oj.uz

Submission #653396

# Submission time Handle Problem Language Result Execution time Memory
653396 2022-10-26T17:53:52 Z leeh18 Džumbus (COCI19_dzumbus) C++17
110 / 110
 56 ms 23268 KB 
#include <bits/stdc++.h>

#include <algorithm>
#include <cassert>
#include <vector>

namespace atcoder {

struct dsu {
  public:
    dsu() : _n(0) {}
    explicit dsu(int n) : _n(n), parent_or_size(n, -1) {}

    int merge(int a, int b) {
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        int x = leader(a), y = leader(b);
        if (x == y) return x;
        if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y);
        parent_or_size[x] += parent_or_size[y];
        parent_or_size[y] = x;
        return x;
    }

    bool same(int a, int b) {
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        return leader(a) == leader(b);
    }

    int leader(int a) {
        assert(0 <= a && a < _n);
        if (parent_or_size[a] < 0) return a;
        return parent_or_size[a] = leader(parent_or_size[a]);
    }

    int size(int a) {
        assert(0 <= a && a < _n);
        return -parent_or_size[leader(a)];
    }

    std::vector<std::vector<int>> groups() {
        std::vector<int> leader_buf(_n), group_size(_n);
        for (int i = 0; i < _n; i++) {
            leader_buf[i] = leader(i);
            group_size[leader_buf[i]]++;
        }
        std::vector<std::vector<int>> result(_n);
        for (int i = 0; i < _n; i++) {
            result[i].reserve(group_size[i]);
        }
        for (int i = 0; i < _n; i++) {
            result[leader_buf[i]].push_back(i);
        }
        result.erase(
            std::remove_if(result.begin(), result.end(),
                           [&](const std::vector<int>& v) { return v.empty(); }),
            result.end());
        return result;
    }

  private:
    int _n;
    std::vector<int> parent_or_size;
};

}  // namespace atcoder

using namespace std;

constexpr auto inf = numeric_limits<long long>::max() / 2;

auto operator+(const vector<long long> &a, const vector<long long> &b) {
    assert(a.size() == b.size());
    vector<long long> c(a.size());
    for (auto i = 0U; i < a.size(); ++i) {
        c[i] = min(a[i], b[i]);
    }
    return c;
}

auto operator*(const vector<long long> &a, const vector<long long> &b) {
    vector<long long> c(a.size() + b.size() - 1U, inf);
    for (auto i = 0U; i < a.size(); ++i) {
        for (auto j = 0U; j < b.size(); ++j) {
            c[i + j] = min(c[i + j], a[i] + b[j]);
        }
    }
    return c;
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    int N, M;
    cin >> N >> M;
    vector<long long> D(N + 1);
    copy_n(istream_iterator<long long>(cin), N, next(D.begin()));
    vector<vector<int>> adj(N + 1);
    atcoder::dsu dsu(N + 1);
    for (auto i = 0; i < M; ++i) {
        int A, B;
        cin >> A >> B;
        adj[A].push_back(B);
        adj[B].push_back(A);
        dsu.merge(A, B);
    }
    for (auto i = 1; i <= N; ++i) {
        if (dsu.leader(i) == i) {
            adj[0].push_back(i);
        }
    }
    vector<vector<vector<long long>>> dp(3, vector<vector<long long>>(N + 1));
    auto f = [&](auto self, int u, int p) -> void {
        dp[0][u] = {inf, inf};
        dp[1][u] = {inf, D[u]};
        dp[2][u] = {0LL, inf};
        for (auto v : adj[u]) if (v != p) {
            self(self, v, u);
            dp[0][u] = dp[0][u] * (dp[0][v] + dp[1][v] + dp[2][v]) + dp[1][u] * (dp[0][v] + dp[1][v]);
            dp[1][u] = dp[1][u] * dp[2][v];
            dp[2][u] = dp[2][u] * (dp[0][v] + dp[2][v]);
        }
    };
    f(f, 0, 0);
    auto v = dp[2][0];
    int Q;
    cin >> Q;
    vector<pair<long long, int>> qs;
    qs.reserve(Q);
    for (auto i = 0; i < Q; ++i) {
        long long S;
        cin >> S;
        qs.emplace_back(S, i);
    }
    vector<int> ans(Q);
    sort(qs.rbegin(), qs.rend());
    for (auto [S, i] : qs) {
        while (v.back() > S) {
            v.pop_back();
        }
        ans[i] = static_cast<int>(v.size()) - 1;
    }
    copy(ans.begin(), ans.end(), ostream_iterator<int>(cout, "\n"));
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 16496 KB Output is correct
2 Correct 19 ms 16660 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 16496 KB Output is correct
2 Correct 19 ms 16660 KB Output is correct
3 Correct 54 ms 22604 KB Output is correct
4 Correct 56 ms 23268 KB Output is correct
5 Correct 54 ms 22824 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 6320 KB Output is correct
2 Correct 34 ms 6084 KB Output is correct
3 Correct 38 ms 6636 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 16496 KB Output is correct
2 Correct 19 ms 16660 KB Output is correct
3 Correct 54 ms 22604 KB Output is correct
4 Correct 56 ms 23268 KB Output is correct
5 Correct 54 ms 22824 KB Output is correct
6 Correct 40 ms 6320 KB Output is correct
7 Correct 34 ms 6084 KB Output is correct
8 Correct 38 ms 6636 KB Output is correct
9 Correct 38 ms 6976 KB Output is correct
10 Correct 45 ms 7324 KB Output is correct
11 Correct 43 ms 7116 KB Output is correct