Submission #348275

#TimeUsernameProblemLanguageResultExecution timeMemory
348275MrDominoSafety (NOI18_safety)C++14
33 / 100
2076 ms1424 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
#define int ll

multiset<int> local_minimum(multiset<int> s, int h) {
  assert((int) s.size() % 2 == 0);
  multiset<int> s2;
  int slope = -(int) s.size() / 2;
  for (auto &x : s) {
    if (slope < 0) {
      s2.insert(x - h);
    }
    if (slope >= 0) {
      s2.insert(x + h);
    }
    slope++;
  }
  return s2;
}

multiset<int> form(multiset<int> s1, multiset<int> s2, int add1, int add2) {
  multiset<int> s;
  for (auto &x : s1) {
    s.insert(x + add1);
  }
  for (auto &x : s2) {
    s.insert(x + add2);
  }
  return s;
}

void print(multiset<int> s) {
  cout << " : ";
  for (auto &x : s) {
    cout << x << " ";
  }
  cout << "\n";
}


int get(multiset<int> s, int a, int b) {
  int n = (int) s.size();
  vector<int> xs;
  for (auto &it : s) {
    xs.push_back(it);
  }
  for (int i = n - 1; i >= 0; i--) {
    b += xs[i];
    a--;
    if (a == 0) {
      return b;
    }
  }
  assert(0);
}



signed main() {
  ios::sync_with_stdio(0); cin.tie(0);

  multiset<int> s, s1, s2;
  int n, h, x, b = 0, add1 = 0, add2 = 0;
  cin >> n >> h >> x;
  s.insert(x);
  s.insert(x);
  s1.insert(x);
  s2.insert(x);
  assert(s == form(s1, s2, add1, add2));
  b = -x;
  b -= h * (n - 1) * n / 2;

  for (int i = 2; i <= n; i++) {
    s = local_minimum(s, h);
    add1 -= h;
    add2 += h;
    assert(s == form(s1, s2, add1, add2));
    int cut = *s2.begin() + add2;
    int x;
    cin >> x;
    b -= x;
    s.insert(x);
    s.insert(x);
    if (x < cut) {
      s1.insert(x - add1);
      s1.insert(x - add1);
      auto it = s1.end();
      it--;
      int val = *it + add1;
      s1.erase(it);
      s2.insert(val - add2);
    } else {
      s2.insert(x - add2);
      s2.insert(x - add2);
      auto it = s2.begin();
      int val = *it + add2;
      s2.erase(it);
      s1.insert(val - add1);
    }
    assert(s == form(s1, s2, add1, add2));
  }
  cout << get(s, (int) s.size() / 2, b) << "\n";
}
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