oj.uz

Submission #390144

# Submission time Handle Problem Language Result Execution time Memory
390144 2021-04-15T12:48:42 Z KoD Space Pirate (JOI14_space_pirate) C++17
47 / 100
 1712 ms 106276 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) {
            ans[cycle[i]] += 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]] += r - l + 1;
            }
        }

        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 396 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 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 332 KB Output is correct

Subtask #2
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 396 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 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 332 KB Output is correct
15 Correct 278 ms 83884 KB Output is correct
16 Correct 244 ms 83144 KB Output is correct
17 Correct 288 ms 84032 KB Output is correct
18 Correct 1712 ms 106188 KB Output is correct
19 Correct 1032 ms 99668 KB Output is correct
20 Correct 955 ms 102084 KB Output is correct
21 Correct 1628 ms 98964 KB Output is correct
22 Correct 756 ms 93460 KB Output is correct
23 Correct 1268 ms 98340 KB Output is correct
24 Correct 593 ms 91844 KB Output is correct
25 Correct 258 ms 83664 KB Output is correct
26 Correct 1596 ms 106276 KB Output is correct
27 Correct 728 ms 89552 KB Output is correct
28 Correct 861 ms 94448 KB Output is correct

Subtask #3
0 / 33.0

# Verdict Execution time Memory Grader output
1 Incorrect 21 ms 2764 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 396 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 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 332 KB Output is correct
15 Correct 278 ms 83884 KB Output is correct
16 Correct 244 ms 83144 KB Output is correct
17 Correct 288 ms 84032 KB Output is correct
18 Correct 1712 ms 106188 KB Output is correct
19 Correct 1032 ms 99668 KB Output is correct
20 Correct 955 ms 102084 KB Output is correct
21 Correct 1628 ms 98964 KB Output is correct
22 Correct 756 ms 93460 KB Output is correct
23 Correct 1268 ms 98340 KB Output is correct
24 Correct 593 ms 91844 KB Output is correct
25 Correct 258 ms 83664 KB Output is correct
26 Correct 1596 ms 106276 KB Output is correct
27 Correct 728 ms 89552 KB Output is correct
28 Correct 861 ms 94448 KB Output is correct
29 Incorrect 21 ms 2764 KB Output isn't correct
30 Halted 0 ms 0 KB -