oj.uz

Submission #390137

# Submission time Handle Problem Language Result Execution time Memory
390137 2021-04-15T12:39:55 Z KoD Space Pirate (JOI14_space_pirate) C++17
47 / 100
 1771 ms 106200 KB 
#include <bits/stdc++.h>

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

using ll = long long;

constexpr ll INF = std::numeric_limits<ll>::max();

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

    int N;
    ll K;
    std::cin >> N >> K;
    Vec<int> A(N);
    for (auto &x: A) {
        std::cin >> x;
        x -= 1;
    }

    if (N <= 3000) {
        Vec<Vec<int>> goes(N);
        Vec<Vec<ll>> ord(N, Vec<ll>(N, INF));
        for (int u = 0; u < N; ++u) {
            goes[u].reserve(N);
            ord[u][u] = 0;
            goes[u].push_back(u);
            while (ord[u][A[goes[u].back()]] == INF) {
                const auto v = A[goes[u].back()];
                const auto k = (int) goes[u].size();
                ord[u][v] = k;
                goes[u].push_back(v);
            }
        }

        
        
        const auto last = [&](const int u) {
            return goes[u].back();
        };
        const auto connects = [&](const int u) {
            return A[last(u)];
        };

        Vec<ll> loop(N);
        for (int i = 0; i < N; ++i) {
            loop[i] = ord[i][last(i)] - ord[i][connects(i)] + 1;
        }
        const auto kth = [&](const int u, const ll k) {
            if (k < (int) goes[u].size()) {
                return goes[u][k];
            }
            else {
                const auto rem = (k - (int) goes[u].size()) % loop[u];
                return goes[u][ord[u][connects(u)] + rem];
            }
        };

        Vec<int> ans(N);
        for (int a = 0; a < N; ++a) {
            for (int b = 0; b < N; ++b) {
                if (ord[0][a] >= K) {
                    ans[kth(0, K)] += 1;
                }
                else {
                    const auto rem = K - ord[0][a] - 1;
                    if (ord[b][a] >= rem) {
                        ans[kth(b, rem)] += 1;
                    }
                    else {
                        const auto idx = (rem - ord[b][a] - 1) % (ord[b][a] + 1);
                        ans[kth(b, idx)] += 1;
                    }
                }
            }
        }

        for (const auto x: ans) {
            std::cout << x << '\n';
        }
    }

    else {
        Vec<int> belong(N, -1);
        Vec<Vec<int>> cycles;

        for (int src = 0; src < N; ++src) {
            if (belong[src] == -1) {
                const auto k = (int) cycles.size();
                cycles.push_back({ });
                int u = src;
                while (belong[u] == -1) {
                    belong[u] = k;
                    cycles[k].push_back(u);
                    u = A[u];
                }
            }
        }

        auto& cycle = cycles[0];
        const auto size = (int) cycle.size();
        Vec<ll> ans(N);
        ans[cycle[K % size]] += (ll) (N - size) * N;
        for (int i = 0; i < N; ++i) {
            if (belong[i] != 0) {
                ans[i] += std::min<ll>(size, K);
            }
        }
        for (int i = 0; i < size; ++i) {
            if (i <= K) {
                ans[cycle[i]] += 1;
            }
            else {
                ans[cycle[K]] += 1;
            }
        }
        for (int len = 2; len <= size; ++len) {
            const auto k = K % len;
            ans[cycle[k]] += len - k - 1;
            ans[cycle[size - len + 1]] += k;
        }
        for (int len = 2; len <= size; ++len) {
            for (int k = K % len; k < size; k += len) {
                const ll l = std::max(k, len - 1);
                const ll r = std::min(k + len - 1, size - 1);
                ans[cycle[k]] += std::min(K - 1, r) - std::max(l, K) + 1;
                ans[cycle[K % size]] += std::max(l, K) - l;
                ans[cycle[K % size]] += r - std::min(K - 1, r);
            }
        }

        for (const auto x: ans) {
            std::cout << x << '\n';
        }
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 444 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 440 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 444 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 448 KB Output is correct

Subtask #2
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 444 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 440 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 444 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 448 KB Output is correct
15 Correct 288 ms 83908 KB Output is correct
16 Correct 252 ms 83268 KB Output is correct
17 Correct 289 ms 84024 KB Output is correct
18 Correct 1771 ms 106200 KB Output is correct
19 Correct 1016 ms 99780 KB Output is correct
20 Correct 979 ms 101992 KB Output is correct
21 Correct 1682 ms 98956 KB Output is correct
22 Correct 829 ms 93464 KB Output is correct
23 Correct 1291 ms 98228 KB Output is correct
24 Correct 631 ms 91716 KB Output is correct
25 Correct 257 ms 83600 KB Output is correct
26 Correct 1633 ms 106184 KB Output is correct
27 Correct 727 ms 89628 KB Output is correct
28 Correct 808 ms 94460 KB Output is correct

Subtask #3
0 / 33.0

# Verdict Execution time Memory Grader output
1 Incorrect 22 ms 3396 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 444 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 440 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 444 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 448 KB Output is correct
15 Correct 288 ms 83908 KB Output is correct
16 Correct 252 ms 83268 KB Output is correct
17 Correct 289 ms 84024 KB Output is correct
18 Correct 1771 ms 106200 KB Output is correct
19 Correct 1016 ms 99780 KB Output is correct
20 Correct 979 ms 101992 KB Output is correct
21 Correct 1682 ms 98956 KB Output is correct
22 Correct 829 ms 93464 KB Output is correct
23 Correct 1291 ms 98228 KB Output is correct
24 Correct 631 ms 91716 KB Output is correct
25 Correct 257 ms 83600 KB Output is correct
26 Correct 1633 ms 106184 KB Output is correct
27 Correct 727 ms 89628 KB Output is correct
28 Correct 808 ms 94460 KB Output is correct
29 Incorrect 22 ms 3396 KB Output isn't correct
30 Halted 0 ms 0 KB -