Submission #1349060

#TimeUsernameProblemLanguageResultExecution timeMemory
1349060avighnaBaker (JOI26_baker)C++20
100 / 100
985 ms228768 KiB
#include <bits/stdc++.h>

using namespace std;

const int64_t inf = 1e15;

struct line {
  int64_t m, b;
  line() : m(0), b(-inf) {}
  line(int64_t m, int64_t b) : m(m), b(b) {}
  int64_t operator()(int64_t x) { return m * x + b; }
};

struct query {
  int64_t a, b, st, en, i;
};

int32_t main() {
  cin.tie(nullptr)->sync_with_stdio(false);

  int64_t n, m, wait, q;
  cin >> n >> m >> wait >> q;
  vector<int64_t> arr(m + 1);
  vector<line> lines(m + 1);
  for (int i = 1; i <= m; ++i) {
    cin >> arr[i];
    arr[i] += wait;
    lines[i] = {i, -arr[i]};
  }

  vector<int> seg, lef(4 * m), rig(4 * m), cnt(4 * m);
  auto _add_query = [&](auto &&self, int v, int tl, int tr, int l, int r, int i, int mode) {
    if (tr < l || r < tl) {
      return;
    }
    if (l <= tl && tr <= r) {
      if (mode == 0) {
        cnt[v]++;
      } else {
        seg[cnt[v]++] = i;
      }
      return;
    }
    int tm = (tl + tr) / 2;
    self(self, 2 * v, tl, tm, l, r, i, mode);
    self(self, 2 * v + 1, tm + 1, tr, l, r, i, mode);
  };
  auto prepare_query = [&](int l, int r, int i) { _add_query(_add_query, 1, 1, m, l, r, i, 0); };
  auto prepare = [&]() {
    seg.resize(accumulate(cnt.begin(), cnt.end(), 0));
    for (int i = 0, cur_l = 0; i < 4 * m; ++i) {
      lef[i] = cur_l, rig[i] = cur_l + cnt[i];
      cnt[i] = lef[i];
      cur_l = rig[i];
    }
  };
  auto add_query = [&](int l, int r, int i) { _add_query(_add_query, 1, 1, m, l, r, i, 1); };

  vector<query> queries;
  for (int64_t i = 0, a, b; i < q; ++i) {
    cin >> a >> b;
    int st = lower_bound(arr.begin() + 1, arr.end(), a + b) - arr.begin();
    int en = upper_bound(arr.begin() + 1, arr.end(), b + wait) - arr.begin() - 1;
    if (st <= en) {
      queries.emplace_back(a, b, st, en, i);
    }
  }
  sort(queries.begin(), queries.end(), [&](const query &a, const query &b) { return a.a > b.a; });
  for (int i = 0; i < queries.size(); ++i) {
    prepare_query(queries[i].st, queries[i].en, i);
  }
  prepare();
  for (int i = 0; i < queries.size(); ++i) {
    add_query(queries[i].st, queries[i].en, i);
  }

  vector<int64_t> ans(q, -inf);
  vector<line> dq(m);
  int ptr = 0;
  auto process = [&](int v, int tl, int tr) {
    ptr = 0;
    for (int i = tl; i <= tr; ++i) {
      auto compare = [&](const line &l, const line &b, const line &c) {
        return (l.b - b.b) * (c.m - l.m) < (l.b - c.b) * (b.m - l.m);
      };
      while (ptr >= 2 && compare(lines[i], dq[ptr - 1], dq[ptr - 2])) {
        ptr--;
      }
      dq[ptr++] = lines[i];
    }
    for (int _ = lef[v]; _ < rig[v]; ++_) {
      int i = seg[_];
      int64_t x = queries[i].a;
      while (ptr >= 2 && dq[ptr - 2](x) > dq[ptr - 1](x)) {
        ptr--;
      }
      ans[queries[i].i] = max(ans[queries[i].i], dq[ptr - 1](x));
    }
  };
  auto answer_queries = [&](auto &&self, int v, int tl, int tr) -> void {
    if (tl != tr) {
      int tm = (tl + tr) / 2;
      self(self, 2 * v, tl, tm);
      self(self, 2 * v + 1, tm + 1, tr);
    }
    process(v, tl, tr);
  };
  answer_queries(answer_queries, 1, 1, m);

  for (auto &[a, b, st, en, i] : queries) {
    ans[i] = min(en - st + 1, (a * en - b - ans[i]) / a);
  }
  for (int64_t &i : ans) {
    cout << max(i, int64_t(0)) << '\n';
  }
}
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