제출 #932572

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
932572		vjudge1	Two Currencies (JOI23_currencies)	C++17	100 / 100	817 ms	42496 KiB

currencies

#include <iostream>
#include <vector>
#include <queue>
#include <utility>
#include <algorithm>
const int LOG = 18;
template <typename T>
struct binary_indexed_tree{
  int N;
  std::vector<T> BIT;
  binary_indexed_tree(int N): N(N), BIT(N + 1, 0){
  }
  void add(int i, T x){
    i++;
    while (i <= N){
      BIT[i] += x;
      i += i & -i;
    }
  }
  T sum(int i){
    T ans = 0;
    while (i > 0){
      ans += BIT[i];
      i -= i & -i;
    }
    return ans;
  }
};
int main(){
  int N, M, Q;
  std::cin >> N >> M >> Q;
  std::vector<int> A(N - 1), B(N - 1);
  for (int i = 0; i < N - 1; i++){
    std::cin >> A[i] >> B[i];
    A[i]--;
    B[i]--;
  }
  std::vector<int> P(M), C(M);
  for (int i = 0; i < M; i++){
    std::cin >> P[i] >> C[i];
    P[i]--;
  }
  std::vector<int> S(Q), T(Q);
  std::vector<int> X(Q);
  std::vector<long long> Y(Q);
  for (int i = 0; i < Q; i++){
    std::cin >> S[i] >> T[i] >> X[i] >> Y[i];
    S[i]--;
    T[i]--;
  }
  std::vector<std::vector<int>> E(N);
  for (int i = 0; i < N - 1; i++){
    E[A[i]].push_back(B[i]);
    E[B[i]].push_back(A[i]);
  }
  std::vector<int> p(N, -1);
  std::vector<std::vector<int>> c(N);
  std::vector<int> d(N, 0);
  std::queue<int> q;
  q.push(0);
  while (!q.empty()){
    int v = q.front();
    q.pop();
    for (int w : E[v]){
      if (w != p[v]){
        p[w] = v;
        c[v].push_back(w);
        d[w] = d[v] + 1;
        q.push(w);
      }
    }
  }
  for (int i = 0; i < N - 1; i++){
    if (B[i] == p[A[i]]){
      std::swap(A[i], B[i]);
    }
  }
  std::vector<std::vector<int>> pp(LOG, std::vector<int>(N, -1));
  pp[0] = p;
  for (int i = 0; i < LOG - 1; i++){
    for (int j = 0; j < N; j++){
      if (pp[i][j] != -1){
        pp[i + 1][j] = pp[i][pp[i][j]];
      }
    }
  }
  std::vector<int> L(Q);
  for (int i = 0; i < Q; i++){
    int u = S[i], v = T[i];
    if (d[u] > d[v]){
      std::swap(u, v);
    }
    for (int j = 0; j < LOG; j++){
      if (((d[v] - d[u]) >> j & 1) == 1){
        v = pp[j][v];
      }
    }
    if (u == v){
      L[i] = u;
    } else {
      for (int j = LOG - 1; j >= 0; j--){
        if (pp[j][u] != pp[j][v]){
          u = pp[j][u];
          v = pp[j][v];
        }
      }
      L[i] = p[u];
    }
  }
  std::vector<int> in(N), out(N);
  int t = 0;
  auto dfs = [&](auto dfs, int v = 0) -> void {
    if (v != 0){
      in[v] = t;
      t++;
    }
    for (int w : c[v]){
      dfs(dfs, w);
    }
    if (v != 0){
      out[v] = t;
      t++;
    }
  };
  dfs(dfs);
  in[0] = -1;
  std::vector<std::pair<int, int>> D(M);
  for (int i = 0; i < M; i++){
    D[i] = std::make_pair(C[i], P[i]);
  }
  std::sort(D.begin(), D.end());
  std::vector<int> tv(Q, -1), fv(Q, M + 1);
  std::vector<int> cnt(Q);
  while (true){
    bool ok = true;
    std::vector<std::vector<int>> id(M + 1);
    for (int i = 0; i < Q; i++){
      if (fv[i] - tv[i] > 1){
        ok = false;
        id[(tv[i] + fv[i]) / 2].push_back(i);
      }
    }
    if (ok){
      break;
    }
    binary_indexed_tree<int> BIT1(N * 2 - 2);
    binary_indexed_tree<long long> BIT2(N * 2 - 2);
    for (int i = 0; i < M; i++){
      BIT1.add(in[B[P[i]]], 1);
      BIT1.add(out[B[P[i]]], -1);
    }
    for (int i = 0; i <= M; i++){
      for (int j : id[i]){
        long long s = BIT2.sum(in[S[j]] + 1) + BIT2.sum(in[T[j]] + 1) - BIT2.sum(in[L[j]] + 1) * 2;
        if (s <= Y[j]){
          cnt[j] = BIT1.sum(in[S[j]] + 1) + BIT1.sum(in[T[j]] + 1) - BIT1.sum(in[L[j]] + 1) * 2;
          tv[j] = i;
        } else {
          fv[j] = i;
        }
      }
      if (i < M){
        int x = D[i].first;
        int e = D[i].second;
        BIT1.add(in[B[e]], -1);
        BIT1.add(out[B[e]], 1);
        BIT2.add(in[B[e]], x);
        BIT2.add(out[B[e]], -x);
      }
    }
  }
  for (int i = 0; i < Q; i++){
    std::cout << std::max(X[i] - cnt[i], -1) << "\n";
  }
}

• Subtask 1: 10 / 10
• Subtask 2: 28 / 28
• Subtask 3: 30 / 30
• Subtask 4: 32 / 32