 1423 ms 152312 KB Output is correct
9 Correct 1696 ms 170284 KB Output is correct
10 Correct 727 ms 112136 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 3 ms 844 KB Output is correct
3 Correct 3 ms 976 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 588 KB Output is correct
6 Correct 3 ms 844 KB Output is correct
7 Correct 2 ms 1228 KB Output is correct
8 Correct 3 ms 712 KB Output is correct
9 Correct 4 ms 1100 KB Output is correct
10 Correct 4 ms 1100 KB Output is correct
11 Correct 5 ms 1100 KB Output is correct
12 Correct 8 ms 2380 KB Output is correct
13 Correct 9 ms 2124 KB Output is correct
14 Correct 4 ms 1336 KB Output is correct
15 Correct 5 ms 2172 KB Output is correct
16 Correct 5 ms 1408 KB Output is correct
17 Correct 4 ms 2252 KB Output is correct
18 Correct 5 ms 4108 KB Output is correct
19 Correct 5 ms 1484 KB Output is correct
20 Correct 9 ms 2124 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 3 ms 844 KB Output is correct
3 Correct 3 ms 976 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 588 KB Output is correct
6 Correct 3 ms 844 KB Output is correct
7 Correct 2 ms 1228 KB Output is correct
8 Correct 3 ms 712 KB Output is correct
9 Correct 4 ms 1100 KB Output is correct
10 Correct 4 ms 1100 KB Output is correct
11 Correct 5 ms 1100 KB Output is correct
12 Correct 8 ms 2380 KB Output is correct
13 Correct 9 ms 2124 KB Output is correct
14 Correct 4 ms 1336 KB Output is correct
15 Correct 5 ms 2172 KB Output is correct
16 Correct 5 ms 1408 KB Output is correct
17 Correct 4 ms 2252 KB Output is correct
18 Correct 5 ms 4108 KB Output is correct
19 Correct 5 ms 1484 KB Output is correct
20 Correct 9 ms 2124 KB Output is correct
21 Correct 20 ms 4808 KB Output is correct
22 Correct 34 ms 7564 KB Output is correct
23 Correct 42 ms 9404 KB Output is correct
24 Correct 54 ms 9644 KB Output is correct
25 Correct 19 ms 9064 KB Output is correct
26 Correct 58 ms 10272 KB Output is correct
27 Correct 47 ms 9916 KB Output is correct
28 Correct 39 ms 17544 KB Output is correct
29 Correct 42 ms 19404 KB Output is correct
30 Correct 87 ms 11588 KB Output is correct

Subtask #5
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 3 ms 844 KB Output is correct
3 Correct 3 ms 976 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 588 KB Output is correct
6 Correct 3 ms 844 KB Output is correct
7 Correct 2 ms 1228 KB Output is correct
8 Correct 3 ms 712 KB Output is correct
9 Correct 4 ms 1100 KB Output is correct
10 Correct 4 ms 1100 KB Output is correct
11 Correct 430 ms 60084 KB Output is correct
12 Correct 967 ms 99932 KB Output is correct
13 Correct 329 ms 150584 KB Output is correct
14 Correct 1084 ms 115480 KB Output is correct
15 Correct 1063 ms 115516 KB Output is correct
16 Correct 1041 ms 113404 KB Output is correct
17 Correct 361 ms 193568 KB Output is correct
18 Correct 1423 ms 152312 KB Output is correct
19 Correct 1696 ms 170284 KB Output is correct
20 Correct 727 ms 112136 KB Output is correct
21 Correct 5 ms 1100 KB Output is correct
22 Correct 8 ms 2380 KB Output is correct
23 Correct 9 ms 2124 KB Output is correct
24 Correct 4 ms 1336 KB Output is correct
25 Correct 5 ms 2172 KB Output is correct
26 Correct 5 ms 1408 KB Output is correct
27 Correct 4 ms 2252 KB Output is correct
28 Correct 5 ms 4108 KB Output is correct
29 Correct 5 ms 1484 KB Output is correct
30 Correct 9 ms 2124 KB Output is correct
31 Correct 20 ms 4808 KB Output is correct
32 Correct 34 ms 7564 KB Output is correct
33 Correct 42 ms 9404 KB Output is correct
34 Correct 54 ms 9644 KB Output is correct
35 Correct 19 ms 9064 KB Output is correct
36 Correct 58 ms 10272 KB Output is correct
37 Correct 47 ms 9916 KB Output is correct
38 Correct 39 ms 17544 KB Output is correct
39 Correct 42 ms 19404 KB Output is correct
40 Correct 87 ms 11588 KB Output is correct
41 Correct 233 ms 43236 KB Output is correct
42 Correct 626 ms 102560 KB Output is correct
43 Correct 293 ms 80176 KB Output is correct
44 Correct 329 ms 167316 KB Output is correct
45 Correct 486 ms 127256 KB Output is correct
46 Correct 697 ms 95076 KB Output is correct
47 Correct 954 ms 98572 KB Output is correct
48 Correct 350 ms 189440 KB Output is correct
49 Correct 766 ms 102152 KB Output is correct
50 Correct 741 ms 101032 KB Output is correct
51 Correct 321 ms 68508 KB Output is correct
52 Correct 303 ms 143752 KB Output is correct
53 Correct 313 ms 188840 KB Output is correct
54 Correct 1199 ms 138980 KB Output is correct
55 Correct 1032 ms 109716 KB Output is correct